X(7-x)>8 perform indicated multiplication on left side
7x-x^2>8 divide both sides by -1
x^2-7x<-8 halve the linear coefficient, square it, and add it to both side ie (-7/2)^2=12.25
x^2-7x+12.25<4.25 now the left side is a perfect square
(x-3.5)^2<4.25 take the square root of both sides
x-3.5<±√4.25 add 3.5 to both sides
x<3.5±√4.25
So x>3.5-√4.25 and x<3.5+√4.25 or if you want approximations
x>1.44 and x<5.56 or in interval notation:
x=(1.44, 5.56) (to nearest hundredths)
Well, if 14 ounces of the drink has 10 and a half teaspoons of sugar, and the question asks how much sugar is in 1 ounce, the equation would be, 14 / 10.5 = 1. (repeating) 3 so... 1 and 1/3 teaspoons of sugar. I hope that helps! Please mark as brainliest! :)
Answer:
200 - 5x = 125
Step-by-step explanation:
Let the number of orders made by Malik in the month of January = x
Each order costs = $5
Total cost of decaf mochas in one order = $5x
Malik had cake gift on 1st of January = $200
Amount of money left with Malik at the end of January = $125
Therefore, equation representing this situation will be,
200 - 5x = 125
<span>P(x) = x</span>³<span> + 5x</span>²<span> – x – 5
P(x) = x</span>²(x+5) - (x + 5)
P(x) = (x + 5)(x² - 1)
P(x) = (x + 5) (x + 1)(x -1)
Answer:
100
Step-by-step explanation:
50+30=80
180-80=100
Hope this helped :)