A)
x^2 - 6x + c = - 5 + c
using a^2 - 2ab + b^2 = (a-b)^2
so
6x = 2 * x * 3
so
c = 9
Answer
c = 9
b)
substitute c = 9
x^2 - 6x + 9 = - 5 + 9
(x - 3)^2 = 4
Answer:
(x - 3)^2 = 4
c) solve for x
(x - 3)^2 = 4
(x - 3)^2 = 2^2
so
x - 3 = 2
x = 5
and
x - 3 = -2
x = 1
Answer: x = 1 , 3
Answer: y = 2x/3 - 5
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent.
The given line has a slope of 2/3 and it passes through (0,- 5)
To determine the intercept, we would substitute x = 0, y = - 5 and m= 2/3 into y = mx + c. It becomes
- 5 = 3/2 × 0 + c
c = - 5
The equation becomes
y = 2x/3 - 5
Answer:
33 minutes
Step-by-step explanation:
We know that the initial amount of money on the card is $15 and that she had $12.03 after the call. We can subtract 12.03 from 15 to find out how much the call cost.
15 - 12.03 = 2.97
Now that we know the cost of the call is $2.97, we can divide it by the amount it cost per minute (9 cents) for Susan to make an international call:
First, convert $2.97 to cents:
$2 is the same as 200 cents.
200 + 97 = 297
Now, take 297 and divide it by 9:
297/9 = 33
The call lasted 33 minutes.
Your answer would be:
Formula: I = P * r * t
P = Principle $5000
R = Rate 2.5% per year, or in decimal form, 2.5/100 =0.025
T = Time involved 7 years time period
I = Interest
Part A:
P = 5000
R = 2.5%, or .025
Part B: Riley To find the simple interest, we multiply
I = 5000 * 0.025 * 7
T = 7
The Interest is = $875.00
Part C: Investment Balance = Investment + Interest
Usually the interest is added onto the principal t figure out the new amount after 7 years.
= $5000.00 + $875
= $5875.00
Ex. if you borrowed $5000, you would now owed $5875.00
Hope that helps!!!
Answer:
n(B) = 1350
Step-by-step explanation:
Using Venn sets, we have that:
Three values are given in the exercise.
The other is n(B), which we have to find. So
So
n(B) = 1350
