A person needs to fill 14 water jugs with a hose. Filling the first 2 jugs has taken 3 minutes. How long to finish filling the remaining jugs?

the answer to this question is

m=1

Answer: y<-x+3

Step-by-step explanation:

Slope-Intercept Form formula is y=mx+b.

1. Rearrange the variables (subtract x).  x+y<3  --> y<-x+3.

2. y<-x+3 is the final answer!

Very Simple!

Please vote me brainliest! Thanks!

The solution to all parts is shown below.

First, let's filter out all non-valid responses, such as "IAP" (Inapplicable), "NA" (Not Applicable), or "Blank."

Frequency distribution table for the variable "can trust":

| Response                | Frequency |

| Always trusted        |     x     |

| Usually trusted        |     y     |

| Usually not trusted  |    z    |

| Always not trusted  |     w     |

Relative frequency distribution table for the variable "cantrust":

| Response                | Relative Frequency |

| Always trusted        |         x/n        |

| Usually trusted        |         y/n        |

| Usually not trusted |       z/n       |

| Always not trusted  |         w/n        |

Pie chart with the distribution of responses:

To find the percentage of respondents who say strangers can be "always trusted," we calculate the relative frequency or proportion for the "Always trusted" category.

Percentage of respondents who say strangers can be "always trusted"

= (x/n) x 100%

Now, let's calculate the 95% confidence margin of error for the proportion of Americans who answer strangers can "always be trusted":

Margin of error = (z-score) (standard error)

The z-score depends on the desired confidence level. For a 95% confidence level, the z-score is approximately 1.96.

The standard error can be calculated as:

Standard error = √[(p (1 - p)) / n]

Once we have the margin of error, we can calculate the 95% confidence interval as follows:

Confidence interval = p ± margin of error

The confidence interval provides a range within which the true proportion of Americans who say strangers can be "always trusted" is likely to fall.

By interpreting margin of errors and confidence intervals is essential because survey data is collected from a sample rather than the entire population.

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The measure of the angle ∠ADC is 36°.

Given that a circle T, the inscribed angle ∠ABC = 72°, we need to find the measure of the angle ∠ADC,

So, according to the inscribed angle theorem,

2 ∠ABC = arc AC

arc AC = 144°

Now, since the whole circumference is 360°,

So,

arc ADC = 360° - arc AC

arc ADC = 216°

So,

∠ADC = 1/2 [arc ADC - arc AC]

∠ADC = 1/2 [216° - 144°]

∠ADC = 36°

Hence the measure of the angle ∠ADC is 36°.

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If the triangle on the left had the same area as the circle on the right, it would require more resources and potentially be more unstable than the current configuration.

If the triangle on the left had the same area as the circle on the right, it would mean that the triangle would have to be larger than its current size. This is because the area of a circle is determined by the formula A=πr^2, where r is the radius of the circle.

Therefore, if the area of the circle is equal to the area of the triangle, the radius of the circle would have to be equal to the height of the triangle, and the base of the triangle would need to be wider.

This would result in a larger triangle with a greater surface area than the current triangle. The larger triangle would also have a longer perimeter, which would make it more difficult to enclose and would require more material to construct.

Additionally, the larger triangle would have a higher center of gravity, which could make it more difficult to balance and more prone to tipping over.

Overall, if the triangle on the left had the same area as the circle on the right, it would require more resources and potentially be more unstable than the current configuration.

It is important to consider both the area and the shape of an object when determining its practicality and effectiveness in a given situation.

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The probability that event A or B takes place is 17/19

Probability is defined as the ratio of the required to the total possible outcomes of an event.

The probability of event A or B taking place can be defined as ;

P(A or B) = P(A) + P(B)

P(A) = 10/19

P(B) = 7/19

Hence,

P(A) + P(B) = 10/19 + 7/19

L.C.M of 19 and 19 = 1

P(A) + P(B) = (10 + 7)/19

P(A) + P(B) = 17/19

Therefore, the probability that event A or B takes place is 17/19

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Answer:

Step-by-step explanation:

Answer:

55°

Step-by-step explanation:

if angle 4 = 105°, then angle 3 must be 180 - 105 = 75° (angles in straight line add up to 180°).

angles in a triangle also add up to 180°.

so we expect angle 2 to be 180 - angle 6 - angle 3

= 180 - 50 - 75

= 55°.

