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Semenov [28]
3 years ago
7

A car traveling at a certain speed will travel 76 feet per second. How many miles will the car travel in 3.1 hours if it maintai

ns the same speed? Round to the nearest tenth (tenth in decimals).
Mathematics
1 answer:
murzikaleks [220]3 years ago
6 0
\sf  \frac{76~ feet}{1~second} \times  \frac{1~mile}{5280~feet} \times  \frac{3600~seconds}{1~hour} =  \frac{51.82~miles}{hour}

51.82 miles in one hour, so 51.28 x 3 = <span>155.46 miles in 3 hours.

Your answer is </span><span>155.46 miles in 3 hours.</span>
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For the graph, identify the axis of symmetry, vertex, y-intercept, max/min, and domain and range
kirill [66]

In the present problem, it is presented a figure of a graph of a parabola with concavity facing up, what implies in that the graph will not have a Max., but a Min. value, and it is in the vertex.

Let us start with the A.O.S. (Axis Of Symmetry). For a parabola, it is the line that passes in the minimum point, that can be identified in the present figure as being in the x = - 1 point. And for this reason, we are able to answer the first part as:

A.O.S.: x = -1

Now, as mentioned above, the vertex lies in the minimum point, which is located in the x = -1 and with height y = 2. This allow us to answer the second part as:

Vertex: (-1, 2)

About the y-interception, it happens when the graph passes through the y-axis. It happens when x = 0, and the answer is just the value of Y where the graph assumes x=0, which is at:

Y-intercept: y = 4

Because the parabola has concavity facing up, the graph presents a value of minimum, but no maximum. And this is possible to be identified as the point where x = -1 and y = 2, which lead us to the following answer for the third part of the question:

Min.: (-1 , 2)

The domain for any second-order polynomial is the entire real number because there is no restriction for the value of x. And for this reason, the answer of the fourth part of the answer is:

Domain: All real numbers

About the range, for a parabola with the concavity facing up, it can be determined as all the real numbers bigger or equal to the minimum value of the function, which is y = 2. From this reason, we are able to answer the last part of the question as:

Range: All real numbers ≥ 2
8 0
10 months ago
What is -4 9/16 written as a decimal?​
g100num [7]

Answer:-4,5625 i think

Step-by-step explanation:

4 0
2 years ago
Paul has $40000 to invest. His intent is to earn 9% interest on his investment. He can invest part of his money at 6% and part a
Black_prince [1.1K]

Paul needs to invest $10000 at 6% interest and $30000 at 10% interest to make a total of 9% return on his $40000.

<em><u>Explanation</u></em>

Suppose, the amount of money at 6% interest is x

As Paul has total $40000 to invest, so the amount of money at 10% interest will be: (40000-x) dollar

His intent is to earn 9% interest on his $40000 investment. So, the equation will be......

0.06x+0.10(40000-x)=0.09*40000\\ \\ 0.06x+4000-0.10x=3600\\ \\ -0.04x=3600-4000=-400\\ \\ x=\frac{-400}{-0.04}=10000

So, Paul needs to invest <u>$10000 at 6% interest</u> and ($40000- $10000) or <u>$30000 at 10% interest </u>to make a total of 9% return on his $40000.

3 0
3 years ago
Read 2 more answers
Where on a number line are the numbers x for which <br><br>|x|&gt;1
Andrews [41]

Answer:

Step-by-step explanation:

Given the inequality

|x|> 1

The modulus of x shows that x can be both positive and negative value.

If x is positive:

x>1

1<x

If x is negative:

-x>1

Multiplying both sides of the inequality by minus will change the inequality sign

x < -1

Combining both inequalities:

1<x<-1

Find the position on the number line in the attachment

6 0
3 years ago
What is the gcf of 16 and 25
Salsk061 [2.6K]
The GCF is 1. There is no other number that those numbers have in common.

Hope this helps!!
4 0
2 years ago
Read 2 more answers
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