Evaluating Linear Functions

The values of x and y in the Simultaneous equation are 4 and 30 respectively

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. For example, below are some simultaneous equations: 2x + 4y = 14 and 4x − 4y = 4.

y = -5x + 50 equation 1

y = 5x+ 10 equation 2

subtract equation 1 from 2

5x-(-5x) +10-50 = 0

10x -40 = 0

10x = 40

x = 40/10

x = 4

substitute 4 for x in equation 2

y = 5(4)+10

y = 20+10

y = 30

Therefore the value of x and y are 4 and 30 respectively

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Answer: Tina curled an 8 inch by 10 inch rectangular piece of paper along one of its sides to form an open cylinder with a height of 10 inches

Brainliest or a thank you please ! :))

The car's speed in kilometers per minute is 1.01667. And the number of kilometers will the car travel in 20 minutes will be 20.33 kilometers.

Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.

We know that the speed formula

Speed = Distance/Time

A car is traveling at a speed of 61 kilometers per hour.

Convert the speed into a kilometer per minute. Then we have

Speed = 61 / 60

Speed = 1.01667 kilometers per minute

Then the number of kilometers will the car travel in 20 minutes will be given as,

1.01667 = d / 20

d = 1.01667 x 20

d = 20.33 kilometers

The car's speed in kilometers per minute is 1.01667. And the number of kilometers will the car travel in 20 minutes will be 20.33 kilometers.

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Answer: 4.5 jelly beans

Step-by-step explanation: 3.00$ x 5 = 15.00$ x (2$) = 23.00$

The slopes of function 1 and function 2 are respectively; -4 and 2. Thus, function 1 has a negative slope

The slope is simply defined as the change in the y-values divided by corresponding change in x-values.

1) Now, the formula for the slope between two coordinates is;

Slope = (y₂ - y₁)/(x₂ - x₁)

Let us take two coordinates from the table as;

(0, 50) and (1, 46). Thus;

Slope = (46 - 50)/(1 - 0)

Slope = -4

2) The general equation for equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Now, we are given the equation as;

c = 2d + 10

Comparing to the standard form, we have;

Slope = 2

Thus, function 1 has a negative slope

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Answer:

13

Step-by-step explanation:

Just In case you want explanation-

1. 4 squared Meaning 4 x 4 = 16

2. 16 x 6 = 96

3x 6 = 18

96- 18 = 78

in the denominator, 25/ 5 = 5

11 minus 5 = 6

78 divided by 6

it gives you 13

Answer:

13

Step-by-step explanation:

Order of operations:

Parenthesis, exponents, multiplication and division, addition and subtraction

Answer:

Hello! answer: 11

Step-by-step explanation:

these are vertical angles meaning they Will equal the same measure so... 10 × 11 = 110 110 + 50 = 160 therefore x = 11 HOPE THAT HELPS!

Answer:

K = 180 - 45 = 135

J = 180  - 92 =88

Step-by-step explanation:

K = 180 - 45 = 135

J = 180  - 92 =88

The inequality representing p, the number of people who can go to the amusement park, is given as follows:

10.5p + 16.5 ≤ 90.

The inequality for this problem is build considering the linear cost function, defined in slope-intercept format as follows:

C(p) = mp + b.

In which the parameters are given as follows:

Parking is $16.50, and tickets cost $10.50 per person, hence the numeric values of the slope and the intercept are given as follows:

m = 10.50, b = 16.50.

Thus the cost function is given as follows:

C(p) = 10.5p + 16.5.

They have no more than $90 to spend on parking and admission, hence the inequality is defined as follows:

C(p) ≤ 90.

10.5p + 16.5 ≤ 90.

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In word variation, we can write as;

⇒ In the equation, A = C + Kx, if K is a nonzero constant and C = 0, then you have the function A = Kx, which is called a direct variation.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

The equation is,

⇒ A = C + Kx

Now, We know that;

The direct variation is of the form of y = kx.

Here, The equation is,

⇒ A = C + Kx

Hence, Its words variation is written as;

In the equation, A = C + Kx,

if K is a nonzero constant and C = 0, then you have the function A = Kx, which is called a direct variation.

