<u>Answer:</u>
96
<u>Step-by-step explanation:</u>
Let's assume that the marks needed in the next exam is 
. Then if the average becomes 90,
Now we can simply solve for :
⇒ 
⇒ 
[Multiplying both sides by 4]
⇒ 
[Subtracting 264 from both sides]
⇒ 
Therefore, you need to score 96 in your next exam to have an average of 90 on the four exams.
Answer:
6x - 5y = -5
Step-by-step explanation:
Your FIRST goal is to fill out y = mx + b with the values of m (your slope) and b (your y-intercept). First, find m by dividing the change in y in the two points given by their change in x. (43 - 31)/(35-25) = 12/10 = 6/5. Plug this in immediately for a "placeholder equation" of y = 6/5x + b, which you can plug either of your points into and solve for b.
43 = 6/5(35) + b
43 = 42 + b
1 = b
Your SLOPE-INTERCEPT equation is y = 6/5x + 1. However, you were asked for standard form. This means you must convert into ax + by = c, where a b and c are all whole numbers, and a is positive.
y = 6/5x + 1
-6/5x + y = 1
6/5x - y = -1
6x - 5y = -5, and this is your final answer.
Let me know if you need a more in-depth explanation on any part of this!
Answer:
9a+6b
Step-by-step explanation:
4a+7b+5a-b
First figure out the a's 4a + 5a = 9a
Then do b's (Remember, if there is no number by the letter then it is 1)
7b - 1b = 6b
So for this to be simplified the answer is 9a+6b
Answer:
h(-4) = -2
Step-by-step explanation:
h(x)=-2x-10
Let x = -4
h(-4)=-2*-4-10
=8-10
= -2
Either X or Y is negative. One has to be
