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denis23 [38]
3 years ago
12

What are the domain and range of this function

Mathematics
1 answer:
tester [92]3 years ago
7 0

Answer:

The domain is all real numbers

The range is y ≥ -8

Step-by-step explanation:

The domain is the values that x can take

The domain is all real numbers

The range is the values that y can take

The range is y ≥ -8

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Cole earns $12.50 per hour and will receive a $0.75 per hour raise every year. Adam earns $10.50 per hour and will receive a $2
Ugo [173]
The equation for Cole's earnings per hour is
y = 12.5 + 0.75x
for Amad's:
y = 10.50 + 2x/2

When we equate them
12.5 + 0.75x = 10.50 + 2x/2
Solving for x
x = 2
They will have the same earning rate after 2 years
4 0
4 years ago
What is the difference between 61.8 and 27.3 write the answer as a decimal to nearest tenth (please answer ASAP)
kati45 [8]

Answer:34.5

Step-by-step explanation:

Difference = subtract

6 0
3 years ago
samantha threw an apple out of a window from the tenth floor of her appartment building. the equation y = -16t^2+120 can be used
ella [17]
Answer:
time taken = 2.74 seconds

Explanation:
We are given that:
y = -16t² + 120 models the situation where:
y is the floor number
t is the time taken for the apple to hit the ground

We are also given that the floor number (y) is 10. Therefore, all we have to do is substitute with y in the above equation and solve for the time t as follows:
y = -16t² + 120
10 = -16t² + 120
120 - 10 = 16t² 
110 = 16t²
t² = 110/16
t² = 6.875
either t = 2.74 seconds ..........> accepted
or t = -2.74 seconds .........> rejected as time cannot be in negative

Hope this helps :)
5 0
3 years ago
The figure below shows part of a stained-glass window depicting the rising sun. Which function can be used to find the area of t
Kryger [21]

Answer:

A(w) = w^2 + 5w - \frac{1}{8}\pi w^2

Step-by-step explanation:

A = the area of the region outside the semicircle but inside the rectangle

w = the width of the rectangle or diameter of the semicircle

Since "A" is determined by "w", therefore, "A" is a function of "w" = A(w).

A(w) = (area of rectangle) - (area of semicircle)

A(w) = (l*w) - (\frac{1}{2} \pi r^2)

Where,

lenght of rectangle (l) = w + 5

width of rectangle (w) = w

r = ½*w = \frac{w}{2}

Plug in the values:

A(w) = ((w + 5)*w) - (\frac{1}{2} \pi (\frac{w}{2})^2)

A(w) = ((w + 5)*w) - (\frac{1}{2} \pi (\frac{w}{2})^2)

Simplify

A(w) = (w^2 + 5w) - (\frac{1}{2} \pi (\frac{w^2}{4})

A(w) = w^2 + 5w - \frac{1}{2}*\pi*\frac{w^2}{4}* \pi

A(w) = w^2 + 5w - \frac{1*\pi*w^2}{2*4}

A(w) = w^2 + 5w - \frac{1*\pi w^2}{8}

A(w) = w^2 + 5w - \frac{1}{8}\pi w^2

3 0
3 years ago
Steve ordered plastic cases for storing his basketball cards each case has a length of 12 CM and a width of 6.5 cm , and height
AlladinOne [14]
Volume of a rectangular prism(the baseball card case) can be defined as follows:  V = lwh

V = lwh
V = 12(6.5)(1.25)
V = 97.5 cm³
6 0
3 years ago
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