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3 years ago

What is the slope of the line l described by the equation below? y=-2x+4

Mathematics

1 answer:

Masteriza [31]3 years ago

6 0

Answer:

The slope of the line would be -2.

Step-by-step explanation:

Because the equation is a line, the slope is the same throughout the entire graph on the equation.

Lets let f(x)=y=-2x+4.

f(0) = -2(0) + 4 = 4

f(0)=4

f(1) = -2(1) + 4 = 2

f(1)=2

Use the equation to find slope.

m(slope) = $\frac{2-4}{1-0}$ = $\frac{-2}{1}$ = -2

The slope would be -2.

Or:

Use the equation y = mx + b where m=slope.

In the equation y=-2x+4, m=-2.

The slope is -2.

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Does -2(z+3)-z=-z-4(z+2) have one,zero or infinite solutions

Andrew [12]

Hello from MrBillDoesMath!

Answer:

One solution (z = -1)

Discussion:

-2(z+3)-z=-z-4(z+2) =>

-2z -6 -z = -z -4z - 8 =>

-3z -6 = -5z -8 => add 6 to both sides

-2z = -5z -2 => add 5z to both sides

3z = -5z +5z -3 =>

3z = -3 =>

z = -1

Thank you,

MrB

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3 years ago

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MAVERICK [17]

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3 years ago

Find the maximum and minimum value of: 1/X plus 3x root X plus root (4-x)

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3 years ago

Douglas invests money in two simple interest accounts. He invests three times as much in an account paying 14% as he does in an

Rainbow [258]

Douglas invested $ 1300 altogether

Solution:

Let x represent the amount invested in the account paying 14% interest.

Let y represent the amount invested in the account paying 5% interest

He invests three times as much in an account paying 14% as he does in an account paying 5%

Which means,

x = 3y

The simple interest is given by formula:

$S.I = \frac{p \times n \times r}{100}$

Where,

"p" is the principal

"n" is the number of years

"r" is the rate of interest

He earns $152.75 in interest in one year from both accounts combined

Therefore,

Combined S.I = 152.75

n = 1 year

Considering the account earning 14% interest:

$S.I = \frac{3y \times 14 \times 1}{100}\\\\S.I = 0.42y$

Considering the account earning 5% interest:

$S.I = \frac{y \times 5 \times 1}{100}\\\\S.I = 0.05y$

Since, Combined S.I = 152.75

Therefore,

0.42y + 0.05y = 152.75

0.47y = 152.75

Divide both sides by 0.47

y = 325

Therefore,

x = 3y

x = 3(325)

x = 975

how much did he invest altogether?

Amount invested together = x + y = 975 + 325 = 1300

Thus he invested $ 1300 altogether

3 0

3 years ago

A small pizza at Little Italy pizzeria costs $9.25, and each topping is an additional $0.50. So the cost of ordering a pizza can

Vera_Pavlovna [14]

Answer:

Graph the equation is shown below.

Step-by-step explanation:

The linear equation representing the relation between cost of ordering a pizza and the number of additional toppings is:

$y=0.50x+9.25$

Here,

y = cost of the pizza

x = number of toppings

The graph of the linear equation is shown below.

Consider the point (2, 10.25).

When x = 2 compute the value of y as follows:

$y=0.50x+9.25\\=(0.50\times 2)+9.25\\=10.25$

The point (2, 10.25) satisfies the equation.

Again consider a point (18, 18.25).

When x = 18 compute the value of y as follows:

$y=0.50x+9.25\\=(0.50\times 18)+9.25\\=18.25$

The point (18, 18.25) satisfies the equation.

The two points are also plotted on the graph.

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3 years ago