(2x + 3y = 5
(2x + 4y = 6

The matched opposites are G and W.

what is number line ?

The visual representation of numbers on a straight line is called a number line. On an endless line that extends on both sides, either horizontally or vertically, this line is used to compare numbers that are spaced at equal intervals. The numbers on a horizontal number line grow as we approach towards the right side and drop as we move towards the left.

G = -6 and W = +6, they are opposite to each other.

This means, same number 6 with opposite signs + and -

Therefore, the answer is C) G and W

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If  your original purchase price was $825.00 plus 7% sales tax and  the interest is accrued from the date of purchase. The interest is $9.20.

First step is to find the monthly interest rate

Monthly interest rate =12.5% / 12

Monthly interest rate = 1.0417%

Second step is to find the total amount applied for credit

Total amount applied for credit=  $825+ ($825 × 7%)

Total amount applied for credit =$882.75

Now let find the interest

Interest = $882.75 x 1.0417%

Interest =$9.19

Interest = $9.20 (Approximately)

Therefore the interest is $9.20.

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Answer:

1. a late payment/missed fee

2. accrued interest

3. $9.20

4. $9.66

Hope This Helps!

Answer:

the answer I got is option number three i.e 4

The linear equation in general form to represent the given statement will be 5A + 3B = 553600.

How to form general equation?

Jose invested money in fund A at interest = 6%

Interest = (A * 5 * 1) / 100

Interest on fund A = A/20

Jose invested money in fund B at interest = 5%

Interest = (B * 6 * 1) / 100

Interest = 3B/100

Total interest he get = $5536

Interest on fund A + Interest on fund B = 5536

A/20 + 3B/100 = 5536

(5A + 3B)/100 = 5536

5A + 3B = 553600

Therefore, the linear equation in general form to represent the given statement will be 5A + 3B = 553600.

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The 21-centimeter radiation easily passes through the interstellar dust clouds that prevent optical measurements from being made deep inside the galactic center, enabling the charting of the galaxy's spiral structure.

Hydrogen line:

A change in the energy state of neutral hydrogen atoms results in the formation of the hydrogen line, also known as the 21 centimeter line, H I line, or H I line. Its frequency is exactly 1420 in this electromagnetic radiation.

The charting of the galaxy's spiral structure is made possible by the 21-centimeter radiation's ability to easily pass through the clouds of interstellar dust that prevent optical investigations deep inside the galactic center.

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Answer:

550

Step-by-step explanation:

The rabbit population in a certain area is 200 % of last​ year's population. There are 1,100 rabbits this year. How many were there last​ year?

200% is the same as twice the size of last year

1,100 / 2 = 550

Answer: 550

200% is double of a whole so its basically 2 so you just have to divide 1100 by 2.(I think im not super sure but I hope this is right)

The answer is 3x + 10.

The standard form of the given function (x + 1) (x + 3) (x - 4) is :

(x^3 -13x - 12) .

Here based on the given question,

We only want to expand the function and look up

f(x) = (x+1)(x+3)(x-4) in standard form.

We'll obtain:

f(x) = (x + 1)*(x + 3)*(x - 4)

f(x) = (x + 1)*(x^2 + 3*x - 4*x + 3*-4)

f(x) = (x + 1)*(x^2 - 1*x - 12)

f(x) = (x^3 + x^2 - x^2 - x - 12x - 12)

f(x) = (x^3 -13x - 12)

Using standard form, the function is:

f(x) = (x^3 -13x - 12)

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Answer:

3

Step-by-step explanation:

doin it now lol

Answer:

Amount of money Leanne will earn

= $14 × 15 subscriptions

= $210

Number of subscriptions Leanna sold last month

= $224 ÷ $14

= 16 subscriptions

Each person will get to eat 4 pieces of hoagies.

Division in maths is the process of breaking a number up into equal parts, and finding out how many equal parts can be made.

Here, at the Stanley Cup Party Maddie and Tony, they bought 12 hoagies and cut in the thirds which results in 36 pieces of hoagies.

Since, 9 people come to the Stanley party and hoagies have 34 pieces.

So each person will get the following pieces of hoagies

36/9=4.

Therefore, each person at Stanley party will get 4 pieces of hoagies.

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The 10th term of the series is 19.

Given series is an Arithmetic Progression (AP).

First term = a = 10

Difference = d = 11 -10

                        = 1

nth term = [tex]a_{n}[/tex] = a + (n-1)d

10th term = [tex]a_{10}[/tex] = 10 + (10 - 1)1

                        = 10 + 9*1

                        = 10 + 9

                        = 19

Hence, 10th term is 19.

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===================================================

Explanation:

Check out the diagram below.

I recommend getting graph paper for this problem.

Draw a box that is 5 units tall and 4 units across. There are 5*4 = 20 small squares inside this box. Each small square represents 1/20.

Shade two of the five rows to represent the fraction 2/5. This is the amount of butter we have. The 4 columns shows the butter divided into 4 equal pieces. Note how each column has 2 shaded squares out of 5 squares total. Since each small square represents 1/20, two such squares gets us 2/20 = 1/10 which is the amount of butter per dish.

