Compare the slopes and y-intercepts for the equations in this system of equations. How many solutions does this system of equations have? 2 x + 6 y Ž +6 y = 3 A) One solution B) No solution Infinitely many solutions

No, this is not a proportional relationship.

Proportional relationships are relationships between two variables where their ratios are equivalent.

In this scenario the ratio between 4 hours and $10 parking cost comes out to be 10/4=2.5

But in the second case the ratio between 5 hours and $12 paring cost comes out to be 12/5=2.6

Since the ratios don't come out to be equal therefore this is not a proportional relationship .

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Answer:

1360000x2

Step-by-step explanation:

Answer: 1,360,000

Step-by-step explanation: First solve the power of's. 10^2 is 100. 10^3 is 1000. Now do 3.4 x 100 which is 340. Then do 4 x 1000 which is 4000.

Now it is (340)(4000) When the parentheses are next to each other you need to multiply. When you do you get 1,360,000

Answer:

14 = 2 * 7

15 = 3 * 5

LCM = 2 * 3 * 5 * 7 = 210

The function notation will be:

f(x) = 3x - 2

Since y (the output) can be replaced with f(x).

First, we know that a relationship between two variables x and y maps the first variable (called the input) into the second variable (called the output)

In this case, the relationship between x and y is linear, and is of the form:

y = 3x - 2

Particularly, if for each value of "x" that we use we get only one value of y as the output, then the relationship is called a function, and in that case we can write:

y = f(x).

So here to use function notation we just write:

f(x) = 3x - 2

And in that way we know that we have a function.

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Answer:

  $53

Step-by-step explanation:

You want to know Elijah's initial deposit if his deposits were ...

If x2 is the amount in the bank after the deposit of week 2, the amount deposited in week 3 is 2(x2). The total after that deposit is 477, so we have ...

  x2 +2(x2) = 477

  x2 = 477/3 = 159

Working back another week, we figure ...

If x1 is the amount in the bank after the initial deposit, the amount deposited the following week was 2(x1). Then the total amount in the bank after that deposit is ...

  x1 +2(x1) = 159

  x1 = 159/3 = 53

Elijah put $53 in the bank the first week.

__

Additional comment

We're not asked for the value of x, so the expression 2x+3 doesn't come into play in this problem. (We can see that 2x+3 = 53  ⇒  x = 25.)

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Answer:

-0.009

Step-by-step explanation:

put it on desmos

Answer:

x = 180-35 = 145

y = 35

Hope it helps

Translating verbal expressions into algebraic expression is 8 - x²

An expression that includes variables, constants, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, etc.). Terms combine to form expressions. 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. the sum of 8 and 3, for instance. Example sentence: The result of adding 8 and 3 is 11.

Given Data

Eight taken away from a number squared

Translating verbal expressions into algebraic expression:

Let number squared be x

8 - x²

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Cups of yogurt she needs to make 4 smoothies is 20 cups

What is Fraction?

An element of a whole or, more broadly, any number of equal pieces, is represented by a fraction. When used in conversational English, a fraction indicates the number of components of a particular size, as in one-half, eight-fifths, and three-quarters.

Given,

5cups of yogurt is used to make 1 smoothie

We have to find out that how cups of yogurt will it take to make 4 smoothies

1 smoothie = 1 x 5cups

4smoothies = 4 x 5cups

                    = 20 cups

Hence, 20 cups of yogurt is needed to make 4 smoothies

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Answer:

Larry has 10 Quarters, 5 Dimes and 2 Nickels.

Step-by-step explanation:

Since Larry has 5 Dimes, that's already 50 cents, with twice as many Quarters as Dimes, that gets him to a total of $3.00. But because he has 3 more Dimes than Nickels, he has 2 Nickels, leading to the correct answer of $3.10

 Binomial is a factor of ( x² + 2x - 15) is (x − 3) .

Despite the fact that many distinct expression types can be categorized as binomials, not all of them can be factored. A binomial must have one of the following in order to be factorable: a difference of two squares, a difference of cubes, a sum of cubes, or a greatest common factor.

Having two terms makes a polynomial a binomial. Binomials include, for instance, x 2 x -2 x2 and x 6 x -6 x6. This article will go over multiplying these binomials.

Separate the expression into groups using (x^2+3x)+ (5x-15)

Factor x from (x^2-3x)

x(x-3)

Subtract 5 from 5x-15.

5(x-3)

=> x(x-3)+5(x-3)

Remove the common term (x-3) (x-3)(x+5) since (x-3) and (x+5) are binomials of (x2+2x-15).

