The table below represents some points on the graph of a linear function. Which function represents the same relationship?​

Answer:

24:66

Step-by-step explanation:

The statement "there exists x ∈ S ∖ m" means that there exists an element x that belongs to the set S but does not belong to the set m. In other words, x is an element that is present in S but is not present in m.

The phrase "m ⊊ m ∪ {x} ∈ X" states that the set m is a proper subset of the set m ∪ {x}, and this union belongs to the set X. This implies that the set m ∪ {x} contains all the elements of m along with the additional element x.

The phrase "a contradiction" indicates that the statement or assumption being made leads to a logical inconsistency or contradiction. In this context, the contradiction arises from the fact that the assumption that x is not in m contradicts the statement that m ∪ {x} is a proper superset of m.

Overall, the given statement implies that the existence of an element x in S, which is not in m, leads to a contradiction when considering the relationship between m and m ∪ {x}.

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Answer:

  see attached

Step-by-step explanation:

The graph of a linear equation can be drawn using any of several methods. Here, we are given the equation in standard form. We notice that the variable coefficients are both divisors of the constant, which means the x- and y-intercepts will be integer values. It will be convenient to draw the graph using those points.

__

The x-intercept is the x-value when y = 0.

  2x -0 = 10

  x = 10/2 = 5 . . . . . . (5, 0) is a point on the line

__

The y-intercept is the y-value when x = 0.

  0 -y = 10

  y = -10 . . . . . . . (0, -10) is a point on the line

__

The graph can be drawn by plotting these points and drawing the line through them. This is shown in the attachment.

9514 1404 393

Answer:

  x = 5

Step-by-step explanation:

The arc subtended by the marked angle is ...

  360° -226° = 134°

The measure of the marked angle is half this, so we have ...

  15x -8 = 134/2

  15x = 75 . . . . . . . add 8

  x = 5 . . . . . . divide by 15

Answer:

cjvwxvjct3i3frjobkb dxe khr2fohc2ohcf2pjr fpfvivohcr2jcrn

Answer:

(x) ∠CAB

Step-by-step explanation:

In ΔCOD and ΔBOA

\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)

Also,

∠COD = ∠BOA (vertically opposite angles)

⇒ ΔCOD and ΔBOA are similar

⇒ ∠CDO = ∠BAO

⇒ ∠CDB = ∠BAC

⇒ ∠CDB = ∠CAB

From the solution;

x = 62.62°

y = 8.9 cm

The sine rule (also known as the law of sines) is a mathematical formula that relates the sides and angles of a triangle. Specifically, it relates the ratios of the lengths of the sides of a triangle to the sine of the opposite angles.

By the use of the sine rule;

a/Sin A = c/Sin C

Sin C = cSin A/a

C = Sin-1(cSin A/a)

C = Sin-1(7.8 * sin 66.4/9.2)

C = 50.98°

B = 180 - (50.98° + 66.4)

B = 62.62°

Then;

a/Sin A = b/Sin B

9.2/Sin66.4 = b/Sin 62.62

b = 9.2 * Sin 62.62/Sin66.4

b = 9.2 * 0.89/0.92

b = 8.9 cm

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Below, you'll find a list of all the answers to the questions which are solved by using proportional relationship.

The general equation for a straight line is y=mx + c, where m represents the line's slope and expresses the rate of change of y per unit time with respect to x.

The point where the graph crosses the y-axis is called the y-intercept, or c.

Direct proportionality is also represented by y = mx. We can express m as follows: m = y/x

OR

y₁/x₁ = y₂/x₂

In our cafeteria, lemonade is made using a powdered drink mix. The quantity of water required to manufacture a certain amount of powdered drink mix is proportional to the number of scoops required. For every 2 scoops of mix, 1/2 gallon of water is required, and for every 5 scoops,

1 1/4 gallons of water are required.

The proportional formula is written as y = k x.

Using the information provided, we can now write: 2 scoops require 0.5 gallon of water.

1.25 gallon of water is required for 6 scoops.

This means that k = 2/0.5

k = 2/(1/2)

k = 2 x 2

k= 4

Equations describing the relationship can be expressed as y = 4x + c.

0.5 gallon of water is now required for 2 scoops.

2=4(1/2)+c

2=2+c

c=0

Therefore, the formula will be y = 4x.

The end includes a graph for y = 4x.

