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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You are going to Store E and your friend is going to Store F. Where on line n should you park to minimize the
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b. point G
c. point P
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How do I find the indicated value?
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Step-by-step explanation:
using this
t_n = a+ (n-1)d
crikey expression to show whether it is equivalent to 3 * 9 or to 2x3x9
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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
2x3x9= 9*3*2
Then find the values of x and y.
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Answer:
y = 4
x = 104°
Step-by-step explanation:
3y = y + 8
-y -y
2y÷2 = 8÷2
2y÷2 cancels out so
8 ÷ 2 = 4
y = 4
all sides are congruent so all angles are congruent so that means that all the angles are 104°
choose all of the points that are solutions to y<3x+2:
A. (0,0)
B. (0,2)
C. (1,4)
D. (1,7)
E. (2,6)
F. (2,8)
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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]
× D. (1, 7) [y < 3x + 2 → 7 < 5]
✓ E. (2, 6) [y < 3x + 2 → 6 < 8]
× F. (2, 8) [y < 3x + 2 → 8 < 8]
what is the meaning of equations
Answers
Answer:
I hope it helps u
Step-by-step explanation:
In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol(=) between two algebraic expressions that have the same value. ... In an algebraic equation, the left-hand side is equal to the right-hand side.
Mark me as brainlist answer,
have a nice day,
thank you
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)
To learn more about Coordinate Geometry, click:
brainly.com/question/7869125
#SPJ3
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
Please help! find the common ratio of the geometric sequence. -1/4, 1/16, -1/64, 1/256,... A. 1/64 B. -1/4 C. -1/16 D. 1/16 E. 1/4
Answers
Answer:
B -1/4
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...
[tex]r = \left(\text{3rd term}\right) \div \left(\text{2nd term}\right)\\\\r = -\frac{1}{64} \div \frac{1}{16}\\\\r = -\frac{1}{64} \times \frac{16}{1}\\\\r = \frac{-1*16}{64*1}\\\\r = -\frac{16}{64}\\\\r = -\frac{16}{16*4}\\\\r = -\frac{1}{4}\\\\[/tex]
Where r is the common ratio.
As another example, let's say we picked on term 4 and divided it over the third term
[tex]r = \left(\text{4th term}\right) \div \left(\text{3rd term}\right)\\\\r = \frac{1}{256} \div -\frac{1}{64}\\\\r = \frac{1}{256} \times -\frac{64}{1}\\\\r = \frac{1*(-64)}{256*1}\\\\r = -\frac{64}{256}\\\\r = -\frac{64}{64*4}\\\\r = -\frac{1}{4}\\\\[/tex]
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.
-------------
Because the common ratio is r = -1/4, this means that we multiply each term by the common ratio to generate the next term.
For instance,
term 3 = (term 2)*(common ratio)
term 3 = (1/16)*(-1/4)
term 3 = -1/64
which matches with the given sequence
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Answer: 240
Step-by-step explanation:
Given
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Answer:
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Step-by-step explanation:
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Answer:
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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
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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)
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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
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Answers
Answer:
Yes, Jason's work is correct.
Step-by-step explanation:
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Hope this helps!!
Answer:
The answer is A No, he changed the terms
Step-by-step explanation:
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
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X
Pema's bedroom is 18 feet long and 14 feet wide. She drew the plan below to
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Bed
Study
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1) 10 ft x 7 ft
70 S
sq ft
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Answers
Answer:
20 Queens
Step-by-step explanation:
4:5
8:10
12:15
16:20
or
4:5 = 1:1.25
1.25 x 5 = 20
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You enter a lottery. You pick three numbers
between 1 and 50. You win the grand prize if your
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you win?
Answers
Pls, help me with this question
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Answer:
37.5
Step-by-step explanation:
∠ABC (x) is an inscribed angle with arc AC being the arc it intercepts
An inscribed angle is equal to half the measure of its intercepted arc.
If arc AC = 75
Then x = [tex]75\frac{1}{2}[/tex]
75 / 2 = 37.5
Hence, x = 37.5
37.5 :)
I need to find the value of x
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Answer:
15°
Step-by-step explanation:
x= 89-44-30= 15°
:))
Solve for x. Round your answer to the nearest tenth.
14.
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11
X=
type your answer...
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Answer:
8.7
Step-by-step explanation:
14² - 11² = x
196-121= 75
√75= 8.66
so rounding it would be 8.7
The table represents an exponential function.
What is the multiplicative rate of change of the
function?
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1
2
y
2
2
5
2
25
2
125
3
4
02
05
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Answer:
1/5
Step-by-step explanation:
correct on edg :)
An exponential function is a nonlinear function
The multiplicative rate of change of the function is 1/5
From the table, we have the following ordered pairs
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Divide the y values, to calculate the rate (r)
[tex]r = \frac 25 \div 2[/tex]
This gives
[tex]r = \frac 15[/tex]
Hence, the multiplicative rate of change of the function is 1/5
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Tom made the box plots to compare the number of calories between his morning snacks and his afternoon snacks.
Select from the drop-down menu to correctly complete the statement.
The range of calories in Tom’s morning snacks is about ______ ______ the range of calories in his afternoon snacks.
Answer Choices:
a). 25 a). less than
b). 60 b). more than
c). 100
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Answers
Answer:
80 less than
Step-by-step explanation:
Type the missing number that makes these fractions equal:?/84=18/28
Answers
Answer:
la respuesta es 54/84
Step-by-step explanation:
54/84=0,642857
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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.
Create a scatter plot that represents the data that is shown in the table. The x-axis represents the beginning balance in thousands of dollars and the y-axis represents the change in the checking account in hundreds of dollars.
Name
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(in thousands of dollars)
Change in checking account
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Eli 3 2
Ken 1 5
Lara 8 4
Lindsey 3 8
Marie 4 2
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Answer:
:D
Step-by-step explanation:
:DDDD
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Find its dimensions.
(please no links)
Answers
12x8=96