PLEASE NO LINKS AND NO NEGATIVITY

Answer:

(9 ^ 3) x 0.04 (4/99)

Step-by-step explanation:

This seems overwhelming, but after simplifying, it will look much easier

Numerator (First Row)

First, we will combine like terms and simplify the top row

(9 ^ x + 1) x 8 - (9 ^ x - 1) x 81

(9 ^ x + 1) - (9 ^ x - 1) x (8 x 81)

(9 ^ 2x) x 648

Denominator (Second Row)

Next, we can combine like terms and simplify the second row

(9 ^ x) x 66 - (9 ^ x - 2) x 243

(9 ^ x) - (9 ^ x - 2) x (66 x 243)

(9 ^ 2x + 2) x 16,038

Simplify

Our expression is now

(9 ^ 2x) x 648

(9 ^ 2x + 2) x 16,038

We can simplify it as

(9 ^ 3) x 0.04 (4/99)

g(x) as given has no inverse because there are instances of two x values giving the same value of g(x). For instance,

x = -1   ⇒   g(-1) = 4 (-1 + 3)² - 8 = 8

x = -5   ⇒   g(-5) = 4 (-5 + 3)² - 8 = 8

Only a one-to-one function can have an inverse. g(x) is not one-to-one.

However, if we restrict the domain of g(x), we can find an inverse over that domain. Let [tex]g^{-1}(x)[/tex] be the inverse of g(x). Then by definition of inverse function,

[tex]g\left(g^{-1}(x)\right) = 4 \left(g^{-1}(x) + 3\right)^2 - 8 = x[/tex]

Solve for the inverse:

[tex]4 \left(g^{-1}(x) + 3\right)^2 - 8 = x[/tex]

[tex]4 \left(g^{-1}(x) + 3\right)^2 = x + 8[/tex]

[tex]\left(g^{-1}(x) + 3\right)^2 = \dfrac{x + 8}4[/tex]

[tex]\sqrt{\left(g^{-1}(x) + 3\right)^2} = \sqrt{\dfrac{x + 8}4}[/tex]

[tex]\left| g^{-1}(x) + 3 \right| = \dfrac{\sqrt{x+8}}2[/tex]

Recall the definition of absolute value:

[tex]|x| = \begin{cases}x & \text{if }x\ge0\\-x&\text{if }x<0\end{cases}[/tex]

This means there are two possible solutions for the inverse of g(x) :

• if [tex]g^{-1}(x) + 3 \ge 0[/tex], then

[tex]g^{-1}(x) + 3 = \dfrac{\sqrt{x+8}}2 \implies g^{-1}(x) = -3+\dfrac{\sqrt{x+8}}2[/tex]

• otherwise, if [tex]g^{-1}(x)+3<0[/tex], then

[tex]-\left(g^{-1}(x) + 3\right) = \dfrac{\sqrt{x+8}}2 \implies g^{-1}(x) = -3-\dfrac{\sqrt{x+8}}2[/tex]

Which we choose as the inverse depends on how we restrict the domain of g(x). For example:

Remember that the inverse must satisfy

[tex]g\left(g^{-1}(x)\right) = x[/tex]

In the first case above, [tex]g^{-1}(x) + 3 \ge 0[/tex], or [tex]g^{-1}(x) \ge -3[/tex]. This suggests that we could restrict the domain of g(x) to be [tex]x \ge -3[/tex].

Then as long as [tex]x \ge -3[/tex], the inverse is

[tex]g^{-1}(x) = -3+\dfrac{\sqrt{x+8}}2[/tex]

D. None of these.

Equilateral is the only triangle that has all the sides that are equal to each other. Hope this helped you :)

Option D . None of these is the correct answer.

Answer:

1

Step-by-step explanation:

Given that Angelo spends the same amount everyday from the amount in

the lunch card, the function of the amount remaining is a linear function.

Reasons:

The amount Angelo's mother put on the lunch card = $50

A possible table of values to the question is presented as follows;

[tex]\begin{tabular}{r|c|c|c|c|}Days&0&1&2&3\\Money Remaining&&44.75&39.5&\end{array}\right][/tex]

Required:

The constant rate of the function that gives the amount remaining from the

amount Angelo's mother put on his lunch card.

Solution:

The two ordered pair that can be used to find the slope or constant rate of change are;

(x₁, y₁) = (1, 44.75), and (x₂, y₂) = (2, 39.5)

With the above two ordered pairs, we have the constant rate of change of the function given as follows;

[tex]Constant \ rate \ of \ change\ (The \ slope) =\dfrac{39.5-44.75}{2-1} = \mathbf{ -5.25}[/tex]

The constant rate of change for the function that gives the amount remaining in the lunch card is; -5.25

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Answer:

height = 10 , area = 240 units²

Step-by-step explanation:

The diagonal splits the rectangle into 2 right triangles.

