Answer:
(-4,5)
*View attached graph*
Step-by-step explanation:
y = -2x - 3
4y + x = 16
4y + x = 16
4(-2x - 3) + x = 16
-8x - 12 + x = 16
-7x - 12 = 16
+12 + 12
-7x = 28
/-7 /-7
x = -4
4y + x = 16
4y + (-4) = 16
4y - 4 = 16
+ 4 + 4
4y = 20
/4 /4
y = 5
(x,y) -> (-4,5)
Hope this helps!
The line of reflection is what the graph flips over. You can find the line with two points, and a point on the reflection line is the midpoint of a point and the corresponding point in the after-image.
The first one reflects over the y-axis, or x=0. One point is (-2, 1) and its corresponding point is (2, -1). The midpoint is found by the average of the two coordinates, which is (0,0). Pick another pair of points and find the midpoint which you should get (x,0).
You have two points (0,0) and (x,0) and they form a line, which is the y-axis, or x=0.
The line of reflection for the 1st one is x=0 (y-axis).
Answer:
(11,2)
Step-by-step explanation:
(8+3,11-9)
(11,2)
Answer:
The null hypothesis would say that class size has no effect on students learning.
Step-by-step explanation:
Null hypothesis is a type of hypothesis that is used in statistics which proposes that there is no difference between a certain characteristic of a population or the data - generating process.
Now, in this question,the school district is considering increasing class size in the elementary schools but we want to check whether larger classes may have a negative effect on students learning.
Thus, the null hypothesis would reject this claim of larger classes having negative effect on students and say that class size has no effect on students learning.
Answer is .47
Fourty seven hundredths in standard form is .47,
