4.
Which of the following is the minimum value of the equation y= 1/3x^2 + 2x + 5?
A. 1/3
B. -3
C. 2
D. 5

Answers

Answer 1

Answer:

C. 2

Step-by-step explanation:

Use the formula  

x  =  − b /2 a

to find the maximum and minimum.

( − 3 , 2 )

4. Which Of The Following Is The Minimum Value Of The Equation Y= 1/3x^2 + 2x + 5?A. 1/3B. -3C. 2D. 5

Related Questions

what is the solution to the equation 1/2a=7

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\mathsf{\dfrac{1}{2}a = 7}}\\\\\large\text{MULTIPLY 2 to BOTH SIDES}\\\\\large\boxed{\mathsf{2\times\dfrac{1}{2}a= 2\times7}}\\\\\large\text{CANCEL out: }\rm{2\times\dfrac{1}{2}}\large\text{ because it gives you 1.}\\\large\text{KEEP: }\rm{2\times7}\large\text{ because it helps you get your a-value}\\\\\large\boxed{\mathsf{a = 2\times7}}\\\\\\\large\text{SIMPLIFY IT!}\\\\\large\boxed{\mathsf{a = 14}}\\\\\\\huge\boxed{\text{Therefore, your answer is: \boxed{\mathsf{a = 14}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

use the long division method to divide 120÷24​

Answers

Step-by-step explanation:

120÷24

    

    0   24⟌120

    0   24⟌120   0  

    0   24⟌120   -0      1

    00  24⟌120   -0      12 

   0   24⟌120   -0      12 

    00  24⟌120   -0      12    - 0     12 

   00  24⟌120   -0      12    - 0     120

I’m not sure since you can only come up with one digit

test again Add.

3/8+3/8

Answers

Answer:

3/4 or 0.75

Step-by-step explanation:

[tex] \frac{3 }{8} + \frac{3}{8} [/tex]

transform the equation

[tex] \frac{3 + 3}{8} [/tex]

calculate

[tex] \frac{6}{8} [/tex]

simplify

[tex] \frac{3}{4} [/tex]

or 0.75

How will knowing the value for the best measure of center for the heights of the adult males help Nancy determine whether she can send the same distributions of sizes to each country for the men’s clothing line or will need to adjust the distributions she sends?

Answers

The best measure of center for the heights help Nancy to determine the sizes of cloth for countries, as it does not include outliers

What is mean of the data set?

The mean of the data is the average value of the given data. The mean of the data is the ratio of the sum of all the values of data to the total number of values of data.

The mean of the data is the center tendency and includes the outlines.

The value for the best measure of center for the heights of the adult males help can help Nancy in two ways:

She can send the same distributions of sizes to each country for the men’s clothing line She needs to adjust the distributions she sends.

Here, when Nancy uses the mean of the data of height, she also measures the outliers. This affect the calculation of her. With the best measure of center, help her to deter line the size.

Thus, the best measure of center for the heights help Nancy to determine the sizes of cloth for countries, as it does not include outliers.

Learn more about the mean here;

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Sue has 18 3/4 cups of sugar Each pie calls for 1 1/2 cup of sugar Sue wants to break 12 pies Does she have enough sugar How much will be left over or how much more does she need

Answers

Answer:

she will have 3/4 cups left over

Step-by-step explanation:

1 1/2 times 12 is 18

What is the volume of a sphere with a radius of 4.4 cm, rounded to the nearest tenth
a
of a cubic centimeter?
O 223.8
0 294.4
O. 299.1
O 356.8

Answers

Answer:

V = 356.8 cubic centimeter

Step-by-step explanation:

[tex]V = \frac{4}{3} \pi r^{3}[/tex]

[tex]\pi V = \frac{4}{3} \pi (4.4)^{3}[/tex]

[tex]V = \frac{4}{3}\pi (85.184)[/tex]

V = 356.8179048

V = 356.8

Algebraic Proof

Match the justification to each step of the deductive reasoning about this picture. Please Help!

Answers

The following are deductive reasoning for each statement in the algebraic proof given:

1. CD + DE = CE (Segment Addition Postulate)

2. 8 + (3x + 7) = 6x (Substitution)

3. 3x + 15 = 6x (Combining like terms)

4. 15 = 3x (Subtraction Property of Equality)

5. x = 5 (Division Property of Equality)

6. CE = 6(5) (Substitution)

Recall:

The Segment Addition Postulate states that when a point lies between two endpoints on a line segment, the length of the larger segment equals the sum of the lengths of the two smaller segments formed.

Thus, the following are deductive reasoning for each statement in the algebraic proof given:

1. CD + DE = CE (Segment Addition Postulate)

2. 8 + (3x + 7) = 6x (Substitution)

Rationale: Plug in the values of CD, DE and CE

3. 3x + 15 = 6x (Combining like terms)

Rationale: Add 8 and 7 together

4. 15 = 3x (Subtraction Property of Equality)

Rationale: Subtract 3x from each side of the equation.

5. x = 5 (Division Property of Equality)

Rationale: Divide each side of the equation by 3).

6. CE = 6(5) (Substitution)

Rationale: Plugging in the value of x into "6x"

Learn more about Segment Addition Postulate on:

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I need help with this question;(

Answers

Answer:

J

Step-by-step explanation:

50 points and brainliest Identify the pair of points that can represent an increasing function that has a greater rate of change than that of the function .

Answers

There are total three pairs

(-6,-3)->(3,7)(-5,-5)->(5,9)(-3,-3)->(6,7)

Look at the co-ordinates

The x co-ordinates increase with respect to y co-ordinates

Answer:

(-6,-3)->(3,7)

(-5,-5)->(5,9)

(-3,-3)->(6,7)

Step-by-step explanation:

who can solve this equation and get the right answer
solve x-2y=12 if the domain is {-3,-1,0,2,5}

Answers

Answer:

x-2y=12

Solve for y

x-2y=12

Subtract x on both sides

-2y=-x + 12

Divide both sides by -2

y=\frac{1}{2}x - 6y=21x−6

the domain is {-3,-1,0,2,5}

Domain are the set of x values

Range are the set of y values

We are given with domain x, we need to find out y values using the equation y=\frac{1}{2}x - 6y=21x−6

when x=-3 , y=\frac{1}{2}(-3)-6=\frac{-15}{2}=-7.5y=21(−3)−6=2−15=−7.5

when x=-1 , y=\frac{1}{2}(-1)-6=\frac{-13}{2}=-6.5y=21(−1)−6=2−13=−6.5

when x=0 , y=\frac{1}{2}(0)-6=-6y=21(0)−6=−6

when x=2 , y=\frac{1}{2}(2)-6=-5y=21(2)−6=−5

when x=5 , y=\frac{1}{2}(5)-6=\frac{-7}{2}=-3.5y=21(5)−6=2−7=−3.5

Range is {-7.5, -6.5, -6 , -5, -3.5}

Step-by-step explanation:

solve the equation ? 1 equation with 2 variables ? that is not possible.

what you mean is probably find the range.

x - 2y = 12

-2y = -x + 12

2y = x - 12

y = (x - 12)/2 = (1/2)x - 6

x = -3

y = 1/2 × -3 - 6 = -1.5 - 6 = -7.5

x = -1

y = 1/2 × -1 - 6 = -0.5 - 6 = -6.5

x = 0

y = 1/2 × 0 - 6 = -6

x = 2

y = 1/2 × 2 - 6 = 1 - 6 = -5

x = 5

y = 1/2 × 5 - 6 = 2.5 - 6 = -3.5

so, the corresponding range of the function is

{-7.5, -6.5, -6, -5, -3.5}

1 is the additive identity of any real number True or False​

Answers

Answer:

False

Step-by-step explanation:

It is False. 1 is the identity element for multiplication, because if you multiply any number by 1, the number doesn’t change. Identity elements are specific to each operation (addition, multiplication, etc.). So while 1 is the identity element for multiplication, it is NOT the identity element for addition.

100 if u get this right ty have a nice day!

Answers

Answer:

9

Step-by-step explanation:

2+4 over 2

x 3

= 9

15 points. PLZ HELP!!! Slope intercept Form. Will mark Brainliest!!1

Answers

Y=16x
The b is 0 so no need to put it in the equation.
The slope is 16/1 which is 16
y= 4x , y intercept is 0 because it crosses the y-axis at 0,0

Order the rational numbers from least to greatest
-45/7
9/7
0/7
-4/7
6/7
-7/7

Answers

Answer:

-45/7

-7/7

-4/7

0/7

6/7

9/7

-45/7
-7/7
-4/7
0/7
6/7
9/7
hope it helps

the triangles are similar, Write a similarity statement for the triangles “PLZ HELP”

Answers

Answer:

Option 3 or C

Triangle NPM ~ Triangle NQR

Step-by-step explanation:

1/2÷1/2÷1/2÷1/2÷1/2÷1/2÷1/2 solve

Answers

Answer:

7

Step-by-step explanation:

I used keep change flip, and repeated the process and got the answer.

Hope this helps! :)

Answer:

1/72

Step-by-step explanation:

1/2÷1/2÷1/2÷1/2÷1/2÷1/2÷1/2

1/2 * 1/2 * 1/2 *1/2 *1/2* 1/2 * 2/1

1/72

will mark brainlist if right no links
Four expressions are shown below

I. 2(2x2−2x−60)
II. 4(x2−x−30)
III. 2(x+6)(x−5)
IV. 4x(x−1)−120
The expression 4x2−4x−120is equivalent to


I and II, only
I and II, only

II and IV, only
II and IV, only

I, II, and IV
I, II, and IV

II, III, and IV

Answers

Answer:

1, 2, and 4

Step-by-step explanation:

distribution

Where do we use order of operations in real life.

Answers

Answer:

In math, order of operations helps you find the correct value for an expression. Order of operations matters in daily life.

Step-by-step explanation:

For example

Engineering

Cooking

Chemistry

Are some explanations of where you may need this skill in real life.

Andrew is starting his own lawn mowing business. He will charge $13.00 per hour. If Andrew works 67.4 hours per week, how much money will he earn each week?

Answers

By computing the product between his hourly wage and the number of hours he works per week, we will see that his weekly pay is $876.20

We know that Andrew charges $13.00 per hour, and we know that, in a week, he works for a total of 67.4 hours.

Then the money that he earns each week is just the product between the amount he wins per hour and the number of hours that he works each week.

This gives:

($13.00 h^-1)*(67.4 h) = $876.20

This means that Andrew wins $876.20 per week with this job.

If you want to learn more, you can read:

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What is an equation of the line that passes through the points (6,-3) and (-6,-5)

Answers

Answer:

y = 6x - 4

Step-by-step explanation:

I drew a graph slope formula is (y2 - y1)/(x2 - x1) and if the line passes through a point that is not zero (in this case it does) we add or subtract that as the y-intercept. we recently passed this so I know it.

Slope-intercept form: (y = mx + b) y = 6x - 4

Standard form: (Ax + By = C) -6x + y = -4

Point-slope form: (y - y1 = m (x - x1)) (let's use the point (6, -3)) y + 3 = 6 (x - 6)

Tell me if I'm wrong :)

Answer:

Step-by-step explanation:

Bu using the formula of Two-Points form:

[tex]\frac{y-y_{1} }{y_{2}-y_{1} } =\frac{x-x_{1} }{x_{2}-x_{1} }[/tex]

Substitute the points in the above equation:

y+3/-5+3=x-6/-6-6

y+3/-2=x-6/-12

-12(y+3)=-2(x-6)

-12y-24=-2x+6

2x-12y-24-6=0

2x-12y-30=0

Or

x-6y-15=0

If you need to ask any question,let me know.

im stuck on this problem can someone help me? (see photo) ​

Answers

Answer:

I'm thinking the anwer is B

Step-by-step explanation:

I remember doing this problem before :)

How to solve absolute value inequalities khan academy.

Answers

Answer:

Step-by-step explanation:

I cant even see anything can you reupload your answer, please?

I just woke up i need help ;-;

Answers

Answer:

i think that the correct answer is 7/12

Help pls dont send links by

Answers

Answer:

draw a sketch graph for values x and y. but just make sure they r the same e.g if x is 2 y should also be 2. plot points wen y is equal to x. (3,3) (4,4) (5,5). a straight line

for part y=x +2. make any number x e.g let x be 3. therefore y=2+3. y=5. so the point is (3,5). continue with this procedure with about three points then plot on a graph. and it is meant to be a straight line. A TABLE CAN ALSO WORK BUT SHOW STEPS ON HOW YOU GOT THE POINTS

Answer:

I think it's 3.

Step-by-step explanation:

Sorry if it's wrong.

helppp,no links or spam

Answers

Answer: 6.45 x 10^10

Step-by-step explanation:

Because 10^5 and 10^4 both have 10, we can add the exponents to get 10^9.

