9514 1404 393
Answer:
y = -3x^2 -9x +30
Step-by-step explanation:
When a polynomial has a zero at x=p, it has a factor of (x -p). The factors of your quadratic are ...
f(x) = (x +5)(x -2)
At the point x=3, the value of this product is ...
f(3) = (3 +5)(3 -2) = (8)(1) = 8
In order for that value to be -24, it needs to be multiplied by a scale factor of -3. The quadratic you want is ...
y = -3(x +5)(x -2)
y = -3x^2 -9x +30 . . . . . standard form
Answer:
3.2
Step-by-step explanation:
Step 1: Multiply the whole number by the denominator: 3 × 5 = 15.
Step 2: Add the product you got in Step 1 to the numerator: 15 + 1 = 16.
Step 3: Divide the sum from Step 2 by the denominator: 16 ÷ 5 = 3.2. That's it folks!
1600<2570-125.5x<2000 subtract 2570 from all terms...
-970<-125.5x<-570 divide all terms by -125.5 (and reverse signs because of division by a negative!)
7.73>x>4.54 and x is months since January, and since months can only be integers...
x=[5,7]
So January + 5, 6, and 7 respectively are the three months that satisfy the equation...
June, July, and August.
Area of a right triangle is equal to (the length times the height) divided by 2
So the area of each tile is (3 x 3) / 2 = 4.5 square centimeters
200 tiles equal 200 x 4.5 = 900 sq cm