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Answer:

Solving for x gives us x = 1.33

The value for x cannot equal 3,-1

Explanation:

The initial expression is:

The denominator of the right side can be factorized as (x - 3)(x + 1) because -3 and 1 multiply to -3 and sum to -2. So, we can rewrite the expression as:

Now, we can sum the expression on the left side to get:

Both sides have a denominator of (x-3)(x+1), so we need to exclude the values where this denominator is equal to 0. Those values are:

x - 3 = 0

x - 3 + 3 = 0 + 3

x = 3

x + 1 = 0

x + 1 - 1 = 0 - 1

x = -1

So, the values of x cannot be equal to 3 and -1.

Then, if the denominators are the same, we can find the solution of the equation, making equal the numerators, so we need to solve:

Solving for x, we get:

Therefore, the answers are:

Solving for x gives us x = 1.33

The value for x cannot equal 3,-1

The  answer as a polynomial in standard form is 50x² - 45x +66.

A polynomial is an expression in mathematics that solely uses the operations of addition, subtraction, multiplication, and powers of positive-integer variables. It consists of indeterminates and coefficients. The polynomial x2 4x + 7 is an illustration of a single indeterminate x polynomial. Sums of terms with the pattern k x n—where k is any positive integer and n is an arbitrary number—are known as polynomials. A polynomial is something like 3x+2x-5. Polynomials: An introduction In this video, basic terms such terms, degrees, standard form, monomial, binomial, and trinomial are covered. Using mathematical operations like addition, subtraction, multiplication, and division, a polynomial is an equation made up of variables, constants, and exponents (No division operation by a variable).

g(x) = 5x - 6

So,

f(x) = 2(5x - 6)² +  3(5x - 6) + 12

= 2( 25x² + 36 - 60x ) + 15x - 18 + 12

= 50x²  + 66 - 45x

= 50x² - 45x +66

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When function f(x) = x^3 + 1 compared to its parent f(x) = x^3, it shifted left by 1 unit.

According to the question, given that

function f(x) = x³ + 1 , compare to the parent function f(x) = x³

when function f(x) = x³ + 1  comparing to the parent function f(x) = x³

then shifted left 1 unit.

graph of the function given below

In mathematics, some graphs are frequently seen. As a result, these initial, widespread functions—which also comprise graphs of quadratic functions, square roots, absolute values, cubic, and cube roots—are referred to as parent graphs.

quadratic function graphing

The utmost power or square to which an unknown number or variable can be raised is known as a quadratic function. The parent graph of all other quadratic functions is the function y=x2 or f(x) = x2, which is a quadratic function.

A parabola is the name for any quadratic function's graph. The fundamental shape of a parabola is uniform.

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Using a linear function, it is found that:

1. The elevation where the road begins is of 4800 feet.

2. The initial elevation is the intercept of the graph, that is, the value of y when the function crosses the y-axis.

A linear function, in slope-intercept format, is given according to the following rule:

y = mx + b

In which the coefficients are described as follows:

In the context of this problem, we are given two points:

(2, 5500) and (4, 6200).

The slope of the function is given by the change in y of these points divided by the change in x of these points, hence:

m = (6200 - 5500)/(4 - 2) = 350.

Hence:

y = 350x + b.

For both items, we need to find the intercept of the function, that is, the numeric value of y when the function crosses the y-axis(Item 2).

We have that when x = 2, y = 5500, hence the initial elevation of the road can be found as follows:

5500 = 350(2) + b

b = 5500 - 350(2)

b = 4800 feet.

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we have that

A quadratic equation that will have a solution of only x = 0 is given by the equation

Answer:

Table A

Step-by-step explanation:

Table A because there is a pattern and proportion relation shop has patterns

The equation to represent the number of Calories in any number

of grams of trail mix is C = 3x where, c = no. of calories and x = no. of grams of trail mix.

What is calorie?

The term "calorie" with the symbol "cal" generally refer to the big unit in nutrition and food science. It is typical practice to describe the energy content of foods in terms of serving size or weight, the recommended daily calorie intake, metabolic rates, etc. on package labels and in publications. To prevent misunderstanding, some authors advise using the capital C-spelled terms Calorie and Cal instead of other terms. This standard, however, is frequently disregarded.

We can see in the table that 50 grams pf trail mix contain 150 calories.

So, calories in 1 gram = total calories/total grams

calories in 1 gram = 150/50

calories in 1 gram = 3

Now lets take x as a number of grams taken:

So, Total calories in x grams of trail mix = 3x

So, the required equation is:

C = 3x

Where, C = no. of calories in x grams of trail mix.

