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
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No way I’m going to type all that in lol
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Answers
Answer:
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Step-by-step explanation:
Function g can be thought of as a translated (shifted) version of f(x)=|x|.
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Answer:
Step-by-step explanation:
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The cost of 3 scarves is $66.75. What is the unit price?
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Answer:
Divide $26.25 by 3 to find out the cost of the unit price. It is $8.75.
Answer:
8.75
Step-by-step explanation:
Elimination method 10x-4y=-8
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Answers
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Add it to the first equation
10x-4y=-8
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——————-
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Every year, Jada's scout troop makes and sells tie-dyed shirts to raise money for charity. Short-sleeved shirts are easier to make, so they try to sell more short-sleeved shirts than long-sleeved shirts. Last year, her troop sold 20 short-sleeved shirts and 25 long-sleeved shirts. This year, her troop sold 35 short-sleeved shirts and 50 long-sleeved shirts. Which year's sales had a greater ratio of short-sleeved shirts to long-sleeved shirts?
Answers
Answer:
long-sleeved
Step-by-step explanation:
long-sleeved shirt has gained 25 more sales than last year while short sleeved shirt sales only gained 15 more sales than last year.
Answer:
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Step-by-step explanation:
I'm sorry if it's wrong
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Answers
Answer:
25
Step-by-step explanation:
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Factor 4x+16y using the gcf
Answers
2 x 2x=4x
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Answers
Answer:
10/3 or 3 1/3
Step-by-step explanation:
4 1/3= 13/3 as a mixed fraction
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13/3 - 2/2= 11/3
then he gives 1/3 to bill:
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The fifth term of an arithmetic sequence is 23 and the 12th term is 72? Determine the first three terms of the sequence and the nth term
Answers
Answer:
the first term is a1
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we have:
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so we have the equation:
a1 + 4d = 23
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so the first three terms is -5; 2; 9
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Answers
Answer:
11700
Step-by-step explanation:
I'm not sure if that is a fraction or if you're trying to divide it. That is the answer if you're trying to divide. Hope it helps.
The multipliers that will create opposite terms of the y-variable for this system have been determined. Use the equivalent system of equations to solve the system. 4(3x − 1 4 y = 15) → 12x − y = 60 −6(2 3 x − 1 6 y = 6) → − 4x + y = − 36 What is the solution to the system of equations? ( , )
Answers
Answer:
The answer to the multipliers that will create opposite terms of the y-variable for this system have been determined. Use the equivalent system of equations to solve the system. is (3, -24)
Step-by-step explanation:
Answer:
3 -24
Step-by-step explanation:
got it right
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Answers
6,541 round to the nearest thousand
Answers
Answer:
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Step-by-step explanation:
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Answers
i hope it’s correct!
Answer:
(1,1.5)
Step-by-step explanation:
x = 1
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A recipe calls for 1 1/2 cups of flour for 1 dozen of cookies. How much flour is needed for 32 cookies?
Answers
Answer:
4 cups
Step-by-step explanation:
Espaol
A math class has 7 girls and 3 boys in the seventh grade and 4 girls and 4 boys in the eighth grade. The teacher randomly selects a seventh grader and an
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Write your answer as a fraction in simplest form.
M
Answers
Answer:
61%
Step-by-step explanation:
7g+3b= 7th grade
4g+4b= 8th grade
70% chance of a girl getting picked from 7th grade
50% chance of a girl getting picked from 8th grade class
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about 61% chance for both classes to be a girl picked?
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Answers
Answer:
[tex]a^{14+n}[/tex]
Step-by-step explanation:
You add the exponents when the number/variable is the same, so:
6+8+n= 14+n
So:
[tex]a^{14+n}[/tex]
kaylie swims 1500m every monday,,wednesday, friday, and saturday. Sunday, she swims 1800m. how much km does she swim each week?
Answers
Answer:
If she swims everyday but tuesday and sunday she would had swim 6000m a week But if you going to count sunday she swims, 7800m a week.
Step-by-step explanation:
Start off with 1500m.
Since it's monday, wednesday, friday and saturday it would be
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7800.
Which of the following is an arithmetic sequence?
O 0, 2, 4, 6, ...
1, 2, 4, 8,...
1,4, 8, 13,...
Answers
Answer:
0,2,4,6
Step-by-step explanation:
it adds 2 each time
What is the measure of ZABD?
Answers
Answer:
39
Step-by-step explanation:
–9x + 9y = 9
y = –7
(
,
)
Answers
Answer:
x=-8
(-8,-7)
Step-by-step explanation:
–9x + 9y = 9
–9x + 9(-7) = 9 (y=-7)
-9x-63=9
Both side +63
-9x=63+9
-9x=72
Both side divide -9
x=-8
y=-7
(-8,-7)
George bought a car at $5000 and sold it at $5500. What benefit, in percent, did he
make?
a. 500%
b. 10%
C. 5000%
0.5%
Answers
The benefit in the percentage did he make at the time of purchasing and selling the car is 10%.
Calculation of the percentage:Since George bought a car at $5000 and sold it at $5500
So, the profit percentage be like
[tex]= (5500 - 5000) \div 5000[/tex]
= 10%
hence, The benefit in the percentage did he make at the time of purchasing and selling the car is 10%.
Learn more about percentage here: https://brainly.com/question/24552083
Help pls I mark brainliesy
Answers
Answer:
no sé jajajajajajjajajajaja
Help please will mark brainliest!
Answers
find value of x also the answer choices are
a. 62.5
b. 9.65
c. 71.35
d. 103.25
Answers
Answer:
D.103.25
Step-by-step explanation:
To find the value of x, you need to know that the height of the donkey and the cactus are proportional and that the shadow of the donkey and cactus are also proportional to each other. Thus, you need to create a proportional and cross multiply to find the value of x.
x/59 = 7/4
After you cross multiply, the equation should look like this:
4x=413
Finally, you divide both sides or numbers by 4 to get 103.25 as your answer! Hope this helps!
Which of the following best describes a square root?
Answers
Answer:B
Step-by-step explanation: a factor of a number that is multiplied by itself
I need help with this question
Answers
I think the answer is 408
Express the terms of the following sequence by giving an explicit formula.
9, 12 15, 18, 21
A. u(n) = n + 3, where n = 1, 2, 3, 4, . . .
B. u(n) = 6 + 3n, where n = 1, 2, 3, 4, . . .
C. u(n) = 3 + n, where n = 1, 2, 3, 4 . . .
D. u(n) = 3n, where n = 1, 2, 3, 4, . . .
Answers
Answer:
B.
Step-by-step explanation:
The common difference is + 3 so we have an arithmetic sequence.
u(n) = a1 + d(n - 1)
= 9 + 3(n - 1)
= 9 + 3n - 3
= 6 + 3n.
What is 49% in a decimal
Answers
Answer:
0.49
Step-by-step explanation:
Answer:
Step-by-step explanation:
49% = 0.49 in decimal form. Percent means 'per 100'. So, 49% means 49 per 100 or simply 49/100. If you divide 49 by 100, you'll get 0.49 (a decimal number).
