Write a coordinate rule for the composition 

Nice work on selecting "invalid" as the correct answer.

The reason why this argument is invalid is because the 'x' could be in circle B or could be outside circle B. There's simply not enough information.

The venn diagram would either be (A) or (D).

The only information we know is that Fred is does not live in San Francisco, so the 'x' will not be placed inside circle A.

Ignore any diagram where x is on the edge of a circle. That isn't allowed in venn diagrams because a person is either in San Francisco, or they aren't (same goes with California). We can't have blurry boundaries like that. This means venn diagrams (B) and (C) are nonsensical.

The value of f(9) is 13

The function f(x) = x + 4

The function g(x) = 3x / x+1

The function is the mathematical statement that show the relationship between one variable and another variable. If one variable is independent variable and another variable will be dependent variable. Also the function is the equation that shows the relationship between the input  and output.

The function

f(x) = x + 4

We have to find the value of f(9)

We have to substitute the value of x = 9 in the function

f(9) = 9 + 4

Add the terms

f(9) = 13

Hence, the value of f(9) is 13

Learn more about function here

https://brainly.com/question/20534410

#SPJ9

Answer A ; 4934 is the P-intercept. which indicates that 4934 people called Minnesota home in 2000.

Answer B ;  T-intercept is -4934/37, or approximately -133. This indicates that Minnesota had a population of 2000–133 in 1867.

Answer A : P=37t+4934 can be used to represent Minnesota's population in thousands over the t years after 2000.

P-intercept is the P value at time t=0.

P=37*0+4934\sP=0+4934\sP=4934

So, 4934 is the P-intercept. which indicates that 4934 people called Minnesota home in 2000.

Answer (B) : The term "t-intercept" refers to the value of the function t when P=0 0=37t+4934 -4934=37t divide by 37 -4934/37=t -133.351351351 = t

Hence T-intercept is -4934/37, or approximately -133. This indicates that Minnesota had a population of 2000–133 in 1867.

P=37t+4934 P-intercept means the value of P at t=0 P=37*0+4934 P=0+4934 P=4934

Given that Minnesota's population in thousands, t years since 2000, it can be expressed by the equation:

So, 4934 is the P-intercept. which indicates that 4934 people called Minnesota home in 2000.

To know more about functions or related problems visit:

https://brainly.com/question/17597708

#SPJ13

Answer:

x = 55

y = 20

Step-by-step explanation:

Angles on a straight line sum to 180°.

Finding x

⇒ 75° + (2x - 5)° = 180°

⇒ 75 + 2x - 5 = 180

⇒ 2x + 70 = 180

⇒ 2x + 70 - 70 = 180 - 70

⇒ 2x = 110

⇒ 2x ÷ 2 = 110 ÷ 2

⇒ x = 55

Finding y

⇒ 75° + (4y + 25)° = 180°

⇒ 75 + 4y + 25 = 180

⇒ 4y + 100 = 180

⇒ 4y + 100 - 100 = 180 - 100

⇒ 4y = 80

⇒ 4y ÷ 4 = 80 ÷ 4

⇒ y = 20

The inequality that describes this situation is f ≥ 5

How to calculate the inequality ?

Use the steps below to solve an inequality:

Step 1: Subtract all fractions by multiplying each term by the sum of all fractions' least common denominators.

Step 2: Simplify the inequality by merging like terms on each side.

Step 3: Add or subtract amounts to get the unknown and the numbers on either side.

As per the question it tells the High- fiber should have at least 5g of fiber per serving

f = Number of grams of fiber per serving of high-fiber food

∴ f ≥ 5

To learn more about calculating the inequality from the given link

https://brainly.com/question/24372553

#SPJ1  

Answer:

yes

Step-by-step explanation:

The original price of the ring is  £250.

A percentage is a number or ratio that can be expressed as a fraction of 100.

Given that, the purchase price of a diamond ring increases by £20 when the rate of VAT is increased from 12% to 20%.

Let the original price of the ring be x, then according to question,

120% of x - 112% of x = 20

1.2x - 1.12x = 20

0.08x = 20

x = 20/0.08

x = 250

Hence, The original price of the ring is  £250.

