x + 2y=-6
y = 2z =2
-2x- 6y + 5z =26

Considering the definition of a line, the equation of the line that passes through the point (-10, -1) and has a slope of -1/5 is

A linear equation o line can be expressed in the form y = mx + b

where

In this case, you know:

Substituting the value of the slope in the expression of a linear equation, y = mx + b, the line has the form: y=-1/5x + b

Replacing the value of the point in the expression of a linear equation, the value of the ordinate to the origin b can be obtained:

-1= -1/5×(-10) + b

-1= 2 + b

-1 -2= b

-3= b

Finally, the equation of the line is y= -1/5x -3.

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Answer: The first one is x=2

The second one is x=1

The third one is x=2

Step-by-step explanation:

Answer:hey i have the solution for you if you have a phone download socratic. Just take a picture of the entire thing and it will pull up the exact answers

Step-by-step explanation:

The measure of angle is θ cannot determine the statements that are true about its reference angle.

There are two issues with the given statement.

First, it does not specify the measure of angle θ.

Second, the statement cos(0)=-3/10 is not related to the reference angle of θ.

The reference angle of θ is the acute angle between the terminal side of θ and the x-axis.

It is always positive and its measure is between 0 and 90 degrees or between 0 and π/2 radians.

The measure of the reference angle of θ is denoted by θ'.

To determine the reference angle of θ, we need to know the quadrant in which θ lies.

The reference angle of θ in standard position is the acute angle between the terminal side of θ and the x-axis.

If θ is in the first quadrant, then θ' = θ.

If θ is in the second quadrant, then θ' = π - θ.

If θ is in the third quadrant, then θ' = θ - π.

If θ is in the fourth quadrant, then θ' = 2π - θ.

The measure of angle θ, we can determine its reference angle using the above rules.

The statement cos(0)=-3/10 is not related to the reference angle of θ.

It is the value of the cosine function at 0 radians or 0 degrees.

This value does not correspond to any angle that has a reference angle.

The measure of angle θ cannot determine the statements that are true about its reference angle.

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Answer:

8 pigs

Step-by-step explanation:

Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.

Suppose all animals are chickens.

Total no. of feet = 26 chickens × 2 feet

                           = 52 feet

Difference in total no. of feet = 68 feet - 52 feet

                                                = 16 feet

Difference in no. of feet each animal has

= 4 feet (a pig) - 2 feet (a chicken)

= 2 feet

∴ No. of pigs = 16 feet ÷ 2 feet

                      = 8 pigs

A boutique owner needs to sell $1,200 in clothing each week. This week, she is within $125 of her goal. The variable in the equation is

A variable is a quantity that could change depending on the circumstances of an experiment or mathematical problem.

Typically, a variable is denoted by a single letter. The general symbols for variables most frequently used are the letters x, y, and z.

In the context of the problem, the boutique owner wants to make $1,200 in clothing each week. This amount in made by the number of items sold as this is added to get to the amount the boutique owner is targeting

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Answer:

A)

Step-by-step explanation:

1. We can see that the number in the bottom box is: 13.5yd.

2. The number in the top box is: 7.5yd.

3. The area of the table = 78.75yd²

A trapezoid, also known as a trapezium in some countries, is a quadrilateral shape that has only one pair of parallel sides. The parallel sides of a trapezoid are called the bases of the trapezoid, and the non-parallel sides are called the legs.

We see here that in order to get the number in the bottom box, we discover that the number in the top box is a square which means that all the sides are equal to 7.5yd.

Thus, the number in the bottom box = 3 + 7.5 + 3 = 13.5yd.

Thus, the area of the table, a trapezoid = 1/2(a + b)h

Where a = 7.5yd

b = 13.5yd

height, h = 7.5yd.

Thus, A = 1/2(7.5 + 13.5) 7.5 = 157.5/2 = 78.75

∴ Area of the table, A = 78.75yd²

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Answer:

4B

Step-by-step explanation:

i just did this and i got 4/4

Answer:

1: C

2: D

3: D

4: B

Step-by-step explanation:

just did it, 4/4

Answer:

4x² + 24x + 36

Step-by-step explanation:

(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36

Answer:

I believe its C i saw this yesterday somewhere not 100% sure

Step-by-step explanation:

Answer:

the amount added to the cost price of goods to cover overhead and profit.

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Meaning in my own words: The amount applied to the depreciation and production factor price of the product.

Example: Sells for $126 costs $100. Price is increase.

Synonyms for markup: increase, Profit

Hope this helps.

Answer:

blue 7.3

Step-by-step explanation:

Answer:

7.3

Step-by-step explanation:

There are 7 groups with 10 parts in each, 7 complete rows are filled in. 3 are left in the last row. This means that there are 7 wholes with 3 left over. 7.3

From the sale of 90 items, 400 items and 720 items rank from smallest to largest the amount of profit received 90 items, 720 items and 400 items. So the option b is correct.

In the given question, the graphs of a company's total revenue function and total cost function are shown.

At the unit 90 there is negative profits, the total cost is greater than the total cost. The profit is the largest where the gap between the total cost and total revenue curves are at the highest. The firm earns the largest profit when the firm is producing the 400 units. As the firm moves to the 720 units the profits declines.

The profit is found out bu deducting the total revenue from the total cost.

Profit = TR-TC

Hence, from the sale of 90 items, 400 items and 720 items rank from smallest to largest the amount of profit received 90 items, 720 items and 400 items. So the option b is correct.

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The right question is given below:

Answer:

Step-by-step explanation:

When you are asked to find the union of sets you find numbers that are present in both sets.

So a number that appears in both the sets of M and N are 2 and 8.

So M U N = { 2,8} where U is the symbol for union.

Answer:

one

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

Notice how

\(f(x)=x^{2} +8x+1\)

So when we have

\(f(-6)=(-6)^{2} +8(-6)+1= 36-48+1=-11\)

The answer is:

f(-6) = -11

Step-by-step explanation:

Plug in -6 for x:

\(\sf{f(x)=x^2+8x+1}\)

\(\sf{f(-6)=(-6)^2+8(-6)+1}\)

Simplify this:

\(\sf{f(-6)=36-48+1}\)

\(\sf{f(-6)=-12+1}\)

\(\sf{f(-6)=-11}\)

Answer:

200 + 28= 228

..................

The values of the numbers in the boxes is 57 x 4 = 200 + 28 = 228

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be represented as p

where the value of p = 57

Let the second number be represented as q

where the value of q = 4

And , A = 57 x 4

where the blank spaces in the boxes are by distributive property and

A = 57 x 4

( 50 + 7 ) 4 = ( 50 x 4 ) + ( 7 x 4 )

On simplifying the equation , we get

A = 200 + 28

A = 228

Therefore , the value of A is 228

Hence , the expression is A = 228

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The arithmetic sequence has a common difference, and a first term and the 17th term in the arithmetic sequence is -21

The given parameters are:

The nth term of an arithmetic progression is:

Tn = a + (n - 1)d

So, we have:

T17 = a + 16d

Substitute the given values

T17 = 11 - 16 * 2

Evaluate

T17 = -21

Hence, the 17th term in the arithmetic sequence is -21

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Answer:

10

Step-by-step explanation:

h(x) = -(-5) + 5

h(x) = 5 + 5

h(x) = 10

The vertex of the parabola of the given quadratic equation is (-5, 1).

The given quadratic equation is y²+4x-2y+21=0.

Rewrite in vertex form and use this form to find the vertex (h,k).

Here, y²-2y=-4x-21

Add 1 to both the sides of an equation, we get

y²-2y+1=-4x-21+1

(y-1)²=-4x-20

(y-1)²= -4(x+5)

The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola.

So, the vertex (-5,1)

Therefore, vertex of the parabola of the given quadratic equation is (-5, 1).

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"Your question is incomplete, probably the complete question/missing part is:"

Complete the square to find the vertex of this parabola.

y²+4x-2y+21=0.

The value of piecewise function at x = -1 is f(-1) = 11, and the value of piecewise function at x = 9 is f(9) = 1.

what is piecewise function?

A piecewise-defined function in mathematics is one that is composed of several smaller functions, each of which has a specific interval of the domain it applies to. Instead of being a property of the function itself, piecewise definition is a way to express the function.

We have to evaluate the piecewise function for x = -1 and x = 9.

Let, function has value for x = -1 in the domain x ≤ 5 which is 11.

And function has value for x = 9  in the domain 6 < x which is 1.

⇒  f(-1) = 11 and f(9) = 1

Hence, the value of piecewise function at x = -1 is f(-1) = 11, and the value of piecewise function at x = 9 is f(9) = 1.

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The equation in terms of x that represents the given relationship is 114 = (1 + 3x) * (Width)

Let's break down the information given:

Height of the rectangular box = 7 ft

Length of the rectangular box = 1 ft longer than thrice the width (x)

Volume of the rectangular box = 798 ft³

To write an equation that represents the given relationship, we need to relate the length, width, and height to the volume.

The volume of a rectangular box is given by the formula: Volume = Length * Width * Height.

Given that the height is 7 ft, we can substitute this value into the equation.

Volume = (Length) * (Width) * (7)

Now, let's focus on the length. It is described as 1 ft longer than thrice the width.

Length = 1 + (3x)

Substituting this value into the equation, we have:

Volume = (1 + (3x)) * (Width) * (7)

Since the volume is given as 798 ft³, we can set up the equation as follows:

798 = (1 + (3x)) * (Width) * 7

Simplifying further, we get:

798 = 7 * (1 + 3x) * (Width)

Dividing both sides of the equation by 7, we have:

114 = (1 + 3x) * (Width)

Therefore, the equation in terms of x that represents the given relationship is:

114 = (1 + 3x) * (Width)

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Answer:

  (x, y) ≈ (3.4, 1.8)

Step-by-step explanation:

You want the point of intersection of the lines through (0, 1), (4.3, 2) and (2.1, 3), (5.4, 0).

The first attachment shows a graph of the lines and the coordinates of the point of intersection. The solution is ...

  (x, y) ≈ (3.42, 1.8)

  (x, y) = (3.4, 1.8) . . . . accurate to 1 decimal place

__

Additional comment

For each pair of points, the equation of the line can be written as ...

  (y2 -y1)(x -x1) -(x2 -x1)(y -y1) = 0

  (2 -1)(x -0) -(4.3 -0)(y -1) = 0   ⇒   x -4.3y +4.3 = 0

and

  (0 -3)(x -2.1) -(5.4 -2.1)(y -3) = 0   ⇒   -3x -3.3y +16.2 = 0

The calculator result in the second attachment shows the exact solution to be ...

  (x, y) = (3 229/540, 1 43/54) ≈ (3.42407, 1.79630)

The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

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The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

1. An algebraic expression that represents each purchase is as follows:

2. Supposing that x has the same value in both expressions written above, the two algebraic expressions are not equivalent because the slope of expression A is greater than the slope of expression B.

3. The cost of a soccer ball in relation to the cost of a baseball cannot be represented by the algebraic expression 4 + 5x because it is given that the cost of a soccer ball is $15, and no number can substitute the x variable to equate the two.

An algebraic expression is a combination of terms (variables and constants) using the mathematical operations of addition, subtraction, multiplication, division, etc.

a) 15x + 4(6) = 15x + 24

b) 4(6) + 5x = 24 + 5x or 5x + 24

c) Cost of a soccer ball = $15

Cost of a baseball = $6

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Soccer balls = $15 each

Baseballs=$6 each

Sweat socks =$5 per pair

Using corresponding and alternating angle theorem. The values of the angles in the figure are m∠1 = 47, m∠2 = 133, m∠3 = 139, m∠4 = 41, m∠5 = 139 degrees respectively.

The corresponding angle postulate states that the corresponding angles are congruent if the transversal intersects two parallel lines. In other words, if a transversal intersects two parallel lines, the corresponding angles will be always equal.

Alternate angle theorem states that when two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent.

a. m∠1 = m∠7

Reason : Corresponding angles are equal

m∠1 = 47°

b. m∠2 = 180 - m∠1

Reason: Angles on a straight line

m∠2 = 180 - 47

m∠2 = 133°

c. m∠3 = m∠16

Reason : alternating angles are equal

m∠ = 139°

d. m∠4 = 180 - m∠3

Reason : Angles on a straight line

m∠4 = 41°

e. m∠5 = 180 - m∠4

Reason: Angles on a straight line

m∠5 = 139°

n. m∠17 = 180 - m∠6

m∠17 = 41°

f. m∠ 6 = m∠15

m∠15 = m∠17

Reason : Opposite angles are equal

m∠ 6 = m∠ 17

Reason : Alternating angles are equal

m∠ 6 = 41°

g. m∠8 = m∠1

m∠ 8 = 47°

h. m∠ 9 = m∠2

m∠9 = 133°

m. m∠15 = m∠ 17

m ∠ 15 = 41°

o. m∠ 18 = 360 - (m∠15 + m∠16  m∠ 17)

m∠18 = 360 - (41 + 139 + 41)

m∠18 = 139°

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teacher divides class into two groups and randomly chooses leader for each group. probability of you be a leader 1/12. probability both you and friend are chosen 1/132. 1) is your friend in your group? 2)whats probability your friend chosen as leader. 3)how many students in the class Answer by robertb(5830) (Show Source):

is this right im not sure

The standard error of slope is used to measure the variation in the slope of the regression equation when several samples from the population are selected.

Regression requires figuring out the degree of association in the patterns of change of two or more variables through the calculation of the coefficient of correlation, or r.

There are two conceivable values for r: 1.0, or the ideal correlation, and -1.0, or the ideal anticorrelation. When r = 0, there is no correlation between the two variables, which means that no change in one variable can be used to explain any change in the other.

The percentage of variation that a best-fit regression line generated for the data can explain is equal to the coefficient of determination, or r2, which assesses how well one variable's variation explains another's variation.

In simple linear regression, a single dependent variable, Y, is viewed as a function of an independent variable, X, or the interaction between the variables is represented by a straight line.

A best-fit regression line's binomial equation (y = mx + b) demonstrates how changes in the X variable explain variance in the Y variable. Regression analysis includes measuring the residual, or the amount of variance that the regression equation does not account for.

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