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Answer:

√124

Step-by-step explanation:

a^2+b^2=c^2

x^2+101= 225

x^2= 225-101

x^2= √124

Answer:

so i will be honest I've done this before and it may be 64 or 120

Step-by-step explanation:

It may be one of these answers I'm doing as much as I can to help

A recursive formula for the sequence is:  f(n+1) = f(n)-99.4, n ≥ 1

Consider the given sequence.

99.4, 0, -99.4, -198.8, . . .

We can observe that each next term of the sequence is decreased by -99.4

i.e., f(0) = 99.4

f(1) = f(0) - 99.4

f(1) = 99.4 - 99.4

f(1) = 0

f(2) = f(1) - 99.4

f(2) = 0 - 99.4

f(2) = -99.4

From these calculations we can say that the n-th term would be,

f(n) = f(n - 1) - 99.4

Therefore, recursive formula:  f(n+1) = f(n) - 99.4

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Answer: 347

Step-by-step explanation:

Answer:

y = -3x + 12.96

y = [tex]\frac{-4}{3}[/tex] x + 11.31

Step-by-step explanation:

6x + 2y = 25.92  Subtract 6x from both sides

2y = -6x + 25.92  Divide all the way through by 2

y = -3x + 12.96

4x + 3y = 33.93  Subtract 4x from both sides

3y = -4x + 33.93  Divide all the way through by 3

y = [tex]\frac{-4}{3}[/tex] x + 11.31

4366 softballs will fit inside of a storage.

What is volume ?

A measurement of three-dimensional space is volume. It is frequently expressed quantitatively using SI-derived units, as well as several imperial or US-standard units. Volume and the notion of length are connected.

The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

The basic formula for volume is length, breadth, and height, as opposed to length, width, and height for the area of a rectangular shape. The calculation is unaffected by how you refer to the various dimensions; for instance, you can use "depth" instead of "height."

Diameter of softball = 8.3 in

Radius of softball = 4.15 in

                              = 0.345 ft

Volume of sphere = 4/3 π r³

                = 4/3 π (0.345)³

                = 4/3 * 0.1289

                = 0.1718

Volume of cuboid = l * b * h

                              = 15 * 10 * 5

                              = 750

Number of softballs that can fit inside the storage = 750 / 0.1718

                                                                      = 4366

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Yes, the lines intersect at the point (5, -2) so it is the solution to the system.

Now, According to the question:

Let's know:

Solution to a System of Linear Equations:-

A system of linear equations consists of the equations of two lines. The solution to a system of linear equations is the point which lies on both lines. In other words, the solution is the point where the two lines intersect. To verify whether a point is a solution to a system or not, we will either determine whether it is the point of intersection of two lines on a graph or we will determine whether or not the point lies on both lines algebraically.

Let's determine whether the given points are a solution to the systems of equations below.

Is the point (5, -2) the solution of the system of linear equations shown in the graph below?

Yes, the lines intersect at the point (5, -2) so it is the solution to the system.

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Answer:

C. 9

Step-by-step explanation:

3 sock options, 3 shoe options for each of those sock options.

3 x 3 = 9

Solving provided question, we can say that by arithmetic progression number of rows Dodie's plot has, n ≈ 7.3965

The difference between succeeding terms in a sequence is always the same, and this is known as an arithmetic progression. An arithmetic progression with a tolerance of 2 is, for instance, the sequence 5, 7, 9, 11, 13, and 15. The term "arithmetic progression" (A.P.) refers to a progression with a fixed tolerance between any two consecutive values. Mathematic progression can be of two different types: arithmetic series with finite length A series with a finite amount of terms is a finite geometric progression. The terms in the series can be used to determine the early, late, tolerance, and number of terms.

d = 6 is the difference between subsequent rows.

The value increased to a = 1 at the top vertex.

Consequently, the garden's roses represent a mathematical progression.

A = 1 is the first phrase.

d = 6 is the common difference.

The sum of the n terms in an arithmetic progression,, is what determines how many rows Bill's plot will contain.

When Sₙ = 150, we get;

150 = 3·n² - 2·n

3·n² - 2·n - 150 = 0

number of rows Dodie's plot has, n = 7.3965

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Answer: To convert 20% profit into a profit amount, you would multiply 20% by the revenue or cost of the item or service.

