What is the inverse of f(x) = 8x - 7

Answers

Answer 1

y=(x+7)/8

Work:
Y=8x-7 —> x=8y-7
Solve for y
x+7=8y
y=(x+7)/8

Answer 2

Final answer:

The inverse of the function f(x) = 8x - 7 can be found by switching the x and y, then solving for y. This gives the inverse function as f^-1(x) = (x + 7) / 8.

Explanation:

The inverse of a function is calculated by switching the input and output variables. Given your question, we are to find the inverse of the function f(x) = 8x - 7. To do this, we first rename f(x) as y, giving us y = 8x - 7.

Next, we switch the positions of x and y, leading to x = 8y - 7. Then, to isolate y which represents the inverse function, we should solve the equation for y: x + 7 = 8y and y = (x + 7) / 8. So, the inverse of the function f(x) = 8x - 7 is f^-1(x) = (x + 7) / 8.

Learn more about Inverse Function here:

https://brainly.com/question/38141084

#SPJ11

Related Questions

What is the equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –(x – 6) and passes through the point (−2, −2)?

Answers

That line is in point-slope form:

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

Where 'm' is the slope and (x1, y1) is a point on the line.

Perpendicular lines have opposite slopes. To get the opposite, we take the reciprocal and multiply it by -1.

[tex]\sf -1[/tex]

Reciprocal:

[tex]\sf -\dfrac{1}{1}\rightarrow -\dfrac{1}{1}\rightarrow -1[/tex]

Multiply by -1:

[tex]\sf 1[/tex]

We can plug this slope and the point into point-slope form, and then convert it to slope-intercept form.

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

[tex]\sf y-(-2)=1(x-(-2))[/tex]

Negatives cancel out:

[tex]\sf y+2=1(x+2)[/tex]

Distribute 1 into the parenthesis:

[tex]\sf y+2=x+2[/tex]

Subtract 2 to both sides:

[tex]\boxed{\sf y=x}[/tex]

Use the quadratic formula to determine the exact solutions to the equation. 6x2+4x−3=0

Answers

Using the quadratic formula this is the solution i found for you

The correct answer is [tex]x = \frac{-4 + 2\sqrt{22}}{12}$ and $x = \frac{-4 - 2\sqrt{22}}{12}[/tex]

To find the exact solutions to the equation [tex]6x^2 + 4x - 3 = 0[/tex]using the quadratic formula, we can follow these steps:

Given quadratic equation: [tex]6x^2 + 4x - 3 = 0[/tex]

[tex]a = 6, b = 4, c = -3[/tex]

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

[tex]x = \frac{-4 \pm \sqrt{4^2 - 4(6)(-3)}}{2(6)}[/tex]

[tex]x = \frac{-4 \pm \sqrt{16 + 72}}{12}[/tex]

[tex]x = \frac{-4 \pm \sqrt{88}}{12}[/tex]

[tex]x = \frac{-4 \pm \sqrt{4 \cdot 22}}{12}[/tex]

[tex]x = \frac{-4 \pm 2\sqrt{22}}{12}[/tex]

Solution 1: [tex]x = \frac{-4 + 2\sqrt{22}}{12}[/tex]

Solution 2: [tex]x = \frac{-4 - 2\sqrt{22}}{12}[/tex]

Therefore, the two exact solutions to the equation [tex]6x^2 + 4x - 3 = 0[/tex] are:

[tex]x = \frac{-4 + 2\sqrt{22}}{12}$ and $x = \frac{-4 - 2\sqrt{22}}{12}[/tex]

Please Help!!!

The figure shows a line graph and two shaded triangles that are similar:

Which statement about the slope of the line is true? (5 points)
Select one:
a. It is fraction 1 over 2 throughout the line.

b. It is 2 throughout the line.

c. The slope from point O to point A is fraction 1 over 2 time the slope of the line from
point A to point B.

d. The slope from point O to point A is two times the slope of the line from point A to point B.

Answers

The slope is 1/2 throughout the entire line.

Looking at the first triangle, the rise is 2 and the run is 4. That gives us a slope of 2/4 = 1/2.

