7.
Rewrite the expression (4x² + 5x) ²-5(4x ² + 5x) – 6 as a product of four linear factors.

Answers

Answer 1

Answer:

(x+2)(x+1)(4x+1)(4x-3)

Step-by-step explanation:

(4x² + 5x)² - 5(4x² +5x) - 6

= (4x² + 5x)² - 6(4x² +5x) + 1(4x² +5x) -6

= (4x² + 5x)(4x² +5x -6) +1 (4x² +5x -6)

= (4x²+5x-6)(4x²+5x+1)

= (4x² + 8x - 3x - 6)(4x² + 4x + x +1)

= (4x(x + 2) - 3(x + 2))(4x(x+1) +1(x+1))

= (x+2)(4x-3)(x+1)(4x+1)


Related Questions

Which angle is the smallest?
12
10
D

Answers

Answer:

Step-by-step explanation:

NEED ASAP!!!

Evaluate the expression for the given value of the variable. 28+ 7 9r r= -1/2

Answers

Evaluate just means plug in the value that they give you, so instead of r you plug in -1/2
So. 28+79(-1/2)
=28+(-39.5)
= 28-39.5
=-11.5 or -11 1/2

Answer:

-11.5

Step-by-step explanation:

28+ 79r  r= -1/2

28+ 79(-1/2) =

28 + -39.5 -11.5

Find the greatest common factor of 27 and 46​

Answers

The greatest common factor of 27 and 46 is 1

Drake bought a $110,000 life insurance policy at $12.95 for a 20 year term.
What will he pay over 20 years for the premium?

Answers

Drake will pay $28,490 over 20 years for the premium.

Data and Calculations:

Life insurance policy = $110,000

Insurance term = 20 years

Premium rate = $12.95 per $1,000

Total premium per year = $1,424.50 ($12.95 x $110,000/$1,000)

Total premium for 20 years = $28,490 ($12.95 x $110,000/$1,000 x 20)

Thus, Drake will pay a total premium of $28,490 for 20 years.

Learn more: https://brainly.com/question/3164505

If a fair coin is tossed 9 times, what is the probability, to the nearest thousandth, of
getting exactly 6 tails?

Answers

84/512 = 0.164
Getting 6 tails is 0.164 chance

Answer:

16.4% quick maths, ya dig?

I need help with this question! Whoever is correct, I will give brainliest!

Answers

The system of equations that can be used to model the situation is:

B. [tex]x + y = 27[/tex][tex]y = 3 + \frac{1}{2}x[/tex]

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Variable x: number of boxes Juan packed.Variable y: number of boxes David packed.

Together they packed 27 boxes, hence:

[tex]x + y = 27[/tex]

David packed 3 more than half the number Juan packed, hence:

[tex]y = 3 + \frac{1}{2}x[/tex]

Hence, the system of equations that models the situation is:

B. [tex]x + y = 27[/tex][tex]y = 3 + \frac{1}{2}x[/tex]

You can learn more about system of equations at https://brainly.com/question/25960609

What is the length of the unknown side of the right triangle? A right triangle with hypotenuse x and legs 7 and 24 7 24 25 31

Answers

Answer:

X = 25

Step-by-step explanation:

To find the hypotenuse of a right triangle you use pythagorean theorm Where C = Hyp

A = Leg1

B = Leg 2

A^2 + B^2 = C^2

7^2 + 24 ^2 = x^2

49 +  576 = x^2

625 = X^2    (Square root both sides)

25 = x

-- Gage Millar, Algebra 1/2 tutor

Anything number raised to the zero power is

Answers

Answer:

It is equal to 1 when raised to the zero power.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Any number raised to the zero power equals 1. This is by definition to make the rules of exponents work.

Look at this example:

Any number (except zero) divided by itself equals 1.

For example, 25/25 = 1,

but 25 = 5²,

so 25/25 = 5²/5²

The rule of dividing two powers with the same base is to use the same base and subtract the powers.

5²/5² = 5^(2 - 2) = 5^0

By the rule of exponents, 5²/5² = 5^0,

but we saw above that 5²/5² = 25/25 = 1, so

5^0 must equal 1.

This led to the following definition of zero exponent.

Definition:

For any number a, a^0 = 1.

