Help ppl me yalllll

Help Ppl Me Yalllll

Answers

Answer 1

Answer:

B

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = 2πr ( isolate r by dividing both sides by 2π )

C ÷ 2π = r → B

Answer 2

Answer:

b=[tex]\frac{c}{2\pi }[/tex]

Step-by-step explanation:


Related Questions

Simplify. Type your answer in the box. Use a slash (/) to show a fraction. Do not add any spaces.

–7'2

Answers

Answer:

you mean

[tex] - 7.2[/tex]

?

if so, then,

[tex] - 7.2 = - \frac{72}{10} [/tex]

[tex] - \frac{36}{5} [/tex]

...

please ineed help --------------------

Answers

Answer:

9 × 5= 45 .Frankie has 9 nickles.

Step-by-step explanation:

Because 5 divided by 45 equals to 9.

line m contains the points -3,4 and 1,0. write the equation of a line that would be perpendicular to this one and pass through the point -2,6 answer for algebra 1 need help

Answers

The equation of line perpendicular to line containing points (-3, 4) and (1, 0) and passes through (-2, 6) in point slope form is y = x + 8

Solution:

Given that line m contains points (-3, 4) and (1, 0)

We are asked to find the equation of line perpendicular to line containing points (-3, 4) and (1, 0) and passes through (-2, 6)

Let us first find slope of the line "m"

Given two points are (-3, 4) and (1, 0)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]\left(x_{1}, y_{1}\right)=(-3,4) \text { and }\left(x_{2}, y_{2}\right)=(1,0)[/tex]

[tex]m=\frac{0-4}{1-(-3)}=-1[/tex]

Thus slope of line m is -1

We know that product of slope of given line and perpendicular line are always -1

So, we get

[tex]\begin{array}{l}{\text { slope of line } m \times \text { slope of perpendicular line }=-1} \\\\ {-1 \times \text { slope of perpendicular line }=-1} \\\\ {\text { slope of perpendicular line }=1}\end{array}[/tex]

So we have got the slope of perpendicular line is 1 and it passes through (-2, 6)

Let us use the point slope form to find the required equation

The point slope form is given as:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex](x_1, y_1) = (-2, 6)[/tex] and m = 1

y - 6 = 1(x - (-2))

y - 6 = x + 2

y = x + 8

Thus equation of required line in point slope form is y = x + 8

I need help if you look at the answers, b and c are the same. What do I pick?

Answers

Answer:

We have to choose any one from option B and option C

Step-by-step explanation:

We have to perform a subtraction of two decimal numbers.

(9.43 - 4.286) = (9.430 - 4.286) = 5.144.

Hence, the answer is 5.144 which is given both options B and C.  

In case there are two options with the same value and the value is the answer, then you choose any one of them but not both.

Here in our case, we have to choose any one from option B and option C and we will be rewarded full marks. (Answer)

Water constitutes approximately 8/25 of the body of an average adult female.About what percent of the average adult female body is made out of water?

Answers

Answer: About 32% of the average adult female body is made out of water.

Step-by-step explanation:

According to the data given in the exercise [tex]\frac{8}{25}[/tex] of the body of an average adult female is made out of water.

Then, you need to convert from fraction to percent. The steps are:

1. Divide the numerator of the fraction (In this case the numerator is  8) by the denominator of the fraction (In this case the denominator is 25). Then:

[tex]\frac{8}{25}=0.32[/tex]

2. Multiply the result 0.32 by 100:

[tex]0.32*100=32\%[/tex]

Therefore,  about 32% of the average adult female body is made out of water.

The sum of two numbers is 50 . The larger number is 10 more than the smaller number. What are the numbers?

Answers

Answer:

the numbers are 20 and 30

PLS HELP!

I really wanna cry I don’t understand this

Answers

Answer: shown below

Step-by-step explanation:

It’s hard to explain but,

First you need to find the slope and y intercept of the equation and graph that. Graph y=3x-5. Graph y= -2x+3. Graph y=2. (In case you don’t know, f(x) is y.)

Then use the equation after the “if”. For example, to graph -1 < x < 4 for the equation y= -2x+3, find the numbers -1 and 4 located on the graph and find the points y=-2x+3 has on number -1 and 4. Both numbers are a open circle.

Do the same for the rest of the equations.

For the equation y= 2, the equation is x>4 (there’s a line under >, just can’t add it), Locate 4 on the graph. Find the point above 4. It is a closed circle pointing to the right because it is all numbers greater than or equal to 4.