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A fraction is a part of a whole. If Petra has 15 yards of fabric to make costumes for a play. If each costume requires 1 1/3 yards then she can make  costumes.

A fraction is a part of a whole.

Given that Petra has 15 yards of fabric to make costumes for a play.

To make a costume it requires  1 1/3 yards.

We have to find how many costumes she can make from 15 yards.

In this question 15 yards is whole and 1 1/3 is the part of it.

Convert 1 1/3 to a improper fraction

1 1/3 =4/3.

Now divide 15 by 4/3.

15/4/3

=15/1×3/4

Forty five divided by four.

=45/4

We get eleven point two five.

=11.25

Hence 11 costumes can she make from  yards of fabric.

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Answer:

answer Is A.............

Option A, p V q is the correct answer. We can also say it as p union q.

What do you mean by union in mathematics?

The set containing all the elements in a collection of sets is referred to as the union (denoted by ) in set theory. It is one of the fundamental operations that allows sets to be joined together and connected to one another. A union of zero (0) sets is referred to as a nullary union, because it is by definition equivalent to the empty set.

The diagram shown below represents two statements which are p and q.

Here in the diagram,

A covers the region in which only p is true.

B covers the region in which both p and q are true.

C covers the region in which only q is true.

The combine region of A, B, and C covers the region in which either p is true or q is true.

Therefore the region of A, B, and C is the union of p and q. It can be written as p v q or p ∪ q.

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Answer: 1.86667

Step-by-step explanation: i just looked  it so it might be wrong

Option C is correct. The (5,-2) point solves the given system of inequalities y < 1/2x - 3 and y + 2x > 6.

The given system of inequalities is as follows:

y < 1/2x - 3, y + 2x > 6

Substituting (7,-8) in these inequalities,

y < 1/2x - 3

y < 0.5

-8 < 0.5 is true

y + 2x > 6

-8 + 14 > 6

6 > 6 is false

So this is incorrect option.

Similarly, substituting (2,-3) in these inequalities,

y < 1/2x - 3

y < -3

-3 < -2 is true

y + 2x > 6

1 > 6 is false

So this is incorrect option.

Substituting (5,-2) in these inequalities,

y < 1/2x - 3

-2 < -0.5 is true

y + 2x > 6

8 > 6 is true

So, this is correct option.

Therefore, (5,-2) point is a solution to the given system of inequalities y < 1/2x - 3 and  y + 2x > 6. So, Option C is correct.

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The most appropriate choice for slope will be given by -

1) Initially, as x increases, y also increases

2) Slope of the graph between x = 3 and x = 5  is 2

3) Slope of the graph between x = 5 and x = 9  is -1

4) Greatest value of y is y = 4 and it occurs when x = 5

What is slope of a line?

Slope of a line is equal to the tangent of the angle that the line makes with the positive direction of x axis.

If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, slope = tan [tex]\theta[/tex]

Suppose  [tex](x_1, y_1)[/tex]  and [tex](x_2, y_2)[/tex]be two points on a line then the slope of the line is calculated by the formula

slope = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Here,

1) Initially, as x increases, y also increases

2) Slope of the graph between x = 3 and x = 5 = [tex]\frac{4 - 0}{5 - 3}[/tex]

                                                                             = [tex]\frac{4}{2}[/tex]

                                                                             = 2

3) Slope of the graph between x = 5 and x = 9 =

                                                                                 [tex]\frac{4 - 0}{5 - 9}\\-\frac{4}{4}\\-1[/tex]

4) Greatest value of y is y = 4 and it occurs when x = 5

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Answer:

y-4

Step-by-step explanation:

The step that is Josefina next step is D. Use a straight edge to connect the four point.

The processes for building a square inscribed in a circle are as follows:

Make a circle with the center c.

Now, using a straightedge, draw the diameter of a circle.

Next, using a compass, draw a perpendicular bisector of the diameter and then, using a straightedge, locate the spots on the circle where the perpendicular bisector meets.

Then, using a straightedge, join the four points to form the needed square.

In conclusion, the correct option is D.

The complete question is written below.

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Complete question

Josefina is inscribing a square in a circle with center c. She first uses a straight edge to draw a diameter of the circle through the center. Then, using a compass and straight edge, she constructs the perpendicular bisector of the diameter forming another diameter. Which of these steps is her next step?

A. Open the compass to a width equal to the diameter of the circle.

B. Use a straight edge to extend the diameters outside the circle.

C. Open the compass to the distance between consecutive points on the circumference of the circle.

D. Use a straight edge to connect the four point

Answer:

Step-by-step explanation:

1/25 and then .2 and then 1/4