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

The Large Hadron Collider is a tube formed into a circular loop measuring 4.3 km in diameter. It is used by physicists to accelerate atoms into each other to break them apart and observe new subatomic particles. An atom is accelerated 240 degrees around the loop before colliding with another atom. What is the distance that the atom traveled? Round your answer to the nearest hundredth. Units not necessary.

Answers

Answer:

9005.90 m

Step-by-step explanation:

The radius of the collider is half the diameter or 2150 m. The arc length S subtended by the angle is given by

S = r×(theta) where theta is the angle in radians. We need to convert the degree angle into radian angle using the following:

240° × (2pi/360°) = 4.19 radians

Therefore, the distance traveled by the atoms is so equal to the arc length S so

S = (2150 m)×(4.19 rad) = 9005.90 m

An electrician needs 3/4 roll of electrical wire to wire each room in a house . How many rooms can he wire with 6 rolls​

Answers

Answer:

8 rooms

Step-by-step explanation:

6 ÷ 3/4 which equals 6 x 4/3 = 8

Answer:

8 rooms

Step-by-step explanation:

6 / (3/4) = 8

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

57.18

Step-by-step explanation:

C = 2πr

C = 2(π)(9.1)

C = 57.18

.

=2×22/7×12

=75.42in

And

d=18.2cm

[tex]c = \pi \: d[/tex]

= 22/7×18.2

=57.2cm

Given a right triangle, find the measures of all the angles, in degrees, if one angle is a right angle and the measure of the second angle is six less than seven times the measure of the third angle. WRITE AN EQUATION.

Answers

Answer:

90°, 78°, 12°

Step-by-step explanation:

let the third angle be x then the second angle is 7x - 6

Since 1 of the angles in the triangle is 90° then the second and third angles sum to 90° , then

x + 7x - 6 = 90

8x - 6 = 90 ( add 6 to both sides )

8x = 96 ( divide both sides by 8 )

x = 12

Then

second angle = 7x - 6 = 7(12) - 6 = 84 - 6 = 78°

The 3 angles are 90°, 78°, 12°

Parker borrowed some money from his friend in order to help buy a new video game system. Parker agreed to pay the friend back some amount every week until his loan was paid off. An equation representing the amount Parker owes his friend after tt weeks is L=150-25t. What is the y-intercept of the equation and what is its interpretation in the context of the problem?

Answers

Answer:

L = 150

Step-by-step explanation:

y intercept: when x = 0

Plug in x = 0 into the equation.

L = 150

This means that Parker has not yet begun to pay his friend.

Please help this is a test and I don’t know what to do.

Answers

Answer:

u need to breath and calm down

Step-by-step explanation:

breath in and out for 5 sec u will feel better

Classify the following polynomials by degree and number of terms.
1. 4p3 + 2p2 + 19p - 5

Answers

Given:

The polynomial is:

[tex]4p^3+2p^2+19p-5[/tex]

To find:

The degree and number of terms.

Solution:

Degree of a polynomial: It is the highest power of the variable.

Terms: Numbers, variables and product of them are called terms and they are separated by positive sign "+".

We have,

[tex]4p^3+2p^2+19p-5[/tex]

In this polynomial, the variable is p and its highest power is 3. So, the degree of this polynomial is 3.

The given polynomial can be written as:

[tex]4p^3+2p^2+19p+(-5)[/tex]

So, the terms in the given polynomial are [tex]4p^3,2p^2,19p,-5[/tex].

Therefore, the degree of the given polynomial is 3 and the number of terms is 4.

The classification by degree and number of terms of degree 3 and 4 terms

Degree of polynomial

Given the polynomial function 4p^3 + 2p^2 + 19p - 5, we are to classify the expression by degree and number of terms.

The highest power of the given polynomial is its degree. Hence the degree of the polynomial is 3

Also, the given polynomial contains 4 terms.

In conclusion, the classification by degree and number of terms of degree 3 and 4 terms

Learn more on degree of polynomial here: https://brainly.com/question/25538519

Which statement is true
A. If a relationship is non - linear, it is not a function
B. A graph of a curve is linear
C. A graph that shows a constant rate of change is linear
D. A non - linear relationship has a constant slope.

Answers

Answer:

C is correct

Step-by-step explanation:

I just know this from having previously learned it, I'm not sure how to explain it but hope the answer helps!