Using Pythagoras' identity in the right triangle formed

with hypotenuse h = 26 and legs 24 and height x , then

x² = 26² - 24² = 676 - 576 = 100 ( take square root of both sides )

x = [tex]\sqrt{100}[/tex] = 10

Height = 10 units

area of rectangle = 24 × 10 = 240 units²

Answer:

x=-10, y=-9. (-10, -9).

Step-by-step explanation:

-2x+2y=2

-x+3y=-17

----------------

-2x+2y=2

-2(-x+3y)=-2(-17)

-------------------------

-2x+2y=2

2x-6y=34

----------------

-4y=36

y=36/-4

y=-9

-x+3(-9)=-17

-x-27=-17

-x=-17+27

-x=10

x=-10

Answer:

Percentage of one lap around the track of

the total race = 0.25%

It will take 300 laps to complete 75% of the race.

Step-by-step explanation:

1.2/480=0.0025

0.0025*100=0.25

480/100*75= 360

360/1.2=300

The probability that the card has a multiple of 3 and an odd number is 20%.

Given:

The number of cards: 15

Multiples of 3 and odd no are 3,9, and 15.

The number of cards Multiples of 3 and odd number = 3

Probability of getting a multiple of 3 cards = 3/15× 100

⇒ 20%

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Learn more about Probability here: brainly.com/question/251701

#SPJ2

Answer:

c

Step-by-step explanation:

Answer:

K(w)=P(w)

150 - 15w = 180 - 20w

Collect like terms

-15w + 20w = 180 - 150

5w = 30

w = 30/5

w = 6

Therefore, w = 6 weeks

Answer:

9

Step-by-step explanation:

The equation for a slope is y=mx+b, b being the y-intercept. Then, you can plug in the equation given and have 9 as your answer.

Answer:

the y intercept is 0

Step-by-step explanation:

i used a slope to help me find the y-intercept

Answer: d.

15/24 is not an equivalent fraction of 3/5.

Answer:

a. 45

b. 305

(left side) just sports, (middle) amount that did both, (right side) kids that just did music

Step-by-step explanation:

a. 250 + 145 = 395 395-350 = 45

b. 350-45= 305

ope this helps :)

Answer:8x

Step-by-step explanation:

2++2=4 add x up 4 = 8x

Do you mean 2x for the first term or x^2? If the first term is 2X then the solution would be 4x+4. If the first term is not 2x but x^2 instead, then there is no solution for it

Since 0 is greater than -4 in the expression 4.1m >-16.4, hence zero is a solution to this inequality

Given the following inequality, we are to check which of them has zero as a solution.

For the expression

4.1m >-16.4

m > -16.4/4.1

m > -4

Since 0 is greater than -4, hence zero is a solution to this inequality

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Answer:

a) 8 ,18 year old students took part in the survey

b) 10

Answer:

ang hirap naman plss answee

Answer

(225-degree, 315 degree)

Step-by-step explanation:

Answer:

Explanation

Step-by-step explanation:

Well, to find a function of a given graph, you would need m, its slope, and b, its y-intercept. After you've done that, place the function in the format of f(x) or y = mx + b.

Find the slope using the formula y2-y1/x2-x1 or rise/run

Find the y-intercept by looking for the point that touched with the y-axis.

Answer:

I don't think I can remember every skill I was taught through the years but in Kindergarten we used Number Sense so we could understand the meaning of more and less also there's estimation and  PEMDAS. I've also learned how to round up so that the solution is at least around those numbers if the skill is to be applied.

hope that helps

Step-by-step explanation:

Answer:

Its C.

Step-by-step explanation

:Took the test

From the steps Simon used in solving the equation, the property he applied to get to step 4 from step 3 is: A. addition property of equality.

The addition property of equality states that to balance an equation, whatever value we add to one side of an equation must be added also from the other side of the equation.

In step 3, we have the following equation:

-8x - 42 = -22

Simon applied the addition property of equality by adding 42 to both sides of the equation to get -8x = 20 in step 4.

-8x - 42 + 42 = -22 + 42

-8x = 20

Therefore,  from the steps Simon used in solving the equation, the property he applied to get to step 4 from step 3 is: A. addition property of equality.

Learn more about addition property of equality on:

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Answer:

A. two lines in a plane with opposite reciprocal slopes

Step-by-step explanation:

Because, if you flip a slope and change the sign, you get an opposite reciprocal to the original slope, thus, forming perpendicular lines.