The two angles are 30 degrees and 60 degrees
<em><u>Solution:</u></em>
Given that,
The measures of two complementary angles have a ratio of 1 : 2
Let the one of angle be 1x
Let the other angle be 2x
We know that,
Sum of two complementary angles is 90 degrees
Therefore,
1x + 2x = 90
3x = 90
Divide both sides by 3
x = 30
<em><u>Therefore, measure of each angles is:</u></em>
One angle = 1x = 30
Other angle = 2x = 2(30) = 60
Thus the two angles are 30 degrees and 60 degrees
The line that is parallel to the function y = -3x + 4 is the y - intercept the is greater than or less than 4.
The first one and the second one are the correct sums
Answer:
vertex (-4,-1)
2nd point ( 0,31)
Step-by-step explanation:
f(x) = 2x^2 + 16x + 31
First find the vertex
The x coordinate of the vertex is -b/2a where ax^2 +bx +c
-16/ 2(2) = -16/4 = -4
Substitute into the function
f(-4) = 2 ( -4)^2 +16(-4) +31
= 2 *16-64 + 31
= 31 -64 +31
= -1
The vertex is at ( -4,-1)
Another point can be x=0
f(0) = 0+16(0)+31
= 31
( 0,31)
Step-by-step explanation:
just think it through :
0.4x + 20 < 200
0.4x < 180
x < 180/0.4 = 450
so, x < 450
they must order less than 450 bars.
therefore, the first answer option is correct :
they can order from 0 to 449 bars, but no more.