y is directly proportional to x. When y = 30, x = 6 a) Work out an equation connecting y and x. b) Work out the value of y when x = 12.​

Answer:

Step-by-step explanation:

Given:

The equation would be:

Find the value of C(5):

[tex]\\ \sf\longmapsto C(t)=P\left(1-\dfrac{R}{100}\right)^t[/tex]

[tex]\\ \sf\longmapsto C(t)=45000\left(1-\dfrac{18}{100}\right)^t[/tex]

[tex]\\ \sf\longmapsto C(t)=45000(1-0.18)^t[/tex]

[tex]\\ \sf\longmapsto C(t)=45000(0.82)^t[/tex]

Now

[tex]\\ \sf\longmapsto C(5)=45000(0.82)^5[/tex]

[tex]\\ \sf\longmapsto C(5)=45000(0.37)[/tex]

[tex]\\ \sf\longmapsto C(5)\approx16650[/tex]

Answer:

its closer to 0.5

Step-by-step explanation:

if you change 1/3 to a decimal its going to be 0.333333

0.33333 is closer to 0.5

Answer:

0

Step-by-step explanation:

1/3 is 1 part of 3.

0.5 is half of 1.

1/3 is closer to 0.

Have you gotten your answer yet?

I'm pretty sure the answer is C, I'm not sure though.

The rational function which is graphed below is  F(x)=1/x, the correct option is A.

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Linear function is a function whose graph is a straight line

We are given that;

The graph of the function

Now,

Points on 4/x

The function y = 4/x is a hyperbola. It has two branches that extend infinitely in opposite directions. The x-axis and y-axis are both asymptotes of the hyperbola.

On y= 1/x-4

The function y = 1/(x - 4) is also a hyperbola. Its asymptotes are the vertical line x = 4 and the horizontal line y = 0.

On y = 1/(x + 4)

The function y = 1/(x + 4) is also a hyperbola. Its asymptotes are the vertical line x = -4 and the horizontal line y = 0.

Therefore, by the given graph function will be F(x)=1/x.

Learn more about function here:

https://brainly.com/question/2253924

#SPJ7

Answer:

18 units

Step-by-step explanation:

To find the distance between two points in the coordinate plane, you must use the distance formula, which is [tex]\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1})^{2}}[/tex], and substitute the points into the formula.

[tex]\sqrt{(24-24)^{2}+(-4-14)^{2} }[/tex]

[tex]\sqrt{(0)^{2}+(-18)^{2} }[/tex]

[tex]\sqrt{324} }[/tex]

[tex]18[/tex] [tex]units[/tex]

I hope this helps you out! Have an awesome day ;)

Answer:

14 feet

Step-by-step explanation:

Area= base x height

Height=area/base

182/13=14

Is that geometry or algebra

Step-by-step explanation:

...

Answer:

80 rooms

Step-by-step explanation:

since 45% of the rooms are booked, and 36 rooms are booked, then this means that 36 = 45% of x.

then, you we have 45% × x = 36

or [tex]\frac{45}{100}[/tex]  × x = 36

Multiplying both sides by 100 and dividing both sides by 45,

we have x = 36 ×  [tex]\frac{100}{45}[/tex]

= [tex]\frac{3600}{45}[/tex]  

x = 80

Answer:

closer to 0.5

Step-by-step explanation:

2/5 in decimal form is 0.4

Answer:

Two fifths is 0.4 so it is closer to 0.5 than it is to 0

Answer:

$14

Step-by-step explanation:

30% -> 0.3

20 x 0.3 = 6

20 - 6 = 14

The new price of the shirt will be 14 dollars.

Hope this helps, have a nice day :D

$14

Step-by-step explanation:

30% × 20

= 30/100 × 20

= 600/100

= $6

The new price of the shirt :

$20 - $6

= $14

Answer:

a=5 b=8

Step-by-step explanation:

[tex] {(a {r}^{b} )}^{3} = 125 {r}^{24} [/tex]

[tex] {(a {r}^{b} )}^{3} = {5}^{3} {r}^{24} [/tex]

{125 = 5×5×5 = 5³}

[tex]{(a {r}^{b} )}^{3} = {(5 {r}^{8}) }^{3} [/tex]

{Taking 3 power outside to get 5r⁸}

{Then match the positive integer with a and b}

Therefore,

a= 5

b= 8

Answer:

You didn'ttell us the question

Step-by-step explanation:

where is the question?

Answer:

the slope is 0/-3 or just 0

Step-by-step explanation:

[tex]y2= m(x2 - x1) + y1[/tex]

Thus the third Option is the correct answer.

Step-by-step explanation:

15/7×10/3

LCM of 3,7 is 21

So, Make denominators equal

45×70/21

3150/21

150 by cancelling

Answer:

They are always polynomial.

Step-by-step explanation:

adding , multiplying and subtracting polynomial function from another polynomial function always results polynomial. but you need to restrict the domain of the denominator function when you divide polynomial by another polynomial. it may not always result polynomial function.

Answer:

- 16.2

Step-by-step explanation:

You can just divide it XD

-8.1 ÷ 0.5

= - 16.2

Answer:

i) k = -6

Step-by-step explanation:

12 = 2(1)^3 + 5(1)^2 - k(1) - 1      (Substitute 1 for x & set equal to 12)

12 = 2 + 5 - k - 1      (Clean)

12 = 6 - k      (Add and substract numbers on the right side)

6 = -k      (Subtract)

k = -6      (Divide by -1)

-5+9f

8f+f-5

We cannot add variables and constants, so we only add the f's:

-5+9f is the answer

Hope this helps

~Just a joyful teen

[tex]-GraceRosalia[/tex]

Hello!

Answer:

22-3= 19

Step-by-step explanation:

Hope this helps!

Answer:

The additive inverse of 2 is -2.

Step-by-step explanation:

Answer:

Your answer should be B) a =2 I hope this helps you! Goodluck! :D

a - 17 = -15

Add 17 to both sides

a - 17 + 17 = -15 + 17

(-15 + 17 is the same as 17 - 15)

a = 2

Hope this helps!! :)

Answer:

840

Step-by-step explanation:

Given data

term- 1,4,20,120

to find out

next term =?

= pattern=1×4=4

=4×5=20

=20×6=120

= the next will be 120×7=840

Answer:

840 is the answers for the question

Step-by-step explanation:

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