Answers
From the graph,
g(2) = 4 ( from the coordinate (2,4))
[ The green line represent the function g(x)]
f(2)= 0
[ The red line represent the function f(x)]
(g + ƒ)(2) = g(2)+f(2) = 4+0 = 4
OPTION A is the correct answer
Related Questions
Consider the following sets of sample data: A: 20,347, 20,327, 22,117, 21,762, 20,864, 20,102, 21,684, 20,063, 21,728, 21,580, 21,720, 20,920, 21,442, 20,766 B: 3.38, 4.64, 4.09, 3.93, 4.25, 4.63, 4.78, 4.25 Which of the above sets of sample data has the larger spread
Answers
Answer:
Data B
Step-by-step explanation:
Given the data :
A: 20347, 20327, 22117, 21762, 20864, 20102, 21684, 20063, 21728, 21580, 21720, 20920, 21442, 20766
B: 3.38, 4.64, 4.09, 3.93, 4.25, 4.63, 4.78, 4.25
The spread of a data gives the variation in the data values of a given sample.
To obtain which data has the larger spread, we obtain the coefficient of variation. Which is the ratio of the standard deviation and the mean of the dataset.
(Standard deviation / mean) * 100%
Using calculator :
Data A :
Mean, x = 21101.5714
Standard deviation, s = 700.28925
Coefficient of Variation :
(700.28925 / 21101.5714) * 100% = 3.32%
Data B :
Mean, x = 4.24375
Standard deviation, s = 0.457006955
Coefficient of Variation :
(0.457006955 / 4.24375) * 100% = 10.77%
10.77% > 3.32%
Hence. Data B has a larger spread
linar system in variables
-x-3y-2z=8,
-x+y+6z=,
x-9y-2z=4
Answers
Answer:
-x+y+6z=? You did not spcify so I just made it 0
x = -22/5, y = -4/5, z = -3/5
Step-by-step explanation:
Solve the following system:
{-x - 3 y - 2 z = 8 | (equation 1)
-x + y + 6 z = 0 | (equation 2)
x - 9 y - 2 z = 4 | (equation 3)
Subtract equation 1 from equation 2:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x+4 y + 8 z = -8 | (equation 2)
x - 9 y - 2 z = 4 | (equation 3)
Divide equation 2 by 4:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x+y + 2 z = -2 | (equation 2)
x - 9 y - 2 z = 4 | (equation 3)
Add equation 1 to equation 3:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x+y + 2 z = -2 | (equation 2)
0 x - 12 y - 4 z = 12 | (equation 3)
Divide equation 3 by 4:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x+y + 2 z = -2 | (equation 2)
0 x - 3 y - z = 3 | (equation 3)
Swap equation 2 with equation 3:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x - 3 y - z = 3 | (equation 2)
0 x+y + 2 z = -2 | (equation 3)
Add 1/3 × (equation 2) to equation 3:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x - 3 y - z = 3 | (equation 2)
0 x+0 y+(5 z)/3 = -1 | (equation 3)
Multiply equation 3 by 3:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x - 3 y - z = 3 | (equation 2)
0 x+0 y+5 z = -3 | (equation 3)
Divide equation 3 by 5:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x - 3 y - z = 3 | (equation 2)
0 x+0 y+z = -3/5 | (equation 3)
Add equation 3 to equation 2:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x - 3 y+0 z = 12/5 | (equation 2)
0 x+0 y+z = -3/5 | (equation 3)
Divide equation 2 by -3:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x+y+0 z = -4/5 | (equation 2)
0 x+0 y+z = -3/5 | (equation 3)
Add 3 × (equation 2) to equation 1:
{-x + 0 y - 2 z = 28/5 | (equation 1)
0 x+y+0 z = -4/5 | (equation 2)
0 x+0 y+z = -3/5 | (equation 3)
Add 2 × (equation 3) to equation 1:
{-x+0 y+0 z = 22/5 | (equation 1)
0 x+y+0 z = -4/5 | (equation 2)
0 x+0 y+z = -3/5 | (equation 3)
Multiply equation 1 by -1:
{x+0 y+0 z = -22/5 | (equation 1)
0 x+y+0 z = -4/5 | (equation 2)
0 x+0 y+z = -3/5 | (equation 3)
Collect results:
Answer: {x = -22/5, y = -4/5, z = -3/5
Complete the input-output table for the function y = 3x.
Input-Output table
Answers
Answer:
Y: 0, x:0
Y:1, x: 3
Y: 2, x: 6
Y: 3, x:9
Step-by-step explanation:
Plug in the x to get the y
4x-1divide by 2=x+7
what is x
Answers
just move the terms collect the terms calculate it, divide both sides !!
Please help!!! Urgent ….
Answers
9514 1404 393
Answer:
ΔWZT ~ ΔWXY
Step-by-step explanation:
Angle XWY and angle ZWT are vertical angles, so congruent.