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

Another approach would be to say

[tex]\frac{2}{5} \div 4 = \frac{2}{5} \times \frac{1}{4} = \frac{2*1}{5*4} = \frac{2}{20} = \frac{1}{10}[/tex]

Answer:

t = [tex]\frac{V-20}{5}[/tex]

Step-by-step explanation:

V = 5t + 20 ( subtract 20 from both sides )

V - 20 = 5t ( divide both sides by 5 )

[tex]\frac{V-20}{5}[/tex] = t

Answer: t = V/5 - 4

Step-by-step explanation:

V=5t+20

V-20=5t

V/5 - 20/5 = t

(V/5) -4=t

1. The x-intercept of the line is: 16

2. The y-intercept of the line is: 20

The x-intercept of a line is the value of x when the corresponding value of its y-coordinate is equal to 0.

On the other hand, y-intercept of a line is the value of x when its corresponding x-value is equal to zero.

Given the equation, 5x + 4y = 80, to find the x-intercept, substitute y = 0:

5x + 4(0) = 80

5x + 0 = 80

5x = 80

x = 80/5

x = 16

x-intercept is: 16

To find the y-intercept, substitute x = 0:

5(0) + 4y = 80

0 + 4y = 80

y = 20.

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The equation that shows that angles angles formed by the diagonals and sides of the rhombus is x + y = z

The diagonals of rhombus intersect each other at 90 degrees

z =  angle formed at the diagonal = 90

x and y angle sides of the rhombus

applying the sum of angles of a triangle property

z + x + y = 180

where z = 90

90 + x + y = 180

x + y = 180 - 90

x+ y = 90

therefore x + y = z

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Use a protractor it will help alot

Answer:

  (a)  (x -(7 +i))

Step-by-step explanation:

You want to know what must be a factor of f(x) if it has roots -9 and 7-i.

The complex roots of a polynomial with real coefficients are always found in conjugate pairs. Since 7-i is a root, its conjugate, 7+i, must also be a root. The corresponding factor is ...

  (x -(7 +i))

If 7-i is a root of f(x), then (x -(7+i)) must be a factor.

If a sample consists of 1900 scores from sample no. 476th will be above the first quartile.

The three main methods for identifying the average value of a set of integers are mean, median, and mode.

Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean.

The middle value in a list that is arranged from smallest to greatest is called the median.

The value that appears the most frequently on the list is the mode.

Given a sample consisting of 1900 scores.

∴ The no. of samples that would be above quartile is the next sample from (1/4)th of 1900 which is,

= (1/4)×1900 + 1.

= 475 + 1.

= 476.

So from sample no. 476th will be above the first quartile.

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The measure of the angles are (4x + 24)° = 52° and (6x - 10)° = 32°; The value of x =7°.

What is vertically opposite angles?

So, (4x + 24)° = (6x - 10)°

24° - 10° = 6x - 4x

2x = 14°

x = 14°/2

x = 7°

Substitute x in those values:

(4x + 24) = (4(7) + 24)°

= 28+24

= 52°

(6x - 10)° = (6(7) -10)

= 42° - 10°

= 32°

Hence, the measure of the angles are (4x + 24)° = 52° and (6x - 10)° = 32°;  The value of x =7°.

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Answer:

x = 7

Step-by-step explanation:

The measure of the angles are (4x + 24)° = 52° and (6x - 10)° = 32°; The value of x = 7°.

Answer:

Earned interest = 1281,23

Step-by-step explanation:

Let C = 9750 be the invested capital, and i = 2.5% be the annual compound interest, And C(5) the capital after 5 years :

we recall that the compound interest equation is written as :

C(n) = C * ( 1 + i ) ^ n
while n is the number of years, we can replace the values. Thus, we wil have :
C (5) = 9750 * ( 1 + 0.025 ) ^ 5
C (5) = 11031,23
So, the earned interest over 5 years is equal to 11031,23 - 9750 = 1281,23

The line joining R and R' is perpendicular to the line m therefore, the slop  is the negative inverse of the slope of the line m which is (-1/2)

11. The point R is at located at R'(6, -1)

Perpendicular lines are oriented at 90° to each other.

11. The image of a point (x, y) following a reflection is located directly vertical on the other side of the line.

The image of (x, y) after a reflection across the x-axis is (x, -y), the x-coordinate remains the same such that the line joining (x, y) and (x, -y), is perpendicular to the x-axis, which is the line of reflection.

Similarly, when R is reflected across the line m to produce the image, R', the segment [tex]\overline{RR'}[/tex] joining the preimage and the image of the reflection, will be perpendicular to the line m.