Amat increased the amount of carbs he eats each day from 120g to 165g. By what percentage did he increase the amount of carbs he eats?

Answers

Answer:

32%

Step-by-step explanation:

(6.-1);y=-5x+3
slope intercept form

Answers

Answer:

y = x + 4 y= x − 8 25 x + y =

3

Step-by-step explanation:

One number is 3 times another. If the difference between the numbers is 14, what is the larger number?

Answers

Answer:

21

Step-by-step explanation:

Create an equation: 3n - n = 14

Solve: 3n - n = 14

          2n = 14

           n = 7

Larger number: 3(7) = 21

Answer:

The numbers are 7 and 21.

Step-by-step explanation:

The difference is 14 and 7*3= 21

4n + 8 = 40


what does n =

Answers

4n + 8 = 40

4n = 40 - 8

4n = 32 / : 4

n = 8

N = 8

Hope this helps!!! if so please give brainliest

Maki~

if g(x)=x^2+2x, find g(-6)

Answers

Answer:

-6/2+2×(-6)

-3+(-12)

-3-12

-15

say I like English debating but it takes too long sometimes. but replace English with math

Answers

I like Math debating but it takes too long sometimes. This is so because mathematics, despite being an exact science, provides several alternatives to reach the same final result.

Thus, for example, a probability percentage can be obtained by means of a binomial formula or by means of a cross multiplication calculation, where both results will be correct.

Learn more in https://brainly.com/question/17387142

Answer:

oh my god

Step-by-step explanation:

7.5t= 45 Solve this.

Answers

Answer:

t = 337.5

Step-by-step explanation:

(7.5) * 7.5t = 45 * (7.5)

t = 337.5

Just some simple algebra, please mark me brainliest!

okay, i’ve been given a new question KCNDJXNZNS

Answers

Answer: 40

Step-by-step explanation:

The angles in a triangle are equal to 180

We can use this equation to find x

180 = 20 + 3x + x

Then we solve

160 = 4x

x = 40

Answer:

180 = 20 + 3x + x

X = 40

Step-by-step explanation:

180 = 20 + 3x + x

Combine like terms

180 = 20 + 4x

Subtract 20 on both sides

160 = 4x

Divide both sides by 4

40 = x

Find the quotient. Write the answer in the simplest form.

58÷34

Answers

Answer:

1.70588235294

Step-by-step explanation:

i think

Answer:

1.70

Step-by-step explanation:

Round 53,714.54 to the nearest a. thousandth. b. thousand.​

Answers

The answer is A I think
The answer would be B

the table shows the price x (in dollars) of a product at several different stores and the profits y (in dollars) generated by seeing the product. use a graphic calculator to write a function that models the data. Round each value in your function to the nearest hundredth. The equation is y=___​

Answers

Regression equations are used to represent the relationship between the x and y variables.

The regression equation is [tex]\mathbf{y =-0.39X +467.84}[/tex]

Using a graphing calculator, we have the following parameters

Sum of x: [tex]\mathbf{\sum x = 269}[/tex]Sum of y: [tex]\mathbf{\sum y = 3170}[/tex]Mean of x: [tex]\mathbf{\bar x = 38.4286}[/tex]Mean of y: [tex]\mathbf{\bar y = 452.8571}[/tex]Sum of squares: [tex]\mathbf{SS_x = 1679.7143}[/tex]Sum of products: [tex]\mathbf{SP = -648.5714}[/tex]

The regression equation is represented as:

[tex]\mathbf{y =bX +a}[/tex]

Where:

[tex]\mathbf{b = \frac{SP}{SS_x}}[/tex] and [tex]\mathbf{a = \bar y-b \times \bar x}[/tex]

So, we have:

[tex]\mathbf{b = \frac{-648.5714}{1679.7143}}[/tex]

[tex]\mathbf{b = -0.39}[/tex]

Also, we have:

[tex]\mathbf{a = \bar y-b \times \bar x}[/tex]

This gives:

[tex]\mathbf{a = 452.8571 - (-0.39 \times 38.4286) }[/tex]

[tex]\mathbf{a = 467.84}[/tex]

Substitute values for (b) and (a) in [tex]\mathbf{y =bX +a}[/tex]

