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2 years ago

I need help with #7, I am not sure how to solve it and what interval means

Mathematics

1 answer:

Flura [38]2 years ago

8 0

Find solutions between the intervals
-3, -2, -1, 0, 1, 2, 3

You got the basic idea how to solve it but:

when you have 2^-3, it's not -8
2^-3 = 1/2^3 = 1/8
same goes with -2 and -1

When you have negative power you basically divide n^-x = 1/n^x

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What is the equation of the line that passes through the points (-4,1) and (4-1)

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Answer:

y=-1/4x

Step-by-step explanation:

METHOD 1: The basic slope-intercept equation is <em>y=ax+b</em>. To achieve the slope with two points, this is the equation:

$m = \frac{y2-y1}{x2-x1}$

All you have to do is insert points (-4, 1) and (4, -1) into their corresponding locations.

$m = \frac{(-1)-1}{4-(-4)}$

With this equation, you will be able to find the slope. Then you can simply graph it to connect the two dots.

METHOD 2: Simply connect the two dots with a straight line (use a ruler or something with a straight edge.) Then count how many spaces up/down and left/right. If the line goes from top to bottom from left to right, it is a negative slope (hence, the -1/4.)

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2 years ago

A family prepares an emergency kit for their home. The kit contains 63 gallons of drinking water. The family's daily drinking w

mr_godi [17]

Answer:

12 days

Step-by-step explanation:

Total gallons of the family's drinking water needs = gallons consumed by children + gallons consumed by adults

3 $\frac{1}{2}$ + 1 $\frac{3}{4}$ =

Converting to decimals

3.5 + 1.75 = 5.25 = 5 $\frac{1}{4}$

If there are 63 gallons, the water supply would last for :

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Answer:

27.77%

Step-by-step explanation:

The probability of not drawn a red ball is 3/6. The probability of not drawn a green ball is 4/6, and the probability of not drawn a yellow ball is 5/6. So, the probability of not drawn at least one color is the multiplication of the probabilities of each color, so (3/6)*(5/6)*(4/6) = 0.2777.

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