The functions f(x) and g(x) are shown on the graph.
f(x) = 11
What is g(x)?
10
у
g(x) = ?
f(x) = [X]
10
-5
10
-5
-10
A. g(x) = 1 1 - 3
B. g(x) = (x+31
C. g(x) = \x{ + 3
D. g(x) = 1x - 31
![The Functions F(x) And G(x) Are Shown On The Graph.f(x) = 11What Is G(x)?10g(x) = ?f(x) = [X]10-510-5-10A.](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/nJs5iVgv3nKprxWWQnnD5r60Ca921Qaz.png)
Answers
Explanation: got it right
The function g(x) is g(x) = Ix + 3I.
The correct option is B.
What is transformation on the graphs?The function provided by the basic function f(x) and the constant
g(x) = f(x - k),
horizontally moving the f(x) k unit coordinates may be drawn.
The shift's direction depends on the value of k. Specifically,
The base graph moves k units to the right if k > 0, and
The base graph moves k units to the left if k < 0.
Given that the parent function is f(x) = IxI.
From the definition,
the transformed function is moved horizontally to 3 units to the right.
So, the function is g(x) = Ix + 3I.
Therefore, g(x) = Ix + 3I.
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Related Questions
Answer each question about the following arithmetic series:
12 + 18 + 24 + 30 + . . . + 198
What is the value of the arithmetic series?
630
1,260
3,360
6,336
Answers
Answer:
(c) 3360
Step-by-step explanation:
Given
The above arithmetic series where:
[tex]T_1 = 12[/tex] --- first term
[tex]d = 6[/tex] --- the common difference (18 - 12 = 6)
[tex]T_n = 198[/tex] --- The last term
Required
The value of the series
First, we calculate n using:
[tex]T_n = T_1 + (n - 1)d[/tex]
This gives:
[tex]198 = 12 + (n - 1)*6[/tex]
Collect like terms
[tex]198 - 12 = (n - 1)*6[/tex]
[tex]186 = (n - 1)*6[/tex]
Divide both sides by 6
[tex]31 = (n - 1)[/tex]
Make n the subject
[tex]n = 31 + 1[/tex]
[tex]n=32[/tex]
The sum of the series is:
[tex]S_n= \frac{n}{2}(T_1 + T_n)[/tex]
So, we have:
[tex]S_n= \frac{32}{2}(12 + 198)[/tex]
[tex]S_n= \frac{32}{2}*210[/tex]
[tex]S_n= 16*210[/tex]
[tex]S_n= 3360[/tex]
A medical equipment industry manufactures x-ray machines. The unit cost C( the cost in dollars to make each x -ray machine) depends on the number of machines made. If x machines are made, then the unit cost is given by the function C(x)=0.2x^2-100x+31,146.what is the minimum unit cost.
Answers
Answer:
18,646
Step-by-step explanation:
>you can graph the equation on a calculator and see that the minimum is at the point (250, 18646) , so the minimum unit cost is 18,646
>you can use the first derivative to find the minimum
c'(x) = (0.2x²-100x+31,146)' = .4x -100
.4x-100= 0 , so x= 250
c(x=250) = 0.2(250)² -100*250 +31,146 =18,646
Using the proper terminology, how would you explain and visually demonstrate that this is not always the case.
Answers
Answer:
you drew to much on it
Step-by-step explanation:
5. Today, everything at a store is on sale. The store offers a 20% discount.
a. The regular price of a T-shirt is $18. What is the discount price?
b. If the regular price of an item is x dollars, what is the discount price in dollars?
C. The discount price of a hat is $18. What is the regular price?
Answers
Answer:
Step-by-step explanation:
20% = 20/100 = 0.2
The amount you need to pay for a T shirt is
Cost = original amount(100% - 20%)
Original amount = 18
100% - 20% = 80%
80% = 80 / 100 = 0.8
What this means is that you will pay 80% of the original cost.
