Answer:
1. x = 7
2. x = -5
Step-by-step explanation:
1. Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: 2*x+5*(6*x-9)-(179)=0
Pull out like factors 6x - 9 = 3 • (2x - 3)
(2x + 15 • (2x - 3)) - 179 = 0
Pull out like factors: 32x - 224 = 32 • (x - 7)
Solve: x-7 = 0
Add 7 to both sides of the equation = 7
2. Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: -40-(6*x-5*(-4*x-18))=0
Pull out like factors: -4x - 18 = -2 • (2x + 9)
-40 - (6x - -10 • (2x + 9)) = 0
Pull out like factors: -26x - 130 = -26 • (x + 5)
-26 • (x + 5) = 0
Solve: x+5 = 0
Subtract 5 from both sides of the equation: x = -5
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Answer:
x = 11/2
Step-by-step explanation:
Answer:
Option A is correct.
y = 35.4 bushels per acre when rainfall = 7.1 inches
Step-by-step explanation:
An image of the steps to obtain the equation that relates x to y is attached to this answer.
n = number of variables = 9
μₓ = mean of variable x (rainfall in inches)
μᵧ = mean of variable y (yield in bushels per acre)
σₓ = standard deviation of variable x (rainfall in inches)
σᵧ = standard deviation of variable y (yield in bushels per acre)
y = 4.379x + 4.268
when x = 7.1
y = 4.379(7.1) + 4.268 = 35.3589 = 35.4 bushels per acre.
Answer:
101
Step-by-step explanation:
The theorem to use this is the intercepted arc theorem, which tells us that if we take 2 points on the circumference of a circle and create an angle in the opposite side of the circumference, that angle is HALF that of the ARC intercepted.
If we look at 100 degree angle, we see the ARC intercepted is 99 degree and a degrees. According to theorem, we can say:
99 + a = 2(100)
99 + a = 200
a = 200 - 99
a = 101
Answer: A. 1 pound of cabbage will cost 40 cents. B. (10,4) means that 10 pounds of cabbage will cost 4 dollars.
Step-by-step explanation:
If it is proportional that means the y value divided by the x value will give you a constant slope.
So using that use the coordinates (5,2) to find the cost of 1 pound of cabbage.
2/5 = 0.4
so you could write the equation y= 0.4x where x is the number of pound.
Part A: y= 0.4(1)
y= $0.40 which means one pound of cabbage will cost 40 cents.
Part B. (10,4) in this case it will means that for 10 pounds of cabbage it will cost $4.
Plot it into the equation and find out
in the coordinates (10,4) 4 is the y and 10 is the x
4= 0.4(10)
4= 4
Which means it true that 10 pounds of cabbage will cost 4 dollars.
