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3 years ago

Graph the line with slope - 2 passing through the point (-1,2).

Mathematics

1 answer:

umka21 [38]3 years ago

4 0

Answer:

$y=-2x$

Step-by-step explanation:

Equation of line in point slope form is

$y-y_1=m(x-x_1)$ ---------- (1)

Here

$m=-2 \ \ \ and \ \ \ (x_1, y_1) = (-1, 2)$

Substituting values in equation (1)

$y-2=-2(x+1)$

$y=-2x$

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brenda savings account principal 850, 5.5% annual interest rate and is compounded quarterly for 1 year. what is the compound int

Sedbober [7]

A = $ 861.69

Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5.5%/100 = 0.055 per year,
putting time into years for simplicity,
1 quarters ÷ 4 quarters/year = 0.25 years,
then, solving our equation

A = 850(1 + (0.055 × 0.25)) = 861.6875
A = $ 861.69

The total amount accrued, principal plus interest,
from simple interest on a principal of $ 850.00
at a rate of 5.5% per year
for 0.25 years (1 quarters) is $ 861.69.

3 0

3 years ago

The length of a rectangle is 5 inches more than the width. The area is 33 square inches. Find the length and width . Round to th

EleoNora [17]

Answer:

the length and width . Round to the nearest tenth are 8.8 inches and 3.8 inches respectively.

Step-by-step explanation:

The area A of a rectangle is the product of the length L and width W. This may be expressed mathematically as

A = L * W

As such, given that the length is 5 inches more than the width,

L = W + 5

33 = W(W + 5)

W² + 5W - 33 = 0

Using the formula method which states that

s = -b±√(b²-4ac)/2a

W = -5 ± √5² - 4(1)(-33)/2

= -5 ± 12.53/2

= 7.53/2 (since length cannot be negative)

= 3.755 inches

L = 3.755 + 5

= 8.755 inches

6 0

3 years ago

The expression p/x^2 - 5x +6 simplifies to x+4/x-2. Which expression doees p represent?

gladu [14]

We know that
(ad)/(bd)=d/d time a/b=a/b since d's cancel
also
if a/b=c/d in simplest form, then a=c and b=d

we have
p/(x^2-5x+6)=(x+4)/(x-2)
therefor

p/(x^2-5x+6)=d/d times (x+4)/(x-2)
p/(x^2-5x+6)=d(x+4)/d(x-2)

therefor
p=d(x+4) and
x^2-5x+6=d(x-2)

we can solve last one
factor
(x-6)(x+1)=d(x-2)
divide both sides by (x-2)
[(x-6)(x+1)]/(x-2)=d
sub

p=d(x+4)
p=([(x-6)(x+1)]/(x-2))(x+4)
$p= \frac {(x-6)(x+1)(x+4)}{(x-2)}$

7 0

3 years ago

Explain the relationship between the number of painters and sculptors enrolled in the art schools?

nasty-shy [4]

The relationship between the number of painters and sculptors enrolled in the art school can be considered a direct variation.

<h3>Direct variation</h3>

A direct variation as implied above means, the linear relationship between the number of painters and sculptors enrolled in the art school are directly proportional.

In essence, as the number of sculptors in the art schools increase, the number of painters increases too. This is because, more painters are needed to paint increasing work volume of the sculptors.