What is the Word phrase for 3m
2 answers:
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Answer:
Step-by-step explanation:
the y intercept determines where you are going to start and then your m or your slope tells you how many units up or down and left and right you are going to go or you rise over run in this case 2/1
so you start at (0,2) and then move 2 up and one to the right
and you go 2 units down and 1 to the left
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!
Answer:
Jimmy purchased 8 of the children's ticket and 7 of the adult's ticket.
Step-by-step explanation:
Let c = children tickets
Let a = adult tickets
<u>Given the following data;</u>
Number of tickets = 15
Total amount spent = $140
Cost of each children ticket = $7
Cost of each adult ticket = $12
*Translating the word problem into an algebraic equation (system)*
<em>For the total number of tickets;</em>
.........equation 1
<em>For the total amount spent;</em>
..........equation 2
*Solving the linear equation by using the substitution method*
<em>Making c the subject in equation 1:</em>
.......equation 3
<em>Substituting "c" into equation 2;</em>
<em>Simplifying the equation, we have;</em>
<em>Rearranging the equation, we have;</em>
a = 5 (For the $12 adult ticket).
To find the number of children tickets;
Substituting "a" into equation 3;
c = 8 (For the $7 children ticket).