Answer:
Initial Value: 25, Rate of change -5.
First. Lets find the rate of change.
y2-y1/x2-x1 = m
We have A(1,20) B(3,10)
10-20/3-1=-5
m=-5(Rate of change)
Now let's find the initial value using slope-point form.
y-y₁=m(x-x₁)
y-20=-5(x-1)
=-5x+5+20
=-5x+25
The initial value is the value of y when the value of x is equal to 0. (Also the Y-Intercept)
Initial Value = -5(0)+25
=25
Start: 21.5
After Tacos: 21.5*(1-1/4)=21.5*(3/4)=16.125
Used For Burgers: 16.125*(2/3)=10.75
Burgers: 10.75/(1/4)=10.75*4=43
Answer:
The quotient is (x² + 2x - 2)
The dividend is (2x³ + 7x² + 2x + 9)
The remainder is 15
The divisor is (2x + 3)
Step-by-step explanation:
- The quotient is the answer of the division
- The dividend is the part before (above) the division sign (bar of the fraction)
- The divisor is the part after (below) the division sign (bar of the fraction)
- The remainder is the part left over in a division problem
The relation between them is dividend ÷ divisor = quotient + ![\frac{remainder}{divisor}](https://tex.z-dn.net/?f=%5Cfrac%7Bremainder%7D%7Bdivisor%7D)
Ex: 37 ÷ 5 = 7 +
, where 37 is the dividend, 5 is the divisor, 7 is the quotient and 2 is the remainder
Let us solve the problem
∵ ![\frac{2x^{3}+7x^{2}+2x+9}{2x+3}=x^{2}+2x-2+\frac{15}{2x+3}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%5E%7B3%7D%2B7x%5E%7B2%7D%2B2x%2B9%7D%7B2x%2B3%7D%3Dx%5E%7B2%7D%2B2x-2%2B%5Cfrac%7B15%7D%7B2x%2B3%7D)
∵ dividend ÷ divisor = quotient + ![\frac{remainder}{divisor}](https://tex.z-dn.net/?f=%5Cfrac%7Bremainder%7D%7Bdivisor%7D)
- Compare the rule by the given problem
∴ The quotient is (x² + 2x - 2)
∴ The dividend is (2x³ + 7x² + 2x + 9)
∴ The remainder is 15
∴ The divisor is (2x + 3)
Answer:
160 miles because half of 300is 150 and 150-10=140 then 300-140=X or 160
Answer:
B.x2-4x=18
x2-4x+4=18+4
Step-by-step explanation:
When you complete the square your quadratic equation must be written in the standard form which is ax^2+bx+c.
First you are going to want to move your c term to the right (in this case move -18 to the right by adding 18 to both sides). This will get you x^2-4x=18. Now you are going to need to complete the square. To complete the square you divide the number in the bx term (in this case -4) by 2 and then square it. (-2^2=4 since a negative times a negative equals a positive). Now that you have 4 you are going to add it to both sides to get x2-4x+4=18+4.