The area of a 135 slice of pizza be,

⇒ 6,782.41 inches²

We have to given that;

Recently they had a lunch special for a Personal Pie with a radius of 4 inches .

Since, WE know that;

Area of circle is,

A = πr²

Where, r is radius of circle

Here, Radius of circle = 4 inches

Hence, Area of pizza is,

⇒ A = 3.14 x 4²

⇒ A = 50.24 inches²

Hence, the area of a 135 slice of pizza be,

⇒ 50.24 × 135

⇒ 6,782.41 inches²

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The expression that shows the result of that transformation are:

3f(x) = 3.4ˣ

f(3x)=4³ˣ

f(x+3)=4ˣ⁺³

f(x)+3=4ˣ+3.

The given function is f(x) =4ˣ.

We have to find the transformations applied to the function f(x).

Graph transformation involves modifying an existing graph or graphed equation to create a different version of the original graph.

f(x) =4ˣ

We have to find 3f(x), f(3x), f(x+3) and f(x)+3.

3f(x) = 3.4ˣ

f(3x)=4³ˣ

f(x+3)=4ˣ⁺³

f(x)+3=4ˣ+3.

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The estimated height of the older snail's shell is approximately 13 centimeters.

To estimate the height of the older snail's shell, we can use the concept of proportional relationships between the heights and volumes of the snail shells.

Let's denote the height of the older snail's shell as "h" (in centimeters). We can set up a proportion based on the relationship between the heights and volumes of the snail shells:

(height of younger snail) / (volume of younger snail) = (height of older snail) / (volume of older snail)

Substituting the given values:

3.9 / 3 = h / 10

To solve for "h," we can cross-multiply and then divide:

3 * h = 3.9 * 10

3h = 39

h = 39 / 3

h ≈ 13

The estimated height of the older snail's shell is approximately 13 centimeters.

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The step in which the subtraction property of equality was applied to solve the equation is given as follows:

D. The subtraction property of equality was not applied to solve this equation.

The subtraction property of equality states that subtracting the same number from both sides of an equation does not affect the equality, and hence it is used to isolate a variable that is adding on a side of the expression.

For this problem, to remove the term -7, we add 7 to both sides of the expression, hence the addition property of equality was applied.

In the other step, the multiplication property was applied, hence option D is the correct option for this problem.

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Answer:

n = 19

Step-by-step explanation:

2n > 36 ( divide both sides by 2 )

n > 18

and

5n < 100 ( divide both sides by 5 )

n < 20

so n > 18 and n < 20

thus n = 19

Answer:

1)  x - 3y = -16

2)  4x - y = -17

Step-by-step explanation:

To determine the equation of a line that is parallel to x - 3y = 9 and passes through the point (2, 6), we first need to find the slope of x - 3y = 9.

To do this, rearrange the equation so that it is in slope-intercept form.

Slope intercept form is y = mx + b, where m is the slope and b is the y-intercept.

[tex]\begin{aligned}x-3y&=9\\x-3y+3y-9&=9+3y-9\\x-9&=3y\\3y&=x-9\\y&=\dfrac{1}{3}x-3\end{aligned}[/tex]

Therefore, the slope of the given line is 1/3.

Parallel lines have the same slope.

Therefore, to find the equation of the parallel line that passes through point (2, 6), substitute m = 1/3 and the point (2, 6) into the point-slope formula:

[tex]\begin{aligned}y-y_1&=m(x-x_1)\\\\\implies y-6&=\dfrac{1}{3}(x-2)\end{aligned}[/tex]

Rearrange to standard form Ax + By = C (where A is positive):

[tex]\begin{aligned}y-6&=\dfrac{1}{3}(x-2)\\3y-18&=x-2\\-18&=x-3y-2\\x-3y&=-16\end{aligned}[/tex]

Therefore, the equation of the line in standard form that is parallel to x - 3y = 9 and passes through the point (2, 6) is:

[tex]\boxed{x-3y=-16}[/tex]

[tex]\hrulefill[/tex]

To determine the equation of a line that is perpendicular to y + 1/4x - 5 = 0 and passes through the point (-3, 5), we first need to find the slope of y + 1/4x - 5 = 0.

