9.
Let f(x) = 2x + 2. Solve f−1(x) when x = 4. (1 point)

Answer: Answer below.

Step-by-step explanation: Attached is my work. Hope it is helpful!

Answer:

21.5

Step-by-step explanation:

break the shape down to make two shapes: a triangle and rectangle.
triangle = A=bxh/2

3x5=15/2=7.5

Rectangle = A=bxh

2x7=14

7.5+14= 21.5

Hope this helps :)

Answer:

21.5

Step-by-step explanation:

(all steps provided in image attached)

The y-intercept of the line is (0 -6). The given function has no vertical and horizontal asymptotes

A linear equation is an equation that has a leading degree of 1. Given the equation

g(x) = 4x - 6

The y-intercept occurs at a point where x = 0

g(0) = 4(0) - 6

g(0) = -6

Hence the y-intercept of the line is (0 -6)

The given function has no vertical and horizontal asymptotes

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The amount paid by sam will be 11526.75k for the meal.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that:-

Sam pays 512 .75k less than the amount rob pays for his meal .ridwan pays three times the amount rob pays for his meal. if the total amount paid by them is 47,645.25k.

We will form an expression from the data given above in the question.

Amount paid by Sam  = ( r - 512.75 )

Amount paid by rob = r

( r - 512.75 ) + 3r = 47645.25

( r + 3r ) = 47645.25 + 512.75

4r = 48158

r = 12039.5

The amount paid by sam will be calculated as:-

S = r - 512.75

S = 12039.5 - 512.75

S = 11526.75

Therefore the amount paid by sam will be 11526.75k for the meal.

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A will have a value of 2. The value of A is found by the substitutional equation system.

A set of two linear equations with two variables is called a system of linear equations. They create a system of linear equations when evaluated collectively.

The given equation in the problem is;

Equation 1: [tex]\rm \frac{3}{8} + \frac{1}{3} y= \frac{17}{24}[/tex]

Equation 2: [tex]x+7y=8[/tex]

Rearrange equation 2 as;

x=8-7y

Substitute the value of x;

[tex]\rm \frac{3}{8} + \frac{1}{3} y= \frac{17}{24} \\\\ \frac{3}{8}(8-7y)+\frac{1}{3}y=\frac{17}{24} \\\\ \frac{-21}{8} y+\frac{1}{3} = \frac{17}{24}-3 \\\\ \frac{-63y+8y}{24}=\frac{17-72}{24}\\\\ \frac{-55 \ y}{24} = - \frac{55}{24}\\\\ y= 1[/tex]

Substitute the value of y in equation 2 as;

x+7y=8

x+7(1)+8

x=8-7

x=1

The system of equations by substitution obtained the value of A is;

x + y = A

1+1=A

A=2

Hence the value of A will be 2.

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Solution: x=2 ✅

[tex]\searrow[/tex]

⚜Detailed explanation: ⚜

In this problem we need to solve for x, the unknown.

First, note that the terms 2x and 5x have an x in them, so why not add them and make life easier?

[tex]---\mapsto\boldsymbol{2x+5x=14}\\\\---\mapsto\boldsymbol{7x=14}[/tex]

We're getting closer! Now we know that if we multiply 7 times the unknown, we'll get 14. So let's divide both sides by 7! Then we will have the value of the unknown.

[tex]---\mapsto\boldsymbol{x=2}[/tex] is what we obtain upon dividing

Superb, it's ez as winking!

_________________________________________

Voila! There's our solution!

Hope I helped! Best wishes!

Reach far. Aim high. Dream big.

____________________________________________

Answer:

10x^3 - 2x^2 -7

Step-by-step explanation:

To subtract polynomials, you want to subtract the biggest exponent from the first polynomial to the second

so 6x^3 + 4x^3 and that would be 10x^3

then -3x^2 + x^2 and the negative is larger so it would be -2x^2

and finally -2 + -5 and that is -7

hope this helps! :)

Answer:

9:6:10

Step-by-step explanation:

Copper: Zinc: Tin= C:Z:T

C:Z:T

3:2

  3:5

3x3=9

3x2=6

5x2=10

so, Copper:Zinc: Tin= 9:6:10

The probability that exactly 5 out of the first 10 customers buy a magazine is 0.00126.

