Answer: x= 63, y= 27
Step-by-step explanation:
x and angle measure 117 are a linear pair. They sum to 180.
117+x= 180. Subtract 117 from both sides.
x = 63
Looking at the relationship of x and y, the diagram shows that the two together equal 90 degrees. Add the two together and set equal to 90.
63+y= 90. Subtract 63 from both sides.
y = 27
Answer:
(b) 
Step-by-step explanation:
Given: Cost of car is 
Sales tax is 
The license and title charges are 
To find: The amount that the credit union will finance.
Solution:
We have,
Cost of car
Sales tax is of
Therefore,
sales tax 
The license and title charges 
Now, the amount that the credit union will finance is
cost of car
sales taxthe license and title charges
Hence, the amount that the credit union will finance is .
So, (b) is correct.
Part A: x = -5/4, 3 || (-5/4, 0) (3, 0)
To find the x-intercepts, we need to know where y is equal to 0. So, we will set the function equal to 0 and solve for x.
4x^2 - 7x - 15 = 0
4 x 15 = 60 || -12 x 5 = 60 || -12 + 5 = -7
4x^2 - 12x + 5x - 15 = 0
4x(x - 3) + 5(x - 3) = 0
(4x + 5)(x - 3) = 0
4x + 5 = 0
x = -5/4
x - 3 = 0
x = 3
Part B: minimum, (7/8, -289/16)
The vertex of the graph will be a minimum. This is because the parabola is positive, meaning that it opens to the top.
To find the coordinates of the parabola, we start with the x-coordinate. The x-coordinate can be found using the equation -b/2a.
b = -7
a = 4
x = -(-7) / 2(4) = 7/8
Now that we know the x-value, we can plug it into the function and solve for the y-value.
y = 4(7/8)^2 - 7(7/8) - 15
y = 4(49/64) - 49/8 - 15
y = 196/64 - 392/64 - 960/64
y = -1156/64 = -289/16 = -18 1/16
Part C:
First, start by graphing the vertex. Then, use the x-intercepts and graph those. At this point we should have three points in a sort of triangle shape. If we did it right, each of the x-values will be an equal distance from the vertex. After we have those points graphed, it is time to draw in the parabola. Knowing that the parabola is positive, we draw in a U shape that passes through each of the three points and opens toward the top of the coordinate grid.
Hope this helps!
The amount of freezers that can be shipped is 70. I'm not completely sure, because I do not know how many pounds the ovens are. But to get the answer, just simply divide 42000 by 600.
Step-by-step explanation:
I think this should be the expression
X = 14 + 50
