MATHEMATICS HIGH SCHOOL

Berta determined that the solution is (–2, 3). Which could have been the equation Berta found in step 1? 4x = 0 5x = 10 5x = –10 5x = –25

Answers

Answer 1
Answer:

The equation that Berta determined could be 5x = - 10.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Berta determined that the solution is (- 2, 3).

From the given options the only x-coordinate value satisfying is

5x = - 10.

As at x = - 2.

5(-2) = - 10.

- 10 = - 10.

The solution (- 2, 3) can also be called as an ordered pair.

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Answer 2
Answer:

Answer:

Answer is 5x=-10

Step-by-step explanation:

I just did the assignment.

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Select the algebraic definition for the piecewise function graph.A. 2B. 4C. -3 is equal to x <-1D. -1 is equal to x <1E. 0F. 1 is equal to x<3G. -2 is equal to x<5H. -3 is equal to x<3I. 3

Please help me! You are offered a job as a sales professional. You are offered a monthly base (fixed) salary of $1,000 plus 30% of the total sales you make for the month.

1) Write a linear function that represents your monthly income.

2) What is the slope? What does it mean in this context?

3) What is the y-intercept? What does it mean in this context?

4) BONUS (1 pt) If you sell $5,000 worth of product, what is your monthly income?

Answers

Answer:

1) y = 0.3x + 1000

2) slope = 0.3

The slope is the fraction of the monthly sales that is added to your salary.

3) y-intercept = 1000

The y-intercept is the fixed part of the salary, $1000.

4) The salary is $2500

Step-by-step explanation:

1)

monthly salary = fixed part + variable part

The fixed part is $1000. Every month you receive $1000 no matter the amount of sales.

The variable part varies according to the amount of sales. You get 30% of the of the monthly sales. Let the monthly sales be x. The variable part is 0.3x

Let the monthly salary = y.

y = 1000 + 0.3x

y = 0.3x + 1000

2)

slope = 0.3

The slope is the fraction of the monthly sales that is added to your salary.

3)

y-intercept = 1000

The y-intercept is the fixed part of the salary, $1000.

4)

In this case, x = 5000

y = 0.3x + 1000

y = 0.3(5000) + 1000

y = 1500 + 1000

y = 2500

The salary is $2500.

Explain why the initial value of any function of the form f(x) = a(bx) is equal to a.

Answers

So the said problem asking to explain or justify why the initial value of any function of the form f(x) = a(bx) is equal to a. For me I won't agree with the said question, the said function is determine through the value of X because it is the undefined value in the equation that is needed to be define. I hope this would help 

A relay race covers a distance of 8.4 each team member is expected to run 1.2 how many runners will be needed to cover the complete distance

Answers

8.4/1.2=7
so there would have to be 7 runners

Consider the following pair of equations: −x − y = −5
y = x + 1

If the two equations are graphed, at what point do the lines representing the two equations intersect?

(−2, 3)

(3, −2)

(2, 3)

(3, 2)

Answers

-x - y = -5
y = x + 1

-x -(x +1) = -5
-x -x -1 = -5
-2x = -5 + 1
-2x = -4
x = -4/-2
x = 2

y = x + 1
y = 2 + 1
y = 3

(2,3)  Third Option

A car travels 180 miles in 3 hours, which is a rate

Answers

The rate at which the car is traveling is 60 miles per hour when a car travels 180 miles in 3 hours .

The rate of a car's travel is calculated by dividing the distance traveled by the time taken. In this case, the car travels 180 miles in 3 hours .

Rate = Distance / Time

Rate = 180 miles / 3 hours

Rate = 60 miles per hour

So, the rate at which the car is traveling is 60 miles per hour. This means that the car covers a distance of 60 miles in one hour of travel .

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Answer:

it is 60 miles per hour

Step-by-step explanation:

There are 2,100 bacteria in a circular petri dish. The dish has a radius of 40 millimeters. What is the approximate population density? (Use 3.14 for π)

Answers

A petri dish is simply a circle; thus, we use the formula of the area of the circle which is πr^2. 
Given r = 40 mm
A = π(40)^2 = 5026.55 sq. mm

Population density = bacteria count / area
PD = 2,100 / 5026.55
PD = 0.417782 bacteria / mm sq.

Therefore, the answer is approximately 0.418 bacteria per square millimeter.
Determine the area of the circular petri dish through the equation, A = πr^2. Substituting the radius to the equation and solving for area gives, 5024 mm^2. The population density is obtained by dividing the population with the calculated area. Thus, the population density is approximately 0.418 bacteria per mm^2. 
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