Which function represents g(x), a reflection of f(x) = 6
H
across the y-axis?
) = −6(-3)*
O g(x) =
©_g(x) = −6[³]*
O g(x) = 6(3)*
O g(x) = 6(3)*

The account balance after 10 years is $7200.

It should be noted that simple interest is calculated as:

= (Principal × Rate × Time) / 100

= ($3000 × 1.4 × 10) / 100

= $4200

The total amount that will be in the account will be:

= Principal + Interest

= $3000 + $4200

= $7200

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Answer: you did not put in the full equation but i got this right out of the box.

ˉx 28

r 0.82

Answer:

Step-by-step explanation:

Assume the cost for a cup of coffee is x and the cost for a cup of tea is y.

For Alex: 4x+3y=6.95

For Ben 5x+2y=7.20

Then multiply Alex's cost by 2 and Ben's by 3 to cancel y.

8x+6y=13.90

15x+6y=21.60

Equation 2 minus equation 1 would be

15x+6y-(8x+6y)=15x+6y-8x-6y=7x

21.60-13.90=7.70

7x=7.70

Then x=1.10 and plugging it one of the equations,

y= 0.85

A cup of coffee costs 1.10 pounds and A cup of tea is 0.85 pounds

:)

Given system has no solution.

The correct answer is an option (D)

In this question, we have been given the graph of system of equations.

The solution of given system is the point of intersection of all lines.

We can observe that the graph of any two lines intersected at points (2, -1), (-2, 3) and (0, 3)

But there is no common point of intersection for given system.

This means, the system has no solution.

Therefore, the given system has no solution.

The correct answer is an option (D)

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The expression equivalent to the expression -90 - 60w is -30(3 + 2w),  (-9 - 6w)10 and  -20(4.5 + 3w)

We need to find the expressions that are equivalent to given expression

We solve the expression and check,

A) -30(3 + 2w)

-90 - 60w

Yes it is equivalent.

B) (-9 - 6w)10

-90 - 60w

Yes it is equivalent.

C) -3(30 - 20w)

-90 + 60w

No it is not equivalent.

D)(6 + 4w)15

90 + 60w

No it is not equivalent.

E) -20(4.5 + 3w)

-90 - 60w

Yes it is equivalent.

Therefore, The expression equivalent to the expression -90 - 60w is -30(3 + 2w),  (-9 - 6w)10 and  -20(4.5 + 3w)

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Evaluated expression of the given mathematical expression is (9+2gh+5g)/g.

Given the mathematical expression is 9/g + 2h + 5.

So, now the LCM (g,1,1) = g

So evaluating the given expression we get,

9/g + 2h + 5 = (9+2gh+5g)/g

Hence the evaluated expression is (9+2gh+5g)/g .

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Hi again! The equation to the function would be..

y = 1/2x + 1 (assuming that the initial value is one)

The length of each side of the playground is 150 feet.

From the question, we are to determine the length of each side of the playground.

From the given information,

The perimeter of a square is given by the formula,

P = 4l

Where P is the perimeter of the square

and l is the length of a side of the square

"The playground at DeVille Elementary School is square-shaped, and has a perimeter of 600 feet."

That is,

P = 600 feet

Now, we will determine the value of l

Substitute the value of P into the equation

P = 4l

600 = 4l

Divide both sides by 4

600/4 = 4l/4

150 = l

Therefore,

l = 150 feet

Hence, the length is 150 feet

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Answer:

6 video games

Step-by-step explanation:

We can solve this question with an algebraic equation.

29.95x + 5.95 = 185.65

29.95x + 5.95 - 5.95 = 185.65 - 5.95

29.95x ÷ 29.95 = 179.7 ÷ 29.95

x = 6

Answer: Both p and q are 8cm long.

Step-by-step explanation:

BE created a similar triangle that is exactly half of the larger triangle.

So if BE is 4 and AE is 8 then we know that CD is 8 and AD is 16.

However we only need segment q which is half of AD so the answer is:

p=8 and q=8

;)

The area of the square is (x²/2) square units.

We are given a square. The length of the diagonal of the square is x units. We have to find the area of the square in terms of "x".

