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noname [10]
3 years ago
14

How is the graph of y=(x-1)2-3 transformed to produce the graph of y-3(x+4)??

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
4 0

Step-by-step explanation:

How is the graph of y=(x-1)2-3 transformed to produce the graph of y-3(x+4)??

The graph is translated left 5 units, compressed vertically by a factor of 2, and translated up 3 units.

The graph is stretched vertically by a factor of Ź, translated left 5 units, and translated up 3 units.

O The graph is translated left 5 units, compressed horizontally by a factor of 3, and translated down 3 units.

O The graph is stretched horizontally by a factor of Ž, translated left 5 units, and translated down 3 units.

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the sum of three consecutive even integers is 36. Let X represent the first integer, x + 2 represent the second integer, and x +
ozzi

Answer:

see explanation

Step-by-step explanation:

Sum the 3 consecutive integers and equate to 36

x + x + 2 + x + 4 = 36

3x + 6 = 36 ( subtract 6 from both sides )

3x = 30 ( divide both sides by 3 )

x = 10

The 3 consecutive integers are

10, 10 + 2, 10 + 4, that is

10, 12, 14

7 0
3 years ago
christa went shopping for back to school clothes.Before the tax was added on, her total was $176. if the sales tax is 6% what wa
skelet666 [1.2K]
<span>Christa went shopping for back to school clothes.
She paid a total of 176 dollars before the tax was added on.
Now, how much will she be paying if the sales tax is 6% what was the total amount she paid.
Solutions:
=> 176 dollars * 6% to get the amount
=> 6% / 100% = 0.06
=> 176 dollars * .06 = 10.56
Now, let’s add to get the answer
=> 176 dollars + 10.56 dollars = 186.56 dollars</span>



7 0
3 years ago
Read 2 more answers
HELPPPP ME PLSSS DUE IN 10 MINS FOR 20 POINTS
sergiy2304 [10]

Answer: 3/5

Step-by-step explanation:

Probabilty of blue tiles: 12/20 =3/5

Probability of letter b tiles: 10/20= 1/2

How to get the denominator?

4+6=10

2+8=10

10+10=20

8 0
3 years ago
Read 2 more answers
Solve the following inequality: -20 &lt; 4 - 2x<br> A. 8 &gt;x<br> B. 8 C. 12 &gt; x<br> D. 12
Mama L [17]

Answer:

-20 < 4 - 2x (subtract 4 from both sides)

-24 < -2x (divide each side by -2)

12> x  (when you divide by a negative number, the inequality flips)

x< 12 ( I always put it so x is first)

so the answer is C

6 0
3 years ago
In October 2012, Apple introduced a much smaller variant of the Apple iPad, known as the iPad Mini. Weighing less than 11 ounces
nadya68 [22]

Answer:

a) 0.4286 = 42.86% probability that the battery life for an iPad Mini will be 10 hours or less

b) 0.2857 = 28.57% probability that the battery life for an iPad Mini will be at least 11 hours

c) 0.5714 = 57.14% probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours

d) 86 should have a battery life of at least 9 hours.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

The probability of being higher than x is:

P(X > x) = \frac{b - x}{b-a}

The probability of being between c and d is:

P(c \leq X \leq d) = \frac{d-c}{b-a}

Assume that battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours.

This means that a = 8.5, b = 12

a. What is the probability that the battery life for an iPad Mini will be 10 hours or less (to 4 decimals)?

P(X \leq x) = \frac{x - a}{b-a}

P(X \leq 10) = \frac{10 - 8.5}{12 - 8.5} = 0.4286

0.4286 = 42.86% probability that the battery life for an iPad Mini will be 10 hours or less.

b. What is the probability that the battery life for an iPad Mini will be at least 11 hours (to 4 decimals)?

P(X > x) = \frac{b - x}{b-a}

P(X > 11) = \frac{12 - 11}{12 - 8.5} = 0.2857

0.2857 = 28.57% probability that the battery life for an iPad Mini will be at least 11 hours

c. What is the probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours (to 4 decimals)?

P(c \leq X \leq d) = \frac{d-c}{b-a}

P(9.5 \leq X \leq 11.5) = \frac{11.5 - 9.5}{12 - 8.5} = 0.5714

0.5714 = 57.14% probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours.

d. In a shipment of 100 iPad Minis, how many should have a battery life of at least 9 hours (to nearest whole value)?

Proportion of iPad Minis with a battery life of at least 9 hours.

P(X > 11) = \frac{12 - 9}{12 - 8.5} = 0.8571

Out of 100:

0.8571*100 = 85.71

To the nearest whole number

86 should have a battery life of at least 9 hours.

5 0
3 years ago
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