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3 years ago

Write an algebraic rule for the trend line. Report your rule in slope intercept form.

Mathematics

1 answer:

Tju [1.3M]3 years ago

4 0

Answer:

y = 5x + 20

Step-by-step explanation:

Here, we want to find the slope intercept form equation of the trend line

The general form is:

y =

mx + b

b is slope and m

is the y-intercept

b = 20

To get the slope, we select any two points and use the slope formula

we have the points;

(10,70) and (5,45)

The slope formula is;

m = (y2-y1)/(x2-x1) = (45-70)/(5-10) = -25/-5 = 5

The equation of the line is thus;

y = 5x + 20

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The ratio of the cost of a shirt to the cost of a jacket is 2:5. If the jacket cost $240 more than the shirt,

IrinaVladis [17]

Given:

The ratio of the cost of a shirt to the cost of a jacket is 2:5.

The jacket cost $240 more than the shirt.

To find:

The cost of the shirt and the cost of the jacket.

Solution:

Let x be the cost of the shirt.

The jacket cost $240 more than the shirt. So, the cost of Jacket is (x+240).

The ratio of the cost of a shirt to the cost of a jacket is 2:5. So,

$\dfrac{x}{x+240}=\dfrac{2}{5}$

$5x=2(x+240)$

$5x=2x+480$

Subtract 2x from both sides.

$5x-2x=480$

$3x=480$

Divide both sides by 3.

$x=\dfrac{480}{3}$

$x=160$

So, the cost of shirt is $160.

Now, the cost of jacket is:

$160+240=400$

Therefore, the cost of shirt is $160 and the cost of jacket is $400.

6 0

3 years ago

Which equations show inverse operations of each other? Choose exactly two answers that are correct. 16×1/4 =4 1/4 ÷4 =116

qaws [65]

Answer:

6 × 1/4 = 4

4 × 1/4 = 1

4 ÷ 1/4 = 16

All three of these are correct

Step-by-step explanation:

16 × 1/4 = 4

16/4 = 4

4 = 4

1/4 ÷ 4 = 116

1/4 × 1/4 = 116

1/16 ≠ 116

4 x 1/4 = 1

4/4 = 1

1 = 1

4 ÷ 1/4 = 16

4 × 4 = 16

16 = 16

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3 years ago

HELP! A TV salesperson makes a 6% commission on each ty they sell. If they sell 1 TV that

prisoha [69]

$37.50. You multiply 6%x625 to get 37.5 which would be $37.50 in money.

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3 years ago

Write an equation of the parabola that opens up whose vertex (−1, 2) is 3 units from the focus. (Vertex form or Parabola Form is

TEA [102]

Answer:

y2 = 4ax (opens right, a > 0)

y2 = -4ax (opens right, a > 0)

x2 = 4ay (opens up, a > 0)

x2 = -4ay (opens down, a > 0)

Vertex at (h, k) :

(y - k)2 = 4a(x - h) (opens right, a > 0)

(y - k)2 = -4a(x - h) (opens right, a > 0)

(x - h)2 = 4a(y - k) (opens up, a > 0)

(x - h)2 = -4a(y - k) (opens down, a > 0)

Equation of a Parabola in Vertex form

Vertex at Origin :

y = ax2 (opens up, a > 0)

y = -ax2 (opens down, a > 0)

x = ay2 (opens right, a > 0)

x = -ay2 (opens left, a > 0)

Vertex at (h, k) :

y = a(x - h)2 + k (opens up, a > 0)

y = -a(x - h)2 + k (opens down, a > 0)

x = a(y - k)2 + h (opens right, a > 0)

y = -a(y - k)2 + h (opens left, a > 0)

Step-by-step explanation:

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3 years ago

I need help simplifying this problem:

Aliun [14]

C(t)= -0.3t^2 + 7.2t - 3.2

12c = 40

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3 years ago