If f(3) = 2 and f'(3) = -4 , find an equation of the tangent line when x = 3.
A. y = 2(x - 3) – 4
B. y = -4(x – 3) + 2
C. y = -4(x + 3) + 2
D. y = -4(x - 2) - 3

Answer:

divide 2 on both sides , 12÷2=6

Step-by-step explanation:

Your answer is x=6

Answer:

What equation?

Equations are used to represent equal expressions.

The statement that describes all three equations is that: they all represent perfect squares

The equations are given as:

[tex]x^2 - 81 = 0[/tex]

[tex]b^2 - 49 = 0[/tex]

[tex]3c^2 - 75 = 0[/tex]

By observation, we can see that all three equations represent perfect squares.

The proof is as follows:

[tex]x^2 - 81 = 0[/tex]

[tex]x^2 = 81[/tex]

Take square roots

[tex]x = 9[/tex]

[tex]b^2 - 49 = 0[/tex]

[tex]b^2 = 49[/tex]

Take square roots

[tex]b = 7[/tex]

[tex]3c^2 - 75 = 0[/tex]

[tex]3c^2 = 75[/tex]

Divide by 3

[tex]c^2 = 25[/tex]

Take square roots

[tex]c = 5[/tex]

Hence, the statement that describes all three equations is that: they all represent perfect squares

Read more about equations at:

https://brainly.com/question/2925460

Answer:

Mean = 4

Step-by-step explanation:

Mean = sum of numbers over total amount of numbers.

2 + 4 + 7 + 1 + 6 = 20

We have 5 numbers

20/5 = 4

Answer:

4

Step-by-step explanation:

In order to find the mean all you have to do is add all the number up and divide by how many numbers there are.

so 2+4+7+1+6 = 20/5 = 4

5 x 4 = 20

Answer:

x(x - 3) = 0

Step-by-step explanation:

Given

3x - 5 = x² - 5

Combine the 2 sides by subtracting 3x - 5 from both sides

0 = x² - 3x ← factor out x from each term

0 = x(x - 3)

Answer:

thats not easy

Step-by-step explanation:

Answer:

2 + [3 (5-3)] + 4² - 8

Using the BODMAS formula over here -

→ 2 + [3 (2)] + 4² - 8

→ 2 + 6 + 4² - 8

→ 2 + 6 + 16 - 8

→ 24 - 8

→ 16

Therefore, the answer of this question is 16.

Answer:

129° and 37°

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

(a)

∠ 1 is an exterior angle, thus

∠ 1 = 62° + 67° = 129°

(b)

∠ 1 + 115° = 152° ( subtract 115° from both sides )

∠ 1 = 37°

Answer:

-6

Have a great day!

Answer:

111000001110*2

2 is the base

Step-by-step explanation:

Converting 3598 to base 10.

3*103=3000

5*102=500

9*101=90

8*100=8

Adding all to get Ans=359810

The equation calculation formula for 359810 number to 2 is like this below.

2|3598

2|1799|0

2|899|1

2|449|1

2|224|1

2|112|0

2|56|0

2|28|0

2|14|0

2|7|0

2|3|1

2|1|1

2|1|1

Ans:111000001110*2

Answer: Tom is 3 years old then Brad

Step-by-step explanation:

Tom's age minus Brad's age.

13 - 10 = 3

I hope this helps you!

Answer:

Here

Step-by-step explanation:

Explanation:

First, divide each side of the equation by

3

to eliminate the parenthesis while keeping the equation balanced:

3

(

3

x

−

4

)

=

42

3

(

3

x

−

4

)

3

=

42

3

3

(

3

x

−

4

)

3

=

14

3

x

−

4

=

14

Next, add

4

to each side of the equation to isolate the

x

term while keeping the equation balanced:

3

x

−

4

+

4

=

14

+

4

3

x

−

0

=

18

3

x

=

18

Now, divide each side of the equation by

3

to solve for

x

while keeping the equation balanced:

3 x 3 = 18 3

3

x

3

=

6

x

=

6

Answer:

11

Step-by-step explanation:

Step-by-step explanation:

125+680w>2,500+450w

Answer:

2

Step-by-step explanation:

eight and 6 , and 3 by 4

Answer:

yes his answer is correct because he divided by 3

Step-by-step explanation:

Answer: how about a give you a trick to divide fraction so in this case the equation is 2/3 divided by 3 you make 3 into a fraction which is 3/1 then you flip around and which would be 1/3. Then you multiply 2/3 by 1/3  giving you 2/9.