Let the side of the square be denoted by the variable "s". We will use the Pythagorean theorem to find the length of the side of the square.

s² + s² = x²

2s² = x²

s² = x²/2

s = √(x²/2)

s = (x/√2)

The area of the square is given by the square of the side length. Let the area of the square be denoted by the variable "A".

A = s²

A = (x/√2)²

A = x²/2

Hence, the area of the square is (x²/2) square units.

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Answer: 7.6

Step-by-step explanation:

19÷100×40 which will give you 7.6

Answer:

though the answers are scattered but I worked them all , just patiently study it.

Coordinate rule for the composition is w(-1,-2) → s(-1-1,-2-4) → s(-2,-4) , x(-2,0) → t(-2+0,0+2) → t(-2,2), y(1,2) → u(1+1,2+2) → u(2,4) , z(1,-1) → v(1+3,-1+1) → v(4,0).

Given:

w x y x has vertices w(-1,-2) , x(-2,0), y(1,2) and z(1,-1).

s t u v has vertices s(-2,-4) , t(-2,2) , u(2,4) and v(4,0).

The coordinate rule for transformation is:

w(-1,-2) → s(-1-1,-2-4) → s(-2,-4)

x(-2,0) → t(-2+0,0+2) → t(-2,2)

y(1,2) → u(1+1,2+2) → u(2,4)

z(1,-1) → v(1+3,-1+1) → v(4,0)

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The area of the regular pentagon with sides of 7 cm is 84.30 cm²

The area of a regular pentagon can be determined if the side length (s) is given. The formula used for calculating the area of a regular pentagon is:

[tex]A = \frac{1}{4}\sqrt{5(5+2\sqrt{5})}s^{2}[/tex]

Given: side length (s) = 7 cm

Area (A) = 1/4×√( 5(5+2√5) ×7²  = 84.30 cm²

Therefore, the area of the pentagon is 84.30 cm²

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The following are the answers:

a) 7 / (2a)³

b) 1/(4m)³ + 10³

c) (5a)³ - (4b)³

d) 1/(3x)³ + 1/(5y)³

e) (0.5x - 0.6y)²

f) (-a - 0.3)²

g) ((3/4)²a² + (2/3)²a)²

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

a)

(8 - 1) / 8a^3

= 7 / (2a)³

b)

1/64m^3 + 1000

= 1/(4m)³ + 10³

c)

125a^3 - 64b^3

= (5a)³ - (4b)³

d)

1/27x^3 + 1/125y^3

= 1/(3x)³ + 1/(5y)³

Now,

Polynomial is an expression of writing with more than one term.

We will write it in the form of:

(a + b)² = a² + 2ab + b²

(a - b)² = a² - 2ab + b²

e)

0.25x^2 - 0.6xy + 0.36y^2

= (0.5x)² - 2 x 0.5 x 0.6 + (0.6y)²

= (0.5x - 0.6y)²

f)

-a^2 + 0.6a - 0.09

-a² - 2 x (-a) x 0.3 - (0.3)²

= (-a - 0.3)²

g)

9/16a^4 + a^3 + 4/9a^2

((3/4)²a²)² + 2 x (3/4)²a² x (2/3)²a + ((2/3)²a)²

= ((3/4)²a² + (2/3)²a)²

Thus,

The following are the answers:

a) 7 / (2a)³

b) 1/(4m)³ + 10³

c) (5a)³ - (4b)³

d) 1/(3x)³ + 1/(5y)³

e) (0.5x - 0.6y)²

f) (-a - 0.3)²

g) ((3/4)²a² + (2/3)²a)²

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Answer:

38 songs in each group.

Step-by-step explanation:

Alexander has 418 songs on his MP3 player. he divides the songs into 11 equal groups. About how many songs are in each group. (round the numbers)

418/11 = 38 songs in each group.

Answer:
x = 48/3

when Jack got 50 chocolates and has left 2, then Jack gave away 50-2=48 chocolates. When each friend got 3 chocolates, the number of friends x is equal to 48 divided by 3.

The amount of money that would be in the account after 9 years, giving the interest rate and the amount invested is $23, 777.52

The amount in the account after 9 years is called the future value of the amount that Serenity invested.

To find this future value, you use the future value formula which is:

= Amount invested x ( 1 + interest rate) ^ number of years

The amount in the account after 9 years would therefore be:

= 16, 000 x ( 1 + 4.5%) ⁹

= $23777.52224662808994653125

= $23, 777.52

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Richard earned a cumulative GPA of 2.5 in all four semesters.

