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       A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

           A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. (b).

     Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 10x+14y=50. When an equation is given in this format, finding both intercepts is rather simple (x and y).

     When an equation of the form an x + b = 0, where a, b Q and, it is said to have one variable and be linear. A simple equation is a linear equation with a single variable. The solution of the equation is the value of the variables that makes the equation true, i.e., makes L.H.S. equal to R.H.S.

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Circle and Point

Option B and D are the correct answers.

Answer: $52

Step-by-step explanation:

Answer:

$52

Step-by-step explanation:

Answer:

23 remainder 13

Step-by-step explanation:

18 goes into 427 23 times with a remainder of 13

Answer:

The quotient of 427 and 18, the ratio of 427 and 18, as well as the fraction of 427 and 18 all mean (almost) the same:

427 divided by 18, often written as 427/18.

The number 427 is called the numerator or dividend, and the number 18 is called the denominator or divisor.

Welcome to 427 divided by 18, our post which explains the division of four hundred and twenty-seven by eighteen to you.

Step-by-step explanation:

Answer:

1,104 cupcakes

Step-by-step explanation:

46 batches, 24 cupcakes per batch.

Multiplying 46 by 24 gives 1,104 cupcakes.

Observe that the sequence increases by adding three units. It's an arithmetic sequence.

Let's use the arithmetic sequence formula.

Where, f(1) = 7, d = 3. Let's replace these values.

Answer:

p=45°, q=45°, s=112.5°

Step-by-step explanation:

Because the triangle is an isosceles right triangle, [tex]p=q=45^{\circ}[/tex].

In the top triangle, because of the isosceles triangle, the other two angles are each 67.5°.

Therefore, because angles that add to form a straight angle add to 180°, s=112.5°.

Answer:

p = -3 1/2

Step-by-step explanation:

1/2 - 1/2 + P = -3 - 1/2

-3 - 1/2 would be -3 1/2

So,

p = -3 1/2

Answer:

P= -3.5

Step-by-step explanation:

1/2+P=-3

move 1/2 over

P=-3-1/2

simplify

P=-6/2-1/2

P=-7/2=-3.5=-3 1/2

Isolate y.

5x + y = 9
5x + y - 5x = 9 - 5x
y = 9 - 5x

The cost of the one leg of the journey is 32.25 pounds.

Given that:-

Number of  25 pounds notes given by the member of staff travelling to Birmingham = 3

Change given to her = 10.50 pounds

It is assumed that she bought the return ticket as well and that each leg of the journey cost the same amount.

We have to find the cost of one leg of the journey.

Let the cost of one leg of the journey be x pounds.

Hence, we can write,

2x + 10.50 = 25*3

2x + 10.50 = 75

2x = 75 -10.50

2x = 64.50

x = 64.50/2

x = 32.25 pounds.

Hence, the cost of one leg of the journey is 32.25 pounds.

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Considering the given systems of equations, the expressions to obtain the desired results are filled as follows:

A system of equations will have no solution if it can be written in the following format:

0x = constant different of 0.

Hence:

-2x + 5 + 11x = 9x + 6(the final number can be any number different of 5)

As:

9x + 5 = 9x + 6

0x = 1 -> division by 0 does not exist, hence no solution.

A system of equations will have one solution if it can be written in the following format:

cx = d, c different of 0.

Hence:

-2x + 5 + 8x = 9x + 6(the final number on the left side can be any number different of 11)

6x + 5 = 9x + 6

-3x = 1

x = -1/3 (lone solution).

A system of equations will have infinitely many solutions if it can be written in the following format:

0x = 0.

Hence:

-2x + 5 + 11x = 9x + 5

9x + 5 = 9x + 5

0x = 0 (0/0 results in any value).

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Supposing that the other square has a length of 6 units, applying the Pythagorean Theorem, it is found that:

The length of the hypotenuse side is of 10 units.

The Pythagorean Theorem is a geometry axiom that relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, stating that the hypotenuse squared is the sum of the legs squared, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

In the context of this problem, we have that the legs have lengths defined as follows:

Hence the length of the hypotenuse can be found as follows:

h² = 6² + 8²

h² = 36 + 64

h² = 100

h = sqrt(100)

h = 10 units.

This problem is incomplete and could not be found on any search engine, hence we are going to suppose that the other leg of the triangle has a length of 6 units.

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Answer:b = 2

Step-by-step explanation:

Using limits, the end behavior of the function f(x) = (x + 7)(x - 6)² is given as follows:

To find the end behavior of a function f(x), we have to find the limits of f(x) as x goes both to negative infinity and to positive infinity.

For this problem, the function is given as follows:

f(x) = (x + 7)(x - 6)²

As x goes to infinity, we consider only the highest exponent of the function, hence:

f(x) = x³.

