Answer:
A) 1/20
B) H = x/20
C) 9.5 in
Step-by-step explanation:
A) Slope is the ratio of rise to run, so is ...
slope = rise/run = (1 in)/(20 in)
slope = 1/20
__
B) The maximum height is 1/20 of the horizontal distance, so ...
H = (1/20)x
__
C) Using x=190 in the above formula, ...
H = (190 in)/20 = 9.5 in
The ramp will reach a height of 9.5 inches.
step by step
ANSWER: (2x^2-5x+1) *(4x+3)
((*8 • (x3)) - (2•7x2)) - 11x) + 3
STEP
2
:
Equation at the end of step
2
:
((23x3 - (2•7x2)) - 11x) + 3
STEP
3
:
Checking for a perfect cube
3.1 8x3-14x2-11x+3 is not a perfect cube
Trying to factor by pulling out :
3.2 Factoring: 8x3-14x2-11x+3
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -11x+3
Group 2: 8x3-14x2
Pull out from each group separately :
Group 1: (-11x+3) • (1) = (11x-3) • (-1)
Group 2: (4x-7) • (2x2)
Answer:
- steak: 1/2
- baked eggs: 2
- acorn squash: 1
Step-by-step explanation:
Let s, b, a represent the numbers of servings of steak, baked eggs, and acorn squash, respectively. Then the equations we want to solve are ...
40s +20b +4a = 64 . . . . grams of protein
10s +2b +20a = 29 . . . . grams of carbohydrate
1s +20b +32a = 72.5 . . . milligrams of vitamin A
There are any number of calculators or web sites that will solve this system of equations for you. The solution is ...
s = 0.5
b = 2
a = 1
The dietitian should provide 1/2 serving of steak, 2 servings of baked eggs, and 1 serving of acorn squash.