Answer:
GCF: (x - 2)
4 / (x + 5)
Step-by-step explanation:
The expression given is:
(4x - 8) / (x² + 3x - 10)
To find the greatest common factor, we have to factorise the numerator and denominator individually.
NUMERATOR:
4x - 8 = 4(x - 2)
DENOMINATOR:
x² + 3x - 10 = x² + 5x - 2x - 10
x² + 3x - 10 = x(x + 5) - 2(x + 5)
x² + 3x - 10 = (x - 2) ( x + 5)
So, the expression becomes:
4(x - 2) / [(x - 2) ( x + 5)]
We observe that the common factor in both numerator ad denominator is (x - 2).
This is the greatest common factor (GCF).
Factoring out (x - 2), the expression can be rewritten as:
4 / (x + 5)
Answer:
model a: 9 presses
model b: 9 presses
Step-by-step explanation:
let x=model a and y=model b.
If asanji has 28 printing presses, we can say that x+y=18.
If he can print 1260 books in a day, we can say that 80x+60y=1260.
Now, We can solve the system of equation by solving an equation in terms of any variable. You can choose any variable. I chose x. x+y=18, So if we subract y from each side, we get x=18-y. Now, we can substitute that in the other equation. Thus, 80(18-y) +60y=1260. If we continue to solve for y, 1440-80y+60y=1260, 1440-20y=1260, subtract 1440 from each side, which gives you -20y=-180, and divide - 20 and you get y=9. Now, substitute the 9 in the x+y=18 to find x. Thus, x+9=18, and x=9. So, Asanji has 9 press of Model A and 9 presses of Model B.
Answer:
it shoud be 22.46
Step-by-step explanation:
Answer:
35.10
Step-by-step explanation:
45 x .22 = 9.9
45-9.9=35.1
The <em><u>correct answer</u></em> is:
c)75.4 to 94.6
Explanation:
The formula for a confidence interval is:
,
where μ is the mean, z is the z-score associated with the level of confidence we want, σ is the standard deviation, and n is the sample size.
Our mean is 85, our standard deviation is 12, our sample size is 6, and since we want 95% confidence, our z-score is 1.96: