What is the domain of the function shown on the graph?
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Answer:

3/10 shade 3 in

Step-by-step explanation:

9514 1404 393

Answer:

  4)  6x

  5)  2x +3

Step-by-step explanation:

We can work both these problems at once by finding an applicable rule.

  [tex]\text{For $f(x)=ax^n$}\\\\\lim\limits_{h\to 0}\dfrac{f(x+h)-f(x)}{h}=\lim\limits_{h\to 0}\dfrac{a(x+h)^n-ax^n}{h}\\\\=\lim\limits_{h\to 0}\dfrac{ax^n+anx^{n-1}h+O(h^2)-ax^n}{h}=\boxed{anx^{n-1}}[/tex]

where O(h²) is the series of terms involving h² and higher powers. When divided by h, each term has h as a multiplier, so the series sums to zero when h approaches zero. Of course, if n < 2, there are no O(h²) terms in the expansion, so that can be ignored.

This can be referred to as the power rule.

Note that for the quadratic f(x) = ax^2 +bx +c, the limit of the sum is the sum of the limits, so this applies to the terms individually:

  lim[h→0](f(x+h)-f(x))/h = 2ax +b

__

4. The gradient of 3x^2 is 3(2)x^(2-1) = 6x.

5. The gradient of x^2 +3x +1 is 2x +3.

__

If you need to "show work" for these problems individually, use the appropriate values for 'a' and 'n' in the above derivation of the power rule.

Answer:

800 CAD = 508 EUR

Step-by-step explanation:

From the above question:

1 CAD = 0.635 EUR

800 CAD = x

Crososs Multiply

x = 800 CAD × 0.635 EUR

x = 508 EUR

Therefore,

800 CAD = 508 EUR

Answer:

A. S=3w

Step-by-step explanation:

Hope it helps

Answer:

1st ? -> -6x

2nd ? -> 4x

3rd ? from left -> 4x

4th ? -> 24

5th ? -> 6

Answer:

3x

Step-by-step explanation:

√9x²

√3²x²

√3²√x²

3x

hope it helps

Answer:

2x +3x =7-13=4+8

Step-by-step explanation:

5x= -6= 12

Answer:

c i think

Step-by-step explanation:

also i like anime to!

Answer:

c I think I might be wrong tho

Answer:

9 years ( approximately)

Step-by-step explanation:

900(1.03)^t = 1200

(1.03)^t= 1.33

( 1.03)^t= ( 1.03)^9

So, t= 9

Answer:

she used 60% of her money on the phone

Step-by-step explanation:

Answer: It number 4

Step-by-step explanation:

Answer:

the amount left is 16.2

Step-by-step explanation:

The computation of the amount of money spend is shown below;

Given that

Total money available $20

This week 10% would be put in piggy bank

and, in next week 10% of the money would be put again in piggy bank

So the money left is

= $20 - $20 × 10% - ($18 × 10%)

= $20 - $2 - $1.8

= $16.2

Hence, the amount left is 16.2

Answer:

The prime factorization of 56 is 2 * 2 * 2 * 7. This can also be written with exponents as 2^3 * 7.

Step-by-step explanation:

Answer:

15.25%

Step-by-step explanation:

total 45+250= 295

so percentage (45/295)×100

= 15.25%

Answer:

y - 12 = 3(x - 5)

Step-by-step explanation:

Going from (-2, -9) to (5, 12), x (the run) increases by 7 and y (the rise) increases by 21.  Thus, the slope of this line is m = rise / run = 21/7 = 3.

Using the point-slope formula y - k = m(x - h), we get:

y - 12 = 3(x - 5)

Answer:

D

Step-by-step explanation:

Because pi never ends.

Hence, D (π) is a irrational number.

Answer:

8. y=2x+6

9. y=1/2x-5

Step-by-step explanation:

Use point slope form to figure out the y intercept. Because it needs to be parallel, the same slope will be used to solve for point slope form.

Answer:

56π

Step-by-step explanation:

1. Approach

To find the radius of a circle, use the formula;

[tex]A = r^{2}[/tex]π

To find the area of the shaded region, find the area of the larger circle, and then subtract the area of the smaller circle from it.

