g(x)=7x-2/5x+1
Find g^-1(x), where g^-1 is the inverse of g.
Also state the domain and range of g^-1 in interval notation.

Answer:

[tex]p=-7[/tex]

Step-by-step explanation:

This is how you find it

1) Substitute the p into the equation to get 7(-7)-7=-56. Then you get -49-7=-56. This is true  

Hope this helps! :)

Answer:

p = - 7

Step-by-step explanation:

7p - 7 = - 56

7p - 7 + 7 = - 56 + 7

7p = - 49

7p ÷ 7 = - 49 ÷ 7

p = - 7

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

See this attachment

[tex]\boxed{\boxed{\sf{x=-2~and~y=12 }}}[/tex]

Answer:

Step-by-step explanation:

We are looking for P(58 < x < 64). We need to find the percentage to the left of the z-scores for each of these numbers. To find the z scores, use the formula:

[tex]z=\frac{x_i-\bar{x}}{\sigma}[/tex]

[tex]z=\frac{58-62}{4}[/tex] which gives us a z-score of -1. The percentage of numbers to the left of a z-score of -1 is .1586553

Now for the other z-score:

[tex]z=\frac{64-64}{4}[/tex] which gives us a z-score of .5. The percentage of numbers to the left of a z-score of .5 is .69146246

The lower percentage subtracted from the higher gives the area in question:

.69146246 - .1586553 = .53280716, or as a percentage, 53.3%, choice A.

hope this helps! feel free to clarify

Answer:

24

Step-by-step explanation:

cos 60 = adjacent / hypotenuse

1 / 2 = 12 / x

x = 2 ( 12 )

x = 24

Answer:

324°

Step-by-step explanation:

Totak angles in a 7 sided polygon = 900°

Side A = 3

Side B = 1

Side C = 4

Side D = 1

Side E = 5

Side F = 9

Side G = 2

Total = 25

The largest angle has the largest ratio which is side F

Angle in side F = Ratio of side F / total ratio × 900°

= 9/25 × 900°

= 0.36 × 900°

= 324°

The largest angle = 324°

The smallest angles are angles with the lowest ratio which are side B and side D

Angle in side B = Ratio of side F / total ratio × 900°

= 1/25 × 900°

= 0.04 × 900°

= 36°

The smallest angles are angles 36°

Answer:

D. distance

Step-by-step explanation:

really ? given the choices you needed help with that ?

only D makes sense. the rest is completely ridiculous and has nothing to do with driving from the house to the library.

V=(1/3)(B)(h)

multiply both sides by 3

divide both sides by B

Step-by-step explanation:

D) (A³/2)³ = A⁹/8

A³ whole to the power 3 is A⁹

2³ is 8

Given:

The different recursive formulae.

To find:

The explicit formulae for the given recursive formulae.

Solution:

The recursive formula of an arithmetic sequence is [tex]f(n)=f(n-1)+d, f(1)=a,n\geq 2[/tex] and the explicit formula is [tex]f(n)=a+(n-1)d[/tex], where a is the first term and d is the common difference.

The recursive formula of a geometric sequence is [tex]f(n)=rf(n-1), f(1)=a,n\geq 2[/tex] and the explicit formula is [tex]f(n)=ar^{n-1}[/tex], where a is the first term and r is the common ratio.

The first recursive formula is:

[tex]f(1)=5[/tex]

[tex]f(n)=f(n-1)+5[/tex] for [tex]n\geq 2[/tex].

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 5. So, the explicit formula for this recursive formula is:

[tex]f(n)=5+(n-1)(5)[/tex]

[tex]f(n)=5+5(n-1)[/tex]

Therefore, the correct option is A, i.e., [tex]f(n)=5+5(n-1)[/tex].

The second recursive formula is:

[tex]f(1)=5[/tex]

[tex]f(n)=3f(n-1)[/tex] for [tex]n\geq 2[/tex].

It is the recursive formula of a geometric sequence with first term 5 and common ratio 3. So, the explicit formula for this recursive formula is:

[tex]f(n)=5(3)^{n-1}[/tex]

Therefore, the correct option is F, i.e., [tex]f(n)=5(3)^{n-1}[/tex].

