Answer:
D
Step-by-step explanation:
y - 4 = 7(x - 6) Remove the brackets
y - 4 = 7x - 42 Add 4 to both sides
y = 7x - 42 + 4
y = 7x - 38
Note when you put this in slope, y intercept form, the ordered pair is easier to find.
Let x = 5
y = 7*5 - 38
y = 35 - 38
y = -3 (5,4) isn't right
Let x = 6
y = 7*6 - 38
y = 42 - 38
y = 4 That does not work either.
The answer is D
Answer:
<u>The solution of this system of equation is ( 3, - 8)</u>
Step-by-step explanation:
1. Let's solve the system of equations:
First equation:
x + 2y = - 13
x = - 13 - 2y
Second equation:
12x + 5y = -4
12 * (- 13 - 2y) + 5y = - 4 (Replacing x with - 13 - 2y)
-156 -24y + 5y = - 4
-24y + 5y = - 4 + 156 (Like terms)
-19y = 152
y = - 152/19
<u>y = -8</u> (Dividing by 19)
Solving x
x + 2y = -13
x + 2 (- 8 ) = - 13
x - 16 = - 13
x = - 13 + 16
<u>x = 3</u>
2. Proving that x = 3 and y = - 8 are correct:
12x + 5y = -4
12 * 3 + 5 * -8 = -4
36 - 40 = - 4
- 4 = - 4
<u>We proved that x = 3 and y = - 8 are correct</u>
The area of the shaded region is 0.1271 (12.71%).
<h3>What is the
z score?</h3>
Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (raw score - mean)/standard deviation
Given:
Mean 0 and standard deviation 1. Hence, for z=-1.14:
P(z < -1.14) = 0.1271
The area of the shaded region is 0.1271 (12.71%).
Find out more on z score at: brainly.com/question/25638875
B because each input has one output
The question is incomplete. The complete question is :
Justin drinks 1 litter of water during the soccer practice. He drank 2,000 milliliters of water at his game. How many liters of water did he drink during his game and his practice? Explain.
Solution :
It is given that :
During practice, Justine drank = 1 liter of water
During game, Justine drank = 2000 milliliters of water
We know that,
1 liter = 1000 mL
Therefore, during the game, Justine drank :
1000 mL = 1 liter
∴ 2000 mL = 2 liter
So Justine drank 2 liters of water during his soccer game and 1 liter of water during his practice.