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-Dominant- [34]
3 years ago
11

Suppose y varies directly with x. Write a direct variation equation that relates x and y.

Mathematics
1 answer:
Xelga [282]3 years ago
7 0
If y varies directly with x, then whatever is done to y is also done to x, and vice versa.

All of the answers relate to when the value of y is positive 1, meaning we have divided the original y by -10.

We must also do this to x, as they are directly proportionate, meaning x = 2 now becomes x = -1/5

Therefore the answer is [B]
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What is the maximum number of turns for the graph of f(x)=x^4+3x^2?
Stels [109]

Answer:

The turns of a graph is represented by the number of maximum or minimum that the function has.

If we differenciate f(x) we get:

f'(x)=4x^3+6x

f'(x)=2x(2x^2 + 3)

Therefore f'(x) =0, when x=0. Given that negative roots are not defined.

Therefore, the number of turns will be given by the number of solutions of f'(x) which is 1.

Attached you find the graph of the function which confirms the number of turns.

If the function had other solutions, the maximum number of turns it could have is 3! because f'(x) is a third degree polynomial, therefore it can't have more than 3 solutions!

6 0
3 years ago
I don’t know how to do this one.
serious [3.7K]

Answer:

(a) The unit circle is centered at (0,0) with a radius of 1.

(b) The equation of a circle of radius <em>r</em>, with a center located at (0,0):

<em>x</em>²<em>+ y</em>² <em>= r</em>².

(c) (i) P(1,0)

    (ii) P(0,1)

    (iii) P(-1,0)

    (iv) P(0,-1)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Between which two square roots of integers could you find 2.7182818284
klasskru [66]

That's the beginning of Euler's number ' e '.
It falls between the square roots of  7  and  8 .

Hey !  You know what ! 
It falls between the square roots of any integer
less than  8  and any integer greater than  7 .

8 0
3 years ago
If tn = 4n+1, find t1, t2, t3, and tn+1. Express tn+1−tn in its simplest form.
Doss [256]

Answer:

t_1=5

t_2=9

t_3=13

t_{n+1}-t_n=4

Step-by-step explanation:

We have that:

t_n=4n+1

When we substitute n=1, we get:

t_1=4*1+1=5

When we substitute n=2 we get:

t_2=4*2+1=9

When we substitute n=3, we get:

t_3=4*3+1=13

When we substitute n=n+1, we get:

t_{n+1}=4*(n+1)+1=4n+5

Now

t_{n+1}-t_n=4n+5-(4n+1)

We expand and simplify to obtain:

t_{n+1}-t_n=4n+5-4n-1

t_{n+1}-t_n=4

3 0
3 years ago
Use the following function rule to find
Vera_Pavlovna [14]

Answer:

what rule my screen is white

3 0
3 years ago
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