Answer:
28-7x
Step-by-step explanation:
To write the expression without grouping symbols, multiply the 7 into both terms using the distributive property.
7*4 - 7^x
28-7x
We can either use the quadratic formula or completing the square.
I'll use the method if completing the square.
x^2 + 10x + 12 = 36
Move the constant over to the other side.
x^2 + 10x = 24
Add (b/2)^2 to both sides.
x^2 + 10x + (10/2)^2 = 24 + (10/2)^2
x^2 + 10x + 5^2 = 24 + 5^2
x^2 + 10x + 25 = 24 + 25
Factor the left side and add the terms on the right side
(x+5)(x+5) = 49
(x+5)^2 = 49
Find the square root of both sides.
x + 5 = +/- 7
Move 5 over to the other side by subtracting it.
x = -5 + -7 = -12
OR
x = -5 - (-7) = 2
So x = -12 or x = 2.
8 is the total number of markers in the bag. There are 3 out of 8 that are red. 8-3=5 so there are 5 out of 8 markers that are not red and that are other colors - or 5/8 are other colors.
Answer:
47°
Step-by-step explanation:
Given that m<BOC = 6x + 29, m<AOB = 3x + 124, and m<AOC is a straight angle, therefore, m<AOC = 180°.
m<BOC +m<AOB = 180°
6x + 29 + 3x + 124 = 180
Solve for x
6x + 3x + 29 + 124 = 180
9x + 153 = 180
Subtract both sides by 153
9x = 180 - 153
9x = 27
Divide both sides by 9
x = 3
m<BOC = 6x + 29
Plug in the value of x
m<BOC = 6(3) + 29
m<BOC = 18 + 29 = 47°
Answer:
Answer choice C is correct
Step-by-step explanation: