1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tanzania [10]
3 years ago
7

1.2.2

frac{3}{2 + \sqrt{3} } " alt=" \frac{3}{2 + \sqrt{3} } " align="absmiddle" class="latex-formula">


​
Mathematics
1 answer:
Lena [83]3 years ago
4 0
0.803 is the correct answer
You might be interested in
Two stores offer differently priced sales for the same paper towels, according to the table below. Which store offers the better
blondinia [14]
Answer:
Store 1 has the better deal.

Explanation:
If you divide the amount the prices by the amount of paper towel roll, you would see store 1 has the better deal.

3.60 divided by 12 = 0.30
3.50 divided by 10 = 0.35

As you can see, store 1 is less expensive than store 2. Therefore, store 1 is the better deal.
7 0
3 years ago
What is the answer to this definition? To place a dot at the point named by an ordered pair.?
Deffense [45]
The answer is Graph, I hope it helps:)
7 0
3 years ago
3.01(the 1 is repeating)as a mixed number
Masteriza [31]
The quick and easy answer is 3/100
7 0
3 years ago
g Use this to find the equation of the tangent line to the parabola y = 2 x 2 − 7 x + 6 at the point ( 4 , 10 ) . The equation o
natali 33 [55]

Answer:

The tangent line to the given curve at the given point is y=9x-26.

Step-by-step explanation:

To find the slope of the tangent line we to compute the derivative of y=2x^2-7x+6 and then evaluate it for x=4.

(y=2x^2-7x+6)'          Differentiate the equation.

(y)'=(2x^2-7x+6)'       Differentiate both sides.

y'=(2x^2)'-(7x)'+(6)'    Sum/Difference rule applied: (f(x)\pmg(x))'=f'(x)\pm g'(x)

y'=2(x^2)'-7(x)'+(6)'  Constant multiple rule applied: (cf)'=c(f)'

y'2(2x)-7(1)+(6)'        Applied power rule: (x^n)'=nx^{n-1}

y'=4x-7+0               Simplifying and apply constant rule: (c)'=0

y'=4x-7                    Simplify.

Evaluate y' for x=4:

y'=4(4)-7

y'=16-7

y'=9 is the slope of the tangent line.

Point slope form of a line is:

y-y_1=m(x-x_1)

where m is the slope and (x_1,y_1) is a point on the line.

Insert 9 for m and (4,10) for (x_1,y_1):

y-10=9(x-4)

The intended form is y=mx+b which means we are going need to distribute and solve for y.

Distribute:

y-10=9x-36

Add 10 on both sides:

y=9x-26

The tangent line to the given curve at the given point is y=9x-26.

------------Formal Definition of Derivative----------------

The following limit will give us the derivative of the function f(x)=2x^2-7x+6 at x=4 (the slope of the tangent line at x=4):

\lim_{x \rightarrow 4}\frac{f(x)-f(4)}{x-4}

\lim_{x \rightarrow 4}\frac{2x^2-7x+6-10}{x-4}  We are given f(4)=10.

\lim_{x \rightarrow 4}\frac{2x^2-7x-4}{x-4}

Let's see if we can factor the top so we can cancel a pair of common factors from top and bottom to get rid of the x-4 on bottom:

2x^2-7x-4=(x-4)(2x+1)

Let's check this with FOIL:

First: x(2x)=2x^2

Outer: x(1)=x

Inner: (-4)(2x)=-8x

Last: -4(1)=-4

---------------------------------Add!

2x^2-7x-4

So the numerator and the denominator do contain a common factor.

This means we have this so far in the simplifying of the above limit:

\lim_{x \rightarrow 4}\frac{2x^2-7x-4}{x-4}

\lim_{x \rightarrow 4}\frac{(x-4)(2x+1)}{x-4}

\lim_{x \rightarrow 4}(2x+1)

Now we get to replace x with 4 since we have no division by 0 to worry about:

2(4)+1=8+1=9.

6 0
3 years ago
The ounces of yellow paint, y, needed to mix with x ounces of blue paint to make a certain shade of green paint can be represent
BaLLatris [955]

Answer:

Step-by-step explanation:

A proportional constant satisfies

y/x=k, where k is the constant of proportion

Since

y/x=k

y=kx

You are given

y=1.5x so

k=1.5

4 0
3 years ago
Other questions:
  • Express the improper fraction as a mixed number in simplest form 39/8
    14·2 answers
  • Which line is parallel to y=4x-2?<br><br>(A) y=4x+3<br>(B) y=2x-4<br>(C) y=1/4x+1<br>(D) y=-1/4x+5
    7·1 answer
  • Find the measure of the arc or angle indicated PLEASE HELP
    6·1 answer
  • a type of bacteria in a petri dish doubles every hour. If there were 1073741824 bacteria after 24 hours, how many where there to
    5·1 answer
  • Help on this one as well ii manged to get an answer but If you understand it or im wrong an you please explain ! thank you !!
    14·2 answers
  • Pls help to get 100points
    10·2 answers
  • PLEASE HELP LAST QUESTION
    9·1 answer
  • What is the length of the hypotenuse
    6·1 answer
  • Find x:<br> (4x^2-25)^2-9(2x-5)^2=0
    15·1 answer
  • In a church, the ratio of adults to children is 10 to 5. If there are 135 people in the church, how many children are there?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!