Mathematics: Please help I need by Tomorrow!

The denominator has to be the total number of kids and the numerator is the kids that can stay after school. so 12/30 then simplify. 12/30 divided by 6/6 = 2/5...

Please help I need by Tomorrow! - id10954726, elijahjacksonrp6z2o7

Ответ:

deena7

29.03.2022

Mathematics

f(a) = 5a + 1

f(a + h) = 5a + 5h +1

$\frac{f(a + h) - f(a)}{h} =5$

Step-by-step explanation:

Given

f(x) = 5x + 1

Solving (a): f(a)

Substitute a for x in f(x) = 5x + 1

f(a) = 5a + 1

Solving (b): f(a + h)

Substitute a + h for x in f(x) = 5x + 1

f(a + h) = 5(a + h) +1

Open bracket

f(a + h) = 5a + 5h +1

Solving (c): $\frac{f(a + h) - f(a)}{h}$

In (a):

f(a) = 5a + 1

In (b):

f(a + h) = 5a + 5h +1

So:

$\frac{f(a + h) - f(a)}{h} =\frac{5a+5h+1 - (5a+1)}{h}$

Open bracket

$\frac{f(a + h) - f(a)}{h} =\frac{5a+5h+1 - 5a-1}{h}$

Collect Like Terms

$\frac{f(a + h) - f(a)}{h} =\frac{5a- 5a+5h+1 -1}{h}$

$\frac{f(a + h) - f(a)}{h} =\frac{5h}{h}$

$\frac{f(a + h) - f(a)}{h} =5$

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Please help I need by Tomorrow!

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