Answers
Answer:
[tex]f(a) = 5a + 1[/tex]
[tex]f(a + h) = 5a + 5h +1[/tex]
[tex]\frac{f(a + h) - f(a)}{h} =5[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 5x + 1[/tex]
Solving (a): f(a)
Substitute a for x in [tex]f(x) = 5x + 1[/tex]
[tex]f(a) = 5a + 1[/tex]
Solving (b): f(a + h)
Substitute a + h for x in [tex]f(x) = 5x + 1[/tex]
[tex]f(a + h) = 5(a + h) +1[/tex]
Open bracket
[tex]f(a + h) = 5a + 5h +1[/tex]
Solving (c): [tex]\frac{f(a + h) - f(a)}{h}[/tex]
In (a):
[tex]f(a) = 5a + 1[/tex]
In (b):
[tex]f(a + h) = 5a + 5h +1[/tex]
So:
[tex]\frac{f(a + h) - f(a)}{h} =\frac{5a+5h+1 - (5a+1)}{h}[/tex]
Open bracket
[tex]\frac{f(a + h) - f(a)}{h} =\frac{5a+5h+1 - 5a-1}{h}[/tex]
Collect Like Terms
[tex]\frac{f(a + h) - f(a)}{h} =\frac{5a- 5a+5h+1 -1}{h}[/tex]
[tex]\frac{f(a + h) - f(a)}{h} =\frac{5h}{h}[/tex]
[tex]\frac{f(a + h) - f(a)}{h} =5[/tex]
Related Questions
Solve the formula for the specified variable.
I = Prt
P=
Answers
Step-by-step explanation:
I= PRTP=I/RT................A team has won 51 out of 68 games. Explain how to
use the bar diagram to find the percent of games the
team has won
Answers
Answer:
you would divide -> 51/68 and you would get .75. move the 2 first numbers after the dot to the front and you get 75%
Step-by-step explanation:
Answer:Divide 51/68 and you would get .75. move the 2 first numbers after the dot to the front and you get 75%
Step-by-step explanation:
What is the total surface area of a cube with an edge on 4 1/2 feet
Answers
Answer:
What is the total surface area of a cube with an edge on 4 1/2 feet... 121.5 feet
Step-by-step explanation:
Surface area = 6 × 4 1/2 × 4 1/2
Surface area = 121.5
ASAP I WILL GIVE BRAINLIEST
Which statements apply to the expression 5 ?
The answers/options r in the pic
Answers
Answer:
ok so in my math class I just learned this so sry if I am wrong but so
Answer:
Options 1, 3, 4, 7
Step-by-step explanation:
I'm guessing you meant the expression 3/5^3.
The base would be 3/5 because that is the number that the exponent is raising.
The exponent is 3 because that's the small number above and to the right of 3/5.
The expanded form is 3/5 × 3/5 × 3/5 because there's an exponent of 3. An exponent means you multiply the number by itself, the number of times it's being raised to. The exponent is 3 and 3/5 is being multiplied 3 times.
The solution would be 27/125 because when you multiply fractions, you just multiply straight across. 3 × 3 × 3 is 27 and 5 × 5 × 5 is 125.
I hope this makes sense, it's kinda hard to make it understandable without being able to actually talk to you.
If I have 41 red mechanical pencils and each pencil has 3 pieces of lead in it. How many pieces of lead are there in all
Answers
Answer: There are 123 pieces in total.
Step-by-step explanation: If you have forty-one pencils, and each has three pieces of lead, you multiple forty-one by three.
Total lead = 41 * 3
Total lead = 123 pieces
pattie spent 3/4 of her allowance on a backpack. If her allowance is $24, how much of her allowance is left after she purchased the backpack?
Answers
Answer:
she has 6 dollars left
Step-by-step explanation:
she spent $18 on the backpack
Help ASAP!! I’m confised and need help. What is angle 1 in the picture called?? Thanks!!
Answers
Answer:
obtuse angle
Step-by-step explanation:
as it is angle 1 is greater than 90
What is the length of the base of a right triangle with an area of 20 square meters and a height of 4 meters? 5 m 10 m 80 m 160 m
Answers
Answer:
The answer is 10 20/4=5*2=10
Step-by-step explanation:
its 10
PLZZZZZ HELP IT IS DUE IN 5 MINUTES
Answers
Evelyn jogs around the park every 4 1/4 minutes. How many laps will she jog in 38 1/4 minutes?
34
43
42 1/2
9
Answers
Answer:
Step-by-step explanation:
38.25 minutes × (1 lap)/(4.25 minutes) = 9 laps
Skye needs 50 g of sugar to make 30 biscuits.
She also needs
three times as much flour as sugar
two times as much butter as sugar
Skye is going to make 120 biscuits.
(a) Work out the amount of flour she needs.
Answers
Answer:600g
Step-by-step explanation: 50x3=150 150x4=600 since 30x4=120
please help using elimination !
