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4 years ago

If y varies inversely as x and y=16 when x=4, find y when x=3

Mathematics

1 answer:

iren [92.7K]4 years ago

6 0

Answer:

21.33 to nearest hundredth

Step-by-step explanation:

Inverse Variation is y = k / x where k is a constant.

Plug in the given values to find k:-

16 = k/4

k = 4*16 = 64 so the equation of variation is y = 64/x.

So when x = 3, y = 64/3 = = 21.33 to nearest hundredth.

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Solve the quadratic equation. Show all of your steps. x 2 + 3 x − 5 = 0

AlladinOne [14]

For this case we have the following quadratic equation:

$x ^ 2 + 3x-5 = 0$

Where:

$a = 1\\b = 3\\c = -5$

We look for the solution using the following formula:

$x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}$

Substituting the values:

$x = \frac {-3 \pm \sqrt {3 ^ 2-4 (1) (- 5)}} {2 (1)}\\x = \frac {-3 \pm \sqrt {9 + 20}} {2}\\x = \frac {-3 \pm \sqrt {29}} {2}$

Thus, we have two roots:

$x_ {1} = \frac {-3+ \sqrt {29}} {2}\\x_ {2} = \frac {-3- \sqrt {29}} {2}$

Answer:

$x_ {1} = \frac {-3+ \sqrt {29}} {2}\\x_ {2} = \frac {-3- \sqrt {29}} {2}$

3 0

3 years ago

If the pre-image (4,-3) is translated <-6,-8> the image will be located at: (?,?)

liubo4ka [24]

Answer:

(-2, - 11)

Step-by-step explanation:

Coordinate of preimage = (4, - 3)

Pre image is translated <-6,-8>

X - coordinate of preimage = 4

Translation, x coordinate + (-6)

Y - coordinate of preimage = - 3

Translation, x coordinate + (-8)

Image will be located at (4+(-6) ; - 3+(-8))

Hence, we have (-2, - 11)

6 0

3 years ago

Why is this true 9a=11a-2a

balandron [24]

Answer:

9a = 11a - 2a

9a = 9a

Step-by-step explanation:

9a = 11a - 2a

11 - 2 = 9

Similarly, 11a - 2a = 9a

Eleven minus two equals nine. Similarly, 11a minus 2a equals 9a. You can subtract them because they both have the same variable <u><em>a</em></u>.

6 0

3 years ago

Read 2 more answers

Read paid 2 dollars proposed during 20 cents per filter to prayer, if x represents the number of filters handed out the grocery

andre [41]

It would be 10 as the answer.

8 0

4 years ago

In triangle ABC, the measure of angle A is 80°. Angle B is congruent to angle C. What is the measure of angle B in degrees? A. ∠

sleet_krkn [62]

Answer:

<B = 50

Step-by-step explanation:

<B = <C = 50

8 0

3 years ago