If the composition of two functions is:

1/x−3

What would be the domain restriction? Describe how you found that answer.

Answer:

48000cm

Step-by-step explanation:

5:15000

But, 1cm will be 3000

16cm will be 16*3000 =48000cm

Answer:

a. 62

Step-by-step explanation:

use the Bodmas method

=3×9-5+20×2

=62

The value of the expression {[3 x (3+6) - 5] + 20 x 2 will be 62. so option A is correct.

We can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

So, use the Bodmas method

=[3 × 9 - 5 ]+ 20 × 2

= [27 -5] + 40

= 22 + 40

=62

Therefore,  the value of the expression {[3 x (3+6) - 5] + 20 x 2 will be 62. so option A is correct.

Learn more about evaluating a function at a value here:

https://brainly.com/question/2753269

#SPJ2

Step-by-step explanation:

6m+7n+5m-3n

11m+7n-3n

11m+4n

Algebraic expression  for statement : the difference of -10 and the product of p is

[tex]-10-pq[/tex]

Given :

the difference of -10 and the product of p and q.

We need to translate the given statement into expression

Product means multiplication

Product of p and q is pq

Difference means the subtraction

Difference of -10 and pq can be written as

[tex]-10-pq[/tex]

Algebraic expression  for statement : the difference of -10 and the product of p is

[tex]-10-pq[/tex]

Learn more :  brainly.com/question/18792674

Answer:

Rise is the difference in y-coordinates:

Run is the difference in x-coordinates:

The slope is rise/run:

Answer:

Formula:

[tex]length = \sqrt{ {(x _{1} -x_{2} )}^{2} + {(y_{1} -y_{2}) }^{2} } [/tex]

substitute:

[tex]l = \sqrt{ { \{7 - ( - 8) \}}^{2} + {(8 - 4)}^{2} } \\ \\ l = \sqrt{225 + 16} \\ l = \sqrt{241} \\ { \boxed{ \boxed{length = 15.5 \: units}}}[/tex]

Answer and Step-by-step explanation:

To find the GCF (Greatest Common Factor), you need to see what all of the numbers have in common.

By looking at the terms in the expression, we can see that all the numbers are divisible by 4, so lets factor that out.

[tex]4(23x^7y^5+24x^5y^4+11x^4y^5)[/tex]

We can also see that the terms have a [tex]x^4[/tex] and [tex]y^4[/tex] in common, so factors those out.

[tex]4x^4y^4(23x^3y+24x+11y)[/tex] <- This is the answer.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

Total: 1060 Gain: 60

Step-by-step explanation:

1000 (Current Amount) x 0.03 (3% as a decimal) x 2 (year amount) = 60 + 1000 (Original Amount Invested) = 1060

Answer:

56

Step-by-step explanation:

solve expression using pemdas

(shown in image attached)

[tex]( - 8 \times - 6) - {4}^{2} \\ \\ - 77 - 16 \\ - 93[/tex]

Answer:

x = (300 - 215)/15

Step-by-step explanation:

x, the amount of gifts, is equal to the amount of money left over after he fixes his car, divided by the amount he's willing to spend on each gift.

josef could buy a maximum of 5 gifts! the answer is 5.6 but he can't buy half a gift, nor can he afford 6, so we round down to get 5 gifts :)

Answer:

Josef can buy 5 gifts for 75$

Answer:

[tex] {x}^{2} + 4b = 0 \\ {x}^{2} = - 4b \\ x = \sqrt{ - 4b} \\ x = 2 \sqrt{b} i \\ thank \: you[/tex]

Answer:

[tex]u + xy \\ 18 + 10 \times 8 \\ 10 + 80 \\ 90[/tex]

Answer:

Solution,

here,

u=18

x =10

y= 8

=u+xy

=18+(10×8)

=18+80

=98

48 * 24=1152

the company shipped 1152 cans of dog food I think

You're dividing 2/3 by 1/4, which is

[tex]\dfrac{\dfrac23}{\dfrac14} = \dfrac23 \times \dfrac41 = \dfrac{2\times4}{3\times1} = \boxed{\dfrac83}[/tex]

