All categories

3 years ago

9. Let f(x) = 4x + 7 and g(x) = 3x - 5. Find.(g×f)(-4) Pick one

Mathematics

1 answer:

gladu [14]3 years ago

5 0

Answer:

-32

Step-by-step explanation:plug f(x) equation in the x in the g equation so you have 3(4x+7)-5

then distribute the 3 and you end up with 12x+21-5

combine like terms

12x+16

plug in negative four and solve

You might be interested in

I have no idea what im doing someone help pls! due soon

Irina18 [472]

4x2-28x+49

Final result :

(2x - 7)2

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(22x2 - 28x) + 49

Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 4x2-28x+49

The first term is, 4x2 its coefficient is 4 .

The middle term is, -28x its coefficient is -28 .

The last term, "the constant", is +49

Step-1 : Multiply the coefficient of the first term by the constant 4 • 49 = 196

Step-2 : Find two factors of 196 whose sum equals the coefficient of the middle term, which is -28 .

-196 + -1 = -197

-98 + -2 = -100

-49 + -4 = -53

-28 + -7 = -35

-14 + -14 = -28 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -14 and -14

4x2 - 14x - 14x - 49

Step-4 : Add up the first 2 terms, pulling out like factors :

2x • (2x-7)

Add up the last 2 terms, pulling out common factors :

7 • (2x-7)

Step-5 : Add up the four terms of step 4 :

(2x-7) • (2x-7)

Which is the desired factorization

Multiplying Exponential Expressions :

2.2 Multiply (2x-7) by (2x-7)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (2x-7) and the exponents are :

1 , as (2x-7) is the same number as (2x-7)1

and 1 , as (2x-7) is the same number as (2x-7)1

The product is therefore, (2x-7)(1+1) = (2x-7)2

Final result :

(2x - 7)2

7 0

3 years ago

Read 2 more answers

What is the sum of the geometric series 2^0 + 2^1 + 2^2 + 2^3 + 2^3 + 2^4 + … + 2^9?

GREYUIT [131]

Sum is
$S_{n}=\frac{a_{1}(1-r^{n})}{1-r}$

r=common ratio
a1=first term
it looks like 2^0=1 is the first term aka a1
it goes to the 9th term (2^9)

sub
$S_{9}=\frac{1(1-(2)^{9})}{1-2}$
$S_{9}=\frac{1-512}{-1}$
$S_{9}=\frac{-511}{-1}$
$S_{9}=511$

4 0

3 years ago

Read 2 more answers

Adding which of the following ordered pairs to the set [(0, 1), (2, 4), (3,5)) would make it not a function?

Kitty [74]

Answer:

(0,7)

Step-by-step explanation:

For a set of ordered pairs to be a function, there needs to be "ONE" value of y for each unique x value.

Thus, we see that the 3 ordered pairs given have x values of 0, 2, and 3.

Now, we look in the answer choices and find which ones are 0, 2, or 3 in x-coordinate.

That would be only (0,7). Now the original set has x = 0 corresponding to y = 1

Is that true for (0,7)?? NO!

x = 0 will now correspond to "TWO" values of y.

THis will make this NOT A FUNCTION.

So, (0,7) is correct.

3 0

3 years ago

The measure of an exterior angle of a regular polygon is 2x and the measure of an interior angle is 4x Find the measure of one i

kolbaska11 [484]

Answer:

Part a) The measure of an exterior angle is 60°

Part b) The measure of an interior angle is 120°

Step-by-step explanation:

step 1

Find the value of x

we know that

A regular polygon has equal sides and equal interior angles

The sum of an interior angle plus an exterior angle must be equal to 180 degrees (supplementary angles)

$2x+4x=180$

solve for x

$6x=180$

$x=30$

step 2

Find the measure of an exterior angle

substitute the value of x

$2x=2(30)=60\°$

step 3

Find the measure of an interior angle

substitute the value of x

$4x=4(30)=120\°$

In this problem the regular polygon is a hexagon

6 0

3 years ago

The diameter of the handle of a softball is 3/4 Inches. What is the length of the diameter of 8 of these bat handle

USPshnik [31]

It is 6 inches if you have 8 3/4 segments lined up togehter

5 0

3 years ago