Emma has $100 to spend at the pet store. She needs to buy 1 bag of dog food and 2 chew toys how many catnip toys can Emma buy
1 answer:
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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:
Step-by-step explanation:
To factor an expression you have to first find the highest common factor (HCF) of the numbers in the expression. You divide them by their HCF, bracket it and place the HCF outside the bracket.
To check if it is factored properly you can do the opposite of what you just did by clearing the bracket.
9 (7 + 9)
(9 x 7) + (9 x 9)
= 63 + 81
Olivia sold 14 magazines.
Step-by-step explanation:
Total magazines sold = 138
Let,
Magazines sold by Olivia = x
Magazines sold by Quincy = y
Magazines sold by Trenton = z
According to given statements;
x+y+z=138 Eqn 1
Quincy sold three times as many magazines as Olivia.
y = 3x Eqn 2
Trenton sold two less than twice the number of magazines that Quincy sold.
z = 2y-2 Eqn 3
Putting value of y from Eqn 2;
Putting value of y from Eqn 2 and value of z from Eqn 3 in Eqn 1
Dividing both sides by 10
Olivia sold 14 magazines.
Keywords: linear equations, division
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