What is the vertex of the graph of this function?
v = - (x + 2)(x+4)

Answers

Answer 1

Answer:

(-3,1)

Step-by-step explanation:

Hope this helps:)

Answer 2

9514 1404 393

Answer:

  (-3 1)

Step-by-step explanation:

The x-intercepts of the function are the values of x that make the factors zero: x = -2, x = -4. The x-coordinate of the vertex is halfway between these values:

  x = (-2 +(-4))/2 = -6/2 = -3

The y-coordinate of the vertex is the function value at that x-coordinate:

  y = -(-3+2)(-3+4) = -(-1)(1) = 1

The coordinates of the vertex of the graph are (-3, 1).

What Is The Vertex Of The Graph Of This Function?v = - (x + 2)(x+4)

Related Questions

Kevin has Oranges and grapefruits in a ratio of 40:18. How many oranges does he have if he has 9 grapefruits?

Answers

Answer:

20 oranges

Step-by-step explanation:

40:18 / 2 = 20:9

Emerson is making costumes for the
school play. She needs 3 1/2 square
yards of fabric to make each costume.
If she uses a total of 46 2/3 square
yards of fabric, how many costumes
does she make?

Answers

9514 1404 393

Answer:

  13 costumes

Step-by-step explanation:

The amount of fabric used is the product of the amount per costume and the number of costumes.

  A = na . . . . . A = total area; n = number of costumes; 'a' = area per costume

  46 2/3 = n(3 1/2)

  n = (46 2/3)/(3 1/2) = (140/3)/(7/2) = (140/3)(2/7) = 40/3 = 13 1/3

Apparently there is some waste, as Emerson used more fabric than necessary to make 13 costumes.

Maria is 62 inches tall. If her sister Eva was 1.5 inches taller, she would be exactly half Maria's height. How tall is Eva? Enter your answer as a decimal in the box.

Answers

Answer:

Step-by-step explanation:

Let Eva's height be x

62* 0.5 = x + 1.5

31 = x + 1.5                   Subtract 1.5 from both sides.

31 - 1.5 = x

x = 29.5

Eva is 29.5 inches tall.

Answer:

29.5

Step-by-step explanation: I took the test

A couple deposits $21,000 $ ⁢ 21,000 into an account earning 5% 5 % annual interest for 30 30 years. Calculate the future value of the investment if the interest is compounded daily. Round your answer to the nearest cent.

Answers

Answer:

$94105.81

Step-by-step explanation:

[tex]21000( ({1 + .0512675})^{30} - 1) \\ = 73105.81 \\ 73105.81 + 21000 = 94105.81[/tex]

Future value of the investment if the interest is compounded daily is $94,105.80.

What is Compound Interest?

Compound interest is defined as the amount of interest which has been calculated on the principal amount as well as the amount accumulated over the previous period is also included.

Given that,

Principal amount, P = $21,000

Rate of interest, r = 5% = 5/100 = 0.05

Time, t = 30 years

The final amount in a compound interest is,

A = P (1 + r/n)^(nt), where n is the number of times compounding is done in a year.

Here, n = 365

A = 21000 (1 + 0.05/365)^(365 × 30)

  = 94,105.802

  ≈ 94,105.80

Hence the final amount is $94,105.80.

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someone please just help me i cant fail this please

Answers

AAAAAAAAAaaaaaaaaAAAAAAAAAAAA

(d^8)^-2. Anyone help pls?

Answers

Answer:

1/d^16

Step-by-step explanation:

Hope this helped!

Can I get brainlist? If not that's okay!

Joe bought a box of laundry detergent that contains 195 scoops each load of laundry uses 2 1/2 scoops the box of detergent was $24.96 how much is he paying for each load that was wash

Answers

Answer:

a)   Number of laundry he can do with this box  = 78 laundries.

b)   Price he paying for each load =  0.256 $

Step-by-step explanation:

Total scoop contained in detergent box = 195 scoops.

 Scoops used by each load of laundry = 2 1/2 = 2 * 2 + 1/2 = 5/2 scoops = 2.5 scoops

 Number of laundry he can do with this box = 195/2.5 = 78 laundries.

