Answer:
c. f(x) = (x + 4)(x - 1)
Step-by-step explanation:
Since you're familiar with the product of two binomials:
(x +a)(x +b) = x² + (a+b)x + ab
you know that the constants in the binomial factors must ...
- have a product of -4
- have a sum of +3
__
All of the choices except B have binomial constants that have a product of -4.
In order, the sums of the remaining choices are ...
A: 1-4 = -3
C: 4-1 = 3 . . . . this is the correct choice
D: -2+2 = 0
Answer:
x = 28
m<ABC = 57°
Step-by-step explanation:
✔️(2x + 1)° + 33° = 90° (complementary angles)
Solve for x
2x + 1 + 33 = 90
Add like terms
2x + 34 = 90
2x = 90 - 34 (subtraction property of equality)
2x = 56
Divide both sides by 2
x = 28
✔️m<ABC = 2x + 1
Plug in the value of x
m<ABC = 2(28) + 1
= 56 + 1
m<ABC = 57°
Answer:
25%
Step-by-step explanation:
This question is about conditional probability. Let's say that the probability of raining on Saturday is X=true and the probability of raining on Sunday is Y=true. There is a 15% it will rain on both Saturday and Sunday, to put into the equation it will be:
P(X= true ∩ Y = true) = P(X = true) * P(Y = true)= 0.15
There is a 60% chance of rain on Saturday, mean the equation is
P(X = true) = 0.6
The question is asking for the chance of rain on Sunday or P(Y = true). If we substitute the second equation to first, it will be:
P(X = true) * P(Y = true)= 0.15
0.6* P(Y = true)= 0.15
P(Y = true)= 0.15/0.6
P(Y = true)= 0.25 = 25%
Answer:
b = 
Step-by-step explanation:
To clear the radicals square both sides
= 
( cross- multiply )
(6 - a)(8 + b) = b - 7 ← expand factors on left using FOIL
48 + 6b - 8a - ab = b - 7 ( subtract 48 from both sides )
6b - 8a - ab = b - 55 ( add 8a to both sides )
6b - ab = b - 55 + 8a ( subtract b from both sides )
6b - ab - b = 8a - 55, that is
5b - ab = 8a - 55 ← factor out b from each term on the left side )
b(5 - a) = 8a - 55 ← divide both sides by (5 - a)
b =
