15 points-What is the equation in slope-intercept form of the linear function represented by the table?
Answers
y=mx+b
m=slope
b=y-intercept.
1) We need to know the value of the slope (m):
Given two points (x₁,y₁) and (x₂,y₂) the slope of the line passes through these points will be:
m=(y₂-y₁)/(x₂-x₁)
We choose two points of this line:
(-1,-8)
(4,2)
The slope will be: m=(2+8)/(4+1)=10/5=2
2) we have to find the y-intercept (b) of this line:
we choose any point of this line: for example (4,2) and plug in this point in this equation:
y=mx+b
therefore:
2=2(4)+b
2=8+b
b=2-8
b=-6
3) we can already make up the equation:
Data:
m=2
b=-6
y=mx+b
y=2x-6
Answer: y=2x-6
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Answer:
Step-by-step explanation:
Standard equation of a circle is
As the radius is half of the diameter we can divide 12 by 2 to get a radius, then we can input values into this equation.
Answers
To find how ounces Sandy's pitcher holds, we must do:
(64×2)+(48×4)=Total amount of lemonade
128+192=320 ounces
So, Sandy has 320 ounces of lemonade.
Final answer:
Sandy's pitchers can hold a total of 320 ounces of lemonade. This is calculated by multiplying the number of pitchers by the ounces each can hold, and then adding the totals for each group of pitchers.
Explanation:
To find the total amount of lemonade Sandy's pitchers can hold, you first need to calculate how much each group of pitchers can hold. Two pitchers can hold 64 ounces each, so for these two pitchers, the calculation is 2 pitchers * 64 ounces/pitcher = 128 ounces.
Similarly, four pitchers can hold 48 ounces each. So, for these four pitchers, the calculation is 4 pitchers * 48 ounces/pitcher = 192 ounces.
Finally, to find the total amount of ounces all pitchers can hold, you add the totals from each group of pitchers. The calculation is 128 ounces + 192 ounces = 320 ounces. Therefore, Sandy's pitchers can hold a total of 320 ounces of lemonade.
Learn more about Mathematical Calculation here:
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Answers
8 x 5 = 40
15 x 6 = 90
40/90 can be simplified (÷10) to 4/9
=8/18
=4/9
=0.444
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450 x 100 = 450,000
Or 450 x 1000= 450,000
500,000 - 450,000= 50,000
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when we are talking about a difference it is always subtraction
the sum is adding
the product is multiplying
the quotient is dividing
Hope this helps(;