Tom started an entertainment company. The net value of the company (in thousands of dollars) ttt months after its creation is modeled by v(t)=4t^2-24t-28v(t)=4t 2 −24t−28v, left parenthesis, t, right parenthesis, equals, 4, t, squared, minus, 24, t, minus, 28 Tom wants to know when his company will be at its lowest net value. 1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the equation.

Answers

Answer 1

Answer:

[tex]v(t) = 4(t -7)(t +1)[/tex]

Step-by-step explanation:

Given

[tex]v(t) = 4t^2 - 24t - 28[/tex]

Required

Rewrite in a different form

To write in a factored form, we have:

[tex]v(t) = 4t^2 - 24t - 28[/tex]

Expand

[tex]v(t) = 4t^2 +4t- 28t - 28[/tex]

Factorize

[tex]v(t) = 4t(t +1)- 28(t +1)[/tex]

Factor out t + 1

[tex]v(t) = (4t -28)(t +1)[/tex]

Factorize 4t - 28

[tex]v(t) = 4(t -7)(t +1)[/tex]


Related Questions

Stacey earns $15 each week plus $.50 for each customer on her paper route.she wants to earn at least $25 each week. What equation can she use to find x, the number of customers she needs to make exactly $25?

Answers

Answer:

15 + .5x = 25

Step-by-step explanation:

.5x = 10

x = 20

Draw a triangle of sides 6cm,5cm,4cm.and draw an isosceles triangle of the same area

Answers

Answer:

I think not possible to do

At a museum cafe you can get a pre-made boxed lunch with a sandwich, fruit, and drink for only . The sandwiches are made with either turkey or ham. The fruit is either an apple or an orange. The drink is either bottled water or juice. The number of boxes they make for every possible combination is the same. If you randomly choose one of the boxed lunches without knowing the contents, what is the probability you will get a turkey sandwich and a bottle of water in your box?

Answers

Answer:

1/8 or 0.125

Step-by-step explanation:

So, I started solving this problem by writing all the possible options, then pairing them each up with a fruit and drink..

...But when I read the question again, I noticed I forgot to leave out the fruit, as this question states that you're trying to retrieve "a turkey sandwich and a bottle of water.."

Well, oof.

Despite that, I'm still giving this answer as if it never left out the fruit. So, let's see what we need to do.

To find all the possible lunch options, I started out by writing down one of our meats, Turkey. As per requested, I made every possible turkey combination that included a fruit and drink, which gave me this:

Turkey, apple and waterTurkey, orange and waterTurkey, orange and juiceTurkey, apple and juice

Same for the ham:

Ham, apple and waterHam, apple and juiceHam, orange and juiceHam, orange and water

Putting these together, this gives up 8 different lunchbox combinations. If we're trying to get one and we randomly select it, then we have a 1/8 chance of grabbing the turkey sandwich and a bottle of water....

..and a fruit.

Hope this helped!

If you need me to show my work, just comment me and I will attach a screenshot!

Source: N/A

What is the solution to the system of equation? Write the x-value or x-coordinate.

7x+2y=24
8x+2y=30

What is the solution to the system of equation in number 1? Write the y-value or the y- coordinate.

Answers

Answer:

X = 6, y=-9

Step-by-step explanation:

7x + 2y =24 equation 1

8x + 2y=30 equation 2

-1(7x + 2y)=-1(24) multiply equation 1 by -1 to eliminate y

-7x-2y=-24 equation 1 multiplied by -1

8x+2y=30 equation 2

x+0=6 add above 2 equations

x=6

solve for y

7x + 2y=24

7(6) + 2y=24

42 + 2y =24

2y=-18

y=-9

check answers

8x + 2y=30

8(6) + 2(-9)=30

48-18=30

30=30

7x + 2y = 24

7(6)+2(-9)=24

42-18=24

24=24

y = 5х + 9
у = 3х - 2
how many solutions does this equation have ?

Answers

Answer:

One

Step-by-step explanation:

THe two equations have different slopes so they will intersect at one point.

Mrs. James is making snow cone cups using a special-coated paper to sell at a school
fundraiser. The snow cone cups have a diameter of 4 inches across the widest part of the
snow cone and are 5 inches tall.
What value most closely represents the amount of coated paper in square inches that Mrs.
James will need to make 150 snow cone cups?

Answers

Answer:

6957  inches squared

Step-by-step explanation:

surface area of a cone  = πr × (r + √[h² + r²])

h = height

r = radius = 4/2 = 2 inches

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

(3.14 x 2) x (2 + √5² + 2²) = 6.28  x 7.39 = 46.38 inches squared

the amount of coated paper needed for 1 cup is 46.38 inches squared

Amount needed for 150 cups = 46.38 x 150 = 6957

x 150

area of isosces triangle formula

Answers

Answer:

area = height x Base/2

Step-by-step explanation:

Find the simple interest earned on $1500 at 7% p.a. for 5 years.

