2. Which of the following methods can't be used to find the zeros of a function?
options:
A. Substitute x = 0 in the function and solve for f(x).
B. Graph the function using a table of values.
C. Factor the function and apply the zero-product property to its factors.
D. Apply the quadratic formula.

Answer:

[tex]t = dn[/tex]

Step-by-step explanation:

Given:

Total Earnings = t dollars

Charges per lawn = d dollars

Number of lawn = n

Required:

Find the equation that describes the above illustration

To get the equation of proportionality of this system; we simply multiply the charges by the numbers of lawn;

i.e.

[tex]Total\ Earnings\ (t) = Charges\ (d) * Number\ (n)[/tex]

This gives:

[tex]t = d * n[/tex]

[tex]t = dn[/tex]

Answer:

D. The equations do not have the same solution because the second eqlition can never be obtained when multiplying the first

equation by any value

Step-by-step explanation:

-21=14 Equ(1)

6.1=-42 Equ(2)

Multiplying the first equation by -3 will give

-63= -42

Which is not equivalent to the second equation

Multiplying the first equation by 3, we have

-63=42

Not equivalent to the second equation

Multiplying both sides of the first equation by -4, we have

84=56

Not equivalent to the second equation

D. The equations do not have the same solution because the second eqlition can never be obtained when multiplying the first

equation by any value

Answer:

The following are the answer to this question:

Step-by-step explanation:

Binomial theorem Expression:

[tex]\bold{(x+y)^n= {^n}C_0x^ny^0+{^n}C_1x^{n-1}y^1+{^n}C_2x^{n-2}y^2+...+{^n}C_{\gamma}x^{n-\gamma}y^\gamma}+...+ {^n}C_nx^0y^n[/tex]Solution:

1)

[tex]\to 2^{10} = (1 + 1)^{10}[/tex]

         [tex]= (1+1)^{10}= {^{10}}C_0\times 1^{10}\times 1^0+{^{10}}C_1\times 1^{9}\times 1^1+{^{10}}C_2\times 1^{8}\times 1^2+ \\ {^{10}}C_3 \times 1^{7}\times 1^3+{^{10}}C_4 \times 1^{6}\times 1^4+ {^{10}}C_5\times 1^{5}\times 1^5 \\+ {^{10}}C_6 \times 1^{4}\times 1^6+....+{^{10}}C_{10}\times 1^{0}\times 1^{10}[/tex]

          [tex]= {^{10}}C_0. 1^{10}. 1^0+{^{10}}C_1.1^{9}. 1^1+{^{10}}C_2.1^{8}.1^2+\\{^{10}}C_3.1^{7}.1^3+{^{10}}C_4. 1^{6}. 1^4+ {^{10}}C_5.1^{5}. 1^5 + {^{10}}C_6 . 1^{4}. 1^6+ \\ {^{10}}C_7 . 1^{3}. 1^7 + {^{10}}C_8 . 1^{2}. 1^8+ {^{10}}C_9 . 1^{1}. 1^9+{^{10}}C_{10}. 1^{0}. 1^{10}\\[/tex]

2)

Simplify:

[tex](1+1)^{10}=[/tex]

[tex]{^{10}}C_0. 1^{10}. 1^0+{^{10}}C_1.1^{9}. 1^1+{^{10}}C_2.1^{8}.1^2+\\{^{10}}C_3.1^{7}.1^3+{^{10}}C_4. 1^{6}. 1^4+ {^{10}}C_5.1^{5}. 1^5 + {^{10}}C_6 . 1^{4}. 1^6+ \\ {^{10}}C_7 . 1^{3}. 1^7 + {^{10}}C_8 . 1^{2}. 1^8+ {^{10}}C_9 . 1^{1}. 1^9+{^{10}}C_{10}. 1^{0}. 1^{10}\\[/tex]

[tex]=1+10+45+120+210+252+210+120+45+10+1\\\\=1024[/tex]

3)

The [tex]r^{th}[/tex] word is the number of variations where a coin is redirected 10 times.

4)

Get the frequency of exactly five heads is: [tex]{^{10}}C_{5}[/tex] = 252

        [tex]=\frac{252}{1024}\\\\=\frac{126}{512}\\\\=\frac{63}{256}\\\\=0.24[/tex]

5)

To Get 5 heads will be:

[tex]={^{10}}C_{5} \times (\frac{1}{2})^{10}\\\\=\frac{{^{10}}C_{5}}{2^{10}}\\\\=0.24[/tex]

Answer:

2 and 6...... im from the future too

Step-by-step explanation:

Answer:

2 and 6

Step-by-step explanation:

Answer:

The distance formula can be derived from the Pythagorean Theorem.

Step-by-step explanation:

The distance formula can be derived from the Pythagorean Theorem.

