Answer:
B. (1,5) and (5.25, 3.94)
Step-by-step explanation:
The answer is where the 2 equations intersect.
We need to solve the following system of equations:
y = -x^2 + 6x
4y = 21 - x
From the second equation:
x = 21 - 4y
Plug this into the first equation:
y = -(21 - 4y)^2 + 6(21 - 4y)
y = -(441 - 168y + 16y^2)+ 126 - 24y
y = -441 + 168y - 16y^2 + 126 - 24y
16y^2 + y - 168y + 24y + 441 - 126 = 0
16y^2 - 143y + 315 = 0
y = [-(-143) +/- sqrt ((-143)^2 - 4 * 16 * 315)]/ (2*16)
y = 5, 3.938
When y = 5:
x = 21 - 4(5) = 1
When y = 3.938
x = 21 - 4(3.938) = 5.25.
Answer:
4 (2 + 9)
Step-by-step explanation:
Given expression:
8 + 36
The greatest common factor is the highest number that divides a number:
8 and 36 ;
Factors of 8 : 1,2,4, 8
36 : 1, 2, 3, 4, 9, 18, 36
The highest common factor is 4;
8 + 36 = 4 (2 + 9)
It represents the first one 3+(-1)
Answer:
6
Step-by-step explanation:
Answer:
I believe this would be B
Step-by-step explanation:
The way I do improper fractions is called the 'boot'
It is where you take the whole number and the denominator and circle both of them so it kind of looks like a boot and you multiply those together.
So 5 * 8= 40 then you add your numerator to that which gets you 45, and you keep the denominator the same
So you end up with 45/8
Sorry if its a little confusing
Hope this helps :)