Find the distance between the two points
(-1,1)
(2,-4)
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a. g(-2) = -4

g(-1) = 2

b. slope of g(x) on the interval = 2

Given,

a. g(x ) = f(2x)

g(-2) = 2(-2)

g(-2) = -4

g(1) = 2(1)

g(1) = 2

b. slope = g(b) -g(a)/b-a

g(0) = 2(0)

g(0)= 0

g(1) = 2(1)

g(1) = 2

therefore, g(1)-g(0)/1-0

slope = 2-0/1

slope = 2

hence we get the slope as 2.

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Answer:

the average score of local students on a collage entrance exam is 110

with standard deviation of 15. The distribution is roughly bell shaped . The percentage of local students with score between 0 and 125

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

4360+(4360(0.511)) Equals 6590 when rounded up

The correct answer is Absolute change: 2230 and Percentage change: 51.1%. So, correct option is A.

To calculate the absolute change and percentage change, we need to subtract the initial measurement from the final measurement and then calculate the percentage change relative to the initial measurement.

Given that the population of Placerville grew from 4360 a decade ago to 6590 today, we can calculate the absolute change as follows:

Absolute change = Final measurement - Initial measurement

Absolute change = 6590 - 4360

Absolute change = 2230

Therefore, the absolute change in population is 2230.

To calculate the percentage change, we divide the absolute change by the initial measurement and multiply by 100:

Percentage change = (Absolute change / Initial measurement) * 100

Percentage change = (2230 / 4360) * 100

Percentage change ≈ 51.1%

Hence, the correct answer is:

a. Absolute change: 2230

Percentage change: 51.1%

Therefore, option a is the correct choice.

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Answer:

Admin. tickets: 131

Teacher tickets: 218

Step-by-step explanation:

Let t = the number of teacher tickets

Let a = the number of admin tickets

t + a = 349

.6t + .9a = 248.70  teacher pay 60 cents and admin pays 90 cents.

Solve the first equations for t

t + a = 349

t = 349 -a  Substitute 349 - a for t into the second equation

.6(349 -a) + .9a = 248.70  I want to clear the decimal, so I will multiply through by 10

6 (349 - a) + 9a = 2487  Distribute the 6

6(349) - 6a + 9a = 2487

2094 - 6a + 9a = 2487  Combine like terms

2094 + 3a = 2487  Subtract 2094 from both sides

3a = 393  Divide both sides by 3

a = 131  This is the number of admin tickets purchases.

Plug 131 for a into either of the first two equations

t + a = 349

t + 131 = 349  Subtract 131 from both sides of the equations

t = 218

The purchase for teachers $130.8 and for administrators $117.9.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the number of teacher be x.

So, for Teacher after discount raffle tickets will be 0.60x

and, for administrators after discount raffle tickets will be 0.90(349-x)

Now, Total spent on raffle tickets=$248.70

248.70 = 314.1 - 0.9x + 0.6x

-65.4 = -0.3x

x= 218

Thus, for teachers $130.8 and for administrators $117.9

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The Venn diagram shown to IV, V, VI, VII regions are represent set C.

It is given that the wind diagram we need to find the regions represent the set.

See from the diagram it shows that the regions IV, V, VI, VII represent us, etc.

A Venn diagram is an illustration that uses circles to show the relationships among things or finite groups of things. Circles that overlap have a commonality while circles that do not overlap do not share those traits. Venn diagrams help to visually represent the similarities and differences between two concepts.

So from the Venn diagram, the set C represents the regions four, five, six and seven.

Therefore, she can be written us for Union Fight, Union Six, Union Seven. Therefore, we concluded that the regions represent see R. C.

Which is equal to for Union Fighting Union Six, Union Seven.

We have here, region represent C

C ⇒ Union from C

Here, IV, V, VI, VII these are lie on C.

So, IV, V, VI, VII represents C.

Therefore, the Venn diagram shown to regions represent set C is IV, V, VI, VII.

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If total catch means how many fish did he catch in total then...

1 trout every 3 catfish

caught 24 catfish, 24÷3 = 8

Sam caught 8 trout and 24 catfish

8 + 24 gives us a total fish count of 32.

Answer:

m<1 = 70 OR 290

m<2 = 35

Step-by-step explanation:

m<2

m<3 + m<2 = 90°

55° + m<2 = 90°

90° - 55° = m<2

m<2 = 35°

m<1

I'm not sure if it is asking for the reflex angle outside of the blue triangle or the acute angle on the inside so I'll do both

acute angle

The Blue triangle is an isosceles triangle so the two sides on the same line on the left hand side are equal

55°+55°+m<1=180°

110°+m<1=180°

(m<1=70°)

reflex angle

using the above working for the acute angle:

360°-70°=m<1

m<1 = 290°

------------------------------------------------------------------------------------------

Hope this helps! :)

- Riona

Answer:

the second one will be 30 points ig

Answer:

il def try me best!

