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Dafna1 [17]
3 years ago
14

6(x – 1) = 9(x + 2) Solve

Mathematics
1 answer:
Tom [10]3 years ago
8 0

Answer:

x=−8

Step-by-step explanation:

6(x−1)=9(x+2)

Step 1: Simplify both sides of the equation.

6(x−1)=9(x+2)

(6)(x)+(6)(−1)=(9)(x)+(9)(2)(Distribute)

6x+−6=9x+18

6x−6=9x+18

Step 2: Subtract 9x from both sides.

6x−6−9x=9x+18−9x

−3x−6=18

Step 3: Add 6 to both sides.

−3x−6+6=18+6

−3x=24

Step 4: Divide both sides by -3.

−3x/−3=24/−3

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There are two water tanks, Tank #1 fills into Tank #2.
cricket20 [7]

Answer:

  35 minutes

Step-by-step explanation:

The total amount of water is 200 +60 = 260 gallons. The two tanks will have equal amounts when each has half that, or 130 gallons.

If the volume in tank 2 is increasing at 2 gallons per minute, it will increase by 70 gallons from 60 gallons to 130 gallons in 70/2 = 35 minutes.

5 0
3 years ago
In parallelogram WXYZ, what is CY?<br> CY=___ ft
dangina [55]
<span>The correct answer is 11 ft.

Explanation:
The diagonals of a parallelogram bisect each other. This means that the portion marked x+4 is the same length as the portion marked 2x-7; this gives us the equation x+4=2x-7.

Subtract x from each side:
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6 0
3 years ago
Read 2 more answers
The blue dot is at what value on the number line?<br> -7<br> -3<br> ?
Rasek [7]

Answer:

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7 0
3 years ago
Please help me with this question
san4es73 [151]

Step-by-step explanation:

Given: f'(x) = x^2e^{2x^3} and f(0) = 0

We can solve for f(x) by writing

\displaystyle f(x) = \int f'(x)dx=\int x^2e^{2x^3}dx

Let u = 2x^3

\:\:\:\:du=6x^2dx

Then

\displaystyle f(x) = \int x^2e^{2x^3}dx = \dfrac{1}{6}\int e^u du

\displaystyle \:\:\:\:\:\:\:=\frac{1}{6}e^{2x^3} + k

We know that f(0) = 0 so we can find the value for k:

f(0) = \frac{1}{6}(1) + k \Rightarrow k = -\frac{1}{6}

Therefore,

\displaystyle f(x) = \frac{1}{6} \left(e^{2x^3} - 1 \right)

5 0
2 years ago
A and b are positive integers and a−b=2. Evaluate the following: 3^b/3^a
Lerok [7]

Answer:

The answer is 1/9.

Step-by-step explanation:

Using the equation a-b=2, we can solve that a = 2+b.

We can then <u>substitute that into the expression</u> given to get 3^b/3^(2+b).

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3^-2 is simply 1/9.

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2 years ago
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