The vertex is at (0, 3) so y=a(x-0)²+3, which is y=ax²+3
next, use a given point to find a: 10=a(3)²+3, so 9a=7, a=7/9
the equation is then y=
as for the first question, the shape is an ellipse, the domain is -5≤x≤5, the range is -3≤y≤3
the equation can be written as :
Answer:
commercial = 9
movie = 5
Step-by-step explanation:
Step one:
let the number of commercials be x and movies be y
so
40x+130y=1010-------------1
since there are a total of 14 commercials and movies combined
x+y=14--------------2
Hence the systems of equation is
40x+130y=1010------1
x+y=14-------------------2
Step two:
from equation 2
x=14-y
substui]te the value of x in equation 1
40(14-y)+130y=1010
560-40y+130y=1010
collect like terms
130y-40y=1010-560
90y=450
divide both sides by 90
y=450/90
y=5
movies is 90
put y=5 in equation 2
x+5=14
x=14-5
x= 9
commercial is 9 in numbers
and movie is 5
Answer:180 ...............
Answer:
Angle = 64 Degrees
Supplement of Angle = 116 Degrees
Step-by-step explanation:
Let the angle be "x"
We know
The complement of the angle is "90 - x"
and
The supplement of the angle is "180 - x"
From the statement given, we can write:
supplement is 12 LESS THAN twice the angle
The equation would be:
180 - x = 2x - 12
Now, we solve this for x:
The angle is 64 degrees
The supplement of the angle is 180 - 64 = 116 degrees
Answer:
Let p represent the teal color paint.
(0.75 × 0. 85p) + (0. 25 × 0.6p) = 0.7875p 78.75% of pure pigment is in the resulting teal color paint.
