Answer:
<u>The minimum score Jasmine needs to make on the fifth test to ensure her average is at least 80% is 56%</u>
Step-by-step explanation:
This is the information provided to us to answer the question correctly:
- Score 1st test = 87%
- Score 2nd test = 92%
- Score 3rd test = 76%
- Score 4th test = 89%
- Score 5th test = x
Now, let's calculate the average of Jasmine's scores and to solve for x:
(87 + 92 + 76 + 89 + x)/5 ≥ 80
(344 + x)/5 ≥ 80
344 + x ≥ 80 * 5
344 + x ≥ 400
x ≥ 400 - 344
<u>x ≥ 56</u>
Answer:12
Step-by-step explanation:
Answer:
?
Step-by-step explanation:
wut?
Answer:
A.
Step-by-step explanation:
6^(1-1) + 6^(2-1) + 6^(3-1) + 6^(4-1)
= 1 + 6 + 36 + 216
= 259.
Answer:
2x^2 = 6x - 5.
-x^2 - 10x = 34.
These have only complex roots/
Step-by-step explanation:
3x^2 - 5x = -8
3x^2 - 5x + 8 = 0
There are complex roots if the discriminant 9b^2 - 4ac) is negative.
Here the discriminant D = (-5)^2 - 4*-5*8 = 25 + 160
This is positive so the roots are real.
2x^2 = 6x - 5
2x^2 - 6x + 5 = 0
D = (-6)^2 - 4*2*5 = 36 - 40 = -4
So this has no real roots only complex ones.
12x = 9x^2 + 4
9x^2 - 12x + 4 = 0
D = (-12)^2 - 4*9 * 4 = 144 - 144 = 0.
- Real roots.
-x^2 - 10x = 34
x^2 + 10x + 34 = 0
D = (10)^2 - 4*1*34 = 100 - 136 = -36.
No real roots = only complex roots.
