Answer:
1) x<2.5 2) x<2.5 (both are smaller numbers than 2.5)
Step-by-step explanation:
I'm sure there is a easier way to figure this question out but how I did is by simply imputing numbers smaller or bigger into where the x is. For example, I imputed 3 into -4x+5>-5. So, -4(3)+5>5, = -7>5, this is false, so x must be smaller than 2.5 in order for this to be true.
A) a=8
B) b=1/8
C) c=13/5
D) d=13/50
Two angles are supplementary if they add up to 180 degrees.
Given the angle 76 degrees, the supplement is 180-76 degrees, or 104 degrees.
Answers: Using the process of completing the square:
1. Isolate the constant by <u>adding 7 to</u> both sides of the equation:
x^2-6x-7+7=0+7
x^2-6x=7
2. Add <u>9</u> to both sides of x2 – 6x = 7 to form a perfect square trinomial while keeping the equation balanced:
x^2-6x+9=7+9
x^2-6x+9=16
3. Write the trinomial x2 – 6x + 9 as squared:
<u>(x-3)^2</u> = 16
4. Use the square root property of equality to get x – 3 = ±<u>4</u> .
sqrt[ (x-3)^2 ] = ± sqrt(16)
x-3 = ±4
5. Isolate the variable to get solutions of –1 and 7.
x-3 = ±4
x-3+3 = ±4+3
x = ±4+3
x1=-4+3→x1=-1
x2=+4+3→x2=7
