Find an equation of the tangent line to the curve y = 10/(1 + e^-x) at the point (0,5)

Since y is not equal to 10, hence the coordinate point does not fall on the line graph.

Since we are not given a graph, we will use the attached graph as a reference:

The equation of a line is expressed as y = mx + b

m is the slope

b is the y-intercept

Get the slope of the line

[tex]m = \frac{0-(-2)}{-2-0}\\m=\frac{2}{-2}\\m = 1[/tex]

Since the line suts the y-axis at y = -2, hence b = -2

Get the equation of the line:

Recall that y = mx + b

y = x + (-2)

y = x - 2

Next is to check if the coordinate (5, 10) lies on the line

If x = 5

y = x - 2

y = 5 - 2

y = 3

Since y is not equal to 10, hence the coordinate point does not fall on the line graph.

Learn more here: https://brainly.com/question/17003809

Answer: x= -0.3,2

Step-by-step explanation:

Combine your like terms then solve.

Answer:

Step-by-step explanation:

Sum = 5

Product = -6

Factors = (-1) ; 6    {-1+ 6 = 5  & (-1)*6 = -6}

3x² + 5x - 2 = 0

3x² - x + 6x - 2 = 0

x(3x - 1) + 2(3x - 1) = 0

(3x - 1)(x + 2) = 0

Answer:

A) right

B) acute

C) obtuse

D) acute

Step-by-step explanation:

Answer:

-2 1/8

Step-by-step explanation:

Answer:8

Step-by-step explanation:

Answer:

do you want to build a snowman common let's go and play I see you wanna any more come out the door it's gonna go away the you the be the buddies and nower not I wish you with call me why

Answer:

£140 : £210

Step-by-step explanation:

sum the parts of the ratio, 2 + 3 = 5 parts

Divide the total by 5 to find the value of one part

£350 ÷5 = £70 , then

2 parts = 2 × £70 = £140

3 parts = 3 × £70 = £210

£350 in the ratio 2 : 3 is £140 : £210

Answer:

24

Step-by-step explanation:

Multiply 6 by 2 because Briana put 6 photographs in each card and there are 2 cards. You would get 12.

Since Briana has 2 grandmothers, multiply 12 by 2 and you would get 24.

hope that helps:)

Answer:

52.6

Step-by-step explanation:

263/5=52.6

Answer:

53

Step-by-step explanation:

You must take 263 and divide it by 5

263/5 = 52.6

So, 5 times 52 = 260

BUT 5 times 53 = 265.  You would need 53 fish bowls

Answer:

900 Large Fish

1500 Fish Total

Step-by-step explanation:

The 2:3 ratio means that for every 2 small fish sold, 3 large fish are sold.

We can divide 600 by 2 and then multiply by 3 to find our answer.

[tex]3(\frac{600}{2} )[/tex]

[tex]3(300)[/tex]

[tex]900[/tex]

To check our answer, we can put it into the form of a fraction and see if it simplifies back to that ratio.

[tex]\frac{600}{900} /\frac{300}{300} =\frac{2}{3}[/tex]

We have confirmed 900 is the correct number of large fish. To answer the second part of the question we just have to add the two numbers together.

[tex]600+900=1500[/tex]

So, our two answers are

900 Large Fish

1500 Fish Total

Answer:

c = 9.

Step-by-step explanation:

Complete the square:

x^2 - 6x + (-3)^2 = 0

x^2 - 6x + 9 = 0

(x - 3)^2 = 0

so the root is 3 and c = 9.

Step-by-step explanation:

Subtract

x2

from both sides of the equation.

−6x+c=−x2

Add

6x

to both sides of the equation.

c=−x2+6x

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{(-6)2 + (-8\div 4)}\\\mathsf{\rightarrow -6(2) + (-8\div4)}\\\large\mathsf{\rightarrow-12 + (-8\div4)}\\\mathsf{\rightarrow -12 + (-2)}}\\\mathsf{\rightarrow -12 - 2}\\\mathsf{\rightarrow -14}\\\\\\\large\textsf{Therefore, your answer is: \boxed{\mathsf{-14}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

-14

Step-by-step explanation:

Step 1 :- Distribute 2 through parantheses.

Step 2 :- Divide the number in the brackets.

Step 3 :- When there is a + in the front of an expression in parantheses, the expression remains the same .

Step 4 :- Calculate the difference.

Therefore , the answer of this expression is -14.

Answer:

432,000 miles

Step-by-step explanation:

18,000 mi/1 h = x/24h (cross multiplication)

(18,000)*(24) =

Answer:

Step-by-step explanation:

Sum of four numbers =4x5=20

Sum of three numbers =3x4=12

So fourth number =20-12=8

Answer: 7

Step-by-step explanation:

Negatives cancel out and it turns into -2+9 which is 7

:)

Answer: c

Step-by-step explanation:

The answer is the last one

Answer:

31.4 cm2

Step-by-step explanation:

The radius of the circle is 10cm.

