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swat32
2 years ago
11

Solve for x and y-intercepts and show the work! Im on a timed test!2x - 3y = 12

Mathematics
2 answers:
REY [17]2 years ago
6 0

Answer:

Equation: y=2/3x-4

y intercept is (0,-4)

x intercept is (6, 0)

Step-by-step explanation:

Vitek1552 [10]2 years ago
3 0

Answer:

x=3/2y+6

y=2/3x-4

Step-by-step explanation:

To find Y

divide both sides with -3

-3y=-2x+12/:-3

y=2/3x-4

to find x

2x=3y+12

divide both sides with 2

2x=3y+12/:2

x=3/2y+6

Hope this helped :)

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8 0
3 years ago
Moon Sporting Goods received a shipment of tennis rackets and marked them up 45%. The cost of the tennis rackets to Moon was $85
Komok [63]

Answer:

$123.25

Step-by-step explanation:

A selling price reflecting a 45% markup can be found by multiplying the wholesale price ($85) by (1 + 0.45), or  1.45:

1.45($85) = $123.25

4 0
3 years ago
Find the circumference of the circle. Then, find the length of each bolded arc. Use appropriate notation
Vaselesa [24]

Answer:

\text{1) }\\\text{Circumference: }24\pi \text{ m}},\\\text{Length of bolded arc: }18\pi \text{ m}\\\\\text{3)}\\\text{Circumference. }4\pi \text{ mi},\\\text{Length of bolded arc: }  \frac{3\pi}{2}\text{ mi}

Step-by-step explanation:

The circumference of a circle with radius r is given by C=2\pi r. The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle \theta^{\circ} is equal to 2\pi r\cdot \frac{\theta}{360}.

Formulas at a glance:

  • Circumference of a circle with radius r: C=2\pi r
  • Length of an arc with central angle \theta^{\circ}: \ell_{arc}=2\pi r\cdot \frac{\theta}{360}

<u>Question 1:</u>

The radius of the circle is 12 m. Therefore, the circumference is:

C=2\pi r,\\C=2(\pi)(12)=\boxed{24\pi\text{ m}}

The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:

\ell_{arc}=24\pi \cdot \frac{270}{360},\\\\\ell_{arc}=24\pi \cdot \frac{3}{4},\\\\\ell_{arc}=\boxed{18\pi\text{ m}}

<u>Question 2:</u>

In the circle shown, the radius is marked as 2 miles. Substituting r=2 into our circumference formula, we get:

C=2(\pi)(2),\\C=\boxed{4\pi\text{ mi}}

The measure of the central angle of the bolded arc is 135 degrees. Its length must then be:

\ell_{arc}=4\pi \cdot \frac{135}{360},\\\ell_{arc}=1.5\pi=\boxed{\frac{3\pi}{2}\text{ mi}}

8 0
3 years ago
victor needs 300 feet of rope.The rope he wants to buy is sold by yards.He knows that there are 3 feet in 1 yard.How many yards
barxatty [35]

We need to convert 300 feet to yards.

We know,

3 feet = 1 yard

Hence,

300 feet * 1 yard/3 feet = 300/3 = 100 yards

He should buy 100 yards

5 0
1 year ago
Find the domain and range of the function below.
Nana76 [90]

ANSWER

Domain: All real numbers

Range:

[2,  \infty )

EXPLANATION

The given function is

y = 3 {x}^{2}   - 6x  + 5

To find the domain and range of the given function, we complete the square.

y = 3 ({x}^{2}   - 2x  )+ 5

y = 3 ({x}^{2}   - 2x   + 1) + 3(  - 1)+ 5

y = 3 ({x - 1)}^{2}    - 3+ 5

y = 3 ({x - 1)}^{2}   + 2

The vertex is at (1,2).

The given function is a polynomial and all polynomial functions are defined everywhere.

The domain is all real numbers.

The parabola opens upwards and have vertex at (1,2). Hence the minimum y-value is 2.

The range is

[2,  \infty )

7 0
3 years ago
Read 2 more answers
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