To do this, rearrange the equation so that it is in slope-intercept form.

Slope intercept form is y = mx + b, where m is the slope and b is the y-intercept.

[tex]\begin{aligned}y + \dfrac{1}{4}x - 5 &= 0\\y&=-\dfrac{1}{4}x+5 \end{aligned}[/tex]

Therefore, the slope of the given line is -1/4.

The slopes of perpendicular lines are negative reciprocals.

Therefore, the slope of the perpendicular line is 4.

Therefore, to find the equation of the perpendicular line that passes through point (-3, 5), substitute m = 4 and the point (-3, 5) into the point-slope formula:

[tex]\begin{aligned}y-y_1&=m(x-x_1)\\\\\implies y-5&=4(x-(-3))\end{aligned}[/tex]

Rearrange to standard form Ax + By = C (where A is positive):

[tex]\begin{aligned}y-5&=4(x-(-3))\\y-5&=4(x+3)\\y-5&=4x+12\\-5-12&=4x-y\\4x-y&=-17\end{aligned}[/tex]

Therefore, the equation of the line in standard form that is perpendicular to y + 1/4x - 5 = 0 and passes though point (-3, 5) is:

[tex]\boxed{4x-y=-17}[/tex]

1. The price of a pair of gloves (x) is $8.50, and the price of a hat (y) is $6.50.

2. Aaliyah invested $7,200 in the mutual fund that rose 6% and $2,800 in the mutual fund that rose 9%.

1. Let's assume the price of a pair of gloves is represented by 'x' and the price of a hat is represented by 'y'.

From the given information, we can establish the following equations based on Cody and Tor's purchases:

Equation 1: 2x + 4y = 43.00 (Cody's purchase)

Equation 2: 2x + 2y = 30.00 (Tor's purchase)

To solve this system of equations, we can use a method like substitution or elimination.

Using the substitution method, we can rearrange Equation 2 to express x in terms of y:

2x = 30.00 - 2y

x = 15.00 - y

Now, we substitute this value of x into Equation 1:

2(15.00 - y) + 4y = 43.00

30.00 - 2y + 4y = 43.00

2y = 43.00 - 30.00

2y = 13.00

y = 6.50

Substituting this value of y back into Equation 2 to find x:

2x + 2(6.50) = 30.00

2x + 13.00 = 30.00

2x = 30.00 - 13.00

2x = 17.00

x = 8.50

Therefore, the price of a pair of gloves (x) is $8.50, and the price of a hat (y) is $6.50.

2. Let's assume Aaliyah invested an amount represented by 'x' in the mutual fund that rose 6% and an amount represented by 'y' in the mutual fund that rose 9%.

From the given information, we can establish the following equations based on the rise in investment:

Equation 1: 0.06x + 0.09y = 684 (rise in investment)

Equation 2: x + y = 10,000 (total investment)

To solve this system of equations, we can use a method like substitution or elimination.

Using the substitution method, we can rearrange Equation 2 to express x in terms of y:

x = 10,000 - y

Now, we substitute this value of x into Equation 1:

0.06(10,000 - y) + 0.09y = 684

600 - 0.06y + 0.09y = 684

0.03y = 84

y = 2800

Substituting this value of y back into Equation 2 to find x:

x + 2800 = 10,000

x = 10,000 - 2800

x = 7200

Therefore, Aaliyah invested $7,200 in the mutual fund that rose 6% and $2,800 in the mutual fund that rose 9%.

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The equation for the circle is

(x - 1)² + (y + 2)² = 9

Then the radius is 3 units and the center is (1, -2), the graph is on the image at the end.