For the second triangle, the rise is 1 and the slope is 2. This gives us a slope of 1/2.

Any linear function will have the same slope throughout the entire line.

If a line crosses the y-axis at (0,8) and has a slope of -1/8,what is the equation of the line?

A.y= 1/8x+8

B.y=-1/8x-8

C.y=8x-8

D.y=-1/8x+8

Please help me!!!!!!

Answers

The answer is D because of the formula "y=mx+b"
the slope is always connected to the x, and "b" is the y axis point of the two coordinate pairs, so it would be minus eight if the coordinate pairs were (0, -8).
[tex]y = mx + b[/tex]
m= slope
b= y axis point of the two coordinate pairs

Answer:

Step-by-step explanation:

Write the equation of a line that includes the point (1, 5) and has a slope of 3 in standard form. 3x + y = 5 –3x + y = 5 3x + y = 2 –3x + y = 2

Answers

-10 is the answer lah bro .

A warranty identification number for a certain product consists of a letter of the alphabet followed by four-digit number. How many possible identification numbers are there if the first digit of the four-digit number must be nonzero?,

Answers

A warranty identification number has the format: A0000 There are 26 letters in the alphabet. If the identification number has the first digit being 0 then for each letter the number can only go up to A0999. Including A0000, this means there is 1000 combinations per letter. So there is 26,000 possible identification numbers.

You and your friend are standing back-to-back. Your friend runs 10 feet forward and then 8 feet right. At the same time, you run 11 feet forward and then 12 feet right. You stop and throw a baseball to your friend, who catches it. How far did you throw the baseball?

Answers

Approximately about (20.71 ft)

The table below represents the displacement of a bird from its nest as a function of time: time (hours) x displacement from nest (miles) y 0 12 1 20 2 28 3 36 4 44 part
a.what is the y-intercept of the function, and what does this tell you about the bird? part
b.calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. part
c.what would be the domain of the function if the bird continued to fly at this rate until it traveled 172 miles from the nest?

Answers

Answer: See each part below.

Part A: The y-intercept is the first value, or 12. That means that they bird is 12 miles from its nest when the time started.

Part B: The average rate of change is the slope. From 1 to 3 hours, the bird went from 20 to 36 or 16 miles. 16 miles in 2 hours is the same as 8 miles in 1 hour.

Part C: To find the extent of the domain, write and solve the following equation for 172 miles.
172 = 8x + 12
160 = 8x
20 = x

The domain will go up to 20 hours.

The graph of F(x) can be stretched vertically and flipped over the x-axis to produce the graph of G(x). If F(x) = x2, which of the following could be the equation of G(x)?

A. G(x) = 4x2
B. G(x) = -1/4x2
C. G(x) = -4x2
D. G(x) = 1/4x2

Answers

If it is stretched vertically then the answer is between A and C. What is in front of the x^2 must be greater than 1
In other words if y = ax^2 then a must be greater than 1

If it is flipped over the x axis then the answer is C.

Answer:

The correct option is C.

Step-by-step explanation:

The given function is

[tex]F(x)=x^2[/tex]

The transformation of the function is defined as

[tex]G(x)=kF(x)[/tex]

If k>1, then the graph of function F(x) stretched vertically and If 0<k<1, then the graph of function F(x) compressed vertically.

It is given that the graph of F(x) can be stretched vertically, it means the value of k must be greater than 1.

The graph of F(x) is flipped over the x-axis, so the function G(x) is equal to the negative of k times of F(x).

[tex]G(x)=-kF(x)[/tex]

Where must be greater than 1.

In option 3, G(x) is equal to the negative of 4 times of F(x). Only in this option, there is negative relation between F(x) and g(x) with k>1.

