-92
Step-by-step explanation:
If a quadratic equation has the following form:

then its discriminant D is defined as

In our given quadratic equation, a = 4, b = -2 and c = 6, so its discriminant is

Note: The value of the discriminant D will determine the characteristics of the roots of the quadratic equation according to the following rules:
there will be 2 real roots
there will be 1 real root
there will be 2 imaginary roots
Hence our given quadratic equation will not have any real roots but only imaginary ones.
Yes they are equivalent. Another fraction would be 2/4
Step-by-step explanation:
3(t+5) = 9
3t+15 = 9
3t = -6
t = -2
2(f-7) = -10
2f - 14 = -10
2f = 4
f = 2
-(c - 9) = 4
-c + 9 = 4
-c = -5
c = 5
-6(2t + 8) = -84
-12t - 48 = -84
-12t = -36
12t = 36
t = 3
-10 (s + 2) = -57
-10s - 20 = -57
-10s = -37
s = 3.7
7(3w + 8)/3 = -9
By cross multiplication,
7(3w + 8) = -27
21w + 56 = -27
21w = -83
w = -3.95
35/5 = (F - 32)/9
7 = (F - 32)/9
By cross multiplication,
63 = F - 32
63 + 32 = F
95 = F
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em>
Answer:
Their welders earn $50,000 annually.
Step-by-step explanation:
Given : 

n = 100

To Find : The ship building association wishes to find out whether their welders earn more or less than $50,000 annually.
Solution :

n = 100
Since n > 30
So we will use z test

Substitute the values


Refer the z table for p value
p value = 0.9599
α= 0.05
Since p value > α
So we accept the null hypothesis .
Hence their welders earn $50,000 annually.
Answer: one gallon jug of water cost’s $3.68