Here, we know that the cumulative GPA for the first 3 semesters is 2.0

He had earned 42 credits in total in all three semesters.

Cumulative GPA = Total points earned/credits rewarded

Hence,

Total points earned in 3 semestes= 2 X 42

= 84 points

In the fourth semester,

he had earned 14 credits with a GPA of 4.0

Hence total points earned = 4 X 14

= 56 points

Therefore, total points earned in all four semesters = 84 + 56 points

140 points

Total credits = 14 + 42

= 56

Hence, the cumulative GPA of all 4 semesters

= 140/56

= 2.5 points.

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Answer:

Step-by-step explanation:

Hi,  you are studying trigonometry :P  nice  

conterminal means stopping at the same place, right?  sooo what is the same place for 659°  compared to our only once around the circle of 360°   since 720° is twice around a circle our 659° is less than that so just subtract 360° from 659° to get the co-terminal angle.

659-360=299°

299° is the co-terminal angle

270 is the line between the 3rd and 4th quadrant,  so this is definitely in the 4th quadrant.

let's just count backwards (CW) from zero degrees till we get to our 299° angle going in the forward (CCW) direction.    so 299-360= -61°

the reference angle is 61°

Does all of this make sense?  :/  

The amount that the salesman pay the manufacturer for the computer is $20800.

From the information, the salesman sold the computer for $15600 making a loss of 25%.

The amount that the salesman pay the manufacturer for the computer will be illustrated thus:

Since a 25% loss was made, the cost price will be: = 100% + 25% = 75%

Therefore, the cost price will be:

= Sales price / 125%

= $15600 / 0.75

= $20800

The amount is $20800.

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a) An equation that models the amount of storage as a function of the number of songs is y = -0.005x + 16

b)  Slope of the equation is -0.005 and the intercept of the equation is 16

Slope intercept form

Slope intercept form presents the graph of a straight line and is represented in the form of

y = mx + c.

where

y = y coordinate

m = slope

x = x coordinate

b = y intercept

Given,

Here we have the  table shows the amount of storage y (in gigabytes) on a music-playing device when there are x songs on the device

Now, we have to find the following:

a) Equation of the table

b) Slope and intercept.

In order to find the equation, we have to identify the slope an intercept of the table.

So, to find that we have to take two points from the table.

Then the selected points are

(0, 16), (242, 14.8)

By using these point we have to calculate the slope as,

m = (14.8 - 16) / (242 - 0)

m = -1.2/242

m = -0.005

Now, the intercept is calculated by using the point (0, 16) and the slope -0.005, then we get,

16 = -0.005(0) + c

c = 16

Therefore, the equation is y = -0.005x + 16.

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The equation of the line in point slope form is as follows:

Linear equation can be represented in different form such as point slope form, slope intercept form, standard form and general form.

Therefore, equation in point slope form can be represented as follows:

y - y₁ = m(x - x₁)

where

Therefore, let's find the point slope form of the lines.

1) through: (5, 4) and (-2, 5)

m = 5 - 4 / -2 - 5

m = 1 /- 7 = - 1 / 7

Therefore,

y - 4 = - 1 / 7(x - 5)

2) through: (4, -5) and (0, 2)

m = 2 + 5 / 0 - 4

m = 7 / -4 = - 7 / 4

Therefore,

y + 5 = - 7 / 4(x - 4)

3) through: (0, 4) and (2, 1)

m = 1 - 4 / 2 - 0

m = - 3/ 2

Therefore,

y - 4 = - 3 / 2(x - 0)

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The value of x for the given triangle is 4.5

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of all three angles of a triangle is always 180°

In the given triangle ABC,

∠A=(9x+16)°, ∠B=(6x+15)°

And the extrior angle ∠C=(19x+3)°

Use the external angle property,

The sum of two interior angles is equal to an exterior angle.

Therefor,

∠C=∠A+∠B

(19x+3)°=(9x+16)°+(6x+5)°

19x+3=15x+21

4x=18

x=4.5

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Answer: (3x-2)(3x+2)

I knew the answer it was just hard to explain all of it. Sorry if this doesn't help