A welder is making a metal cube. The edges of the cube will each measure115 centimeters. What will be the surface area of the metal cube?
79,350 cm
16,000 cm
52,900 cm
13,225 cm

Answers

79,350 cm

Explanation:

115x115=13,225 (this is the area of one side)

13,225x6=79,350(a cube has 6 sides)

x^2 = 1/100, what is x​

Answers

X in (-oo:+oo)

X^2 = 1/100 // - 1/100

X^2-(1/100) = 0

X^2-1/100 = 0

1*X^2 = 1/100 // : 1

X^2 = 1/100

X^2 = 1/100 // ^ 1/2

abs(X) = 1/10

X = 1/10 or X = -1/10

X in { 1/10, -1/10 }

Yuppp there right you got this
Ik youll umderdtsnd this one day


Which expression is equivalent to (1.009 1/12) 12t?

A. 1.000712t
B. 1.007512t C.1.009012t
D 1.113512t

Answers

Answer:

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Step-by-step explanation:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

PLEASE HELP THIS IS OVERDUE!!

Answers

Answer:

It is y=2x+4.

Step-by-step explanation:

Alright, so with this question, the slope and y-intercept is needed. First, lets get the y-intercept.

The y-intercept value would be 4 as this is the y value for where the line crosses over this intercept, being the coordinate (0,4).

Next, with the slope, look at where the line crosses over when the x value is 1, the y value is 6, (1, 6).

From this, we can find the slope. What is the climb/fall in the line after moving forward an x value forward? It is going up 2 y values, from 4 to 6. Therefore, the slope is 2.

With this, we can plug in the parts we need to get the final answer:

y = (2 Slope) x + (4 Y-Intercept)

y=2x+4

Answer:

[tex]y=2x+4[/tex]

Step-by-step explanation:

Written in the form [tex]y=mx+c[/tex]

The constant c is where the line intercepts the y-axis.

From the graph we can determine that c is equal to 4.

m is the slope of the line. To find it we can do [tex]\frac{dy}{dx}[/tex] where dy is the difference in y-coordinates between two points and dx is the difference between the x-coordinates.

From the graph we can pick out 2 points that lie on the line:

Point 1 (0,4)

Point 2 (1,6)

So the slope is [tex]\frac{4-6}{0-1} =\frac{-2}{-1}=2[/tex]

Now let's rewrite it in the form [tex]y=mx+c[/tex].

[tex]y=2x+4[/tex]

Solve -17 = for x. x =

Answers

Answer:

-17

Step-by-step explanation:

Simplify each expression
-4 + 7 (1-3m)

Answers

Answer:

3 - 21m

Step-by-step explanation:

-4 + 7(1-3m)

-4 + 7 - 21m

3 - 21m

what is the soultons from least to greatest (x+6)(-x+1)=0

Answers

Answer x = -6,1. hope that helped have a good day

Classify the triangle by its sides and angles

Answers

Answer:

Obtuse Scalene Triangle

Give me Brainliest if I'm correct , please ! :)

A newspaper editor wants to know whether people who buy the newspaper like the paper’s new format. He prints an alphabetical list of all the employee names and asks every fifth person on the list. Is the sample likely to be biased or unbiased? Explain your answer.

Answers

Answer:

I know that's it's Biased but I can't fully get my answer out.

I beleive its biased because he is only asking those who works for the newspaper but every fifth person

I think this answer was help you

Please help with this (01.02 MC) Simplify negative 6 and 1 over 4 - negative 2 and 1 over 8 . (5 points) Group of answer choices 4 and 1 over 8 negative 8 and 3 over 8 negative 4 and 1 over 8 8 and 3 over 8

Answers

Given:

The expression is:

[tex]-6\dfrac{1}{4}-2\dfrac{1}{8}[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]-6\dfrac{1}{4}-2\dfrac{1}{8}[/tex]

Write the mixed fractions in the form of improper fractions.

[tex]=-\dfrac{6(4)+1}{4}-\dfrac{2(8)+1}{8}[/tex]

[tex]=-\dfrac{24+1}{4}-\dfrac{16+1}{8}[/tex]

[tex]=-\dfrac{25}{4}-\dfrac{17}{8}[/tex]

Taking LCM, we get

[tex]=\dfrac{2(-25)-17}{8}[/tex]

[tex]=\dfrac{-50-17}{8}[/tex]

[tex]=\dfrac{-67}{8}[/tex]

Now write this improper fraction in the form of mixed fraction.

