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denis-greek [22]
3 years ago
14

Graph the function.

Mathematics
2 answers:
liubo4ka [24]3 years ago
5 0
The answer is totally D
kap26 [50]3 years ago
4 0

Answer:

The correct option is D.

Step-by-step explanation:

If a line passing through two points, then the equation of line is

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

From the given graph it is clear that the line is passing through the points (-1,2) and (0,-1), so the equation of line is

y-2=\frac{-1-2}{0-(-1)}(x-(-1))

y-2=-3(x+1)

y-2=-3x-3

y=-3x-3+2

y=-3x-1

The correct formula for the function is y=-3x-1, therefore the correct option is D.

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Which of the following expressions are equivalent? Justify your reasoning,
marshall27 [118]

Answer:

B and D

Step-by-step explanation:

B:

Anything to a negative power means that it is 1/that to the positive power.

E.g. x^-1 = 1/x^1

In other words, anything to the power of a negative switches sides of a fraction (i.e. if in numerator moves to denominator and vice versa.)

1/x^-1 = 1/1/x^1 which is just equal to x, because there are x number of 1/xs in one (1/x * x =1) Therefore Option B is equal to just x.

D: (assuming the first given term is x^1/3 and not X1/3 (?) Correct me if I'm wrong).

x^1/3 * x^1/3 * x^1/3 is also equal to just x.

This is because when multiplying together terms with the same base (x in this case) the exponents just add together, so:

x^1/3 * x^1/3 * x^1/3 = x^(1/3 +1/3 +1/3) = x^1 = x.

Therefore B and D are equivalent because they both equal x.

Hope this helped!

7 0
2 years ago
12 - C = –16<br> solve for C
inna [77]

Answer:

28

Step-by-step explanation:

1) subtract 12 from both sides

2) divide by negative 1

3 0
3 years ago
Read 2 more answers
Which of the following transformations will not always result in a congruent image?
Scorpion4ik [409]

Answer:

Step by step

A) Dilation

6 0
3 years ago
The data represents the number of runs allowed by 8 college softball pitchers. {18, 49, 38, 41, 33, 44, 42, 22}
lawyer [7]

This Question is incomplete

Complete Question:

The data represents the number of runs allowed by 8 college softball pitchers. {18, 49, 38, 41, 33, 44, 42, 22}

What is the five number summary:

a) Minimum

b) Q₁

c) Median

d) Q₃

e) Maximum

Answer:

a) Minimum = 18

b) Q₁ = 27.5

c) Median = 39.5

d) Q₃ = 43

e) Maximum = 49

Step-by-step explanation:

From the above diagram, we were given the following set of data.

{18, 49, 38, 41, 33, 44, 42, 22}

Before answering any of the questions, we have to rearrange the data from the lowest to the highest (ascending order). Hence, we have:

{18, 22, 33, 38, 41, 42, 44, 49}

a) Minimum

{18, 22, 33, 38, 41, 42, 44, 49}

Looking at this set of arranged data, the minimum number is the least or lowest number.

This number is 18

b) Q₁

{18, 22, 33, 38, 41, 42, 44, 49}

Q₁ means First Quartile. The formula is = ¼(n + 1)th value

n = Number of terms in the data set = 8

= ¼(8 + 1)th value

= ¼(9)th value

= 2 1/4 value

= 2.25 value

In the above Question, the 2.25 value is the value between the second and third number.

Hence:

22+33/2 = 55/2 = 27.5

Therefore, Q₁ = 27.5

c) Median

{18, 22, 33, 38, 41, 42, 44, 49}

The median of the number is the number in the middle

For this data, we have 8 number, Hence the median is the sum of the 4th and 5th term divided by 2

4th term = 38

5th term = 41

= 38 + 41/ 2 = 79/2

= 39.5

Hence, the median = 39.5

d) Q₃

{18, 22, 33, 38, 41, 42, 44, 49}

Q₃ means Third Quartile. The formula is = ¾(n + 1)th value

n = Number of terms in the data set = 8

= ¾(8 + 1)th value

= ¾(9)th value

= 6 3/4 value

= 6.75 value

In the above Question, the 6.75 value is the value between the sixth and seventh number.

Hence:

42+44/2 = 86/2 = 43

Therefore, Q₃ = 43

e) Maximum

{18, 22, 33, 38, 41, 42, 44, 49}

Looking at this set of arranged data, the Maximum number is the highest number.

This number is 49

6 0
3 years ago
ANSWER ALL PLEASEE NO EXPLANATION NEEDED! WILL GIVE BRAINLIEST FOR WHO EVER ANSWERS ALL OF THEM CORRECTLY!!!
adelina 88 [10]

Answer:

I only have the first two, sorry...

Step-by-step explanation:

Yes; 2/3

7 0
2 years ago
Read 2 more answers
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