Based on the graph below, what is a reasonable estimate for the y value when x is -4?

Answer:

1) There are 26 letters in the alphabet.  Thus, 27 people must be chosen because otherwise there could be 1 person per initial.

2) There are 7 days in a week.  Thus, if the first 7 had their birthdays on every day of the week, the 8th person must share a birthday on the same day of the week as another.

3) A phone number can contain 0,1,2,3,4,5,6,7,8,9.  Thus, if the first 10 people have a phone number that ends with each digit, the 11th must share it, as there are no unique options.

4)  100/2 = 50.  Thus, the minimum each bag could have is 50.

5) 19/3 > 6.  The maximum number you could get with numbers less than seven is 6,6,6 = 18.  18<19.  Thus, you need a number 7 or greater.

6) The worst scenario that could happen here is that you grab 8 German books, 10 French books, and 12 Spanish, Russian and Italian books.  This would be 54 books.  Thus, with the 55th book, you must have gotten 12 of at least one subject.  Thus, the answer is 55 books.

7) This is vague.  If she cannot repeat any of the three jokes in the triplet, then she must have 36 jokes for this to be possible, because 12*3=36

8) Each of the remaining 29 students made less than 12 mistakes.  Even if 2 students made 11,10,9,8,7,6,5,4,3,2,1 mistakes, there would still be multiple students left that would have made 11,10,9,8,7,6,5,4,3,2, or 1 mistake(s), meaning that at least 3 students made the same amount of mistakes.

9) 465/95 = about 4.9.  Thus, each table could have less than 6 seats, so we cannot be sure.

Hope it helps <3

Step-by-step explanation:

4.

Bags contain x and y numbers of marbles.

x + y > 100

The least number that is more than 100 is 101.

If x and y are both less than 51, then you have at most a total of 100 marbles.

To have 101 marbles, you must have one bag with at least 51 marbles, and the other bag with the rest. Neither bag must have at least 50 marbles. You can have 1 and 100, but that is still more than 50 marbles in one bag.

6.

You are looking for 12 books in the same language. Let's say you start by picking all 10 French books and all 8 German books. You are up to 18 books. There are no more French or German books, so you can't get to 12 books in one language with those. Now you pick 11 Spanish books, 11 Russian books, and 11 Italian books. That is another 33 books, and still no 12 books in one language. You already picked 18 books + 33 books = 51 books. The very next book must be a Spanish book or a Russian book or an Italian book, and it will make the 12th book of that language. You need to pick 52 books to be sure you have 12 of the a single language.

Answer: 52 books

7.

You need enough jokes to have 12 different combinations of 3. This is a case in which order does not matter.

If you have 3 jokes, named A, B, and C, you only have enough for 1 year, since ABC, ACB, BAC, BCA, CAB, and CBA are all the same triple of jokes.

This is a combination problem.

nCk = (n!)/[k!(n - k)!]

We know we need more than 3 jokes. Let's try 4.

n = 4

nCk = (4!)/[3!(4 - 3)!]

nCk = 4

We need 12, so 4 is not enogh.

n = 5

nCk = (5!)/[3!(5 - 3)!]

= 5 * 4/2

= 10

Now enough.

Try n = 6

nCk = (6!)/[3!(6 - 3)!]

= 20

With 6 different jokes, you can make 20 different triplets, so there is no need to repeat any triplet in 12 years.

Answer: 6 jokes

Answer:

$10.10

Step-by-step explanation:

We are told that she bought 3 CDs of the same price. Her total was $34.20 with $3.90 tax. We want to find the price of a CD before tax.

Since we are finding the price before tax, we need to subtract the tax from the total.

total - tax

We know she paid $34.20 with the tax of $3.90

$34.20 - $3.90

Subtract

$30.30

The total before tax was $30.30

Now we must find the price of a CD. Each CD is the exact same price, and she bought 3. Therefore, we can divide the total before tax ($30.30) by 3.

$30.30 / 3

Divide

$10.10

Each CD costs $10.10 before tax.

Answer:

10.1 $

Step-by-step explanation:

The total price Lella paid was 34.20 $ wich includes the Cd's price and the taxes

The taxes value is 3.9 $

So we need to substract 3.9 $ from 34.20 $ to get the price of the Cds

34.20 -3.9 = 30.3

The total price of the cds is 30.3 $

There are 3 cds with the same price

To get the price of each Cd divife the total of cds by 3

30.3÷3 = 10.1

The price of 1 cd is 10.1$

Answer: 240

Step-by-step explanation:

5/6x=200

(6/5)5/6x=200(6/5)

1x=40(6/1)

x=40(6)

x=240

Answer:

$ 7.50

Step-by-step explanation:

The cost of the picnic cooler would be 100%.

With the 6% sales tax, Anton would pay 106% of the cost if the picnic cooler.

(since 100% +6%= 106%)

106%(picnic cooler)= $7.95

Cost of picnic cooler= 100%(picnic cooler).

Cost of picnic cooler

[tex] = \frac{7.95}{106} \times 100 \\ = 7.50[/tex]

Thus, he paid $7.50 for the cooler alone.

Answer:

1/2

Step-by-step explanation:

There are four spots in total in the circle. Two of them are blue. Therefore, the probability of it lading on blue is 2/4, which simplifies to 1/2. Hope this helped.

Answer:

1.5 meters

Step-by-step explanation:

We know that the sum of all of the data in a set = average * number of data.

Therefore, the sum of the first 10 is 1.5 * 10 = 15 meters, the sum of the second 10 is 1.48 * 10 = 14.8 meters and the sum of the last 2 is 1.6 * 2 = 3.2 meters for a total of 15 + 14.8 + 3.2 = 33 meters. This means that the mean is 33 / 22 = 1.5 meters.

Answer:

Hey there!

We have the average is: [tex]\frac{10(1.5)+10(1.48)+2(1.6)}{22}[/tex]

This can be simplified to: 33/22, or 1.5

Thus, the mean height on the team is 1.5 m.

Hope this helps :)

Answer:

78.5

Step-by-step explanation:

It is 78.5 because you first get the area of the circle, which is 314. Then divide 314 by 4 to get 78.5

The area of 1/4 of a circle with a radius of 10 is 78.5 units²

Given,

1/4 of a circle.

Radius = 10

π = 3.14

We need to find the area of 1/4 of a circle.

It is given as:

Area = πr²

Find the area of 1/4 of a circle.

We have,

Area of a circle = πr²

Radius = 10

1/4 area of a circle:

= 1/4 x πr²

= 1/4 x 3.14 x 10²

= 1/4 x 3.14 x 100

= 78.5 units²

Thus the area of 1/4 of a circle is 78.5 units²

Learn more about finding the circumference and area of a circle here:

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Answer:

[tex]6x^2 -x - 1[/tex]

By degree: Quadratic

By number of terms: Trinomial

[tex]3x + 4[/tex]

By degree: Linear

By number of terms: Binomial

[tex]2[/tex]

By degree: Constant

By number of terms: Monomial

Step-by-step explanation:

Given

[tex](x - \frac{1}{2})(6x + 2)[/tex]

[tex](7x^2 + 3x) -\frac{1}{3}(21x^2 - 12)[/tex]

[tex]4(5x^2-9x+7)+2(-10x^2+18x-13)[/tex]

Required

Simplify and categorize the result based on their degree and number of terms

Simplifying [tex](x - \frac{1}{2})(6x + 2)[/tex]

[tex]x(6x + 2) - \frac{1}{2}(6x + 2)[/tex]

Open bracket

[tex]6x^2 + 2x - 3x - 1[/tex]

[tex]6x^2 -x - 1[/tex]

By degree: Quadratic

By number of terms: Trinomial

Simplifying [tex](7x^2 + 3x) -\frac{1}{3}(21x^2 - 12)[/tex]

Open bracket

[tex]7x^2 + 3x -\frac{1}{3} * 21x^2 -\frac{1}{3}*- 12[/tex]

[tex]7x^2 + 3x -7x^2 + 4[/tex]

Collect like terms

[tex]7x^2-7x^2 + 3x + 4[/tex]

[tex]3x + 4[/tex]

By degree: Linear

By number of terms: Binomial

Simplifying [tex]4(5x^2-9x+7)+2(-10x^2+18x-13)[/tex]

Open brackets

[tex]4*5x^2-4*9x+4*7+2*-10x^2+2*18x-2*13[/tex]

[tex]20x^2-36x+28-20x^2+36x-26[/tex]

Collect like terms

[tex]20x^2-20x^2-36x+36x+28-26[/tex]

[tex]2[/tex]

By degree: Constant

By number of terms: Monomial

Answer:

D

Step-by-step explanation:

We see that one corresponding angle and the hypotenuses of the right triangles are congruent so the answer is HA. (The H stands for hypotenuse and the A stands for angle.)

