Answer:
3x^2+24x=-48 -> one solution, x=-4
4x^2-16x=0 -> has two solutions, x=0 and x=4
5x^2+2=4x -> has no solutions,
3(x+5)^2=-2 -> has no solutions.
Step-by-step explanation:
Answer: (1)
Step-by-step explanation:
The parts listed in the congruence statement aren't corresponding, meaning they don't have to be congruent.
Answer:
= 1.56
Step-by-step explanation:
Hello!
You have two independent samples of fertilizers from distributor A and B, and need to test if the average content of nitrogen from fertilizer distributed by A is greater than the average content of nitrogen from fertilizer distributed by B.
Sample 1
X₁: Content of nitrogen of a fertilizer batch distributed by A
n₁= 4 batches
Sample mean X₁[bar]= 23pound/batch
σ₁= 4 poundes/batch
Sample 2
X₂: Content of nitrogen of a fertilizer batch distributed by B
n₂= 4 batches
Sample mean X₂[bar]= 18pound/batch
σ₂= 5 pounds/batch
Both variables have a normal distribution. Now since you have the information on the variables distribution and the values of the population standard deviations, you could use a pooled Z-test.
Your hypothesis are:
H₀: μ₁ ≤ μ₂
H₁: μ₁ > μ₂
The statistic to use is:
Z= <u> X₁[bar] - X₂[bar] - (μ₁ - μ₂) </u>~N(0;1)
√(δ²₁/n₁ + δ²₂/n₂)
=<u> </u>(<u>23 - 18) - 0 </u> = 1.56
√(16/4 + 25/4)
I hope this helps!
Answer:
It would take you 9 hours
Step-by-step explanation:
Speed (s) = Distance (d) / Time (t)
given that; Speed = 42 miles/hour
Distance = 361 miles
42 miles/hour = 361 miles / Time (t)
Time (t) * 42 miles/hour = 361 miles
Time (t) = 361 miles / 42 miles/hour
Time (t) = 8.59 hours
≈ 9 hours (to the nearest hour)
Answer:
13/9
y =-22x+32
Step-by-step explanation:
Given that the functions f and g are differentiable for all real numbers x. The table below gives values for the functions and their first derivatives at selected values of x.
x f(x) f'(x) g(x) g'(x)
1 4 -3 5 2
2 -3 -1 4 6
3 π 8 -1 4
4 -5 unknown 0 3
a) 
(using quotient rule)
Substitute 1 for x

b) 
when 
point of contact is (2,-12)
Slope of tangent =
Using point slope form, tangent is
