Step-by-step explanation:
y = 5x - 4
When x = 0, y = 5(0) - 4 = -4.
When x = 1, y = 5(1) - 4 = 1.
When x = 2, y = 5(2) - 4 = 6.
The 3 ordered pairs we have are (0,-4), (1,1) and (2,6).
We now check the point (-5,-29):
(-29) : 5(-5) - 4
-29 : -25 - 4
-29 : -29 => -29 = -29.
Since Left hand side = Right hand side, the point (-5,-29) is a solution.
5x = x^2 + 4
x^2 - 5x + 4 = 0
(x - 4)(x - 1) = 0
x = 4, 1
(x + 6)^2 = 100
x + 6 = +/1 sqrt100
x + 6 = +/- 10
x = 4, -16
Answer:
D
Step-by-step explanation:
Answer:
The scale of the map is inch = 20 feet.
This statement must be incorrect or the fraction of the inch is missing.
Because 6" long, at a scale of one inch = 20 feet, would only be 120 feet x 120 feet.
120 x 120 = 14,000 ft^2 and each of the four quadrants wouls only be 3600 ft^2.
For this case we propose a rule of three according to the data of the statement. To do this, we convert the mixed number into an improper fraction:
cups
4 ----------> ![\frac {7} {4}](https://tex.z-dn.net/?f=%5Cfrac%20%7B7%7D%20%7B4%7D)
10 ----------> x
Where the variable "x" represents the amount of chopped of vegetables needed for 10 people.
![x = \frac {10 * \frac {7} {4}} {4}\\x = \frac {\frac {70} {4}} {4}\\x = \frac {70} {16}\\x = \frac {35} {8}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B10%20%2A%20%5Cfrac%20%7B7%7D%20%7B4%7D%7D%20%7B4%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B%5Cfrac%20%7B70%7D%20%7B4%7D%7D%20%7B4%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B70%7D%20%7B16%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B35%7D%20%7B8%7D)
This is equivalent to
cups.
Answer:
cups