3 years ago

Which table could represent a function?

Mathematics

1 answer:

sergejj [24]3 years ago

4 0

The answer is the 2nd one

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a gardenner is designing a new garden in the shape of a trapezoing she wants the short base to be twice the height and loger bas

taurus [48]

Answer:

Height = 5 ft

Short base = 10 ft

Long base = 14 ft

Step-by-step explanation:

Let h = height, a = short base, b = long base.

From the question,

a = 2h

b = a + 4 = 2h + 4

The area of the trapezoid is given by $\frac{1}{2}(a+b)h$ . Thus,

$60 = \frac{1}{2}(2h + 2h + 4)h$

$60 = \frac{(4h + 4)h }{2}$

$60 = \frac{4h(h + 1)}{2}$

$60 = 2h(h + 1)$

$30 = h(h + 1)$

$0 = h^2 + h - 30$

$0 = (h+6)(h-5)$

$h-5 = 0$ or $h+6 = 0$

$h= 5$ or $h = -6$

We discard the negative value of h since it is a measurement and cannot be negative.

$h= 5$

$a= 2h=2\times5=10$

$b= a+4=10+4=14$

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3 years ago

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ElenaW [278]

It would be C I hope this helps

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3 years ago

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Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.

Alisiya [41]

Answer: b.

Step-by-step explanation:

Based on the information given, you can write the following expression:

$y=\frac{k}{x^2}$

Where k is the the constant of variation

If y=4/63 when x=3, then you can substitute these values into the expression and solve for k:

$\frac{4}{63}=\frac{k}{3^2}\\k=9*\frac{4}{63}\\k=\frac{4}{7}$

Substitute k into the expression. Then the equation is:

$y=\frac{4}{7x^{2}}$

Substitute x=5 into the equation. Then, y is:

$y=\frac{4}{7(5)^{2}}=\frac{4}{175}}$

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