The slope of the line perpendicular to the line m, y = 2·x - 3 is -(1/2) which is -0.5

The slope of the segment [tex]\overline{RR'}[/tex] is -0.5

11. The coordinates of the point R is R(-2, 3)

The known slope of the line joining R and R' and the coordinates of the point R(-2, 3) indicates that the equation of the line on which the image is located is therefore;

y - 3 = (-0.5) × (x - (-2)) = -0.5·x -  1

y = -0.5·x -  1 + 3 = -0.5·x + 2

The point of intersection of the two lines is therefore;

-0.5·x + 2 = 2·x - 3

2.5·x = 5

x = 5/2.5 = 2

y = 2×2 - 3 = 1

The point of intersection is I(2, 1)

The change in the x and y-coordinate from I to R are;

Δx = 2 - (-2) = + 4

Δy = 1 - 3 = -2

The change for point R' are therefore;

Δx' = (2 + 4) = 6

Δy' = 1 - 2 = -1

The coordinates for R' is (6, -1)

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A function m(t)= m₀e^(-rt) that models the mass remaining after t years is; m(t) = 27e^(-0.00043t)

The amount of sample that will remain after 4000 years is; 4.8357 mg

The number of years that it will take for only 17 mg of the sample to remain is;  1076 years

A) Using the model for radioactive decay;

m(t)= m₀e^(-rt)

where;

m₀ is initial mass

r is rate of growth

t is time

Thus, we are given;

m₀ = 27 mg

r = (In 2)/1600 = -0.00043 which shows a decrease by 0.00043

and so we have;

m(t) = 27e^(-0.00043t)

c) The amount that will remain after 4000 years is;

m(4000) = 27e^(-0.00043 * 4000)

m(4000) = 27 * 0.1791

m(4000) = 4.8357 mg

d) For 17 mg to remain;

17 = 27e^(-0.00043 * t)

17/27 = e^(-0.00043 * t)

In(17/27) = -0.00043 * t

-0.4626/-0.00043 = t

t = 1076 years

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P(2 ≤ x ≤ 3)  = 0.55 , using probability distribution.

What do you mean by probability distribution?

A frequency distribution that has been idealised is a probability distribution.

An individual sample or dataset is described by its frequency distribution. It's the number of times in the dataset that each possible value of a variable appears.

The probability of occurrence of a value determines how frequently it appears in a sample.

A value will occur more frequently in a sample the higher its probability.

It is given that discrete random variable has a distribution of

P(x = 1) = 0.15, P(x = 2) = 0.39, P(x = 3) = 0.16, P(x = 4) = 0.30

For P(2 ≤ x ≤ 3) = P(2) + P(3) = 0.39 + 0.16 = 0.55

Therefore, P(2 ≤ x ≤ 3)  = 0.55

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The inverse function is [tex]f^-^1(x) = \frac{Inx}{In10}[/tex] and Domain (0, infinity) and Range is (-infinity , infinity).

Given,

In the question:

The inverse function f(x) = [tex]10^x[/tex]

To find the inverse function:

Now, According to the question;

f(x) = [tex]10^x[/tex]

Rewrite the function using y

y = [tex]10^x[/tex]

Interchange the position of x and y in the function

x = [tex]10^y[/tex]

Isolate the dependent variable

y = [tex]\frac{Inx}{In10}[/tex]

Find the inverse function

[tex]f^-^1(x) = \frac{Inx}{In10}[/tex]

Hence, The inverse function is [tex]f^-^1(x) = \frac{Inx}{In10}[/tex] and Domain (0, infinity) and Range is (-infinity , infinity).

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Answer:

x = - 1

Step-by-step explanation:

given a parabola in standard form

ax² + bx + c ( a ≠ 0 )

then the vertical axis of symmetry is

x = - [tex]\frac{b}{2a}[/tex]

x² + 2x - 8 ← is in standard form

with a = 1, b = 2 , then

x = - [tex]\frac{2}{2}[/tex] = - 1

equation of axis of symmetry is x = - 1

The required sale for the year is given as $833,333.34.

Given that,
A real estate agent makes an annual salary of $25,000 plus 3% commission on sales. She wants to make at least $50,000 per year.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Let the sales be x,
according to the question,
25000 + 0.03x = 50000
0.03x = 25000
x = 25000/0.03
x = $833,333.34

Thus, the required sale for the year is given as $833,333.34.

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Line 1 and Line 2 are parallel because they have the same slope.

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

Two lines are parallel if the slopes are the same.

The equation of line 1 is  y = 5x + 1

The slope of Line 1 is 5.

Let's find the slope of Line 2 using the equation.

2y - 10x + 3 = 0

Let's represent the equation in slope intercept form to locate the slope easily.

2y - 10x + 3 = 0

2y = 10x - 3

y = 10 / 2 x  - 3 / 2

y = 5x - 3 / 2

The slope of line 2 is 5

Therefore, Line 1 and Line 2 are parallel.

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Answer:

Angle x = 113 degrees

Angle y = 67 degrees

Step-by-step explanation:

First, off you can eliminate the 200 degrees, because the maximum degrees is only 180 degrees. Then 23 and 11 are way to small of angles to look like what x and y look like, and 113 and 67 look much better than the other angles.

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