The formula for area of a circle is: A= pi r^2.

If we plug this in, [tex]A=3.14(10)^{2}= 134[/tex]

Now divide that by 4. This gives you 33.5, which 31.4 is closest to.

9514 1404 393

Answer:

  0 (US) or 90.870 (some other places)

Step-by-step explanation:

We can see this problem being interpreted two ways, depending on the number conventions you're using.

US interpretation

In this interpretation, the decimal point separates the integer and fractional parts of a decimal number.

You want the nearest ten thousand to ninety and a fraction. Since ninety is less than five thousand, it rounds to zero.

  90.872 ≈ 0

__

French interpretation (and some other places)

In this interpretation, the comma separates the integer and fractional parts of a decimal number.

You want the nearest ten to ninety thousand eight hundred seventy-two. Since two (the units digit) is less than five, it is replaced by zero.

  90.872 ≈ 90.870

Answer:

I think the answer is true

Step-by-step explanation:

MNO is a right triangle because one of its angles is a right angle and it has a hypotenuse (the longest side) and two legs (the other two sides that are always shorter than the hypotenuse.

Hope this helps!

~Just a joyful teen

[tex]SilentNature\\(GraceRosalia)[/tex]

Answer:

losing,losing,losing.

The lower bound for the 95% confidence interval for the percentage of voters that believe that the United States is losing the War is 33.8%.

Upper and lower bounds are the maximum and minimum values that a number could have been before it was rounded. They can also be called limits of accuracy. The upper and lower bounds can be written using error intervals.

The lower bound for the 95% confidence interval can be calculated using the following formula:

Lower Bound = Percentage - (1.96 * Margin of Error)

In this case, the lower bound is calculated as:

Lower Bound = 38% - (1.96 * 2%) = 33.8%

Therefore, the lower bound for the 95% confidence interval for the percentage of voters that believe that the United States is losing the War is 33.8%.

Learn more about the upper and lower bound range here:

https://brainly.com/question/22965427.

#SPJ3

Answer:

3s

Step-by-step explanation:

Since it's 3 of them

and we don't know how much each bought

Step-by-step explanation:

Odd and even numbers I think so

Answer:

I guess 0

Step-by-step explanation:

As 0 has no value

Answer:

<-8,10>

Step-by-step explanation:

Apply Regular Subtraction rules

(-8,10)

Answer:

x= -8/3

Step-by-step explanation:

(x-6)-(x+2)=3x

step 1) remove parentheses

x-6-x-2=3x

step 2) combine like terms

-8=3x

step 3) solve for x by dividing by 3 on both sides

-8/3 = x

Answer:

See below

Step-by-step explanation:

Hi there!

We want to solve the following equation:

(x-6)-(x+2)=3x

In this equation, notice how in front of (x+2), there is a minus sign

It's the same as if the equation was:

(x-6) + -1(x+2)=3x

We'll need to distribute the -1 to both terms, x and 2

so:

-1(x+2)= -1*x + -1*2= -x + -2, or -x-2

As for the (x-6), we can just open up the parenthesis without doing anything.

So on the left side, it becomes:

x -6 -x -2 = 3x

Now we can combine like terms.

x and -x are like terms, while -6 and -2 are like terms

x and -x add up to equal 0, while -6 and -2 add up to equal -8

-8 = 3x

Now, we have 3x by itself, but remember we just want x, or 1x.

Dividing a number by itself will result in 1

So we can divide both sides by 3

*note: we shouldn't divide by 3x. When we divide by 3, the result is [tex]\frac{3x}{3}[/tex], which if we cancel out the 3 from the numerator and denominator, gets the same result as 1x. If we divided by 3x, we'd just be getting 1 on the right side, while we'd be getting [tex]-\frac{8}{3x}[/tex] on the left, which isn't what we want.

-8/3=x

Hope this helps!

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Pythagoras simply says that for a right triangle, the sum of the squares of the two shorter legs will equal the square of the hypotenuse.

a² + b² = c²

in this case a = x

                  b = x + 2

                   c = x + 3

x² + (x + 2)² = (x + 3)²

x² + (x + 2)² = (x + 3)²

x² + (x² + 4x + 4) = (x² + 6x + 9)

       2x² + 4x + 4 = x² + 6x + 9

           x² - 2x - 5 = 0

quadratic formula

x = (2 ±√(2² - 4(1)(-5))) / (2(1))

x = (2 ± √24) / 2

a negative length does not make sense so

x = 1 + √6

     x ≈ 3.4

x + 2 ≈ 5.4

x + 3 ≈ 6.4