The area of the region under the curve of a function f(x) = ax + b on the interval [0, 4] is 16 square units.
(a, b) ≠
Answers
Answer:
[tex](a,b) \ne (7,-9)[/tex]
Step-by-step explanation:
Given
[tex]f(x) = ax + b[/tex]
[tex]Interval = [0,4][/tex]
[tex]Area = 16[/tex]
Required
[tex]a, b \ne[/tex]
The area is calculated as:
[tex]Area = \int\limits^a_b {f(x)} \, dx[/tex]
So, we have:
[tex]Area = \int\limits^4_0 {(ax + b)} \, dx[/tex]
Integrate
[tex]Area = (\frac{ax^2}{2} + bx)|\limits^4_0[/tex]
Expand
[tex]Area = [(\frac{a*4^2}{2} + b*4)] - [(\frac{a*0^2}{2} + b*0)][/tex]
[tex]Area = [(\frac{a*4^2}{2} + b*4)][/tex]
[tex]Area = 8a+ 4b[/tex]
This gives:
[tex]8a + 4b = 16[/tex]
Divide through by 4
[tex]2a + b = 4[/tex]
From the list of options, the possible values of a and b are:
[tex](a,b) = (-2,8) \to 2 * -2 + 8 = 4[/tex]
[tex](a,b) = (1,2) \to 2 * 1 + 2 = 4[/tex]
[tex](a,b) = (3,-2) \to 2 * 3 -2 = 4[/tex]
[tex](a,b) = (5,-6) \to 2 * 5 -6 = 4[/tex]
The odd one is:
[tex](a,b) = (7,-9) \to 2 * 7 -9 = 5[/tex]
Hence:
[tex](a,b) \ne (7,-9)[/tex]
![The Area Of The Region Under The Curve Of A Function F(x) = Ax + B On The Interval [0, 4] Is 16 Square](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/dFRAZqbVqpfo1KZJaNxPYKJLrJozxL0v.png)
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Find its dimensions.
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12x8=96
crikey expression to show whether it is equivalent to 3 * 9 or to 2x3x9
Answers
Answer:
See the matching below
Step-by-step explanation:
Given data
We have two expressions to match
3 * 9 and 2x3x9
3 * 9= 9*3
3 * 9=3*(4+5)
2x3x9= (2*3)*9
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A 4-cup bottle of shampoo costs $24.84. What is the price per pint?
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choose all of the points that are solutions to y<3x+2:
A. (0,0)
B. (0,2)
C. (1,4)
D. (1,7)
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Answer:
ACEStep-by-step explanation:
✓ A. (0, 0) [y < 3x + 2 → 0 < 2]
× B. (0, 2) [y < 3x + 2 → 2 < 2]
✓ C. (1, 4) [y < 3x + 2 → 4 < 5]
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An aquarium has the dimensions shown in the net below. What is the surface area of the aquarium?
A. 27 Square Feet
B.45 Square Feet
C. 28.5 Square Feet
D. 57 Square feet
(the top of the rectangle is 2 if you can’t see it.)
Answers
Answer:
C
Step-by-step explanation:
Answer:
D. 57 Square feet
Step-by-step explanation:
So first you do 4.5x2=9.0 then you times that by 2 so 9.0x2= 18
Next, you do 4.5x3= 13.5 then you times that by 2 so 13.5x2= 27
Lastly, you do 2x3 on one side and 2x3 on the other side. For both of those you get 6, so you do 6+6 and you get 12
Finally you do
18+27+12=57
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Answers
Answer: 240
Step-by-step explanation:
Given
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For making a bagel there are 12 choices to select a bagel, following this there are 10 choices for cream with a option to roast
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What is the multiplicative rate of change of the
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х
1
2
y
2
2
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2
25
2
125
3
4
02
05
Answers
Answer:
1/5
Step-by-step explanation:
correct on edg :)
An exponential function is a nonlinear function
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From the table, we have the following ordered pairs
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Answer:
I hope it helps u
Step-by-step explanation:
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Mark me as brainlist answer,
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Answer:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Eight people were asked what the balance of their checking account at the beginning of this past week was and how much it increased or decreased by the end of the week.
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Step-by-step explanation:
using this
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Answer:
y = 4
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3y = y + 8
-y -y
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2y÷2 cancels out so
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Answers
Answer:
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or
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Answers
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Answers
Answer:
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Step-by-step explanation:
To find the common ratio, divide any term by the previous term.
1/16 ÷ -1/4 = 1/16 * -4 = -4/16 = -1/4
=====================================================
Explanation:
Pick any term of the sequence that isn't the first term. Divide whatever you picked by the previous term. That will compute the common ratio. This applies to geometric sequences only.
So let's say we pick on term 3 and divide it over term 2. That will get us...
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Where r is the common ratio.
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We get the same result. I'll let you try dividing the second term over the first term. You should get r = -1/4 after simplifying.
-------------
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For instance,
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A. (x + 2)(x + 5)
B. (x + 10)(x+ 1)
O C. (x+3)(x+3)
O D. (x + 5)(x+6)
HELP ASAP
Answers
Answer:
[tex]b. (x + 10)(x + 1)[/tex]
[tex] {x}^{2} + 11x + 10[/tex]
[tex]x(x + 10) + x + 10[/tex]
factor out x from the expression
[tex]x(x + 10) + x + 10[/tex]
factor out x +10 from the expression
[tex](x + 10)(x + 1)[/tex]
then its the answer
i hopenit helps , even though it was just my.....own opinion .....answer
Given the graph below, locate the points of the reflection over the x-axis.
Answers
Answer:
Answer:
A: (1,3)
A': (1,-3)
---
B: (5,1)
B': (5,-1)
---
C: (-2,2)
C': (-2,-2)
---
D: (-5,4)
D': (-5,-4)
The reflection of the given points over the x-axis is:
(-5, -4), (-2, -2), (1, -3), (5, -1)
What is Coordinate Geometry?By using graphs with curves and lines, coordinate geometry (also known as the analytic geometry) explains how geometry and algebra are related.
As per the given data:
We are given a graph, and we have to find the reflection of the points in the graph over the y-axis.
From the graph given, the points are as as follows:
Let's assume the points as A, B, C and D
A = (-5, 4)
B = (-2, 2)
C = (1, 3)
D = (5, 1)
The reflection over the x-axis are as follows:
A' = (-5, -4)
B' = (-2, -2)
C' = (1, -3)
D' = (5, -1)
Hence, the reflection of the given points over the x-axis is:
(-5, -4), (-2, -2), (1, -3), (5, -1)
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Find the value of x, (x-7)°(2x+1) °
Pleas help!!!!
Answers
Answer:
x = 32
Step-by-step explanation:
2x+1 + x-7 = 90
3x - 6 = 90
3x = 96
x = 32
HELP ASAP!!.
50/5+2- [3+9] -3+7
Please show work
Answers
Answer:
4
Step-by-step explanation:
50/5+2-[3+9]-3+7
=10+2-12-3+7
=12-12-3+7
=-3+7
=4
Answer:
the correct answer is 4
Step-by-step explanation:
first your going to calculate the parentheses
[3+9]=12
which leaves the equastion as
50/5+2-12-3+7
then multiply and divide going left-right
50/5=10
which makes the equastion
10+2-12-3+7
then add and subtract going left to right so it would be
10+2=12-12=0-3=-3+7=4
You enter a lottery. You pick three numbers
between 1 and 50. You win the grand prize if your
three numbers are picked. What is the probability
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