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Alina [70]
2 years ago
11

A direct variation function contains the points (-9, -3) and (-12, -4) Which equation represents the function?

Mathematics
1 answer:
Bezzdna [24]2 years ago
8 0

Answer:

y = \frac{1}{3} x

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use either of the 2 given points

Using (- 9, - 3), then

k = \frac{y}{x} = \frac{-3}{-9} = \frac{1}{3}

y = \frac{1}{3} x ← equation of function

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The Hoffman family has bought one pizza on Friday night every week for the last 10 years.
wel

Answer:520

Step-by-step explanation:.

8 0
2 years ago
Factor the expression given below. Write each factor as a polynomial in
kherson [118]

The factorization of the expression of 43x³ + 216y³ is

(7x + 6y)(49x² - 42xy + 36y²)

Step-by-step explanation:

The sum of two cubes has two factors:

1. The first factor is \sqrt[3]{1st} + \sqrt[3]{2nd}

2. The second factor is ( \sqrt[3]{1st} )² - ( \sqrt[3]{1st} ) ( \sqrt[3]{2nd} ) + ( \sqrt[3]{2nd} )²

Ex: The expression a³ + b³ is the sum of 2 cubes

The factorization of a³ + b³ is (a + b)(a² - ab + b²)

∵ The expression is 343x³ + 216y³

∵ \sqrt[3]{343x^{3}} = 7x

∵ \sqrt[3]{216y^{3}} = 6y

∴ The first factor is (7x + 6y)

∵ (7x)² = 49x²

∵ (7x)(6y) = 42xy

∵ (6y)² = 36y²

∴ The second factor is (49x² - 42xy + 36y²)

∴ The factorization of 43x³ + 216y³ is (7x + 6y)(49x² - 42xy + 36y²)

The factorization of the expression of 43x³ + 216y³ is

(7x + 6y)(49x² - 42xy + 36y²)

Learn more:

You can learn more about factors in brainly.com/question/10771256

#LearnwithBrainly

6 0
2 years ago
6.6.1. Rao (page 368, 1973) considers a problem in the estimation of linkages in genetics. McLachlan and Krishnan (1997) also di
ikadub [295]

Answer:

Step-by-step explanation:

find attached the solution

7 0
2 years ago
What is the completely factored form 8x2-50y2?
lorasvet [3.4K]
Remember
a²-b²=(a-b)(a+b)

8x²-50y²
2(4x²-25y²)
(2)([2x]²-[5y]²)
2(2x-5y)(2x+5y)
7 0
2 years ago
What is the range of the function graphed below?
Xelga [282]
<h2>Answer:</h2>

Option: B is the correct answer.

The range of the function is:

        B.      5 < y < ∞

<h2>Step-by-step explanation:</h2>

Range of a function--

The range of a function is the set of all the values that is attained by the function.

By looking at the graph of the function we see that the function tends to 5 when x→ -∞ and the function tends to infinity when x →∞

Also, the function is a strictly increasing function.

This means that the function takes every real value between 5 and ∞ .

i.e. The range of the function is: (5,∞)

          Hence, the answer is:

                Option: B

8 0
2 years ago
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