Cost = 18*0.8
Cost = $14.40
Part B
Cost = 0.8 * x
Part C
Selling price = 0.8*Original Cost
Selling price = 18
18 = 0.8 * x
18/0.8 = x
x = 22.5
The original price was $22.50
Suppose that the weights of airline passenger bags are normally distributed with a mean of 49.02 pounds and a standard deviation of 3.83 pounds. a) What is the probability that the weight of a bag will be less than the maximum allowable weight of 50 pounds
Answers
Answer:
0.601 = 60.1% probability that the weight of a bag will be less than the maximum allowable weight of 50 pounds
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 49.02 pounds and a standard deviation of 3.83 pounds.
This means that [tex]\mu = 49.02, \sigma = 3.83[/tex]
What is the probability that the weight of a bag will be less than the maximum allowable weight of 50 pounds?
This is the p-value of Z when X = 50. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{50 - 49.02}{3.83}[/tex]
[tex]Z = 0.256[/tex]
[tex]Z = 0.256[/tex] has a p-value of 0.601.
0.601 = 60.1% probability that the weight of a bag will be less than the maximum allowable weight of 50 pounds
URGENT.. pls help NO links
Answers
Answer:
.83
Step-by-step explanation:
we want
(sports∩Senior)/Senior
we can see that sports∩senior= 25
and senior= 25+5+5=30
25/30= .83
3)
6 cm
5 cm
I
7 cm
5 cm
6 cm
Answers
Answer:
29
Step-by-step explanation:
Suppose f(x) = – 22 – 4x + 2 and g(x) =
42? +52 +5.
(f +9)(2) =
Answers
Answer:
[tex](f + g)(2) = 21[/tex]
Step-by-step explanation:
[tex]f(x) = -x^2 - 4x +2[/tex]
[tex]g(x) = 4x^2 + 5x + 5[/tex]
Required
[tex](f + g)(2)[/tex]
This is calculated as:
[tex](f + g)(2) = f(2) + g(2)[/tex]
Where:
[tex]f(2) = -2^2 - 4*2 +2 = -10[/tex]
[tex]g(2) = 4*2^2 + 5*2 + 5 = 31[/tex]
So:
[tex](f + g)(2) = f(2) + g(2)[/tex]
[tex](f + g)(2) = -10 + 31[/tex]
[tex](f + g)(2) = 21[/tex]
Of their first 18 games of the season, the
Chicago Cubs lost 4 games and won the
others. What percent of the games have
they won?
Answers
The percentage of the games the club has won is P = 77.78 %
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the total number of games = 18
The number of games they lost = 4
So , the number of games they won = 14 games
Now , the percentage of games they won = ( 14 / 18 ) x 100
On simplifying the equation , we get
A = 0.7778 x 100
A = 77.78 %
Hence , the percentage is 77.78 %
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in this sum, each letter stands for one of the digits 0 to 9
F O U R
+ O N E
= F I V E
can you replace the letters by digits to get s correct sum.( the first digit of a number cannot be zero so neither F nor O is zero)
Answers
Answer:
7 4 5 0
F O U R
+
4 8 1
O N E
=7 9 3 1
F I V E
Hope this is correct:)
find the value of 4th terms by using 3n-2
Answers
Answer:
Step-by-step explanation:
[tex]4^{th} term \ means \ n = 4\\\\3n - 2 = 3 \times 4 - 2 = 12 -2 = 10[/tex]
Factor.
x*2+11x+28
please give me the answer
Answers
Answer:
(x+4)(x+11)
Step-by-step explanation:
x^2+11x+28
What two numbers multiply to 28 and add to 11
4*7 =28
4+11
(x+4)(x+11)
Answer:
(x + 4)(x + 11)
I agree with wegner
bye
15 POINTS (08.01) The graph shows two lines, A and B.
How many solutions are there for the pair of equations for lines A and B? Explain your answer.
Answers
Construct an equation that has y = 8 as its solution. Use y on both sides of the equation.
Answers
Answer:
3y + 4 = 20 + y
Step-by-step explanation:
The equation that has y = 8 as its solution will be 3y + 4 = 20 + y.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
Given that Construct an equation that has y = 8 as its solution. The equation of the line will be:-
3y + 4 = 20 + y.
When we solve the equation we will get the value of y equal to 8.
3y + 4 = 20 + y.
3y - y = 20 - 4
2y = 16
y = 16 / 2
y = 8
Therefore, the equation that has y = 8 as its solution will be 3y + 4 = 20 + y.
