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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The ratio of similar areas is the square of the ratio of the scale factor.
Circle R's sector is (5/2)² = 25/4 the area of Circle Q's sector.
X^2 - 5xy + 6y^2 = <span>(x - 3y)(x - 2y)
answer is </span><span>C) (x - 3y)(x - 2y)
hope that helps</span>
Answer:
92 million miles
Step-by-step explanation:
hope this helps
sorry if it is wrong
plz mark brainliest
Answer:
$151.88 costs to Dan algebraic form
$245/2 = $122.50+20+15 = 157.5 is the answer though.
Step-by-step explanation:
35x+20(x-1)
35x + (20x -1)
35x +20x -1
35x -20x-20
x= 53/11
53/11 = 4.81
4.81 x 20 = $96.20 on chairs
4.81 x 15 = 72.15 on umbrella
96+72 = 168.35
245-168.35 = 76.65
76.65 + 20 = 96.65
Because we subtracted to get 168.35 we have the difference of $15 which is the difference of what he and she paid we half this amount = $7.50 half the 0.45 additional found on Dans $96.65 = $0.22 and find $7.72 balance to add to his 96.20
Added together his costs out of 245 was $104.37+ 76.65 = $181.20
Costs of umbrella = 76.65/2 = 39.325
181.20 -29.325=151.87 rounded up to 151.87
As x = 53/11 the decimal of this is 4.81 = x