Step-by-step explanation:

station x would cost abt 40 and station y would cost 40 to 25!

According to the question, there are two similar polygon images.

First similar polygon images whose pair coordinates are: (4,15) with (7,5). And the second image whose coordinates are: (13,4) and (14,15).

A closed form in a two-dimensional figure is a polygon. It has a flat, solid form, and all of its sides are attached to one another. In nature, sides need to be straight rather than curled. And the form is completely closed. It starts and ends at the same place. It is a plane form, meaning that only straight lines or line segments make up the shape.

Polygons include shapes like triangles, hexagons, pentagons, and quadrilaterals. The shape's number of sides is indicated by the name. For instance, a triangle has three sides, but a quadrilateral has four.

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Answer:

Step-by-step explanation:

7 units long

Step-by-step explanation:

We are given a right triangle ABC

AB = 25 units

BC = 24 units

We are required to determine the length of AC

We are going to use the Pythagoras theorem;

According to the theorem, if a and b are the legs of a right triangle and c is the hypotenuse, then;

a² + b² = c²

In this case;

AB is the hypotenuse and BC is one of the legs of the triangle;

Therefore;

AB² = BC²+AC²

Rearranging the formula;

AC² = AB² - BC²

      = 25² - 24²

      = 625 - 576

      = 49

AC = √49

Thus, AC is 7 units long

HOPE THIS HELPS :)

Answer: 10

Step-by-step explanation:

There are 16th term in sequence.

Answer:

CnA= {w, y}

Step-by-step explanation:

hope it helps

Answer:

0.8

Step-by-step explanation:

Answer:.9

Step-by-step explanation:

The number is 5.

Eight more than six times a number is the same as two less than 8 times the number.

Let

the number  = x

Therefore,

8 + 6x = 8x - 2

add 2 to both sides of the equation

8 + 6x = 8x - 2

8 + 2 + 6x = 8x - 2 + 2

10 + 6x = 8x

subtract 6x from both sides of the equation

10 + 6x = 8x

10 + 6x - 6x = 8x - 6x

10 = 2x

divide both sides by 2

x = 10 / 2

x = 5

Therefore, the number is 5.

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If  activity fee for an arts camp is $250. If the activity fee increases by 20% then $300 will be the new activity fee.

Percentage is a relative value indicating hundredth parts of any quantity.

Given activity fee for an arts camp is $250.

The activity fee increases by 20%.

We need to convert percent to decimal.

20%=20/100=0.2

We need to find what is 20% of $250.

So 0.2*250=50

So 50 is 20% of 250.

As activity fee increases by 20%  the new fee will be

$250+$50=$300.

Therefore $300 will be the new activity fee.

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our number can be written as 44/2 = 22, the quotient between two integers, thus, our number is rational.

A number is rational if it can be written as the quotient between two integer numbers.

In this case, we want to prove that the number 22 is rational, so we just need to find two integers that, when we take the quotient between them, the outcome is 22.

This is kinda trivial, if we take for example the product between 22 and any integer, for example, 2, we get:

22*2 = 44

Solving for 22 we get:

22 = 44/2

There is our number written as the quotient between two integers, thus, our number is rational.

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The statement that describes the meteor's motion will be A. Its velocity was 7.8 km/d northward.

It should be noted that based on the information given, the the meteors moving 468 km per minute

Also, the meteor was 45m wide from it.

Therefore, it should be noted that the reason that it wasn't visible was because it wasn't within it's range. This was illustrated as the fact that the velocity was 7.8 km/d northward.

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The compound interest is $2.5

What is Compound interest?

When you earn interest on both the money you've saved and the interest you earn, is called Compound interest.

Given that;

Principal amount = $1,000

Rate = .25%

Time = 1 year

Now,  Amount = P (1 + r)^t  

                      = 1,000 ( 1 + .25%)^1

                      = 1,002.5

And, Compound interest = P (1 + r)^t -  P

Now, Amount = 1,000 ( 1 + .25%)^1

                     = 1,002.5

Hence, Compound interest = 1,002.5 - 1,000

                                          = 2.5

So, The compound interest is $2.5.

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Answer:

15 strawberry arrangements, 5 pineapple arrangements

Step-by-step explanation:

First, you come up with an equation based on the problem:

3x+x=20

Then you simplify:

4x=20

Now you divide 20 by 4 to get the answer 5 FOR X

Still you have to find out the strawberry arrangements

Since it is three times, multiply 5 and 3 to get 15

5 strawberry arrangements, 5 pineapple arrangements

The letter at entry #123 will be S for the sequence C,S,S,S,S,S,C,S,S,S,S,S

The given sequence of letters is C,S,S,S,S,S,C,S,S,S,S,S

As per the given sequence, there are 12 letters in the sequence. To find the letter at #123 we continue the sequence till entry #120 or 10 iterations, the sequence will remain the same i.e C,S,S,S,S,S,C,S,S,S,S,S and then find the next 3 letters

So for entry #123, we will get the following value as per the sequence:

C,S,S

Hence, the letter at entry #123 will be S as per the given sequence of letters.

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The rate of interest compounded annually is 6.4 %.

Compound interest is the interest we earn on both principle and interest.

Nanuk in his savings account had 2000 euros which became 2545.10 in 4 years compounded annually.

Here, Amount(A) = 2545.10, Principle(P) = 2000, Time in years(n) = 4 and we have determine the rate of interest which is r.

We know, For compound interest A = P( 1 + r/100)ⁿ which is,

[tex](\frac{A}{P})^\frac{1}{n}[/tex] [tex]= ( 1 + \frac{r}{100})[/tex].

[tex](\frac{A}{P})^\frac{1}{n} - 1 = \frac{r}{100}[/tex].

[tex](\frac{2545.1}{2000})^\frac{1}{4} - 1 = \frac{r}{100}[/tex].

[tex](1.28)^\frac{1}{4} - 1 = \frac{r}{100}[/tex].

[tex]1.064 - 1 = \frac{r}{100}[/tex].

[tex]0.064 = \frac{r}{100}[/tex].

[tex]r = 6.4[/tex].

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3x3=6

6-2=4.

Thats the answer!!! yayayayayayayayaya

answer:

£11.25

explanation:

2.75+1=3.75 this was one third so you have to multiply 3.75 by 3 so you get 11.25.

The first table represents y as a function of x.

If a table represents a function, each of the x-values will have only one possible y-value that corresponds to it, however, two different x-values can have the same y-value.

All the tables, except the first table, have x-values that have more than one y-value assigned to it.

The first table have exactly one y-value that corresponds to each of the x-values. Therefore, the first table represents y as a function of x.

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The number line which represents the solution of the given absolute value inequality is |2x – 5| ≥ 3 is graph B : Points are at 1 and 4. Everything to the left of 1 and to the right of 4 is shaded.

An absolute value inequality is an equation of the form   |p| ≥ a or   |p| ≤ a

where p and are mathematical expressions.

Absolute rule for solving inequality: if |p| ≥ a then solution is  p ≤ (-a ) or

p ≥ a

Now for the given inequality  |2x – 5| ≥ 3 , applying above absolute rule we get :

(2x-5) ≤ -3   and (2x-5) ≥ 3

For 2x-5 ≤ -3

Adding 5 on sides we get:      2x-5+5 ≤-3+5

                                                         2x ≤ 2

On dividing both sides by 2:   (2x/2)   ≤ (2/2)

                                                       x    ≤ 1

which means that x are all number less than or equal to 1

On the number line, everything to left of 1 and point 1 on the number line

Now, For 2x-5 ≥ 3

Adding 5 on sides we get:      2x-5+5 ≥ 3+5

                                                         2x ≥ 8

On dividing both sides by 2:   (2x/2)   ≤ (8/2)

                                                      x    ≥ 4

which means that x are all numbers greater than or equal to 4

On the number line, everything to right of 4 and point 4 on the number line

Therefore, Graph B is the right answer which says that points are at 1 and 4 ,everything to the left of 1 and to the right of 4 is shaded.

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Answer:

2x² + 17x + 8

Step-by-step explanation:

Let's solve the problem,

→ (2x + 1)(x + 8)

→ 2x(x + 8) + 1(x + 8)

→ 2x² + 16x + x + 8

→ 2x² + 17x + 8

The answer is 2x² + 17x + 8.

Se necesita 43,200 adoquines para cubrir una calle de 180 metros de largo y 8 metros de ancho.

Cada adoquin cubre una porción del área total de la calle (A), en metros cuadrados, de modo que el total de adoquines es directamente proporcional al área de la calle. El área de la calle es igual al producto de su largo y su ancho, ambos en metros. El total requerido de adoquines se estima mediante regla de tres simple:

x / 24000 = [2 · 90 · 0.8 · 10] / [90 · 10]

x / 24000 = 1.8

x = 43200

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Answer:

8,620 (Scientific notation is 8.62*10^3)

Step-by-step explanation:

Question... isn't it just the real number?