12 scoops of water:

12=4x

x=3 gallons of water is needed.

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Answer:

15 pieces

Step-by-step explanation:

a ratio of 1:3 has 4 total parts, meaning that each part is 5.

20/3 = 15 so that means he has 5 pieces of chocolate and 15 of hard candy.

Answer:

15

Step-by-step explanation:

Answer:

The tax is split between employers and employees. They both pay 7.65% (6.2% for Social Security and 1.45% for Medicare) of their income to FICA, the combined contribution totaling 15.3%. The maximum taxable earnings for employees as of 2020 is $137,700.

Correct me if you want If its wrong

Answer:

y = -8/3x + 8

Step-by-step explanation:

Step 1:  Identify which values we have and need to find in the slope-intercept form:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.

Step 2:  Find m, the slope of the line:

Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:

0 = m(3) + 8

0 = 3m + 8

-8 = 3m

-8/3 = m

Thus, the slope is -8/3.

Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.

Optional Step 3:  Check the validity of the answer:

Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:

Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:

0 = -8/3(3) + 8

0 = -24/3 + 8

0 = -8 = 8

0 = 0

Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;

8 = -8/3(0) + 8

8 = 0 + 8

8 = 8

Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.

Answer:

I think it is -31

Step-by-step explanation:

-4(5) -11 = -31

Answer:

-31

Step-by-step explanation:

First you substitute in 5 for all of the x in the equation, making

f(5) = -4(5) - 11

Then you just have to simplify from there.

f(5) = -20 - 11

f(5) = -31

Answer:

There are 16 servings in the bottle.

Step-by-step explanation:

The equation for the amount of juice left in the bottle is:

y = 128 - 8*x

Where x is the number of servings of juice poured from the bottle.

The total number of servings that are in the bottle is the value of x such that we have y = 0 (because in that point, we do not have more juice left)

Then we need to solve:

y = 0 = 128 - 8*x

8*x = 128

now we can just divide both sides by 8

x = 128/8 = 16

There are 16 servings in the bottle.

The quadratic function is increasing on the interval:

(-∞, 0)

Here we want to see on which intervals is the quadratic function increasing.

Or function is:

f(x) = 5 - 2x^2

Notice that we have a negative leading coefficient, which means that the parabola opens downwards.

Then the function will be increasing from negative infinity to the x-value of the vertex.

Remember that for the general quadratic:

y = a*x^2 + b*x + c

the x-value of the vertex is:

x = -b/2a

In this case we don't have a linear term, so b = 0, then the vertex is at x = 0.

Which means that the function is increasing on the interval (-∞, 0)

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(a) To find the cofactor matrix of matrix A, we need to find the determinants of the 2x2 matrices formed by removing each element of A. The cofactor matrix is obtained by multiplying each determinant by -1^(i+j), where i and j are the row and column indices of the element being removed.

The cofactor matrix of A is:

| -18 -6 -18|

| -4 -2 -2|

| 2 2 -2|

(b) The adjoint matrix of A is obtained by taking the transpose of the cofactor matrix of A. Therefore,

Adj(A) =

| -18 -4 2 |

| -6 -2 2 |

|-18 -2 -2 |

(c) The determinant of A can be found by expanding along any row or column. Expanding along the first column, we get:

det(A) = 1(18 - 8) - 0(6 - 4) + 2(-3 + 4) = 14

Therefore, det(A) = 14.

(d) Using the formula A^-1 = 1/ det(A) * Adj(A), we get:

A^-1 = 1/14 *

| -18 -4 2 |

| -6 -2 2 |

|-18 -2 -2 |

Multiplying each element by 1/14, we get:

| -9/7 -2/7 1/7 |

| -3/7 -1/7 1/7 |

|-9/14 -1/7 -1/7 |

Therefore, the inverse of A is:

| -9/7 -2/7 1/7 |

| -3/7 -1/7 1/7 |

|-9/14 -1/7 -1/7 |

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Be,

x = number of large boxes

y = number of small boxes

According to the statement there are 125 boxes (large and small) in a truck, so

x + y = 125 (Equation 1)

We are also told that the large boxes weigh 45 pounds, so

45x --> Weight of an "x" number of large boxes

And the small boxes 30 pounds

30y --> Weight of a "y" number of small boxes

According to the statement, the weight of the 125 boxes (large and small) is 4800 pounds, so

45x + 30y = 4800 (Equation 2)

x + y = 125

45x + 30y = 4800

To solve this system we will apply the equalization method, which consists of solving for the same variable (x or y) in each equation.

