X^2 + 6x = -2 is a quadratic equation that can be solved by completing the square.
x^2 + 6x + (6/2)^2 - (6/2)^2 = -2
Rewriting this, (x+3)^2 = -2 + (6/2)^2 = -2 + 9 = 7
tAKING THE sqrt f both sides, we get x+3 = plus or minus 5.
Finally, x = -3 plus or minus 5, which boils down to x=2 and x= -8.
Answer:
-5 + 3(7.2 - 3.2) equals 7.
Step-by-step explanation:
The order of operations states the order in which different mathematical operations should be done first, you can use the mnemonic PEMDAS to remember the order to complete each operation. PEMDAS states that the order must be followed as Parenthesis, Exponents, Multiplication/Division, and Addition/Subtraction. In the expression -5 + 3(7.2 - 3.2), the three mathematical operations being used are subtraction, multiplication, and parenthesis, so based on PEMDAS, the order to complete them is parenthesis, multiplication, and subtraction. -5 + 3(7.2 - 3.2) = -5 + 3(4) = -5 + 12 = 7, so that is your final answer.
Y=2/3x-5
That is the regular slope-intercept form
Answer:
12% loss
Step-by-step explanation:
The selling price is the sum of the cost price and the markup. Here, the markup (profit) is expressed as a percentage of the cost price.
<h3>Cost price</h3>
The relation between selling price and cost price is ...
selling price = cost price + cost price × markup fraction
selling price = cost price × (1 + markup fraction)
Then the original cost price is ...
cost price = (selling price) / (1 + markup fraction)
cost price = #1.35 / (1 +8%) = #1.25
<h3>Profit</h3>
After the change in selling price, we can find the markup fraction (profit rate) to be ...
1 + markup fraction = (selling price)/(cost price)
markup fraction = (selling price)/(cost price) -1
markup fraction = #1.10/1.25 -1 = 0.88 -1 = -0.12
The trader has a 12% loss when selling the oranges at #1.10.
Answer:
x-intercept = (1/4, 0)
Step-by-step explanation:
Just change the y to 0 if you want to find the x-intercept of a linear equation.
0=-12x+3
-12x=-3
x=1/4
y=0
x-intercept = (1/4, 0)
