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kotykmax [81]
3 years ago
10

Constance's car has a 12-gallon gas

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
3 0

Answer:

7.5 hours

Step-by-step explanation:

Constance's car has a 12-gallon gas tank.

She can travel 25 miles on one gallon of gas, so she can travel

25\cdot 12=300 miles using all gas from the tank.

Constance begins with a full tank of gas and drives at a constant rate of 40 miles per hour.

So, Constance can drive for

300 : 40=7.5 hours.

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The zero of F -1(x) in F(x) = x + 3 is
seropon [69]

Answer:

-3

Step-by-step explanation:

7 0
3 years ago
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Solve: x + 1 &lt; 5<br>Me confused and need help ​
natita [175]

Answer: x < 4

Step-by-step explanation: You are trying to isolate the variable, x, so you have to subtract 1 on both sides of the inequality. Then, you are left with x < 4.

4 0
3 years ago
What is the area of a circle. Using 3.14 for. A circle with diameter of 8.4 ft.
ira [324]

Hey there! I'm happy to help!

First, let's find the radius. The radius is half of the diameter.

8.4/2=4.2

Here's how to find the area of a circle.

Square the radius.

4.2²=17.64

And multiply by pi (3.14 in our case)

17.64(3.14)=55.3896

We round to the nearest tenth, giving us an area of 55.4 ft²

Have a wonderful day! :D

5 0
3 years ago
The equation below represents the function p.
svet-max [94.6K]
Answers:

1)Tthe first answer is that as x increases the value of  p(x) approaches a number that is greater than  q (x).


2) the y-intercept of the function p is greater than the y-intercept of the function q.


Explanation:


1) Value of the functions as x increases.


Function p:

p(x)=  ( \frac{2}{5} )^{x} -3

As x increases, the value of the function is the limit when x → ∞.

Since [2/5] is less than 1, the limit of [2/5]ˣ when x → ∞ is 0, and the limit of p(x) is 0 - 3 =  -3.

While in the graph you see that the function q has a horizontal asymptote that shows that the limit of q (x) when x → ∞ is - 4.

Then, the first answer is that as x increases the value of  p(x) approaches a number that is greater than  q (x).


2) y - intercepts.

i) To determine the y-intercept of the function p(x), just replace x = 0 in the equation:
p(x) = [ 2 / 5]⁰ - 3 = 1 - 3 = - 2

ii) The y-intercept of q(x) is read in the graph. It is - 3.

Then the answer is that the y-intercept of the function p is greater than the y-intercept of the function q.

4 0
3 years ago
Find the area of the figure.
Gnoma [55]
15.5 x 12.4 = 192.2 so the answer is 192.2 square feet.
8 0
3 years ago
Read 2 more answers
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