Answer:
(x + 5)(3x + 5)
Step-by-step explanation:
(x - 5)(x + 8) + (x + 5)(2x - 3) ← factor out (x + 5) from each term
= (x + 5)(x + 8 + 2x - 3)
= (x + 5)(3x + 5)
For this case we have to:
x: Let the variable representing the unknown number
We algebraically rewrite the given expression:
Twice a number plus 10, is represented as:
Three times that number less 4. is represented as:
Thus, the complete expression is:
Subtracting 3x from both sides of the inequality:
Subtracting 10 from both sides of the inequality:
Equal signs are added and the same sign is placed:
We multiply by -1 on both sides, taking into account that the sense of inequality changes:
The solution is given by all values of "x" less than 14.
Answer:
Answer: To find the critical value, follow these steps.
Compute alpha (α): α = 1 - (confidence level / 100)
Find the critical probability (p*): p* = 1 - α/2.
To express the critical value as a z-score, find the z-score having a cumulative probability equal to the critical probability (p*).
Step-by-step explanation:
Answer:
Maria's string is 45 cm long and Katy's string is 39 cm long
Step-by-step explanation:
Let's call the size of Maria's string X, and the size of Katy's string Y.
So, using the information from the problem, we can formulate a system of equations:
If Maria's string is 6 cm longer than Katy's, so:
X = Y + 6
If the strings together have 84 cm, so:
X + Y = 84
The first equation can be rewritten as X - Y = 6
Summing up both equation, we have that:
2X = 90
X = 45
Using X value in the first equation, we have that:
45 = Y + 6
Y = 39
So, Maria's string is 45 cm long and Katy's string is 39 cm long
Answer:
a is greater by 25
Step-by-step explanation:
if a=100
then,100-50=50-25=25
so same way= a is greater by 25