Given suspicion of 9.7% that buy a magazine is correct.

We have to find the probability that exactly 5 out of the first 10 customers buy a magazine. Probability is the chance of happening an event among all the events possible.

The binomial distribution is the probability of exactly x successes on n repeated trials and X can only have two outcomes.

[tex]P(X=x)=C_{n,x}p^{x} (1-p)^{n-x}[/tex]

In which [tex]C_{n,x}=n!/x!(n-x)![/tex]

And P is the probability of happening of X.

In the question 9.7% of his customers buy a magazine.

So the value of P=0.097

This can be calculated by :

P(X=5) when n=13

[tex]P(X=x)=C_{n,x} p^{x} (1-p)^{n-x}[/tex]

[tex]P(X=5)=C_{10,5} (0.097)^{5} (1-0.097)^{10-5}[/tex]

=[tex]P(X=5)=C_{10,5} (0.097)^{5} (0.903)^{5}[/tex]

[tex]=10!/5!5!*0.0000085*0.600397[/tex]

=252*0.00000510

=0.001286

Hence the probability that exactly 5 out of the first 10 customers buy a magazine is 0.001286.

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Answer:

Step-by-step explanation:

Write 5.54 million in ordinary form

5.54 * [tex]10^{6}[/tex] =

5540000

or

5.54 * 1000000 =

5540000

Using the Poisson distribution, it is found that:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

In this problem, the mean is of [tex]\mu = 16[/tex], hence the probability of 15 patients in a day is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 15) = \frac{e^{-16}16^{15}}{(15)!} = 0.0992[/tex]

Hence the mean number of days in a month (30 days) with 15 patients visiting is given by:

M = 30 x 0.0992 = 2.976.

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The inverse of the function will be [tex]f(x) ^{-1}= 2x - 12\\[/tex]. option C is correct.

Suppose that the given function is

[tex]f:X\rightarrow Y[/tex]

Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist),

then, the inverse of the considered function is

[tex]f^{-1}: Y \rightarrow X[/tex]

The function is given as

[tex]f(x) = \dfrac{1}{2} x - 6\\\\[/tex]

The inverse of the function will be

[tex]f(x) ^{-1}= 2x - 12\\[/tex]

Therefore, option C is correct.

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Answer:

D

Step-by-step explanation:

Because.............

Answer:

A

Step-by-step explanation:

64

Answer:

d

By the alternate interior angles theorem,

By the reflexive property, AB is congruent to itself.

Thus, the triangles will be congruent by ASA.

The length of arc for the options 1,2,3 and 4 willl be 60.39,61.23,10.4 and 7.851 respectively.

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

As a result, when measuring angles in radians,

The length of the arc is:

[tex]\rm l = r \theta[/tex]

Unit conversions;

1 π = 180°

1° = 180/π

315°= 5.49 rad

270° = 4.71 rad

60° = 1.04 rad

150°=2.617 rad

The measure of the length of arc for the given radius;

[tex]\rm L_1 = R_1 \theta \\\\ L_1 = 1 \times 5.49 \\\\\ L_1 = 60.39 \\\\ L_2 = 13 \times 4.71 \\\\ L_2 = 61.23 \\\\ L_3 = 10 \times 1.04 \\\\ L_4 = 10.4 \\\\ L_4 = 3 \times 2.617 \\\\ L_4 = 7.851[/tex]

The length of arc for the options1,2,3 and  4 willl be  60.39,61.23,10.4 and 7.851 respectively.

