can you help me with this question please
A. 48
B. 56
C. 63
D. 102

Answer:

f⁻¹(x) = (x + 10)/2

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 2x - 10

Step 2: Rewrite

Step 3: Find Inverse

Solve for the new y.

Answer:

[tex]let \: the \: {f}^{ - 1}(x) \: be \: m \\ m = \frac{1}{2x - 10} \\ m(2x - 10) = 1 \\ 2x - 10 = \frac{1}{m} \\ x = \frac{1}{2m} + 5 \\ therefore \\ {f}^{ - 1} (x) = \frac{1}{2x} + 5[/tex]

Answer:

E 240

Step-by-step explanation:

Geometric Distribution mean = (1- p) / p

16 = (1 - p) / p

16p = 1 - p  ;  17p = 1 ; p = 1/17 = 0.058  

Standard Deviation = (1 - p) / p^2

= (1 - 0.058) / (0.058)^2

0.942 / 0.003364

= 280 , closest to 240

The first and last expressions are identified as a limit that exists.

'In Mathematics, a limit is defined as a value that a function approaches the output for the given input values.'

According to the given problem,

For expression 1,

     [tex]\lim_{n \to4}\frac{x^{2}-x-12 }{2-x}[/tex]

⇒ [tex]\lim_{n \to4} \frac{x^{2}-4x+3x-12 }{4-x}[/tex]

⇒ [tex]\lim_{n \to4}\frac{-x(4-x)-3(4-x)}{4-x}[/tex]

⇒ [tex]\lim_{n \to4}\frac{(4-x)(-x-3)}{4-x}[/tex]

⇒ [tex]\lim_{n \to4 }(-x-3)[/tex]

Now, we put the value of x as 4

⇒ - 4 - 3

= -7

Therefore, the limit exists.

For the last expression,

    [tex]\lim_{x \to 2} \frac{x^{2}+3x-10 }{x^{2} -4}[/tex]

⇒ [tex]\lim_{x \to 2} \frac{x^{2}+5x - 2x-10 }{(x+4)(x-4)}[/tex]

⇒ [tex]\lim_{x \to2} \frac{x(x+5) -2(x+5)}{(x+4)(x-4)}[/tex]

⇒ [tex]\lim_{n \to 2} \frac{(x+5)(x-2)}{(x+4)(x-4)}[/tex]

Now, putting the value of x = 2 in the expression,

⇒ (2+5)(2-2) / (2+4)(2-4)

⇒ 7*0 / 6*(-2)

= 0

Therefore, the limit exists.

For the other expressions, we cannot factorize the numerator or the denominator to cancel out the denominator because of which if we put the values of x directly into the denominator without cancelling it out, the denominator would be zero, which means infinity because zero in the denominator of a fraction means infinity or undefined or does not exist.

Hence, we can conclude that expressions 1 and 6 are limits that exist.

Learn more about limits here: https://brainly.com/question/13100668

#SPJ2

Answer:

The equations are x=a and y=b.

The graph of x=a is a line parallel to y-axis and y=b is a line parallel to x-axis.

∴ the angle between them is 90o, i.e. they intersect.

So, the equations are consistent.

Now solving simultaneously, the solution is (a,b).

So, the point of intersection is (a,b).

Hence, option D is correct.

Answer:

10.50

Step-by-step explanation:

5% of 10 is 0.5

0.5+10=10.50

Answer:

The answer is $10.50

Step-by-step explanation:

5% of $10 is 50cents so you add .50 to 10 and get $10.50

Answer: b. 30%

Step-by-step explanation:

i.e. [tex]CV=\dfrac{\sigma}{\mu}[/tex]

Given: mean =  [tex]\mu=90[/tex]

Variance = [tex]\sigma^2 = 729[/tex]

[tex]\sigma=\sqrt{729}=27[/tex]

Now, [tex]CV=\dfrac{27}{90}=0.3[/tex]

in percent , [tex]CV= 0.3\times100\%= 30\%[/tex]

Hence, correct option is  b. 30%.

Based on the information given the coefficient of variation is b. 30%.

Using this formula

Coefficient of variation=√Variance/Mean

Let plug in the formula

Coefficient of variation=√729/90

Coefficient of variation=27/90

Coefficient of variation=0.3×100

Coefficient of variation=30%

Inconclusion the coefficient of variation is b. 30%.

Learn more about coefficient of variation here:https://brainly.com/question/12327871

Answer:

58.25n+30p-2

Step-by-step explanation:

Answer: I got 233n + 120p - 8

 ———————————————

        4    

Step-by-step explanation:

Answer:

In triangle ABC and triangle CDA

AB=CD(given)

BC=DA(given)

AC=AC(common)

Thus triangle ABC and triangle CDA are congruent by SSS rule

Answer:

Step-by-step explanation:

Given:

Three congruent sides, two given and one shared

Side-side-side postulate SSS

Answer:

150π in^2/min.

Step-by-step explanation:

Area of circle A = πD^2/4

where D is the diameter of the circle.

now, taking differentiation w.r.t. to time t we get

dA/dt = π/4 ×2D×dD/dt

given dD/dt = 5in/min

therefore, dA/dt =  π/4×2×5×(20×12)

=π/4×600

=150π in^2/min.

