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3 years ago

The value of y varies directly with x. If x = 16 when y = 20, find the value of y when x = 60?

Mathematics

1 answer:

son4ous [18]3 years ago

5 0

Answer:

Step-by-step explanation:

To solve this, we will use a proportion, since x and y vary directly with each other.

16 / 20 = 60 / y

<h2>Step 1: Cross-Multiply</h2>

16y = 1200

<h2>Step 2: Divide both sides by 16</h2>

16y / 16 = 1200 / 16

y = 75

<h2>Step 3: Check</h2>

16 / 20 = 60 / 75

1200 = 1200 ✅

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How do u factor this

PilotLPTM [1.2K]

You can factor a parabola by finding its roots: if

$p(x)=x^2+bx+c$

has roots $x_1,\ x_2$ , then you have the following factorization:

$p(x) = (x-x_1)(x-x_2)$

In order to find the roots, you can use the usual formula

$x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

In the first example, this formula leads to

$x_{1,2} = \dfrac{-2\pm\sqrt{4+4}}{2} = \dfrac{-2\pm\sqrt{8}}{2} = \dfrac{-2\pm2\sqrt{2}}{2} = 1 \pm \sqrt{2}$

So, you can factor

$x^2-2x-1 = (x-1-\sqrt{2})(x-1+\sqrt{2})$

The same goes for the second parabola.

As for the third exercise, simply plug the values asking

$f(1.5)=-5.25$

you get

$f(-1.5) = 1.5c-3 = -5.25$

Add 3 to both sides:

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7 0

3 years ago

144 is what percent of 260

Aleks04 [339]

144 divided by 260 is 60%

3 0

3 years ago

A baseball team has home games on Friday and Sunday. The two games together earn $3432.00 for the team. Friday's game generate

scoundrel [369]

Answer:

Friday's game generates $1,664 while Sunday's, game generates $1,768 for a total of $3432.00.

Step-by-step explanation:

First, identify what you know:

1) A baseball team has home games on Friday and Sunday

2) Both games, combined, earned $3432.00

3) Friday's game generated $104.00 less than Sunday's game.

We can create a formula to solve our problem!

$3,432 = x + (x - 104)

$3,432 + 104 = x + x

$3,536 = 2x

$3,536/2 = x

x = $1,768

Sunday's game earned $1,768! If Friday's game earned $104 less, then simply subtract that from Sunday's earning!

$1,768 - $104 = $1,664

Friday's game cost $1,664, and Sunday's game earned $1,768!

Hope this helps! :)

7 0

3 years ago

Read 2 more answers

Which fraction is the largest?

Diano4ka-milaya [45]

Answer:

5/6

Step-by-step explanation:

1/3 has two more thirds until it's a whole

17/20 has three more twentieths until it's a whole

1/4 has four more fourths until it's a whole

5/6 has <u>one</u> more sixth until it's a whole

8 0

3 years ago

Look at the number 425,690.<br><br> What is the value of the digit 2?

defon

Answer:

20,000

Step-by-step explanation:

400,000 Digit 4

20,000 Digit 2

5,000 Digit 5

600 Digit 6

<u>+ 90</u> Digit 9 (And 0)

425,690

7 0

1 year ago

The value of y varies directly with x. If x = 16 when y = 20, find the value of y when x = 60?​

The value of y varies directly with x. If x = 16 when y = 20, find the value of y when x = 60?