Answer:
D. 
Step-by-step explanation:
Any parabola is modelled by a second-order polynomial, whose standard form is:
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
, 
, 
- Coefficients, dimensionless.
In addition, a system of three linear equations is constructed by using all known inputs:
(-2, 0)
(Eq. 1)
(4, 0)
(Eq. 2)
(0,-16)
(Eq. 3)
Then,
(Eq. 4)
(Eq. 5)
(Eq. 3 in Eqs. 1 - 2)
By Eq. 4 (Eq. 4b)
Then,
(Eq. 4b in Eq. 5)
The remaining coeffcient is:
The function that represents a parabola with zeroes at x = -2 and x = 4 and y-intercept (0,16) is . Thus, the right answer is D.
Answer:
2x + y - 6 = 0
OR 2x + y = 6
Step-by-step explanation:
First write the equation given in the problem:
y = -2x + 6 This is in slope-intercept form (y = mx + b).
Standard form is written Ax + By + C = 0. When C is a negative number, you might also see it as Ax + By = -C.
The main difference between the two forms in that slope-intercept form isolates the 'y' whereas standard form equates to 0. Don't confuse the 'b' in standard from with the 'B' in slope-intercept form.
To convert from slope-intercept form to standard form, <u>move everything over to the side with 'y'</u>. When you move something, you do its reverse operation to the whole equation. (The reverse of addition is subtraction, the reverse of multiplication is division.)
y = -2x + 6 Do the reverse operations for -2x and +6
y + 2x - 6 = -2x + 2x + 6 - 6 Add 2x and subtract 6 on both sides
y + 2x - 6 = 0 Right side cancels out to be '0'.
2x + y - 6 = 0 Rewrite with the 'x' in front of the 'y'
Here you can see the new equation and what each variable in Ax + By + C = 0 is.
A = 2
B = 1 When a number is not written with the variable, it is 1.
C = -6
Some teachers ask it to be rewritten as Ax + By = -C when 'C' is a negative number.
2x + y = 6
6000. All you have to do is multiply lengthxwidthxheigth
Let us assume the number of cd's you can buy = x
Cost of an used CD = $4.25
Total amount of money that you have = $1500
Then
<span>x ≤ 15 − 4.25
</span>x ≤ 10.75
I hope the procedure is clear enough for you to understand. I also hope that this is the answer that you were looking for and the answer has actually come to your desired help.
Answer:
Step-by-step explanation:
Use the basic simple interest formula:
P * r * t = I and put the info into a table with those variables along the top, formig the columns we need:
P * r * t = I
Acct 1
Acct 2
If we have a total of 1500 to split up between 2 accounts, we put x amount of money into one and then have 1500-x left to put into the other. We will fill those in along with the interest rates in decimal form and the time of 1 year:
P * r * t = I
Acct 1 x .04 1
Acct 2 1500-x .05 1
Looking at the formula we are told that Prt = I, so we will multiply P times r times t and fill in the I column:
P * r * t - I
Acct 1 x .04 1 .04x
Acct 2 1500-x .05 1 .05(1500-x)
The total Interest earned by the addition of the interest earned from both accounts is 69.50. So we add the interest column together and set it equal to 69.50:
.04x + .05(1500 - x) = 69.50 and
.04x + 75 - .05x = 69.50 and
-.01x = -5.5 so
x = 550
That's how much money is in the account earning 4% interest.