[tex]G(x)=-4F(x)[/tex]

Therefore the correct option is C.

fourteen less than three fourths of a number is negative eight

Answers

3/4x -14 = -8

After solving it...
x = 8

Hope this helps

14 - 3/4x = -8
14+8 = 3/4x
22 = 3/4x
88 = 3x
88/3 = x

hElP!
A carpenter designs two cabinets: one in the shape of an oblique rectangular prism and one in the shape of a right rectangular prism. The volume of each cabinet is 4,608 cubic inches. The oblique rectangular prism is 48 inches tall and has an edge length of 64 inches. The right rectangular prism has a height of 48 inches. Which statements about the cabinets are true? CHECK ALL THAT APPLY
a. The cabinets have the same base area.
b.The base area of the oblique prism is smaller than the base area of the right prism.
c.The cabinets may have the same base dimensions.
(MORE DOWN BELOW),

Answers

Answer:

A- The cabinets have the same base area.

C- The cabinets may have the same base dimensions.

D- The cabinets may have different base dimensions

Step-by-step explanation:

Answer:

A. C. D.

Step-by-step explanation:

the sum of two number is 10. the difference between the numbers is 4. what are the two numbers.

Answers

Your answer is 7 and 3.

A yoga membership costs $16 and an additional $7 per class. Write a linear equation modeling the cost of a yoga membership.

y = 16x + 7
y = 7x + 16
y = 23x + 7
y = 23x + 16,

Answers

In this example: The $16 fee does not change. The additional amount will be determined by the number of classes multiplied by 7 (dollars per class). Therefore, Where y is the total cost for membership Where x is the number of classes y = 7x + 16

Help see the picture

Answers

the answer is £630.00

799-102=697
697 rounds to 700
89 rounds to 90
90 x 700 = 63000
hope i could help

PLEASE HELP ME ON THIS
THANK U
PLZ SHOW UR WORK

Answers

2012
50,000 records

2013
50,000 × 1.1
55,000 records

2014
55,000 × 1.1
60,500 records

2015
60,500 × 1.1
66,550 records

2016
66,550 × 1.1
73,205 records

Set operations including cardinality of power sets and listing the elements of a power set and finding the number of subsets of a given size. let u = {-1, 0, 1, 2, 3, 4, 6} , a = {-1, 1, 2, 3, 4} and b = {0, 2, 4, 6}. find
a.a u b,
b.a ∩ b,
c.b – a,
d.the power set of b and its cardinality

Answers

a. a [tex]\cup[/tex] b
a [tex]\cup[/tex] b means the resulting set when a and b are merged, less duplicates.
a [tex]\cup[/tex] b={-1, 1, 2, 3, 4} [tex]\cup[/tex] {0, 2, 4, 6}
={-1,0,1,2,3,4,6}

b. a [tex]\cap[/tex] b
a [tex]\cap[/tex] b means the set of members which are common to both a and b.
a [tex]\cap[/tex] b={-1, 1, 2, 3, 4} [tex]\cap[/tex] {0, 2, 4, 6}
={2,4}

c. b-a
b-a is the set of members present in b but not in a.
{0, 2, 4, 6}-{-1, 1, 2, 3, 4}
={0,6}

d. Power set of b, its cardinality
Power set is the set of all possible combinations of elements.
There are 2^n members in the power set of x where n is the number of elements in the set x.
For example, power set of S={1,2} is {[tex]\phi[/tex],{1},{2},{1,2}}
The cardinality of S above is the number of elements in the set, therefore 2^2=4.

For b={0,2,4,6}
The power set is
{[tex]\phi[/tex],{0},{2},{4},{6},{0,2},{0,4},{0,6},{2,4},{2,6},{4,6},{0,2,4},{0,2,6},{0,4,6},{2,4,6},{0,2,4,6}}
for a total of 2^4=16 members in the power set.
Therefore the cardinality of the power set is 16.

The union of A and B is {-1, 0, 1, 2, 3, 4, 6}, the intersection is {2, 4}, and the difference B - A is {0, 6}. The power set of B contains 16 subsets.

Set Operations: Union, Intersection, Difference, and Power Sets

Let's solve the given problems step by step:

a. The union of sets A and B (A ∪ B)

A ∪ B represents all unique elements that are in either set A or set B.

Given: A = {-1, 1, 2, 3, 4} and B = {0, 2, 4, 6}

A ∪ B = {-1, 0, 1, 2, 3, 4, 6}

b. The intersection of sets A and B (A ∩ B)

A ∩ B represents all elements that are present in both sets A and B.

