Equation of a parabola is written in the form of f(x)=ax²+bx+c.
The equation passes through points (4,0), (1.2,0) and (0,12), therefore;
replacing the points in the equation y = ax² +bx+c
we get 0 = a(4)²+b(4) +c for (4,0)
0 = a (1.2)²+ b(1.2) +c for (1.2,0)
12 = a(0)² +b(0) +c for (0,12)
simplifying the equations we get
16a + 4b + c = 0
1.44a +1.2b + c = 0
+c = 12
thus the first two equations will be
16a + 4b = -12
1.44 a + 1.2b = -12 solving simultaneously
the value of a = 5/2 and b =-13
Thus, the equation of the parabola will be given by;
y= 5/2x² - 13x + 12 or y = 2.5x² - 13x + 12
Answer: 32
Step-by-step explanation:
We know that the original number of paper snowflakes was 36, plus 28 given by her brother. The new total would be 64 paper snowflakes and she only uses half of the paper snowflakes. The answer would be 32.
Answer:
49°
Step-by-step explanation:
First, solve for x.
3x-7+2x+17=90
5x+10=90
5x=80
x=16
Then put 16 in for x.
2(16)+17=
32+17=49
Answer:
9
Step-by-step explanation:
394,717.330 rounds to 400,000
Answer:
Step-by-step explanation:
put the left hand numbers into your calculator, find the answers.
put the equations at the bottom in your calculator and figure out which is equal to which
1. fourth answer on the botton
2. first one
3. third one
4. second one