The third recursive formula is:

[tex]f(1)=5[/tex]

[tex]f(n)=f(n-1)+3[/tex] for [tex]n\geq 2[/tex].

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 3. So, the explicit formula for this recursive formula is:

[tex]f(n)=5+(n-1)(3)[/tex]

[tex]f(n)=5+3(n-1)[/tex]

Therefore, the correct option is D, i.e., [tex]f(n)=5+3(n-1)[/tex].

Answer:

From Edmentum :)

Answer:

y=3x-5

Step-by-step explanation:

-2=3(1) + b

-2=3+b

-5=b

y=3x-5

Answer:

Moscow

Step-by-step explanation:

In negatives the greater number is less. So -1 is the greatest, and thus, Moscow is the answer.

Moscow with a temperature of -1°C is warmer than Moosonee (-1.5°C), Cold Lake (-4.5°C), and Anchorage (-9.5°C).

The temperatures provided for the cities are as follows:

Moosonee: -1.5°C

Cold Lake: -4.5°C

Anchorage: -9.5°C

Moscow: -1°C

To determine which city is warmer, we compare the temperatures.

The higher the temperature, the warmer the city.

Moscow has the highest temperature of -1°C.

Therefore, Moscow is the warmest city compared to Moosonee, Cold Lake, and Anchorage, as it has a temperature that is closer to 0°C (warmer) compared to the other cities.

To learn more on Number system click:

https://brainly.com/question/1763119

#SPJ4

Subtract to find the amount of the increase then divide the amount of increase by the original amount:

2.46 - 2.22 = 0.24

0.24/2.22 = 0.108

Multiply by 100 to get percent:

0.108 x 100 = 10.8%

Rounded to nearest whole number = 11%

Answer:

If you want to know what the probability is to get at least one Heads, then that is the same as the probability of all the events (100%, or 1) minus the probability of getting all Tails.

There are 100 coins. 99 are fair, 1 is biased with both sides as heads. With a fair coin, the probability of three heads is 0.53=1/8. The probability of picking the biased coin: P(biased coin)=1/100.

Step-by-step explanation:

QUESTION:- EVALUATE THE EXPRESSION

EXPRESSION:-

[tex]{( \sqrt[6]{27 {a}^{3} {b}^{4} } )}^{2} [/tex]

[tex]{( \sqrt[6]{27 {a}^{3} {b}^{4} } )}^{2} \\ {( {27 {a}^{3} {b}^{4} } )}^{ \frac{2}{6} } \\ {({27 {a}^{3} {b}^{4} } )}^{ \frac{ \cancel{2}}{ \cancel6 {}^{ \: 3} } } \\ {(27)}^{ \frac{1}{3} } {a}^{ \frac{3}{3} } {b}^{ \frac{4}{3} } \\{(3)}^{ \frac{ \cancel3}{ \cancel3} } {a}^{ \frac{ \cancel3}{ \cancel3} } {b}^{\frac{3 + 1}{3} } \\3a {b}^{ \frac{ \cancel3}{ \cancel3} } {b}^{ \frac{1}{3} } [/tex] [tex] \\ ANSWER->3ab \sqrt[3]{b} \: \: \: \: \: or \: \: 3a {b}^{ \frac{4}{3} } [/tex]

Answer:

1249+592=1843, rounding that you get B, 1,800

Answer:

2<x<3

Step-by-step explanation:

4x-4<8 AND 9x+5>23

Solve the first inequality

4x-4<8

Add 4 to each side

4x-4+4 <8+4

4x<12

Divide by 4

4x/4 <12/4

x <3

Solve the second inequality

9x+5>23

Subtract 5 from each side

9x+5-5>23-5

9x >18

Divide by 9

9x/9>18/9

x>2

Put together

x<3 and x>2

2<x<3

Answer:

4

Step-by-step explanation:

2/x = 5/10

Using cross products

2*10 = 5x

20 =5x

Divide each side by 5

20/5 = 5x/5

4=x

The unknown number is 4

Answer:

? = 4

Step-by-step explanation:

I am using x for ?

