Answer:
(1.13, 7.74) and (-4.13, 18.26)
Step-by-step explanation:
This can be solved in two ways: mathematically and graphically.
<u>Graphing</u>
Plot both lines and find where they intersect. See the attachment.
The intersection points are (1.13, 7.74) and (-4.13, 18.26)
<u>Mathematical</u>
y + 2x = 10
y = 10 - 2x
y = 3x² + 7x - 4
10 - 2x = 3x² + 7x - 4
3x² + 9x - 14 = 0
Solve this using the quadratic equation:
x = 1.13 and -4.13
Use these two values of x to find y:
y = 10 - 2x
y = 10 - 2(1.13)
y = 7.74
y = 10 -2x
y = 10 -2(-4.13)
y = 18.26
The two points are:
(1.13, 7.74) and (-4.13, 18.26)
Answer:
6 miles per gallon
Step-by-step explanation:
Given : An experimental vehicle was able to travel 3/8 miles on 1/16 gallon of water.
To Find: At this rate, what was the mileage in miles per gallon of water for this vehicle?
Solution:
Since An experimental vehicle was able to travel 3/8 miles on 1/16 gallon of water.
So, the mileage in miles per gallon of water for this vehicle:




Thus the mileage of water for this vehicle is 6 miles per gallon
I assume you're asked to solve
4 cos²(<em>x</em>) - 7 cos(<em>x</em>) + 3 = 0
Factor the left side:
(4 cos(<em>x</em>) - 3) (cos(<em>x</em>) - 1) = 0
Then either
4 cos(<em>x</em>) - 3 = 0 <u>or</u> cos(<em>x</em>) - 1 = 0
cos(<em>x</em>) = 3/4 <u>or</u> cos(<em>x</em>) = 1
From the first case, we get
<em>x</em> = cos⁻¹(3/4) + 2<em>nπ</em> <u>or</u> <em>x</em> = -cos⁻¹(3/4) + 2<em>nπ</em>
and from the second,
<em>x</em> = <em>nπ</em>
where <em>n</em> is any integer.
Answer:
Upper deck = $38
Goal View = $63
Sidelines = $88
Step-by-step explanation:
Represent
- Sidelines with S
- Goal-view with G
- Upper-deck with U
We have that:



Required
Solve for S, G and U
Substitute 25 + G for S in the second equation

Make G the subject


Substitute 25 + U for G in the third equation

Collect Like Terms



Substitute 38 for U in 


Substitute 63 for G in 

