Y=ax-b for the variable x

N January, the price of a dozen eggs at a grocery store was $0.89. By June, the price had increased to $0.99. What was the perce

Anika [276]

11.236% increase
hope this helped

3 0

3 years ago

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]

Part a) 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 $2$

Part b) 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 $2$

Part c) 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.

Prove algebraically

$A(10,10)$

substitute the value of x and y in the inequalities

inequality $1$

$10+10 \leq20$

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

inequality $2$

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

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

the point A satisfy both inequalities

therefore

the point A is a solution of the system

7 0

3 years ago

Solve for the value of x

mel-nik [20]

Well to find the value of x you need to get x alone. so you -1 from 3 and do 2/27 and your answer is 0.074

3 0

3 years ago

Explain how you can find the opposite of the opposite of any number without using a number line

liberstina [14]

Just make that number negative to find the opposite but the opposite of the negative number is going to be the original number again.

4 0

3 years ago

How do the key features of a polynomial function help you sketch its graph

puteri [66]

Answer: The degree will help you find the end behavior. The vertex shows you where it changes concavity.X and y intercepts give you a couple of points of reference. Axis of symmetry is only applicable to even degree polynomials.

Step-by-step explanation:

5 0

3 years ago