Answer: x
=
6
Explanation:
the initial statement is
x
∝
1
y
to convert to an equation multiply by k the constant
of variation
⇒
x
=
k
×
1
y
=
k
y
to find k use the given condition
x
=
4
when
y
=
9
x
=
k
y
⇒
k
=
x
y
=
4
×
9
=
36
equation is
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
x
=
36
y
2
2
∣
∣
∣
−−−−−−−−−−−−
when
y
=
6
then
x
=
36
6
=
6
Step-by-step explanation:
Answer:
x = 25 degrees
Step-by-step explanation:
All angles in a triangle should add up to 180 degrees. So to solve for x, set up an equation where all three angles added up equals 180.
180 = 99 + 56 + x
180 = 155 + x
25 = x
The unknown angle is equal to 25 degrees.
The average rate of change from x = -1 to x = 2 is 2
<u>Solution:</u>
Given function is:
f(x) = 2x - 1
We have to find the average rate of change from x = -1 to x = 2
<em><u>The average rate of change is given as:</u></em>

<em><u>The average rate of change from x = -1 to x = 2 is given by formula:</u></em>

<em><u>Find f(2) and f( - 1)</u></em>
<em><u>Substitute x = 2 in given function</u></em>
f(2) = 2(2) - 1 = 4 - 1 = 3
<em><u>Substitute x = -1 in given function</u></em>
f( - 1) = 2(-1) - 1 = -2 - 1 = -3
<em><u>Substitute the values in above formula,</u></em>

Thus average rate of change from x = -1 to x = 2 is 2
Answer:
4th option (sqrt(10))/2
Step-by-step explanation:
