What is the volume of the figure below if a = 4.3 units, b = 5.3 units, and c = 3 units?

Mathematics

1 answer:

marishachu [46]2 years ago

4 0

a x a x c = 3.9 * 3.9 * 3 =45.6345.63 * 2 = 91.26a x b x c = 3.9 * 5.7 * 3 = 66.6966.69 + 91.26 = 157.95 cubic units

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The graph of a quadratic function with vertex (3,-2) is shown in the figure below.

fgiga [73]

Answer:

Domain: all real numbers

Range: less than/equal to -2

8 0

3 years ago

Need help to write equations for 5, 6 & 7

Nutka1998 [239]

5)
The x-values go up by 1: -2, -1, 0, 1, 2
The y values are always 3 times the previous value.
This is an exponential function.

$y = a(b)^x$

We need to find a and b.
Look at x = 0.
For x = 0, y = 4.

$y = a(b)^x$

$4 = a(b)^0$

Since b^0 = 1, this simplifies to

$4 = a$

Now we know a = 4. We have

$y = 4(b)^x$

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$12 = 4(b)^1$

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Now that we know a and b, we can write the function.

$y = 4(3)^x$

Now that you have the function written out, notice the following.
In the exponential equation we found, the number raised to x
is the number you multiply each y value to get the next y value.
In this case, each y value is 3 times the previous one, so you have 3^x.
The way you find "a" in the exponential equation is to look at the y-coordinate
when x = 0. When x = 0, b^x is 1, so b^x drops out, and you get "a" equal to
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With b = 3, and a = 4, you can quickly write:
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7 0

3 years ago

Find the zeros of the function. Enter the solutions from least to greatest . h(x) = (- 4x - 3)(x - 3) lesser x = greater

icang [17]

9514 1404 393

Answer:

-3/4, 3

Step-by-step explanation:

The zeros are the values of x that make h(x)=0. Those are the values of x that make the factors of h(x) be zero.

-4x -3 = 0 ⇒ x = -3/4

x -3 = 0 ⇒ x = 3

The zeros of the function are -3/4 and 3.