Let's say,

You have revenue of $1000

So,

20/100 * 1000 = $200

So the 20% profit on the revenue of $1000 is $200.

It's important to note that profit is the amount of money you make after you subtract your costs from your revenue. It's the amount you have left after all the expenses, taxes and other deductions are made.

Step-by-step explanation:

function f(x) = 75 - 4.5 w.

where w = number of weeks.

this question is related to function and solution is as follows,

The owner of a mall Restaurant bought rice = 75 kg

Each week, the restaurant use rice = 4. 5 kg

so we have to make an equation of function by which we can find out the remaining rice after w number of weeks,

f(x) = 75 - 4.5 w

where ,w = number of weeks

example, find out rice after 6 weeks

number of weeks (w) = 6

put it in the function,

f(x) = 75 - 4.5(6)

f(x) = 75 - 27

f(x) = 48.

so the function is ,f(x) = 75 - 4.5 w.

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Answer: [tex]\frac{1}{96}[/tex]

Step-by-step explanation:

([tex]\frac{1}{8}[/tex])/12

Divide the fraction [tex]\frac{1}{8}[/tex] by 12. This is because we need to split the sugar between 12 brownies, and to split something means to divide it. Use the switch, flip and multiply method.

I inserted an image on how to use this method.

Anyway, to use this method, we need 2 fractions, so instead of 12, we have to use [tex]\frac{12}{1}[/tex].

[tex]\frac{1}{8}/\frac{12}{1}[/tex]

= [tex]\frac{1}{8}[/tex] × [tex]\frac{1}{12}[/tex]      Multiply the denominators and numerators

= [tex]\frac{1}{96}[/tex]

Answer:

[tex]y-2=-\frac{1}{2}(x-3)[/tex]

Step-by-step explanation:

[tex]x+2y=5 \\ \\ 2y=-x+5 \\ \\ y=-\frac{1}{2}x+\frac{5}{2}[/tex]

The slope of the given line is [tex]-\frac{1}{2}[/tex].

This means the slope of any line parallel to the given line is also [tex]-\frac{1}{2}[/tex].

Using point-slope form, the equation is [tex]y-2=-\frac{1}{2}(x-3)[/tex].

There are three solutions to the congruence x+13=55 (mod 34).

Two figures are considered to be 'congruent' if they can be put exactly over each other. When you set one slice of bread on top of the other, you'll see that they're both the same shape and size. The phrase "congruent" refers to having exactly the same form and dimension. When two things or forms superimpose on each other, they are said to be congruent. Their shapes and sizes are identical. Line segments with the same length and angles of the same measure are congruent in the case of geometric forms.

Here,

something equaling 55 (mod 34) is unusual to say the least as 55 mod 34 = 21

do you mean x+13=21 (mod 34) ?

clearly x = 8 + 34k which gives 8, 42, 76 begin less than 100

The congruence x+13=55 (mod 34) has three solutions.

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Therefore, As a result, the answer to the given equation problem is Jay would need to work alone for 21 minutes to remove the snow from the driveway.

Define equation .

A number, a variable, or a mix of both plus certain operation symbols make up an expression. An equal sign separates two expressions that make up an equation. Word illustration The product of 8 and 3 is 11.

Here,

The formula is: 1/j +1/j+ 21 = 11/ 4.

LCM = j+21+j / j(j+21)=1/14

Thus, 2j+21 / j(j+21) = 1/14 is obtained.

14(2j+21) times itself yields j(j+21).

28j+294 expanded to j²+21j

Gather comparable terms

j²+21j-28j-294=0

j²- 7j-294=0

With the use of a graphing calculator, we have:

j = 21 or j= -14

Due to the context,

j's value cannot be negative.

As a result, the answer to the given equation's problem is Jay would need to work alone for 21 minutes to remove the snow from the driveway.

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Step-by-step explanation:

there are 22 two digit numbers divisible by 4.

there are 13 two digit numbers divisible by 7.

Answer:468

Step-by-step explanation:cause of the max mark is 650 /100=6.5 (1%)

then 6.5*72=468

Answer:

40 minute = 40 : 60 hours

= 4/6 [÷10]

= 2/3 [÷2]

distance = speed × time

distance = 99 kilometers/hours × 2/3 hours

distance = 33 × 2

distance = 66km