For more references on the percentage, click;

https://brainly.com/question/24159063

#SPJ1

The division of the given polynomial is [tex]13q - 9 + \frac{8}{q+7}[/tex].

What is the quotient of polynomials?

Any quotient of polynomials a(x)/b(x) can be expressed as q(x)+r(x)/b(x), where r(x) is a real number and b is a real number (x). For instance, x-2+3 can be used to represent (x2-3x+5)/(x-1) (x-1).

We have,

              [tex]\frac{(13q^{2} + 82q - 55)}{ (q + 7)}[/tex]

By dividing,

           [tex]\frac{(13q^{2} + 82q - 55)}{ (q + 7)} / \frac{(13q^{2} + 82q - 55)}{ (q + 7)}[/tex]

                  [tex]= 13q + \frac{-9q - 55)}{ (q + 7)}[/tex]

                   [tex]\frac{-9q - 55}{q+7} / \frac{-9q - 55}{q+7}[/tex]

                   [tex]= 13q - 9 + \frac{8}{q+7}[/tex]

Hence, the division of the given polynomial is  [tex]13q - 9 + \frac{8}{q+7}[/tex].

To learn more about the quotient of polynomials visit,

https://brainly.com/question/27601809

#SPJ1

You can afford a car at a price of 13,016.79

What is the monthly payment formula?

The monthly payments are given by the equation presented as follows:

[tex]A=P\frac{R(1+R)^{n} }{(1+R)^{n}-1 }[/tex]

where R = r / 12

P is the initial amount , r is the interest rate , n is the number of payments.

Given data ,

A = $ 350

R = 6 %

r = 6 / 12 %

 = 0.5 %

 = 0.005

n = 5 years

  = 5 x 12 months

  = 60

Therefore , the maximum value of the car is calculated as

[tex]A=P\frac{R(1+R)^{n} }{(1+R)^{n}-1 }[/tex]

[tex]250=P\frac{0.005(1+0.005)^{60} }{(1+0.005)^{60}-1 }[/tex]

[tex]250=P\frac{0.0067}{1.3488501-1}[/tex]

[tex]P = \frac{250*0.348850}{0.0067}[/tex]

[tex]P=\frac{87.2125}{0.0067}[/tex]

P = 13016.79

Hence , you can afford a car at a price of 13,016.79

To learn more about monthly payment formula click:

https://brainly.com/question/29328113

#SPJ1

Answer:

z = 4

Step-by-step explanation:

7z - 4 = 12 + 3z

1) We want to first move the z values to one side of the equation. This means we would subtract 3z from both sides to move it to the left side. This would give us 4z - 4 = 12.

2) We then want to isolate the z value. This means we want to move the -4 to the right side. We would add 4 to both sides and get 4z = 16.

3) We can then divide both sides by 4 and get the value for z.

This gives us z = 4.

Answer:

$35

Step-by-step explanation:

All you have to do is subtract 10 from 45 because it was $10 off and the original price was $45.

Answer:

$3

Step-by-step explanation:

Total of all = $19.50

3 Card holders total = $7.50

4 Baseball card total = ?

We know that 19.50 is the sum of the holders and cards together so we subtract $7.50 from $ 19.50.

$19.50-$7.50=$12 for ALL four baseball cards

We know that 4 baseball cards are $12, but if we DIVIDE 12 by four, we get the individual price per card.

12/4 = $3

Answer:

224 in²

Step-by-step explanation:

The formula for the area of a triangle is 0.5bh, where b is the base and h is the height. Here the base is '4t' and the height is '7t'. Subbing in 4 for t, we get

Base = 4(4) = 16

Height = 7(4) = 28

Subbing this values into our formula for the area of a triangle, and we have:

Area = 0.5(16)(28) = 224 in²

Answer:

[tex]d=-8[/tex]

Step-by-step explanation:

If the first term of a sequence is [tex]258[/tex] and the second term is [tex]250[/tex], then each successive term in the sequence is [tex]8[/tex] less than the previous term. Therefore, the common difference is [tex]-8[/tex] ( [tex]d=-8[/tex] ).

