Answer:
-2x^2 + 3x -1
Step-by-step explanation:
y = ax^2 + bx + c
(0,-1):
-1 = a(0)^2 + b(0) + c
-1 = 0 + 0 + c
-1 = c
(1,0):
0 = a(1)^2 + b(1) + c
0 = a + b + c
(2,-3):
-3 = a(2)^2 + b(2) + c
-3 = 4a + 2b + c
Replace c with -1
0 = a + b -1
1 = a + b
-3 = 4a + 2b -1
-2 = 4a + 2b
-1 = 2a + b
Solve:
2a + b = -1
-1a - b = -1
a = -2
2a + b = -1
-2a -2b = -2
-b = -3 divide both by -1: b = 3
a = -2; b = 3; c = -1
y = ax^2 + bx + c or y = -2x^2 +3x -1
<h2>
Answer:</h2>
Percentage is related to 100 and tells us how much we have of a quantity compared to another one. Suppose you have 100 cars and want to know how much cars are in red color. If 70 cars are red, then 70 percent of the cars are red. In general, we can find the percentage of a number following the steps:
For this example, let's take number 200 and the percentage 20%:
STEP 1: Multiply the number by the percentage:
200 x 20 = 4000
STEP 2: Now divide the number by 100:
400/100 = 40
STEP 3: If necessary., round to the desired precision.
Area of a rectangle is defined by A = lw
For us: l = 6.5 and w = 8.75
Or, A = 6.5ft(8.75ft) = 56.875ft²
Answer:
You will get x = 7
Step-by-step explanation:
2(3x + 1) = 9x - 19
6x+2 = 9x - 19
-6x. -6x
2 = 3x-19
+19 +19
21 = 3x
÷3. ÷3
x = 7