Answer:

600π in^2/min

Answer:

The sum does not exist, but if you are in a senior math class, it could be - infinity.

Step-by-step explanation:

If the sum does not have an endpoint (and it looks like it does not), then the sum really does not exist.

Consider this question.

Does the sum stop at 0 as in

50 + 40 + 32  + 24 + 16  + 8 + 0

But why not - 8 or - 16 or ...

So it is not that the sum does not exit. It is that we do not know where that stop is. Depending on your grade level, you could answer - infinity, but I doubt that is the expected answer.

Answer:

this question is of high school or collage

Answer:

Step-by-step explanation:

The answer is 62.

Here's an example.

52 - ( -10 ) = 62

So, the difference in temperature from Sunday to Tuesday is 62.

Just to let you know.

( -10 ) - 52 = -62 ( This is not the answer )

Remember that 62 is the answer.

Hope this helps! <3

Answer:

5.8

Step-by-step explanation:

If done on graph, just subtract x value of point A with x value of the line when its y value is -21.

If done algebraic, then plug in -21 into the y value for 5x+2y=4, then take the answer to x value (in our case 9.2) and subtract that from 15.

Answer:

Think of a =1 and b=3

All three choices are false

Step-by-step explanation:

Answer:

Step-by-step explanation:

a is less than b in all the cases... if a or b were below zero... it might make a difference.. but b/c they are both positive.. the abs signs make no difference

all the answers are false

Answer:

0.85p and p - 0.15p are right

Answer: c. [tex]P(I \text{ or }\overline{H})[/tex]

Step-by-step explanation:

Notation to show "not an event E" : [tex]\overline{E}[/tex]

Given:  I = the event that a player in an infielder.

H = the event that a player is a great hitter.

= the event that a player is not a great hitter.

The correct symbol for the probability that a player is an infielder or is not a great hitter : [tex]P(I \text{ or }\overline{H})[/tex]

hence, the correct option is  c. [tex]P(I \text{ or }\overline{H})[/tex]

Answer:

Answer is A

Step-by-step explanation:

Took on Edge 2020

The student should have added 3 + 4 to get the total number of sections, and used the fraction three-sevenths instead of three-fourths.

Given the segment partitioned in a ratio of 3:4, the total ratio is expressed as:

If point C is on the line segment AB, hence the point C on the line will be expressed as:

[tex]C = \frac{3}{3+4} \cdot (2-(-6)+(-6))\\C= \frac{3}{7} \cdot (2+6-6)\\C= \frac{3}{7} \cdot (8-6)\\C=\frac{3}{7} \=(2)\\C=\frac{6}{7}[/tex]

Based on the calculation, we can conclude that the student's answer is incorrect. The student should have added 3 + 4 to get the total number of sections and used the fraction three-sevenths instead of three-fourths

Learn more on midpoint here: https://brainly.com/question/5566419

Answer:

5.1

Step-by-step explanation:

Answer:

1, 2, 3

Step-by-step explanation:

Solve the inequality for n.

Divide both sides by 4.

4n < 16

4n/4 < 16/4

n < 4

Any number less than 4 is a solution. Now we look at the numbers in the set.

The numbers 1, 2, 3 are solutions.

Answer:

[tex]963.34\ \text{years}[/tex]

Step-by-step explanation:

[tex]t_{1/2}[/tex] = Half life of carbon = 5730 years

[tex]\dfrac{N}{N_0}[/tex] = Decay rate = [tex]89\%=\dfrac{89}{100}[/tex]

Duration of time passed is given by

[tex]t=t_{1/2}\dfrac{\ln\dfrac{N}{N_0}}{\ln\dfrac{1}{2}}\\\Rightarrow t=5730\times\dfrac{\ln\dfrac{89}{100}}{\ln\dfrac{1}{2}}\\\Rightarrow t=963.34\ \text{years}[/tex]

The scroll is [tex]963.34\ \text{years}[/tex] old.

Answer:

95

Step-by-step explanation:

If the ratio is

8 :  9

and you know that there are 40 blue cards, than multiply the ratio by 5

8  ⋅  5 : 9  ⋅  5

40  :  45

If Max has 40 blue cards, he will have 45 red cards. Therefore, he has  40  +  45  =  95  cards in total.

Answer:

(159+833)*6 = 5952

Step-by-step explanation:

(159 + 833) * 6

= 992*6 = 5952

Answer:

yea its C

Step-by-step explanation:

he is right.

Answer:

c

Step-by-step explanation:

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. Triangle Angle-Sum Corollaries: The acute angles of a right triangle are complementary. Corollary: a theorem in which the proof follows directly from another theorem.

Answer:

A corollary to a theorem is a statement that can be proved easily by using the theorem. A useful corollary to the Triangle Sum Theorem involves exterior angles of a triangle. ... The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

Answer:

9/10

Step-by-step explanation:

you can only add fractions when the denominator is the same, so u either have to multiply or divide a fraction. In this case, we'll multiply 4/5 with 10/10 so that the denominator will be the same as 5/50, and so that the value, 4/5(10/10), would still equal 4/5

4/5(10/10) + 5/50

40/50 + 5/50

45/50

simplify it

9/10

Answer:

200mg is in 5 ml. So how much is in 1 ml? 200÷5=40mg per ml. 300÷40=7.5ml