What is the inverse of f(x)=2^x

Answer:

[tex](a)\ Sum = x^3+8x^2-4x+9[/tex]

[tex](b)\ Sum =3x^3-7x^2+6x +16[/tex]

[tex](c)\ Sum = x^3-x^2+10x+6[/tex]

[tex](d)\ Sum = 3x^4 -3x^3+ 6x^2-x+2[/tex]

Step-by-step explanation:

Required

Sum of the polynomials

[tex](a)\ x^3+5x^2+2, 3x^2-4x+7[/tex]

[tex]Sum = x^3+5x^2+2+3x^2-4x+7[/tex]

Collect like terms

[tex]Sum = x^3+5x^2+3x^2-4x+2+7[/tex]

[tex]Sum = x^3+8x^2-4x+9[/tex]

[tex](b)\ 2x + 5x^3-2x^2+7, 9+4x-5x^2-2x^3[/tex]

[tex]Sum =2x + 5x^3-2x^2+7+ 9+4x-5x^2-2x^3[/tex]

Collect like terms

[tex]Sum =5x^3-2x^3-2x^2-5x^2+4x+2x +7+ 9[/tex]

[tex]Sum =3x^3-7x^2+6x +16[/tex]

[tex](c)\ 5x^3+2x^2+4, 2x^2+7x-5, 7-5x^2 +3x-4x^3[/tex]

[tex]Sum = 5x^3+2x^2+4+ 2x^2+7x-5+ 7-5x^2 +3x-4x^3[/tex]

Collect like terms

[tex]Sum = 5x^3-4x^3+2x^2+ 2x^2-5x^2+7x+3x-5+ 7 +4[/tex]

[tex]Sum = x^3-x^2+10x+6[/tex]

[tex](d)\ 2x^4-3x^2+4x^3-5, 9x^2-7x^3-2x^4, 7-x+3x^4[/tex]

[tex]Sum = 2x^4-3x^2+4x^3-5+ 9x^2-7x^3-2x^4+ 7-x+3x^4[/tex]

Collect like terms

[tex]Sum = 2x^4-2x^4+3x^4 +4x^3 -7x^3-3x^2+ 9x^2-x-5+ 7[/tex]

[tex]Sum = 3x^4 -3x^3+ 6x^2-x+2[/tex]

Answer:

Step-by-step explanation:

so when the height is zero, that's when the rocket hits the ground.  The equation will have two zeros,  but one would be for a negative time,  or before the rocket is launched.    so we only one the one after the rocket is launched.

use the quadratic formula to solve for  x  ( which is time)

-124 +- sqrt [ [tex]124^{2}[/tex] - 4*(-16)*(127) ] / 2 (-16)

-124 +- sqrt [15376 + 8128 ] / -32

-124 +- sqrt [23504 ] / -32

-124 +- 153.310 / -32

if we take the positive part it will become the negative time so skip that one try the negative part 1st

-124 - 153.310 / -32

-277.310 / -32

8.6659 seconds to hit the ground.    ( time of flight)  aka   TOF

8.67 seconds  ( rounded to nearest 100th)

Answer:

x = -2 ± 452i

Step-by-step explanation:

x² + 4x = 117

x² + 4x - 117 = 0

if you solve this quadratic by using the quadratic formula you get:

x = -2 ± 452i

452i is an imaginary number that equals [tex]\sqrt{-452}[/tex]

Answer:

the Answer is 2^5

Step-by-step explanation:

Answer:

2^5

Step-by-step explanation:

5^2 = 25

2^5 = 32

3^3 = 27

1^10 = 1

Hope that this helps!

Answer:

10,369.04

Step-by-step explanation:

Sorry if i'm wrong i got a little confused with this

Answer:

In mathematics, a linear equation is an equation that may be put in the form are the coefficients, which are often real numbers.

Step-by-step explanation:

Hope this helped Mark BRAINLIEST!!!!

Answer:

First look at the number of bricks alone.

Going from 50 bricks to 60 bricks is more work, thus it will require more people. The number of people would be the ratio of the 2. Since the number must be larger, you know the numerator must be the larger of the 2 numbers, so you get 60/50

Next look at the time alone.

Going from 30 minutes to 20 minutes is more work, thus it will require more people. The number of people would be the ratio of the 2. Since the number must be larger, you know the numerator must be the larger of the 2 numbers, so you get 30/20

Now you can just multiply everything.

= 5*60/50*30/20

= 5*6/5*3/2

= 90\10

= 9.

Answer:

x = 12

Step-by-step explanation:

4x - 5 = 2x + 19

First subtract the 2x from 4x.

2x - 5 = + 19

Then add the 5 to the 19.

2x = 24

Divide 24 by 2 in order to get x by itself.

x = 12

Answer:

[tex]Area = 13[/tex]

Step-by-step explanation:

Given

[tex]A = (4,0)[/tex] -- [tex]x1,y1[/tex]

[tex]B =(5,5)[/tex] -- [tex]x2,y2[/tex]

[tex]C =(0,6)[/tex] -- [tex]x3,y3[/tex]

Required

Area of ABC

This is calculated as:

[tex]Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|[/tex]

This gives:

[tex]Area = \frac{1}{2}|4 * 5 - 5 *0 +5*6 - 0*5 + 0*0 - 4*6|[/tex]

Using a calculator, we have:

[tex]Area = \frac{1}{2}|26|[/tex]

Remove absolute bracket

[tex]Area = \frac{1}{2}*26[/tex]

[tex]Area = 13[/tex]

Answer:

y +x and the answer will be xy

Answer:

Jack=9, John= 19

Step-by-step explanation:

28/3=9 1/3, counting as nine, as thats what got the right answer in my homework.

9 *2) +1= 19, no idea why the plus one, thats just what showed up

J1=19

J2=9

Answer:

1

Step-by-step explanation:

I had brainliest but some kid reported me soooooo

Answer:

m - mn

Step-by-step explanation:

The two numbers are denoted by m and n respectively.

From the question, we can deduce the following points;

- the difference between m and another variable (mn).

- product or multiplication of m and n.

Translating the word problem into an algebraic expression, we have;

m - (m*n)

m - mn

Answer: x > 20

Step-by-step explanation:

9 - x < - 11

In this scenario, we've to collect like terms in order to.wolve for x. This will be:

9 - x < - 11

- x < - 11 - 9

- x < - 20

Divide both side by -1

-x/-1 < -20/-1

When we divide by a coefficient with minus sign, the sign changes too from less than to greater than

-x/-1 < -20/-1

x > 20

Answer:

135.48

Step-by-step explanation:

g00gl3

Answer:

135.5

Step-by-step explanation:

0.62 = 62% and 135.5 times 0.62 is 84.01

Answer:

Volume = surface area

[tex]\frac{4}{3}\pi r^3 = 4\pi r^2\\\\\frac{r}{3} = 1\\r = 3[/tex]

option B

Answer: circle

Step-by-step explanation:

The shape of the cross-section is formed when a cylinder intersects the plane is a circle option (A) is correct.

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

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

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

As we know, the circle is a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

As we can see in the picture the cylinder is cut by a plane that is parallel to the base of the cylinder.

The base of the cylinder is a circle.

the shape of the cross-section is formed when a cylinder intersects a

the plane is a circle.

Thus, the shape of the cross-section is formed when a cylinder intersects the plane is a circle option (A) is correct.

Learn more about the cylinder here:

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Answer: t>3

Step-by-step explanation:

PLATO

Answer:

t > 5

Step-by-step explanation:

Answer:

1320m

hope this helps

have a good day :)

have a good day :)

Step-by-step explanation:

Answer:

46 miles per hour

Step-by-step explanation:

ِAn hour has 60 minutes. In 60 minutes, there is four 15 minutes (4*15 = 60).

So, if it travelled 11.5 miles in 15 minutes, in an hour, it travelled 11.5 * 4 = 46 miles per hour.

The miles per hour he was travelling is 46 miles.

The first step is determine the average speed. Average speed is the total distance travelled per time.

Average speed = total distance / total time

11.5 / 15 = 0.766667 miles / per minutes

Miles travelled = average speed x time

Miles travelled =  0.766667 x 60 = 46 minutes

To learn more about average speed, please check: https://brainly.com/question/21734785

Ans - A, C, E

Hope it helps You

Please mark as the brainliest

Thank You

The correct points to the equation. are (0,6)  , C. (2,3) , E. (4,0) a

An equation, statement of equality between two expressions consisting of variables and/or numbers.

