Answer:
Step-by-step explanation:
-x + 2y = 16
y = mx + 8
Start with the top equation. Add x to both sides.
-x + 2y + x = x + 16 Combine the left
2y = x + 16 Divide by 2
2y/2 = (1/2)x + 1/2(16)
y = 1/2 x + 8
If m = 1/2, both equations together will give an infinite number of solutions.
1) x + 2xyz
2) 3x + y + z
3) 2x³y + y²x - 3x + 4
4) 9x³yz
Least to greatest: 2 , 1, 4, 3,
Let us assume that x = 3; y = 2; z = 1 and we disregard the coefficients
1) x + 2xyz ⇒ 3 + (3)(2)(1) = 9
2) 3x + y + z ⇒ 3 + 2 + 1 = 6
3) 2x³y + y²x - 3x + 4 ⇒ (3³)(2) + (2²)(3) - 3 = 63
<span>4) 9x³yz </span>⇒ (3³)(2)(1) = 54
Least to greatest ; 2) 6 ; 1) 9 ; 4) 54 ; 3) 63.
We disregarded the coefficients because the expressions are organized based mainly on their degree.
Around 150 rotations
I rounded the radius to feet which is 1 foot. Then you have to get the diameter which is 1x2=2. The diameter is 2 feet. Now for the circumference, we multiply 2 by 3.14(which is pi). The answer to that is 6.28, and since we are rounding it, we get 6 feet. However, we are traveling 900 feet. Divide 900 by 6 and get 150.
Total socks = 4 + 7+ 11 = 22
Red = 4
White = 7
P(red, then white) = (4/22)(7/21) = 2/33
Answer: 2/33
The piece-wise linear functions can be written as follows:
.
.
.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For x equal or less than -2, the line passes through (-3,-3) and (-2,-2), hence the rule is:
.
For x greater than -2 up to 1, the y-intercept is of -7, and the line also passes through (1,-8), hence the rule is:
.
For x greater than 1, the function goes through (2,-5) and (3,-3), hence the slope is:
m = (-3 - (-5))(3 - 2) = 2.
The rule is:
y = 2x + b.
When x = 2, y = -5, hence:
-5 = 2(2) + b
b = -9.
Hence:
.
More can be learned about linear functions at brainly.com/question/24808124
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