A ∩ B = {2, 4}

c. The difference of sets B and A (B - A)

B - A represents all elements that are in set B but not in set A.

B - A = {0, 6}

d. The power set of B and its cardinality

The power set of a set is the set of all its subsets, including the empty set and the set itself. If a set has n elements, its power set will contain 2^n subsets.

B = {0, 2, 4, 6}

The power set of B is: { {}, {0}, {2}, {4}, {6}, {0, 2}, {0, 4}, {0, 6}, {2, 4}, {2, 6}, {4, 6}, {0, 2, 4}, {0, 2, 6}, {0, 4, 6}, {2, 4, 6}, {0, 2, 4, 6} }

The cardinality of the power set of B is 2^4 = 16.

In summary:

A ∪ B = {-1, 0, 1, 2, 3, 4, 6}

A ∩ B = {2, 4}

B - A = {0, 6}

The power set of B has 16 elements.

In triangle XYZ, the length of side XY is 24 mm and the length of side YZ is 34 mm. Which of the following could be the length side XZ?

A. 8 mm
B. 63 mm
C. 42 mm
D. 60 mm

Answers

In a triangle, the length of any side is greater than the difference of the lengths of the other two sides and less than the sum of the lengths of the other two sides.

34 mm - 24 mm = 10 mm

The length of side XZ must be greater than 10 mm.

24 mm + 34 mm = 58 mm

The length of side XZ must be less than 58 mm.

The only choice between 10 mm and 58 mm is 42 mm.

Place the indicated product in the proper location on the grid.

(5c +2/3 )(5c -2/3 )

Answers

Answer
25c^2-4/9

Explanation
In this question you are expected to expand (5c+2/3)(5c-2/3)
(5c+2/3)(5c-2/3)=(5c×5c)-(5c×2/3)+(5c×2/3)-(2/3×2/3)
=25c^2-10c/3+10c/3-4/9
25c^2-4/9
The expanded form of (5c+2/3)(5c-2/3) is 25c^2-4/9 and this is what the question requires of you to do.

Answer:

The product of the polynomial [tex]\left(5c+\frac{2}{3}\right)\left(5c-\frac{2}{3}\right)=25c^2-\frac{4}{9}[/tex]

Step-by-step explanation:

given : The polynomial [tex]\left(5c+\frac{2}{3}\right)\left(5c-\frac{2}{3}\right)[/tex]

We have to place the indicated product in the proper location o the grid.

Consider the given polynomial [tex]\left(5c+\frac{2}{3}\right)\left(5c-\frac{2}{3}\right)[/tex]

Apply identity of difference of square

[tex]\left(a+b\right)\left(a-b\right)=a^2-b^2[/tex]

We have,

[tex]=\left(5c\right)^2-\left(\frac{2}{3}\right)^2[/tex]

Simplify, we have,

[tex]=25c^2-\frac{4}{9}[/tex]

Thus, The product of the polynomial [tex]\left(5c+\frac{2}{3}\right)\left(5c-\frac{2}{3}\right)=25c^2-\frac{4}{9}[/tex]

Location on gris shown below.

What is the slope of the line that contains the points (4,-1) and (-1,4)?

Answers

If you follow the slope formula your answer should be -1
proof:
slope formula: Y2-Y1/X2-X1=Slope (M)
4,-1 will be our x1,y1 and -1,4 will be our x2,y2
plug in numbers into formula: 4-(-1)/ -1-4
simplify you get 5/-5
simplify again and your answer is -1!!!
If its wrong im sorry

Answer:

-1

Step-by-step explanation:

A globe in a brass stand has a diameter of 40 in . what is the volume of the globe to the nearest cubic inch?

Answers

You take half of the diameter to find the radius. 40 divided by 2 = 20

2* 3.14* 20 = 125.6in cubed

Don't forget to put 2 above inches for volume.

The Globe is in the shape of a sphere, so we will use the volume of the sphere formula.