Remember that for an equation for a circle of radius R and center (a, b), the equation is:

(x - a)² + (y - b)² = R²

Here we have the equation of the circle:

x² + y² - 2x + 4y - 4 = 0

We need to complete squares, we will get:

(x² - 2x) + (y² + 2*2y)  = 4

Now we can add in both sides (-1)² and (2)², then we will get:

(x² - 2x + (-1)²) + (y² + 2*2y +  (2)²)  = 4 +  (2)² + (-1)²

(x - 1)² + (y + 2)² = 4 + 4 + 1

(x - 1)² + (y + 2)² = 9 = 3²

Then we can see that the center is (1, -2), and the radius is 3.

The graph of this circle is on the image at the end.

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Answer:

x = 8 and y = -4

Step-by-step explanation:

3x + 4y = 8    (call this equation '1')

x - y = 12      (call this '2')

multiply '2' by 3:

3x - 3y = 36  (call this '3')

subtract '1' from '3':

(3x - 3y = 36)  -  (3x + 4y = 8)

0x + -7y = 28

-7y = 28

y = -4.

sub that back into '1':

3x + 4y = 8

3x + 4(-4) = 8

3x - 16 = 8

3x = 8 + 16 = 24

x = 8.

sub both y =-4 and x =8 into '2' to check if everything adds up:

x - y = 12

8 - -4 = 8 + 4 = 12

so x = 8 and y = -4

Mr. Jones in Johannesburg is billed R9,767.12 and Ms. Brown in Cape Town is billed R680.24 for their respective properties.

From the provided information for Cape Town's sanitation tariffs:

0-4.2 kl: R16.03 per kl

Since 4.1 ke is equivalent to 4100 liters, which is less than 4.2 kl, we can use the tariff rate for the 0-4.2 kl range.

Cost for 4.1 ke of sanitation

= 4.1 ke x R16.03 per kl

= 4100 liters x R16.03 per kl

= R65.83

For Mr. Jones and Ms. Brown, who own properties with an area of 550 m² each and were billed for 22 kl of sanitation.

we need to determine the applicable tariff rate based on the property size and calculate the cost.

In Johannesburg, based on the provided information, the tariff rate for properties larger than 300 m² to 1,000 m² is R443.96.

Cost of sanitation for Mr. Jones in Johannesburg:

= 22 kl x R443.96 per kl

= R9,767.12

Cost of sanitation for Ms. Brown in Cape Town:

= 22 kl x R30.92 per kl = R680.24

Therefore, Mr. Jones in Johannesburg is billed R9,767.12 and Ms. Brown in Cape Town is billed R680.24 for their respective properties.

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Answer:

$60

Step-by-step explanation:

Based on the regression equation, the best prediction for the price of a 70-pound container of detergent can be found by substituting x = 70 into the equation:

y^ = 0.86x + 0.52

y^ = 0.86(70) + 0.52

y^ = 60.2 + 0.52

y^ ≈ $60.72

Therefore, the best prediction for the price of a 70-pound container of detergent is approximately $60.72. However, since we are dealing with prices, it is reasonable to round this value to the nearest dollar, which would be $61. But since none of the answers are 61 it would be $60.

The nominal rate per annum compounded half-yearly, equivalent to an effective rate of 14.5% per annum, is approximately 14.900625%.

To convert an effective rate to a nominal rate compounded half-yearly, we can use the formula:

Nominal rate [tex]= (1 + r/m)^m - 1[/tex]

Where:

r = effective rate

m = number of compounding periods per year

In this case, the effective rate is 14.5% per annum, and we want to convert it to a nominal rate compounded half-yearly.

Since compounding is done semi-annually, m would be 2.

Plugging in the values:

Nominal rate [tex]= (1 + 0.145/2)^2 - 1[/tex]  

Simplifying the expression inside the parentheses:

Nominal rate [tex]= (1 + 0.0725)^2 - 1[/tex]

Calculating the exponent:

Nominal rate [tex]= (1.0725)^2-1[/tex]

Performing the calculations:

Nominal rate = 1.14900625 - 1

Nominal rate = 0.14900625

Converting the nominal rate to a percentage:

Nominal rate = 14.900625%

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The horizontal variance of sales between 2021 and 2022 is 340

By removing the sales figure of 2021 from that of 2022, we are able to arrive at the above figure.

That is Amount of 2022  – Amount of 2021 = Absolute Change.

