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2 years ago

Tom has saved $128, and his goal is to save $500. How much more must he save? Which equation BEST represents this situation?

Mathematics

2 answers:

Andrei [34K]2 years ago

5 0

A. x + 128 = 500 is the answer

Jet001 [13]2 years ago

3 0

I think the answer is A

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The curves y = √x and y=(2-x) and the Cartesian axes form two distinct regions in the first quadrant. Find the volumes of rotati

makkiz [27]

Answer:

Step-by-step explanation:

If you graph there would be two different regions. The first one would be

$y = \sqrt{x} \,\,\,\,, 0\leq x \leq 1 \\$

And the second one would be

$y = 2-x \,\,\,\,\,, 1 \leq x \leq 2$ .

If you rotate the first region around the "y" axis you get that

$A_1 = 2\pi \int\limits_{0}^{1} x\sqrt{x} dx = \frac{4\pi}{5} = 2.51$

And if you rotate the second region around the "y" axis you get that

$A_2 = 2\pi \int\limits_{1}^{2} x(2-x) dx = \frac{4\pi}{3} = 4.188$

And the sum would be 2.51+4.188 = 6.698

If you revolve just the outer curve you get

If you rotate the first region around the x axis you get that

$A_1 =\pi \int\limits_{0}^{1} ( \sqrt{x})^2 dx = \frac{\pi}{2} = 1.5708$

And if you rotate the second region around the x axis you get that

$A_2 = \pi \int\limits_{1}^{2} (2-x)^2 dx = \frac{\pi}{3} = 1.0472$

And the sum would be 1.5708+1.0472 = 2.618

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3 years ago

Subtract (4x − 3y) from the sum of (12x + 9y) and (−2y). A) 8x + 10y B) 8x - 10y C) 8x − 7y D) −8x + 10y

labwork [276]

(12x + 9y) + (-2y) - (4x - 3y)

= 12x + 9y - 2y - 4x + 3y

= 12x - 4x + 9y - 2y + 3y

= 8x + 10y

A) 8x + 10y

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Answer:

Could you explain it another way?

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Ignatz has a probability of rolling his first $5$ on a 6:1 probability.

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