--------------------------------------------------------------------
Formula: Volume of a sphere
--------------------------------------------------------------------
[tex]Volume \ of \ a \ sphere = \frac{4}{3} \pi r^3[/tex]

--------------------------------------------------------------------
Given Diameter, Find Radius
--------------------------------------------------------------------
Diameter = 40 in
Radius = 40 ÷ 2 = 20 in

--------------------------------------------------------------------
Apply Formula
--------------------------------------------------------------------
[tex]Volume \ of \ the \ sphere = \frac{4}{3} \pi (20)^3[/tex]
[tex]Volume \ of \ the \ sphere = 33510 in^3[/tex]

--------------------------------------------------------------------
Ans: Volume of the Globe is 33510 in³
--------------------------------------------------------------------

Help please asap

1. The area of a rectangular carpet is given by the trinomial 5x^2 - 3x - 14. What are the possible dimensions of the carpet? Use factoring.

A. (5x + 7) and (-x - 2)
B. (5x + 7) and (x - 2)
C. (5x - 7) and (x - 2)
D. (5x - 7) and (x + 2)

2. The area of a rectangular barnyard is given by the trinomial 6x^2 + 7x – 20. What are the possible dimensions of the barnyard? Use factoring

A. 2x - 5 and 3x + 4
B. -2x - 5 and -3x + 4
C. 2x + 5 and 3x - 4
D. 2x - 5 and 3x - 4

Answers

These are 2 questions and 2 answers:

1. Question 1: The area of a rectangular carpet is given by the trinomial 5x^2 - 3x - 14. What are the possible dimensions of the carpet? Use factoring.

Answer: 5x^2 -3x -14

Explanation:

You might probe the different pairs of factors given in the answer choices to check wich product is equal to the oirginal polynomial or you can factor from zero.

I will show you how to factor that polynomial from zero:

1) given: 5x^2 - 3x - 14

2) multiply and divide by the leading coefficient =>

5 [5x^2 - 3x -14 ]
----------------------
         5

3) Enter the the factor 5 inside the parenthesis:

5.5x^2 - 5.3x - 5.14
--------------------------
              5

4) rearrange conviniently to show (5x) as a common factir of the first two terms

(5x)^2 - 3(5x) - 70
--------------------------
              5

5) factor the numerator using 5x as common term of the two binomials:

(5x ) ( 5x   ) <----> open the parenthesis
(5x - ) (5x + ) <-----> include the signs
(5x - 10) (5x + 7) <---> two numbers that add up - 3 and their product is - 70

=>

(5x - 10)(5x + 7)
---------------------
         5

6) divide (5x - 10) by 5 => x - 2

7) factored expression

(x - 2) (5x + 7)

8) Conclusion: the answer is the option B. (5x + 7) and (x - 2)

2. Question 2. The area of a rectangular barnyard is given by the trinomial 6x^2 + 7x – 20. What are the possible dimensions of the barnyard? Use factoring

Answer: option C. (2x + 5)(3x - 4)

Explanation:

The procedure is the same of the question 1.

1) given: 6x^2 + 7x - 20

2) multiply numerator and denominator by 6 and rearrange to show (6x) as common factor ot the first two terms =>

(6x)^2 + 7(6x) - 120
--------------------------
              6
3) factor the numerador using 6x as common factor ot two binomials, and simplify:

(6x + )(6x - )
(6x + )(6x - )
(6x + 15) (6x - 8)

=>

(6x + 15)(6x -8)
---------------------
           6

(6x + 15)(6x - 8)
---------------------- =
        3.2

(6x + 15)      (6x - 8)
------------- . ------------ =
      3                2

(2x + 5)(3x - 4)

4) answer: option C. (2x + 5)(3x - 4)

The possible dimensions for the rectangular carpet with an area represented by the trinomial 5x^2 - 3x - 14 are (5x + 7) and (x - 2). For the barnyard with area 6x^2 + 7x - 20, the dimensions are (2x - 5) and (3x + 4).

To find the possible dimensions of the rectangular carpet with area 5x^2 - 3x - 14, we need to factor the trinomial. Factoring the trinomial, it is evident that we need two numbers whose product is -70 (5 * -14) and whose sum is -3. Factoring the trinomial we get (5x + 7)(x - 2), so the possible dimensions of the carpet are (5x + 7) and (x - 2), which corresponds to option B.

Similarly, to determine the dimensions of a barnyard with area 6x^2 + 7x - 20, we again factor the trinomial. We are looking for two numbers that multiply to -120 (6 * -20) and add up to 7. Factoring yields (2x - 5)(3x + 4), so the possible dimensions of the barnyard are (2x - 5) and (3x + 4), which corresponds to option A.

Suppose the line of best fit is being found for some data points that have an r-value of 0.876. If the standard deviation of the x-coordinates is 5.559, and the standard deviation of the y-coordinates is 7.163, what is the slope of the line to three decimal places?

Answers

1.129 is the answer i promise

Answer: 1.129

Step-by-step explanation:

In statistics, the slope of the line is given by :-

[tex]b=r\dfrac{\sigma_y}{\sigma_x}[/tex],

[tex]\text{where r is correlation coefficient,}\\\sigma_y\text{ is standard deviation of the y-coordinates,}\\\sigma_x\text{ is standard deviation of the x-coordinates,}[/tex]

[tex]\text{Given: }r=0.876\\\sigma_x=5.559\\\sigma_y=7.163[/tex]

Now, the slope of the line will be :-

[tex]b=0.876\times\dfrac{7.163}{5.559}\\\\\Rightarrow\ b =1.12876200756\approx1.129[/tex]

Hence, the lope of the line to three decimal places =1.129

What is the measure of ∠ABD?

27°
54°
114°
124°

Answers

we know that

An exterior angle is equal to the sum of the two non adjacent angles

In this problem

[tex](4n+6)\°=2n\°+60\°[/tex]

Solve for n

Group terms that contain the same variable, and move the constant to the opposite side of the equation

[tex](4n-2n)\°=(60-6)\°[/tex]

Combine like terms

[tex]2n\°=54\°[/tex]

[tex]n=27\°[/tex]

Find the measure of angle ABD

∠ABD=[tex](4n+6)\°[/tex]

Substitute the value of n

∠ABD=[tex](4*27+6)\°=114\°[/tex]

therefore

the answer is the option

[tex]114\°[/tex]

Answer:

the answer is 114

Step-by-step explanation:

hope i helped all of you guys and girls

Exponential Growth/Decay Function

Hint/Tip:

Remember, the basic general exponential function form is: y = Abx In detail, b is written as (1-r) where r is the rate of growth or decay, so our detailed formula is: y = A(1-r)x

Always work with the rate as a decimal number, not as percentage. If the rate is given as percent (%), you will need to divide it by 100 to have the decimal form.

The value of a car is $21,500. It loses 12% of its value every year.

(a) Write a function that represents the value y (in dollars) of the car after x years.

(b) Use the function to estimate the value of the car after 6 years. (round your answer to the nearest whole number)

Answers

(a) Write a function that represents the value and (in dollars) of the car after x years.
For this case what we should do is write the equation of exponential type.
We have then:
y = A (b) ^ x
Substituting the values:
y = 21500 (0.88) ^ x
Answer:
y = 21500 (0.88) ^ x

(b) Use the function to estimate the value of the car after 6 years. (round your answer to the nearest whole number)
We use the function found in part (a) and evaluate for x = 6.
We have then:
y = 21500 (0.88) ^ 6
y = 9985 $
Answer:
the value of the car after 6 years is:
y = 9985 $

point j has coordinate (-2,8) and point r has coordinates (-7,-3. find the coordinate of point A that partition line segment JR in the ratio of 5:2

Answers

so, the point A cuts jr into a 5:2 ratio, where the pieces of jA and Ar are at a 5:2 ratio, thus

[tex]\bf ~~~~~~~~~~~~\textit{internal division of a line segment} \\\\\\ j(-2,8)\qquad r(-7,-3)\qquad \qquad \stackrel{\textit{ratio from \underline{j} to \underline{r}}}{5:2} \\\\\\ \cfrac{j\underline{A}}{\underline{A} r} = \cfrac{5}{2}\implies \cfrac{j}{r} = \cfrac{5}{2}\implies 2j=5r\implies 2(-2,8)=5(-7,-3)\\\\ -------------------------------[/tex]