Then for the equation y= 3x-5, the equation for it is x< -1. (Again, there’s a line under <) Find -1 on the graph. Look for the point y=3x-5 has under -1. It is a closed circle because all numbers are less than or equal to -1.

x+5y; use x = 1 5/6, and y = 3 1/6

Answers

Answer:

53/3

Step-by-step explanation:

1 5/6=11/6

3 1/6=19/6

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

11/6+5(19/6)=11/6+95/6=106/6

simplify

53/3

A bedroom is in the shape of a rectangle. The length of the bedroom is represented by 3x^2 and the width is represented by 7x+14. The square rug has a length of 4x +3 what is the area of the bedroom that is not covered by the rug?

PLEASE HELP

Answers

The area of the room that is not covered by the rug is: [tex]21x^3+26x^2-24x+9[/tex]

Step-by-step explanation:

Let L be the length of the room

and

W be the width of the room

Then

L = 3x^2

W = 7x+14

Area of the bedroom:

[tex]A_r = L*W\\=3x^2(7x+14)\\=21x^3+42x^2[/tex]

Area of Rug:

Let S be the side of rug

S = 4x+3

[tex]A_{rug} =S^2\\=(4x+3)^2\\=(4x)^2+2(4x)(3)+(3)^2\\=16x^2+24x+9[/tex]

The area of the room that is not covered by the rug will be obtained by subtracting the area of the rug from the area of the room.

So,

[tex]Area\ of\ room\ not\ covered\ by\ rug =A_r - A_{rug}\\= 21x^3+42x^2-(16x^2+24x+9)\\=21x^3+42x^2-16x^2-24x-9\\=21x^3+26x^2-24x+9[/tex]

Hence,

The area of the room that is not covered by the rug is: [tex]21x^3+26x^2-24x+9[/tex]

Keywords: Rectangle, square

Learn more about area at:

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write the product in its simplest form 3w^5×7w^5​

Answers

Answer:

21[tex]w^{10}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]

Given

3[tex]w^{5}[/tex] × 7[tex]w^{5}[/tex]

= 3 × 7 × [tex]w^{(5+5)}[/tex]

= 21[tex]w^{10}[/tex]

Write the following comparison as a ratio reduced to lowest terms.

37 nickels to 23 dimes

Answers

Answer:

37 : 46

Step-by-step explanation:

I nickel is equivalent to 0.05 dollars.

So, 37 nickels are equivalent to (0.05 × 37) = 1.85 dollars.

Again, we can write 1 dime is equal to 0.1 dollars.

So, 23 dimes are equivalent to (23 × 0.1) = 2.3 dollars.

Therefore, to compare 37 nickels to 23 dimes as a ratio reduced to lowest term will be 1.85 : 2.3 = 185 : 230 = 37 : 46 (Answer)

Final answer:

To write the comparison of 37 nickels to 23 dimes as a ratio in lowest terms, you convert the value of nickels and dimes to cents and simplify the ratio value-wise, resulting in a simplified ratio of 37:46.

Explanation:

The student is asking to express the comparison of 37 nickels to 23 dimes as a ratio reduced to lowest terms. Since both nickels and dimes are types of coins, it helps to understand that their value does not directly translate to a quantity ratio but rather a value ratio. A nickel is worth 5 cents, and a dime is worth 10 cents. Therefore, the value ratio of nickels to dimes is 5 cents per nickel to 10 cents per dime.

To find the simplified ratio, we can represent the comparison of the value of 37 nickels to 23 dimes as:

(37 nickels × 5 cents/nickel) to (23 dimes × 10 cents/dime)185 cents to 230 cents185/230

This ratio can be reduced by dividing both terms by the greatest common divisor of 185 and 230, which is 5:

185 ÷ 5 = 37230 ÷ 5 = 46

So, the simplified ratio is 37:46.

Mofor’s school is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 7 adult tickets and 6 tickets for a total of $143. The school took in $187 on the second day by selling 4 adult tickets and 13 student tickets. Find the price of an adult ticket and the price of a student ticket.

Answers

The price of one adult ticket is $ 11 and the price of one student ticket is $ 11

Solution:

Given that , Mofor’s school is selling tickets to the annual dance competition.  

Let the cost of one adult ticket be $m and the cost of one student tickets be $n.

On the first day of ticket sales the school sold 7 adult tickets and 6 tickets for a total of $143.  

