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astraxan [27]
3 years ago
9

describe two different ways that you could find the product 8 times 997 using mental math. Find the product and explain why your

methods work
Mathematics
1 answer:
Free_Kalibri [48]3 years ago
3 0

Answer:

First in your head multiply 8 by 7. this equals 56. now multiply 8 by 9 twice since there is two 9's. now you have two 72's. Add the 2's together from both 72's. now your numbers are 70, 70, 56 and 4. Add the four to your 5 which is now 96. split 96 between the 70's. not dividing just the two numbers. now you have 79, and 76. put together your numbers and your answer is 7976.

Step-by-step explanation:

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The sum of twice a number and 2 is greater than 4
laila [671]

Let's make the inequality.

The sum of twice a number and 2. We're adding and multiply. X will be the number. 2x+2

Is greater than 4. We'll be using the greater than sign. >4; let's put it together.

2x+2>4; let's solve. First by subtracting two on both sides. 2x>2; let's divide by 2. x>1

So, the inequality is 2x+2>4. To solve it, it is x>1.

5 0
3 years ago
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PLEASE I NEED HELP 10 points (dont waste them) What is the area of this figure?
meriva

Answer:

1280

Step-by-step explanation:

I think it is 1280 because 20*16*8/2=1280. I am not 100% sure.

4 0
3 years ago
What is the solution to the system of equations? x=4y 6 x-3y=4
ahrayia [7]
If you graph the two equations then you will find that they intersect at (-2,-2).

You then have to check your answer.

x=4y+6
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8 0
3 years ago
Use a graphing utility to graph the function and the damping factor of the function in the same viewing window.
Bas_tet [7]

Answer:

The function touches the damping factor

at x=\frac{(4n-3)\pi}{2} and x=\frac{(4n-1)\pi}{2}

The x-intercept of f(x) is

at x=n\pi

Step-by-step explanation:

Given function is f(x)=e^{-3x} sin(x) and damping factor as y=e^{-3x} and y=(-1)e^{-3x}

To find when function touches the damping factor:

For f(x)=e^{-3x} sin(x) and y=e^{-3x}

Equating the both the equation,

e^{-3x} sin(x)=e^{-3x}

sin(x)=1

x=\frac{(4n-3)\pi}{2}

For f(x)=e^{-3x} sin(x) and y=(-1)e^{-3x}

Equating the both the equation,

e^{-3x} sin(x)=(-1)e^{-3x}

sin(x)=(-1)

x=\frac{(4n-1)\pi}{2}

Therefore, The function touches the damping factor x=\frac{(4n-3)\pi}{2} and x=\frac{(4n-1)\pi}{2}

To find x-intercept of f(x):

For x-intercept, y=0

f(x)=e^{-3x} sin(x)

y=e^{-3x} sin(x)

e^{-3x} sin(x)=0

Hence, e^{-3x} is always greater than zero.

Therefore,sin(x)=0

x=n\pi

Thus,

The x-intercept of f(x) is at x=n\pi

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oee [108]
1, 3, 5, 9, 15, and 45.
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