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2 years ago

Is there a proportional relationship between x and y? Explain.

Mathematics

1 answer:

Vlad1618 [11]2 years ago

4 0

I don’t think so but divide the top one by the bottom one for every one of them and if it is all the same answer they are proportional x/y

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Graph the function y = 2x3 – x2 – 4x + 5. To the nearest tenth, over which interval is the function decreasing?

daser333 [38]

As you progress in math, it will become increasingly important that you know how to express exponentiation properly.

y = 2x3 – x2 – 4x + 5 should be written y = 2^x3 – x^2 – 4^x + 5. The
" ^ " symbol denotes exponentiation.

I see you're apparently in middle school. Is that so? If so, are you taking calculus already? If so, nice!

Case 1: You do not yet know calculus and have not differentiated or found critical values. Sketch the function y = 2x^3 – x^2 – 4^x + 5, including the y-intercept at (0,5). Can you identify the intervals on which the graph appears to be increasing and those on which it appears to be decreasing?

Case 2: You do know differentiation, critical values and the first derivative test. Differentiate y = 2x^3 – x^2 – 4^x + 5 and set the derivative = to 0:

dy/dx = 6x^2 - 2x - 4 = 0. Reduce this by dividing all terms by 2:

dy/dx = 3x^2 - x - 2 = 0 I used synthetic div. to determine that one root is x = 2/3. Try it yourself. This leaves the coefficients of the other factor, (3x+3); this other factor is x = 3/(-3) = -1. Again, you should check this.

Now we have 2 roots: -1 and 2/3

Draw a number line. Locate the origin (0,0). Plot the points (-1, 0) and (2/3, 0). This subdivides the number line into 3 subintervals:

(-infinity, -1), (-1, 2/3) and (2/3, infinity).

Choose a test number from each interval and subst. it for x in the derivative formula above. If the derivative comes out +, the function is increasing on that interval; if -, the function is decreasing.

Ask all the questions you want, if this explanation is not sufficiently clear.

4 0

3 years ago

Read 2 more answers

Help and thanks please

goblinko [34]

Answer:

D i think

Step-by-step explanation:

7 0

3 years ago

What are the solutions to. x^2 - x - 20 = 0

nignag [31]

Step-by-step explanation:

x² - x - 20 = 0

x² - (5-4) x - 20 = 0 

x² - 5x + 4x -20 = 0

x ( x - 5) + 4 ( x - 5) = 0

(x - 5) (x+ 4) = 0

Either. 

x - 5 = 0

x = 5

Or, 

x + 4 = 0 

x = -4

3 0

3 years ago

What is the measure of angle 1

harina [27]

Answer:

idk

Step-by-step explanation:

you need to add a picture

8 0

3 years ago

Please help me with this question

Bezzdna [24]

Answer:

1.03

Step-by-step explanation:

To find the volume of a prism, find the area of the base and multiply it by the height.

The base is an octagon. The area is found $A = 2(1+\sqrt{2})a^2$ . Substitute a = 0.5.

$A = 2(1+\sqrt{2})(0.5^2)\\A = 4.828...(0.25)\\A = 1.21$

The volume is 1.21*2.5 = 3.025.

However, there are three holes drilled out half way which each have volume 0.06.

The volume is found as V = πr²h. Substitute r = 0.125 which is half the diameter of 0.25. Since they go half way, the height is h = 1.25.

V = π(0.125)²(1.25) = 0.06.

Since there are 3, they equal 3*0.06 = 0.18.

Subtract this from the volume.

1.21 - 0.18 = 1.03

4 0

3 years ago