The formula representing the arithmetic sequence is:

[tex]a_n=-8n+266[/tex]

Therefore:

Term 1: [tex]a_1=-8(1)+266=-8+266=258[/tex]

Term 2: [tex]a_2=-8(2)+266=-16+266=250[/tex]

Term 3: [tex]a_3=-8(3)+266=-24+266=242[/tex]

…

Term 9: [tex]a_9=-8(9)+266=-72+266=194[/tex]

Answer:

log4 (70)

Step-by-step explanation:

log4(7) + log4(10) = log4(7 * 10 ) = log4(70)

It will take 7 days for Claire to sell as many candy bars as Ayden

Claire has sold 8 candy bars and sells 5 more each day

The first term = 8

Common difference = 5

nth term is = a+(n-1)d

= 8 +(n-1)5

= 8 + 5n - 5

= 3 +5n

Ayden has sold 20 candy bars and sells 3 more each day

The first term = 20

Common difference = 3

nth term = a+(n-1) d

= 20 +(n-1)3

= 20 + 3n -3

= 17 + 3n

Then,

3 + 5n = 17 + 3n

5n - 3n = 17 - 3

2n = 14

n = 14/2

n = 7

Hence, it will take 7 days for Claire to sell as many candy bars as Ayden

Learn more about nth term here

brainly.com/question/1582366

#SPJ1

The width of a rectangle is (7x+y) meters.

What is the area of a rectangle?

A flat surface of a specific shape can be thought of as the area it occupies in space. In terms of the "number of" square units, it is measured (square centimeters, square inches, square feet, etc.) The number of unit squares that can fit inside a rectangle is the area of that shape. The flat surfaces of laptop monitors, chalkboards, canvases, and other objects are a few instances of rectangular shapes.

Area of the rectangle is = (7[tex]x^{2}[/tex]+8xy+[tex]y^{2}[/tex]) square meter

length of the rectangle is = (x+y) meters

we know, the area of the rectangle= length×width

So, the width of the rectangle = (7[tex]x^{2}[/tex]+8xy+[tex]y^{2}[/tex])/(x+y) meters

=(7x+y)(x+y)/(x+y) meters

=(7x+y) meters

Hence, The width of a rectangle is (7x+y) meters.

to learn more about the area of the rectangle from the given link

https://brainly.com/question/25292087

#SPJ13

The explanation is above

Answer:

THE CORRECT ANSWER IS 1.9824 x 10^7

Step-by-step explanation:

award as brainliest

Answer: The answer to this question is $90.

Step-by-step explanation:

The Simple interest is $90.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.

For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5.

Given:

P= 1500

R = 12%

T= 6 month = 1/2 year

Using, formula of Simple Interest

I = P x R x T /100

I = 1500 x 12 x 1/ 2x100

I = 18000/200

I = 90

Hence, the interest is $90.

Learn more about Simple Interest here:

https://brainly.com/question/25845758

#SPJ1

Answer:

3

Step-by-step explanation:

From the given condition of number written on the board, first student increased it by 12 and second multiply by 3 the result of first one is greater than the second by 2 then number written on the board is 5.

As given in the question,

Let x be the number written on the board.

First student increased the number on board by 12 = x +12

Second student multiply the number on board by 3 = 3x

Required equation as per given condition is:

x +12 = 3x + 2

⇒ 3x -x = 12 -2

⇒ 2x = 10

⇒ x = 10/2

⇒ x= 5

Therefore, for the number written on the board, first student increased it by 12 and second multiply by 3 the result of first one is greater than the second by 2 then number written on the board is 5.

Learn more about increased here

brainly.com/question/6840659

#SPJ1

The answer is [14, 42].

The number 14 is even.

7 x 2 = 14

An even number, 42.

7 x 6 = 42

Find out more about set elements :

https://brainly.com/question/11154749

The Algebraic Equation is correct

What is Algebra?

One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for manipulating these symbols in formulas.

Two times a certain quantity

When a number is divided by two, ten is subtracted: 2x-9

The equal sign is a result.

The number and its sum equals 7+x.

