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ahrayia [7]
2 years ago
12

What is the product of (2x - 5)(2x + 5)2 ?

Mathematics
2 answers:
m_a_m_a [10]2 years ago
6 0
8x^2-50 is your answer hopes this helps
Hunter-Best [27]2 years ago
3 0

Answer:

4x^{2} -50

Step-by-step explanation:

Step 1:

Expand (2x+5)(2x-5) using the foil method

apply the distributive property

2x(2x-5)+5(2x-5)

Apply the distributive property

2x(2x)+2x·-5+5(2x-5)

Apply the distributive property

2x(2x)+2x×-5+5(2x)+5×-5

Simplify and combine like terms

Simplify each term

Multiply x by x

2 x 2x^{2} + 2x x -5+5(2x)+5x-5

Multiply 2 by 2

4x^{2} +2xx-5+5(2x)+5x-5

Multiply 2 by 5

4x^{2} -10x+10x+5x-5

Multiply 5 by -5

4x^{2} -10+10x-25

Add -10x and 10x.

4x^{2} + 0 - 25

Add 4x^{2} and 0

4x^{2} -25

Step 2:

multiply the numbers:

4x^{2} -25 x 2

4x^{2} -50

Solution:

4x^{2} -50

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3. (05.06 MC)
AveGali [126]

Answer:

Step-by-step explanation:

y > 3x + 10

y < -3x - 1

<h3> Part A:</h3>

You'd graph the given systems of linear inequalities the same way as you graph the linear equations.  

To graph y > 3x + 10, plot the y-intercept, (0, 10), then use the slope, m = 3 (rise 3, run 1), to plot other points on the graph.  Use a dashed line (because of the ">" symbol).  

Follow the same steps for the other linear inequality. Plot the y-intercept, (0, -1), then use the slope, m = -3 (down 3, run 1) to plot other points. Use a dashed line (because of the "<" symbol).  

Pick a test point on either side of the boundary line and plug it into the original problem.  This will help determine which side of the boundary line is the solution.  Plug in a test point that is not on the boundary line.

Use the point of origin, (0, 0) as the test point. Plug in these values into the given systems of linear inequalities to see whether it will provide a true statement.  

y > 3x + 10

0 > 3(0) + 10

0 > 0 + 10

0 > 10 (False statement).  

y < -3x - 1

0 < -3(0) - 1

0 < 0 - 1

0 < -1 (false statement).  

Since the point of origin provided a false statement to the given systems of linear inequalities, you must shade the half-plane region where it doesn't contain the test point.  

<h3>Part B: </h3>

You'll do the same process as what I've done for the test point. Plug in the values of (8, 10) into the given systems of linear inequalities. If it provides a false statement, then it means that it is not a solution to the system.  

y > 3x + 10

10 > 3(8) + 10

10 > 24 + 10

10 > 34 (False statement).  

y < -3x - 1  

10 < -3(8) - 1

10 < -24 - 1

10 < -25 (false statement).  

Therefore, (8, 10) is not a solution to the system.    

8 0
3 years ago
A dairy cow can produce up to 2000 gallons of milk every 365 days. At this rate, a cow can produce x gallons of milk in 500 days
Mariulka [41]

First I cant understand the choices, because on how you type so I will jus provide the answer for you. First the amount of milk produce is proportional to the number of days so

2000 = k(365)

K = 2000 / 365

So to solve for x

X = ( 2000/365) 500

<span>X = 2740</span>

5 0
3 years ago
Evaluate the expression (-4+4i)(1+4i)(1+4i) and write the result in the form a+bi
allsm [11]

Answer:

Step-by-step explanation:

Since 2 of the 3 binomials are identical I would start the distribution there.

(1 + 4i)(1 + 4i) = 1+8i+16i^2

I'm sure you have learned in class by now that i-squared is = to -1, so we can make that substitution:

1 + 8i + 16(-1) which simpifies to

1 + 8i - 16 which simplifies further to

-15 + 8i.  Now we need to FOIL in the last binomial:

(-15 + 8i)(-4 + 4i) = 60-60i-32i+32i^2

Combine like terms to get

60-92i+32i^2

Again make the substitution of i-squared = -1:

60 - 92i + 32(-1) which simplifies to

60 - 92i - 32 which simpifies, finally, to a solution of:

28 - 92i

8 0
3 years ago
Can someone help me plot this please.
deff fn [24]
This graph below has your answer

5 0
3 years ago
Math sucks at times and we all know that. So, instead of coming onto Brainly for every answer to your math, this website gives y
skelet666 [1.2K]

Answer:

thanks

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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