Rewrite the function by completing the square.
h(x) = 4x2 + 4x + 1

Answers

Answer 1

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[tex]h(x) = 4 {x}^{2} + 4x + 1 [/tex]

[tex]h(x) = ({2x + 1})^{2} [/tex]

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Related Questions

B.F. Retread, a tire manufacturer, wants to select one of three feasible prototype designs for a new tire; A, B, C.

Revenues
Low (0.30) Medium (0.50) High (0.20)
A 120,000 255,000 390,000
B 130,000 295,000 460,000
C 100,000 300,000 480,000

Required:
Calculate the highest value you would pay for a highly reliable forecast.

Answers

Answer:

c

Step-by-step explanation:

We have a bag that contains 100 balls, 50 of them red and 50 blue. Select 5 balls at random. What is the probability that 3 are blue and 2 are red?

Answers

Answer:

Likely, I think I havent been in this for a long time so i may be a little rusty. But anyways, I hope this helped!

Step-by-step explanation:

32% is the probability that 3 are blue and 2 are red.

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

We have a bag that contains 100 balls, 50 of them red and 50 blue.

We, Select 5 balls at random.

the probability that 3 are blue and 2 are red = 50C3*50C2/50C5

solving we get,

19600*1225/75287520

=24010000/75287520

=0.32

=32%

Hence, 32% is the probability that 3 are blue and 2 are red.

To learn more on probability click:

brainly.com/question/11234923

#SPJ2

-a^2b^2c^2(a+b-c) find the product

Answers

Answer:

-a^3b^2c^2-a^2b^3c^2+a^2b^2c^3

I hope it will be useful.

List all sets that -1/3 belongs to.

Answers

Answer:

dfffffffff

Step-by-step explanation:

xcdsw23456iu76

The value of 8 in 5.18 is
of the value of 8 in 5.81.

Answers

Answer: This is false.

Step-by-step explanation:

The value of 8 in 5.18 is 8 Hundredths, the value of 8 in 5.81 is 8 Tenths.

Y=2x^3 linear or nonlinear

Answers

Answer: linear

Step-by-step explanation:

Answer:

LINEAR...................

Step-by-step explanation:

y=2x−3 is in slope intercept form for a linear equation, y=mx+b , where m is the slope and b is the y-intercept. The y-intercept is the point at which x=0 and y=−3 , which is point (0,−3) You can plot this point on your graph. The slope is can be described as riserun , and can be written as 21 . Start at (0,3)

HELPP!! ITS A LOT BUT YOU GET POINTS!

Answers

Answer:

To hard me brain go BOOM

Step-by-step explanation:

lol sorry i cant

:∫ PLZZ help ;⊃ plz no playing around I need actual answer

Answers

Answer:

d.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

15/10 goes down to 3/2 divide 15 by 5

21/14 goes down to 3/2 divide 21 by 7

One day Clare runs 4 miles. The next day she
runs 50% of that. How far does she run in total?

Answers

Clare runs 2 miles. 6 miles total. 50% is also 1/2.

Answer:

She runs 6 miles in total.

A car running at a constant speed covers a distance of 492.36 km in
12 hours. Calculate the distance covered by the car in 51/2 hours.​

Answers

Answer:

the anser is 1046.265 because in

492.36=12hour

? =51/2hour then criscros both side 492.36*25,5/12=492.36

A paired t-test can be treated as an inference about the mean of differences between two experimental conditions for a single sample of independent subjects.A. TrueB. False

Answers

Answer:

The statement provided is False.

Step-by-step explanation:

The dependent t-test (also known as the paired t-test or paired-samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.

We use the paired t-test if we have two measurements on the same item, person or thing. We should also use this test if we have two items that are being measured with a unique condition.

For instance, an experimenter tests the effect of a medicine on a group of patients before and after giving the doses.

The statement provided is:

"A paired t-test can be treated as an inference about the mean of differences between two experimental conditions for a single sample of independent subjects."

Thus, the statement provided is False.

