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castortr0y [4]
3 years ago
13

What is 2x+3=9?????????????

Mathematics
2 answers:
ale4655 [162]3 years ago
8 0

Answer:

3

Step-by-step explanation:

Mkey [24]3 years ago
5 0

Answer:x=3

Step-by-step explanation:

Step 1: Subtract 3 from both sides.

2x+3-3=9-3

2x=6

Step 2: Divide both sides by 2.

2x/2=6/2

X=3

Hope that helps :D

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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
Which equation is represented by the graph below?
jarptica [38.1K]
Do not click the link from the person above! It will give you a virus trust me! I don’t know the answer i’m so sorry I just don’t want you to get a virus
6 0
3 years ago
2. Sandy made several investments. She bought 1000 shares of a company’s stock for $8.60/share, she bought a bond with a face va
vampirchik [111]
The stock price per share was $8.60
Number of shares bought 1000
Total price for the shares:
(Cost per share)*(Number of shares)
=8.60*1000
=$8600

The stock price after 1 year $9.15
Total number of shares is 1000
Current price=(current share price)*(number of shares)
9.15*1000
=$9150
current value=(Current price)-(buying price)
=9150-8600
=$550

Net Profit=(Current value)-(Expenses)
=550-14
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6 0
2 years ago
.In the coordinate x,y the point x is calledorigin<br>abscissa<br>line<br>y-axis<br>​
Dmitry [639]

<u>Answer:</u>

  • The x coordinate is known as <u>abscissa</u><u> </u><u>(</u><u>B)</u>

<u>Step-by-step</u><u> Explanation</u><u>:</u>

In a Cartesian plane, we learn many such terms which represent a point, or a line, or cooridnates of some points etc.

Such terms are:

  • Origin (Intersection of x axis and y-axis.)
  • x - axis (Horizontal line)
  • y - axis (Vertical line)
  • abscisaa (x -coordinate)
  • ordinate (y - coordinate)
5 0
2 years ago
Mrs. Leonard is planting a flower garden. She has 18 marigolds for every 6 petunias.
tangare [24]

Answer:

B) 1:3

Step-by-step explanation:

Let's layout the information given firstly.

Marigolds= 18

Petunias= 6

In ratios, you need to follow the arrangement, for say in this question they say petunias go first, so the ratio should involve the value 6 first.

Therefore, it will give you, 6:18.

Now, you need to simplify this ratio. Just simplify it as it were, a fraction. Divide each number by a common factor, in this case, it is 6. Once you've done that, you'll get 1:3.

Hope this helped.

8 0
2 years ago
Read 2 more answers
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