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BRAINIST AND 10 POINTS
Answers
Answer:
I'm not positive but here are my calculations:
A cube is 1 unit per cube. 3+2+1=6 if you do 6x6 you come out with 36.
Hope this helped.
Điều kiện nf>=5;n(1-f)>=5 trong loại kiểm định giả thuyết " so sánh tỉ lệ tổng thể với số cho trước ", (với n là cỡ mẫu, f là tỉ lệ mẫu) có nghĩa là gì ?
Answers
Answer:
Step-by-step explanation:
I'm so confused, please help!
A family wants to purchase a house that costs $120,000. They plan to take out a $100,000 mortgage on the house and put $20,000 as a down payment. The bank informs them that with a 15-year mortgage their monthly payment would be $745.86 and with a 30-year mortgage their monthly payment would be $546.01. Determine the amount they would save on the cost of the house if they selected the 15-year mortgage rather than the 30-year mortgage.
Answers
9514 1404 393
Answer:
$62,308.80
Step-by-step explanation:
The total amount paid on the 15-year mortgage is ...
($745.86/mo)×(12 mo/yr)×(15 yr) = $132,254.80
The total amount paid on the 30-year mortgage is ...
(546.01/mo)×(12 mo/yr)×(30 yr) = $196,563.60
__
The amount saved by selecting the 15-year mortgage is the difference of these amounts:
$196,563.60 -132,254.80 = $62,308.80
_____
Additional comment
This problem statement has several numbers in it that are irrelevant to the question being asked. This is why you need to read and understand the given information, and also understand the question being asked.
Here, the total cost of the house will include the mortgage cost and the down payment. The down payment is the same in either case, so does not factor in when we subtract one total cost from the other. Any difference in cost is due only to the difference in loan cost.
What is 10% of 14???
Answers
Answer: 1.4
Step-by-step explanation:
Answer: 1.4
Step-by-step explanation:
14 x 0.1 = 1.4
(10% = 10/10 0= 0.1)
How fast was a driver going if it left skid marks that were 63 feet long on wet concrete? (The
coefficient of friction is 0.97)?
O 61 mph
31 mph
O 334 mph
43 mph
Answers
The required speed of the driver is 33.4 mph.
To determine how fast was a driver going and if it left skid marks that were 63 feet long on wet concrete. (The coefficient of friction is 0.97)?
What is speed?Speed is the ratio of distance traveled to time taken to travel that distance.
What is friction?Friction is defined as resistance force from one surface to the other between two solid materials caused by reciprocal movement is called friction. And the force applied is called friction force.
Since from given
f = 0.97
left skid marks that were 63 feet long on wet concrete.
d = 63 feets
g = 9.8
V = √( 2g * F * D )
V = √(2 * 9.8 * 0.97 * 63 )
V = 33.4mph
Thus, The required speed of the driver is 33.4 mph.
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HELP PLSSSSS!!!!! I WILL Give Brainlyist
Answers
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Answer:
[tex] \frac{5}{6} [/tex]Step-by-step explanation:
[tex] \frac{1}{6} + \frac{2}{3} [/tex][tex] \frac{1}{6} + \frac{2}{3} \times \frac{2}{2} [/tex][tex] \frac{1}{6} + \frac{2 \times 2}{3 \times 2} [/tex][tex] \frac{1}{6} + \frac{2 \times 2}{6} [/tex][tex] \frac{1 }{6} + \frac{4}{6} [/tex][tex] \frac{1 + 4}{6} [/tex][tex] \frac{5}{6} [/tex]Hope it is helpful...if f(x) = x^2 + 3x, and g(x) = 2x^2, what is g(f(-1))?
Answers
Answer: g
(
x
2
−
3
x
)
=
2
x
2
−
6
x
+
2
Step-by-step explanation:
The area of a rectangle is represented by 12n2 - 19n - 21. If the width is 3n - 7, which expression represents the perimeter?
A. 7n - 4
B. 7n+4
C. 14n -8
D. 14n +8
Answers
Answer:
C 14n - 8
Step-by-step explanation:
rectangle area = length×width = 12n²-19n-21
width = 3n-7
what do we need to multiply with width to get the full area expression ?
think : what do we need to multiply with 3n to get 12n² (4n)?
and what to multiply with -7 to get -21 (3)?
