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3 years ago

Jacques needs to convert the function f(x) = x2 − 6x + 14 to vertex form, f(x) = (x − h)2 + k, in order to find the minimum.

Mathematics

1 answer:

Bond [772]3 years ago

4 0

Answer:

C. 5

Step-by-step explanation:

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Which of the following represents the y-intercept of the function y = log (x + 100) - 4 ? *

Llana [10]

Answer:

its c bru

Step-by-step explanation:

8 0

2 years ago

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Reid and Maria both play soccer. This season Reid scores 4 less than twice the number of goals that Maria scored the difference

valentina_108 [34]

Answer: Reid scored 1 and Maria scored 5.

Step-by-step explanation:

5 x 2 = 10

10-4= 6

5 + 1 = 6

4 0

3 years ago

Express the integral as an iterated integral in six different ways, where E is the solid bounded by y=4-x^2-4z^2 and y=0

zmey [24]

Assuming you need the integral expressing the volume of $E$ , the easiest setup is to integrate with respect to $y$ first.

This is done with either

$\displaystyle\iiint_E\mathrm dV=\int_{-2}^2\int_{-2}^2\int_0^{4-x^2-z^2}\mathrm dy\,\mathrm dx\,\mathrm dz$
$\displaystyle\iiint_E\mathrm dV=\int_{-2}^2\int_{-2}^2\int_0^{4-x^2-z^2}\mathrm dy\,\mathrm dz\,\mathrm dx$

Thanks to symmetry, integrating with respect to either $x$ or $z$ first will be nearly identical.

First, with respect to $x$ :

$\displaystyle\iiint_E\mathrm dV=\int_{-2}^2\int_0^4\int_{-\sqrt{4-y-z^2}}^{\sqrt{4-y-z^2}}\mathrm dx\,\mathrm dy\,\mathrm dz$
$\displaystyle\iiint_E\mathrm dV=\int_0^4\int_{-2}^2\int_{-\sqrt{4-y-z^2}}^{\sqrt{4-y-z^2}}\mathrm dx\,\mathrm dz\,\mathrm dy$

Next, with respec to $z$ :

$\displaystyle\iiint_E\mathrm dV=\int_{-2}^2\int_0^4\int_{-\sqrt{4-y-z^2}}^{\sqrt{4-y-x^2}}\mathrm dz\,\mathrm dy\,\mathrm dx$
$\displaystyle\iiint_E\mathrm dV=\int_0^4\int_{-2}^2\int_{-\sqrt{4-y-z^2}}^{\sqrt{4-y-x^2}}\mathrm dz\,\mathrm dx\,\mathrm dy$

5 0

2 years ago

Draw 3 distinct lines that have the same y intercept

Vanyuwa [196]

So y=mx+b
b is the y-intercept or where they cross the y-axis so just set a y-intercept and change the slope

so if y-intercept is 7
y=3x+7
y=2x+7
y=8x+7
y=-1/4x+7
and so on

3 0

3 years ago

Using two normal dice, what is the probability of rolling numbers that add up to 3?

Blizzard [7]

That would be rolling a 1 and a 2 .

so possibilities are 1 on first die and 2 on the second die

OR 2 on first die and 1 on the second.

Both of these have a probability of 1/6 * 1/6 = 1/36

so required probability = 1/36 + 1/36 = 2/36 = 1/18

4 0

3 years ago