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3 years ago

Drag all of the division problems that have an estimated quotient of 12 into the box.

1 answer:

4 0

Answer:
Option 5 & 6

Step by Step Explanation:
8 / 0.95 = 8.4 ( wrong )
18 / 2.2 = 8.18 ( wrong )
47.6 / 3.9 = 16.41 ( wrong )
10.6 / 1.89 = 5.6 ( wrong )
71.9 / 6.5 = 11.061 ( correct )
123.4 / 9.2 = 13.41 ( correct )
157.4 / 16.4 = 9.59 ( wrong )

hope this helps! please give brainliest and thanks!!!

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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

3 years ago

Which equation could be solved using the graph above?

nevsk [136]

Answer:

Option 3

Step-by-step explanation:

we are given the graph of a parabola

with vertex at (0,-1) and symmetrical about y axis and also open up.

Hence the equation of the graph would be transformation of $y=x^2$

by a vertical shift of 1 unit down.

So new equation after transformation would be

$y+1=x^2$

Or $y=x^2-1$

Hence option 3 is right choice.

Verify:

Put Solving the equation we get

$x^2=1$

$x=±1$

In the graph x intercepts are the same as -1 and 1

Hence our answer is right.

8 0

3 years ago

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The initial cost for Travis and his band to record their first CD was $1500. Each CD will cost $4 to produce. If they sell their

a_sh-v [17]

C=1500+4x where x is cds, C is cost
R=10x where R is revenue
then, P=R-C
P=10x-1500-4x
P=6x-1500
set P=0
1500=6x
x=250
check, C=1500+4*250, R=10*250
C=250, R=250
They need to sell 250 cds before they make profit

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4 years ago

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IRINA_888 [86]

Answer:

Step-by-step explanation:

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3 years ago

Find all missing sides and angles

Lorico [155]

Answer:

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Step-by-step explanation:

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4 years ago