What is the solution to the system of polynomials graphed below?

1- First, replace f(x) with y

f(x) = x +3  ⇒ y = x + 3

2. Replace every x with a y and replace every y with an x .

y = x + 3 ⇒ x = y + 3

3. Solve the equation from Step 2 for y.

x = y + 3  ⇒ y = x-3

4 - Replace y with f⁻¹(x).

f⁻¹(x) = x-3

Answer:

Step-by-step explanation:

Answer:

x = 14 degrees

Step-by-step explanation:

There are a minimum of 4 triangles that this polygon can be divided into.

Hence, the total internal angle is (4*180) degrees = 720 degrees.

Therefore, 10x + (8x-16) + (12x-8) + (7x+2) + (9x+4) + (6x+10) = 720 degrees.

52x - 8 = 720 degrees

x = 728/52 degrees

x = 14 degrees

Hope this helped!

Answer:

3.75 or 3 3/4

Step-by-step explanation:

Answer:

3.75 or 3 3/4

Step-by-step explanation:

2 1/2 or 2.5 x 1 1/2 or 1.5 is 3 3/4 or 3.75

Hope it helps!

Answer:

-4539

Step-by-step explanation:

147 + 130 + 113 + 96 +

arithmetic, with

a = 147 and d 130 - 147 = -17

Sn = (n/2)(2a + d(n - 1))

S34 = (34/2)(2*147 - 17(34 - 1))

= 17(294 - 561)

hope it helps!

Answer:

What’s pad let?

Step-by-step explanation:

Answer:

Hope this may helps you

Step-by-step explanation:

6×3(11)

6×33

198

Answer:

198

Step-by-step explanation:

6 ×3(2+9)

= 6×3×11

= 6×33

= 198

Answer:

a)  1/10 x 5/10 = 1/20

b) 1/10 x 5/9 = 1/18

Step-by-step explanation:

a) Probability of selecting one biography and then one mystery, with replacement: 1/20

b) Probability of selecting one biography and then one mystery, without replacement: approximately 0.0556 or 5.56%.

The probability of each situation can be calculated as follows:

a) Selecting one biography and then one mystery, with replacement:

With replacement means that after each selection, the book is put back on the shelf before the next selection.

The probability of selecting the biography first is 1 out of 10 books (since there is 1 biography out of 10 books).

The probability of selecting the mystery book next is 5 out of 10 books (since there are 5 mysteries out of 10 books).

The overall probability is the product of the individual probabilities:

Probability = (1/10) * (5/10) = 1/20

So, the probability of selecting one biography and then one mystery, with replacement, is 1/20.

b) Selecting one biography and then one mystery, without replacement:

Without replacement means that after each selection, the book is not put back on the shelf before the next selection.

The probability of selecting the biography first is still 1 out of 10 books.

However, after selecting the biography, there are now 9 books left on the shelf, and the probability of selecting a mystery is 5 out of 9 books (since there are 5 mysteries out of the remaining 9 books).

The overall probability is the product of the individual probabilities:

Probability = (1/10) * (5/9) ≈ 0.0556 or 5.56%

So, the probability of selecting one biography and then one mystery, without replacement, is approximately 0.0556 or 5.56%.

To know more about Probability, refer here:

https://brainly.com/question/27784798

#SPJ2

Answer:

63 sq

Step-by-step explanation:

9*7

Answer:

4

Step-by-step explanation:

(ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

Here is a very high quality picture

Answer:

4

Step-by-step explanation: If you had 2 crayons and your friend had 2 crayons and you added them together it would equal 4!

Answer:

a. $22.50

b. 60%

c. $12.60/hr

Step-by-step explanation:

a. $900*0.025 = $22.50

b. $80-$50 = $30

$30/$50 = .60

.60*100% = 60%

c. $12*1.05 = $12.60

Answer:

1. $22.50

2. 60%

3. $12.60

Step-by-step explanation:

This time I put all three answers check for yourself

in step 2 he made his first mistake

1/2(n-4)-3=3-(2n+3)

1/2n-4/2-3=3-(2n+3)

1/2n-2-3=3-(2n+3)

in the second step he put 5 instead of 2.

