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3 years ago

9

Y varies directly as x, if y=12 when x=5, find y when x=3

1 answer:

morpeh [17]3 years ago

8 0

Answer:

y = 36/5

Step-by-step explanation:

The formula for direct variation is

y = kx where k is a constant

We know y =12 and x= 5

12 = k*5

12/5 = k

The formula is

y = 12/5 x

Now find y = when x=3

y = 12/5 *3

y = 36/5

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A Rectangular piece of sheet Metal has an area of 10,680 in.² its length is 72.0 in. find it width

tatiyna

148 1/3 inches. 72 x 148 1/3 = 10,680
To get the answer 10,680 / 72 = 148 1/3

5 0

3 years ago

Use the equation and type the ordered-pairs. y = log 3 x {(1/3, a0), (1, a1), (3, a2), (9, a3), (27, a4), (81, a5)

vagabundo [1.1K]

Answer:

Considering the given equation $y = log_{3}x\\$

And the ordered pairs in the format $(x, y)$

I don't know if it is log of base 3 or 10, but I will assume it is 3.

For $(\frac{1}{3}, a_{0} )$

$x=\frac{1}{3}$

$y=a_{0}$

$y = log_{3}x\\y = log_{3}(\frac{1}{3} )\\y=-\log _3\left(3\right)\\y=-1$

So the ordered pair will be $(\frac{1}{3}, -1 )$

For $(1, a_{1} )$

$x=1$

$y=a_{1}$

$y = log_{3}x\\y = log_{3}1\\y = log_{3}(1)\\Note: \log _a(1)=0\\y = 0$

So the ordered pair will be $(1, 0 )$

For $(3, a_{2} )$

$x=3$

$y=a_{2}$

$y = log_{3}x\\y = log_{3}3\\y = 1$

So the ordered pair will be $(3, 1 )$

For $(9, a_{3} )$

$x=9$

$y=a_{3}$

$y = log_{3}x\\y = log_{3}9\\y=2\log _3\left(3\right)\\y=2$

So the ordered pair will be $(9, 2 )$

For $(27, a_{4} )$

$x=27$

$y=a_{4}$

$y = log_{3}x\\y = log_{3}27\\y=3\log _3\left(3\right)\\y=3$

So the ordered pair will be $(27, 3 )$

For $(81, a_{5} )$

$x=81$

$y=a_{5}$

$y = log_{3}x\\y = log_{3}81\\y=4\log _3\left(3\right)\\y=4$

So the ordered pair will be $(81, 4 )$

4 0

4 years ago

Simplify in fraction form<br> 60a+64≥80a−92

lukranit [14]

Answer:

a≤39/5

Step-by-steep explanation:

60a+64≥80a−92

Step 1: Subtract 80a from both sides.

60a+64≥80a−92

-80a -80a

−20a+64≥−92

Step 2: Subtract 64 from both sides.

−20a+64≥−92

-64 -64

−20a≥−156

Step 3: Divide both sides by -20.

−20a≥−156

a≤39/5

5 0

3 years ago

HELP ME!!!!!!!!!!!!!!!!!!!!!!!!

spin [16.1K]

Answer:

The correct option is A

Step-by-step explanation:

Since (1, 3) are the solutions to the function g(x), then

g(x) = (x – 1)(x – 3) = x² –3x – x + 3 = x² – 4x + 3

We know that f(x) is on the same plane and f(1) = 1.

Let's take g(1) = (1 – 1)(1 – 3) = 0

Therefore, when x = 1; f = 1 and g = 0. Hence

g(1) = f(1) – 1

In order words, g(x) could be f(x) – 1.

The correct option is A

7 0

3 years ago

!!ASAP!!<br> 1.<br> 25<br> 40<br> 75<br> 2. <br> 40<br> 75<br> 140

Alexeev081 [22]

Answer:

C= 40

D= 75

Alternate interior angle

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Hope it helps...

Have a great day!!!

6 0

3 years ago