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2 years ago

4 Amanda and Blake played a board game. In the game, Amanda had

Mathematics

1 answer:

ddd [48]2 years ago

6 0

The amount of money Blake have in the end is 3560 + (2740 - x)

In the game Amanda had $2740 in play money and Blake had $3560 in play money.

Amanda had to give some money she possessed.

Let

what remains after Amanda gave the money = x

Therefore, Blake will have the following money at the end .

The amount she gave to Blake = (2740 - x)

Blake money = 3560 + (2740 - x)

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Write in slope intercept form an equation of the line that passes through (-2,5),(-1,1)

Juliette [100K]

Answer:

y=-4x-3

Step-by-step explanation:

Hi there!

We are given the following two points: (-2,5) and (-1,1)

We want to write the equation of the line that passes through these two lines in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, let's find the slope

The formula for the slope (m) calculated from 2 points is $\frac{y_2-y_1}{x_2-x_1}$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are points

We have everything we need to calculate the slope, but let's label the value of the points to avoid any confusion

$x_1=-2\\y_1=5\\x_2=-1\\y_2=1$

Now substitute into the formula

m= $\frac{y_2-y_1}{x_2-x_1}$

m= $\frac{1-5}{-1--2}$
Simplify

m= $\frac{1-5}{-1+2}$

Subtract

m= $\frac{-4}{1}$

Divide

m=-4

Now substitute -4 as m into the equation:

y=-4x+b

Now we need to find b

As the equation passes through both (-2, 5) and (-1, 1), we can use either point to help solve for b.

Taking (-2,5) for example:

Substitute -2 as x and 5 as y:

5=-4(-2)+b

Multiply

5=8+b

Subtract 8 from both sides

-3=b

Substitute -3 as b.

y=-4x-3

Hope this helps!

See more on this topic here: brainly.com/question/27304092

4 0

2 years ago

Which equation represents the statement below?

Sergio [31]

The answer is option A

Step-by-step explanation:

Thirteen less than a number is written as

n - 13

Equate it to 42

We have

n - 13 = 42

Hope this helps you

3 0

3 years ago

What are the coordinates of the vertex of the function below write your answer in the form y-9= -6(x-1)^2

Oliga [24]

Answer:

The co-ordinates of the vertex of the function y-9= -6(x-1)^2 is (1, 9)

<u>Solution:</u>

Given, equation is $y-9=-6(x-1)^{2}$

We have to find the vertex of the given equation.

When we observe the equation, it is a parabolic equation,

We know that, general form of a parabolic equation is $y-9=-6(x-1)^{2}$

Where, h and k are x, y co ordinates of the vertex of the parabola.

$\text { Now, parabola equation is } y-9=-6(x-1)^{2} \rightarrow y=-6(x-1)^{2}+9$

By comparing the above equation with general form of the parabola, we can conclude that,

a = -6, h = 1 and k = 9

Hence, the vertex of the parabola is (1, 9).

7 0

3 years ago

1 kilometer equaks how many meters

AVprozaik [17]

Answer:

the answer is 1000 metres

3 0

3 years ago

Read 2 more answers

Which of the following is the graph of the solution set of t – 4 ≥ 4t + 8 or 3t >14 – 4t?

Stells [14]

Answer:

Option (C)

Step-by-step explanation:

There are two inequalities,

t - 4 ≥ 4t + 8 ------(1)

3t > 14 - 4t ------(2)

By simplifying inequality (1),

t - 4 ≥ 4t + 8

t ≥ 4t + 8 + 4

t ≥ 4t + 12

t - 4t ≥ 12

-3t ≥ 12

t ≤ $\frac{12}{(-3)}$

t ≤ -4

By solving inequality (2),

3t > 14 - 4t

3t + 4t > 14

7t > 14

t > $\frac{14}{7}$

t > 2

From the given graphs, Option (C) will be the answer.

4 0

3 years ago