Answer:

8 cups of shampoo concentrate

Step-by-step explanation:

let x=how much shampoo concentrate Devin should add

[tex]\frac{2}{9} =\frac{x}{36}[/tex]

cross multiply

2*36=9x

72=9x

72/9=x

x=8

Devin should add 8 cups of shampoo concentrate to the water to make the shampoo solution.

Answer:

$195

Step-by-step explanation:

$300*.65 (your precent turns to a decimal) = $195 left

Answer:

An equation is a math sentence that DOES contain an equals sign (=).

The inverse of addition is subtraction.

The inverse of subtraction is addition.

The inverse of multiplication is division.

The inverse of division is multiplication.

Step-by-step explanation:

I'm sorry if I got the first one incorrect.

Answer: 0.0625

Step-by-step explanation:

Answer:

3x^2+24

Step-by-step explanation:

i got it right on plato

Answer:

False

Step-by-step explanation:

As of 2017, 5 states (Alaska, Delaware, Montana, New Hampshire and Oregon) do not levy a statewide sales tax. California has the highest base sales tax rate, 7.25%. Including county and city sales taxes, the highest total sales tax is in Arab, Alabama, 13.50%.

Answer: -11/5

Step-by-step explanation:

[tex]\frac{11}{7}[/tex]÷[tex]\frac{-15}{21}[/tex]

-[tex]\frac{11}{7}[/tex]× [tex]\frac{21}{15}[/tex]

-11×[tex]\frac{3}{15}[/tex]

-11 × [tex]\frac{1}{5}[/tex]

Answer:

monke

Step-by-step explanation:

monke

Answer:

sdmcssv sdvnskdnksnlknvksj sd jn jksnjkd ns dj s j ks kasd

Step-by-step explanation:

oo

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ahh

ahhh

ahaahaha

Hope this helped!

Answer:

15

answer is 15 oooooooooooooooooooooooyup

Answer:

C. Right and isosceles

Explanation:

Since two sides of the triangle are equal in length ([tex]DE[/tex] and [tex]DF[/tex]), this means that the triangle is an isosceles triangle. Since [tex]EF[/tex] is the hypotenuse of this triangle, it also means that the triangle is a right-angle triangle (the hypotenuse refers to the longest side of a right triangle). Therefore, we can conclude that ΔDEF is right and isosceles.

Hope this helps :)

Answer:

It is C.

Step-by-step explanation:

Hope this helped have an amazing day!

Answer: Probability that Charles gets 7 or more correctly = 0.776

Probability that Ruth wins = 0.827

Step-by-step explanation:

Given data:

Probability that Charles distinguishes between beer and ale = 0.75

no of glasses = 10

no required to win the bet = 7 or more.

Solution:

a) probability of success p=0.75.

This is a binomial probability problem, what we need to solve for is the probability that ( X >=7 ) this can be gotten as

P(X>=7) = (10Ck) (0.75)^k (1-0.75)^(10-k)

where k=7,8,9,10

Probability that he gets 7 correctly.

P(X>=7) = (10Ck) (0.75)^k (1-0.75)^(10-k)

Substitute k = 7 into the equation

= 0.250

Probability that he gets 8 correctly.

P(X>=7) = (10Ck) (0.75)^k (1-0.75)^(10-k)

substitute k = 8 into the equation

= 0.282

Probability that he gets 9 correctly.

P(X>=7) = (10Ck) (0.75)^k (1-0.75)^(10-k)

Substitute k = 9 into the equation

= 0.188

Probability that he gets 10 correctly.

P(X>=7) = (10Ck) (0.75)^k (1-0.75)^(10-k)

Substitute the k= 10 into the equation.