[tex]\text { Then, } 7 \times \text { cost of one adult ticket }+6 \times \text { cost of one student ticket }=\$ 143[/tex]

7m + 6n = 143 ------- eqn (1)

The school took in $187 on the second day by selling 4 adult tickets and 13 student tickets.  

[tex]\text { Then, } 4 \times \text { cost of one adult ticket}+13 \times \text { cost of one student ticket}=\$ 187[/tex]

4m + 13n = 187  ------ eqn (2)

We have to find the price of an adult ticket and the price of a student ticket.

Now, let us solve the equations.

Multiply eqn 1 by 4

28m + 24n = 572  ----- eqn 3

Multiply eqn 2 by 7

28m + 91n = 1309  ---- eqn 4

Now subtract eqn 4 from eqn 3

28m + 24n = 572

28m + 91n = 1309

(- )--------------------------------------

– 67n = - 737

67n = 737

n = 11

Plug in n = 11 in eqn 1

7m + 66 = 143

7m = 143 – 66

m = 11

Hence, the cost of one adult ticket is $ 11 and cost of one student ticket is $11

What is thg e alebracir equation for m=1 (3,3)

Answers

The algebraic equation for the line whose slope is m = 1 and passes through point (3 , 3) is y = x

Step-by-step explanation:

The algebraic equation of a line whose slope is m and passes

through point [tex](x_{1},y_{1})[/tex] is

[tex]y-y_{1}=m(x-x_{1})[/tex]This form is the slope-point form of the equation of a line

∵ The slope of the line is m = 1

∵ The line passes through point (3 , 3)

∴ [tex]x_{1}[/tex] = 3

∴ [tex]y_{1}[/tex] = 3

- Substitute these values in the form of the equation

∵ [tex]y-y_{1}=m(x-x_{1})[/tex]

∴ y - 3 = (1)(x - 3)

- Simplify it

∴ y - 3 = x - 3

- Add 3 to both sides

∴ y = x

The algebraic equation for the line whose slope is m = 1 and passes through point (3 , 3) is y = x

Learn more:

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To the nearest hundred, what is the greatest whole number that rounds to 2,500 to the least who.e number?

Answers

Answer:

2400

Step-by-step explanation:

Plz do brainliess  answer

Answer: 2,400

Step-by-step explanation: You're rounding  2,500 to the nearest least whole hundred  number, so that would be 2,400 I hope I explained that right...

Kay has 28 coins which includes nickels and dimes if the total is 2.35$, how many of each coin does Kay have?

Answers

Answer:

19 dimes and 9 nickels

Step-by-step explanation:

Model the situation using two equations, then solve the system.

let n be number of nickels and d be number of dimes.

n + d = 28     <= This equation is about the number of coins.

0.05n + 0.10d =  2.35   <=This equation is about the worth in dollars.

Rearrange n + d = 28.

n = 28 - d

Now we can substitute this equation into the other one.

Sub n =28-d at the "d" variable for the equation 0.05n + 0.10d =  2.35

0.05n + 0.10d =  2.35

Now there is only one variable.

0.05(28 - d) + 0.10d =  2.35   <=distribute this

0.05(28 - d) + 0.10d =  2.35

1.4 - 0.05d + 0.10d = 2.35   <=combine like terms

1.4 + 0.05d = 2.35    <= begin to isolate d

0.05d = 2.35 - 1.4

0.05d = 0.95

d = 0.95/0.05

d = 19

Now that we know d=19, we can substitute it into any equation.

Choose the equation n + d = 28 because the numbers are easier.

n + d = 28

n + 19 = 28    <=isolate n

n = 28 - 19

n = 9

Since n=9 and d=19, Kay has 9 nickels and 19 dimes.

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My nickname - Lovely

Math problem: a light-blocking screen transmits 18% of the light and reflects back the rest. how much light is transmitted through 2 screens?

Answers

Step-by-step explanation:

Paolo's expression 3(x+2)+3

Final answer:

To find how much light is transmitted through two screens that each transmit 18% of the light, multiply 18% by itself (0.18 x 0.18), which results in 3.24% of the original light being transmitted through both screens.

To determine how much light is transmitted through two light-blocking screens, we need to calculate the percentage of light that makes it through both screens. The first screen transmits 18% of the light. This means that only 18% of the initial light intensity will pass through the first screen.

When the light that has passed through the first screen encounters the second screen, again only 18% of that light will be transmitted. To find the total amount of light transmitted through two screens, we multiply the transmission rates of each screen:

Transmitted light through two screens = 18% of initial light * 18% = (0.18) * (0.18)

To get the final percentage, we multiply those two percentages:

Final transmission percentage = 0.18 * 0.18 = 0.0324 or 3.24%

Therefore, only 3.24% of the initial light is transmitted through two screens.

HELP
Solve 3(x-2)<18

Answers

Answer:

x<8

Step-by-step explanation:

Open parenthesis first:

3x-6<18

Put all like terms on one side:

3x<18+6

3x<24

Simplify:

3x<24 -----> Divide both sides by 3 to cancel out the 3 in 3x.

x<8

~Stay golden~ :)

Answer: x<8

Step-by-step explanation:

3(x-2)<18

3x-6<18

+6 +6

3x<24

———-

3 3

x<8

Approximately 3.1 million deaths per year. How many per minute

Answers

Answer:

5.898

Step-by-step explanation:

There are 365 days in a year.

There are 24 hours in a day.

There are 60 minutes in an hour.

In a day, there are 60 minutes each hour x 24 hours = 1440 minutes

In a year, there are 1440 minutes per day x 365 days = 525600 minutes

3.1 million = 3,100,000

3,100,000 / 525600 = 5.898 (rounded from 5.89802130898)

Final answer:

To calculate deaths per minute from an annual total of 3.1 million, we divide the total by days in a year, then by hours in a day, and finally by minutes in an hour, resulting in approximately 6 deaths per minute.

Explanation:

To find out how many deaths occur per minute from an annual total of approximately 3.1 million, we use a step-by-step mathematical calculation.

We start by dividing the total annual deaths by the number of days in a year, and then further dividing by the number of hours in a day, and finally by the number of minutes in an hour.

First, divide the annual deaths by the number of days in a year: 3,100,000 ÷ 365 = 8,493.15.Next, divide this daily death figure by the number of hours in a day: 8,493.15 ÷ 24 = 353.88.Finally, divide by the number of minutes in an hour to find deaths per minute: 353.88 ÷ 60 = 5.90.

Therefore, on average, there are approximately 6 deaths per minute worldwide given an annual total of 3.1 million deaths.

the height of a triangle is 7 cm greater than the base. the area of the triangle is 147 square centimeters. find the length of the base and the height of the triangle​

Answers

Answer:

height is 21cm and the base is 14cm

Step-by-step explanation:

Take a look at the equation for the area of a triangle [tex]A = \frac{bh}{2}[/tex]

Write "height of a triangle is 7 cm greater than the base" as an equation:

h = b + 7

Substitute h and the area of the triangle, 147 into the equation for area.

[tex]A = \frac{bh}{2}[/tex]

[tex]147 = \frac{b(b+7)}{2}[/tex] distribute over brackets

[tex]147 = \frac{b²+7b)}{2}[/tex]  get rid of fractions

[tex]147*2 = b²+7b[/tex]

[tex]294 = b²+7b[/tex]

Rearrange to standard for for quadratic equations

0 = b²+7b - 294

standard form is 0 = ax² + bx + c

In this base, the x variable is replaced by "b".

Use the quadratic formula to solve for b. Substitute the other three values.

[tex]x = \frac{-b ±\sqrt{b^{2}-4ac} }{2a}[/tex]

[tex]x = \frac{-(7) ±\sqrt{7^{2}-4(1)(-294)} }{2(1)}[/tex] Simplify

[tex]x = \frac{-7 ±\sqrt{1225} }{2}[/tex]

[tex]x = \frac{-7 ±35 }{2}[/tex]

Split the equation at ±

[tex]x = \frac{-7 +35 }{2}[/tex]

[tex]x = \frac{28}{2}[/tex]

[tex]x = 14[/tex]  <=base

[tex]x = \frac{-7 -35 }{2}[/tex]

[tex]x = \frac{-42}{2}[/tex]

[tex]x = -21[/tex]  <=We know this number is not possible, so its inadmissible.

The base is 14 cm.

Substitute base = 14 in h = b + 7

h = b + 7

h = 14 + 7

h = 21

The height is 21cm.

Therefore, the height is 21cm and the base is 14cm.

how many pencils measure 6 inches​

Answers

Answer:

Plz show the picture that goes long with the question!

Step-by-step explanation:

Andrea earns $32.25 a day After 9 days about how much will she have earned?

Answers

Answer:

$290.25

Step-by-step explanation:

32.25 x 9 = 290.25

Answer:

$290.25

Step-by-step explanation:

You just need to multiply the money and the days together to get your answer

$32.26 times 9 days

Evaluate each expression for the given value. 5/6 for x = -8

Answers

Answer:

x= -9.3

Step-by-step explanation:

assuming i have to calculate x from the given equation that is

[tex]\frac{5}{6} of x= -8[/tex]

⇒[tex]5x= -48[/tex]

⇒x= -48/5= -9.3

therefore x= -9.3

What’s 39,204 divided by 54

Answers

Answer:

726

Step-by-step explanation:

39204/54=726

The interior angles of a pentagon are x,x,2x, and 2x. What is the measure of the larger angles

Answers

Answer:

The measure of larger angle is 180°

Step-by-step explanation:

Given as :

For the pentagon

The measure of interior angles are

∠A = x ,

∠B = x ,

∠C = 2 x ,

∠D = 2 x ,

∠E = 3 x

We know, The sum of measure of all interior angles of pentagon = 540°

So, x + x + 2 x + 2 x + 3 x =   540°

or, 9 x =  540°

∴  x = [tex]\frac{540}{9}[/tex]

I.e x = 60°

So, The measure of angles are

∠A =  60°  ,

∠B =  60° ,

∠C = 2 ×  60° = 120° ,

∠D = 2 ×  60° = 120°,

∠E = 3  ×  60° = 180°

So, the measure of larger angle is 180°

Hence The measure of larger angle is 180° Answer

PLEASE HELP ME ITS ALREADY LATE AND ITS BRINGING MY GRADE WAY DOWN PLEASE HELP ME PLEASE!!!!
The following graph is of an exponential function of the form y=a*bx.
What values of a and b would make this equation work?
a=
b=

Answers

Answer:

I think a=15 and b=9

Step-by-step explanation:

I think that's it could be wrong

there we go ;)

Andrew’s math teacher entered the seventh-grade students in a math competition. There was an enrollment fee of $30 and also an $11 charge for each packet of 10 tests. The total cost was $151. How many tests were purchased?

Answers

Answer:

11 Test Packets

Step-by-step explanation:

151-30=121/11=11

Final answer:

The teacher purchased 11 packets of tests for the math competition.

Explanation:

The question is about calculating the number of test packets Andrew's teacher purchased for the math competition. We know that there was a basic enrollment fee of $30, and each packet of 10 tests cost an additional $11. The total cost was $151. To find out how many test packets the teacher purchased, the first step is to subtract the enrollment fee from the total amount spent. Therefore, $151 - $30 = $121 was spent on test packets.

Then, we divide this amount by the cost of each test packet. So $121/$11 gives us 11. Hence, the teacher purchased 11 packets of tests for Andrew's math competition.

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A 30m high pole was standing at a point of the length side of a rectangle garden. If the angles of elevation of that pole form end points of that length are found 60 degree and 30 degree,find the length of that garden.​

Answers

Answer:

Length of the garden = 69.28 meters.

Step-by-step explanation:

See the attached diagram.

Let CD is the pole with a height of 30 m and the elevation of the top of the pole from the endpoints of the length A and B are 60° and 30° respectively.

So, ∠ DAC = 60° and ∠ DBC = 30°  

Now, Δ ACD is a right triangle and [tex]\tan 60 = \frac{CD}{AC}[/tex]

⇒ [tex]AC = \frac{CD}{\tan 60} = \frac{30}{\tan 60} = 17.32[/tex] meters.

Now, from Δ BCD which is a right triangle, [tex]\tan 30 = \frac{CD}{CB}[/tex]

⇒ [tex]CB = \frac{30}{\tan 30} = 51.96[/tex] meters.

Hence, AB = AC + CB = 17.32 + 51.96 = 69.28 meters. (Answer)

Answer:

The length of the rectangle garden is 20 [tex]\sqrt{3}[/tex] i.e 34.64 meters .

Step-by-step explanation:

Given as :

The height of the pole = H = 30 m

The two angles of elevation as 60° and 30°

Let The length of the rectangle garden = L m

Now, From figure

The measure from pole ground to first elevation 60° = x m

The measure from pole ground to second elevation 30° = (L + x ) m

Now, from triangle BOC

Tan Ф = [tex]\dfrac{\textrm perpendicular}{\textrm base}[/tex]

I.e Tan 60° = [tex]\dfrac{\textrm 30}{\textrm x}[/tex]

Or, [tex]\sqrt{3}[/tex] = [tex]\dfrac{\textrm 30}{\textrm x}[/tex]

or, x = [tex]\frac{30}{\sqrt{3} }[/tex]

I.e x = 10[tex]\sqrt{3}[/tex] meter      ...1

Again From triangle BAC

Tan Ф = [tex]\dfrac{\textrm perpendicular}{\textrm base}[/tex]

I.e Tan 30° = [tex]\dfrac{\textrm 30}{\textrm L + x}[/tex]

Or, [tex]\frac{1}{\sqrt{3} }[/tex] = [tex]\dfrac{\textrm 30}{\textrm L + x}[/tex]

Or, L + x = 30 × [tex]\sqrt{3}[/tex]   ....2

Put the value of x from  1 into 2

i.e L + 10[tex]\sqrt{3}[/tex] meter   = 30 × [tex]\sqrt{3}[/tex]

or, L = 30 [tex]\sqrt{3}[/tex] - 10 [tex]\sqrt{3}[/tex]  

Or, L = 20 [tex]\sqrt{3}[/tex] = 34.64 meters

I.e length of garden is 20 [tex]\sqrt{3}[/tex]

Hence The length of the rectangle garden is 20 [tex]\sqrt{3}[/tex] i.e 34.64 meters . answer

Fred decides that he would rather buy the new refrigerator. How much more will he pay for the new refrigerator than he would for the old model? Consider repairs as part of the cost of the old model.




A. $51.00


B. $108.05


C. $65.00


D. $415.00

Answers

B. 108.05 because $200 for the old fridge with the added on $350 is $550 the to find the price of the new fridge you would take your percent and turn it into a decimal(divide by 100) and multiply the decimal by the original total $615 and you will get $43.05 you add $615 and $43.05 and you will get $658.05 minus that by the old fridges total and you will get $658.05-$550 which gives you $108.05

I NEED HELP FAST
what is y-2=5(x+7) in standard form?

Answers

Answer: y = 5x + 33

Step-by-step explanation:

y-2=5(x+7)

y-2 = 5*x + 35

y = 5x + 33

Answer: y = 5x + 33

Explanation:

First you must write the equation as you see it:

y-2=5(x+7)

Then do the math in side of the parentheses:

y-2 = 5*x + 35

Once you do the rest of the math, you shall have you answer:

y = 5x + 33

Hope this helps! :)

What is the equation of the function shown in the graph, given the equation of the parent function is f(x)=1.5x ?




g(x)=1.5x−2

g(x)=1.5x−3

g(x)=1.5x−4

g(x)=1.5x+2
An exponential function on a coordinate plane with x and y axis in increments of 1 increasing from negative 5 to 5. The function increases from left to right beginning infinitely close in the third quadrant to a dashed horizontal line at y equals negative 4. The function increases through begin ordered pair 0 comma negative 3 end ordered pair and continues to increase through begin ordered pair 2 comma negative 1.75 end ordered pair. The function continues to increase through the second quadrant and out of the first quadrant.

Answers

Answer:

[tex]g(x)=1.5^{x}-4[/tex]

Step-by-step explanation:

Given:

The parent function is given as:

[tex]f(x)=1.5^{x}[/tex]

Let us consider a point on [tex]f(x)\ and\ g(x)[/tex] and compare their transformation.

The easiest point to consider is the y-intercept. At the y-intercept, the value of 'x' is 0.

The y-intercept of the function [tex]f(x)[/tex] is for [tex]x=0[/tex]. So,

[tex]f(0)=1.5^{0}=1[/tex]

The y-intercept of [tex]f(x)[/tex] is the point (0, 1).

Now, as per question, the transformed function [tex]g(x)[/tex] passes through the point (0, -3). Therefore,

The function [tex]g(x)[/tex] in the graph has the y-intercept equal to -3  as at y-intercept, the 'x' value is 0.

Therefore, the y-intercept of [tex]g(x)[/tex] is the point (0,-3).

Now, consider the transformation for the points (0, 1) and (0, -3).

[tex](0,1)\rightarrow (0,-3)[/tex]

Here, the 'x' value remains the same but the 'y' values decreases by 4 units. So, the rule will be:

[tex](x,y)\rightarrow (x,y-4)[/tex]

As per translation rules, if C units is added to 'y' value, then the graph moves up if 'C' is positive and moves down if 'C' is negative.

Also, the equation is of the form: [tex]g(x)=f(x)+C[/tex]

Here, [tex]C=-4[/tex].

Therefore, the graph shifts down by 4 units.

The equation of the function [tex]g(x)[/tex] is given as:

[tex]g(x)=f(x)+C=1.5^{x}-4[/tex]

Answer:

D

Step-by-step explanation:

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