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ICE Princess25 [194]

3 years ago

15

use the function rule, y= 2x+5, to find the values of y when x =1,2,3,4. write the answers as ordered pairs that would be used t

o graph the function. show your work

1 answer:

Lady_Fox [76]3 years ago

6 0

<span>y=2(1)+5,,, y=2+5 then y=7 (1,7).....y=2(2)+5,,,y=4+5 then y=9 (2,9) .....y=2(3)+5,,, y=6+5 then y=11 (3,11)........ y=2(4)+5,,,,y=8+5 then y=13 (4,13) when solving for the y you just have to substitute the values of the x given one by one ..... for the ordered pairs -.... ex. in first equation the given value of x is 1..... so we know that is the value of x and by substituting you can find the value of y which turned to be 7 ,,, to write it (1,7) 1 is the x and 7 is the y ((x,y)

</span>

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Dmitrij [34]

Answer is 18 If you know your division you just divide then you will see that you find something common that answer would be 18 also to get this answer i used GCF
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8 0

3 years ago

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56. How many tangent lines to the curve <img src="https://tex.z-dn.net/?f=y%3Dx%20%2F%28x%2B1%29" id="TexFormula1" title="y=x /(

PIT_PIT [208]

There are 2 tangent lines that pass through the point

$y=\frac{1}{(-1+\sqrt{3)^2} } (x-1)+2$

and

$y=\frac{1}{(-1-\sqrt{3)^2} } (x-1)+2$

Explanation:

Given:

$y=\frac{x}{x+1}$

The point-slope form of the equation of a line tells us that the form of the tangent lines must be:

$y=m(x-1)+2$ $[1]$

For the lines to be tangent to the curve, we must substitute the first derivative of the curve for $m$ :

$\frac{dy}{dx} =\frac{d(x)}{dx}(x+1)-x^\frac{d(x+1)}{dx} \\ \\$

$\frac{dy}{dx} =\frac{x+1-x}{(x+1)^2}$

$\frac{dy}{dx}= \frac{1}{(x+1)^2}$

$m=\frac{1}{(x+1)^2}$ $[2]$

Substitute equation [2] into equation [1]:

$y=\frac{x-1}{(x+1)^2}+2$ $[1.1]$

Because the line must touch the curve, we may substitute $y=\frac{x}{x+1}:$

$\frac{x}{x+1}=\frac{x-1}{(x+1)^2}+2$

Solve for x:

$x(x+1)=(x-1)+2(x+1)^2$

$x^2+x=x-1+2x^2+4x+2$

$x^2+4x+1$

$x\frac{-4±\sqrt{4^2-4(1)(1)} }{2(1)}$

$x=-2$ ± $\sqrt{3}$

$x=-2$ ± $\sqrt{3}$ <em> </em> $and$ $x=-2-\sqrt{3}$

There are 2 tangent lines.

$y=\frac{1}{(-1+\sqrt{3)^2} } (x-1)+2$

and

$y=\frac{1}{(-1-\sqrt{3)^2} } (x-1)+2$

8 0

2 years ago

a store sells a 1 1/4 pound of turkey for 9 dollars what is the unit price of the turkey in the package

Ilya [14]

Answer:

7.20 dollars

Step-by-step explanation:

1 1/4 can be expressed as 5/4 ((1*4+1) /4)

If price of 5/4 pound of turkey = $9

Price of 1 pound of turkey = $9 / (5/4)

( Same way you'd divide the price of 2 pounds by 2 to get the price of 1 pound)

$9 / (5/4) = $7.2

6 0

3 years ago

What is the volume of the sphere given below? if necessary, round your answer to two decimal places.

Marrrta [24]

The formula for volume of a sphere is V=(4pi*r^3)/3.
Plugging in 12 for r we get
V=(4pi*(12)^3)/3
V=(4pi*1728)/3
V=(6912pi)/3
V=2304pi
Round to 2 decimal places: 7238.23
Final Answer:
7238.23 cubic units.
Hope I helped :)

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3 years ago

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dalvyx [7]

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3 years ago

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