MATHEMATICS HIGH SCHOOL

The line passes through the points (x1, y1) and (x2, y2). The slope of the line is: a) x2−x1y2−y1 b) y2−y1x2−x1 c) x1−x2y1−y2 d) y1−y2x1−x2

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

the slope m of a line passing through (x₁, y₁ ) and (x₂, y₂ ) is

m = $\frac{y_{2-y_(1) } }{x_(2)-x_(1) }$ ← slope formula

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Shawn and Dorian rented bikes from two different rental shops. The prices in dollars, y, of renting bikes from the two different shops for x hours is shown. Shop Shawn used: y = 10 + 3.5x Shop Dorian used: y = 6x If Shawn and Dorian each rented bikes for the same number of hours and each paid the same price, how much did each pay for the rental?

Answers

You need to find the solution to the system of equations:

y = 10 + 3.5x
y = 6x

Then, both right sides are equal to each other:

6x = 10 +3.5x

6x - 3.5x = 10

2.5x = 10

x = 10/2.5 = 4

And:

y = 6(4) = 24.

Answer: They both rented the bikes for 4 hours and paid $ 24.

If you would like to know how much did each pay for the rental, you can calculate this using the following steps:

y = 10 + 3.5 * x
y = 6 * x
_____________
10 + 3.5 * x = 6 * x
10 = 6 * x - 3.5 * x
10 = 2.5 * x
x = 10 / 2.5
x = 4 hours

y = 6 * x = 6 * 4 = 24 dollars

y = 10 + 3.5 * x = 10 + 3.5 * 4 = 24 dollars

They both paid 24 dollars for 4 hours.

Can somebody help me answer this question whoever gets it right will get branlist !

Answers

Answer: x=17

Step by Step:

A Man is redecorating his bedroom .he can choose from 5 paint colors 6 beds and 5 dressers how many ways can he choose to design his room

Answers

$5_((paint\ colors))\ \cdot\ 6_((beds)) \ \cdot\ 5_((dressers))=150_((chooses)) \n\nAns.\ 150\ chooses.$

He has 150 ways to choose from

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

Answers

When you substitute 0 for the exponent x, the expression simplifies to a times 1, which is just a. This is because any number to the 0 power equals 1. Since the initial value is the value of the function for an input of 0, the initial value for any function of this form will always be the value of a.

Answer:Sample Response: When you substitute 0 for the exponent x, the expression simplifies to a times 1, which is just a. This is because any number to the 0 power equals 1. Since the initial value is the value of the function for an input of 0, the initial value for any function of this form will always be the value of a.

Step-by-step explanation:

Solve for X in 5x/10=2

Answers

5x=2*10
5x=20
x=20/5
x=4

Given Equation: 5x/10 = 2.
Steps:

Step 1: Multiply both sides of the equation by the L.C.M of the numerators of both sides of the equation ( 10 and 1). L.C.M is 10

(5x/10).10 = 2x10

5x = 20

Step 2: Divide both sides by the co-efficient of x i.e.5

(5x)/5 = 20/5

x = 4

I hope this helps

Solve the equationin x =-3
A.x=?

(Round to five decimal places as needed. Use a comma to separate answers as needed.)

B.The solution is the empty set.