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3 years ago

Suppose y varies directly with x. Write an equation relating x and y.

Mathematics

1 answer:

jolli1 [7]3 years ago

4 0

9514 1404 393

Answer:

a. y = -5x

Step-by-step explanation:

The different signs of x and y tell you the constant of proportionality will be negative (eliminating choices b and d).

A quick trial of the given values shows that choice c is incorrect, and that choice a is correct.

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Solve 2x2 + 20x = −38. (1 point)

RoseWind [281]

Answer:

The solutions are $x=-5+\sqrt{6}$ and $x=-5-\sqrt{6}$

Step-by-step explanation:

we have

$2x^{2} +20x=-38$

Divide by $2$ both sides

$x^{2} +10x=-19$ ------> $x^{2} +10x+19=0$

we know that

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2} +10x+19=0$

$a=1\\b=10\\c=19$

substitute

$x=\frac{-10(+/-)\sqrt{10^{2}-4(1)(19)}}{2(1)}$

$x=\frac{-10(+/-)\sqrt{100-76}}{2}$

$x=\frac{-10(+/-)\sqrt{24}}{2}$

$x=\frac{-10(+/-)2\sqrt{6}}{2}$

$x1=\frac{-10(+)2\sqrt{6}}{2}=-5+\sqrt{6}$

$x2=\frac{-10(-)2\sqrt{6}}{2}=-5-\sqrt{6}$

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3 years ago

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den301095 [7]

Step 2: commutative property of multiplication
Step 3: multiplicative inverse
Step 4: multiplicative identity

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Grade level is this??

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3 years ago

Find the circumference and area of a circle with a diameter of 14 inches. Leave your answers in terms of pi. C = 14π; A = 49π. C

Olenka [21]

Given:
diameter = 14 inches
radius = 14 inches / 2 = 7 inches

Circumference of a circle = 2 π r = 2 * π * 7inches = 14 inches * π

Area of a circle = π r² = π * (7in)² = π * 49in²

C = 14π and A = 49π

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3 years ago

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Consider this cylinder with the given base area and height measures. A cylinder with height of 9 inches and Base B = 12 pi inche

Ipatiy [6.2K]

Answer:

108 pi inches cubed

Step-by-step explanation:

The volume of a cylinder is base area times volume. Since we have our base area of 12 pi, and our height of 9, we have the are as 12* 9 = 108 pi inches cubed. Thus, the answer is D.

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3 years ago

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