The sides on either side of those angles are proportional:
WZ/WX = WT/WY
11/22 = 10/20 = 1/2
so, we can claim similarity by the SAS Theorem.
ΔWZT ~ ΔWXY
Solve the equation using the distributive property and properties of equality
3(x+6) = 18
What is the value of x?
6
7 1/2
14 1/2
30
Answers
Answer:
0
Step-by-step explanation:
3(x+6)=18
3x+18=18
3x=18-18
3x=0
3x/3=0/3
x =0
the ratio equivalent to 3:4.
Answers
Answer:
33:44
Step-by-step explanation:
4*11=44
3*11=33
IF YOU REALLY KNOW ABOUT THIS PLEASE HELP IT’S MY FINAL EXAM, leave it if you don’t..... The two triangles illustrated below are similar. What are the values of x and y?
Answer from A to D
Answers
Answer:
B
Step-by-step explanation:
the larger triangle is 4 times bigger.....so the measurements for the sides are multiplied by 4.
the shape however is the same ....so the internal angle will still be 83 degrees
the students in charge of the class booth at a carnival would like to earn $3 for every item they sell. they spent $55 for the materials to make the items. solve the inequality 3x-55_>65 which represents how many items they need to sell to make profit of at least $65
Answers
Answer:
x ≥ 40
Step-by-step explanation:
3x - 55 ≥ 65
combine like terms
3x ≥ 65 + 55
3x ≥120
divide both sides of the equation by 3
x ≥ 40
Kayla wants to fence in a rectangular dog pen that is 30 ft by 40 ft How would you use wha
you know about geometry to help her ensure that she has truly built a rectangular pen?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the dimension of the dog pen = 30 ft by 40 ft.
Using the knowledge of geometry, that know that a rectangle has been built, the area of the pen should be :
Area of rectangle = Length * width
Area = 40 * 30
Area = 1200 ft²
Perimeter of rectangle = 2(Length + width)
Perimeter = 2(40 + 30)
Perimeter = 2(70)
Perimeter = 140 feets
Hence, area of the pen should be 1200 ft² and its perimeter or fencing should measure 140 feets
I need help ASAP anyone
Answers
Answer:
90
Step-by-step explanation:
there is 6 sides of box
2 bigger and 4 smaller
area of bigger side is 5×5 = 25 this is the area of one side as we have 2 sides so are of both sides is 25 + 25 = 50
now come to the smaller sides ( we have 4 here)
are of one side is 2× 5 = 10
so are of all 4 sides is 10× 4 = 40
now we get area of 4 smaller sides and 2 bigger sides
total area of box is 40+ 50 = 90
hope you understand
In the figure below, YZA and YZX are right angles, XYZ and AYZ are
congruent, and XZ = 10. What is the length of ZA ?
Answers
Answer:
10
Step-by-step explanation:
Triangles AYZ and XYZ are congrunt, therefore AZ = XZ = 10
equation of the line that has a slope of - 1/2and passes through the points (4,5)
Answers
Answer:
y=-1/2x+7
Step-by-step explanation:
I think its that
Answer:
y = (1/2) x + 3
Step-by-step explanation:
The equation of linear functions is y = m x + b
In this case, we know m = 1/2 , and have point (4,5). We only need to find our y-intercept or b value.
What we can do is substitute what we know into our formula which will give us variable b, or the y-intercept. That will look like:
5 = (1/2) * 4 + b
5 = 2 + b
3 = b
So, the equation is y = (1/2) x + 3 :)
What is the value of (–7 + 3i) – (2 – 6i)?
–9 + 9i
–9 – 3i
–5 – 3i
–5 + 9i
Answers
Answer:
- 9 + 9i
Step-by-step explanation:
(- 7 + 3i) - (2 - 6i)
- 7 + 3i - 2 + 6i
- 7 - 2 + 9i
- 9 + 9i
-9+9i
please, this is the last time I'm asking, just help me with the Volume.
Answers
Answer: 4374
Step-by-step explanation:
If f (x)
6x – 6 , find f (-1)
Answers
Answer:
-12
Step-by-step explanation:
f (x)=6x – 6
Let x= -1
f(-1) = 6(-1) -6
= -6-6
= -12
Integers help me with this question
Answers
9514 1404 393
Answer:
5196 m
Step-by-step explanation:
The difference in elevation is found by subtracting one elevation from the other. Usually, we're interested in the positive difference, so we subtract the smaller number from the larger.
5040 -(-156) = 5040 +156 = 5196
The difference in elevation is 5196 meters.
please help me find the area
Answers
Answer:
320 square feet.
Step-by-step explanation:
For the moment, let's put the square back in place. That would make the length 16 + 8 = 24 and the width 16.
L = 24
W = 16
Area = L * W
Area = 24 * 16
Area = 384
Now the next step is to take out the square. It is 8 * 8 = 64
The area of the figure = 384 - 64 = 320 square feet, and that's the answer.
Answer:
320 in^2
Step-by-step explanation:
we need to find the area of this figure
Firstly divide above picture in two parts
1st figure = (16*16)in.