[tex]\frac{2}{x}[/tex] = [tex]\frac{5}{10}[/tex] ( cross- multiply )

5x = 20 ( divide both sides by 5 ) x = 4

The missing number is 4

A) 4.5×10¹¹ B) 3.5×1000

Hope it helped you

hmmm...                         . . . . . . . . . . . .

Answer:

Hello Bro How Are You....?

Answer:

B. x= 3y+2

Step-by-step explanation:

y=⅓x-⅔

⅔+y=⅓x

(⅔÷⅓)+(y÷⅓)=⅓x÷⅓

2+3y=x

Answer:

there is 77% more chinese students.

Step-by-step explanation:

subtract the 23% of malay students from the 100% of the students in  the school.

100-23=77

Answer:

A Juan le quedan 45 empanadas.

Step-by-step explanation:

Dado que Juan vende 180 empanadas al día, y por la mañana vende las dos terceras partes y por la tarde la cuarta parte de lo que queda, para determinar cuántas empanadas le queda por vender en la noche se debe realizar el siguiente cálculo:

180 x 2 / 3 = 120

180 - 120 = 60

60 x 1/4 = 15

60 - 15 = 45

Por lo tanto, a Juan le quedan 45 empanadas.

Answer:

(x+3)*3=3x+9

Step-by-step:

Step-by-step explanation:

First step:

Distance = 300km

Speed = 60km/hr

We know,

Using Speed = Distance ÷ Time

Time = Distance ÷ Speed

we have Total Time = 300÷60

Total Time = 5hr

Again,

Distance = 200km. (Time = 5hr,

Speed =? Distance = 200)

Speed = Distance÷ Time

= 200÷5

= 40km/hr

Answers:

Note: 3/4 = 0.75

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

Explanation:

The first thing we need to do is solve that given equation for y

4x+3y = 3

3y = 3-4x

3y = -4x+3

y = (-4x+3)/3

y = (-4x)/3 + 3/3

y = (-4/3)x + 1

This last equation is in slope intercept form, y = mx+b, where,

These m and b values are not the final answer unfortunately, as we have yet to determine anything about the perpendicular line. However, it helps us build toward the answer.

We'll focus on the slope.

Apply the negative reciprocal to -4/3 to get 3/4. We flip the fraction and the sign from negative to positive.

This means the perpendicular slope is 3/4 and this value goes in the first box.

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

From here, we'll use the fact that the perpendicular line goes through the point (x,y) = (5,3)

i.e. we have x = 5 and y = 3 pair up together.

Use that perpendicular slope we found earlier to say,

y = mx+b

3 = (3/4)*5 + b

3 = 15/4 + b

3 - 15/4 = b

12/4 - 15/4 = b

(12-15)/4 = b

-3/4 = b

b = -3/4 is the y intercept of the perpendicular line

Answer:

y = 3/4 x -3

Step-by-step explanation:

4 x + 3y = 3

3y = -4x + 3

y = -4/3x + 1

~~~~~~~~~~~~~~~~~~~~~~~

y = 3/4 x + b

3 = 3/4(5) + b

12 = 15 + b

B = -3

Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, tangent.

Remember: SOH-CAH-TOA

From the angle, we know the opposite side and want to figure out the adjacent side. Therefore, we should use the tangent function.

tan(35) = 6/RS

RS = 6 / tan(35)

RS = 8.6

Hope this helps!

Answer:

[tex]\boxed {\boxed {\sf 384 \ ft^3}}[/tex]

Step-by-step explanation:

The volume is the space an object occupies. The volume formula for a cylinder is provided and it is:

[tex]V= \pi r^2 h[/tex]

Where:

The radius is the distance from the center of the circle to the edge, and it is 4 feet. The height is 8 feet. We are told to use 3 for pi.

Substitute the values into the formula.

[tex]V= (3)(4 \ ft)^2 (8 \ ft)[/tex]

Solve the exponent.

[tex]V= (3)(16 \ ft^2)(8 \ ft)[/tex]

Multiply the three numbers together.

[tex]V= 48 \ ft^2 (8 \ ft)[/tex]

[tex]V= 384 \ ft^3[/tex]

The volume of the cylinder is approximately 384 cubic feet.

Answer:

the answer will be 44 I think I hoped I helped if not sorry.

Step-by-step explanation: