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3 years ago

5

The graph of y = 1 x is vertically stretched by a factor of 3, reﬂected across the y-axis and shifted to the left by 2 units. Wh

at is the function of the resulting graph? A) y = 3 x − 2 B) y = −3 x + 2 C) y = 1 3x − 6 D) y = −1

1 answer:

galben [10]3 years ago

8 0

y = 3(-x - 2)

Any horizontal transformations or reflections you make to y = x must be within the parentheses.

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Jeanne babysits for $6 per hour. She also works as a reading tutor for $10 per hour. She is only allowed to work 20 hours per we

Ksenya-84 [330]

<u>Part a)</u> Use a system of inequalities to model the scenario

Let

x-------> represent babysitting hours

y-------> represent tutoring hours

we know that

$x+y \leq20$ --------> inequality $1$

$6x+10y \geq 75$ --------> inequality $2$

<u>Part b)</u> Use the model created in part A to create a graph representing Jeanne’s probable income earned and possible number of hours worked this week

we know that

$x+y \leq20$ --------> inequality $1$

This inequality represent Jeanne’s possible number of hours worked this week

Using a graph tool

the solution of this inequality is the shaded area

see the attached figure N $1$

$6x+10y \geq 75$ --------> inequality $2$

This inequality represent Jeanne’s probable income earned this week

Using a graph tool

the solution of this inequality is the shaded area

see the attached figure N $2$

<u>Part c)</u> Analyze the set of coordinate values that represent solutions for the model created in part A. Choose one of the coordinates within the solution and algebraically prove that the coordinate represents a true solution for the model

we have the system of inequalities

$x+y \leq20$ --------> inequality $1$

$6x+10y \geq 75$ --------> inequality $2$

the solution of the system of inequalities is the shaded area

using a graph tool

see the attached figure N $3$

Let

$A(10,10)$ ------> see the attached figure N $3$

The point belongs to the shaded area, so it is a system solution.

If the point is a solution, it must satisfy both inequalities.

<u>Prove algebraically </u>

$A(10,10)$

substitute the value of x and y in the inequalities

<u>inequality $1$ </u>

$10+10 \leq20$

$20 \leq20$ ------> is ok

<u>inequality $2$ </u>

$6*10+10*10 \geq 75$

$160 \geq 75$ -------> is ok

the point A satisfy both inequalities

therefore

the point A is a solution of the system

7 0

3 years ago

Plz I need help!!! will give brainlyyyyy

lawyer [7]

Y= 4.5 because the length is less than 6=x.

3 0

2 years ago

mindy is 3 years older than two times her brother jake’s age. let j represent jake’s age and m represent mindy's age. which equa

horrorfan [7]

Okay so, it would be

<span>2*j+3 = m
( jake's age times 2 in order to represent being 2 years older, however... Mindy is 3 more years old than the product of that expression. This would add 3.)
</span>
So, C? m = 2j + 3

7 0

3 years ago

Read 2 more answers

2. Find the measure of each angle.

Lostsunrise [7]

Is there suppose to be an image? How can anyone answer this question without knowing the angle?

8 0

3 years ago

The answer to number 8

dmitriy555 [2]

The number 8 is a rational, even and positive integer. It is also referred to as a composite number, or a nonprime, since it is divisible by factors other than 1 and itself. The number 8 also contains the factor pairs of 1 and 8 and 2 and 4. Another related characteristic of the factors of 8 is that its distinct prime factor is 2, which is the prime number that divides 8 evenly.

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2 years ago