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Nataly_w [17]
4 years ago
12

If y = 3ab + 2b3, what is y when a = 1 and b = 2

Mathematics
1 answer:
Readme [11.4K]4 years ago
6 0

Answer:

\large\boxed{y=22}

Step-by-step explanation:

In this question, we're trying to find what y equals to when a = 1 and b = 2.

This means that we would be plugging in the numbers to its appropriate variable.

You would plug 1 in a and 2 in b.

Your equation should look like this:

y=3(1)(2)+2(2)^3

Now, we will solve:

y=3(1)(2)+2(2)^3\\\\y=3(2)+2(2)^3\\\\y=6+2(2)^3\\\\(2)^3 \,\text{is the same as}\,\, 2*2*2\\\\y=6+2(8)\\\\y=6+16\\\\y=22

When you're done solving, you should get y = 22

This means that y = 22

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
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Which statement is not always true?
earnstyle [38]
A. True. Summing any rational number with an irrational number leads to an irrational result. The proof is a bit lengthy so I'm leaving it out. 

B. True. Adding p/q with r/s leads to (ps+qr)/(qs) which is rational. Keep in mind that q and s cannot be zero.

C. False. One counter example is sqrt(3)*sqrt(12) = sqrt(3*12) = sqrt(36) = 6. This shows the product of two irrational numbers, in this case sqrt(3) and sqrt(12), multiplying to get a rational result 6 = 6/1.

D. True. Multiplying p/q and r/s leads to (p*r)/(q*s) which is rational. Keep in mind that q and s cannot be zero.

----------------------------------------------------------------------

The final answer is choice C
6 0
3 years ago
Which transformation of AB will produce a line segment A'B' that is parallel to AB?
lyudmila [28]

<em>Options:</em>

<em>Rotation of 180° about point B </em>

<em>Rotation of 90° about point b </em>

<em>Reflection over the x-axis </em>

<em>Translation down 2 units</em>

<em></em>

Answer:

Rotation of 180° about point B

<em></em>

Step-by-step explanation:

Considering coordinates of point B

Assume the coordinates of the line at point B is (x,y)

i.e. B = (x,y)

First, we need to determine the slope at point B

Taking coordinates about the origin.

The slope of B is:

m = \frac{y_2 - y_1}{x_2 - x_1}

Where

(x_1,y_1) = (0,0) --- origin

(x_2,y_2) = (x,y)

m = \frac{y_2 - y_1}{x_2 - x_1} becomes

m = \frac{y - 0}{x - 0}

m = \frac{y}{x}

Taking the options one after the other:

Option A.

When rotated by 180°, the resulting coordinates of B would be

B' = (-x,-y)

Taking the slope of B'

The slope of B is:

m = \frac{y_2 - y_1}{x_2 - x_1}

Where

(x_1,y_1) = (0,0) --- origin

(x_2,y_2) = (-x,-y)

m = \frac{y_2 - y_1}{x_2 - x_1} becomes

m = \frac{-y - 0}{-x - 0}

m = \frac{-y}{-x}

m = \frac{y}{x}

Notice that the slope of B and B' is the same;

m = \frac{y}{x}

<em>Hence:</em>

<em>Rotation of 180° about point B  answers the question</em>

<em></em>

<em>There's no need to check for other options</em>

8 0
3 years ago
The picture is the answer​
kari74 [83]

Answer:

4. 3

The answer is the last option, all you do is reduce

Step-by-step explanation:

rise over run = rise/run = 6/2

reduce,

6/2

3/1

3x

6 0
3 years ago
I really need help with this question
DiKsa [7]
Never did that before 
5 0
4 years ago
The following set of ordered pairs is an example of direct variation, find the constant ratio between the variables. (Hint: Find
iVinArrow [24]
Use formula y = k x and find value of k using any of the coordinates
6 0
3 years ago
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