Answer:
x = -6
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
2(x - 7) = 5x + 4
Step 2: Distribute parenthesis
2x - 14 = 5x + 4
Step 3: Subtract 2x on both sides
-14 = 3x + 4
Step 4: Subtract 4 on both sides
-18 = 3x
Step 5: Divide both sides by 3
-6 = x
Step 6: Rewrite
x = -6
Answer:
both
Step-by-step explanation:
angle ABC is an isoceles triangle since BC and AB are equal. If you look at the other two triangles they are also isoceles because they have 2 equal sides as well.
So before we can solve using the quadratic formula, we have to set the equation to zero. We can do that by adding 2 on both sides of the equation
Now we can use the quadratic formula, which is , with a=x^2 coefficient, b=x coefficient, and c=constant. We can form the equation as such:
Firstly, solve the exponents and the multiplications:
Next, do the addition within the radicals (these will be your exact solutions. but I'll solve for the decimal form as well.):
Next, solve for the rest on your calculator, and your answers will be (rounded to the thousandths) y = -0.463, 0.863
Answer:
15 rentals
Step-by-step explanation:
You can (and may be expected to) set up an equation that equates the total cost at one store to the total cost at the other store. When you work through the solution of this equation, you find that the "break even" number of rentals is the ratio of the difference in fixed cost (setup fee) to the difference in per-use cost (rental charge).
Here, that ratio is ...
(15.00 -7.50)/(2.25 -1.75) = 7.50/0.50 = 15
15 rentals will make the total costs the same.
Answer:
Q' = (6,3)
Step-by-step explanation:
You can think of this problem in two ways:
Graph:
I've shown my working for this, where I've counted how many units it takes to get from point Q to the axis through which im reflecting. There are 6 units between Q and the y axis, so naturally there should be 6 units between Q' and the y axis.
Coordinates:
Since this is a reflection through an axis, we can assume that the the x coordinate of point Q' will be equal and opposite to Q. Therefore, while the x coordinate of Q was -6, of Q' it's 6