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is ( 5 , - 2) and slope is - 2/5

The equation of the line is

[tex]y + 2 = - \frac{2}{5} (x - 5) \\ y + 2 = - \frac{2}{5} x + 2 \\ y = - \frac{2}{5} x + 2 - 2[/tex]

We have the final answer as

[tex]y = - \frac{2}{5} x \\ [/tex]

Hope this helps you

Answer:

-14

Step-by-step explanation:

5-8

4×(-3)

-12-2=-14

Answer:

y=5/3x-8/3

Step-by-step explanation:

Subtract -5x

-3y = -5x + 8

Divide both sides by -3

y = 5/3x - 8/3

Answer:

5x-3y=8

Step-by-step explanation:

Hope this helps

Answer:

I believe it is continuous and linear

I know that it is continuous for sure, but that's all I am sure about.

sorry that I couldn't help more ;-;

Answer:

Explain the question again

Step-by-step explanation:

Given:

Consider the given formula is

[tex]t=\dfrac{\sqrt{h}}{4}[/tex]

It represents the time t in seconds that it takes an object to fall from a height of h feet.

An egg falls from a height of 330 feet

To find:

The time taken by egg to reach the ground.

Solution:

We have,

[tex]t=\dfrac{\sqrt{h}}{4}[/tex]

Substitute h=330 in the above formula.

[tex]t=\dfrac{\sqrt{330}}{4}[/tex]

[tex]t=\dfrac{18.1659}{4}[/tex]

[tex]t=4.541475[/tex]

[tex]t\approx 4.54[/tex]

Therefore, the egg reach to the ground in about 4.54 seconds.

Answer:

x = 77, y = 63

Step-by-step explanation:

x - 5 = 72 ( corresponding angles )

x = 77

The 3 angles on the straight line sum to 180°, that is

x - 5 + 51 + y - 6 = 180, that is

72 + 51 + y - 6 = 180

117 + y = 180 ( subtract 117 from both sides )

y = 63

6 - 3x = 5x - 10x + 6

combine like terms

6 - 3x = -5x + 6

subtract 6 from both sides

-3x = -5x

x = 0

Step-by-step explanation:

6-6 = 5x - 10x +3x

0= - 2x

Divide both sides by -2

X = 0/-2x

I think that is the answer

Subtract magazine from total:

25 -5 = 20

Divide by number of erasers:

20/4 = 5

Each eraser cost $5

Answer:

$5

Step-by-step explanation:

Magazine cost: 5$ each

Eraser cost: X$ each

Total cost is the number of items (1 magazine) times the cost of each item (5$). We don't know the cost of each eraser, so we represent that using a variable, X.

Hope this helps :)

Step-by-step explanation:

We know that...

x+y (from the first pair) corresponds to 8(in the second pair)..

0 (from the first pair) corresponds to x-y (in the second pair)..

Hence,

[tex]x + y = 8 \\ x - y = 0[/tex]

By simply adding the two equations we get,

[tex]2x = 8 \\ x = 4[/tex]

Hence,

By substituting x=4, we get that y=4

Hence,

x=y=4

Answer:

first one is rational, second is also rational, third is rational, fourth is rational, and fifth is irrational.

Step-by-step explanation:

Rational numbers are numbers that can be expressed as a fraction or part of a whole number. (examples: -7, 2/3, 3.75) Irrational numbers are numbers that cannot be expressed as a fraction or ratio of two integers. The reason why [tex]\sqrt{12}[/tex] is an irrational number is bc it's not a perfect square while[tex]\sqrt{49}[/tex] equals to 7 and is a perfect square.

Answer:

Step-by-step explanation:

Numbers given

6.(32)

3.121121112...

√49 = 7

-27/4

√12 = 2√3

Answer:

A.(4,7)

Step-by-step explanation:

2x+3y=29

2*4+3y=29

8+3y=29

3y=29-8

3y=21

y=7

Answer:

A

2(4)+3y=29

8+3y=29

3y=21

3 divide by 21

y=7

Answer:

The answer is the picture  

Step-by-step explanation:

Step-by-step explanation:

Calculate the percent value:

0.8 =

0.8 × 100/100 =

(0.8 × 100)/100 =

80/100 =

80%;

Answer:

1/3

Step-by-step explanation:

Answer: [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Step 1: Divide both the numerator and the denominator by the GCF.

[tex]\frac{20}{60}[/tex] ÷ [tex]\frac{20}{20}[/tex]

Step 2: Simplify

[tex]\frac{1}{3}[/tex]