Answer:
See below.
Step-by-step explanation:
x^2 = y + 16
4y - 1 = 7x
are the 2 equations. (answer)
From the second equation
4y = 7x + 1
y = 7/4 x + 1/4
Substituting in the first equation:
7/4x + 1/4 + 16 = x^2
x^2 - 7/4 x - 16 - 1/4 = 0
x^2 - 7/4 x - 16 1/4 = 0
Multiplying though by 4
4x^2 - 7x - 65 = 0
Using the ac method to solve this 4 * -65 = -260 and we need factors of this to add up to -7. -20 and 13 look good so we write:
4x^2 - 20x + 13x - 65 = 0
Fatcor by grouping:
4x(x - 5) + 13(x - 5) = 0
(4x + 13)(x - 5) = 0
So the the roots are 5, -3.25
To find the values of y we substitute these values of x into the second equation:
x = 5: 4y - 1 = 7*542y = 36
y = 9.
x = -3.25:
4y - 1 = 7*-3.25
4y = (7 * -3.25) + 1
y = -5.44.
So the solutions are (5, 9) and (-3.25, -5.44) (Answer)
Answer:
48 people
Step-by-step explanation:
First, find how many were left after the first stop:
120(0.5)
= 60
Find how many were left after the second stop:
60(0.8)
= 48
So, since the rest got off on the third stop, this means 48 people got off on the third stop.
The answer is no solution
Answer:
B. 40
Step-by-step explanation:
Given:
The given shape is nonagon.
It consist of 9 sides.
We need to find the value of exterior angle 'x'.
Solution:
Now we know that;
"The sum of the exterior angles of any polygon is 360 degrees."
Therefore to find the measure of one exterior angle of any regular (all angles are congruent) polygon, divide 360 by the number of angles.
Since here there is Nonagon then there would be 9 exterior angles.
So measure of angle 'x' = 
Hence The value of 'x' 40°.
The answer would be 16x^4