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3 years ago

3.) A linear function passes through the points (0, 2) and (-4,0).

Mathematics

1 answer:

kotegsom [21]3 years ago

7 0

Answer:

Step-by-step explanation:

The x-intercept is where y is 0.

The y-intercept is where x is 0.

The x-intercept would be (-4, 0) and the y-intercept (0, 2)

Using the slope formula, (y2-y1/x2-x1), we can find the slope which is 1/2.

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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

7 0

4 years ago

The results of a survey are shown in the pie chart below and the survey 28 students say their favorite dessert is ice cream how

Rainbow [258]

Answer:

12 students.

Step-by-step explanation:

The complete question would be:

If ice cream is the last dessert, then we can solve for how many percent of the students like ice cream. If we add the 4 desserts percent, it should be equal to 100%

Pie : 15%

Candy : 23%

Cake : 27%

Pie% + Candy% + cake% + ice cream% = 100%

15% + 23% + 27% + Ice cream% = 100%

65% + Ice cream% = 100%

Ice cream% = 100% - 65%

Ice cream % = 35%

Percent is a way of saying how many out of a 100. Before we can tell how many students like pie, we need to figure out how many students were surveyed.

It says here that 35% of them like ice cream and among the students, 28 students like ice cream. This means that 28 is 35% of a number, which will be the number of students surveyed.

So as a fraction:

$35\% = \dfrac{35}{100}$

We need to find a ratio that is proportional to that, with 28 as the part of the whole.

$\dfrac{35}{100} = \dfrac{28}{x}\\\\Cross-multiply\\\\35x = 28(100)\\\\35x = 2800\\\\Divide\;both\;sides\;by\;35\\\\\dfrac{35x}{35} = \dfrac{2800}{35}\\\\x=80$

So that is the number of students survey. Now to look for how may people like pie, we find what is 15% of 80. So we find the part of the whole this time:

$\dfrac{15}{100}=\dfrac{x}{80}\\\\15(80)=100x\\\\1200 = 100x\\\\\dfrac{1200}{100}=\dfrac{100x}{100}\\\\12 = x$

4 0

3 years ago

A stack of ninety cards is placed next to a ruler, and the height of the stack is measured to be 3/4 inches. How thick is one ca

den301095 [7]

(3/4)/90
each card is 0.0083 inches thick

8 0

4 years ago

Which division equation matches this multiplication equation?

melomori [17]

Answer:

I think the answer is A but I'm not 100% sure.

Step-by-step explanation:

7 0

3 years ago

PLS HELP NO LINKS AND CAN YOU PLS PUT AN EXPLANATION

iragen [17]

Answer:

I believe it is 562 because if you subtract the cell phone bill balance from the cash balance you get $749-$187=$562

Step-by-step explanation:

im not sure this is 100% correct

3 0

3 years ago