Answer:
Step-by-step explanation:
Solve Using the Quadratic Formula
4x^2 + 8x − 5 = 0
Use the quadratic formula to find the solutions.
−b ± √b^2 − 4 (ac)
-------------------------
2a
Substitute the values a = 4, b = 8, and c = −5 into the quadratic formula and solve for x.
−8 ± √82 − 4 ⋅ (4 ⋅ −5)
-------------------------
2 ⋅ 4
Simplify the numerator.
Raise 8 to the p ower of 2.
−8 ± √64 − 4 ⋅ 4 ⋅ −5
x= ---------------------------
2 ⋅ 4
Multiply −4 by 4.
−8 ± √64 − 16 ⋅ −5
x = -------------------------
2 ⋅ 4
Multiply −16 by −5.
−8 ± √64 + 80
x = -------------------
2 ⋅ 4
Add 64 and 80.
−8 ± √144
x = --------------
2 ⋅ 4
Rewrite 144 as 12^2.
−8 ± √122
x = ------------
2 ⋅ 4
Pull terms out from under the radical, assuming positive real numbers.
multiply 2 by 4
−8 ± 12
x= ------------
8
simplify
−2 ± 3
x= ---------
2
The final answer is the combination of both solutions.
x= 1/2, -5/2
Hope this helped!
Exponential notation allows the representation of numbers in shorter form.
(2 x 2 x 2)(4x4x4) = 2x2x2x2x2x2x2x2x2
Answer: There have 66.66..7% of Student own computer(s).
Step-by-step explanation:
What I did is make the whole school (270) be 100%, then I subtract from Whole school to own computer and the answer will be not own computer: 270 - 90 = 180, so there has 180 students who do not own computer, but we want to find the percentage. So we multiply 180 and 100, we will get 18,000! Then divide it to 270 and we will get 66.66..7, write it on top of 100, so it would be 66.66../100 which mean 66.66..% or 66.66..7%
Hopefully that’s helpful, if not then look the attachment include this answer to help better understanding. Good luck!
Answer:
You did not include your graph, therefore I will explain in the step-by-step everything you should need to know.
Step-by-step explanation:
The standard slope formula is y=mx + b, where m = slope (rise/run) and b = the y intercept.
Using this knowledge, we know that this line has a slope of 5, or 5/1, which means that you will go up 5 and 1 to the right. Since there is no + b part, that means b = 0, so the line begins at 0,0. So, using this information, possible points include 0,0, 5,1, 10,2, 15,3, etc.
Answer: Option 'A' is correct.
Step-by-step explanation:
Since we have given that
Total number of students at a summer camp (Universal set)= 150
Number of students who signed for canoeing (C) = 72
Number of students who signed for trekking (T)=23
Number of student who signed for both (T∩C)= 13
As we know the formula of "Sets ":
So, we need to find the number of students who signed up for neither canoeing nor trekking:
Percentage of students signed up for neither canoeing nor trekking is given by
Hence, Option 'A' is correct.
