Answer:
The number of roots for equation 
is 4 .
Step-by-step explanation:
Here, the given function polynomial is :
The Fundamental Theorem of Algebra says that a polynomial of degree n will have exactly n roots (counting multiplicity).
Now here, the degree if the polynomial is 4 (highest power of variable x).
So, according to the Fundamental Theorem, the given polynomial can have AT MOST 4 roots, counting Multiplicity.
Hence, the number of roots for equation is 4 .
8X+6Y=12
Here's how you solve it:
Just isolate y by itself to get y-intercept form.
This is the formula: Y=MX+B
M is the slope or the number next to X in the original problem.
First:
6Y=-8X+12
Next:
divided everything by 6
Y=-4/3+2
I think the answer is A!
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Population mean (μ) = 2.55
Population standard deviation (σ) = 0.5
Sample size (n) = 30
Sample mean (x) = 2.76
α = 0.05
STEP 1:
Stress score in general executive (s1)
Stress score in exercising executive (s2)
Null : s1 = s2
Alternative : s1 < s2
STEP 2:
Shape of distribution = normal
Population mean (μ) = 2.55
Population standard deviation (σ) = 0.5
Sample size (n) = 30
Sample mean (x) = 2.76
α = 0.05
Decision rule :
α = 0.05 which corresponds to a t score (t0) ;
df = n - 1 = 30 - 1= 30 at 0.05 = 1.699
If :
(Test statistic (t) > t0) ; reject the Null
(right tailed test)
Test statistic (t) :
(x - μ) / (σ/√n)
(2.76 - 2.55) / (0.5/√30)
0.21 / 0.0913
= 2.30
t > t0
2.30 > 1.699
t is more extreme than t0
Hence, reject the null at α = 0.05
Answer: 1,425 students
Step-by-step explanation: This is easy to solve using proportions/
114/8 = ?/100
First, you cross multiply (or whatever this is called sry) 100x114=11400
Then divide 11400÷8=1,425
Answer:
The answer is she sold 20 labradorite crytals and 3 galena crystals.
Step-by-step explanation:
First you times 20 x 20 and get 400 and then times 13 x 3 and get 39 and 400 plus 39 equals $439.
