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ElenaW [278]
3 years ago
5

For the equation -2(x+1) = 8, Caitlin distributes the 2 to get, -2x +2 = 8. Then she subtracts the 2 from both sides to get -2x

= 6. Lastly she divides both sides by -2 to get x =-3. Did Caitlin use the distributive property correctly?(Site 2)
Mathematics
1 answer:
mamaluj [8]3 years ago
5 0

Answer:

No.

Step-by-step explanation:

She wronged in Step 2, -2x + 2 = 8 .

The correct way is :

-2(x+1) = 8

-2x <u>–</u> 2 = 8

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Which equations represent exponential growth? Which equations represent exponential decay? Drag the choices into the boxes to co
Norma-Jean [14]

Answer:

Exponential growth functions are:

A=20000(1.08)^{t}

A=40(3)^{t}

A=1700(1.07)^{t}

Exponential decay functions are:

A=80(\frac{1}{2})^{t}=80(0.5)^{t}

A=1600(0.8)^{t}

A=1700(0.93)^{t}

Step-by-step explanation:

Given:

An exponential function is of the form y=ab^{x}, where, a\ne 0.

Now, if a > 0 and b > 1, then the exponential function represent exponential growth.

If a > 0 and 0 < b < 1, then the exponential function represent exponential  decay.

Let us check each function now.

Option 1: A=20000(1.08)^{t}

Here, a = 20000, b = 1.08

As 1.08 > 1, the function is exponential growth.

Option 2: A=80(\frac{1}{2})^{t}=80(0.5)^{t}

Here, a = 80, b = 0.50

As 0.5 < 1, the function is exponential decay.

Option 3: A=1600(0.8)^{t}

Here, a = 1600, b = 0.8

As 0.8 < 1, the function is exponential decay.

Option 4: A=40(3)^{t}

Here, a = 40, b = 3

As 3 > 1, the function is exponential growth.

Option 5: A=1700(1.07)^{t}

Here, a = 1700, b = 1.07

As 1.07 > 1, the function is exponential growth.

Option 6: A=1700(0.93)^{t}

Here, a = 1700, b = 0.93

As 0.93 < 1, the function is exponential decay.

5 0
3 years ago
Write an iterated integral for ModifyingBelow Integral from nothing to nothing Integral from nothing to nothing Integral from no
coldgirl [10]

With the given order of integration, the interval over D is

\displaystyle \iiint_D f(x,y,z) \, dV = \int_{-3}^{3} \int_{-\sqrt{9-x^2}}^{\sqrt{9-x^2}} \int_{-\sqrt{9-x^2-z^2}}^{\sqrt{9-x^2-z^2}} f(x,y,z) \, dy \, dz \, dx

8 0
3 years ago
The cost of hiring a plumber is shown by the equation � = 100� + 75, where n is the number of hours
harina [27]

Answer:

The minimum number of hours the plumer can work is 1 hour and 15 minutes and the maximum number of hours is 6.

Step-by-step explanation:

7 0
2 years ago
HELP ME PLEASE !!!!!!
Lunna [17]

Answer:

A

Step-by-step explanation:

The answer is (a) because that value is the y intercept meaning that it will be the value for price at the beginning of the time frame... in this case in January 2013 which is the beginning of the year.

Hope you find this helpful.

6 0
3 years ago
Someone please help, it was due yesterday UwU
irakobra [83]

Answer:

Step-by-step explanation:

Part A - Where did Phillip make a mistake? Justify your answer using complete sentences.

Use order of operation (PEMDAS)

He should multiply 8 x 4 first

Part B - Solve the expression correctly in the space below.

(5 x 9) - 8 x 4

= 45 - 32

= 13

Part C - Use the same rules of order of operations to solve the expression (8-4) +9 x 3. Explain your steps as you solve it.

(8-4) + 9 x 3

Step 1:   4 + 9 x 3  (Subtract in the parenthesis first)

Step 2:   4 + 27   (Multiply 9 x 3)

Step 3:   31         (Add)

7 0
3 years ago
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