= 0.0563

Probability that Charles gets 7 or more correctly

= 0.250 + 0.282 + 0.0563 + 0.188

= 0.776

b) Probability that Ruth wins

K = 1,2,3,4,5,6

p=0.5

P(X < 7)

P(X < 7) = (10Ck) (.5)^k (1-.5)^(10-k)

Probability that he gets one correctly

P(X = 1 ) = (10Ck) (.5)^k (1-.5)^(10-k)

substitute k= 1 into the equation.

= 0.0098

P(X=2) = (10Ck) (.5)^k (1-.5)^(10-k)

Substitute k= 2 into the equation

= 0.0439

P(X =3) = (10Ck) (.5)^k (1-.5)^(10-k)

Substitute k=3 into the equation.

=0.117

P(X=4) = (10Ck) (.5)^k (1-.5)^(10-k)

Substitute k= 4 into the equation

= 0.2051

P(X=5) = (10Ck) (.5)^k (1-.5)^(10-k)

Substitute k =5 into the equation

= 0.246

P(X= 6 ) = (10Ck) (.5)^k (1-.5)^(10-k)

Substitute k = 6 into the equation

= 0.205

Probability that Ruth wins

= 0.205 + 0.246 + 0.2051 + 0.117 + 0.0439 + 0.0098

= 0.827

Answer:

(D). Opens up with vertex at (- 3, - 4)

Step-by-step explanation:

Vertex form of quadratic equation is f(x) = a(x - h)² + k

If a > 0 the parabola is facing up , or down if a < 0 .

(D). Opens up with vertex at (- 3, - 4)

Answer:

(1,-4)

Step-by-step explanation:

Given:

y = −7x+3

y = −x−3

Computation:

y = −7x+3......eq1

y = −x−3.......eq2

Eq 1 - 2

-6x + 6 = 0

x = 1

So,

y = −7x+3

y = −7(1)+3

y = -4

So,

(1,-4)

Answer:

B is the answer.

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

-2 and 1/4 is the same as -9/4 bec -9/4 is just in the improper form.

(can i get brainliest now)

______________________________

 - This is an optional step. I prefer the numbers to be on the left hand side, but it's not necessary.

Equation at the end of Step 1:

 - When solving problems like this, to get k alone you have to do the opposite of what you see.

 - In this case, we have a -2. So to get rid of -2 we do the opposite: +2 on each side.

Equation at the end of Step 2:

 - When solving problems like this, to get k alone you have to do the opposite of what you see.

 - In this case, we have 5 being multiplied by k. So to get rid of the 5 we do the opposite: Divide by 5 on each side.

______________________________

Answer:

Please check the explanation.

Step-by-step explanation:

                                                      Part a)

Given the table

Year             Value ($)

1                    18,000

2                   15,300                

3                   13,005

Let us check the sequence

18000, 15300, 13005,...

Let us find the common ratio 'r' of all the adjacent terms to check whether the sequence represents the geometric sequence or not, using the formula such as:

[tex]\:r=\frac{a_{n+1}}{a_n}[/tex]

[tex]\frac{15300}{18000}=\frac{17}{20},\:\quad \frac{13005}{15300}=\frac{17}{20}[/tex]

As the ratio of all the adjacent terms is the same, so

[tex]r=\frac{17}{20}[/tex]

Therefore, the given sequence is a geometric sequence

                                                  Part b)

Given the sequence

18000, 15300, 13005,...

The nth term of the geometric sequence is

[tex]a_n=a_1\cdot r^{n-1}[/tex]

here

[tex]a_1=18000[/tex]

[tex]r=\frac{17}{20}[/tex]

so

[tex]a_n=18000\left(\frac{17}{20}\right)^{n-1}[/tex]

In order to determine the car worth in the 15th year, substitute n = 15

[tex]a_{15}=18000\left(\frac{17}{20}\right)^{15-1}[/tex]

[tex]a_{15}=18000\frac{17^{14}}{20^{14}}[/tex]

[tex]a_{15}=18000\times \:\:0.10276[/tex]

[tex]a_{15}=1850[/tex] $

Therefore, the worth of a car in the 15th year will be: $1850

Answer:

g(x) = 31x + 93

Step-by-step explanation: