So you want to solve for x?
It would be nice if this would easily factor:
(-4x + 5)(2x +1) = 0 This will not work!
So you need to use the quadratic formula:
a = -8, b = 4, c = 5
x = (-4 +/-
)/2(-8)
= (-4 +/-
)/-16
= (-4 +
)/-16
= 1/4 -
/4
An expression is defined as a set of numbers, variables, and mathematical operations. The second student is correct.
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given One student simplified x⁵ + x⁵ to x¹⁰. The second student simplified x⁵+x⁵ to 2x⁵. Since the simplification of (x⁵+x⁵) is equal to 2x⁵. Therefore, the second student is correct.
Learn more about Expression:
brainly.com/question/13947055
#SPJ1
Answer:
- <u>0.25</u>
- <u>0.85</u>
Step-by-step explanation:
P (Triangle or Square) :
- Area of Triangle + Area of Square / Area of Rectangle
- 1/2 x 3 x 4 (height is found by Pythagorean Theorem) + (3)² / 10 x 6
- 6 + 9 / 60
- 15/60
- <u>0.25</u>
<u></u>
P (Not the square) :
- Area of rectangle - Area of square / Area of rectangle
- 60 - 9 / 60
- 51/60
- 17/20
- <u>0.85</u>
Answer:
(a) The dependant veriable is the $120 per hour and the independant veriable is the $75 consultaion fee.
(b) The table of vaules for this would look like this, 
, where C = cost and T = time.
(c) The relationship between C and T is linear, beacause with the more hours you take the cost increases.
(d) Yes, it is sensible because the points would be in line due to the steady increase of the hourly rate.
(e) For every hour spent the cost increases 120 dollars.
(f) The fixed cost is 75 dollars for consultation and the veriable cost is 120 per hour.
