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stepan [7]
2 years ago
13

Solve for y in terms of x

Mathematics
1 answer:
Alika [10]2 years ago
3 0

Answer:

(a) 3 - 2x - 2x²  (b) -21

Step-by-step explanation:

given, y +2x² = 3 -2x

make y the subject:

y = 3 - 2x - 2x²

if y = f(x)

then

f(x) = 3 - 2x - 2x²

(b)<u> to find f(3) we need to replace x with 3:</u>

<u />

3 - 2(3) - 2*(3)²

-21

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What is the answer and how do I solve?
8_murik_8 [283]
Because it is a 90° angle and the legs are congruent, the legs intersect with the hypotenuse at the same angle, so the other, unnamed angle at the bottom left is equal to x.

Now we can state that:

2x + 90 = 180
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4 0
3 years ago
Draw an example of a composite figure that has a volume between 750 cubic inches and 900 cubic inches
grigory [225]

Volume:

V \approx 888.02in^3 \\ \\ And, \ 750in^3

<h2>Explanation:</h2>

A composite figure is formed by two or more basic figures or shapes. In this problem, we have a composite figure formed by a cylinder and a hemisphere as shown in the figure below, so the volume of this shape as a whole is the sum of the volume of the cylinder and the hemisphere:

V_{total}=V_{cylinder}+V_{hemisphere} \\ \\ \\ V_{total}=V \\ \\ V_{cylinder}=V_{c} \\ \\ V_{hemisphere}=V_{h}

So:

V_{c}=\pi r^2h \\ \\ r:radius \\ \\ h:height

From the figure the radius of the hemisphere is the same radius of the cylinder and equals:

r=\frac{8}{2}=4in

And the height of the cylinder is:

h=15in

So:

V_{c}=\pi r^2h \\ \\ V_{c}=\pi (4)^2(15) \\ \\ V_{c}=240\pi in^3

The volume of a hemisphere is half the volume of a sphere, hence:

V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi r^3\right) \\ \\ V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi (4)^3\right) \\ \\ V_{h}=\frac{128}{3}\pi in^3

Finally, the volume of the composite figure is:

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<h2>Learn more:</h2>

Volume of cone: brainly.com/question/4383003

#LearnWithBrainly

4 0
3 years ago
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Answer:

Step-by-step explanation:Solution :

Given variable = p

According to the problem given ,

Twice the variable p divided by the

product of 5 and q

= ( 2p )/ ( 5q )

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irga5000 [103]
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Answer:

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Step-by-step explanation:

hope it helps you

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