7x+2y=24 8x+2y=30
Answers
Answer:
-x=-6
x=6
7(6)+2y=24
42+2y=24
2y=24-42
2y=-18
y=-9
Step-by-step explanation:
A line and a point ____ intersect
Answers
Answer: does
Step-by-step explanation:
In slope-intercept form, the equation of the line with a slope of 7 and a y-intercept of (0, -8) is ________
. Do not include spaces in your answer.
Answers
Answer:
y = 7x - 8
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 7
y-intercept b = -8
Step 2: Write Function
Substitute in parts.
y = 7x - 8
what is 3/5 + 3/2 ?
I’ll mark as BRAINLIEST
Answers
Answer:
2 1/10
Step-by-step explanation:
-7z-2=12.
can u please show the work also
Answers
Answer:
z = -2
Step-by-step explanation:
-7z -2 = 12
-7z = 14 (add 2 on both sides)
z = -2 (divide -7 on boths sides)
z = -2
-7z = 12 + 2
-7z = 14
z = -14/7
z = -2
3(x-2)+7=2(x+5)
What is the answer to this please
Answers
Answer:
x=9
Step-by-step explanation:
distribute: 3x-6+7=2x+10
add like terms: 3x+1=2x+10
add the x's and the integers: x=9
so billy has 10 apples if he subtracts it by 6 then times it by 3 then divides it by 2 what does he get?
Answers
Answer:
6
Step-by-step explanation:
3 × (10 - 6) ÷ 2 =?
The strategy that we are using here is PEMDAS:
First, you subtract 6 from 10 which is 4. 10 - 6 =4
Next, you multiply 4 by 3. 4 × 3 = 12
Then, you divide 12 by 2. 12 ÷ 2 = 6
Your answer is 6.
Your welcome. Showed my work below.
Determine the measure of side d in the following diagram. Make sure that your answer is rounded to the nearest tenth.
Answers
Help! Will give brainliest!
Answers
Answer:
6 or 5
Step-by-step explanation:
A rectangle has the dimensions 2.3 x 2.1. If I want a rectangle that has the area 16 times the size of the original rectangle, what will be my new dimensions?
Answers
Answer:
Either 36,8 × 2,1 or 2,3 × 33,6
helpppp it’s dueee rnnnn
Answers
Answer:d and a
Step-by-step explanation:
Evan has a loyalty card good for a discount at his local hardware store. The item he
wants to buy is priced at $14, before discount and tax. After the discount, and before
tax, the price is $11.76. Find the percent discount.
Answers
Answer:
14-11.76 = 2.24
2.24×100
14 = 16%
since, the discount percentage is 16%
Please help! Find the value of X. Round to the nearest tenth. acellus
Answers
9514 1404 393
Answer:
38.2°
Step-by-step explanation:
The law of sines tells you ...
sin(x)/15 = sin(27°)/11
sin(x) = (15/11)sin(27°) . . . . . multiply by 15
x = arcsin((15/11)sin(27°)) ≈ arcsin(0.619078) ≈ 38.2488°
x ≈ 38.2°
_____
Additional comment
In "law of sines" problems, you need to identify a side and opposite angle that you know both values of. Then, you need to identify whether you're looking for an angle or a side, and whether its opposite side or angle is known. If two angles are known, you can always figure the third from the sum of angles in a triangle.
Here, we have angle 27° opposite side 11. We are looking for an angle, and we know its opposite side. This lets us use the ratio formula directly. Since the angle is the unknown, it is useful to write the equation with sines on top and sides on the bottom.
The given angle is opposite the shorter of the given sides, so this triangle has two solutions. We assume that we want the solution that is an acute angle (141.8° is the other solution). That assumption is based on the drawing. Usually, you're cautioned not to take the drawings at face value.
Point B, located at (-5, -8), is rotated 360°. What are the coordinates of point B?
O(-5, -8)
(5,8)
O (5,-8)
0 (-5,8)
Answers
The coordinates are still the same because a rotation of 360° is a complete circle, therefore the points remain in the same spot.
The table shows the fees to park in a parking lot.
first hour = $1
second hour = $1.50
each additional hour or part of an hour = $2.
How much does it cost to park for 4 1/2 hours?
Answers
Answer:
$7.50
Step-by-step explanation:
4 1/2 hours total
1st hour = $1.00 ; 3 1/2 hrs remaining
2nd hour = $1.50 ; 2 1/2 hrs remaining
after 2 hours you pay $2 per hour so 2.5 x 2 = $5.00
Need help with math points and brainlest
Answers
Answer:
22.5 cm
Step-by-step explanation:
Answer:
22.5
Step-by-step explanation:
13.5 / 9 = x / 15
help me out
14 < n - 22
Answers
Answer:
14+22=36
36 is less than n
Step-by-step explanation:
how can equations help you model the relationship between two quantities
Answers
Answer:
I dosent show anything that I should solve
Step-by-step explanation:
The product of 3 and q increased by 7 is equal to the
sum of q and 3. Find q.
Answers
Answer:
-2
Step-by-step explanation:
3q + 7 = q +3
Bring the variables to one side and the numbers to the other
3q - q = 3 -7
2q = -4
q = -2
Hope this helps!