[tex]=-\dfrac{64+3}{8}[/tex]

[tex]=-\left(\dfrac{64}{8}+\dfrac{3}{8}\right)[/tex]

[tex]=-\left(8+\dfrac{3}{8}\right)[/tex]

[tex]=-8\dfrac{3}{8}[/tex]

Therefore, the correct option is B.

Find the remaining volume of the cube with the cone removed.

Answers

Answer:
D
Step-by-Step explanation:

The volume of a triangular prism is 42 cubic centimeters. What is
the volume of a similar prism that is twice as large as the first
prism?
A. 21 cm
C. 168 cm
B. 84 cm
D. 336 cm

Answers

Answer:

B

Step-by-step explanation:

It's needing to be doubled in size. That should be it hope it helps

A piece of land is 3 miles wide. It is 4 1/6 times as long as it is wide. How long is the piece of land?

Answers

Answer: [tex]\frac{25}{2}\ \text{miles}[/tex]

Step-by-step explanation:

Given

A piece of land is 3 miles wide

It is [tex]4\ \frac{1}{6}[/tex] times as long as it is wide

Suppose width be b

So, length becomes [tex]\frac{24+1}{6}b[/tex]

Also, [tex]b=3\ \text{miles}[/tex]

[tex]\therefore \text{Length is }l=\dfrac{25}{6}\times 3\\\\\Rightarrow l=\dfrac{25}{2}\ \text{miles}[/tex]

4x-3=2x+7 please help shdjdjsjsjsndjxj

Answers

Answer:

x=5

Step-by-step explanation:

Step 1: Subtract 2x from both sides.

4x−3−2x=2x+7−2x

2x−3=7

Step 2: Add 3 to both sides.

2x−3+3=7+3

2x=10

Step 3: Divide both sides by 2.

x=5

And theres our answer.

Hope this helped! :)

Answer:

x=5

Step-by-step explanation:

4x-3=2x+7

4x-2x= 7 +3

2x=10

2x/2=10/2

x=5

due soon!!!
find the value of x

Answers

Answer:

30 degrees

Step-by-step explanation:

see the opposite side. it is the same thing but upside-down.

(remember straight line is 180 degrees)

All together Maria and Nick had $12. After Maria spent 30% of her money and Nick spent 50 % of his money, Maria and Nick were left with the same amount. How much money did Nick have to begin with?

Answers

Answer:

$4.5

Step-by-step explanation:

Let the amount of money

Maria had = x

Nick had = y

All together Maria and Nick had $12.

= x + y = 12

x = 12 - y

After Maria spent 30% of her money and Nick spent 50 % of his money, Maria and Nick were left with the same amount.

30% of x = 50% of y

30/100 × x = 50/100 × y

0.3x = 0.5y

We substitute 12 - y for x above

0.3(12 - y) = 0.5y

3.6 - 0.3y = 0.5y

3.6 = 0.5y + 0.3y

3.6 = 0.8y

y = 3.6/0.8

y = $4.5

Therefore, in the beginning, Nick originally had $4.5

What is the coordinate of the focus
for the following parabola:
(x - 1)2 = 12(y + 2)
A. (1, -2)
B. (0, 12)
C. (12,0)
D. (1, 1)

Answers

Answer:

I want to say B or D please tell me if I'm right lol

Evaluate f(-2): SHOW ALL WORK
f(x) = x - 4

Answers

Answer:

-6

Step-by-step explanation:

substitute x=-2

f(-2)=(-2)-4=-6

Answer:

- 6

Step-by-step explanation:

f(x) = x - 4

f( - 2) = - 2 - 4 = - 6

convert 2.5 tons into pounds

Answers

i’m pretty sure it’s 5000 pounds

Answer:

5000 pounds

Step-by-step explanation:

2.5 x 2000 pounds in a ton

5000 pounds

What is the perimeter of triangle PQR.
5 units
10 units

√5+3 √2units

2 √5 + √10 units

Answers

Answer:

Opps i am really sorry i donot know it

Answer:

Step-by-step explanation:

It's 5 units

What percent is represented by the shaded area?

Answers

Answer:55%

Step-by-step explanation:

There are 20 in total with 11 shaded. Percentages are always out of 100,so 20x5=100 and you do the same with 11. So 11x5=55%.

55% this is simple math..

Which situations can be modeled by a linear function?

Answers

Answer:

A, C, E

Step-by-step explanation:

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