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cestrela7 [59]
3 years ago
8

I'm really struggling with this form if you could leave steps that'd be amazing!

Mathematics
1 answer:
Norma-Jean [14]3 years ago
5 0

Answer:

2x + 5 + h

Step-by-step explanation:

You are told f(x) is defined this way.

f(x) = x^2 + 5x - 3

To find f(x + h), replace x with x + h in the definition of the function.

f(x + h) = (x + h)^2 + 5(x + h) - 3     Equation 1

Now you need to insert this entire expression in the fraction you are given and simplify it.

Here is the expression you were given:

\dfrac{f(x + h) - f(x)}{h}

Now we replace f(x + h) with the expression above (Eq. 1). We replace f(x) with the original quadratic expression.

\dfrac{(x + h)^2 + 5(x + h) - 3 - (x^2 + 5x - 3)}{h}

Now we expand the square of the binomial and distribute the negative throughout the parentheses.

\dfrac{x^2 + 2hx + h^2 + 5x + 5h - 3 - x^2 - 5x + 3)}{h}

2x + h + 5

Combine like terms in the numerator.

\dfrac{2hx + h^2 + 5h)}{h}

\dfrac{h(2x + h + 5)}{h}

2x + 5 + h

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alex41 [277]
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7 0
2 years ago
A storage tank has A circumference Of 200 meters what is the area of the base of the tank
lorasvet [3.4K]

Circumference = 2 pi r

2 pi r = 200

r = 100 / pi

Area of base = pi r r

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6 0
3 years ago
Hey can some one look at this?
AURORKA [14]
I'm just going to give you a very quick answer, but I can answer the question
1 foot = 12 inches.
x feet = 60 inches.

1 foot * 60 inches = 12 * x divide by 12

60 / 12 = 5 

So the person is at least 5 feet tall. The height you want is 5 feet 4 inches.

So add 4 inches to 5 feet.
or
Add 4 inches to 60 inches.
you get 64 inches.

There are 20 entries all together. 2 people are 64 inches tall. 

P(64) = 2/20 = 1/10 = 0.1

Answer P(64) = 0.1

I would check all of this if I were you. I'm not sure I counted either one correctly. 

6 0
3 years ago
1.here are some decimal numbers. 5.012 |0.66 | 19.8 | 123.01 | 2.39 | 23.1 write down all numbers that have two decimal places
ziro4ka [17]

Answer:

0.66, 2.39

Step-by-step explanation:

two decimal places look like this. Ex: (4.74)

7 0
3 years ago
a used automobile dealership recently reduced the price of a used compact car by 10 % if the price of the car before discount wa
Delvig [45]

Answer: The new price is $3350.


8 0
3 years ago
Read 2 more answers
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