Please help!! algebra
Find each value
1. ∛x³
2. 6³
3. 10³

Answers

x
216
1000
Hope it helps:)

Find 3 consecutive odd integers such that 10 times the first is 59 more than the third?

Answers

Answer: The required three consecutive odd integers are 7, 9 , 11.

Step-by-step explanation:

Let x , x+2 , x+4 be the three consecutive odd integers.

As per given ,  

10(x) = 59+x+4

⇒10x= 59+x+4

⇒ 9x= 63

⇒ x= 7   [ divide both sides by 7]

Hence, the required three consecutive odd integers are 7, 9 , 11.

I have $10 my mom gave me $30 my dad gave me $30 my aunt and uncle gave me $100 but I had another $10 so how much do I have

Answers

Answer:

$180

Step-by-step explanation:

10+30+30+100+10=180

You have 180


The reason:if you add 10+30=40 then 30+10=40 then 40+40=80 last 100+80=180

50% of trick or treaters dressed up as a ghosts.
You have seen 33 ghosts. How many trick or
treaters did you see in all?

Answers

Answer:

66

Step-by-step explanation:

50% = 1/2

33 x 2 = 66

By which rule are these triangles congruent?

Answers

Answer:

sss

Step-by-step explanation:

what is the meaning of function

Answers

Answer:

A relationship or expression involving one or more variables

Step-by-step explanation:

Please help!
Thanks in advance.

Answers

Answer:

y = (1/4)x + 5/2

Step-by-step explanation:

The lines slope needs to be opposite of the equation's so its positive (1/4)

This is the only slope listed that is that number so no need to calculate for the y value!

Add the two expressions.

3z−4 and 2z + 5


I need it asap please help!

Answers

Answer:

3(1)-4=-1 2(1)+5=7

Answer:

5z+1

Step-by-step explanation:

it was simple

What is the equation of a line that is perpendicular to 2x+y=−4 and passes through the point (2, −8) ?​

Answers

Answer:

y=1/2z-9= Perpendicular line

y=-2x-4= parrallel

Step-by-step explanation:

Answer:

y = [tex]\frac{1}{2}[/tex] (x) - 9

Step-by-step explanation:

Set the given equation to standard form: y = -2x -4

Set the slope of the given equation's slope to the reciprocal ( -2 --> 1/2).

Thus, you will have y = 1/2x + b

Insert the given information: (2, -8)

-8 = 1/2 (2) + b

Half of 2 is 1: subtract it on both sides...

-8 = 1 + b

-1    -1      

-9 = b

So, the equation will be y = 1/2(x) - 9

Math problem pls help I will give brainiest

Answers

Answer:

y=5

Step-by-step explanation:

125 +125+13y+9y=360

punch it into math-way.

250+22y=360

22y= 110

y=5

Earl runs 60 meters in 40 seconds. How many meters per second does Earl run?

Answers

Earl runs 1.5 meters per second.................

Vocabulary How can you tell when an equation in one variable has infinitely many solutions or no solution? When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You also will end up with a true statement for an equation with infinitely many solutions. When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will also end up with a false statement for an equation with infinitely many solutions. When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions. When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You will end up with a false statement, like 0 = 2 for an equation with infinitely many solutions.

Answers

Answer: Choice C) When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.

For example, let's say we had the equation x = x+2. Subtracting x from both sides leads to 0 = 2 which is a false statement. No matter what we replace x with, the equation x = x+2 is always false. That's why we don't have any solutions here.

For an equation like x + 2 = x + 2, subtracting x from both sides leads to 2 = 2 which is always true. A true equation is one where the same number is on both sides. No matter what we replace x with, the equation will be true. Therefore, there are infinitely many solutions.

To tell when an equation in one variable has infinitely many solutions or no solution;

When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution.

You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.

The condition for an equation with no solution warrants that the equation upon evaluation yields a false statement as in the case of 1 = 2. In this case, such an equation has no solution.

