Answer:
x² + x = 42
Step-by-step explanation:
Let the number be x then the square of this number is x²
Sum and equate to 42, that is
x² + x = 42
Answer:
For
the function f(x) is continuous on
.
Step-by-step explanation:
We have the following function

For the function f(x) to be continuous on
it is sufficient to have continuity at x = 6, we need to ensure that as x approaches 6, the left and right limits match, this means that
,
which holds if and only if

namely if
.
Answer:
y = 3x + 23 and

Step-by-step explanation:
The first equation is 9x - 3y = - 69 and we have to write it in slope-intercept form.
Now, 9x - 3y = - 69
⇒ 3x - y = - 23 {Dividing both sides by 3}
⇒ 3x + 23 = y
⇒ y = 3x + 23 {Interchanging the sides} (Answer)
The second equation is x - 3y = - 6 and we have to write it in slope-intercept form.
Now, x - 3y = - 6
⇒ x + 6 = 3y
⇒ 3y = x + 6 {Interchanging the sides}
⇒
{Dividing both sides by 3}
⇒
(Answer)
X. 4/9
___. ___
1/3. 1/18
1/18x = 4/27
x = 4/27. *. 18/1 = 72/27 =8/3