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MissTica
2 years ago
10

The graph of y=|x|y=∣x∣y, equals, vertical bar, x, vertical bar is reflected across the xxx-axis and then scaled vertically by a

factor of \dfrac14 4 1 ​ start fraction, 1, divided by, 4, end fraction. What is the equation of the new graph?
Mathematics
2 answers:
krek1111 [17]2 years ago
8 0
Answer: y = - (1/4) |x|

Justification:

The statement is confusing, so I will re-write it to avoid confusions:
<span>
"The graph of y=|x| is reflected across the x-axis and then scaled vertically by a factor of 1/4. What is the equation of the new graph? "

Answer

Solution:

1) Reflection acros the x-axis means (a,b) transforms into (a, -b). That is for the given x the reflected function will return the negative of the original value, that is:

y = - |x|

2) Scaling by a factor of 1/4 means that the new function is multiplied by 1/4

=> y = - (1/4) |x| which is the answer
</span>
aivan3 [116]2 years ago
4 0

Answer:

y=-\frac{1}{4} |x|

Step-by-step explanation:

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weqwewe [10]
3 pounds of bananas cost $1.50
5 0
2 years ago
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Use the table and the data provided to analyze the following data. During gym class, the pulse rate was recorded for 19 students
nexus9112 [7]

Answer:

Part A

Please see attached the required stem and leaf plot

For the stem and leaf plot, the nonsplit system is used because of clarity for analysis

Part B:

From the shape of the stem and leaf plot we have that there is an average increase of pulse rate of 20 pulses in all the 19 students after the exercise

The shape of the plot is relatively the same for the before and after exercise save for the decrease in the third to the last row by one and the increase in the second to the last roe by one student

The spread remained relatively constant in both cases with the most being in the 60s range having 7 students in the before exercise and the 80s range having 8 students in the after exercise leaf plot.

Step-by-step explanation:

The given data are;

67{}                                    87

67{}                                    88

67 {}                                   89

68 {}                                   89

71 {}                                    91

72                                   93

72                                   93

75                                   95

77                                   96

77                                   97

79                                   98

81                                    98

85                                   101

87                                   105

87                                   105

91                                    119

97                                   125

103                                  125

121                                  147

3 0
2 years ago
A three-digit number ends in number 7. If you put the number 7 in the first position, the number will increase by 324. Find the
liq [111]

Answer:

<u>The original three-digit number is 417</u>

Step-by-step explanation:

Let's find out the solution to this problem, this way:

x = the two digits that are not 7

Original number = 10x+7

The value of the shifted number = 700 + x

Difference between the shifted number and the original number = 324

Therefore, we have:

324 = (700 + x) - (10x + 7)

324 = 700 + x - 10x - 7

9x = 693 - 324 (Like terms)

9x = 369

x = 369/9

x = 41

<u>The original three-digit number is 417</u>

5 0
2 years ago
The box office took in a total of $2905 in paid admissions for the high-school musical. Adult tickets cost $8 each, and student
Svet_ta [14]
There are no equations to choose from but it should look like the following.

a= # of adult tickets
s= # of student tickets

QUANTITY EQUATION
a + s= 560

COST EQUATION
$8a + $3s= $2905

***If you have to also solve for the number of adults and students, here are the steps.

STEP 1:
multiply quantity equation by -8

-8(a + s)= -8(560)
-8a - 8s= -4480

STEP 2:
add cost equation and step 1 equation

$8a + $3s= $2905
-8a - 8s= -4480
a term cancels out to zero
-5s= -1575
divide both sides by -5
s= 315 students

STEP 3:
substitute s=315 in quantity equation
a + s= 560
a + 315= 560
subtract 315 from both sides
a= 245 adults

ANSWER:
Quantity Equation
a + s= 560

Cost Equation
$8a + $3s= $2905

Hope this helps! :)
7 0
2 years ago
Hence explain how you know that x^2-8x+20 is always positive
Tasya [4]

If you complete the square you get

{(x - 4) }^{2}  + 4

and as any number squared is positive and 4 is positive, the result must be positive

6 0
2 years ago
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