2nd figure = (8*8)in.
Area of 1st figure = 16*16 = 256 in^2
Area of 2nd figure = 8*8 = 64 in^2
Area of whole figure = ( 256 + 64 )in^2
= 320 in^2
what is the measure of <B, in degrees.
Answers
Answer:
32
Step-by-step explanation:
The base angles of the triangle are the same since the sides are the same
<C = 74
A+B+C = 180 since the sum of the angles of a triangle = 180
74+B+74=180
Combine like terms
148+B =180
B = 180-148
B = 32
Answer:
[tex]\text{A. }32^{\circ}[/tex]
Step-by-step explanation:
From the Isosceles Base Theorem, the two base angles of a isosceles triangle are equal. Therefore, [tex]\angle A=\angle C=74^{\circ}[/tex].
Since the sum of the interior angles of a triangle is always equal to 180 degrees, we can write the following equation:
[tex]\angle A+\angle B+\angle C=180[/tex]
Substitute [tex]\angle A=\angle C=74^{\circ}[/tex] into this equation to solve for [tex]\angle B[/tex]:
[tex]74+\angle B+74=180,\\\angle B=180-74-74=\boxed{32^{\circ}}[/tex]
Which of the following ordered pairs is a solution to the equation 4x+6y=12? Select all that apply. Select all that apply: (−3,4) (1,3) (−6,6) (−13,10) (0,2)
Answers
10t+[tex]\geq[/tex]130+3.5t
Answers
Answer:
The answer is [tex]t\geq 20[/tex].
Step-by-step explanation:
To solve the inequality, start by solving for the variable [tex]t[/tex].
To solve for the variable [tex]t[/tex], subtract [tex]3.5t[/tex] from both sides. The inequality will look like [tex]6.5t\geq 130[/tex].
Then, divide both sides by 6.5 in order to get the variable [tex]t[/tex] by itself. The inequality answer will look like [tex]t\geq 20[/tex].
The sum of triple a number and 5 is 40.
Answers
(all forms)
hope this helped !!
Please help me on this question. Thanks
Answers
Answer:
E. p - 7 + 7 = 22 + 7
Step-by-step explanation:
p - 7 + 7 = 22 + 7 ( -7 + 7 = 0)
p = 22 + 7
p - 7 = 22//
There are two packs of hyenas that live just outside of a small town in Harar, Ethiopia. Each night, the
packs fight to determine which pack can go through the city gate. The city provides unlimited food and
water to any hyenas that enter.
Is there competition taking place in the scenario? *
2 points
Yes
No
Answers
Answer:
yes
Step-by-step explanation:
the packs are fighting for a common goal against each other
so they are competing
ABC is a right angled triangle. if B = 90°, AC = 96 cm, C = 30°.
AB =
cm
Answers
Answer:
48 ANS.
MAY IT HELPED U
Determine the radius of a cone that has a volume of 155.521 cubic inches and a height of 9 inches.
Answers
Answer:The answer is 4.06
Step-by-step explanation:
Okay I am 98% sure my math could be wrong since I don’t know what the possible answers to the question are but this is what I got.
I need help with this
Answers
Base: 3 units
Height: 5 units
Area: 15 square units
([tex]A=b*h=3*5=15[/tex])
hope this helps :)
Change fraction ( 11/4) from an improper fraction to a mixed number.
Answers
Answer:
Have a nice day :)
Step-by-step explanation:
To convert 11/4 into a mixed number, we need to divide 11 by 4 and get the values of quotient and remainder after performing division. When we divide 11/4, we get 2 as the quotient and 3 as the remainder. Now use the calculator to convert the following improper fractions to mixed fractions: 45/6
if 2 newspapers cost 3 dollars how much does 1 newspaper cost
Answers
Answer:
x = 1.50
Step-by-step explanation:
We can use a ratio to solve
2 papers 1 paper
------------- = --------------
3 dollars x dollars
Using cross products
2x = 3*1
2x=3
Divide by 2
2x/2 = 3/2
x = 1.50
Answer:
$1.50
Step-by-step explanation:
example;
2/3=1.50
Have a great day <3
3. Two dice are rolled. What’s the conditional probability that both dice are 5’s if it’s known that the sum of points is divisible by 5?
Answers
Answer:
[tex]Pr =\frac{1}{3}[/tex]
Step-by-step explanation:
Given
[tex]S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)[/tex]
[tex](3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)[/tex]
[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)\}[/tex] --- sample space
First, list out all outcomes whose sum is divisible by 5
[tex]A = \{(4,6), (5,5),(6,4)\}[/tex]
So, we have:
[tex]n(A) = 3[/tex]
Next, list out all outcomes that has an outcome of 5 in both rolls
[tex]B = \{(5,5)\}[/tex]
[tex]n(B) =1[/tex]
The required conditional probability is:
[tex]Pr =\frac{n(B)}{n(A)}[/tex]
[tex]Pr =\frac{1}{3}[/tex]
