<em>It depends how many days you'ill watch the dog, but let's suppose you watch the dog for a week, Your friend #1 will pay you $10 + 2 Per day (10 + 2x = Y) and friend #2 will pay you $15 plus 1 per day ( 15 + 1x = y)
So a week has 7 days so you plug in 7 in "x"
Friend #1 = 10 + 2(7) = 24
Friend #2 = 15 + 1(7) = 22
I'll take friend #1 offer because it pays you more than friend #2.
Hope this answer helps!</em>
To calculate the mean weights of the potatoes, the weights are all added and divided by the number of potatoes.
The sum of all the potatoes - <span>5 + 8 + 9 + 11 + 7 + 7 + 8 + 9 + 12 + 7 = 83
the number of potatoes - 10
we have to divide the sum of weights by 10
Mean weight = 83/10 = 8.3
Rounded off to the nearest ounce - 8 </span>ounces
Step-by-step explanation:
I guess method 1 means to deal with whole factors.
x + 5 = (x - 2)(x + 5)
for (x + 5) <> 0 we can divide both sides by this factor :
1 = x - 2
x = 3
for the second solution we deal with
x + 5 = 0
x = -5
so, for x = -5 and x = 3 both functions deliver the same output, and these are the intersection points.
method 2 : we multiply the expression out and solve it then
x + 5 = (x - 2)(x + 5)
x + 5 = x² + 5x - 2x - 10 = x² + 3x - 10
0 = x² + 2x - 15
the general solution to such a square equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 2
c = -15
x = (-2 ± sqrt(2² - 4×1×-15))/(2×1) =
= (-2 ± sqrt(4 + 60))/2 = (-2 ± sqrt(64))/2 = (-2 ± 8)/2 =
= -1 ± 4
x1 = -1 + 4 = 3
x2 = -1 - 4 = -5
and you get the 2 solutions again. as expected, they are the same as with method 1, of course.
Answer: 16.8
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Explanation:
The lower case letters represent the side lengths.
The uppercase letters represent the angles.
Side 'a' is opposite angle A
Side 'b' is opposite angle B
Side 'c' is opposite angle C
Angle A is 62 degrees because you would solve A+B+C = 180 for A. Or you can compute 180-B-C = 180-82-36 to get the same result for angle A.
Once you know the measure of angle A, you can use the law of sines
sin(A)/a = sin(B)/b
sin(62)/15 = sin(82)/b
b*sin(62) = 15*sin(82)
b = 15*sin(82)/sin(62)
b = 16.8232193521557 <<--- see note below
b = 16.8
note: use a calculator for that step. Make sure the calculator is in degree mode