[tex]\mathbf{y =-0.39X +467.84}[/tex]

Hence, the regression equation is [tex]\mathbf{y =-0.39X +467.84}[/tex]

See attachment for the scatter plot

Read more about regression equations at:

https://brainly.com/question/7656407

Patrick makes chocolate chip cookies. The recipe calls for 1 3/4 cups of flour. If Patrick triples the recipe, how much flour will he need?
A. 3 9/12 cups
B. 4 1/4 cups
C. 3 3/4 cups
D. 5 1/4 cups

Answers

Answer: 21/4 or 5 1/4

Step-by-step explanation: sorry for the 21/4 if this is wroNG IM SOOO SORRy if it is..

f(x) = -x2
Domain and range

Answers

Answer: answer in attachment.

Answer:

Hindi ko na to I answer may nag answer na e

Explanation:

Brainlest po please please follow ko po kayo promise

basta brainlest mo ako

What is the range of this function?
4
-
co
8
7
18
-15
O A. {-4, -1, 15, 18}
O B. {-4,1,7,15}
OC. {-1,4, 8, 18}
O D. {-4, -1,1,4,7,8, 15, 18}

Answers

Answer:

Not sure but I think it's B.

Write 0.012 as a fraction in simplest form.

Answers

Answer:

3/25

Step-by-step explanation:

Remove The decimal,

= > 0.012 = 12/100

= > 3/25...ans

Hope it Helps you!!

.3 times the value of 8/4 of positive a witch equals the sum of what
a =34.55

Answers

Answer:

I have difficulty understanding the question.  I read it as "What is the value of  a number that when multiplied by 0.3 times (8/4) is equal to 34.55.  This doesn't seem correct, but if it is:

Step-by-step explanation:

(0.3)*(8/4)x = 34.55

(8/4)x = 115.17

x = (4/8)*(115.17)

x = 57.58

21 is the correct answer.

evaluate 1000 x 1.2
help asap!!

Answers

Answer:

1200

hello i love to help


help asap ill give brainliest

Answers

Answer: The answer is 120 degrees, mama

Step-by-step explanation:

(n-2)180

What i mean by n is the total amount of sides so in this case it would be 6. so the equation would look like (6-2)180.

6-2=4

(4)180

720

720/6

120 thats how you get the answer

When using re-grouping to solve 25 x 45, what are the four problems that would be calculated to find the final answer?
A.20 x 40; 5 x 40; 20 x 5; 5 x 5
B.20 x 20; 40 x 40; 20 x 5; 5 x 5
C.20 x 40; 20 x 5; 40 x 5
D.20 x 40; 5 x 20; 20 x 5; 5 x 5

Answers

Answer:

It is number 1

Step-by-step explanation:

I tried it.

pls help! NO LINKS I WILL REPORT YOU

Answers

I agree c, also sorry if that’s wrong

I need an emergency help plssssss! :(

Answers

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

[tex]\\ \sf\longmapsto \sqrt{X^{a-b}}\times \sqrt{X^{b-c}}\times \sqrt{X^{c-a}}[/tex]

[tex]\\ \sf\longmapsto X^{\frac{a-b}{2}}\times X^{\frac{b-c}{2}}\times X^{\frac{c-a}{2}}[/tex]

[tex]\\ \sf\longmapsto X^{\frac{a-b}{2}+\frac{b-c}{2}+\frac{c-a}{2}}[/tex]

[tex]\\ \sf\longmapsto X^{\frac{a-b+b-c+c-a}{2}}[/tex]

[tex]\\ \sf\longmapsto X^{\frac{a-a+b-b+c-c}{2}}[/tex]

[tex]\\ \sf\longmapsto X^{\frac{0}{2}}[/tex]

[tex]\\ \sf\longmapsto X^0[/tex]

[tex]\\ \sf\longmapsto 1[/tex]

In 161616 years, Ben will be 333 times as old as he is right now.
How old is he right now?

Answers

Answer:

8

Step-by-step explanation:

I'm going to guess there's a typo in the question and it should be

In 16 years, Ben will be 3 times as old as he is right now.

x + 16 = 3x

subtract x from both sides

16 = 2x

Divide both sides by 2

8 = x

x = 8

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