Answer:
Step-by-step explanation:
The input-output table can be made by putting value of x and finding the value of f(x)
f(x) = 3x^2-x+4
f(0) = 3(0)^2-0+4 = 0-0+4 = 4
f(1) = 3(1)^2-1+4 = 3-1+4 = 2+4 =6
f(2) = 3(2)^2-2+4 = 3(4)-2+4 = 12-2+4 = 10+4 = 14
f(3) = 3(3)^2-3+4 = 3(9)-3+4 = 27-3+4 = 24+4 = 28
So put value of x and find f(x) and fill the input-output table.
x f(x)
0 4
1 6
2 14
3 28
F(x) = 2x² - 8x - 10.
This is a parabola open upward (since a>0) with an axis of symmetry = -b/2a:
a) axis of symmetry: x = -(-8)/(2*2) = 8/4 = 2. Then x = 2, which is the x component of the vertex
b) for x = 2, f(x) = f(2) = - 18 (component of y of the vertex)
c) VERTEX(2, - 18)
d) DISCRIMINENT: b² - 4.a.c = 64 - 4*2*(-10) = 144
Answer:
Angle: 22.5 deg, Complement: 67.5 deg, Supplement: 157.5 deg
Step-by-step explanation:
22.5 is 1/3 of 67.5
so compliment is 67.5.
Supplement is just adding another angle so I chose 7.
I did 22.5 x 7 = 157.5
Another example would be:
Angle: 10 deg, Complement: 30 (because 10 x 3), Supplement: 70 (because 10 x 7)
Hope this helps :)
Answer:
Heidi (260 cookies)
Step-by-step explanation:
Megan's equation is given as y=8x, where x is the number of bags, and y the number of cookies:
#First calculate Heidi's total number of bags, cookies and cookies:
#Given that both Heidi and Megan make the same number of bags of cookies, Megan's cookies totals to:
Hence, Megan makes 416 cookies.
#From our calculations:
Hence, Heidi makes the least number of cookies(260 cookies) compared to Megan's 416 cookies.
Answer:
118 locations.
Step-by-step explanation:
44,832 / 380
= 117.98