Answer:
Step-by-step explanation:
A quadratic equation has one root if the discriminant is 0.
That is we need 
for this particular question.
Compare the following to find 
:
The variable 
is representative of the variable 
here.
Plug in into :
Subtract 4 on both sides:
Divide both sides by 16:
Reduce:
Answer:
88 adult tickets were sold
Step-by-step explanation:
3s + 7a = 1102
(s + a = 250)-3
3s + 7a = 1102
+ -3s - 3a = -750 Add these equations together
4a = 352 Divide both sides by 4
a = 88
Now plug this into the second equation
s + a = 250
s + 88 = 250
- 88 - 88 Subtract 88 from both sides
s = 162
If this answer is correct, please make me Brainliest!
Start with 180.
<span>Is 180 divisible by 2? Yes, so write "2" as one of the prime factors, and then work with the quotient, 90. </span>
<span>Is 90 divisible by 2? Yes, so write "2" (again) as another prime factor, then work with the quotient, 45. </span>
<span>Is 45 divisible by 2? No, so try a bigger divisor. </span>
<span>Is 45 divisible by 3? Yes, so write "3" as a prime factor, then work with the quotient, 15 </span>
<span>Is 15 divisible by 3? [Note: no need to revert to "2", because we've already divided out all the 2's] Yes, so write "3" (again) as a prime factor, then work with the quotient, 5. </span>
<span>Is 5 divisible by 3? No, so try a bigger divisor. </span>
Is 5 divisible by 4? No, so try a bigger divisor (actually, we know it can't be divisible by 4 becase it's not divisible by 2)
<span>Is 5 divisible by 5? Yes, so write "5" as a prime factor, then work with the quotient, 1 </span>
<span>Once you end up with a quotient of "1" you're done. </span>
<span>In this case, you should have written down, "2 * 2 * 3 * 3 * 5"</span>
