Answer:
x2 + 5x-6
Step-by-step explanation
Consider the form
x
2
+
b
x
+
c
. Find a pair of integers whose product is
c
and whose sum is
b
. In this case, whose product is
−
6
and whose sum is
5
.
−
1
,
6
Write the factored form using these integers.
Answer:
16 ft
Step-by-step explanation:
We start by converting 1yd to ft,
1yd = 3ft
So in the smaller triangle, we have 3ft, 4.5ft. Using Sine, Cos, and Tan rule. We know that
TanΦ = opposite / adjacent
TanΦ = 3ft / 4.5ft
TanΦ = 0.667
Φ = Tan^-1 0.6
Φ = 33.69
This means that the angle of elevation is 33.69°
Using this angle, and the same tan rule again, we gave
Tan 33.69 = opp/24
0.667 = opp/24
opp = 24 * 0.667
opp = 16 ft
Answer:
Step-by-step explanation:
We would use the t- distribution.
From the information given,
Mean, μ = 2950
Standard deviation, σ = 115
number of sample, n = 25
Degree of freedom, (df) = 25 - 1 = 24
Alpha level,α = (1 - confidence level)/2
α = (1 - 0.98)/2 = 0.01
We will look at the t distribution table for values corresponding to (df) = 24 and α = 0.01
The corresponding z score is 2.492
We will apply the formula
Confidence interval
= mean ± z ×standard deviation/√n
It becomes
2950 ± 2.492 × 115/√25
= 2950 ± 2.492 × 23
= 2950 ± 57.316
The lower end of the confidence interval is 2950 - 57.316 =2892.68
The upper end of the confidence interval is 2950 + 57.316 = 3007.32
The solution is correct.
Answer:
x ≥ 5, 8.25x + 10 = 175, and x = 20 hours.
Step-by-step explanation:
Let Lin works x hours per week.
Now given that Lin’s job pays $8.25 an hour plus $10 of transportation allowance each week.
And she has to work at least 5 hours a week to $175 per week.
So, the inequality that can be written from the above condition is x ≥ 5 .......(1)
And the equation that can be written that
8.25x + 10 = 175 ....... (2)
Now, fro equation (2) we can write x = 20 hours which satisfies equation (1).
Answer:
4+ 
x = 3
Step-by-step explanation:
4 + x = 3 (subtract 4 from both sides)
x = -1 (multiply both sides by 2)
x = -2
