Mathematics: tell me if it is proportional Is y=-9x proportional?

tell me if it is proportional Is y=-9x proportional?, №8609187, 16.08.2020 13:21

Mathematics

In each table, y and x are in a proportional relationship. Select the table with a constant of proportionality of –3. A. x is 1 2 3. y is -3,-6,-9 B. x is 1, 2, 3. y is -1, -2, 0 C. x is 1, 2, 3. y is -3, -3, -3 D. x is 1, 2, 3. y is -3, -3/2, -1

Step-by-step answer

P Answered by PhD

Hii! the answer is C.

Step-by-step explanation:

I did the quiz and got it right!

Mathematics

Pleae 1) divide. 4 ÷ 4/9 a) 9 b) 4 c) -9 d) 19 2) give the range of the relation. | x | y | | 4 | 3 | | 8 | 6 | | 12 | 9 | | 16 | 12 | a) {4, 12} b) {4, 3} c) {4, 8, 12, 16} d) {3, 6, 9, 12} 4) solve for g. 2g/5 + 4 = 8 type your answer as an integer, like this: 17 a) g = -30 b) g = -10 c) g = 30 d) g = 10 5) the value of y varies directly with x, and y = 21 when x = 7. find y when x = 4. type your answer as an integer, like this: 58. 6) determine whether the ratios are proportional. 10/12 , 15/18 a) yes b) no 7) select which two transformations

Step-by-step answer

P Answered by Specialist

3

Hello!

Question 1: Divide 4 ÷ $\frac{4}{9}$ . Dividing a fraction is the same as multiplying its reciprocal.

$4 * \frac{9}{4} = \frac{36}{4} = 9$ . The answer is A, 9.

Question 2: Find the range of the relation.

The range is the set of y-values. So therefore, we can list the y-values. From the given table: 3, 6, 9 and 12 are the y-values.

So therefore, the answer is D, {3, 6, 9, 12}.

Question 4: Solve for g. 2g/5 + 4 = 8

2g / 5 + 4 = 8 (subtract -4 from both sides)

2g / 5 = 4 (multiply both sides by 5)

2g = 20 (divide both sides by 2)

g = 10

Therefore, the answer is D, g = 10.

Question 5: The value of y varies directly with x, and y = 21 when x = 7. Find y when x = 4.

This statement says that y = kx, and in this case, we need to find k.

21 = k · 7 (divide both sides by 7)

k = 3 | Since we have k, we can substitute the value of k into the equation, y = kx.

y = 3x | Thus, we can find the value of y.

y = 3(4) → y = 12

Therefore, when x = 4, y = 12.

Question 6: Determine whether the ratios are proportional. 10/12 and 15/18

Proportions are an equation stating that two proportions are equal. So, we need to prove that 10/12 and 15/18 are proportionate to each other by simplifying the two ratios into simpler terms.

10/12 → 5/6 | 15/18 → 5/6

Since the ratios are equal, they are proportions of each other.

Question 7: Select which two transformations occur from the graph f(x) to the graph g(x). Be sure to select two answers.

f(x) = -3x and g(x) = -x + 1

Since a > 1, the graph of f(x) has a vertical stretch by a factor of 3, causing it to be steeper. While the graph of g(x) has no vertical stretch, causing it to be less steeper than f(x). Also, the graph of f(x) and g(x) is reflected. But, the graph of g(x) is translated 1 unit up.

So therefore, the answer is B, rotate about (0, 0) ; less steep, and C, translate 1 unit up.

Question 8: Choose the correct solution for k. When, (k + 7) / 5 > 6.

(k + 7) / 5 > 6 (multiply both sides by 5)

k + 7 > 30 (subtract both sides by 7)

k > 23

Hence, the answer is D, k > 23.

Question 9. -5/6 ÷ 1 2/3

To make the process more simple, we can convert 1 2/3, a mixed fraction, into 5/3, an improper fraction. As before, dividing by fractions is like multiplying its reciprocal.

