3 3/4 miles as a decimal is 3.75 miles. He rode for one hour. Average speed within an interval is (distance made) / (interval duration). So the average speed = 3.75 miles / 1 hour, or 3.75 mph.
Answer:
(-3, 0)
Step-by-step explanation:
We are given two linear functions:
And we want to find the point at which the two lines intersect.
At the point the two lines intersect, their y-values will be the same. In other words, we can set their functions equal to each other and solve for x. Thus:
Substitute:
Solve for x. Subtracting x from both sides yields:
And subtracting 12 from both sides yields:
Thus, the x-coordinate of the point where the two lines intersect is:
To find the y-value, we can use either function. Using the second function, we acquire:
(You will obtain the same result if you use the first function. Try it!)
Thus, the point of intersection is (-3, 0).
Let's solve your equation step-by-step.
5
x
2
−
43
x
=
18
5
x
x
+
−
43
x
=
18
Multiply all terms by xx and cancel:
5
+
−
43
x
=
18
x
x
−
43
x
+
5
=
18
x
2
(Simplify both sides of the equation)
−
43
x
+
5
−
18
x
2
=
18
x
2
−
18
x
2
(Subtract 18x^2 from both sides)
−
18
x
2
−
43
x
+
5
=
0
(
−
9
x
+
1
)
(
2
x
+
5
)
=
0
(Factor left side of equation)
−
9
x
+
1
=
0
or
2
x
+
5
=
0
(Set factors equal to 0)
x
=
1
9
or
x
=
−
5
2
Check answers. (Plug them in to make sure they work.)
x
=
1
9
(Works in original equation)
x
=
−
5
2
(Works in original equation)
Answer:
x
=
1
9
or
x
=
−
5
2
Answer:
The answer is C.
4 - 1/4 is going to be 3 3/4
You would first turn 4 into a fraction, which is going to be 4/1.
Now, because the denominators don’t match, you’re going to multiply the top and bottom of 4/1 by 4.
4/1 times 4/4 equals 16/4
Now you can subtract 1/4 from 4/1
16/4-1/4=15/4
Divide 15 by 4 to get your answer of 3 3/4.
Hope I helped!
The expected number out of 1000 selected college seniors that completed 1 job application through the career
centers is given by 0.011 x 1000 = 11 which is close to 14.
The expected number out of 1000 selected college seniors that completed 2 job application through the career
centers is given by 0.115 x 1000 = 115 which is far away from 15.
The expected number out of 1000 selected college seniors that completed 3 job application through the career
centers is given by 0.123 x 1000 = 123 which is close to 130.
Therefore, the result that would be suprising is "15 seniors completed 2 job applications through the career
center."