Y =ax² + bx +c
1) Point (0,7)
7 = a*0² +b*0 +c
c = 7
y=ax² + bx + 7
2) Point (1,4)
4=a*1² + b*1 + 7, ----> 4 = a +b + 7, ------>
a+b= - 3
3) Point (2, 5)
5=a*2² + b*2 + 7, ----> 5=4a+2b +7,---> -2=4a+2b, ---->
-1=2a + b
4)
a+b= - 3, ----> b= -3 - a (substitute in the second equation)
2a+b= -1
2a - 3 - a = -1, ----> a - 3 = -1,
a =2
5) a+b= - 3
2 + b = -3
b = -5
y=2x² - 5x + 7
<span>f(x)=-6x-1
</span><span> X Y
0 -1
-1 5
6 -37
5 -31</span>
Answer: c. elm
Step-by-step explanation:
Given : The circumference of the oak tree= 0.539 meters
= [∵ 1 m = 100 cm] (1)
The circumference of the ash tree= 0.509 yards
[∵ 1 yard = 3 feet]
[∵ 1 foot = 30.48 cm]
(2)
The circumference of the elm tree = 6281.70 millimeters
(3)
The circumference of the poplar tree = 0.000385 miles
[∵ 1 mile = 5280 feet]
[∵ 1 foot = 30.48 cm]
(4)
From (1) , (2) , (3 ) and (4) it is clear that
46.54< 53.9 < 61.96 < 628.17
Hence, the elm tree has the greatest circumference.
Answer:
C
Step-by-step explanation:
ok so, assuming that b cannot equal 0, we can divide it on both sides
(3a - 5)/c = b/b
anything divided by itself is 1
(3a - 5)/c = 1
multiply c:
3a - 5 = c
3a = c + 5
a = (c + 5)/3
V = 1/3 × (pie) × radius^2 × height of cone