Then the limits that define the end behavior of the function are given as follows:

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Answer:

s= 98

Step-by-step explanation:

Answer: s=98

Step-by-step explanation: 6s+50s-60=5428

Combine like terms: 56s-60=5428

Move -60 to the other side: 56s=5488

Divide: 5488/56 =98

s=98

Answer:

If [tex]3^\frac{3}{4}[/tex] , ≈ -101.7205

If [tex]\frac{3^3}{4}[/tex] , = -389/4

Step-by-step explanation:

If [tex]3^\frac{3}{4}[/tex] :

[tex](-52)2+3^{\frac{3}{4} } =[/tex]

[tex]-104+\sqrt[4]{3^{3} }=-104+\sqrt[4]{27}=-101.7205[/tex]

If [tex]\frac{3^3}{4}[/tex] :

[tex](-52)2+ \frac{3^3}{4} =[/tex]

[tex]-104+\frac{27}{4} =-\frac{416}{4}+\frac{27}{4} =-\frac{389}{4}[/tex]

Explanation

An image of triangle ABC can be seen below;

The largest angles are the angles with the longest sides. Therefore from largest to smallest we will have

Answer: Option A

Answer:

Yes?

Step-by-step explanation:

Did you figure out a problem and you are celebrating?

Answer:

4c+8 = 2

Step-by-step explanation:

Making an equation

Eight more than ( than means it comes after the next part)

the product of a number and 4 (Product means multiply)

4c

Eight more than  (more than means add)

4c+8

is equal to 2 means equals

4c+8 = 2

Answer:

a

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] p = - 5 ( multiply both sides by 2 to clear the fraction )

p = 2 × - 5 = - 10

Answer: a -10

Step-by-step explanation:

[tex]\frac{1}{2} *\frac{-10}{1}[/tex]

-10 divided by 2 is -5

the expression (x-6)² is equivalent to



(1) x² - 36

(2) x² - 12x +36

(3) x² + 36

(4) x² + 12x +36

______________________

(x-6)²= ( x - 6) ( x - 6)= x^2 -6x - 6x + 36 = x² - 12x +36

______________________

Do you have any questions regarding the solution?

Answer: (I know this is not college work, but whatever.) [tex]y=14.95x+5.75[/tex] is the answer.

Answer:

Step-by-step explanation:

Answer: [tex]\Large\boxed{-\frac{1}{3} }[/tex]

Step-by-step explanation:

Given expression

[tex]-2+\dfrac{5}{3}[/tex]

Convert into fraction form

[tex]=-\dfrac{2}{1} +\dfrac{5}{3}[/tex]

Multiply 3 on both the numerator and denominator of 2

[tex]=-\dfrac{2\times 3}{1\times 3} +\dfrac{5}{3}[/tex]

[tex]=-\dfrac{6}{3} +\dfrac{5}{3}[/tex]

Add the numerator

[tex]=\dfrac{-6+5}{3}[/tex]

Simplify by addition

[tex]=\Large\boxed{-\frac{1}{3} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

20x = y

Step-by-step explanation:

the sales of laptops makes 5% of his sales, so you can estimate his total sales of a month if you know his sales of laptops of the same month. This is done by multiplying the amount of sales of laptops that month, x, by 20. You do this because 5% x 20 = 100%.

Given the function, we are asked to find a graph that is symmetric about the y-axis.

Explanation

Functions can be symmetrical about the y-axis, which means that if we reflect their graph, about the y-axis we will get the same graph. In the above question, the answer is

Answer:

The Average total cost per class if a studio member takes 50 classes per year will be 17.8$

The average can be calculated by dividing the sum of observations by the number of observations.

Average = Sum of observations/the number of observations

Given that A yoga studio charges a $140 yearly fee for membership plus 15 dollars for each class.

Yearly charge = 140  $

Charge per class = 15 $

The Number of classes attended by; studio members per year = is 50

We want to find the average total cost per class for this member for a year.

The Total charge = Yearly charge + Number of classes attended x Charge per class

Total charge = 140 + 50 x 15

Total charge = 140 + 750

Total charge = 890$

Than the Average total cost per class =890/ 50

= 17.8

Therefore, the Average total cost per class, if a studio member takes 50 classes per year, will be 17.8$

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Answer: $2.5 for 5 containers of yogurt

Step-by-step explanation:

      To set up a proportion for this problem, we will have the 4 containers on the left with the 5 containers on the right and the container amount in the numerator with the dollar amount in the denominator. Let x be the unknown amount that we are solving for.

       [tex]\dispalystyle \frac{4\text{ containers}}{\$2} =\frac{5\text{ containers}}{\$x}[/tex]

      Now, we will cross-multiply and isolate the variable using inverse operations.

4 * x = 2 * 5

4x = 10

x = $2.5

The area of a circle with radius r is given by the formula:

If we change the value of r by a small amount Δr, the new value of the area will be:

We can neglect the term Δr^2 since we are assuming that Δr is a very small quantity. Then:

Substitute A=πr^2 and isolate Δr from the equation:

Assuming that the ideal area of the disk is 1000in^2, calculate the ideal radius of the disk:

Substitute the value of r as well as the variation on the value of the area ΔA=4in^2 to find the variation in the value of the radius:

Up to 3 significant figures, the variation in the value of the radius must be less than: