Answer:
Step-by-step explanation:
First step is Reflection over x-axis ⇒ Δ A' B' C'
Second step is Translation 2 units to the right ⇒ Δ A" B" C"
Answer:
Step-by-step explanation:
The remainder theorem says that when you put the integer part of the binomial for the value of x in f(x), you can solve for the remainder.
f(x) = x^3 - 4x + k is divided by (x - 5) means that 5 is put into f(x)
f(5) = x^3 - 4x + k now put 5 into x on the right
f(5) = 5^3 - 4(5) + k
f(5) = 125 - 20 + k = 91
f(5) = 105 + k = 91
105 + k = 91 Subtract 105 from both sides
k = 91 - 105
k = -14
Step-by-step explanation:
The total number of people mentioned in this problem is 15. 15 will be the denominator for the probability in fraction form. The sum of the # of people that include lifeguards and managers will be the numerator.
Therefore, the probability that the person picked is either a manager or a lifeguard is 10/15 [because there are 2 managers and 8 lifeguards; 2 + 8 =10].
<u>Fraction form of probability: 10/15</u>
<u>Decimal form: 0.6 repeated</u>
<u>Percent form: about 66.67%</u>
To find the x int, we will sub in 0 for y and solve for x...um...r
- 2r + 1/2y = 18
-2r + 1/2(0) = 18
-2r = 18
r = -18/2
r = -9
so the x int is (-9,0)
Yes both of those answers are correct good job!