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kvasek [131]
3 years ago
12

Practice Writing Composite Functions Given: f(x) = x - 7 and h(x) = 2x + 3 Write the rule for h(f(x)).

Mathematics
1 answer:
Setler79 [48]3 years ago
6 0

Answer:

<h2>h(f(x)) = 2x - 11</h2>

Step-by-step explanation:

f(x) = x - 7

h(x) = 2x + 3

To find h(f(x)) substitute f(x) into h(x) that's replace every x in h(x) by f(x)

That's

h(f(x)) = 2(x - 7) + 3

h(f(x)) = 2x - 14 + 3

We have the final answer as

<h3>h(f(x)) = 2x - 11</h3>

Hope this helps you

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Write 79/10 as a mixed number
oee [108]

Answer:

7 9/10

Step-by-step explanation:

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3 years ago
How does this polynomial identity work on numerical relationships?<br> (y + x) (ax + b)
Serggg [28]

Let us take 'a' in the place of 'y' so the equation becomes

(y+x) (ax+b)

Step-by-step explanation:

<u>Step 1:</u>

(a + x) (ax + b)

<u>Step 2: Proof</u>

Checking polynomial identity.

(ax+b )(x+a) = FOIL

(ax+b)(x+a)

ax^2+a^2x is the First Term in the FOIL

ax^2 + a^2x + bx + ab

(ax+b)(x+a)+bx+ab is the Second Term in the FOIL

Add both expressions together from First and Second Term  

= ax^2 + a^2x + bx + ab

<u>Step 3: Proof </u>

(ax+b)(x+a) = ax^2 + a^2x + bx + ab

Identity is Found .

Trying with numbers now

(ax+b)(x+a) = ax^2 + a^2x + bx + ab

((2*5)+8)(5+2) =(2*5^2)+(2^2*5)+(8*5)+(2*8)

((10)+8)(7) =(2*25)+(4*5)+(40)+(16)

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3 0
4 years ago
The basketball court has an area of 150+175t, with a width of 25. what is the length
Airida [17]
L x w = 150+175t
=> l = (150+175t)/25
l = [25(6+7t)/25]
l = 6+7t
The expression of the length is l=6+7t
3 0
3 years ago
I need the x intercepts for (x+3)(x + 7) = 0
Scrat [10]

Answer:

-3, -7

Step-by-step explanation:

either x + 3 = 0 --> x = -3

or x + 7 = 0 --> x = -7

3 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through the point (4,3) and has a slope<br> of 1?
Mamont248 [21]

Answer (<u>assuming it can be in point-slope form)</u>:

y-3 = 1(x-4)  

Step-by-step explanation:

Use the point-slope formula y-y_1 = m (x-x_1) to write the equation of the line. Substitute real values for m, x_1, and y_1 in the formula.

Since m represents the slope, substitute 1 in its place. Since x_1 and y_1 represent the x and y values of a point the line intersects, substitute the x and y values of (4,3) in its place. Substitute 4 for x_1 and 3 for y_1. This gives the following equation and answer in point-slope form:

y-3 = 1(x-4)

5 0
3 years ago
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