[tex]\bf A=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\ -------------------------------\\\\ A=\left(\cfrac{(2\cdot -2)+(5\cdot -7)}{5+2}\quad ,\quad \cfrac{(2\cdot 8)+(5\cdot -3)}{5+2}\right) \\\\\\ A=\left(\cfrac{-4-35}{7}~~,~~\cfrac{16-15}{7} \right)\implies A=\left( -\cfrac{39}{7}~~,~~\cfrac{1}{7} \right) \\\\\\ A=\left( -5\frac{4}{7}~~,~~\cfrac{1}{7} \right)[/tex]

what are the answers to all of these questions?

Answers

we have that

N 11)
a) graph the equation y=x²-3x-10

using a graph tool
see the attached figure

b) Determine the roots of the equations
the roots of the equations are the values for y=0
x²-3x-10=0
x²-3x-10=(x+2)*(x-5)=0
the roots are
x1=-2
x2=5

see the attached figure problem 11

N 12) what is the value of x in the equation?
3x²=7x

3x²=7x-------> 3x²-7x=0--------> x*(3x-7)=0

x1=0
3x-7=0------> 3x=7------> x=7/3

the values of x are
x1=0
x2=7/3---> 2.33
see the attached figure problem 12

N 13) what is the value of x in the equation?
x²-5x=6----------> x²-5x-6=0
x²-5x-6=0-------> (x+1)*(x-6)=0
the values of x are
x1=-1
x2=6

N 14) what is the value of x in the equation?
2x²-5x=12--------> 2x²-5x-12=0

using a graph tool
see the attached figure problem N 14
2x²-5x-12=0----------> (x+3/2)*(x-4)=0

the values of x are
x1=-3/2
x2=4

what is the area of a regular pentagon with an apothem of 25.1 and a perimeter of 182mm

Answers

area = # of sides * side length * apothem / 2
perimeter = 182
one side = 182/5 = 36.4
area = (5 * 36.4 * 25.1) / 2
area = 2,284.1

A poker hand consist of 5 cards?
a.find the total number of possible five card poker card hands.
b.find the number of ways in which one can king can be selected? c)find the number of ways in which four aces can be selected .
d.find the number of ways of getting four aces and one king.

Answers

c) it is answer in four acres can be selected.

In poker probability calculations, there are 2,598,960 possible five-card hands, various specific hand combinations such as those containing a king or four aces have their own probability, which can be determined using the formulas for combinations.

Calculations for Poker Probabilities

The subject of probability in a poker hand involves various combinations and permutations. Here's how the calculations are made:

Total number of five-card poker hands: The total number is calculated using combinations, as the order in which cards are drawn does not matter. This is given by the combination formula C(n, r) = n! / (r!(n-r)!), where n is the total number of available cards (52), and r is the number of cards drawn (5). Thus, there are 52! / (5!(52-5)!)= 2,598,960 possible hands.

Number of ways one king can be selected: There are four kings in a deck, so there are C(52, 5) - C(48, 5) ways to choose a hand with at least one king, as you subtract the number of hands without any kings from the total number of hands.

Number of ways four aces can be selected: There is only one way to choose all four aces, and then there are 48 remaining cards to choose the fifth card from, which gives 48 combinations.

Number of ways of getting four aces and one king: There are four kings to choose from and one specific combination of aces, so there are 4 ways to have a hand with four aces and one king.

At breakfast, restaurant charges $2 for the first cup of orange juice and then $1 for each refill which graph represents this situation

Answers

It would be 2 + 1x. The y intercept is 2, and every unit, you would multiply those numbers together. For example, if the x axis is 6, then you would do 2 + 6 which is 8 on the y axis and etc.

Answer:

its D

Step-by-step explanation:

Please help me. I'm confused. Consider the following geometric sequence. -5, 10, -20, 40,... If the recursive formula for the sequence above is expressed in the form a^n=b*^n-1, determine the value of B. B= (choices are 2, -2, 5, -5)

Answers

it -2 because a negative times a positive is a negative

Answer:

-2

Step-by-step explanation:

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