Multiplying 7.5 and 8.6 gets you

7.5 * 8.6 = 64.5

We can move the decimal up a place to get 6.45 and add another power to 10^9 to get 10^10

Your final answer should be 6.45 x 10^10

Answer:

C 6.45x 10 to the power of 10

Step-by-step explanation:

10 to the power of 5 is 100,000. 7.5x100,000 is 750,000.

10 to the power of 4 is 10,000.

10,000x8.6 is 86k

now we do 750,000x86,000 which is 64,500,000,000

10 to the power of 10 is 10 billion times 6.45 is 64,500,000,000

1. What is the range of the function y = 2x-3 when the
domain is {-1, 0,5}?

Answers

y=2x-3

2x-3

2(-1)-3=-5

HELP ASAPPPPPPPPPPP

A: 6 units
B: 4 units
C: 3 units
D: 2 units

Answers

Answer: 4

Step-by-step explanation:

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8x + 6y = -54

Answers

Answer:

y = - 4/3x - 9

Step-by-step explanation:

Answer:

[tex]y = -\frac{4}{3}x - 9[/tex]

Step-by-step explanation:

The standard form of linear equation is: Ax + By = C, where A, B, and C are integers; A and B ≠ 0, and A is a non-negative integer.

Given the linear equation in standard form, 8x + 6y = -54, we can transform this equation into its slope-intercept form, y = mx + b.

First, subtract 8x from both sides:

8x + 6y = - 54

8x - 8x + 6y = - 8x - 54

6y = -8x  - 54

Divide both sides by 6 to isolate y:

[tex]\frac{6y}{6} = \frac{-8x - 54}{6}[/tex]

[tex]y = -\frac{4}{3}x - 9[/tex] ⇒ This is the slope-intercept form where the slope, m = [tex]- \frac{4}{3}[/tex], and the y-intercept, b = -9.

Ron is 25 years old and is retiring at the age of 65. When he retires, he will need a monthly income of $4,123 for 20 years. If Ron contributes 10% of his monthly income to a 401(k) paying 5.5% compounded monthly, will he reach his goal for retirement given that his monthly income is 3,142.23? If he does not make his goal then state by what amount he will need to supplement his income. Round all answers to the nearest cent.a.Ron will meet his monthly goal of exactly $4,123 for retirement.b.Ron will meet his monthly goal of $4,123 for retirement with an excess of $125.34.c.Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.d.Ron will not make his monthly goal of $4,123 and will need $450.61 to supplement his monthly income when he retires.

Answers

Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.

What is Compound interest?

Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.

Given monthly income of Ron is $3,142.23

Ron is 25 years old and is retiring at the age of 65. so he has 40 years to contribute.

Total amount he contribute in 40 years paying 5.5% compounded monthly is given by

interest rate(r) = 0.055/12

time period = 40 years = 480 months

Principal amount = $314.223

Future value = [tex]P(\frac{(1+r)^{n}-1 }{r} )[/tex]

Substitute, we get,

= 3142.23 [tex].10(\frac{(1+\frac{0.055)^{12.40}-1) }{12} }{\frac{0.055}{12} }[/tex]

Thus, future value is $547074.681009.

After retirement his monthly income when he has $547074.681009 amount.

P = (A.i/2)/(1-(1+i/12)⁻ⁿ)

Putting values, we get,

P = (547074.68×0.55/12)/1-(1+0.055/12)⁻²⁴⁰

P = $3763.25

He will receive a monthly income of $3763.25.

But  given he will need a monthly income of $4,123 for 20 years, which is not met by Ron.

So, the amount he needs to supplement his monthly income when he retires by (4123-3763.25)= $359.74

Hence, Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.

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Find the slope of each line of the graphs to the right. Which graph has the greater​ slope? Use pencil and paper. Explain how you know which graph has the greater slope without doing any calculations.

Answers

Answer:

Line 2

Step-by-step explanation:

line one's slope is one and line 2 is 3

Answer:

Line 2/Depending on the steepness of the line and which way it faces, we can easily determine which line has a larger slope - Any line that goes left to right is negative, and the steeper a line is, the more the farther negative/positive slope it has.

Step-by-step explanation:

Depending on the steepness of the line and which way it faces, we can easily determine which line has a larger slope - Any line that goes left to right is negative, and the steeper a line is, the more the farther negative/positive slope it has. The slope of line one is determined from rise over run. When we take the 2 points marked, we can count rise (4) and run (4), so we have 4/4, which is one. For line 2, we can do the same and get 3. Therefore, Line 2 has a greater slope

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