Answer:
The factors of given expression are 10+10√2 and 10-10√2.
Step-by-step explanation:
We have given a quadratic expression.
s²-20s-100
We have to find factors of given expression.
We use quadratic formula to find factors.
x = (-b±√b²-4ac) / 2a
From given expression, a = 1 , b = -20 and c = -100
Putting values in above formula, we have
x = (-(-20)±√(-20)²-4(1)(-100) ) / 2(1)
x = (20±√400+400 ) / 2
x = (20±√800) / 2
x = (20± √400×2) / 2
x = (20±20√2) / 2
x = 10±10√2
Hence, the factors of given expression are 10+10√2 and 10-10√2.
Answer:
70.49
Step-by-step explanation:
Finding the percent of a number is the same as multiplying the number by the percent in decimal form. In other words, diving the percent by (100) and then multiplying the reuslt by the number one wants to find the percent of.
69% of 102.16
= (69 / 100) * 102.16
= 0.69 * 102.16
= 70.4914
~ 70.49
Answer:
• Shift 5 units to the left >>> f(x) = |x+5|
• Shift 4 units down >>> f(x) = |x| - 4
Step-by-step explanation:
If we have the parent function:
f(x) = |x|
<u>For horizontal translations:</u>
- |x-a| means horizontally translated a units right
- |x+a| means horizontally translated a units left
<u>For Vertical translation:</u>
- |x| + b means vertically translated b units up
- |x| - b means vertically translated b units down
From the translation rules, we can say:
Shift 5 units left would be:
|x+5|
and
Shift 4 units down would be:
|x| - 4
Answer:
C. 9p + 1
Step-by-step explanation:
2(4p - 3) + (p + 7)
Step 1: Distribute 2 in the first term to both terms in the parenthesis. You can drop the parenthesis on the second term (p + 7)...
2(4p) + 2(-3) + p + 7
Now multiply
8p - 6 + p + 7
Now simplify by combining like terms
8p + p -6 + 7
9p + 1 (8p + p = 9p, -6 + 7 = 1)
is equal to 