What is the slope and y-intercept of the following graphed Line?

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:

[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:

-8x - 6

Step-by-step explanation:

Combine like terms:  combining -12x + 4x results in -8x, and combining 6 and -12 results in -6.  Thus, we have

(-12x+6)+(4x-12) = -8x - 6

Answer:

$267.5

Step-by-step explanation:

7% of 250=17.5. 250+17.5=267.5

Answer:

267.5

Step-by-step explanation:

250+7%=267.5

Hope this helps :)

Answer: It number 4

Step-by-step explanation:

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:

7 / 15= 0.47

Step-by-step explanation:

Answer:

3/10 shade 3 in

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Because pi never ends.

Hence, D (π) is a irrational number.

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:

Quotient : 3x² + 5x + 1

Step-by-step explanation:

Answer:

2*2=4

Step-by-step explanation:

Answer:

The answer should be 40

Step-by-step explanation:

85+55=140

180-140=40

Answer:

x = 41

Step-by-step explanation

9^2 + 40^2 = x^2

81 + 1600 = 1682

square root of 1681 = 41

x = 41

did you get ittttt???

please help me out

Answer:

a. 311 hours

b. i. $3,100 in receipts  

   ii. $2,799 in expenses.

Step-by-step explanation:

a. The company is making $10 per hour and spending $9 an hour. Their profit is therefore:

= 10 - 9

= $1 per hour

Since they spent $311 on the new equipment, the amount of time it would take for them to make this back is:

= 311 / 1

= 311 hours

b. In 311 hours, the total receipts would be:

= 311 * 10

= $3,110

The expenses would be:

= 311 * 9

= $2,799

Answer:

B. Lease

Step-by-step explanation:

Cash has value

A vehicle has value

A house has value

But a lease itself does not have value

Asset is something you own that has value

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

Step-by-step explanation:

It's clear from the graph that the angles of the given triangles are different.

And for similarity of two triangles, at least two angles of the triangles should be congruent.

Therefore, both the triangles are not similar.

The angles are DIFFERENT.Since similarity transformations preserve angle measures, ΔUVW and ΔGHI ARE NOT similar.

Answer:

A

Step-by-step explanation:

-75=-25a

Divide both sides by -3:

3=a

a=3

The answer is choice A

Answer:

5.25x + 55 is greater than or equal to 399

Step-by-step explanation:

55 is a fixed amount of money that Amelia already has so that will be added to the part of the eqaution: 5.25x.

Her total should be greater than or equal to $399

Answer:

The distance between points A and B is 3 units

Step-by-step explanation:

We need to find distance between points on the number line.

The points given are:

A = -1 , B = 2

The formula used is: [tex]Distance = |b-a|[/tex]

Putting values of a and b and finding answer:

[tex]Distance = |b-a|\\Distance = |2-(-1)|\\Distance=|2+1|\\Distance=|3|\\Distance = 3[/tex]

So, The distance between points A and B is 3 units

Answer:

(4, 10)

Step-by-step explanation:

Hope this helps

The solution to the system of equations is the ordered pair in option B. (4, 10).

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Population growth of two towns over a period of five years is represented by the system of equations :

y = x + 6

y = 2x + 2

Here y represents the population growth and x represents the number of years.

Solution of the system of equations is the point where the graph of both equations intersect.

Intersecting point is (4, 10).

Algebraically, we can solve this as,

We have y =  x + 6 and y = 2x + 2.

x + 6 = 2x + 2

x - 2x = 2 - 6

x = 4

y = x + 6 = 4 + 6 = 10

So (x, y) = (4, 10)

Hence the solution to the system of equations  y =  x + 6 and y = 2x + 2 is the point (4, 10).

Learn more about Linear Equations here :

https://brainly.com/question/11897796

#SPJ5

9514 1404 393

Answer:

  x = 10√3

Step-by-step explanation:

The Pythagorean theorem tells you ...

  FB^2 = BC^2 +CF^2

  FA^2 = FB^2 +BA^2

Substituting for FB^2, we have ...

  FA^2 = BC^2 +CF^2 +BA^2 = x^2 +x^2 +x^2

  FA^2 = 3x^2

  FA = x√3 = 30 . . . . take the square root and substitute for FA

  x = 30/√3

  x = 10√3

Answer:

Step-by-step explanation:

Solution:

Your problem → (3/11)-2 x (3/11)-5

(3/11)-2x(3/11)-5

=(3/11)-2x × (3/11)-5

=(3/11)-(6x/11)-5

=(3-6x-5×11)/11

=3-6x-55/11

=(-52-6x)/11

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.