Answer:
a = 5
Step-by-step explanation:
According to the factor theorem, if x + 2 is a factor, then by dividing the polynomial by the binomial, we are meant not to have a remainder
In this case, the remainder would be zero
So, if we set the binomial equals zero and substitute the x-value into the polynomial, we are supposed to have 0
So we have this as;
x + 2 = 0
x = -2
-2^3 -2(-2)^2 -2(a) + 6 = 0
-8-8-2a + 6 = 0
-16 + 2a + 6 = 0
2a -10 = 0
2a = 10
a = 10/2
a = 5
Answer:
8feet high
Step-by-step explanation:
To get the height of the pole, we will use the pythagoras theorem. Let H be the height
H² = 10² -6²
H² = 100 - 36
H² = 64
H = √64
H = 8feet
Hence the pole is 8feet high
Answer:
From $1600 to $3400.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 2500
Standard deviation = 300
What interval of dealer incentives would we expect approximately 99.7% of vehicles to fall within?
By the Empirical Rule, 99.7% fall within 3 standard deviations frow the mean. So
From 2500 - 3*300 = 1600 to 2500 + 3*300 = 3400.
Graph those on the number line
Answer:
If the equation is 3^x=n (it isnt showing up properly)
Part A: any number greater than 1 will work. Say 2.
Part B: any number less than or equal to 1.
Step-by-step explanation:
If you set x=2, 3^2=9 9>3
If you set x=0, 3^0=1 1<3