Figure for 2022 = 3800

Less

Figure for 2021 = 3,460

Variance                340

Excel formula : = Cell no. of amount of 2022 - Cell no of amount of 2021

Note that a negative amount means decrease and positive amount means increase.

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Answer:

Step-by-step explanation:

To solve this problem, we can use the following formula:

(quantity of tea 1 x price of tea 1) + (quantity of tea 2 x price of tea 2) = total quantity x price of mixture

Let x be the number of pounds of black tea that the store owner needs to mix with the oolong tea.

We know that:

The store owner has 35 pounds of oolong tea that sells for $2.40 per pound.

The store owner wants to sell the final mixture for $2.10 per pound.

The black tea is worth $1.80 per pound.

Using the formula above, we can write:

(35 x 2.40) + (x x 1.80) = (35 + x) x 2.10

Simplifying this equation, we get:

84 + 1.8x = 73.5 + 2.1x

0.3x = 10.5

x = 35

Therefore, the store owner needs to mix 35 pounds of black tea with the oolong tea.

I hope this helps! Let me know if you have any other questions.

Answer:

Step-by-step explanation:

Let's assume the store owner needs to mix x pounds of black tea with the 35 pounds of oolong tea.

The cost of the oolong tea is $2.40 per pound, so the total cost of the oolong tea is:

Cost of oolong tea = 35 pounds × $2.40/pound = $84

The cost of the black tea is $1.80 per pound, and the final mixture needs to be sold for $2.10 per pound. To achieve an average price of $2.10 per pound, the total cost of the mixture should be:

Total cost of mixture = (35 + x) pounds × $2.10/pound = $73.5 + $2.10x

Since the cost of the mixture should equal the sum of the costs of the oolong and black teas, we can set up the equation:

$73.5 + $2.10x = $84

Now, let's solve for x to find the amount of black tea needed:

$2.10x = $84 - $73.5

$2.10x = $10.5

x = $10.5 / $2.10

x ≈ 5

Therefore, the store owner needs to mix approximately 5 pounds of black tea with the 35 pounds of oolong tea in order to sell the final mixture for $2.10 per pound.

Answer:

x=i[tex]\sqrt{2}[/tex], x=-i[tex]\sqrt{2}[/tex]

Step-by-step explanation:

This equation can be factored. In order to do so, we can split the expression into two parts: (x^3-3x^2) and (2x-6). The greatest common factor of the first group is x^2, factoring it out gives us x^2(x-3). The greatest common factor of the second group is 2, factoring it out gives us 2(x-3). Since both x^2 and 2 are being multiplied by x-3, we add them into a factored form of (x^2+2)(x-3)=0

x-3 provides us with one real root, so we can disregard it.
x^2+2=0 ---> x^2=-2--->x=±[tex]\sqrt{-2}[/tex]
Factoring out the imaginary number i (equals [tex]\sqrt{-1}[/tex]), we get x=±i[tex]\sqrt{2}[/tex]

The number of squares that are in 384 sq ft is 0

From the question, we have the following parameters that can be used in our computation:

Area expression = 384 sq ft

The above expression is an area expression

This means that it cannot be compared to quantities other then squares

The term "how many squares" is not an area expression

Hence, there are no squares in 384 sq ft

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The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.

In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.

The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.

To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.

Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.

As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.

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Answer:

See attachments.

Step-by-step explanation:

The quickest way to sketch the given functions, given that the coordinate plane is restricted to -5 ≤ x ≤ 5, is to substitute the values of x into the functions to find the points for the given interval. Plot these points on the given coordinate plane, and draw a continuous curve through the points.

