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ale4655 [162]
2 years ago
14

If a = 2 and b = -3, find the value of a3 - b2. A.-31 B.-23 C.-1 D.15

Mathematics
2 answers:
adelina 88 [10]2 years ago
4 0

Plug in -3 for b, and 2 for a

2^3 - (-3)^2

Remember to always follow PEMDAS. First, do the exponents

2^3 = 2 x 2 x 2 = 8

(-3)^2 = -3 x -3 = 9

Subtract

8 - 9 = -1

-1 is your answer

hope this helps

valentinak56 [21]2 years ago
3 0

Hello!

So let's first start out by solving the left side of the equation:

2 to the third power is 8

The right side now: -3 to the second power is -9

In total: 8- (-9)

So your answer is C) -1

I hope it helps!

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A curve passes through the point (0,7) and has the property that the slope of the curve at every point P is five times the y-coo
iren [92.7K]

Answer:

y(x) = 7e^(5x)

Step-by-step explanation:

The question says that the slope of the curve at every point P is five times the y-coordinate of P. This means that

dy/dx = 5y

Refer to solutions of differential equations, dy/dt = ky, being in the form of y(t) = y(0) e^(kt)

Using the above stated law now, we can relate to our equation, saying that

y(x) = y(0) e^(5x)

The point given from the question is, (0, 7). This also means that y(0) = 7. So finally, we can have

y(x) = 7e^(5x)

And that is our needed equation of the curve

8 0
3 years ago
What is 6/10 simplified
Komok [63]
6/10 = 3/5

Simply divide the numerator and denominator of 6/10 by 2. 6/10 is the same as 3/5.
5 0
3 years ago
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Identify the figure that portrays the translation of the given preimage as indicated by the direction arrow.
ladessa [460]

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The translation is a category of motion in which one body moves along towards a particular direction and reaches a particular point.

In translation, the rotational motion is not present. Also, the translational motion is a one-dimensional motion.

In the given figure, the parallelogram is present at the tail of the arrow.

The arrow depicts the direction of the translational motion.

So, the parallelogram will reach the end of the arrow as shown in the picture present in the attachment.

For more explanation about translation or rotation, refer to the following link:

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6 0
1 year ago
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BaLLatris [955]

Answer: 0.4 or 2/5

Hope it helps!

5 0
2 years ago
Please help me on this question
Masja [62]

Answer:

The number is 5

Step-by-step explanation:

Let x be the number

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