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balu736 [363]
3 years ago
14

How do you know if two quantities vary directly?

Mathematics
1 answer:
Andrews [41]3 years ago
6 0
Write an equation to model this situation. Then complete the input-output table below; and graph the equation on the coordinate plane provided. If two quantities x and y are directly proportional to one another, (meaning if x is doubled, so is y; if x is tripled, so is y), they show direct variation.
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Divide. (35x^2 – 11x -8) divided by(5x+2)
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Attached you will see the answer (use polynomial division)
5 0
3 years ago
A) Find the next two numbers in the following sequences:<br><br> i) 9, 18, 27, 45, 72, __________
postnew [5]

Answer:

81 maybe not sure

Step-by-step explanation:

8 0
2 years ago
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Solve the following equation for x: 6(4x + 5) = 3(x + 8) + 3. Round to the nearest hundredth.
Vera_Pavlovna [14]

Answer:

\boxed {x = -\frac{1}{7}}

Step-by-step explanation:

Solve for the value of x:

6(4x + 5) = 3(x + 8) + 3

-Use <u>Distributive Property</u>:

6(4x + 5) = 3(x + 8) + 3

24x + 30 = 3x + 24 + 3

-Combine like terms:

24x + 30 = 3x + 24 + 3

24x + 30 = 3x + 27

-Take 3x and subtract it from 24x:

24x + 30 -3x = 3x - 3x + 27

21x + 30 = 27

-Subtract both sides by 30:

21x + 30 - 30 = 27 - 30

21x = -3

-Divide both sides by 21:

\frac{21x}{21} = \frac{-3}{21}

x = \frac{-3}{21}

-Reduce the fraction to the lowest term by extracting and canceling out 3:

x = \frac{-3\div3}{21 \div 3}

\boxed {x = -\frac{1}{7}}

Therefore, the value of x is -\frac{1}{7}.

5 0
3 years ago
Which of the following describes the parabola with the equation y = −x2 − 3x + 6?
seropon [69]

Answer:

C) The axis of symmetry is x = −1.5 and the vertex is (−1.5, 8.25).

Step-by-step explanation:

The axis of symmetry is x = − b/2a

= -(-3) / 2(-1)

= 3/(-2)

= -1.5

the vertex => x = -1.5

y= -(-1.5)²-3(-1.5)+6 =

-2.25 +4.5+6= 8.25

4 0
2 years ago
The diagram shows a cylindrical tank.
Snowcat [4.5K]

Answer:

a) A = π30² = 900π cm² ≈ 2,827 cm²

b) V = Ah = 900π80 = 72000π cm³ ≈ 226,195 cm³

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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