3x + 2y = 12

To determine the points that are solutions to this equation

we have to apply substitution method

1. 3 * (0) + 2*6 = 12  Correct

2. 3 + 12 = 12  Incorrect

3. 6 + 6 = 12 Correct

4. 9+4 = 12 Incorrect

5. 12 + 0 = 12 Correct

6. 12 + 2 = 12 Incorrect

7. 12 + 12 = 12 Incorrect

Therefore A. (0,6)  , C. (2,3) , E. (4,0) are the correct points to the equation.

To know more about equation

https://brainly.com/question/10413253

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Answer:

Part a:

"The unit has 7 or more rooms" in terms of X is given by the unit which has 7, 8, 9 or 10 rooms.

P{ X≥7}= 0.424

Part b:

The event {X > 7} in words is that the unit has more  than 7 rooms. .

Part C:

A continuous random variable  is given by intervals of numbers

A discrete random variable is the variable that is obtained by counting.

Step-by-step explanation:

Part a:

"The unit has 7 or more rooms" in terms of X is given by

{ X≥7} = {x=7} + {x=8} + {x=9} + {x=10}

the unit which has 7, 8, 9 or 10 rooms.

The probability of this event is given by

P{ X≥7} =P {x=7} + P {x=8} + P {x=9} + P {x=10}

P{ X≥7} = 0.198 + 0.149+ 0.053 + 0.024

P{ X≥7}= 0.424

Part b:

The event {X > 7} in words is that the unit has more  than 7 rooms. This does not include the unit having 7 rooms.

Part C:

A continuous random variable takes all the values in the given interval as in part a.The random variable X takes the values between 7 and 10 inclusive of 7.

A discrete random variable is the variable that is obtained by counting as in part b. The variable X takes the values of the units with 8 , 9 or 10 rooms.

Answer: 7.5 gallons

Step-by-step explanation:

1. You divide 15 by two

Answer:

Solution given:

4x-16+2x+16=180{linear pair are supplementary]

6x=180

x=180/6

x=30

is a required answer.

Answer:

[tex]x(3x - 1) \\ = {3x}^{2} - x[/tex]

Answer:

[tex]x(3x-1) = {3x}^{2} - x[/tex]

Answer:

C) The 90% interval was constructed using a method that results in intervals which capture the true difference in the proportion of seniors who are enrolled in AP classes and the proportion of juniors who are enrolled in AP classes 90% of the time.

Step-by-step explanation:

x% confidence interval -> Options c, d and e:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

This means that options d and e are correct, while option c is not true.

Option a -> Critical Value:

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

This means that option A is true.

Estimate of the standard error:

Before building the estimate, we should take a look at the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

26 of 75 seniors:

This means that:

[tex]p_s = \frac{26}{75} = 0.3467, s_s = \sqrt{\frac{0.3467*0.6533}{75}} = 0.055[/tex]

15 of 70 juniors:

This means that:

[tex]p_j = \frac{15}{70} = 0.2143, s_j = \sqrt{\frac{0.2143*0.7857}{70}} = 0.049[/tex]

Estimate of the standard error:

[tex]s = \sqrt{s_s^2 + s_j^2} = \sqrt{0.055^2 + 0.049^2} = 0.074[/tex]

Thus option b is correct.

9514 1404 393

Answer:

  (x, y) = (4, 5)

Step-by-step explanation:

We notice that the coefficients of y are opposites, so we can eliminate y by adding the two equations together.

  (4x -3y) +(x +3y) = (1) +(19)

  5x = 20 . . . . . . simplify

  x = 4 . . . . . . . . .divide by 5

Substituting into the second equation gives ...

  4 +3y = 19

  3y = 15 . . . . . . . subtract 4

  y = 5 . . . . . . . . . divide by 3

The solution is (x, y) = (4, 5).

Answer:

x-7=16

Step-by-step explanation:

if x=23 substitute it in the equation

so; 23-7=?

23-7=16

your answer would be 16

Answer:

my dad never returned home

Answer:

[tex] = (3209) - (1893) \\ = 1.32 \times {10}^{3} \\ = 1320[/tex]

[tex] \small{ \star{ \underline{ \blue{becker}}}}[/tex]

Answer:

1320

Step-by-step explanation:

round off

3209 ≈ 3210

1893 ≈ 1890

estimated difference = 3210 - 1890 = 1320