X=4
After squaring both sides, you get
4(x+5)=x^2-20x+100
Multiply
4x+20=x^2-20x+100
Collect like terms
4x+20-x^2+20x-100=0
Reorder
24x-80-x^2=0
Change signs & Write as difference. You end up with
x^2-4x-20x+80=0
Factor
x-4=0 , x-20=0
4=4 , 0=20
x=4
Answer:
use a calculator
Step-by-step explanation:
Let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3
Then the equation is (x-x₁)(x-x₂) = 0
If you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.
You can see that a=1 (there is just an x²)
b = (-5 -2√7 + 2√7 - 5)/3 = -10/3
c = ((-5-2√7)/3 ) * (-5+2√7)/3) = -1/3
So the equation you're looking for is:
Complete question :
grocery store was having a sale. Darla had $15 in her wallet. She planned to purchase 2 gallons of fruit juice, 3 bags of chips, and a box of cupcakes. Item Sale Price Gallon of fruit juice $3.50 for first gallon, 50% off the second gallon Bag of Chips 2 for $5 or $2.65 each Box of cupcakes $4.79 How much would Darla pay for her groceries before tax? Show your work.
Answer:
$17.69
Step-by-step explanation:
Amount had = $15
Items to be purchased = 2 gallons of fruit juice, 3 bags of chips, and a box of cupcakes.
First gallon of juice = $3.50
Second gallon = 0.5 * 3.50 = $1.75
3 Bags of chips = $2.65 + $5 = $7.65
A box of cupcake = $4.79
Total cost before tax = $(3.50 + 1.75 + 7.65 + 4.79)
= $17.69
Answer:
101=10 101=1
106=1,000,000 (one million) 10-5=0.00001 (one hundred thousandth)
107=10,000,000 (ten million) 10-6=0.000001 (one millionth)
108=100,000,000 (one hundred million) 10-7=0.0000001 (one ten millionth)
Step-by-step explanation:
