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Radda [10]
2 years ago
15

Please help me solve this question about transformation of graphs

Mathematics
1 answer:
Finger [1]2 years ago
3 0

Answer:

You can use modern calculaters for this.

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Find the equation of the linear function passing through (2,3) and (5,12)
Elis [28]

y = 3x - 3 is the equation of the linear function passing through (2, 3) and (5, 12)

<em><u>Solution:</u></em>

Given that we have to find the equation of linear function passing through (2, 3) and (5, 12)

The formula y = mx + b is said to be a linear function

Where "m" is the slope of line and "b" is the y - intercept

Let us first find the slope of line

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

\text {Here } x_{1}=2 ; y_{1}=3 ; x_{2}=5 ; y_{2}=12

Substituting values we get,

m=\frac{12-3}{5-2}=\frac{9}{3}=3

Thus slope of line is m = 3

To find the y - intercept, substitute m = 3 and (x, y) = (2, 3) in y = mx + b

3 = 3(2) + b

3 = 6 + b

b = 3 - 6

b = -3

Thus the required equation of linear function is:

Substitute m = 3 and b = -3 in formula

y = mx + b

y = 3x - 3

Thus the equation of linear function is found

6 0
3 years ago
A survey is being planned to determine the mean amount of time corporation executives watch television. A pilot survey indicated
Alja [10]

Answer:  554

Step-by-step explanation:

Formula we use to find the sample size :

n=(\dfrac{z_{\alpha/2}\cdot\sigma}{E})^2

Given : Standard deviation : \sigma=3\ hour

Margin of error : E=one quarter hour = 0.25 hour

Two-tailed , Critical value use for 0.95 degree of confidence:z_{\alpha/2}=1.96

i.e. n=(\dfrac{(1.96)\cdot(3)}{0.25})^2=553.1904\approx554

Hence, the required sample size = 554

i.e. 554 executives should be surveyed.

5 0
3 years ago
HELP PLEASE!!
Nana76 [90]

Answer:

#1

#2

#4

Step-by-step explanation:

even numbers are 3

3/6=1/2

1/2=1/2

1 or 5=2 numbers

2/6=1/3

1/3=1/3

numbers < 3 are 1 and 2

2 numbers

2/6=1/3

1/3 does not =1/2

2 or odd numbers are 2,1,3,5

4/6=2/3

2/3=2/3

3 0
4 years ago
A bag of m&amp;m's has 4 red, 7 green, 8 blue, and 6 yellow m&amp;m's. what is the probability of randomly pickinga blue or gree
bogdanovich [222]

Step-by-step explanation:

a probability is always desired cases over total possible cases.

the bag has 4 + 7 + 8 + 6 = 25.

so, when we pick a random M&M we have total 25 possible outcomes.

the desired cases are to pick a green or a blue M&M.

that means these are 7+8 = 15 cases.

the probability to pick one or of the desired cases is

15/25 = 3/5 = 0.6

3 0
2 years ago
The upper-left coordinates on a rectangle are (-1,4), and the upper-right coordinates are (3,4). The rectangle has a perimeter o
brilliants [131]

Answer:

The area would be 32

Step-by-step explanation:

Let's call the side lengths a and b, so then therefore a + b =  12

after this, we know that the length of a is 4, from the distance formula, and so the length of b is 8, so the area is 4*8 which is 32

3 0
3 years ago
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