All categories

3 years ago

Based on the graph, what is the initial value of the linear relationship?

Mathematics

1 answer:

alex41 [277]3 years ago

4 0

Answer: two over three

Step-by-step explanation:

$y=ax+b$

line intercepts y at (0,-2)

Therefore, $y=ax-2$

Substitute x = 3 in y =ax-2

$y=3a-2$

To find the x-intercept, y = 0

$3a-2=0\\3a=2\\a=\frac{2}{3}$

The slope is 2/3

y-intercept is -2

So two over three

You might be interested in

Solve for x. x = [?] 5x - 7/3x + 27 ..

ArbitrLikvidat [17]

Answer:

x = 20

Step-by-step explanation:

the angles shown are supplementary

supplementary angles add up to 180°

hence, 5x - 7 + 3x + 27 = 180

==> combine like terms

8x + 20 = 180

==> subtract 20 from both sides

8x = 160

==> divide both sides by 8

x = 20

3 0

2 years ago

24. The____

kaheart [24]

The total amount of the car loan, plus taxes and fees is called: A- Principal.

A principal can be defined as an amount of money that represents the total amount of loan on an asset, plus taxes and other fees applicable.

In Financial accounting, principal is commonly associated with compound interest or simple interest.

Mathematically, simple interest is given by the formula:

$S.I = \frac{PRT}{100}$

Where:

S.I is the simple interest.

P is the principal amount.

R is the interest rate.

T is the time measured in years.

5 0

2 years ago

Read 2 more answers

draw an example of a shape that has at least one right angle one angle less than a right angle and one angle greater than a righ

MaRussiya [10]

That is not possible to make a triangle with a right angle and a acute angle because a acute triangle only has acute angles and a right triangle has a obtuse angle in it

3 0

3 years ago

1 Sam can run 8 miles in 2 hours. At this rate, how far will he be in 9 hours.

krok68 [10]

Answer: I think 28 miles

Step-by-step explanation:

you add 8 miles every 2 hours until you reach 9 hours and since 9 is an old number you add 4 instead.

6 0

2 years ago

The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold 8 more sundaes than

svlad2 [7]

The shop sold 36 sundaes and 28 banana spilts

Solution:

Let "a" be the number of sundaes sold

Let "b" be the number of banana spilts sold

Cost of 1 sundaes = $ 2

Cost of 1 banana spilt = $ 3

On a hot summer day, the shop sold 8 more sundaes than banana splits and made $156

Therefore,

Number of sundaes sold = 8 + number of banana spilts sold

a = 8 + b ------- eqn 1

Also, given that they made $ 156

Therefore, we frame a equation as:

Number of sundaes sold x Cost of 1 sundaes + number of banana spilts sold x Cost of 1 banana spilt = 156

$a \times 2+b \times 3 = 156$

2a + 3b = 156 ---------- eqn 2

Substitute eqn 1 into eqn 2

2(8 + b) + 3b = 156

16 + 2b + 3b = 156

16 + 5b = 156

5b = 156 - 16

5b = 140

Substitute b = 28 in eqn 1

a = 8 + 28

Thus the shop sold 36 sundaes and 28 banana spilts

4 0

3 years ago