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MrRissso [65]
2 years ago
10

Consider the functions f(x) = 12^x and g(x)= -2(12)^x. Which transformations must be applied to function F to produce the graph

of function g?
SELECT ALL CORRECT ANSWERS

Vertical stretch
Vertical Shift
Vertical Compression
Reflection over the x-axis
Horizontal Shift

Mathematics
1 answer:
maksim [4K]2 years ago
5 0

Answer:

Step-by-step explanation:

g(x) = -2f(x)

Vertical stretch                       by virtue of the factor 2

Reflection over the x-axis      by virtue of the factor -1

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You've been hired to plan a New Year's Eve party at the Governor's Mansion. The Mansion Charges: $1, 250 plus $20 per person.
trasher [3.6K]
I. 1250 + 20x = the cost of the party, x = the number of people attending.

II. If there are 300 people attending, the cost would be $7,250.

III. (attached) I'm not sure what kind of graph you're looking for, but I created a table. A represents the number of people attending. B represents the total cost.

IV. Daryl is incorrect. If there are 750 people attending, the total cost would be $16,250 because 750 multiplied by $20 (the cost per person) is $15,000. That plus $1,250 (the cost of the mansion) equals $16,250.

$16,250 does not equal $16,500.

5 0
3 years ago
PLEASE HELP I NEED ALOT O HELP IM DOING TEST AND NEED HELP John and Julia went out to dinner. Their dinner cost $42.00. They pai
seraphim [82]

Answer:

$8.40

Step-by-step explanation:

20% of 42 is 8.4.

7 0
2 years ago
Read 2 more answers
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balandron [24]

Answer:

B) 2\ sq.rt{3}units

Step-by-step explanation:

using Pythagoras theorem

a^2+ b^2=c^2

a^2+ 3^2=(√21)^2

a^2+9= 21

a^2=21-9

a^2=12

a=√12

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4 0
3 years ago
According to the U.S. Department of Agriculture, the average American consumed 54.3 pounds (ap- proximately seven gallons) of sa
sladkih [1.3K]

Answer:

a) 0.11%

b) 55.99%

c) 0.25%

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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.

Normally distributed with a mean of 54.3 pounds and a standard deviation of 14.5 pounds.

This means that \mu = 54.3, \sigma = 14.5

1. What percentage of Americans' annual salad and cooking oil consumption is less than 10 pounds?

The proportion is the pvalue of Z when X = 10. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{10 - 54.3}{14.5}

Z = -3.06

Z = -3.06 has a pvalue of 0.0011

0.0011*100% = 0.11%.

2. What percentage of Americans' annual salad and cooking oil consumption is between 35 and 60?

The proportion is the value of Z when X = 60 subtracted by the pvalue of Z when X = 35.

X = 60

Z = \frac{X - \mu}{\sigma}

Z = \frac{60 - 54.3}{14.5}

Z = 0.39

Z = 0.39 has a pvalue of 0.6517

X = 35

Z = \frac{X - \mu}{\sigma}

Z = \frac{35 - 54.3}{14.5}

Z = -1.33

Z = -1.33 has a pvalue of 0.0918

0.6517 - 0.0918 = 0.5599

0.5599*100% = 55.99%

3. What percentage of Americans' annual salad and cooking oil consumption is more than 95 pounds?

The proportion is 1 subtracted by the pvalue of Z when X = 95.

Z = \frac{X - \mu}{\sigma}

Z = \frac{95 - 54.3}{14.5}

Z = 2.81

Z = 2.81 has a pvalue of 0.9975

1 - 0.9975 = 0.0025

0.0025*100% = 0.25%

8 0
3 years ago
Brainliest if correct
Dmitriy789 [7]

Step-by-step explanation:

- 49x + 2.4 = 6 \\  - 49x = 6 - 2.4 \\  - 49x = 3.6 \\ x =  \frac{3.6}{ - 49}  \\ x =  -  \frac{18}{245}  =  - 0.0735

4 0
2 years ago
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