Answer:
Step-by-step explanation:
Question 1
System of equations is,
y = -6x -------(1)
y = -4x - 2 ---------(2)
Substitute the value of y from equation (1) to equation (2)
-6x = -4x - 2
-6x + 4x = -2
-2x = -2
x = 1
From equation (1)
y = -6(1)
y = -6
Question (2)
System of equations is,
-y = x --------(1)
3x + 5y = 20 ---------(2)
Substitute the value of x from equation (1) to equation (2)
3(-y) + 5y = 20
-3y + 5y = 20
2y = 20
y = 10
From equation (1)
-y = x
x = -10
Question (3)
System of the equations is,
y = -2x - 7 --------(1)
9x - 10y = 12 ----------(2)
Substitute the value of y from equation (1) to equation (2)
9x - 10(-2x - 7) = 12
9x + 20x + 70 = 12
29x = 12 - 70
29x = -58
x = -2
From equation (1)
y = -2(-2) - 7
y = 4 - 7
y = -3
Answer:
The answer and steps are in the picture below
Step-by-step explanation:
Answer:
1) X = -7
2) y = - 5
Step-by-step explanation:
1)
![- 3x - 5 = 16 \\ - 3x = 16 + 5 \\ - 3x = 21 \\ \frac{ - 3x}{ - 3} = \frac{21}{ - 3} \\ x = \frac{21}{ - 3} \\ x = - 7](https://tex.z-dn.net/?f=%20-%203x%20-%205%20%3D%2016%20%5C%5C%20%20-%203x%20%3D%2016%20%2B%205%20%5C%5C%20%20-%203x%20%3D%2021%20%5C%5C%20%20%5Cfrac%7B%20-%203x%7D%7B%20-%203%7D%20%20%3D%20%20%5Cfrac%7B21%7D%7B%20-%203%7D%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B21%7D%7B%20-%203%7D%20%20%5C%5C%20x%20%3D%20%20-%207)
2)
![- 4(y - 2) = 12 \\ - 4y - 8 = 12 \\ - 4y = 12 + 8 \\ - 4y = 20 \\ \frac{ - 4y}{ - 4} = \frac{20}{ - 4} \\ y = \frac{20}{ - 4} \\ y = - 5](https://tex.z-dn.net/?f=%20-%204%28y%20-%202%29%20%3D%2012%20%5C%5C%20%20-%204y%20-%208%20%3D%2012%20%5C%5C%20%20-%204y%20%3D%2012%20%2B%208%20%5C%5C%20%20-%204y%20%3D%2020%20%5C%5C%20%20%5Cfrac%7B%20-%204y%7D%7B%20-%204%7D%20%20%3D%20%20%5Cfrac%7B20%7D%7B%20-%204%7D%20%20%5C%5C%20%20y%20%3D%20%20%5Cfrac%7B20%7D%7B%20-%204%7D%20%20%5C%5C%20y%20%3D%20%20-%205)
What needs to be done first is to add up females and males that have passed.
42 + 14 = 56
so out of 56 students who passed 42 females passed 42/56 = 3/4 = 0.75
out of 56 students who passed, 14 males passed which turns into 14/56 = 1/4 = 0.25
check work; 0.75 + 0.25 = 1.00
NOW WE ARE DOING FAILS.
15 + 5 = 20
so out of 20 students who failed, 15 females failed so it turns into 15/20 = 3/4 = 0.75
out of 20 students who failed, 5 males failed. 5/20 = 1/4 = 0.25
check work; 0.75 + 0.25 = 1.00
i hope this helped! :)
Directrix is x =1, so it is horizontal parabola.Vertex is between the focus and directrix on equal distance 5-x=x-1, 2x=6,
x=3. y -coordinate of the vertex for this parabola equals y-coordinate of the focus.
Vertex (3,2).
Focus has x=5 >1, so it is directed to the right.