Price of detergent box = 19.99 $

Price he paying for each load = Total price/ Number of loads

 = 19.99/78

= 0.256 $

Write an equation for this linear
function.
f(3) = 7 and f(7) = 3

Answers

f(x)=-x+10

well looking at the difference on the x and y coordinates, it is a difference of 4 and-4, making the slope -1. because it is next to x on the function notation you can just say -x, then insert the y and x coordinates to solve for y intercept

In an experiment, a fair four-sided die (its faces are labeled 0, 1, 2, 3) is thrown once. The outcome of the throw determines how many times a fair coin is to be flipped: if N is the number that results from throwing the die, we flip the coin N times. Let K be the total number of heads resulting from the coin flips.

Answers

Answer:

Step-by-step explanation:

If

a

=

1

,

what is the value of the expression

3

a

(

8

2

a

)

?

7

− − 7

2

- 2

10

10

13

Evaluating an algebraic expression is the process of determining the value of an expression when a specified integer is used to replace a variable.

Explain about the expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases. A phrase in language may contain an action on its own, but it does not constitute a whole sentence.

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.

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If p and q vary inversely and p is 4 when q is 12, determine q when p is equal to 8.

Answers

Answer:

24

Step-by-step explanation:

[tex]p = 8 \\ q = x \\ \\ q(8) = p(x) \\ \\ 12(8) = 4(x) \\ 96 = 4x \\ \frac{96}{4} = \frac{4x}{4 } \\ x = \frac{96}{4} \\ x = 24[/tex]

–5(–2) = eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

10

Step-by-step explanation:

-5 times -2= 10

What is the name for two angles whose measures have the same sum as angle J and angle L?

Answers

Step-by-step explanation:

it is Supplementary Angles

Which expression is equivalent to -16 - 9?

Answers

Answer:

Option C is the answer.

Step-by-step explanation:

Let's first simplify the given problem.

-16 - 9

=> -25.

Now, let's see if Option C equals -25.

-16 + (-9)

=> -16 - 9

=> -25.

Therefore, Option C is correct.

[tex]Hiya![/tex]

Sokka is here to help!!

Here's a explanation!

[tex]-16-9[/tex]

Subtract:

[tex]-16-9=-25[/tex]

ANSWER:[tex]=-25[/tex]The answer choice is C.

Hopefully, this helps you!!

[tex]Sokka[/tex]

Find the inverse of the function f(x) = 2x^3 - 5


This is what I have so far
F(x) = 2x^3 - 5
Y = 2x^3 - 5
X = 2y^3 - 5
+5 +5
x + 5 = 2y^3

Answers

9514 1404 393

Answer:

  f^-1(x) = ∛((x +5)/2)

Step-by-step explanation:

Continue to solve for y.

  [tex]x +5=2y^3\qquad\text{so far so good}\\\\\dfrac{x+5}{2}=y^3\qquad\text{divide by 2}\\\\\sqrt[3]{\dfrac{x+5}{2}}=y\qquad\text{take the cube root}\\\\\boxed{f^{-1}(x)=\sqrt[3]{\dfrac{x+5}{2}}}\qquad\text{expressed in functional form}[/tex]

If you want to "rationalize the denominator", you can multiply both numerator and denominator by 4 inside the radical. This will simplify to ...

  [tex]\displaystyle\boxed{f^{-1}(x)=\frac{1}{2}\sqrt[3]{4x+20}}[/tex]

y be f(x)

[tex]\\ \rm\Rrightarrow y=2x^3-5[/tex]

Interchange y and x

[tex]\\ \rm\Rrightarrow x=2y^3-5[/tex]

[tex]\\ \rm\Rrightarrow 2y^3=x+5[/tex]

Isolate y

[tex]\\ \rm\Rrightarrow y^3=\dfrac{x+5}{2}[/tex]

[tex]\\ \rm\Rrightarrow y=\sqrt[3]{\dfrac{x+5}{2}}[/tex]

This is the inverse

[tex]\\ \rm\Rrightarrow f^{-1}(x)=\sqrt[3]{\dfrac{x+5}{2}}[/tex]

Please help me on part b

Answers

Answer:

0.859493

0.859

Hope This Helps!!!

Clifton spent $14.30 to buy his class 26 ice
cream sandwiches. How much did each ice
cream sandwich cost?

Answers

Answer:

$0.55

Step-by-step explanation:

All you have to do is divide $14.30 by 26 and that equals 0.55 so he spent 55 cents on each sandwich

.55 Cents per ice cream sandwich.