Put everything together (except for the first 2x, that was used to find the second part).

2x-9=7+x

Get all of your like terms on the same side first. Because dealing with a negative variable can result in an additional step at the end, I personally dislike dealing with them. As a result, I'll take the n on the right and shift it to the 2x on the left.

2x-9=7+x

x-9=7

The -9 must now be positioned on the other side of the equal sign.

x = 7 + 9

x=16

Connect the 16 to the original equation to make sure you're doing it correctly.

2(16)-9=7+(16)

32-9=7+16

23=23

It is accurate.

Hence, The algebraic equation is correct

To learn more about Algebra click on the link

https://brainly.com/question/22399890

SPJ1

Answer:

2:20

Step-by-step explanation:

The movie started at 3:00 PM they got there at 2:45. and it took them 25 mins to get there meaning they left at 2:20.

All the real numbers x in the expression such that (3x - 27)³ + (27x - 3)³ = (3x + 27x - 30) is x = 1 .

In the question ,

it is given that the expression is

(3x - 27)³ + (27x - 3)³ = (3x + 27x - 30)

By using the identity a³ + b³ [tex]=[/tex] (a + b)(a² - ab + b² )

we get ,

[(3x - 27 + 27x - 3)] × [(3x - 27)² - (3x - 27)(27x - 3) + (27x - 3)² ] = 30x - 30

(30x - 30)×[(3(x - 9))² - (3(x - 9) × 3(9x - 1)) + (3(9x - 1))²] = 30x -30

using the identity (a-b)² [tex]=[/tex] a² -ab + b²

(30x - 30) × [9( x² - 18x + 81) - (9(9x² - 82x + 9)) + (9(81x² - 18x + 1)) = 30x-30

9(30x - 30)×[x² - 18x + 81 - 9x² + 82x - 9 + 81x² - 18x + 1] = 30x - 30

270×(x - 1)×[ 73x² + 46x + 73] = 30(x - 1)

taking (x-1) terms to LHS ,
we get

(270 - 30)×(x - 1)[ 73x² + 46x + 73 ] = 0

(240) (x - 1) [ 73x² + 46x + 73 ]  =  0     ....because 270-30 = 240

Dividing both sides by 240

we get ,

(x - 1) [73x² + 46x + 73] = 0

So , either x - 1 = 0    or      73x² + 46x + 73 = 0

on solving 73x² + 46x + 73 = 0

we get the discriminant of 73x² + 46x + 73  a negative number , so it cannot have real root .

hence x -1 = 0

x = 1

Therefore , the only real solution is x = 1 .

The given question is incomplete , the complete question is

Find all real numbers x in the expression such that (3x - 27)³ + (27x - 3)³ = (3x + 27x - 30)   ?

Learn more about Real Numbers here

https://brainly.com/question/4526506

#SPJ1

The solution set for the inequality is (-3, 3)

Here we have the absolute value inequality

|2x| - 6  < 0

To solve this, we need to isolate the variable, which in this case is x.

Adding 6 in both sides we get:

|2x| -6 + 6 < 0 + 6

|2x| < 6

This can be decomposed in the inequality:

-6 < 2x < 6

Now to competely solve the inequality, we will divide both sides by 2, so we get:

-6/2 < 2x/2 < 6/2

-3 < x < 3

So the solution set is (-3, 3)

Learn more about inequalities:

https://brainly.com/question/24372553

#SPJ1

The number of children in the school who speak a language other than English at home is 144.

The fraction of children who speak Polish is 1/6.

Percentage is the ratio of a quantity expressed as a number out of 100. Percentage is a measure of frequency. The sign that is used to represent percentage is %.

Number of children in the school who speak a language other than English at home = Percentage of the students who speak a language other than English x number of children

Number of children in the school who speak a language other than English at home = 45% x 320

Number of children in the school who speak a language other than English at home = 0.45 x 320 = 144

A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below.

Fraction of the students who speak Polish = number of students that speak Polish / total number of students who speak a language other than English.

Fraction of the students who speak Polish = 24 / 144 = 1/6.

To learn more about percentages, please check: https://brainly.com/question/25764815

#SPJ1