Answers

Answer:

simple interest = $525

total amount = $ 2025

Rezolvați în mulțimea numerelor reale ecuația:

x+15−2x−12=x10

DAU COROANA!

Answers

-x10−x+3=0

x≈−1.1530188,1.06806865

A rectangular box has a base measuring a by a meters and height of b meters.
Which of the following represents the surface area of the box?

Answers

Answer:

2a(a+2b) square metres

Step-by-step explanation:

surface area of a box = 2(lw+wh+lh)

l is the length = a metres

w is the width = a mtres

h is the height = b metres

Substitute into the formula

surface area of a box = 2(a*a+ab+ab)

surface area of a box = 2(a² + 2ab)

surface area of a box = 2a(a+2b) square metres

This give sthe surface area of the box

Solve equation
0=-2x+4

Answers

Answer:

x=2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

➜-2x+4=0

➜-2x=-4

➜2x=4

➜x=4/2

➜x=2

What is the radius of a sphere with a volume of 90581 In3, to the nearest tenth of an
inch?

Answers

Answer:

27.9

Step-by-step explanation:

Solve for v.

–9,45 − 6,1v = –2,8v + 13,98

Answers

Answer:

V would equal -7.1.

Step-by-step explanation:

It appears you have set the decimal points as commas. Let's remove that and replace it with decimal points. (AkA ".")

First, we move every term with "V" in this problem to the left.

-9.45 - 3.3v = 13.98

Next, we add -9.45 to 13.98 which equals 23.43.

We then make 3.3v negative.

-3.3v = 23.43

We then divide 23.43 and 3.3v by 3.3.

We cancel out 3.3v to leave 23.43/3.3.

We can now divide 23.43 by 3.3 to get -7.1.

V = -7.1

Answer:

V would equal -7.1.

Step-by-step explanation:

Please help :( ill give brainlest

Answers

Answer:

I think for this one it is D.

Step-by-step explanation:

multiply 3x3yand 4x3
Here,​

Answers

Answer:

21

Step-by-step explanation:

please answer thissssssssssssssssssssssss

Answers

Answer:

C

Step-by-step explanation:

SA= 2lw+2lh+2wh

Answer:b

Step-by-step explanation:

100 points and its ez just in class and need help

Answers

Answer:

Slope: 3, Y-intercept: 8

Step-by-step explanation:

=> Slope: Change in y / Change in x

Change in y = +6

Change in x = +2

Slope = 6 / 2

Slope = 3

=> A value of y in the data set where x = 0

Y-intercept: 8

Hope this helps!

Answer:

you can mark jadedmulan as brainliest.  

1. Find the area of parallelogram ABCD.

Round to the nearest tenth.

A 55.4 m2

C 69.3 m2

B 60 m2

D 80 m2

2. The area of the parallelogram DEFG is 143 square units.

Find the height. Round to the nearest tenth if necessary.

Fll units

H 22 units

G 14.3 units

J 44 units

3. The base of a triangle is three times its height.

If the area of a triangle is 54 square inches, find its height.

A 18 in.

C3 in.

B 6 in.

DI in.

4. Find the area of quadrilateral PQRS.

F 34.1 units

G 65 units?

H 130 units?

J 360 units

Answers

Answer:

1: C =69.3 m2

2: F = ll units

3. C:  3 in.

4. G =65 units

Step-by-step explanation:

1: C =69.3 m2

We see from the figure that height of the parallelogram ABCD is not known and the base is 10 m

Taking the right angled triangle the height is given by

Sine theta= height/hypotenuse

height = hypotenuse* sine theta

         = 8* sine 60

         = 8* 0.866= 6.928

Area of parallelogram= base * height

                   = 10 * 6.928

                   = 69.28

                  =69.3 m²

2: F = ll units

We see from the figure that height of the parallelogram DEFG is not known and the base is 13 cm

Area of parallelogram= base * height

                  143 = 13 * height

           Height = 143/13= 11 units

3. C:  3 in.

The area of the triangle = 1/2 * base * height

Let the height be x then the base is 3x

54= 1/2*x*3x

54= 3x²/2

27= 3x²

x²=27/3

x²= 9

x= 3

The height is 3 inches

4. G =65 units

Area of the quadrilateral = 1/2 *PR*QO + 1/2 *PR*OS

                                      = 1/2*13*4+ 1/2*13*6

                                        =26+ 39

                                        = 65 units

These measurements are given in the diagram .

If m∠4 = (5x+4)° and m∠6 = (7x-36)°, then x = ______.

