Answer:
Multiply by 2 because if 6÷3=2, same for 24÷12=2
<span>Simplifying
u(x) = -2 + -2x + 7
Multiply u * x
ux = -2 + -2x + 7
Reorder the terms:
ux = -2 + 7 + -2x
Combine like terms: -2 + 7 = 5
ux = 5 + -2x
Solving
ux = 5 + -2x
Solving for variable 'u'.
Move all terms containing u to the left, all other terms to the right.
Divide each side by 'x'.
u = 5x-1 + -2
Simplifying
u = 5x-1 + -2
Reorder the terms:
u = -2 + 5x-1</span>
Answer:
yes
Step-by-step explanation:
Hi there!
We want to see if 9, 40, and 41 can be the sides of a triangle that can exist
We can use triangle inequalities to figure that out
For triangle inequalities, if the lengths of the sides are a, b, and c, then a+b>c, b+c>a, and c+a>b, then the lengths can make a triangle
Let's say that a=9, b=40, and c=41
Now substitute these values into the inequalities:
a+b>c
9+40>41
49>41
This is a true statement.
b+c>a
40+41>9
81>9
This is also a true statement.
41+9>40
50>40
This is a true statement as well.
Since all three of the inequalities ended up being true (all three NEED to be true in order for the given lengths to make a triangle), then we can confirm that 9, 40, and 41 can make a triangle
Hope this helps!
See more on this topic here: brainly.com/question/17357347
Answer:
Maximum value is y=24 when x=20
Step-by-step explanation:
The maximum value of the downward parabola is its vertex. Since the vertex is (20,24) then the maximum value is y=24 when x=20
Answer:
y = 6x − 11
Step-by-step explanation:
x = t + (1/t), y = t² + (1/t²)
If we square x:
x² = t² + 2 + (1/t²)
x² = y + 2
When x = 3, y = 7.
Taking derivative with respect to time:
2x = dy/dx
dy/dx = 6
So the equation of the tangent line is:
y − 7 = 6 (x − 3)
y − 7 = 6x − 18
y = 6x − 11
