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4 years ago

Find two integers whose sum is 2 and whose product is -24

1 answer:

4 0

The integers would be x and y.
Therefore, we can suggest this system of equations:
x+y=2
xy=-24
We can solve this system of equations by substitution method.
x+y=2; ⇒y=(2-x)
then:

x(2-x)=-24
2x-x²=-24
x²-2x-24=0

x=[2⁺₋√(4+96)]/2=(2⁺₋10)/2
we would have two possible solutions:
x₁=(2-10)/2=-4 ⇒y₁=(2-x)=2+4=6
x₂=(2+10)/2=6 ⇒y₂=(2-x)=2-6=-4

We can see the numbers would be -4 and 6.

Answer: the numbers would be: -4 and 6.

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3 years ago

What is the total volume of the snow used to make the snowman if the head is 12 inches wide, the middle is 16 inches wide, and t

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3 years ago

Use inductive reasoning to predict the most probable next number in each list.

PolarNik [594]

Answer:

Step-by-step explanation:

First differences increase by 4 each time. The given numbers are a quadratic sequence that can be described by 2n² -2n +9. The 7th term would be 93.

_____

First differences are ...

13-9 = 4, 21-13 = 8, 33-21 = 12, 49-33 = 16, 69-49 = 20

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8-4 = 4, 12-8 = 4, 16-12 = 4, 20-16 = 4

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3 years ago

Please answer the question step by step!

erma4kov [3.2K]

Answer:

Step-by-step explanation:

See the figure below.

This is how you graph directly from the equation in the slope-intercept form (y = mx + b) without having to create a table of x and y values.

The equation is

y = -2/3 x + 1

Compare it with

y = mx + b

b = 1

The y-intercept is 1, so mark 1 on the y-axis. (You already did.)

I placed a black dot there.

The slope is m.

m = -2/3

slope = m = rise/run

A slope of -2/3 can be though of as -2 rise and 3 run. That means start from the y-intercept, and go -2 in y (a rise of 2 down) and 3 in x (a run 3 right). Point graphed in red.

Mathematically, -2/3 is the same as 2/(-3), so starting again from the y-intercept, this slope can also be though of as rise of 2 in y (a rise of 2 up) and a run of -3 in x (a run of 3 left). Point graphed in green.

The line is graphed in blue.

5 0

3 years ago

Read 2 more answers