=> length = 4n+3
perimeter is 2×length + 2×width
p = 2(3n-7) + 2(4n+3) = 6n-14+8n+6 = 14n-8
6. The price of a necklace is four times that of a
bracelet. Let the price of the bracelet be $x.
(i) Express the price of the necklace in terms of x.
Answers
Answer:
The necklace is 4x.
Step-by-step explanation:
If the bracelet is x and the necklace is 4 times greater you would multiply the cost of the bracelet by 4. Meaning it would be X *4= 4x (x multiplied 4 times.)
What is 2/7 divided by 5/4? (No links)
Answers
Answer: 5/14
Step-by-step explanation:
PLEASE HELP ASAP !!!!!!!
Answers
Answer:
143º
Step-by-step explanation:
You want to find m<HBD
which is m<HBA minus m<BAD
180º minus 37º equals 143º
m<HBD is equal to 143º
Please give me brainliest
Can anyone who sees this answer my latest question?
I need help with it very soon.
Answer:
143 !
Step-by-step explanation:
Which of the following statements is not true regarding a 95% confidence interval for the mean of a population?
a. In 95% of all samples, the sample mean will fall within 2 standard errors of the true population mean.
b. If you add and subtract two standard errors to and from the sample mean, in 95% of all cases, you will have captured the true population mean.
c. In 95% of all samples, the true population mean will be within 2 standard errors of the sample mean.
d. 95% of the population values will lie within 2 standard errors of the sample mean.
Answers
Answer:
Hello There!!
Step-by-step explanation:
I believe the answer is b. If you add and subtract two standard errors to and from the sample mean, in 95% of all cases, you will have captured the true population mean.
hope this helps,have a great day!!
~Pinky~
The 95% confidence interval does not mean that b. If you add and subtract two standard errors to ... 95% of all cases,... captured the true population mean.
What is the 95% confidence interval for a population mean?It means that for any given number of samples, 95% of them will fall within 2 standard errors of the true mean of the population the sample is derived from.
Applying this confidence interval to the sample mean will not help you capture the true population mean which is why option B is incorrect as regards the 95% confidence interval for the population mean.
In conclusion, option B is correct.
Find out more on the 95% confidence interval at https://brainly.com/question/3191358.
What is the volume of a gift box in the shape of a rectangular prism that is 3.5 inches high, 7 inches long, and 6 inches wide
Answers
Answer:
147 cubic inches
Step-by-step explanation:
volume of the prism is length x breadth x height
3.5 x 7 x 6=147
Evaluate the inverse trigonometric function Sin^-1(-1). Give answers in both radians and degrees.
A) Sin^-1(-1) = -pi or -180°
B) Sin^-1(-1) = 3pi/2 or 270°
C) Sin^-1(-1) = pi or 180°
D) Sin^-1(-1) = -pi/2 or -90°
Answers
Answer:
B) Sin^-1(-1) = 3pi/2 or 270°
D) Sin^-1(-1) = -pi/2 or -90°
Step-by-step explanation:
Sine function:
The sine function is -1 at 270º(-90º), which is 3pi/2 = -pi/2.
Inverse sine:
The input of the inverse sine function is a value, and the output are the angles which have the sine equal to the input.
Sin^-1(-1)
Angles for which the sine are -1, that is 3pi/2 or 270° and -pi/2 or -90°. Thus, options B and D are correct.
how to calculate the circumference of a circle whose radius is 12cm
Answers
Answer:
75.4cm
Step-by-step explanation:
To calculate the circumference, you need the radius of the circle:
Multiply the radius by 2 to get the diameter.
Multiply the result by π, or 3.14 for an estimation.
That's it; you found the circumference of the circle.
Answer:
C ≈ 75.4 cm
Step-by-step explanation:
[tex]2\pi r[/tex]
2 × 3.14 × 12
C ≈ 75.4 cm
Help PLSSS!!!!! I will give brainlyest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: 17 1/2 or decimal form = 17.5
Step-by-step explanation: Hope this helped!
Answer:
17.5 Statues im pretty sure.
Step-by-step explanation:
7/8 divided by 1/20