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Usimov [2.4K]
2 years ago
8

Help this question question

Mathematics
1 answer:
Step2247 [10]2 years ago
7 0

Answer:

-65 i suppose

Step-by-step explanation:

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if the value of x varies directly as the value of y , and x = 16 when y = 3/4 , what is the value of x when y = 3/8 ?
Olin [163]

Answer:

x=8

Step-by-step explanation:

If the value of x varies directly as the value of y we can say they are directly proportional. This implies that when y increases x will increase too, and when y decreases x will also decrease.

If x=16 when y=3/4 we can write their relation as:

x/y = 16/(3/4) = 16*(4/3) = 64/3

So, for every value of y, the ratio x/y must maintain equal to 64/3 because both values are proportional.

Now we can see what happens to x when y varies. If y=3/8:

x/(3/8) = 64/3

Multiply both sides by 3/8 to eliminate the 3/8 in the denominator.

x/(3/8) * (3/8) = (64/3) * (3/8)

See that we have a 3 multiplying and another dividing, we can eliminate them.

x = 64/8

x = 8

So, if y decreases to 3/8 x will decrease to 8. Notice that y is decreasing in a half as 3/8 is the half of 3/4, and x is also decreasing in a half from 16 to 8, what makes sense.

3 0
2 years ago
Determine the asymptotes of the function: y=x^3-5x^2+4x-25/x^2-4x+3
igomit [66]

Answer:

Vertical A @ x=3 and x=1

Horizontal A nowhere since degree on top is higher than degree on bottom

Slant A @ y=x-1  

Step-by-step explanation:

I'm going to look for vertical first:

I'm going to factor the bottom first:  (x-3)(x-1)

So we have possible vertical asymptotes at x=3 and at x=1

To check I'm going to see if (x-3) is a factor of the top by plugging in 3 and seeing if I receive 0 (If I receive 0 then x=3 gives me a hole)

3^3-5(3)^2+4(3)-25=-31 so it isn't a factor of the top so you have a vertical asymptote at x=3

Let's check x=1

1^3-5(1)^2+4(1)-25=-25 so we have a vertical asymptote at x=1 also

There is no horizontal asymptote because degree of top is bigger than degree of bottom

There is a slant asympote because the degree of top is one more than degree of bottom (We can find this by doing long division)

                       x   -1

                --------------------------------------------------

x^2-4x+3 |      x^3-5x^2+4x-25

                  - ( x^3-4x^2+3x)

                   --------------------------------

                            -x^2 +x  -25

                       -   (-x^2+4x-3)

                          ---------------------

                                   -3x-22

So the slant asymptote is to x-1

8 0
3 years ago
The Florida Panther can run at a rate of 35 miles per hour. How many miles can the panther run in 3 hours?
Rainbow [258]

Answer:

105 miles in 3 hours

Step-by-step explanation:

Your Welcome

6 0
3 years ago
In the coordinate plane, choose the graph with the conditions given.<br><br> x = -3
finlep [7]

You have not given any graphs to choose from but x=-3 would be the graph that has a vertical line running through every point that has -3 as an x coordinate and would cross the x axis (the horizontal axis) at -3

5 0
3 years ago
to the equation . Where did the student go wrong? Step 1. Factor the polynomial into (x + 6) and (x - 2)Step 2. x - 6 = 0 and x
zvonat [6]

Answer and explanation:

The wrong step  <u>is changing the sign in step 2</u>

Such that; in step 1 the student had; (x + 6) and (x - 2)

In step 2, the student should have;

x + 6 = 0 and x - 2 = 0 instead of x - 6 = 0 and x + 2 = 0

Step 3, will thus be;

x = -6 and x = 2

7 0
3 years ago
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