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Placing the equations under the correct solution, we get

x = 3                                      x ≠ 3

-14x = -42                              -5 + x = -9

[tex]-\frac{3}{5} +x = \frac{12}{5}[/tex]                          [tex]\frac{x}{3} =9[/tex]

[tex]\frac{x}{4} =\frac{6}{8}[/tex]                                    

x -5 = -2            

From the question, we are to place the equations under the correct solution

To do this, we will solve the equations one after the other

x = -42/-14

x = 3

x = -9 + 5

x = -4

∴ x ≠ 3

[tex]x = \frac{12}{5} +\frac{3}{5}[/tex]

[tex]x = \frac{12+3}{5}[/tex]

[tex]x = \frac{15}{5}[/tex]

x = 3

[tex]x=\frac{6\times 4}{8}[/tex]

[tex]x=\frac{24}{8}[/tex]

x = 3

x = 3 × 9

x = 27

∴ x ≠ 3

x = -2 + 5

x = 3

Hence, placing the equations under the correct solution, we get

x = 3                                      x ≠ 3

-14x = -42                              -5 + x = -9

[tex]-\frac{3}{5} +x = \frac{12}{5}[/tex]                          [tex]\frac{x}{3} =9[/tex]

[tex]\frac{x}{4} =\frac{6}{8}[/tex]                                    

x -5 = -2            

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Answer:

  (b)  8.9 m

Step-by-step explanation:

The mirror ensures that angle 1 is congruent to angle 2, so the triangles in the diagram are similar. The ratios of height to mirror distance are proportional.

__

The height of the object is proportional to its distance from the mirror, so we have ...

  (tree height)/(tree-to-mirror) = (person height)/(person-to-mirror)

  (tree height)/(2.5 m) = (1.78 m)/(0.5 m)

Multiplying this proportion by 2.5 m, we find ...

  tree height = (2.5 m)(1.78/0.5) = 8.9 m

The height of the palm tree is 8.9 meters.

Answer:

its A

Step-by-step explanation:

Its a because its A =)

Answer:

a = 2.36

Step-by-step explanation:

a-(-3.75)=6.11

The negative 3.75 is being subtracted from the 'a'. A negative number being subtracted from another number makes it positive. So, 3.75 is actually being added to 'a' which is equal to 6.11

I re-wrote the question as:

a + 3.75 = 6.11

Subtract 3.75 from both sides to leave 'a' by itself

a + 3.75 = 6.11

   -3.75    -3.75

a = 2.36

Answer:

3t

Step-by-step explanation:

The algebraic expression to show the number of tomatoes Tye planted this year is 3t

From the first statement given in the question, we were told that:

From the above statement, we can write the algebraic expression to show the number of tomatoes Tye planted this year. This is shown below:

Number of tomatoes planted this year = 3 × Number of tomatoes planted last year

= 3t

Thus, from the above illustration we can say that the algebraic expression is 3t

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Answer:

-x² + 3x + 7

Step-by-step explanation:

(f-g)(x) = f(x) - g(x) = (3x+1)-(x²-6) = -x² + 3x + 7

The value of (f - g)(x) is -x² + 3x + 7.

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, the given functions are;

   f(x) = 3x + 1

   g(x) = x² - 6

Now,

 (f - g)(x) = f(x) - g(x)

              = (3x + 1) - (x² - 6)

              = 3x + 1 - x² + 6

(f - g)(x)  = -x² + 3x + 7

Thus, the value of (f - g)(x) is -x² + 3x + 7.

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Answer:

B: 3/4a + 1/2b - 3

Step-by-step explanation:

Answer: 1/3 (if you have other questions like these you can use a slope calculator)

Answer:

2/9 or 0.22222

Step-by-step explanation:

A consistent and independent system of equations describes the given system of equations.

The consistent and independent system of equations are given below.

A consistent equation is a system of linear equations that is consistently unbiased when it has precisely one solution. While this is the case, the graphs of the lines within the system move at exactly one point. In inconsistent, a system of linear equations is inconsistent if it has no solutions.

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If x is the largest side :

If 4.1 is the greatest side :

Range of possible sizes for side 'x' :

Answer:

6

Step-by-step explanation:

Mean no. of runs per game =

= Total no. of runs/ total no. of games

= 9+8+4+0+7+6+4+5+9+8 / 10

= 60 / 10

= 6