3 years ago

If f(x) = x2 + 2x, then find f(a+h)-f(a)

Mathematics

1 answer:

sertanlavr [38]3 years ago

6 0

Subsitute a+h for x and a for x

f(a+h)-f(a)=
(a+h)^2+2(a+h)-(a^2+2a)
a^2+2ah+h^2+2a+2h-a^2-2a
2ah+h^2 is the result

You might be interested in

MATCH THE NUMBER ( WORD) TO THE CORRECT DEFINITION (LETTER)

Shtirlitz [24]

1. c
2. e
3. c
4. a
5. b

6 0

3 years ago

$2000 was borrowed for 4 years with an interest rate of 3% compounded annually. What is the total amount owed at the end of the

kompoz [17]

Answer:

$\$2,251.02$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the total amount owed

P is the amount of money borrowed

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=4\ years\\ P=\$2,000\\ r=3\%=3/100=0.03\\n=1$

substitute in the formula above

$A=2,000*(1+\frac{0.03}{1})^{1*4}$

$A=2,000*(1.03)^{4}$

$A=\$2,251.02$

4 0

3 years ago

Read 2 more answers

Tristan is building steps up to a deck that is 156 5 6 yards above the ground. The steps must all be the same height. If he want

ss7ja [257]

Answer:

The height of each step is 1957 yard

Step-by-step explanation:

we are given

Tristan is building steps up to a deck that is 15656 yards above the ground

so, total height =15656 yards

Number of steps =8

now, we can use formula

Height of each step = ( total height)/( number of steps)

now, we can plug these values

and we get

Height of each step is

$=\frac{15656}{8}yards$

$=1957yards$

8 0

3 years ago

If f(x) = 4x 6 and g(x) = x + 2,<br> what is (fºg)(7)?

laiz [17]

Step-by-step explanation:

(f○g)(7)

= f(g(7))

g(7) = 7 + 2

= 9

f(9) = 4(9) .....

......

3 0

3 years ago

Divide 120 in the ratio of 1:2

mestny [16]

Answer:

40:80

Step-by-step explanation:

x+2x=3x

3x=120

120/3=

40*2=80

40:80=1:2

6 0

3 years ago