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3 years ago

Find the equation of the line that has a y-intercept of 6 and is parallel to y= -1/2x+2

1 answer:

7 0

Equation of a line is given by y = mx + c; where m is the slope and c is the y-intercept.
Parallel lines has equal slopes.
Line y = -1/2x + 2 has a slope of -1/2

Required equation is y = -1/2x + 6

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1. Add or Subtract. Show your work

Sav [38]

QUESTION 1a.

We want to add

$( - 2 {x}^{2} - 4x + 13) + (12 {x}^{2} + 2x - 25)$

We group similar terms to get

$- 2 {x}^{2} + 12 {x}^{2}- 4x + 2x - 25 + 13$

Simplify:

$- 10{x}^{2} - 2x -12$

QUESTION 1b.

The given function is:

$(7x^2+4x-26)-(-7x^2-3x+15)$

Expand the parenthesis to obtain,

$7x^2+4x-26 + 7x^2 + 3x - 15$

Group similar terms,

$7x^2+7 {x}^{2} + 4x + 3x-26 - 15$

Simplify:

$14{x}^{2} + 7x-41$

QUESTION 2

The given function is

$f(n)=n^2-6n-16$

The zeros of this function is given by;

$n^2-6n-16 = 0$

Split the middle term.

$n^2-8n + 2n-16 = 0$

Factor;

$n(n - 8) + 2(n - 8) = 0$

$(n - 8)(n + 2) = 0$

$n - 8 = 0 \: or \: n + 2 = 0$

$n = 8 \: or \: n = - 2$

4 0

3 years ago

Y=3/5x-1 solve for x

Ne4ueva [31]

Answer:

y= 3/5x - 1

+1 +1

y+1 = 3/5x

((y+1)5) = 3x

divide by 3 both sides

x= (y+1)5 / (3)

hope that helps

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Jake paid $13.50 for admission to the country fair and bought 9 tickets to play games. If he spent a total of $36, what is the c

Sunny_sXe [5.5K]

Answer:

$2.50

Step-by-step explanation:

Jake's total expenditure is ...

total = admission + c × (number of tickets)

36 = 13.50 + 9c . . . an equation to solve

4 = 1.50 +c . . . . . . . divide by 9

2.50 = c . . . . the cost of one ticket

Each ticket cost Jake $2.50.

5 0

3 years ago

The boys kept adding sand, and ten minutes later the volume of the sand cone had increased by 30%. What is the exact volume of t

RideAnS [48]

Answer:

a) 84π b) 109.2π

Step-by-step explanation:

The formula to find this is v=πr^2h/3

r=d/2. so the radius (r) is 6 because you have to divide the diameter (12) by 2. and the height is 7. so, 6^2=36 and 36x7=252.

252/3=84

and because the question is asking for the EXACT value, you need to just put the pi symbol next to it. Final answer for a is 84π

B) you need to find 30% of 84, which is 25.2 and add it to 84, and you will get 109.2! Final answer is 109.2π.

5 0

3 years ago

A pair of skis was discounted 20%. How many percent will the discounted price have to be increased to return to the original pri

denis-greek [22]

Answer:

25%

Step-by-step explanation:

Let the original price of A pair of skis be $100

discount given on A pair of skis = 20% on original price

discount value of A pair of skis in $ = 20% * $100

= (20 * 100)/100 = $20

discounted price of A pair of skis = original price - discount = 100 -20 = $80

in order to increase discounted price to original price of $100

there must be increase of $20 to discounted price which is $80

percentage increase on discounted price to return to the original price =

$(increased \ amount / discounted \ price) * 100 \\=>( 20/80) * 100 = 25\\$

therefore 25% must be increase on discounted price to return to the original price

6 0

3 years ago