In this case we will isolate x.

From the first equation

x = 125 - y

And from the second equation

45x = 4800 - 30y

\(\mathsf{x = \frac{4800-30y}{45} }\)

We equate both expressions

\(\mathsf{125 - y = \frac{4800-30y}{45} }\\\\\mathsf{45(125-y)=4800 - 30y}\\\\\mathsf{5625 - 45y = 4800 - 30y}\\\\\mathsf{5625 - 4800 = 45y - 30y}\\\\\mathsf{825 = 15y}\\\\\mathsf{\frac{825}{15}=y }\\\\\mathsf{55 = y}\)

There are 55 small boxes in the truck, we need to find the number of large boxes, for this we will use equation 1.

x + y = 125 (Equation 1)

x = 125 - y = 125 - 55

x = 70

Substituting both x, y into Equation 2, we have that

45x + 30y = 4800

45(70) + 30(55) = 4800

4800 = 4800

Correct!

The answer to your math homework on 2x2 equations is: The truck has 70 large boxes and 55 small boxes.

Hello !

68/17 = 4

=> yes for 68

84/17 = 4.941...

=> no for 84

357/17 = 21

=> yes for 357

1001/17 = 58.882...

=> no for 1001

ANSWER

3(x + 3)

EXPLANATION

We have the expression:

3x + 9

To factorise it, we wll use a number that is a factor of the two numbers in the expression.

We have:

3x + 9

= 3(x + 3)

That is the expression in factored form.

The lines intercept at the point (3, 9), and:

A system of linear equations can have one solution, no solutions, and infinite solutions, these are the only options.

If we have a system of equations, the solutions of the system are the points where the graphs of the equations intercept.

Here we know that the solution of the system of linaer equations is (3, 9), this means that the interception of the linear equations is at that point.

Can you have more than one solution to a Linear system of equations?

Yes, you can have:

no solution.

one solution

infinite solutions.

These are the 3 options.

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Using the combination formula, it is found that she can select the shirts in 775,200 ways.

The order in which the shirt are chosen is not important, hence, the combination formula is used to solve this question.

Combination formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by:

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this problem:

\(T = C_{17,3} \times C_{20,3} = \frac{17!}{3!14!} \times \frac{20!}{3!17!} = 680 \times 1140 = 775200\)

She can select the shirts in 775,200 ways.

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Answer:

University student has more debt

Step-by-step explanation:

9650-8455/1865 =0.64  College student  

12360-10326/2143 =0.95 University student

Hopefully this helps

Answer:

let's use c as circumference, d for diameter

lets say c increases, d is related to c, d will also increase

if c decreases, d will too.

Let's put in this way.

Pretend you're at a store,

The more you spend, the more points you get in their loyalty program

C is going to be the amount you spend

D will be how many points you get

Spend more, more points

spend less, less points

P.S

C is the independent variable, D is the dependent variable. (I think that's the right way, if not ignore the postscript aka P.S)

\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Functions.

So here to get the (f-g) (x) , we do the subtraction of the two functions now,

==> 8x + 5 - (9x -2)

===> 8x + 5 -9x +2

===> 8x - 9x +7

==> -x + 7

hence the new function (f-g) (x) = 7 - x

and the domain is from (- infinite to + infinite)

\(domain = ( - \infty \: to \: \infty )\)

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Answer:

-3/4

Step-by-step explanation:

Answer: $195,000.00

Step-by-step explanation:

6/100 = 11700

100/100 = x

6/100(x)=11700

x = 11700 / (6/100)

  = 11700 * 100/6

= 195000

Bruce and Felicia would have a unique solution to the given equation. The value of x that satisfies the equation is 15.

To determine if the equation 6x + 2 = 5x + 17 has a unique solution, we need to check if the variable x has a consistent value that satisfies the equation.

By simplifying the equation, we can see that the equation becomes:

6x - 5x = 17 - 2

Simplifying further, we have:

x = 15

Since the variable x has a specific value, in this case, x = 15, the equation does have a unique solution. When x is substituted with 15 in the equation, both sides are equal.

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Answer:

No

Step-by-step explanation:

10 is not less than 6, so 10 < r when r=6 is not true.