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3 years ago

Which represents the solution(s) of the graphed system of equations, y = x2 + 2x – 3 and y = x – 1?

Mathematics

1 answer:

aev [14]3 years ago

7 0

Answer:

y = -4/3 x=-1/3

Step-by-step explanation:

y = x2 + 2x – 3 and y = x – 1

y= (y + 1)2 + 2(y + 1) - 3 and x= y+ 1

y= 2y + 2 + 2y +2 and x= y+ 1

-3y = 4 and x= y+ 1

y = -4/3 and x = (-4/3) + 1 = -1/3

x2 is x squared or x multiplied by two

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(x,-4) and (2,8): m = -3 find the missing value. it is in slope formula.

Snezhnost [94]

Answer:

The value of x = 6

Step-by-step explanation:

Given

The point (x,-4)

The point (2,8)

To determine

m = -3

Using the formula

Slope = m = [y₂ - y₁] / [x₂ - x₁]

here:

(x₁, y₁) = (x, -4)

(x₂, y₂) = (2, 8)

m = -3

so substitute (x₁, y₁) = (x, -4) , (x₂, y₂) = (2, 8) and m = -3

m = [y₂ - y₁] / [x₂ - x₁]

-3 = [8 - (-4)] / [2 - x]

-3 = [12] / [2-x]

-3 (2-x) = 12

-6+3x = 12

3x = 12+6

3x = 18

divide both sides by 3

3x/3 = 18/3

x = 6

Therefore, the value of x = 6

7 0

3 years ago

Reagan and Nathan are 40 miles apart on a bike trail when they start pedaling toward each other on their b bicycles. Reagan ride

irinina [24]

Answer:

They meet in 2.22 hours.

Step-by-step explanation:

We can find the time at which Reagan and Nathan meet by equaling the time as follows:

$v_{R} = \frac{x_{R}}{t}$

$x_{R} = v_{R}t$ (1)

$v_{N} = \frac{x_{N}}{t}$

$x_{N} = v_{N}t$ (2)

Where R is for Reagan and N for Nathan.

Knowing that:

$x_{R} + x_{N} = 40 mi$

By adding equations (1) and (2) we have:

$x_{R} + x_{N} = v_{R}t + v_{N}t$

$t = \frac{x_{R} + x_{N}}{|v_{R}| + |v_{N}|} = \frac{40 mi}{8 mi/h + 10 mi/h} = 2.22 h$

Therefore, they meet in 2.22 hours.

I hope it helps you!

4 0

3 years ago

Read 2 more answers

How to calculate the are of a shape

Ira Lisetskai [31]

This can vary, some shapes have different area formulas, here are some basic formulas I can give you:
Circle: A = $\pi$ $r^{2}$ Triangle: A = $\frac{h_{b} b}{2}$ Square: A = $a^{2}$ Rectangle: A = L*W

6 0

3 years ago

A child is 2 -1/2 feet tall. The child’s mother is twice as tall as the child. How tall is the child’s mother

Len [333]

Answer:

5 feet

Step-by-step explanation:

"Twice as tall" means "2 times as tall".

2 × (2 1/2 ft) = (2 × 2 ft) +(2 × (1/2 ft)) = 4 ft + 1 ft = 5 ft

The child's mother is 5 feet tall.

7 0

3 years ago

Read 2 more answers

The circumference of a circle is 12 what is the radius

allsm [11]

Answer:

Step-by-step explanation:

12/2=6

8 0

3 years ago

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