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Mkey [24]
3 years ago
9

If m(x)= 3/4(x) what is m(8x-16)

Mathematics
1 answer:
taurus [48]3 years ago
7 0
Answer: 6x - 12

Explanation:

m(8x-16) = 3/4(8x-16)
m(8x-16) = 3(8x-16)/4
m(8x-16) = (24x - 48)/4
m(8x-16) = 24(x - 2)/4
m(8x-16) = 6(x - 2)
m(8x-16) = 6x - 12
You might be interested in
For which value of b can the expression x2 + bx + 18 be factored?
Dmitry_Shevchenko [17]

Answers:

  • b = -19
  • b = -11
  • b = -9
  • b = 19
  • b = 11
  • b = 9

====================================================

Explanation:

Here are all the ways to multiply to 18 when using integers only:

  • -1*(-18) = 18
  • -2*(-9) = 18
  • -3*(-6) = 18
  • 1*18 = 18
  • 2*9 = 18
  • 3*6 = 18

Sum each pair of factors to find out a possible value of b.

  • -1 + (-18) = -19
  • -2 + (-9) = -11
  • -3 + (-6) = -9
  • 1 + 18 = 19
  • 2 + 9 = 11
  • 3 + 6 = 9

Therefore, the possible values of b are

  • b = -19
  • b = -11
  • b = -9
  • b = 19
  • b = 11
  • b = 9

which are the final answers.

----------------------

An example:

Let's say b = 11. This would mean x^2+bx+18 becomes x^2+11x+18

It would factor to (x+2)(x+9) since it was stated earlier that:

2+9 = 11

2 * 9 = 18

You can use the FOIL rule, distributive property, or the box method to confirm that x^2+11x+18 = (x+2)(x+9) is a true equation for all real numbers x.

This same idea applies for the other values of b.

----------------------

If you're curious why this works, consider multiplying the two factors (x+p) and (x+q)

Use the FOIL rule to get (x+p)(x+q) = x^2+qx+px+pq = x^2+(p+q)x + pq

The middle term (p+q)x has the components add to the coefficient, while those same two components multiply to get the last term. This is why when factoring we're looking for two numbers that multiply to 18, and also add to the value of b (which in the case of the last example was 11).

7 0
2 years ago
Multiply: Using FOIL method<br> (x-8)^3
alukav5142 [94]
(x - 8)³
(x - 8)(x - 8)(x - 8)
(x² - 8x - 8x + 64)(x - 8)
(x² - 16x + 64)(x - 8)
(x³ - 8x² - 16x² + 128x + 64x - 512)
x³ - 24x² + 192x - 512
6 0
3 years ago
Help please? I do not get this!
Nookie1986 [14]

Answer:

D

Step-by-step explanation:

6cm

8 0
3 years ago
The kelso building costs 84.5 million to build, the jones building costs 33.8 million
Dominik [7]
Kelso / jones = 84.5/33.8 = 5/2 = 2 1/2
==> c
7 0
3 years ago
the space station has an average orbit of 250 miles above the earth. how many pennies would it take to make a stack that high? p
hram777 [196]

Answer:

264694796.312

Step-by-step explanation:

A penny is 0.0598 inches (1.52 mm) in thickness. (0.75 is the diamiter).

Hear me out. Now we gotta convert it to miles to divide 250 by the number  (there's 6.21371e-7 miles in one mm). first convert the mm to inches (by dividing the length value by 63360). We get 9.444842171717e-7 or 9.44484e-7 for a shorter form. Last step 250/9.444842171717e = 264694796.312.

Oh btw I'm not very sure on this answer correct me please if I'm wrong.

3 0
2 years ago
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