The distance formula can be derived from the Pythagorean Theorem. Option B is correct.

Distance is defined as the object traveling at a particular speed in time from one point to another. And distance is the measure of length between points.

Here,
The distance formula is given as,

D = √[[x₂ - x₁]² + [y₂- y₁]²],

In the above distance formula,
D = hypotenuse length between the points,
x₂ - x₁ = base length over the x-axis
y₂- y₁ = Perpendicular length over the y-axis.
So, the distance formula equivalent to the Pythagorean theorem

Thus, the distance formula can be derived from the Pythagorean Theorem. Option B is correct.

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Answer:

A) 5x + 2y = 13

B) -9x + 7y = 19 We'll multiply equation A) by -(7/2)

A) -35/2 x -7y = -(91/2) then we'll add equation B)

B) -9x + 7y = 19

-53/2x = -53/2

x = 1

2y = 13 -5

y = 4

Step-by-step explanation:

Answer:

The area of ∆DEF = 4.5in²

Step-by-step explanation:

From the above diagram,

∆BAC ~∆DEF

It is important to note that if two triangles are similar, the ratio of their areas is equal or equivalent to the ratio of the areas of their sides

This means for the above question, that

We have the bigger triangle = ∆BAC has a side of 4 in and Area = 8 in²

The small triangle has a side of 3in

Finding the scale factor k = ratio of the sides of both Triangles

k = 4/3

k² = (4/3)²

k² = 16/9

Hence,

Area of ∆BAC/ Area of ∆DEF = 16/9

8in²/Area of ∆DEF = 16/9

We cross Multiply

8 in² × 9 = Area of ∆DEF × 16

Divide both sides by 16

Area of ∆DEF = 72/16

= 4.5in²

Therefore, the Area of ∆DEF rounded to the nearest tenth = 4.5in²

Answer:

A. The ordered pair (5, 3.5) represents 5 lbs. of strawberries cost $3.50.

B. The cost per pound of strawberries is shown at (1, 0.7).

C. The relationship shown in the graph is a direct variation because as the pounds of strawberries increase, the cost also increases.

Explanation:

A. The coordinate is in (x,y). The x-axis represents the pound of strawberries and the y-axis represents the cost of the strawberries.

B. The cost for one pound of strawberries can be calculated to find the exact value of y (cost) when x is 1. The graph shows 5 lbs. of strawberries cost $3.50 so divide $3.50 by 5 lbs. to find the cost per pound of strawberries. 3.5 ÷ 5 = 0.7. On the graph, the cost for one pound of strawberries is at (1, 0.7)

C. A direct variation in a graph is shown when both x and y increase or decrease together. In this case, as the pounds of strawberries increase, the cost of the strawberries also increases.

Answer: D) ABCD ∼ EFGH

Step-by-step explanation:

From the given picture,

In parallelogram ABCD, ∠A= 80° .

In parallelogram EFGH, ∠E= 100° .

Since the sum of two adjacent angles in a parallelogram is 180°.

So, ∠A + ∠B = 180°

⇒ ∠B = 180° -∠A =  180°- 80° = 100°

So,  ∠B  = 100°

Similarly in parallelogram EFGH, ∠ E= 80° .

Also, the opposite angles of a parallelogram are equal,

∠A =∠C= 80°  and ∠B=∠D=100°

∠E =∠G= 80°  and ∠F=∠H=100°

So, the corresponding angles of both parallelograms are equal.

That means they are similar.

So the required similarity statement : ABCD ∼ EFGH

Hence, the correct option is D.

Answer:

it is not D i got it wrong on the test

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

trust

me

=]

Answer:

45 and 135

Step-by-step explanation:

The sum of any interior angles will be 180 so you divide 180 by 4. And you get 45 then you multiply that by 3 and you get 135

Question:

Select the three expressions that are equivalent to [tex]6^2[/tex]:

a: [tex](\frac{6^9}{6^8})^2[/tex]

b: [tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }[/tex]

c: [tex]\frac{6^4}{6^2}[/tex]

d: [tex]\frac{6^5 * 6^7}{6^{10}}[/tex]

Answer:

a: [tex](\frac{6^9}{6^8})^2[/tex]

c: [tex]\frac{6^4}{6^2}[/tex]

d: [tex]\frac{6^5 * 6^7}{6^{10}}[/tex]

Step-by-step explanation:

Given

[tex]6^2[/tex]:

Required

Find equivalent expressions

To solve this question; we'll simplify options a to do, one after the other

a: [tex](\frac{6^9}{6^8})^2[/tex]

From laws of indices;

[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

This implies that;

[tex](\frac{6^9}{6^8})^2 = (6^{9-8})^2[/tex]

[tex](\frac{6^9}{6^8})^2 = (6^{1})^2[/tex]

