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kati45 [8]
4 years ago
6

Transformation of functions

Mathematics
1 answer:
alukav5142 [94]4 years ago
8 0

Answer:

second one

Step-by-step explanation:

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Molly took part in a math quiz and scored 55 points on 30 questions. Of the questions, there were 3-point word problems, 2-point
seropon [69]

Answer:

3\ point\ word = 5

2\ point\ word = 15

1\ point\ word = 10

Step-by-step explanation:

Given

Represent

3-point word with T;

2-point with U and

1-point with V

U = 5 + V --- (1)

If total questions is 30, then

T + U + V = 30 --- (2)

If total points is 55, then

3T + 2U + V = 55 --- (3)

Substitute 5 + V for U in (2) and (3)

T + U + V = 30 --- (2)

T + 5 + V + V = 30

T + 5 + 2V = 30

T + 2V = 25 ---- (4)

3T + 2U + V = 55 --- (3)

3T + 2(5 + V) + V = 55

3T + 10 + 2V + V = 55

3T + 10 + 3V = 55

3T  + 3V = 55 - 10

3T  + 3V = 45

Divide through by 3

T + V = 15 ---- (5)

Subtract (5) from (4)

(T + 2V = 25 )- (T + V = 15)

T - T + 2V - V = 25 - 15

V = 10

Recall that:

U = 5 + V

U = 5 + 10

U = 15

Substitute 10 for V in (5)

T + V = 15

T + 10 = 15

T = 5

3 0
3 years ago
What is the approximate area of the circle show below​
zavuch27 [327]
C bc radius is 8 so 8 times 8 times pi
5 0
4 years ago
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Simplify 4 to the seventh power over 5 squared all raised to the third power.
Vedmedyk [2.9K]
4^21/5^6
Multiply the the powers through the parentheses.
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3 years ago
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Which function has a greater rate of change? Function A: x 1.5 2.5 3.5 4.5 5.5 y 5 0 –5 –10 –15 Function B: y = –4.5x + 15 Funct
expeople1 [14]

Answer:

Function A has a rate of change of -5 and Function B has a rate of change of -4.5, so Function B has a greater rate of

Step-by-step explanation:

Function A:

\begin{array}{cccccc}x & {1.5} & {2.5} & {3.5} & {4.5} & {5.5} \ \\ y & {5} & {0} & {-5} & {-10} & {-15} \ \end{array}

Function B:

y = -4.5x + 15

Required

Which has a greater rate of change

The rate of change of function A is calculated as thus:

m = \frac{y_2 - y_1}{x_2 - x_1}

Where:

(x_1,y_1) = (1.5,5)

(x_2,y_2) = (2.5,0)

So, we have:

m = \frac{0-5}{2.5 - 1.5}

m = \frac{-5}{1}

m = -5

For function B

The general function is:

y = mx + b

Where

m is the rate of change

By comparing y = mx + b to y = -4.5x + 15

m = -4.5

So, we have that:

Function A has a rate of -5; function B has a rate of -4.5.

By comparison: -4.5 is greater than 5

Hence, function B has a greater rate.

4 0
3 years ago
What is the awnser to -12/-4=
givi [52]

\frac{-12}{-4} is 3.

4 0
3 years ago
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