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3 years ago

If y = 3x and 2x + 4y = 12, then 2x + 4(3x) = 12

Mathematics

1 answer:

Kamila [148]3 years ago

6 0

Answer:

x=6/7 and y=18/7

Step-by-step explanation:

If y = 3x and 2x + 4y = 12,

then substitute the value of y with 3x

2x + 4(3x) = 12

2x+12x=12

14x=12

x=12/14=6/7

y=3x=3*(6/7)=18/7

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A right cylinder has the radius of 3.5cm and the height of 11cm if i place 3 ice cube with edge length of 2cm in the glass what

Brrunno [24]

Answer:

Volume of cylinder =

$\pi \times r {}^{2} \times h$

$\pi \times 3.5 {}^{2} \times 11 = 423cm {}^{3}$

Volume of 1 ice cube = 2*2*2= 8cm3

Volume of 3 ice cubes= 3*8= 24cm3

Volume of juice added = 423-24 = 399 cm3

4 0

3 years ago

I need help with this please.

LenaWriter [7]

Answer:

k = 3

Step-by-step explanation:

0 • 3 = 0

1 • 3 = 3

2 • 3 = 6

3 • 3 = 9

4 • 3 = 12

Notice the x value times 3 is the y value. Therefore, k is 3. Let me know if I got anything wrong. I hope this helps!

4 0

3 years ago

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Marizza181 [45]

A is adjacent B is vertical

7 0

2 years ago

Which statements are true? Check all that apply.

babunello [35]

Answer:

The population density for Montana can be found using the ratio 1,005,141:145,552. ; and The state with the smallest population density is Montana.

Step-by-step explanation:

Population density is found by dividing the population by the area of the state.

For Florida, this is 19317568/53927 = 358.22.

For Hawaii, this is 1392313/6423 = 216.77.

For Montana, this is 1005141/145552 = 6.91.

For Oregon, this is 3899353/95997 = 40.62.

The first statement told us the correct manner to find the population density for Montana, so it is correct.

The second statement had the method backward for Oregon, so it is not correct.

The third statement is that the population density for Hawaii is larger than the one for Florida; this is not true, as Hawaii's is 216.77 and Florida's is 358.22.

The fourth statement is that the state with the smallest population density is Oregon; this is not true, since Montana's is 6.91 and Oregon's is 40.62. Montana's is the smallest, so the last statement is true.

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3 years ago

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E^(8x)+e^(-x) find the interval on which f is increasing

saveliy_v [14]

Assuming ya mean
$f(x)=e^{8x}+e^{-x}$
take derivitive
remember dy/dx e^x=e^x
also the chain rule

so
$f'(x)=8e^{8x}+-1e^{-x}$
find where it equals 0
$0=8e^{8x}+-e^{-x}$
$e^{-x}=8e^{8x}$
multiply both sides by e^x
$1=8e^{9x}$
divide both sides by 8
$\frac{1}{8}=e^{9x}$
take ln of both sides
$ln(\frac{1}{8})=ln(e^{9x})$
$ln(\frac{1}{8})=9x$
divide both sides by 9
$\frac{ln(\frac{1}{8})}{9}=x$

x≈-1/5
f'(-1)<0
f'(0)>0

so it is increasing from x to infinity

the interval it is increasing on is $(\frac{ln(\frac{1}{8})}{9}, \infty)$

6 0

2 years ago