Highest common factor of 24 and 20 is 4.
4(6x - 5)
That would be 8 1/6 * 4/7 = 49/6 * 4/7 = 7*4 / 6 = 28/6 = 4 4/6 = 4 2/3
Answer is 4 2/3 hours
<u>ANSWER</u>
The zeros are
EXPLANATION
Given;
.
We can rewrite the function as
The zeros are found by equating the function to zero.
The multiplicity is 1, since it is odd the graph crosses at this intercept. which is
Or
The multiplicity is 1, since it is odd the graph crosses at this intercept. which is
Or
This last root has a multiplicity of 2.
That is
repeats two times.
Since the multiplicity is even, the graph touches the x-axis at the point .
See graph.
Answer:
x = 8, and y = 12
Step-by-step explanation:
There are 2 variables, so you need 2 equations to form a system of equations in two variables.
The upper left triangle has all angle measures given: 100, 2x + y, 5x + y. We know that the sum of the measures of the angles of a triangle is 180.
First equation:
100 + 2x + y + 5x + y = 180
Simplify:
7x + 2y = 80 (First equation)
Now we see that the upper and lower sides are parallel, so alternate interior angles are congruent. The angles measuring 2x + y and 5x - y are alternate interior angles and are congruent.
Second equation:
2x + y = 5x - y
Simplify:
3x - 2y = 0 (Second equation)
Now we use the first equation and the second equation as a system of simultaneous equations to solve for x and y.
7x + 2y = 80
3x - 2y = 0
Solve the second equation for 2x.
3x = 2y
Now replace 2y in the first equation with 3x.
7x + 3x = 80
10x = 80
x = 8
Replace x with 8 in the second equation.
3(8) - 2x = 0
24 = 2x
x = 12
Answer: x = 8, and y = 12