Answer: Choice B

[tex]\frac{1}{\sqrt{65}}<-4, 7>[/tex]

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

Explanation:

Consider a right triangle with legs a = 4 and b = 7. Through the pythagorean theorem, the hypotenuse is

c = sqrt(a^2+b^2) = sqrt(4^2+7^2) = sqrt(65)

This represents the length of the vector <-4,7>

Dividing each component by the length will normalize the vector. This is the same as multiplying by [tex]\frac{1}{\sqrt{65}}[/tex] which is what choice B shows. The phrasing "normalize the vector" means "make the vector to be of length 1". A common application of normalizing vectors will come up in computer graphics.

The original vector and the vector mentioned in choice B point in the same direction. The only thing that has changed is the length from sqrt(65) to 1.

there will be 26 blue marbles

Step-by-step explanation:

41-15=26

[tex]\\ \sf\longmapsto 3x+3x-2=46[/tex]

[tex]\\ \sf\longmapsto 6x-2=46[/tex]

[tex]\\ \sf\longmapsto 6x=46+2[/tex]

[tex]\\ \sf\longmapsto 6x=48[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{48}{6}[/tex]

[tex]\\ \sf\longmapsto x=8[/tex]

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]

Now, let's solve & find the value of x with equation 2.

[tex] \large \sf \: 46° = 3x° + 3x - 2° \\ \large \sf \: 46 = 6x - 2 \\ \large \sf \:46 + 2 = 6x \\ \large \sf \:48 = 6x \\ \large \sf \: \frac{48}{6} = x \\ \large \boxed{\bf \:8 = x}[/tex]

Answer:

3. -10

4. 5

5. -4

6. 24

7. 0

8. 46

9. -1

10. 42

11. -4

12. -26

13. 30

14. -5

When an equation says something like 23 - (-23) then you actually add them together because you multiply the inside by -1 to get 23 + 23

9514 1404 393

Answer:

  285

Step-by-step explanation:

Put the numbers where the variables are and do the arithmetic.

  [tex]\dfrac{x^2y-2z}{4}=\dfrac{12^2\cdot8-2\cdot6}{4}=\dfrac{144\cdot8-2\cdot6}{4}\\\\=\dfrac{1152-12}{4}=\dfrac{1140}{4}=\boxed{285}[/tex]

9514 1404 393

Answer:

  18 units

Step-by-step explanation:

The distance formula is used to find the distance between two points:

  d = √((x2 -x1)² +(y2 -y1)²)

For AB, the distance is ...

  d = √((0 -(-4))² +(-2 -1)²) = √(16 +9) = √25 = 5

The distances between the other pairs of points can be found the same way. We have elected to let a spreadsheet do the math. It tells us the perimeter of triangle ABC is 18 units.

Answer: 18 units

Step-by-step explanation:

9514 1404 393

Answer:

  3

Step-by-step explanation:

This is basically a calculator problem, though you can do it in your head. Follow the order of operations.

  [tex]\dfrac{\sqrt{144}}{\sqrt[5]{243}}-5+16\div\sqrt[3]{64}=\dfrac{12}{3}-5+\dfrac{16}{4}\\\\=4-5+4=\boxed{3}[/tex]

Answer:

3

Step-by-step explanation:

(√144/ ^5√243/) - 5 + 16 ÷ (³√64) =

12/3 -5 +16÷ 4 =

4 - 5 + 16 ÷ 4 =

-1 + 4 =

3

Answer:

AAS (Angle Angle Side) shows congruence.

Step-by-step explanation:

Basically if you have Two Angles and a side length, which you do, by rule of congruence the rest of the triangle will be equal because two angles and a side length are equal.

Answer:

3y+21=2y+18-y

3y+21=y+18

3y-y=18-21

2y=-3

y=-3/2

Step-by-step explanation:

Answer:

[tex]2x + y = 5 \\ y = 5 - 2x[/tex]

[tex]2x - y + = 5 \\ - y = 5 - 2x[/tex]

[tex]x + 2y = 5 \\ 2y = 5 - x \\ 2y = 4 x [/tex]