Answer:
x=0.933333
Step-by-step explanation:
First you add 6 to both sides of the equation
15x - 6 + 6 = 8 +6
That gives you 15x = 14
Then you divide 15 on both sides of the equation
That gives you x = 14/15 = 0.93333
Answer:
(x, y ) → (x + 5, y - 3 )
Step-by-step explanation:
5 units right means add 5 to the x- coordinate
3 units down means subtract 3 from the y- coordinate
the translation rule is
(x, y ) → (x + 5, y - 3 )
It is a very simple question to answer.
Obviously first we can calculate his weekly earnings and then multiply them by 4 to calculate his total earnings over the course of 4 year period.
So as he makes 6.2$ an hour. He will make 6.2 * 30 = 186 $ a week as that is the number of hours he works in a week.
Now we can multiply this by 4 to calculate his over all earnings. So 186 * 4 = 744.
Hi there!
Let the first number be represented by X.
The second number (which is 2 more than four times the other), can be represented by 4X + 2.
We can now find the sum of this expression.
X + 4X + 2
Collect terms
5X + 2
The sum of the numbers is 18. Therefore we can set up the following equation.
5X + 2 = 18
Subtract 2.
5X = 16
Divide both sides by 5.
X = 16/5 = 3 1/5.
Therefore, the first number is 3 1/5. To find the second number we must plug in X = 3 1/5 into the expression 4X + 2
4 * (3 1/5) + 2 = 12 4/5 + 2 = 14 4/5
The two numbers are

~ Hope this helps you!
Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
The equation of a vertical parabola in vertex form is equal to

where
a is a coefficient
(h,k) is the vertex
In this problem we have
(h,k)=(1,-4)
substitute

we have
An x-intercept of (-1,0)
substitute and solve for a




The equation is

<u><em>Verify the y-intercept</em></u>
For x=0


The y-intercept is the point (0,-3) -----> is correct
using a graphing tool
see the attached figure