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Bond [772]
2 years ago
9

Question 10 of 10

Mathematics
1 answer:
Alika [10]2 years ago
6 0

9514 1404 393

Answer:

  D. y = -1/3x

Step-by-step explanation:

The line through the origin means the equation will be a proportion of the form y = kx. (You can also see this by looking at the answer choices.) The value of k is ...

  k = y/x . . . . . divide the above equation by x

For the given point (x, y) = (-3, 1), the value of k can be seen to be ...

  k = 1/-3 = -1/3

Then the equation for the line is ...

  y = -1/3x . . . . matches D

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What number must be added to 14,056 to result in the sum of 38,773
Vlada [557]
24,717.
What you have to do is subtract 38,773-14,056 and then the answer would be 24,717. So all together 24,717 must be added to result in the sum of 38,773.
14,056+24,717=38,773.
8 0
3 years ago
The recipe shows the amounts of three ingredients used to make trail mix.
egoroff_w [7]
A. Because you would have to find the common denominator, which in this case is 24. You would change 2 1/3 to 2 8/24, 1 1/8 to 1 3/24 and 1 3/4 to 1 18/24. Add these all up and you get 5 5/24.
8 0
3 years ago
Expand (2+x)^-3<br><br><br><br><br><br><br><br> ....
pentagon [3]

Answer:

1/(x^3 + 6x^2 + 12x + 8)

Step-by-step explanation:

The first thing we do is rationalize this expression. (2+x)^-3 is written as

1/(2+x)^3

Then from there we can foil out the denominator. It is easiest to foil (2+x)(2+x) first and then multiply that product by (2+x).

(2+x)(2+x) = 4 + 4x + x^2

(4+4x+x^2)(2+x) = 8+8x+2x^2+4x+4x^2+x^3.

Then we combine like terms and put them in order to get:

x^3 + 6x^2 + 12x + 8

And of course we can't forget that this was raised to the negative third power, so our answer is 1/(x^3 + 6x^2 + 12x + 8)

6 0
2 years ago
Read 2 more answers
One container holds 1 7/8 quarts of water and A second container holds 5 3/4 quarts of water how many more quarts of water does
BartSMP [9]
5  \frac{3}{4} -1 \frac{7}{8} =  \frac{23}{4} - \frac{15}{8} = \frac{46}{8} - \frac{15}{8} = \frac{46-15}{8} = \frac{31}{8} = \boxed {3 \frac{7}{8} }
4 0
3 years ago
Solve for 5+n/8=4 show your work
Aleks [24]

Answer:

n = -8

Step-by-step explanation:

5+n/8=4

Subtract 5 from each side

5-5+n/8=4-5

n/8 = -1

Multiply each side by 8

n/8 * 8 = -1 *8

n = -8

5 0
3 years ago
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