Answer:

[tex]\boxed{HA}[/tex]

Step-by-step explanation:

The theorem that verifies ΔHIJ ≅ ΔKLM is the HA (Hypotenuse-Angle Theorem) which shows that the hypotenuse and an acute angle are congruent to each other.

=> IJ ≅ LM (Hypotenuse)

=> ∠NIJ ≅ ∠KLM (Acute Angle)

Answer:

  B.  f(x) = x^2 -2

Step-by-step explanation:

The graph of f(x) is the graph of g(x) moved down 2 units, so is ...

  f(x) = g(x) -2

  f(x) = x^2 -2

_____

Adding a constant to the value of a function moves the graph vertically by the value of the added constant.

Answer:

2.25

Step-by-step explanation:

x/1 = (9+x)/5

9 + x = 5x

9 = 4x

x = 2.25

Answer:

x = 9/4

Step-by-step explanation:

We know that the triangles are similar

We can use ratios to solve

x          x+9

----- = ----------------

1            5

Using cross products

5x = 1(x+9)

5x = x+9

Subtract x

5x-x = x+9-x

4x= 9

Divide by 4

4x/4 = 9/4

x = 9/4

Answer:

c. (x-3) is not a factor.

Step-by-step explanation:

Answer:

  BC/BE = FG/FI

Step-by-step explanation:

Corresponding segments are proportional:

  BC/BE = FG/FI

Answer:

Your answer is A

Step-by-step explanation:

By using substitution method, we obtained the solution of equations (3, 3).

The given linear system of equations are 6x+3y=27 and 5x+2y=21.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Using substitution method we can solve given equations

6x+3y=27 can be written as 2x+y=9 ----------(I)

5x+2y=21 ----------(II)

From equation (I), we have y=9-2x

Substitute y=9-2x in equation (II), we get

5x+2(9-2x)=21

⇒ 5x+18-4x=21

⇒ x=21-18

⇒ x=3

Substitute x=3 in equation (I), we get

2(3)+y=9

⇒ y=3

Therefore, by using substitution method, we obtained the solution of equations (3, 3).

To learn more about the linear system of an equations visit:

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Answer:

16 lollipops

Step-by-step explanation:

4 is 1/4 so multiply 4 by 4

Answer:

Step-by-step explanation:

sec (-x)-sin (-x) tan (-x)=cos x

sec(x)-(-sin x)(-tan x)=cos x

1/cos x-sin x(sin x/cos x)=cos x

multiply by cos x

1-sin ²x=cos²x

or 1=sin²x+cos²x

which is true.

Answer:

Positive value of p = 1/2

Step-by-step explanation:

Given:

[tex]\sqrt{p^2}+1=\frac{5}{4}[/tex]

Find:

Positive value of p

Computation:

[tex]\sqrt{p^2}+1=\frac{5}{4}\\\\\sqrt{p^2}=\frac{5}{4}-1\\\\\sqrt{p^2}=\frac{5-4}{4}\\\\\sqrt{p^2}=\frac{1}{4}\\\\p = \frac{1}{2}[/tex]

Positive value of p = 1/2

Answer:

Step-by-step explanation:

[tex]3 \sqrt{54} - 4 \sqrt{24} [/tex]

Simplify the radical expression

[tex]3 \sqrt{2 \times 3 \times 3 \times 3} - 4 \sqrt{2 \times 2 \times 2 \times 3} [/tex]

[tex]3 \times 3 \sqrt{2 \times 3} - 4 \times 2 \sqrt{2 \times 3} [/tex]

[tex]9 \sqrt{6} - 8 \sqrt{6} [/tex]

collect the like terms

[tex]9 - 8 \sqrt{6} [/tex]

[tex]1 \sqrt{6} [/tex]

[tex] \sqrt{6} [/tex]

Hope this helps...

good luck on your assignment..

