Answer:
35/3
Step-by-step explanation:
Simplify to get
9x+14=3(4x-7)
35=3x
x=35/3 or 11.66
Answer: 12 miles per hour.
Step-by-step explanation:
Given: Distance travelled =
Time taken = hour
Unite rate = speed
The formula for speed is given by:-
So, unit rate =
Hence, unit rate = 12 miles per hour.
The first step to factorising this expression, is finding what is common in each term.
The GCF of 3, 2 and -4 is 1 therefore we will not have a coefficient of the outside terms.
Then we have st, su and sv
s is common in all of them therefore we can take out s.
So far we have s( )
Now for each term we must find what we multiply by s to reach it.
3st / s = 3t
2su / s = 2u
-4sv / s = -4v
Now just put these values inside the brackets.
s(3t + 2u - 4v)
Answer:
None of the given points lies on the circle.
Step-by-step explanation:
The circle is represented by the following formula:
(x - xc)² + (y - yc)² = r²
Where (xc,yc) are the coordinates of the center and r is the radius of the circle. In the case we have:
(x+5)² + (y-9)² = 82
If a point belongs to this circumference, then the results of applying the points to the equation should be valid. To test all the points we are going to apply each to the equation as shown below:
A.
(0 + 5)² + (8-9)² = 82
5² + (-1)² = 82
25 + 1 = 82
26 = 82 (invalid)
The point does not lies on the circle.
B.
(13 + 5)² + (-9-9)² = 82
(18)² + (-18)² = 82
324 + 324 = 82
648 = 82 (invalid)
The point does not lies on the circle.
C.
(-5 + 5)² + (1 - 9)² = 82
0² + (-8)² = 82
64 = 82 (invalid)
The point does not lies on the circle.
D.
(3 + 5)² + (17-9)² = 82
8² + 8² = 82
64 + 64 = 82
128 = 82 (invalid)
The point does not lies on the circle.
ANSWER
EXPLANATION
The points
and
lie on the graph of the direct variation function.
We can use these points to determine the constant of direct variation which is also called the constant of proportionality.
This constant of proportionality is the slope, which can be found using the formula,
This implies that,
Since the total earnings E, varies directly as the number of hours worked ,h,we can write the mathematical relation,
The equation of the direct variation function is given by
where k is the constant of proportionality.
We substitute this value to get,