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2 years ago

Is (0, -2) a solution to the equation 2x - 3y = 6. Why or why not?

Mathematics

1 answer:

Lyrx [107]2 years ago

5 0

Answer:

check if it verifies the equation. 0 is x. and y is -2

2(0)-3(-2)=6

0+6=6

6=6

it verifies the equation so it is the solution

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If h(x) = x – 7 and g(x) = x2, which expression is equivalent to (g circle h) (5)?

Tema [17]

<h3>Answer: 4</h3>

=====================================================

Work Shown:

$(g \circ h)(x) = g(h(x))$

$g(x) = x^2\\\\g(h(x)) = (h(x))^2 \ \text{replace every x with h(x)}\\\\g(h(x)) = (x-7)^2 \ \text{replace h(x) with x-7}\\\\(g \circ h)(x) = (x-7)^2$

Now plug in x = 5

$(g \circ h)(x) = (x-7)^2 \\\\(g \circ h)(5) = (5-7)^2 \\\\(g \circ h)(5) = (-2)^2\\\\ (g \circ h)(5) = 4$

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Alternative approach:

h(x) = x-7

h(5) = 5-7

h(5) = -2

So this means

g(h(5)) = g(-2)

and

g(x) = x^2

g(-2) = (-2)^2

g(-2) = 4

Therefore making

$g(-2) = g(h(5)) = (g \circ h)(5) = 4$

8 0

4 years ago

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What is the area of a circle whose diameter is 102

cupoosta [38]

Answer:

area = 8167.14 units ²

Step-by-step explanation:

area = πr²

r = 102/2 = 51

area = (3.14)(51²) = 8167.14 units ²

7 0

3 years ago

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H(t)=50− 5 t <br> h(35)=?

valina [46]

Hi

h(t) = 50-5t
h(35)=50-5×35
= 50-175
=-125

Hope It Helps...!!!

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3 years ago

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The population of New York is 1.975x10^7 people

RSB [31]

Answer:

11233000

Step-by-step explanation:

change the numbers to standard form then subtract

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3 years ago

AveGali [126]

Answer:

1/7

Step-by-step explanation:

It's the only option that doesn't give a whole number

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