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Dimas [21]
3 years ago
10

On Pennsylvania's interstate highway the speed limit is 65 mph. The minimum speed is 45 mph. Write a compound inequality that re

presents the speeds at which you may legally drive.​
Mathematics
1 answer:
qaws [65]3 years ago
6 0

Let x be the speed.

Maximum is 65 so x needs to be less than or equal to 65.

The minimum is 45, so x also has to be greater than or equal to 45

45 <= x => 65

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Which value of x is in the domain of f(t) = squared x - 7
zloy xaker [14]

Given:

The given function is:

f(x)=\sqrt{x-7}

To find:

The value of x that is in the domain.

Solution:

Domain is the set of input values.

We have,

f(x)=\sqrt{x-7}

We know that the square root is defined for non negative values. So,

x-7\geq 0

x\geq 0+7

x\geq 7

Thus, the domain of the given function is all real number that are greater than or equal to 7.

In the given options 0, -3, 6 are less than 7 but 8 in option A is the only value that is greater than 7. So, x=8 is in the domain of the given function.

Therefore, the correct option is A.

8 0
3 years ago
Find a formula for the nth term in this arithmetic sequence. a1=0, a2=0.5, a3=1, a4=1.5
MrRissso [65]

Answer:

nth term is;

0.5n-0.5

Step-by-step explanation:

As we can see, the first term is 0

The common difference is 0.5-0= 1-0.5 = 1.5-1 = 0.5

Formula for nth term of an arithmetic sequence is;

a + (n-1)d

So we have

0 + (n-1) 0.5

= 0.5n-0.5

6 0
3 years ago
16. A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain. (2 points)
timurjin [86]

Answer:

Yes, because when the side lengths of a triangle are in the ratio 3: 4: 5, then it is a right triangle. These sides are 6: 8: 10, then the triangle is a right one.

Step-by-step explanation:

7 0
3 years ago
1. It is a three-digit whole number.
taurus [48]

Answer:

660

Step-by-step explanation:

4x5x11x3 = 660

8 0
3 years ago
Which is the midpoint of the segment joining (12, 2) and (-5, – 7)?
Rainbow [258]

Answer:

m(x, y)=(\frac{7}{2} , -\frac{5}{2} )

Step-by-step explanation:

Midpoint of line segment is calculated as

m(x, y)=(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )  -----------(1)

Here

(x_1, y_1) = (12,2) \ \  and \ \ (x_2, y_2) = (-5, -7)

Substituting values in equation (1)

m(x, y)=(\frac{12-5}{2} , \frac{2-7}{2} )

m(x, y)=(\frac{7}{2} , -\frac{5}{2} )

3 0
3 years ago
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