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Mashutka [201]
3 years ago
11

Aubrey and Charlie are driving to a city that is 120 mi from their house. They have already traveled 20 mi, and they are driving

at a constant rate of 50 mi/h. Use the function you wrote in Item 4 to complete the following:
f(1.5) = _____. The value indicates that after _____ hours of driving,
Aubrey and Charlie will have traveled _____ miles.
Mathematics
2 answers:
frozen [14]3 years ago
7 0

Answer:

1 First blank; f(1.5)=95    2 Blank; 1.5    3 Blank; 95

Step-by-step explanation:

you use the equation f(x)=50x+20 and put 1.5 in

f(1.5)=50(1.5)+20   =    f(1.5)=95

you get 95, and that is the number of miles

1.5 is number of hours

Ad libitum [116K]3 years ago
6 0

Answer:

1. The total distance will be equal to 20 miles plus the remaining distance which would be obtained when you multiply the speed to time t. The equation would be written as follows:

120 = 20 + 50t

2. The minimum time would be 0 hours. The maximum time is when the total distance of 120 is fully covered.

t ≤ (120 - 20)/50

t ≤ 2 hours

Thus, the domain would be 0 < t ≤ 2.

Step-by-step explanation:

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I need to know this
stiv31 [10]

Answer:

12

Step-by-step explanation:

24/x = x/6

x^2 =24*6 = 144

x=12

4 0
2 years ago
You need to fence in a rectangular piece of land for your dog to run and play. The length is 3 times the width. If the perimeter
nikitadnepr [17]

Answer:

Width = 15 feet

Length = 45 feet

Step-by-step explanation:

You need to fence in a rectangular piece of land for your dog to run and play. The length is 3 times the width. If the perimeter is 120 ft, what are the dimensions of your very own dog park?

Perimeter of a rectangle = 2L + 2W

The length is 3 times the width.

L = Length = 3W

W = Width

P = 120 ft

Hence:

120 = 2L + 2W

120 = 2(3W) + 2W

120 = 6W + 2W

120 = 8W

W = 120/8

W = 15 feet

Solving for Length

L = 3W

L = 3 × 15 feet

L = 45 feet

Therefore, the dimensions of your very own dog park is

Width = 15 feet

Length = 45 feet

3 0
3 years ago
how to Evaluate the expression, given functions f and g: f(x) = 3x - 2, g(x) = 7 – x^2. 3f(1) – 2g(-2)​
omeli [17]
3x that answers end of the yearrr
8 0
2 years ago
Please help due ASAP <br> Show workings
Minchanka [31]

Answer:

WZ = 30

Step-by-step explanation:

set up equation based on WZ = W'Z'

3/4[6x + 10] = 13x - 35

multiply each side of equation by 4 to eliminate fractions:

18x + 30 = 52x - 140

-34x = -170

x = 5

substitute 5 for 'x' in either expression:

13(5) - 35

65 - 35 = 30

6 0
3 years ago
Read 2 more answers
The general form of the equation of a circle is x^2+y^2−4x−8y−5=0.
lakkis [162]
X² - 4x    + y² - 8y    = 5

Complete the square:
x² - 4x + (4) +  y² - 8y + (16)    = 5 + (4) + (16)
→  (x - 2)²    +  (y - 4)²    = 25

Center: (2,4)
radius: √25 = 5
5 0
3 years ago
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