The condition for an equation with infinitely many solutions warrants that the equation upon evaluation yields a true statement as in the case of y + 5 = y + 5. In this case, such an equation has infinitely many solution.

Read more;

https://brainly.com/question/11966980

Write the slope intercept form of the equation of the line through the given point with the given slope

Through: (-2,1), slope = -3

Answers

Slope form: y= mx + b
Plug it in: y = -3x + b
1 = -3(-2) + b
1 = 6 + b
b = -5
Final equation: y = -3x -5

0.3, 0.08, 0.003, 0.83
In order from smallest to largest

Answers

0.003, 0.08, 0.3, 0.83

Answer:

0.003, 0.08, 0.3, 0.83

pattern 60 52 44 36​

Answers

Decreasing by 8 each time

4. Verify that the functions fand g are inverses of each other by showing that
f(g(x)) = x and g(f(x)) = x.

F(x)=2x-3/x+4
g(x) = 3+4x/2-x

Answers

Answer and step-by-step explanation:

We just have to apply one function in the other one. See:

→ f(g(x)):

[tex]f(x) = \dfrac{2x-3}{x+4}\\\\f(g(x)) = \dfrac{2g(x)-3}{g(x)+4} = \dfrac{2\cdot\dfrac{3+4x}{2-x}-3}{\dfrac{3+4x}{2-x}+4}\\\\f(g(x)) = \dfrac{\dfrac{6+8x}{2-x}-3}{\dfrac{3+4x}{2-x}+4}\\\\f(g(x)) = \dfrac{\dfrac{(6+8x)-3(2-x)}{2-x}}{\,\,\,\dfrac{(3+4x)+4(2-x)}{2-x}\,\,\,}=\dfrac{(6+8x)-3(2-x)}{(3+4x)+4(2-x)}\\\\f(g(x)) =\dfrac{6+8x-6+3x}{3+4x+8-4x}=\dfrac{11x}{11}\\\\\\\boxed{f(g(x)) = x}[/tex]

→ g(f(x)):

[tex]g(x) = \dfrac{3+4x}{2-x}\\\\g(f(x)) = \dfrac{3+4f(x)}{2-f(x)} = \dfrac{3+4\dfrac{2x-3}{x+4}}{2-\dfrac{2x-3}{x+4}}\\\\g(f(x)) = \dfrac{3+\dfrac{8x-12}{x+4}}{2-\dfrac{2x-3}{x+4}}\\\\g(f(x)) = \dfrac{\dfrac{3(x+4)+(8x-12)}{x+4}}{\,\,\,\dfrac{2(x+4)-(2x-3)}{x+4}\,\,\,}=\dfrac{3(x+4)+(8x-12)}{2(x+4)-(2x-3)}\\\\g(f(x)) =\dfrac{3x+12+8x-12}{2x+8-2x+3}=\dfrac{11x}{11}\\\\\\\boxed{g(f(x)) = x}[/tex]

What verifies that f and g are inverses of each other.

Q.E.D.

PLEASEEEE HELPPP MEEE :(

Answers

Answer:

Question 5 is B

Because after I simplified I got B and its the only one that makes sense.

A taxi company charges $2.25 for the 1st mile and then $0.20 per mile for each additional mile, or F= $2.25+ $0.20 (m-1) where F is the fare and m is the number of miles. If Juan’s taxi fare is $7.65 ,how many miles did he travel in the taxi?

Answers

Answer:

28

Step-by-step explanation:

F=2.25+0.20(m-1)

7.65=2.25+0.20(m-1)

5.4=0.20(m-1)

5.4/0.20=0.20(m-1)/0.20

27=m-1

28=m

why is earth known as diatomaceous Earth​???
From biology

Answers

Answer:

Diatomaceous earth is made from the fossilized remains of tiny, aquatic organisms called diatoms. Their skeletons are made of a natural substance called silica. Over a long period of time, diatoms accumulated in the sediment of rivers, streams, lakes, and oceans. Today, silica deposits are mined from these areas.

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