From laws of indices;

[tex]{a^m}^n = a^{m*n} = a^{mn}[/tex]

This implies that

[tex](\frac{6^9}{6^8})^2 = (6^{1*2})[/tex]

[tex](\frac{6^9}{6^8})^2 = 6^{2}[/tex]

Hence,  [tex](\frac{6^9}{6^8})^2[/tex] is equivalent to [tex]6^2[/tex]

b. [tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }[/tex]

From laws of indices;

[tex]a^m * a^n = a^{m+n}[/tex]

This implies that

[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = \frac{6^{1+1+1+1+1+1}}{6^{1+1+1}}[/tex]

[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = \frac{6^{6}}{6^{3}}[/tex]

From laws of indices;

[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

This implies that

[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = 6^{6-3}[/tex]

[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = 6^{3}[/tex]

Hence; [tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }[/tex] is not equivalent to [tex]6^2[/tex]

c.  [tex]\frac{6^4}{6^2}[/tex]

From laws of indices;

[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

This implies that

[tex]\frac{6^4}{6^2} = 6^{4-2}[/tex]

[tex]\frac{6^4}{6^2} = 6^{2}[/tex]

Hence, [tex]\frac{6^4}{6^2}[/tex] is equivalent to [tex]6^2[/tex]

d.  [tex]\frac{6^5 * 6^7}{6^{10}}[/tex]

From laws of indices;

[tex]a^m * a^n = a^{m+n}[/tex]

This implies that

[tex]\frac{6^5 * 6^7}{6^{10}} = \frac{6^{5+7}}{6^{10}}[/tex]

From laws of indices;

[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

This implies that

[tex]\frac{6^5 * 6^7}{6^{10}} = 6^{5+7-10}[/tex]

[tex]\frac{6^5 * 6^7}{6^{10}} = 6^{2}[/tex]

Hence, [tex]\frac{6^5 * 6^7}{6^{10}}[/tex] is equivalent to [tex]6^2[/tex]

Answer: w^6 z^4

Step-by-step explanation:

w^6z^4

w^3^2 z^2^2

w^6 z^4

Answer:

[tex]w^6z^4[/tex]

Step-by-step explanation:

[tex]\text{Apply rule: }(a*b)^n=a^nb^n\\\\(w^3z^2)^2=\left(w^3\right)^2\left(z^2\right)^2\\\\\text{Apply rule: }(a^n)^m=a^{nm}\\\\(w^3)^2=w^{3*2}=\boxed{w^6}\\\\w^6(z^2)^2\\\\(z^2)^2=z^{2*2}=z^4\\\\\boxed{w^6z^4}[/tex]

Answer:

The points of the rotated shape are: (4, 1), (5, 3), (4, 4), (2, 1), (1, 3), (2, 4)

Step-by-step explanation:

From the part of the shape we can see and the symmetry, the missing points are:

(-2, -1)

(-1, -3)

(-2, -4)

Rotation 180° about the origin transforms the point (x, y) into (-x, -y). Applying this rule to our figure, we get:

(-4, -1) -> (4, 1)

(-5, -3) -> (5, 3)

(-4, -4) -> (4, 4)

(-2, -1) -> (2, 1)

(-1, -3) -> (1, 3)

(-2, -4) -> (2, 4)

Answer:

1. The y-intercept of the linear function.                 0

2.The y-intercept of the exponential function.       1

3.The number of points of intersection.                 2

4.The quadrant of the solution(s).                            1

Step-by-step explanation:

The given functions are

Exponential function : [tex]y=2^x[/tex]

Linear function : [tex]y=3x[/tex]

Substitute x=0 in the above functions to find the y-intercepts.

[tex]y=2^(0)=1[/tex]

The y-intercept of the exponential function is 1.

[tex]y=3(0)=0[/tex]

The y-intercept of the linear function is 0.

Plot the graph of both functions as shown below.

From the  graph it is clear that both functions intersect each other at 2 points. So, the number of points of intersection is 2.

From the graph it is clear that both intersection points lie in first quadrant. So, the quadrant of the solution(s) is 1.

check the photo and if u feel I made any mistakes pls do let me know

Answer:

A. True

Step-by-step explanation:

The locus of points idea allows you to define objects in terms of points and given distances.

Answer:

True

Step-by-step explanation:

Answer:

x = 18 degrees

Step-by-step explanation:

Use tan to find the value of x

tan x = 22/67.7     Simplify

tan x = 0.3298      Take the negative of tan to find x

tan^-1 x = 18

The required angle of depression of the boat to the shark is 18.96°.

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.

Here,
Applying trig ratios, to determine the angle of depression.
Sin x = 22 / 67.7
x = sin ⁻¹[22/67.7]
x = 18.96°

Thus, the required angle of depression of the boat to the shark is 18.96°.