Given function:

[tex]y=\dfrac{5}{x}-2, \quad x > 0[/tex]

Substitute the values of x = 1, x = 2, x = 3, x = 4 and x = 5 into the function:

[tex]\begin{aligned}x=1 \implies y&=\dfrac{5}{1}-2\\&=5-2\\&=3\end{aligned}[/tex]

[tex]\begin{aligned}x=2 \implies y&=\dfrac{5}{2}-2\\&=2.5-2\\&=0.5\end{aligned}[/tex]

[tex]\begin{aligned}x=3 \implies y&=\dfrac{5}{3}-2\\&=-0.333...\end{aligned}[/tex]

[tex]\begin{aligned}x=4 \implies y&=\dfrac{5}{4}-2\\&=1.25-2\\&=-0.75\end{aligned}[/tex]

[tex]\begin{aligned}x=5 \implies y&=\dfrac{5}{5}-2\\&=1-2\\&=-1\end{aligned}[/tex]

Plot the points (1, 3), (2, 0.5), (3, -0.333...), (4, -0.75) and (5, -1) on the given coordinate plane and draw a continuous curve through them.

End behaviour:

[tex]\hrulefill[/tex]

Given function:

[tex]y=\dfrac{-2}{x+1}+3, \quad x < -1[/tex]

Substitute the values of x = -2, x = -3, x = -4 and x = -5 into the function:

[tex]\begin{aligned}x=-2 \implies y&=\dfrac{-2}{-2+1}+3\\&=2+3\\&=5\end{aligned}[/tex]

[tex]\begin{aligned}x=-3 \implies y&=\dfrac{-2}{-3+1}+3\\&=1+3\\&=4\end{aligned}[/tex]

[tex]\begin{aligned}x=-4 \implies y&=\dfrac{-2}{-4+1}+3\\&=0.666...+3\\&=3.666...\end{aligned}[/tex]

[tex]\begin{aligned}x=-5 \implies y&=\dfrac{-2}{-5+1}+3\\&=0.5+3\\&=3.5\end{aligned}[/tex]

Plot the points (-2, 5), (-3, 4), (-4, 3.666...) and (-5, 3.5) on the given coordinate plane and draw a continuous curve through them.

End behaviour:

The value of x from the given similar triangles is 10 units.

The given triangles are similar.

Here, 3x/(4x+2) = 20/28

3x/(4x+2) = 5/7

7×3x = 5(4x+2)

21x=20x+10

21x-20x=10

x=10 units

Therefore, the value of x from the given similar triangles is 10 units.

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The reasoning of the student is wrong because the claim doesn't abide by the sine rule and formula.

The sine rule states that in a triangle, side “a” divided by the sine of angle A is equal to the side “b” divided by the sine of angle B is equal to the side “c” divided by the sine of angle C.

That is;

a/sinA= b/sinB = c/sinC

Therefore, the proper equation to find X = 5/sin98° = X/sin20°

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Mbhalati's statement is valid.

The charge of R180 is less than the total value of his deposit is R2000.

To determine whether Mbhalati's statement is valid, we need to calculate the total value of his deposit and compare it to the stated charge.

Given information:

Value of notes deposited: R1500

Value of coins deposited: R500

Charge for the deposit: R180

To calculate the total value of Mbhalati's deposit, we add the value of the notes and the value of the coins:

Total deposit value = Value of notes + Value of coins

Total deposit value = R1500 + R500

Total deposit value = R2000

Now, let's compare the total deposit value to the stated charge:

Total deposit value = R2000

Stated charge = R180

Mbhalati's statement would be valid if the stated charge (R180) is equal to or less than the total deposit value (R2000).

Let's check:

Is R180 ≤ R2000?

Yes, R180 is less than R2000.

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[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{-4}~,~\stackrel{y_1}{5})\qquad B(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x -4}{2}~~~ ,~~~ \cfrac{ y +5}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE M} }{(5~~,~~-1)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ x -4 }{2}=5\implies x-4=10\implies \boxed{x=14} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y +5 }{2}=-1\implies y+5=-2\implies \boxed{y=-7}[/tex]

Answer:

  C.  1/3

Step-by-step explanation:

You want to identify the rational number listed that cannot be a root of the given polynomial.

Possible rational roots will be off the form ...

  ± (divisor of the constant) / (divisor of the leading coefficient)

When the divisors are listed, this is ...

  ±{1, 3, 9}/{1, 2}

This shows you that 3 cannot be the denominator of any possible rational root.

  1/3 is not a possible zero of the function

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Additional comment

The list of possible roots is ±{1/2, 1, 3/2, 3, 9/2, 9}.

As it happens, neither of the two real roots is rational.

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