Answer:
B. 9
Step-by-step explanation:
We assume that ...
SU = ST +TU
133 = (9x-5) +(5x+12)
126 = 14x . . . . . subtract 7, collect terms
9 = x . . . . . . . . . divide by 14
First, for end behavior, the highest power of x is x^3 and it is positive. So towards infinity, the graph will be positive, and towards negative infinity the graph will be negative (because this is a cubic graph)
To find the zeros, you set the equation equal to 0 and solve for x
x^3+2x^2-8x=0
x(x^2+2x-8)=0
x(x+4)(x-2)=0
x=0 x=-4 x=2
So the zeros are at 0, -4, and 2. Therefore, you can plot the points (0,0), (-4,0) and (2,0)
And we can plug values into the original that are between each of the zeros to see which intervals are positive or negative.
Plugging in a -5 gets us -35
-1 gets us 9
1 gets us -5
3 gets us 21
So now you know end behavior, zeroes, and signs of intervals
Hope this helps<span />
Answer:
y = 50x + 25
Step-by-step explanation:
y = mx + b
Answer:
The answer is k = 4.
Step-by-step explanation:
Given:
Y = 8 and X = 2.
Now, to solve direct variation.
direct with
.
Now, using equation to solve direct variation:


Dividing both sides by 2 we get:
.
Therefore, the answer is k = 4.
Answer:
The radius of the circle is 12.006 m.
Step-by-step explanation:
Let us assume the radius of the circle = r
Circumference = 75.4 m
Now, CIRCUMFERENCE OF A CIRCLE = 2 π r
⇒ 75 .4 m = 2 π r
Now, putting π = 3.14, we get:
75 .4 m = 2 (3.14) r
⇒ 75.4 = 6. 28 r
or, r = 75.4/6.28 = 12.006
or, r = 12.006 m
Hence, the radius of the circle with circumference 75.4 m is 12.006 m.