All the angles have to equal 180. If you add the two angles you get 140. You take 180 and subtract 140 and it equals to 40. The missing angle is 40 degrees.
I believe it's 7x because 9x+5 is 14x and 4x+3 is 7x and if u subtract it should be I'd I beg your pardon if it's wrong
Answer:
<u>The function f(x)=a(x-h)² + k is the parabola with vertex:</u>
If the vertex is in the second quadrant, the h < 0 and k > 0
It can open up or down, so a ≠0, it opens up if a > 0, opens down if a < 0
The axis of symmetry is the line parallel to y-axis and passing through the vertex, so it would be the line:
<u>Now let's assume h = -5, k = 2, a = 1, then our function is:</u>
The graph is attached and it opens up as a = 1 > 0
<u>The line of symmetry is </u>
<span><span>
cents
( Betty's pay ) - ( what she paid Bobby )
Betty gets to keep $11.70 for the day
( notice that I did all calculations in cents until
the end when I converted to dollars )
</span><span>hope this helps:))</span></span>
Answer:
The price where the manufacture sells the maximum number of toys is $20
Step-by-step explanation:
The given equation for that represents the number of toys the manufacturer can sell is given as follows;
T = -4·p² + 160·p - 305
Where;
p = The price of the toys in dollars
At the point where the manufacture sells the maxim number of toys on the graph of the equation T = -4·p² + 160·p - 305, which is the top of the graph, the slope = 0
Therefore, at the maximum point;
The slope = 0 = dT/dp = d(-4·p² + 160·p - 305)/dp = -8·p + 160
∴ -8·p + 160 = 0
160 = 8·p
8·p = 160
p = 160/8 = 20
The price where the manufacture sells the maximum number of toys is = p = 20 dollars