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Answer:

(3.5, 9)

Step-by-step explanation:

You can quickly find the midpoint by averaging the x and y values separately.

X coordinate: (3+4)÷2=7÷2=3.5

Y coordinate: (7+11)÷2=18÷2=9

The midpoint is then at (3.5,9).

Answer:

Solution,

Midpoint between (X,y) and (3,7) is (4,11)

By using mid point formula:

[tex](4 ,11) = ( \frac{x + 3}{2} ,\frac{y + 7}{2} ) \\ 4 = \frac{x + 3}{2} \\ or \: 4 \times 2 = x + 3(cross \: multiplication) \\ or \: 8 = x + 3 \\ or \: - x = 3 - 8 \\ or \: - x = - 5 \\ x = 5[/tex]

hope this helps...

Good luck on your assignment..

Answer:

£25

Step-by-step explanation:

Total price- £53.55

Pair of trainers cost- £38 before discount

Discount= 15%

Cost of pair of trainers after discount:

Price of the watch after discount:

Price of the watch before discount:

Answer:

A polygon inscribed in a sphere has each vertex of the polygon on the outer figure of the sphere. this is a three dimensional shape, in which all the vertices must lie on the sphere. when they are joined with each other they form a closed 3d geometric shape.

Answer:

x = -1

Step-by-step explanation:

x is the in the left lower quadrant

Answer:A

Step-by-step explanation:

Answer:

option 2 ABab, ABCC wish you luck

Answer:

C- abab

Step-by-step explanation:

Trevor has been asked to analyze the rhyme scheme in Shakespeare’s “Sonnet 18.”

Sometime too hot the eye of heaven shines,

And often is his gold complexion dimm'd,

And every fair from fair sometime declines,

By chance, or nature's changing course untrimm'd:

Which is the correct rhyme scheme for this stanza?

A- aabb

B- abcd

C- abab

D- abcc

Answer:

[tex]x = 6[/tex]

Step-by-step explanation:

[tex] \frac{2}{3} x + 4 = 8 \\ \frac{2x}{3} = 8 - 4 \\ \frac{2x}{3 } = 4 \\ 2x = 4 \times 3 \\ 2x = 12 \\ x= 6[/tex]

Answer:

[tex]x=6[/tex]

Step-by-step explanation:

[tex]2/3x+4=8\\[/tex]

Subtract 4 from both sides

[tex]2/3x=4[/tex]

Multiply both sides by 3

[tex]6/3x=12\\2x=12[/tex]

Divide both sides by 2

[tex]x=6[/tex]

Answer:

Johanna's sister uses 4x the amount of paper that Johanna uses each day.

Step-by-step explanation:

Johanna uses 10 pieces of paper each day. (40 divided by the 4 days = 10)

If Johanna's sister uses twice the amount that Johanna uses in half the days, then she would be using 80 pieces of paper in 2 days. (80 divided by the 2 days = 40) Johanna's sister uses 40 pieces of paper each day.

So now we know that Johanna uses 10 pieces of paper each day, and her sister uses 40 pieces of paper each day.

Now we divide 40 by 10 which gives us 4, to give us our answer. Johanna's sister uses 4x the amount of paper that Johanna uses each day.

Sorry for the later response; hope this helps!

Answer:

13divided by 7

Step-by-step explanation:

[tex]4x + 3x - 4 = 17 \\ 7x - 4 = 17 \\ 7x = 17 - 4 \\ 7x = 13 \\ \frac{7x}{7} = \frac{13}{7 } \\ x = \frac{13}{7} or1 \times \frac{6}{7} [/tex]

The required number is 3 .

It is required to find the number.

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Given:

Let the number be x

According to given question we have,

4x+3x-4=17

Compare the like terms we get,

7x=17+4

7x=21

x=3

The number is 3 .

Therefore, the required number is 3 .

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Answer:

10

Step-by-step explanation:

664.66 is right

Answer:

I think its right. ( 10) (644.66)

Step-by-step explanation:

Answer:

The area is 14 inches squared.

Step-by-step explanation:

To find the area of a trapezoid the equation is...

a+b

------ x h                  (a and b equal the bases)

 2

Seeing as we know all of the basses and heights lets plug it into the equation.

9+5

------- x 2

  2

Well the 2 and the 2 cancel each other out in this scenario so what we would have to do now is ad 9 and 5 which would get us to 14.

Answer:

14in

Step-by-step explanation:

Answer:

A, B, and C

Step-by-step explanation:

By substituting each of the ordered pairs into the equation you can determine that A, B and C all satisfy the equation.

Answer:

1 1/3 meter a minute

Step-by-step explanation:

it pretty simple i just added

Answer:

1 1/3

Step-by-step explanation: