Which graph could be used to find the distance between the points (-3,-13) and (11, 9)?​

The missing value is 22

Direct proportion is the relation between two quantities or values where the ratio of the two will always equal a constant value. The symbol used for proportion is the symbol '∝'.

When two quantities are in direct proportion, if we increase one value, then the other will also increase, and if we decrease one value then the other value will also decrease.

Here we have  

x -    1     2    3     4      5

y -  -2    4    10    16     ?      

As we see the value of x is directly proportional to y  

For every 1 unit value of x, the y value is increasing 6 units

For more Understand observe the following

at x = 1  => y = -2

at x = 2 => y = -2 + 6 = 4  

at x = 3 => y = -2 + 2(6) = 10

Therefore,

The relation between x and y can derive as given below

=> y = - 2 + (x-1)6

=> y = - 2 + 6x -6  

=> y = 6x - 8  

at x = 5 => y = 30 - 8 =22

Therefore,

The missing value is 22

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3x - 2 (2.3x + 2.5)  = -1.6x-5 are equivalent expressions while 5 - 3 (-1.6x - 2.1) = 4.8x - 1.3 are not equivalent expressions

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we substitute the same value(s) for the variable(s)

Given: 3x - 2 (2.3x + 2.5) = -1.6x -5 and 5 - 3 (-1.6x - 2.1) = 4.8x - 1.3

For 3x - 2 (2.3x + 2.5):

First, clear the parenthesis by using -2 to multiply what's in the parenthesis. Then add/subtract like terms:    

3x - 2 (2.3x + 2.5) =  3x-4.6x- 5 = -1.6x-5          

For 5 - 3 (-1.6x - 2.1) = 4.8x - 1.3:

First, clear the parenthesis by using -3 to multiply what's in the parenthesis. Then add/subtract like terms:  

5 - 3 (-1.6x - 2.1) = 5 + 4.8x + 6.3  = 4.8x + 11.3

Since 3x - 2 (2.3x + 2.5) is equal to  -1.6x-5 and  5 - 3 (-1.6x - 2.1) is not equal to 4.8x - 1.3.

Therefore, 3x - 2 (2.3x + 2.5)  = -1.6x-5 are equivalent expressions and 5 - 3 (-1.6x - 2.1) = 4.8x - 1.3 are not equivalent expressions

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Answer: X

Step-by-step explanation:

you just start at 0 since that is the origin and go up 5

By using the formula of average speed, it can be inferred that

My average speed is 14 miles per hour

What is average speed?

Speed of an object is the distance covered by the object per unit time

Average speed is calculated by dividing the total distance covered by the total time taken

Length of one block = 560 feet = [tex]\frac{560}{5280}[/tex] miles

Number of blocks = 33

Total distance = [tex]\frac{560}{5280} \times 33\\[/tex]

                        = [tex]\frac{7}{2}[/tex] miles

Total time = 15 minutes = [tex]\frac{15}{60}[/tex] hours = [tex]\frac{1}{4}[/tex] hours

Average speed = [tex]\frac{\frac{7}{2}}{\frac{1}{4}}[/tex] = [tex]\frac{7}{2} \times 4[/tex] = 14 miles per hour

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Answer:

BC = 6

Step-by-step explanation:

since BD = CD then Δ BCD is isosceles.

the line a through D is a perpendicular bisector of BC, then

BX = CX = 3 , so

BC = BX + CX = 3 + 3 = 6

Answer:i think its 13.70 or 14.00

Step-by-step explanation:

Answer:

$3.27

Step-by-step explanation:

$13.80 x 1.03 (which will add the 3% to the total, skipping a step) = $14.21

Then take $14.21 x .0.23 which will give you just the tip amount of $3.2683 or rounded to the nearest cent, $3.27

Answer:

  (x, y) = {(-2, -3), (2, 5)}

Step-by-step explanation:

You want to solve the system of equations y=x²+2x-3 and y=2x+1.

The two expressions for y can be equated, and the resulting equation put in standard form.

  x² +2x -3 = 2x +1

  x² -4 = 0 . . . . . . . . . . subtract (2x+1)

  (x -2)(x +2) = 0 . . . . . factor

Values of x that make the factors zero are 2 and -2.

Corresponding values of y are ...

  y = 2x +1 = 2(2) +1 = 5

  y = 2(-2) +1 = -3

Solutions are ...

The price of the lumber per square foot is $115.

Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.

Given that the cost of the lumber yard plywood per square meter is $1240.

The cost of the lumber plywood per square foot is calculated as,

Cost = $1240 per square meter

The square meter is equal to 1 m = 3.28 ft. The cost will be calculated as,

Cost = $1240 / m²

Cost = $1240 / (3.28)² ft²

Cost = $115 per square feet

Therefore, the price of the lumber per square foot is $115.

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Answer:

12.85

Step-by-step explanation:

hope it helps, pls lmk if it is wrong in comments!

Answer:

12.85

Step-by-step explanation:

64.25÷5

The depreciation expense under the straight-line method for 2022, for Monty Corp., is $5,450.

Under the straight-line depreciation method, one of the cost-recovery methods, the depreciable amount of an asset is divided by its estimated useful life.

The quotient is the depreciation expense for each year.  However, if the asset is not used for a full year, the depreciation expense is prorated according to the number of months or days that the asset is in use.

Note that the depreciable amount is the difference between the cost of the asset and its salvage value.

Cost of new machine = $124,000

Purchase date = October 1, 2022

Estimated salvage value = $15,000

Depreciable amount = $109,000 ($124,000 - $15,000)

Estimated useful life = 5 years

Estimated working hours = 10,000 hours

Depreciation method = Straight-line

Annual Depreciation Expense = $21,800 ($109,000/5)

October 1, 2022, to December 31, 2022, = 3 months

Depreciation expense for 2022 = $5,450 ($21,800 x 3/12)

Thus, using the straight-line method, Monty Corp. will record a depreciation expense of $5,450 for the new machine it purchased on October 1, 2022.

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Answer: 7.9766443e+22 all added and multiplied correctly

The value of 8x ÷ (16+8) ÷ 32 is x/96

The four basic arithmetic operations in Maths, for all real numbers, are:

Addition (Finding the Sum; ‘+’)

Subtraction (Finding the difference; ‘-’)

Multiplication (Finding the product; ‘×’ )

Division (Finding the quotient; ‘÷’)

Discussing about division or quotient

The division is usually denoted by ‘÷‘ and is the inverse of multiplication. It constitutes two terms dividend and divisor.

To simplify

8x÷(16+8)÷32= 8x×1/24×1/32

= x/96

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Answer:

[tex]-11[/tex]

Step-by-step explanation:

[tex]P(-1)[/tex] is the remainder when [tex]P(x)[/tex] is divided by [tex]x+1[/tex].

[tex]\frac{x^4 + 7x^3 - 6x-11}{x+1}=x^3 + 6x^2 - 6x-\frac{11}{x+1}[/tex].

The remainder is [tex]-11[/tex], so [tex]P(c)=-11[/tex].

The rate of change of the linear functions given in tabular form and equations are found as follows;

1. a. The rate of change of the function is 5

b. The rate of change of the function is 7

c. The rate of then function is 0.75

d. The function has a rate of change of -8

2. The rate of change of the function of -4, indicates that each unit increase in the input value results in 4 unit decrease in the output values

b. The number of days it took for the patients blood sample to have 360 antibodies is 13 days

c. The rate of change of the function is 20, which indicates that the antibody in the patients blood is increasing at a rate of 20 antibodies each day

The rate of change of a function is a measure of how much the output changes per unit change in the input.

1. The rate of change of the functions are as follows;

a. The first difference of the y-values is constant, therefore the function is a linear function

The formula for the rate of change of the linear function is presented as follows;

[tex]m = \dfrac{y_2-y_1}{x_2 - x_1}[/tex]

The rate of change of the function is therefore;

b. The first difference is constant and equal to 7, the rate of change of the straight line function is therefore;

[tex]\dfrac{\Delta y}{\Delta x} = \dfrac{49-42}{1-0} = 7[/tex]

c. The function is a linear function, as the first difference is constant and equal to 0.75

The rate of change of the function is therefore;

[tex]\dfrac{\Delta y}{\Delta x} = \dfrac{2.25-1.5}{-4-(-5))} = 0.75[/tex]

d. The first difference is constant and equal to -8

The rate of change of the straight line function is therefore;

[tex]\dfrac{\Delta y}{\Delta x} = \dfrac{5 - 13}{1 - 0} = -8[/tex]

2. a. The rate of change of the function, y = -4·x + 1 is found by taking the slope of the function

The function is the equation of a straight line, of the form, y = m·x + c with the slope, m = -4

The rate of change of the function is -4, such that for each unit increase in the input value, the output value decreases by 4 units

b. When the number of antibodies is 360, we have;

360 = 20·d + 100

20·d = 360 - 100 = 260

d = 260 ÷ 20 = 13

c. The rate of change of the function means that the number of antibodies the drug produces in the patients body each day is 20 antibodies.

3. The function that gives the amount of antibodies in the body is a = 20·d + 100

d = The number of days

a = The number of antibodies

a. The table is completed as follows;

Data for Medicine A

d    [tex]{}[/tex]                  a

0    [tex]{}[/tex]                  100

1    [tex]{}[/tex]                   120

2    [tex]{}[/tex]                  140

3    [tex]{}[/tex]                  160

4    [tex]{}[/tex]                  180

5    [tex]{}[/tex]                  200

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Hope this helps!! :]

The expression that is equivalent to (f × g²) + 5 - (g² × f) is 5

The expression whose equivalence is to be determined is given as

(f × g²) + 5 - (g² × f)

To start with, we need to remove the brackets in the expression

So, we have the following representation

(f × g²) + 5 - (g² × f) = f × g² + 5 - g² × f

Evaluate the products

This gives

(f × g²) + 5 - (g² × f) = fg² + 5 - fg²

Next, we collect the like terms

So, we have

(f × g²) + 5 - (g² × f) = fg²  - fg² + 5

Lastly, we evaluate the like terms

So, we have

(f × g²) + 5 - (g² × f) = 5

The above expression cannot  be further simplified

Hence, the equivalent expression is 5

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The marble that is heavier based on the ratio is purple marble.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

This indicates that you're dividing information A by B. For instance, the ratio will be 5/10 if A is 5 and B is 10.

Red balloons float purple marbles at a ratio of 12: 4. This will be:

= 12/4

= 3

Red balloons float green marbles at a ratio of 15: 6. This will be:

= 15/6

= 2.5

In this case, the purple marble is heavier as 3 is more than 2.5.

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Answer:Angles in a triangle may or may not be congruent.

The values of x and y are 90 and 47, respectively.

From the figure, we have:

This means that, angle x is a right-angle.

So, we have:

Triangle ABC is an isosceles triangle.

So, we have:

The measure of y is then calculated as:

--- sum of angles in a triangle

This gives

Subtract 137 from both sides

Hence, the values of x and y are 90 and 47, respectively.

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Step-by-step explanation:

The point (-6,6) is in the solution region of the inequality and is plotted in given below graph.

Given,

Equation -> y > x - 3 +8

                    y > x + 5

Lets take a point A(-6,6)

Putting the value in equation,

6 > -6 + 5

6 > -1

which is true.

Hence, A(-6,6) lies in the region of the inequality.

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The two numbers with sum is 10 and difference of their squares is 10  are 5.5 and 4.5.

What is square of numbers?

A square number, sometimes known as a perfect square, is an integer that is the square of another integer, or the result of multiplying another integer by itself. For instance, 9 is a square number since it equals 3^2 and is represented by the symbol 3 x 3.

Suppose x and y are the two numbers with sum is 10 and difference of their squares is 10.

As sum of two numbers is 10.

So, x + y = 10            ..(1)

As difference of their squares is 10.

So,  x^2 - y^2 = 10             ..(1)

From equation (1), x = 10 - y

Plug value of x in equation (2)

          (10 - y)^2 - y^2 = 10

100 - 20y + y^2 - y^2 = 10

                  100 - 20y = 10

                           20y = 100 + 10

                             2y = 110

                               y = 5.5

Plug y = 5.5 in equation (1)

x + 5.5 = 10

        x = 10 - 5.5

        x = 4.5

Therefore, The two numbers with sum is 10 and difference of their squares is 10  are 5.5 and 4.5.

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The domain of the relation in the diagram below is: a. {-3, -1, 1, 4, 5}.

A relation has a set of domain elements, which are all the inputs of the relation that are mapped to a set of range elements, which are all the corresponding outputs of the relation.

Given the relation as shown in the diagram that is attached below showing a mapping, the set of input values is {-3, -1, 1, 4, 5}, while the set of output values is {-5, 0, 2, 6}.

Therefore, {-3, -1, 1, 4, 5} is the domain of the relation because it is the set of all input values, while the range of the relation is {-5, 0, 2, 6}, because it is the set of all output values that corresponds to the input values.

The domain is therefore: a. {-3, -1, 1, 4, 5}.

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When a six sided dice through with the coin all the possible outcomes  are as follows

H-1 H-2 H-3 H-4 H-5 H-6

T-1 T-2 T-3 T-4 T-5 T-6

Probability that she gets an outcome of tails and 2 = 1 / 12

Isabelle flips a fair coin and rells a fair six-sided dice.

Coin has two face H or T

Dice has six face hat is 1, 2, 3, 4, 5, 6  

When a six sided dice through with the coin all the possible outcomes  are as follows

H-1 H-2 H-3 H-4 H-5 H-6

T-1 T-2 T-3 T-4 T-5 T-6

So there are total 12 outcomes possible when a six sided dice through with the coin.

Probability that she gets an outcome of tails and 2 = event occur / total number of events = 1 / 12

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The theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.

In this question, we have been given there are 10 brown, 10 black, 10 green, and 10 gold marbles in bag.

The theoretical probability of pulling a brown marble from the bag would be,

P = 10/40

P = 0.25

P = 25%

A student pulled a marble, recorded the color, and placed the marble back in the bag.

The frequency of each color pulled during the experiment after 40 trials is:

Brown 13

Black 9

Green 7

Gold 11

So, the experimental probability of pulling a brown marble from the bag would be,

P = 13/40

P = 0.325

P = 32.5 %

Therefore, the theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.

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Answer: The theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.

Step-by-step explanation: :)

Answer:

130-60m

Step-by-step explanation:

The phrase that represents the algebraic expression n - 4 is option b four less than a number.

Given,

The algebraic expression; n - 4

We have to find the phrase that represents the given algebraic expression.

Algebraic expression;

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.

An algebraic expression can be categorized into different categories depending on how many terms it contains: polynomial, quadrinomial, trinomial, monomial, and binomial.

So,

n - 4

That is,

4 is less than from a number

Therefore,

The phrase that represents the algebraic expression n - 4 is option b four less than a number.

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Answer:

the answer is b

Step-by-step explanation:

The vertical asymptote of a given function is x = -2 and x = -3.

What is the vertical asymptote of a function?

A vertical line that directs the function's graph but is not actually a part of it is called a vertical asymptote. It appears at the x-value that is outside the domain of the function, therefore the graph can never cross it.

To find the vertical asymptotes, set the denominator equal to zero and solve for x.

For the given function,

                           [tex]F(x) = \frac{1}{7(x+2)(x+3)}[/tex]

To find the vertical asymptote, equate the denominator to zero.

                            7(x + 2)(x + 3) = 0

                              (x + 2)(x + 3) = 0

                  x + 2 = 0           (or)         x + 3 = 0

                  x = -2                (or)         x = -3

Hence, The vertical asymptote of the given function is x = -2 and x = -3.

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