Answer:
Step-by-step explanation:
This is a quadratic expression. Use the quadratic formula to find the roots, and then once you have the roots, write the corresponding factors.
The coefficients of this quadratic expression are a = 7, b = 5 and c = -3
The discriminant is b^2 - 4ac, or 5^ - 4(7)(-3), or 25 + 84 = 109. Because this is positive, we know that the expression has two unequal, real roots.
Using the quadratic formula, we now find these roots:
-b ± √(discriminant)
x = -------------------------------- which here is:
2a
-5 ± √109
x = -----------------
14
The factors can be found from these two roots. The first one is
-5 - √109 5 + √109
(x - ---------------- ) = (x + ---------------- )
14 14
and the second is
5 - √109
(x + ---------------- )
14
Answer:
213
Step-by-step explanation:
3131321
Answer:
1st answer is 6, 2nd is 5, 3rd is 5
Step-by-step explanation:
3x-2=x+10
3x-x=10+2
2x=12
x=12÷2
x=6
x+4=19-2x
x+2x=19-4
3x=15
x=15÷3
x=5
8z-20=z+15
8z-z=15+20
7z=35
z=35÷7
z=5
plzz mark me as brainliest
Answer:
The sample proportion is 0.158.
Step-by-step explanation:
In a confidence interval of proportions, we have the lower bound and the upper bound of the interval. The sample proportion is the halfway points between these bounds, that is, the sum of these bounds divided by 2.
In this problem, we have that:
Lower bound: 0.142
Upper bound: 0.174
Sample proportion: (0.142+0.174)/2 = 0.158
The sample proportion is 0.158.
Answer:
A=11.1%
B=33.33%
Step-by-step explanation:
A.First Die Second die
6 5
5 6
6 4
4 6
4/36=1/9=.11=11.1 %
12/36=0.3333=33.333 percent