It is given that the larger circle has a radius of 9, and the smaller has a radius of 5.

2. Area of the larger circle

[tex]A = r^{2}[/tex]π

Substitute in known value (use 3.14 for π)

[tex]A = (9)^{2} * 3.14[/tex]

A = 254.47

3. Area of the smaller circle

[tex]A = r^{2}[/tex]π

Substitute in known value (use 3.14 for π)

[tex]A = (5)^{2} * 3.14[/tex]

A = 78.54

4. Area of the shaded region

Subtract the area of the smaller circle from the area of the larger circle;

254.47 - 78.54 = 175.93

~ 56π

Answer:

4 1/2 or -1 1/2

Step-by-step explanation:

1 1/3-3= -1 1/2

1 1/2+3=4 1/2

Answer:

C

Step-by-step explanation:

AE = 14.6 I think. If I'm wrong, use whatever number it is.

Sin(x) = 5/14.6

Sin(x) = 0.3425

x = Sin-1 (0.3425)

x =20.03

Now the other larger triangle has an acute angle of 90 -20.03 =  69.97

===================

Cos(69.97) = 13.1/DE

DE = 13.1/cos(69.97)

DE = 38.25

Answer:

C

Step-by-step explanation:

Answer:

The answer is A :)

brainliest pls

Answer:

[tex]\displaystyle y = x^{-\frac{2}{3}}[/tex]

Step-by-step explanation:

Logarithms

Some properties of logarithms will be useful to solve this problem:

1. [tex]\log(pq)=\log p+\log q[/tex]

2. [tex]\displaystyle \log_pq=\frac{1}{\log_qp}[/tex]

3. [tex]\displaystyle \log p^q=q\log p[/tex]

We are given the equation:

[tex]\displaystyle \log_{2}(x) = \frac{3}{ \log_{xy}(2) }[/tex]

Applying the second property:

[tex]\displaystyle \log_{xy}(2)=\frac{1}{ \log_{2}(xy)}[/tex]

Substituting:

[tex]\displaystyle \log_{2}(x) = 3\log_{2}(xy)[/tex]

Applying the first property:

[tex]\displaystyle \log_{2}(x) = 3(\log_{2}(x)+\log_{2}(y))[/tex]

Operating:

[tex]\displaystyle \log_{2}(x) = 3\log_{2}(x)+3\log_{2}(y)[/tex]

Rearranging:

[tex]\displaystyle \log_{2}(x) - 3\log_{2}(x)=3\log_{2}(y)[/tex]

Simplifying:

[tex]\displaystyle -2\log_{2}(x) =3\log_{2}(y)[/tex]

Dividing by 3:

[tex]\displaystyle \log_{2}(y)=\frac{-2\log_{2}(x)}{3}[/tex]

Applying the third property:

[tex]\displaystyle \log_{2}(y)=\log_{2}\left(x^{-\frac{2}{3}}\right)[/tex]

Applying inverse logs:

[tex]\boxed{y = x^{-\frac{2}{3}}}[/tex]

Answer:

Quotient : 3x² + 5x + 1

Step-by-step explanation:

Answer:

<XWY= 180-23

Step-by-step explanation:

angles on a straight line add up to 180!

hope it helps! please mark me brainliest

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Answer:

2*2=4

Step-by-step explanation:

Answer:

x = 41

Step-by-step explanation

9^2 + 40^2 = x^2

81 + 1600 = 1682

square root of 1681 = 41

x = 41

Answer: Option B, x ≥ 121

Step-by-step explanation:

We start with the inequality:

√x ≥ 11.

First, we can square each side of the inequality, to get:

(√x)^2 ≥ 11^2

And we know that:

√(x^2) = (√x)^2 = x

Then:

x ≥ 11^2

x ≥ 121

So we only need to have x equal or larger than 121.

The correct option is B.

Answer:

13 miles

Step-by-step explanation:

you can go down and to the right or to the left and down but either way it takes 13 miles from her house to Trader Joe's.