Answer: 39
Step-by-step explanation:
2x+17-17=95-17 so 2x=78 if you divide both sides by two you will find x=39
Answer:
3 1/20
Step-by-step explanation:
First, we will convert the mixed numbers into improper fractions...
9 3/10 (9*10=90+3=93) so the improper fraction is 93/10
5 3/4 (5*4=20+3=23) therefore the improper fraction is 23/4
We then want to make the denominator the same...
93/10 (*4) = 372/40
23/4 (*10) = 230/40
We then put it into the question...
372/40 - 230/40 = 142/40
Lastly, we now need to turn this into a mixed number...
142/40=3.55 so the answer is 3 2/40
3 2/40 in it's simplest form is 3 1/20
Hope this helps!
Hello :
<span>y = 3x2 + 24x - 1
= 3(x²+8x) -1
= 3 (x² +2(4)(x) +4²- 4² ) -1
= 3((x+4)² -16)-1
y = 3(x+4)² - 49
</span><span>the line of symmetry is : x= - 4</span>
Answer:
1) a) 0.8
b) 0.6
2) a) 0.08
b) 0.14
Step-by-step explanation:
1) Given
and 
Let us learn about a formula:
(a) If A and B are mutually exclusive i.e. no common thing in the two events.
In other words:
= 
= 0
Using above formula:
(b) P(A and B) = 0.2
Using above formula:
*************************************
1) Given
and 
Let us learn about a formula:
for dependent events
for independent events.
(a) If A and B are independent events :
Using the above formula for independent events:
(b) 
Using above formula:
I believe the answer would be inconsistent and dependent, and also inconsistent and independent. System of equations with three variables are either independent, dependent or inconsistent , each case can be established algebraically and represented graphically.
