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
what is 3/5 + 3/2 ?
I’ll mark as BRAINLIEST
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Answer:
2 1/10
Step-by-step explanation:
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14+22=36
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Surface area = 121.5
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A team has won 51 out of 68 games. Explain how to
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Answers
Answer:
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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:
3(x-2)+7=2(x+5)
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Answers
Answer:
x=9
Step-by-step explanation:
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Answer:d and a
Step-by-step explanation:
Solve the formula for the specified variable.
I = Prt
P=
Answers
Step-by-step explanation:
I= PRTP=I/RT................Point B, located at (-5, -8), is rotated 360°. What are the coordinates of point B?
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Answers
The coordinates are still the same because a rotation of 360° is a complete circle, therefore the points remain in the same spot.
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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.
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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.
Help! Will give brainliest!
Answers
Answer:
6 or 5
Step-by-step explanation:
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.
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Answer: does
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Answer:
22.5
Step-by-step explanation:
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Answers
Answer:
Step-by-step explanation:
38.25 minutes × (1 lap)/(4.25 minutes) = 9 laps
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
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Answers
Evan has a loyalty card good for a discount at his local hardware store. The item he
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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%
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Answers
Answer:
Either 36,8 × 2,1 or 2,3 × 33,6
The table shows the fees to park in a parking lot.
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Answers
Answer:
$7.50
Step-by-step explanation:
4 1/2 hours total
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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
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. 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
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Step 2: Write Function
Substitute in parts.
y = 7x - 8
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
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Answers
Answer:600g
Step-by-step explanation: 50x3=150 150x4=600 since 30x4=120
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Answers
Answer:
I dosent show anything that I should solve
Step-by-step explanation:
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Answers
Answer:
-x=-6
x=6
7(6)+2y=24
42+2y=24
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2y=-18
y=-9
Step-by-step explanation:
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Answers
Answer:
obtuse angle
Step-by-step explanation:
as it is angle 1 is greater than 90
The product of 3 and q increased by 7 is equal to the
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Answers
Answer:
-2
Step-by-step explanation:
3q + 7 = q +3
Bring the variables to one side and the numbers to the other
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q = -2
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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.
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Answers
Answer:
The answer is 10 20/4=5*2=10
Step-by-step explanation:
its 10