Answers

Answer:

x=20

Step-by-step explanation:

x=20 i think that’s what it is

Given y varies inversely as x, and y = 5 when x = 9. *Write the inverse function

Answers

Answer:

y = 45/x

Step-by-step explanation:

Here, we want to write an inverse relationship

for an inverse relationship, the product of both variables will be equal to the constant term

Let us have the constant term as k

Thus, we have it that;

xy = k

9 * 5 = k

k = 45

So the inverse function is;

xy = 45

or y = 45/x

if y is a function of x, we can have it as;

f(x) = 45/x

Solve (3^p times 81 = 9) for p

Answers

Answer:

p = -2

Step-by-step explanation:

Start by dividing both sides by 81 to get the power by itself.

[tex]3^p \cdot 81 = 9\\\\3^p=\frac{9}{81}=\frac{1}{9}[/tex]

Write the fraction using a power of 3.

[tex]3^p=\frac{1}{3^2}\\\\3^p=3^{-2}\\\\p=-2[/tex]

This assumes you know about negative exponents:  [tex]a^{-n}=\frac{1}{a^n}[/tex]

2. A recipe uses 5 cups of water, 3 cups of rice, and 1 cup of black beans. What is the ratio of cups of rice to cups of water? Write the ratio in 2 different forms in the box. (2 points)​

Answers

Answer:

3/5

cups of rice over cups of water

Step-by-step explanation:

I'm sorry I only know one way.

The cost to rent a bicycle is $5.00 plus $3.00 per hour for x hours. What equation
represents the total cost, C, for x hours? *
1. C = 5x + 3
2.C = x(5 + 3)
3.C = 5 + 3x
4.C = 5x + 3x

Answers

Answer:

3

Step-by-step explanation:

hope this helps with the problem

Answer:

C = 5+3x

Step-by-step explanation:

if its 3.00 per hour for x hours, you have to multiply 3 by x hours.

Which expression is equivalent to 9(9m + 3t) ?

81m + 3t
81, m, + 3, t

81m + 27t
81, m , + 27, t

18m + 3t
18, m, + 3, t

18m + 12t

Answers

the answer is 81m + 27t

Two more than the quotient of a number and 5 is equal to 8

Answers

Answer:

30

Step-by-step explanation:

We can start by writing an equation:

2 + x / 5 = 8

We are adding 2 since we are asking for two more than the quotient, and it is set equal to 8 as given by the problem.

We can subtract 2 from both sides to isolate the x term:

2 + x / 5 = 8

-2             -2

x / 5 = 6

Now, we can multiply by 5 to cancel out the division by 5:

x / 5 = 6

* 5        * 5

x = 30

So, the number is 30.

The requried number is 30, and the equation model is x/5 + 2 = 8.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
In the question, we have given a statement, and using that we have to model an equation,
To model an equation 1 step is to assign a variable.

So let the number be x.
According to the quesiton,
Two is more than the quotient of a number and 5 is equal to 8
x/5 + 2 = 8
x/5 = 8 - 2
x /5 = 6
x = 5 × 6
x = 30

Thus, the requried number is 30, and the equation model is x/5 + 2 = 8.

Learn more about models here:
https://brainly.com/question/29216499
#SPJ2


Carlos has $13 in his bank account and writes a check for $22. After the check has been cashed, what will the bank balance show?

Answers

Answer:

Step by step explanation:

13-22=-9

A 2.18 x 10-8 F capacitor has plates
separated by 3.89 x 10-8 m. What is
the area of the plates?

Answers

Answer:

9.58 *10^-5

Step-by-step explanation:

Acellus

[tex]x^{2}[/tex]+8x+7

Answers

Answer:

(x + 1)(x + 7)

Step-by-step explanation:

Assuming you require the expression factored

x² + 8x + 7

Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)

The factors are + 1 and + 7 , since

1 × 7 = 7 and 1 + 7 = 8 , then

x² + 8x + 7 = (x + 1)(x + 7) ← in factored form

Your answer would be (x+1) (x+7).

he graph below shows the results of a middle school election for president of the student body.


How many 6th, 7th, and 8th graders voted for Jose?
A.
320
B.
410
C.
420
D.
370

Answers

Answer:

Step-by-step explanation:

In order for Tim to simplify the expression below, what step will he need to use for each variable's exponent? 6 x y^2 z^4 2 x^2 y^5 z A Divide the exponents B Multiply the exponents C Add the exponents D Subtract the exponents

Answers

Answer:

C. Add the exponents

Step-by-step explanation:

The given expression is presented as follows;

6·x·y²·z⁴·2·x²·y⁵·z

The expression can be rearranged by according to like terms as follows;

6·2·x·x²·y²·y⁵·z⁴·z = 3·2·2·x·x²·y²·y⁵·z⁴·z

By the law of indices, we add the exponents of the like terms to simplify the expression as follows;

3·2·2·x·x²·y²·y⁵·z⁴·z = 3·2⁽¹⁺¹⁾·x⁽²⁺¹⁾·y⁽⁵⁺²⁾·z⁽⁴⁺¹⁾ = 3·2²·x³·y⁷·z⁵

In order to simplify the expression the step Tim needs to use for each variable's exponent is to add the exponents.

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