In which function does an increase of 1 in quantity x correspond to an increase of 8 in
quantity y?

Answers

Answer:

C. y = 8x

Step-by-step explanation:

When x = 1

y = 8(1) = 8

when x = 2

y = 8(2) = 16

x increased by 1

y increased by 8

What is the value of n in the equation?

7n + 2 = 5 × 6

A.25
B.4
C.6
D.28

Answers

Answer:

B. 4

Step-by-step explanation:

7n+2 = 5×6

7n+2 = 30

7n = 30-2

7n = 28

7n ÷ 7 = 28 ÷ 7

n = 4

The answer is B, ( I think it’s B I’m not completely shure )

Evaluate (3x-2)/6 when x = 5

Answers

Answer:

13/6

Step-by-step explanation:

Substitue in 5 for x in 3x.

3x(5)= 15

15-2=13

13/6 or 2.16

what is x and y in the equation 9x + 20y > 120

Answers

Answer:

x= 120-20y/9

Step-by-step explantion:

Select all possible solutions for 2x +7
[tex] 2x + 7\leqslant 3 \times - 5[/tex]

Answers

Answer:

Select all options of x greater than or equal to 12

Step-by-step explanation:

2x + 7 <= 3x - 5

7 + 5 <= 3x - 2x

12 <= x

x >= 12

Can someone please explain how to do this.

Answers

Answer: 9/30

Step-by-step explanation:

The cost, C, in dollars to produce 3 pounds of chocolate candy
is represented by the linear function C (x) = 3.5x+ 800.
Find the number of pounds produced if the cost is $842.00.
Round to the nearest tenth of a pound.
469.1
h
O 3,747.0
38.5
12.0
o 1.2

Answers

Answer:

  (c) 12 pounds

Step-by-step explanation:

The cost of production is given as ...

  3.5x +800 = 842

  3.5x = 42 . . . . . . . . subtract 800

  x = 12 . . . . . . . . . . . divide by 3.5

The number of pounds produced is 12.

Frank’s mother gave him 25 to save. If he already had 38 saved, how much money does frank have save now

Answers

Answer:

Frank now has $63 saved.

Step-by-step explanation:

25 + 38 = 63

I hope this answered your question properly!

Amir got 35% and fail by 20 marks and naveed got 45% marks and sucured 20 more marks than passing marks .what is the % of pass the exmanination?

Answers

Answer:

40%

Step-by-step explanation:

middle of 35 and 45

   35                 40      45

fail by 20      pass  extra 20

and the total marks are

400

that means

every 1% is equivalent to 4 marks

Adam ran 3 miles in 30 minutes. If he continues at a
constant rate, how many miles can he run in 2
hours?

Answers

12 miles

30 min = 3 miles
60 min = 6 miles
90 min = 9 miles
120 min = 12 miles

Prius bought these items at the grocery store. Find each unit price.

A. 12 eggs for $3 how much is the cost per egg ?

Answers

Answer:

your answer would be 0.25 cents per egg

Step-by-step explanation:

NOV 18, 8:23:07 AM
In a newspaper, it was reported that the number of yearly robberies in Springfield in
2011 was 75, and then went down by 4% in 2012. How many robberies were there in
Springfield in 2012?

Answers

72 is answer

as it got down by 4% every year

in 2011 it was 75 means in the next year it will be 75-(75*4/100) that is equal to 72

The robbery rate in year 2012 was 72.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100.

Given that in a city that robbery rate was 75 in 2011 was 75, and then went down by 4% in 2012.

We need to find the robbery rate of the city in 2012.

So, here went down means it decreased by 4%,

That mean, now the robbery rate will be (100-4) = 96% of 75.

Therefore, the robbery rate in year 2012 was =

0.96 x 75 = 72

Hence the robbery rate in year 2012 was 72.

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PLEASE HELP ME!
The​ eighth-grade class at a grade school has 14 girls and 9 boys. How many different​ boy-girl dates can be​ arranged?

Answers

Answer:

126

Step-by-step explanation:

14 times 9

If there are only 9 boys, then there can only be 9 girl-boy dates arranged. I’m not 100% sure, but it makes sense. Then there will be 5 girls left over.

95-a(b+c) when a=9, b=3, c =7.4

Answers

Answer:

95-9 (3+7)

95-9 (10)

86 (10)

= 8600

Step-by-step explanation:

I hope this was helpful!

God bless you!

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