Given the function
f(x)=4x−1
, evaluate and simplify the expressions below. See special instructions on how to enter your answers.
f(a)=
f(a+h)=
f(a+h)−f(a)h=
Instructions: Simplify answers as much as possible. Expressions such as 4(x+2)and (x+5)2 should be expanded. Also collect like terms, so 3x+x should be written as 4x.

Answer:

[tex]f(a) = 4a - 1[/tex]

[tex]f(a+h) = 4a+4h - 1[/tex]

[tex]f(a + h) - f(a)h= 4a + 5h - 4ah- 1[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 4x - 1[/tex]

Solving (a): f(a)

Substitute a for x

[tex]f(a) = 4a - 1[/tex]

Solving (b): f(a + h)

Substitute a + h for x

[tex]f(a+h) = 4(a+h) - 1[/tex]

[tex]f(a+h) = 4a+4h - 1[/tex]

Solving (c):f(a + h) - f(a)h

[tex]f(a + h) - f(a)h= f(a + h) - f(a) * h[/tex]

Substitute values for f(a + h) and f(a)

[tex]f(a + h) - f(a)h= 4a + 4h - 1 - (4a- 1) * h[/tex]

Open bracket

[tex]f(a + h) - f(a)h= 4a + 4h - 1 - 4ah+ h[/tex]

Collect like terms

[tex]f(a + h) - f(a)h= 4a + 4h + h - 4ah- 1[/tex]

[tex]f(a + h) - f(a)h= 4a + 5h - 4ah- 1[/tex]

Help me solve this 9(n + 2) n = 1/4 the choices are A. 3 B. 9 C. 10 D. 19

Subtract -4 and -11 with the help of number line. pls answer as soon as possible pls​

Maria is starting a small DVD business online. She makes $3 on each DVD she sells. To start her business though, she had to invest $750. How many DVDs does she need to sell before she starts to make a profit?

Over the summer, Teagan and Maya read a total of 36 books. Teagan reads three times as many books as Maya. How many books does each girl read?

(DUE TODAY) Paul wants to build this model with clay, but he does not know how much clay to purchase. Draw a line to separate the model into two rectangular prisms. Then write an expression for the volume of the model. What is the volume?

Look at the picture.
Thank u!

7.
Judy can decorate 3 cakes in 5 hours. Which graph has a slope that best represents the
number of cakes per hour Judy can decorate?
A
Cake Decorating
Cake Decorating
Number of Cakes
30
27
24
21
18
15
12
Number of Cakes
30
27
24
8 21
18
15
12
9
G
3
0 1 2 3 4 5 6 7 8 9 10
Time (hours)
0 1 2 3 4 5 6 7 8 9 10
Time (hours)
B
Cake Decorating
D
Cake Decorating
y
30
2
30
27
24
21
Number of Cakes
200
18
15
Number of Cakes
19

What is the answer to 14v+6=2(5+7v)

Triangle NOP is similar to triangle RST. Find the measure of side RS. Round your
answer to the nearest tenth if necessary. Figures are not drawn to scale

State whether each pair of expressions are equivalent. Show your work.

4(5 + g) + 8(4g + 3 i NEED HELP

4:08 - 1:15 =
time calcuation

You spin the spinner twice.
8
7
What is the probability of landing on an 8 and then landing on a 7?
Write your answer as a fraction or whole number.

PLZ HELP!!! WILL MAKE BRAINLIEST!!!​

what is the shape and direction of f(x)=(x+7)(x+11)

HELP PLSSSSSSSI ASKING YOU ╰（‵□′）╯PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Help

Which product are greater than 2 and 5\6? Select all that apply

During a guided tour of Sindrow Castle, a group of tourists climbed to the top of Fineview Tower.
At the top, the guide asked the six children in the group to guess how many steps they had
climbed. Their guesses were 155, 157, 167, 168, 179 and 183.
The guide revealed that the closest guess was only 3 more or less than the correct number and
that two of the other guesses were no more than 10 away.
How many steps had they climbed?
A 160
B 164
C 171
D 176

A tissue box has a base of 36 in2 ? and is 5 inches tall. What is the volume of the tissue box?

y=3x-4 slope intercept form

which expression would be easier to simplify if you used the commutative property to change the order of the numbers​

35. A production facility employs 20 workers on the day shift, 15 workers on the swing shift, and 10 workers on the graveyard shift. A quality control consultant is to select 6 of these workers for in-depth interviews. Suppose the selection is made in such a way that any particular group of 6 workers has the same chance of being selected as does any other group (drawing 6 slips without replacement from among 45). a. How many selections result in all 6 workers coming from the day shift

[tex]18 - 4 \div {2}^{2} \times 10[/tex]
whats the answer​

Hey guys can someone help me out?

Graph x > -2. PLEASE HELP!!!!!

12 to the 3rd power divided by 12 to the 7th power ​

No solution is the answer when both lines have the same slope with a different y-
intercept.
o True
o False

Through: (1,-4) and (-3,1)

if you get it right and you are the first one than i will give you all stars and thanks and a crown but if you are just right then only the stars and the thanks

If the area of a rectangle is (15x2 - 16x - 15) square feet, and its length is (3x - 5) feet, find its width

Select all the multiples of the number 3​