Answer:
We can have two cases.
A quadratic function where the leading coefficient is larger than zero, in this case the arms of the graph will open up, and it will continue forever, so the maximum in this case is infinite.
A quadratic function where the leading coefficient is negative. In this case the arms of the graph will open down, then the maximum of the quadratic function coincides with the vertex of the function.
Where for a generic function:
y(x) = a*x^2 + b*x + c
The vertex is at:
x = -a/2b
and the maximum value is:
y(-a/2b)
3x +2= 5x
-3x
2= 2x
/2
1= x
So first I got all the x’s on one side and the whole numbers on the other side. So we had 2 on one side and 2x on the other. From there we divided by the number of x’s which was 2 so we can get one x only. So 2/2= 1 so x =1
The value of the expression in simplest form is: 55 8/17.
Hope this helps! :D
~PutarPotato
Answer:
7 feet
Step-by-step explanation:
the new height of the bush can be represented in percentage form as 100% + 40% = 140% = 1.40
1.40 x 5 = 7 feet
Method 2
find 40% of 5 feet
0.4 x 5 = 2
Add 5 + 2 = 7 feet
Answer:
∠1 = 142°
<u>reason:</u> angles 1 and 2 are supplementary so they equal 180. 180-38 is 142
∠3 = 38°
<u>reason:</u> angles 2 and 3 are adjacent angles because they are diagonal from each other so they will equal the same measure.
∠4 = 142°
<u>reason:</u> since angle 4 is adjacent to angle 1 and is supplementary to angle 3, it has to be 142
∠5 = 38°
<u>reason:</u> since it is a transversal that means both of the intersections are the same measurements. so angle 5 is 38 since it matches up with angle 2
∠6 = 142°
<u>reason:</u> for the same reason as angle 5. angle 6 matches up with angle 1 so it has to equal 142.
∠8 = 142°
<u>reason:</u> since angle 8 is adjacent to angle 6 it has to equal 142. angle 8 is also a transverse angle to angle 4. and since angle 4 also equals 142, 8 has to also
Step-by-step explanation:
hope this helped you :)
