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3 years ago

State the slope and y intercept of the equation for these 3 questions

Mathematics

1 answer:

andrey2020 [161]3 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

(1)

y = 3x + 4 is in this form

with slope m = 3 and y-intercept c = 4

(2)

y = - $\frac{3}{7}$ x - $\frac{1}{7}$ is in this form

with slope m = - $\frac{3}{7}$ and y-in tercept c = - $\frac{1}{7}$

(3)

rearrange 3x + y = - 4 into slope-intercept form

subtract 3x from both sides

y = - 3x - 4 ← in slope-intercept form

with slope m = - 3 and y-intercept c = - 4

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Factor : - y- 8 Answer?

ella [17]

Answer: -( y + 8)

Step-by-step explanation:

6 0

3 years ago

determine the equation of the parabola (simplified) with roots -3+sqrt6 and -3-sqrt6, and passing through the point (-1,4)

klio [65]

Given:

Roots:

$\begin{gathered} -3+\sqrt[]{6} \\ -3-\sqrt[]{6} \end{gathered}$

Point: (-1,4)

To determine the equation of the parabola with the given roots and point, we find the missing values first.

Since the roots are given, we can say that the equation is:

$y=a(x+3-\sqrt[]{6})(x+3+\sqrt[]{6})$

Next, we expand the terms.

$y=a(x^2+6x+3)$

Then, we plug in x= -1, and y=4 into the equation to get the value of a.

$\begin{gathered} y=a(x^2+6x+3) \\ 4=a((-1)^2+6(-1)+3) \\ \text{Simplify and rearrange} \\ 4=a(-2) \\ a=\frac{4}{-2} \\ a=-2 \end{gathered}$

So,

$undefined$

6 0

2 years ago

Write the coefficient of x² in X/3 (6x-1/2)

Igoryamba

Answer:

The coefficient of x² in the expression is 2

x/3(6x-1/2) = 6x²/3 - x/6

= 2x² - x/6

Hope this helps

7 0

3 years ago

Read 2 more answers

You need to buy some chicken for dinner tonight. You found an ad showing that the store across town has it on sale for $3.19 a p

SSSSS [86.1K]

Answer:

Yes, it is worth the extra drive, going to the further store is cheaper.

The cheaper option saves you $0.89.

Step-by-step explanation:

1.) Neighborhood store

It is 2.4 miles away

The car averages about 25 miles per gallon, then you would need:

2.4 miles / (25 miles/gallon) = 0.096 gallons of gas < 13 gallons (Ok)

The gas is about $3.89/gallon, then the gas would cost:

0.096 gallons * ($3.89/gallon) = $0.37344 = $0.37

The chicken is sold for $3.49 a pound, and you need 6 pounds, then you would pay:

6 pounds * ($3.49/pound) = $20.94

In total you would need:

$0.37 (gas) + $20.94 (chiken) = $21.31 if you buy the chicken in the neiborhood store

2.) Store acroos town

It is 8.2 miles away

The car averages about 25 miles per gallon, then you would need:

8.2 miles / (25 miles/gallon) = 0.328 gallons of gas < 13 gallons (Ok)

The gas is about $3.89/gallon, then the gas would cost:

0.328 gallons * ($3.89/gallon) = $1.27592 = $1.28

The chicken is sold for $3.19 a pound, and you need 6 pounds, then you would pay:

6 pounds * ($3.19/pound) = $19.14

In total you would need:

$1.28 (gas) + $19.14 (chiken) = $20.42 if you buy the chicken in the store across town

$20.42 < $21.31, then it is worth the extra drive, going to the further store is cheaper.

The cheaper option saves you: $21.31-$20.42=$0.89

8 0

3 years ago

An equation with more than one operation is called

FinnZ [79.3K]

An equation with more than one operations can be also called several-step equation, because requires multiple operations to be solved.There is a order which operation you should do first. The equation can be solved in several steps an that's why is it not a one-step equation.

4 0

3 years ago

Read 2 more answers