Answer:

[tex](a).\:\:\int _1^{-1}3f\left(x\right)dx\:=-12[/tex]   is the final answer.

Step-by-step explanation:

See the attachment below.

Best Regards!

Answer:

x = -3 is not a function because, for one thing, its graph does not pass the vertical line test.

Step-by-step explanation:

Answer:

Four books  because there are the most dots over that spot on the bottom number line thingy

Answer:

11915.8 when rounded up to the nearest tenth

Step-by-step explanation:

When you dived 12.1 by 50 to get the percent of people that fit this category, you get .242 or 24.2% you can use this number to figure out the precentage of employees who are woman by multiplying this number into 49,239 people to figure out what precent of people are woman

Hope this helps :D

Answer:

11915.8 when rounded up to the nearest tenth

Step-by-step explanation:

Answer:

3 1/3 times b

Step-by-step explanation:

= 3 1/3

Answer:

Hi there!!

The answer would be x=20 and y= 10 root 3 or on decimal it's 17.32.

explanation look in picture, alright.

I hope it will help u....

Answer:

x = 20

y = 10√3 or 17.3

Step-by-step explanation:

This is a special 30° 60° 90° right triangle

In this special triangle if the side length that sees 30° is represented by x and its given as 10 the side length that sees 90° would be twice of it so it's represented by 2x = 20 and the side length that sees 60° is x√3 = 10√3

Answer:

A: 3/4

Step-by-step explanation:

sine is the length of the opposite side / length the hypotenuse side

cosine is the length of the adjacent side / length the hypotenuse side

using what's given:

Tangent is the ratio between the opposite side length and the adjacent side length (opp/adj). With our givens, this means tan(A) = 3/4. See image for more.

Answer:

A

Step-by-step explanation:

Answer: 62/5

Step-by-step explanation:

You are given the following functions:

F(X) = x-2/5

g(X) = x-5

First find the inverse of the two functions.

To find inverse, first make f(x) and g(x) equal to y, interchange x and y and make y the subject of formula

F(x) = x - 2/5

Y = x - 2/5

Interchange y and x

X = y - 2/5

Make y the subject of formula

Y = x + 2/5

Therefore, f^-1(x) = x + 2/5 ..... (1)

Also,

g(x) = x - 5

Y = x - 5

X = y - 5

Make y the subject of formula

Y = x + 5

g^-1(x) = x + 5

To find g inverse of 7, substitute 7 for x in the above formula

g^-1(7) = 7 + 5 = 12

f inverse g inverse = 7 will be achieved by substitute 12 for x in the equation (1)

F^-1(12) = 12 + 2/5 = 62/5

Answer:Such sequences can be expressed in terms of the nth term of the sequence. In this case, the nth term = 2n. To find the 1st term, put n = 1 into the formula, to find the 4th term, replace the n's by 4's: 4th term = 2 × 4 = 8

Answer:

98

Step-by-step explanation:

Let's say the tens place is x and the ones place is y.

The tens place is one more than the one's place:

x = y + 1

Reversing the digits, plus the original number, is 187:

(10x + y) + (10y + x) = 187

11x + 11y = 187

x + y = 17

Substituting:

y + 1 + y = 17

2y = 16

y = 8

x = 9

The number is 98.

Answer:

[tex]\boxed{ \mathrm{y = \ negative \ 3 x + 3}}[/tex]

Step-by-step explanation:

The coordinates are (-6,0) and (-8,6)

Finding slope of the line

Slope = [tex]\frac{rise}{run} = \frac{y2-y1}{x2-x1}[/tex]

Slope = [tex]\frac{6-0}{-8+6}[/tex]

Slope =[tex]\frac{6}{-2}[/tex]

Slope = -3

Parallel lines have equal slopes.

So, the line which is parallel to this line is y = negative 3 x + 3

Answer:

[tex]\boxed{ \mathrm{y = \ negative \ 3 x + 3}}[/tex]

Step-by-step explanation:

The coordinates are given (-6, 0) and (-8, 6)

Find slope of the line.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{6-0}{-8--6}[/tex]

[tex]m=\frac{6}{-2}[/tex]

[tex]m=-3[/tex]

Parralel lines have same slope.

y = mx + b

m = -3

Answer

The points where the two bicycles meet after every 6hr at 30 miles and 54 miles.