-5/6 ÷ 5/3

-5/6 · 3/5

-15 / 30

-1/2 or -0.5

Therefore, the answer is -1/2 or -0.5.

Mathematics

Pleae 1) divide. 4 ÷ 4/9 a) 9 b) 4 c) -9 d) 19 2) give the range of the relation. | x | y | | 4 | 3 | | 8 | 6 | | 12 | 9 | | 16 | 12 | a) {4, 12} b) {4, 3} c) {4, 8, 12, 16} d) {3, 6, 9, 12} 4) solve for g. 2g/5 + 4 = 8 type your answer as an integer, like this: 17 a) g = -30 b) g = -10 c) g = 30 d) g = 10 5) the value of y varies directly with x, and y = 21 when x = 7. find y when x = 4. type your answer as an integer, like this: 58. 6) determine whether the ratios are proportional. 10/12 , 15/18 a) yes b) no 7) select which two transformations

Step-by-step answer

P Answered by Master

3

Hello!

Question 1: Divide 4 ÷ $\frac{4}{9}$ . Dividing a fraction is the same as multiplying its reciprocal.

$4 * \frac{9}{4} = \frac{36}{4} = 9$ . The answer is A, 9.

Question 2: Find the range of the relation.

The range is the set of y-values. So therefore, we can list the y-values. From the given table: 3, 6, 9 and 12 are the y-values.

So therefore, the answer is D, {3, 6, 9, 12}.

Question 4: Solve for g. 2g/5 + 4 = 8

2g / 5 + 4 = 8 (subtract -4 from both sides)

2g / 5 = 4 (multiply both sides by 5)

2g = 20 (divide both sides by 2)

g = 10

Therefore, the answer is D, g = 10.

Question 5: The value of y varies directly with x, and y = 21 when x = 7. Find y when x = 4.

This statement says that y = kx, and in this case, we need to find k.

21 = k · 7 (divide both sides by 7)

k = 3 | Since we have k, we can substitute the value of k into the equation, y = kx.

y = 3x | Thus, we can find the value of y.

y = 3(4) → y = 12

Therefore, when x = 4, y = 12.

Question 6: Determine whether the ratios are proportional. 10/12 and 15/18

Proportions are an equation stating that two proportions are equal. So, we need to prove that 10/12 and 15/18 are proportionate to each other by simplifying the two ratios into simpler terms.

10/12 → 5/6 | 15/18 → 5/6

Since the ratios are equal, they are proportions of each other.

Question 7: Select which two transformations occur from the graph f(x) to the graph g(x). Be sure to select two answers.

f(x) = -3x and g(x) = -x + 1

Since a > 1, the graph of f(x) has a vertical stretch by a factor of 3, causing it to be steeper. While the graph of g(x) has no vertical stretch, causing it to be less steeper than f(x). Also, the graph of f(x) and g(x) is reflected. But, the graph of g(x) is translated 1 unit up.

So therefore, the answer is B, rotate about (0, 0) ; less steep, and C, translate 1 unit up.

Question 8: Choose the correct solution for k. When, (k + 7) / 5 > 6.

(k + 7) / 5 > 6 (multiply both sides by 5)

k + 7 > 30 (subtract both sides by 7)

k > 23

Hence, the answer is D, k > 23.

Question 9. -5/6 ÷ 1 2/3

To make the process more simple, we can convert 1 2/3, a mixed fraction, into 5/3, an improper fraction. As before, dividing by fractions is like multiplying its reciprocal.

-5/6 ÷ 5/3

-5/6 · 3/5

-15 / 30

-1/2 or -0.5

Therefore, the answer is -1/2 or -0.5.

Mathematics

Anthony received $150 for his birthday this year. This was $10 less than half the amount he received last year. How much money did Anthony receive for his birthday last year?

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P Answered by PhD

The answer is in the image