Answer: y = 4/3x -8
Step-by-step explanation:
(6,0) (0,-8)
0-(-8)/6-0 = 8/6 = 4/3
y intercept is given already
Answer:
The value of the car after 3 years is R$58.320.
O valor do carro ao final desse período é R$58.320.
Step-by-step explanation:
The value of the car after t years is given by the following equation:
In which V(0) is the initial value and r is the yearly depreciation rate.
In this question, we have that:
So
Value of the car at the end of 3 years:
The value of the car after 3 years is R$58.320.
O valor do carro ao final desse período é R$58.320.
Answer:
∠7 = 81°
Step-by-step explanation:
∠1 = ∠7
3x + 18 = 2x + 39
3x - 2x = 39 - 18
x = 21
∠7 = 2x + 39
∠7 = 2(21) + 39
∠7 = 42 + 39
∠7 = 81°
Width-24 Length-29
Two sides of the rectangle are 5 cm bigger than the other two. So you would add the two 5 cm together (10cm). If you take the 10 cm off you (106-10) you will get a square. Then all you have to do is divide 96 by 4 (24), and add back on the two 5cm from the beginning to the length (29).
Answer:
A. -1.25 ft/hour — the number of feet the pool depth changes in 1 hour
B. 1 is the depth in feet of the pool when x=0 (at the start of it being filled)
Step-by-step explanation:
In these questions, the pool depth is represented by a linear equation in slope-intercept form. The equation gives depth in feet while the independent variable represents a number of hours.
A slope-intercept equation has the form
y = mx +b . . . where m is the slope (rate of change) and y is the intercept
The y-intercept (b) is the "initial value," the value of y when x=0.
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<h3>A. </h3>
The equation ...
y = -1.25x +5
represents the depth of water in the Kim family pool. Comparing to the slope-intercept form, we see m = -1.25. That is, the "rate of change" is -1.25. When that value is multiplied by x hours, it gives a result in feet. That is, the units of the rate of change are feet/hour.
The "rate of change" of -1.25 in this context is telling you the depth is decreasing by 1.25 feet every hour as the pool is being drained.
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<h3>B.</h3>
The equation ...
y = 1/2x +1
represents the depth of water in the Gutierrez family pool. Comparing to the slope-intercept form, we see b = 1. This is the initial value of depth, the value when x=0, the pool has been filling for 0 hours. It means the water in the pool is 1 foot deep when the pool starts filling.