this is a little hard for me help me out please

Thus, the final answer is 34.9.

2.

Explanation

To answer the question, we have to understand the different parts of an algebraic expression

An expression containing variables, numbers, and operation symbols is called an algebraic expression. is an example of an algebraic expression. Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable or variables.

We are given the algebraic expression:

For the given question

The difference means the result of subtracting one number from another or How much one number differs from another, so we have

Then

The coefficient is is a number or any symbol representing a constant value that is multiplied by the variable of a single term or the terms of a polynomial, so we have

Also

A quotient is a number resulting from the division of one number by another, so we have

Finally,

A product is the result of multiplication or an expression that identifies factors to be multiplied.

Thus, we have

To make a poster you have to keep the ratio between lenght and height (otherwise it will look weird)

This is:

Answer :- Constant term

In p(x) = x - 12, 1 is the coefficient of x and -12 is the constant term.

Answer:

-29.8

Step-by-step explanation:

4 (-1.2-4-4.75) +1+(-3)²

4 (-1.2-4-4.75) +1+(-3)²

4 (-9.95) +1+9

4 (-9.95) +1+9

-39.8 +1+9 = -29.8

Answer:

994

Step-by-step explanation:

work inside the parenthesis first. 8+2 = 10 then raise 10 to the power of 3 which is 1000. subtract 6 from 1000 & you get 994

Answer:

994

Step-by-step explanation:

PEDMAS

Do the math inside the parentheses first

8+2 = 10         Now do the exponent    10^3 = 1000   Now subtract 6  = 994

There is sufficient evidence at the 0.10 level of significance that the percentage is not 33%.

According to the newsletter publisher that 33% of their readers own a Rolls Royce.

The testing firm says that this is an inaccurate issue and performs a test to dispute the publisher's claim, after performing the test at the 0.10 level of significance the results are as follows,

Null hypothesis:

H₀ : p = 0.33

Alternative hypothesis:

H₁ : p ≠ 0.33

We reject H₀ at the 0.10 level of significance.

Therefore, There is sufficient evidence at the 0.10 level of significance  that the percentage is not 33%.

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Answer: 7.3924E14

Step-by-step explanation:

Option C and Option D are the appropriate measurements of center and spread for the dataset.

The mean, median, and mode are three examples of center-of-data measurements.

Included in the spread measurements are range, mean deviation, variance, and standard deviation.

The given data is displayed as a box plot with the minimum, maximum, median, Q1 and Q3 values.

The median is the most accurate measurement of the middle of the data.

The interquartile range is the appropriate way to measure spread.

In conclusion, the median and interquartile range, respectively, are the most suitable measures of the data set's center and dispersion.

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The median value is the 11th score which is 84%.Changing 49% to 69% will increase the mean but the median will not change.

The three measures of central tendency used in statistics are mean, median, and mode. While describing a set of data, we always specify the focal point of any data set. The measure of central tendency is this. Every day, data are presented to us. We discover them in books, articles, bank statements, phone and utility bills, as well as in newspapers. There are so many; they are all around us. The challenge now is if we can identify some key characteristics of the data by focusing on only a few data points. The means, medians, and modes—measures of central tendency or averages—can be used to do this. When describing a set of data, a measure of central tendency locates the set's center.

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Answer:

IT WAS NOT D!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

The coordinates for the center of the circle is (-7,-1) and the length of the radius  is 6 units , the correct option is (D)  .

If the equation of the circle is x² + y² + 2fx + 2gy + c = 0

then the center is (-f,-g)

and the radius is √(f²+g²-c)

In the question ,

it is given that the

equation of the circle is x² + y² + 14x + 2y + 14 = 0

So , on comparing it with the general form of equation , we get

2f = 14

f = 7

and 2g = 2

g = 1

hence, the center is (-7,-1) .

the radius is √(7² + 1² - 14)

= √(49 + 1 - 14)

= √(50 - 14)

= √36

= 6

Therefore , The coordinates for the center of the circle is (-7,-1) and the length of the radius  is 6 units .

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Answer: (52,72) (52 adults and 72 children)

Step-by-step explanation:

1) Create 2 formulas that show the information show above, 2.5x+2y=274 showing how the x is how many adults paid for a ticket and y is how many children paid for a ticket. The second formula being x+y=124 meaning the combination of children and adults equal 124 people.

2) Take those formulas and input them into a graph as shown in the picture (Graph 1)

3) Find the common point shown on the graph (should be the middle grey dot if on Desmos as shown (Graph 2)

4) The common point is (52, 72)

And if you plug these numbers in by replacing the x's and y's i shown in step 1 they bring an output of 274 and 124

Hope this helps :)

Answer:

Step-by-step explanation:

y=-3x+24

(0,24)

The powers of the imaginary number i have four possible values: 1, i, -1, and -i. Let's see some examples:

i⁰ = 1 (any number with the exponent 0 equals 1)

i¹ = i (any number with the exponent 1 is the number itself)

i² = -1 (this follows from the definition of the imaginary number, the square root of -1)

i³ = i² * i = -1 * i = -i

Now, the results start to repeat from 1 to -i:

i⁴= i² * i² = (-1) * (-1) = 1

i⁵ = i⁴ * i = 1 * i = i

i⁶ = i * i⁵ = i * i = i² = -1

i⁷ = i⁶ * i = -1 * i = -i

From that, we can follow the steps below to find the value of a power of i:

• divide the exponent by 4;

• if the rest of the division is 0, then the power equals ,i⁰ = 1,;

• if the rest of the division is 1, then the power equals ,i¹ = i,;

• if the rest of the division is 2, then the power equals ,i² = -1,;

• if the rest of the division is 3, then the power equals ,i³ = -i,.

So, for the power i⁶⁴⁹, the exponent is 649. Following the steps above, we find:

• 649/4, has a quotient of 162 and the, rest 1,. Therefore:

i⁶⁴⁹ = i¹ = i

Thus, i⁶⁴⁹ equals i.

The Total cost of x small and y large greeting cards is; 1.25x + 4.50y.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that the Cost of the small greeting card = is $1.25 .

The Cost of the large greeting card =$4.50.

We need to determine the Total cost of 5 small and 4 large greeting cards and the total cost of x small and y large greeting cards.

The Cost of 5 small greeting cards = 6.25

The Cost of 4 large greeting cards = 18

Then the Total cost = $6.25+ $18 =$24.25

Therefore, the Total cost of 5 small and 4 large greeting cards is; $24.25.

Now, the total cost of x small and y large greeting cards will be;

Cost of x small greeting cards = 1.25x

Cost of y large greeting cards = 4.50y

Total cost = 1.25x + 4.50y

Therefore, the Total cost of x small and y large greeting cards is; 1.25x + 4.50y.

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Answer:

9 inches

Step-by-step explanation:

Set it up like a fraction ratio and solve for x.  as the price (denominator) and amount (numerator) have a set ratio, you can cross-multiply for your answer.

[tex]\frac{13}{52} =\frac{x}{36\\}\\[/tex]

13*36 = 468

468/52 = 9

Another way would be to divide 13 by 52 and multiply by 36, but then you end up with decimals and cross multiplication will be easier in the long run.

The values are given as;

1. - 2a - 9 = 6a + 15,  a = -3

2. 14 + 3n = 5n - 6, n = 10

An algebraic expression can simply be described as a mathematical expression that composed of arithmetic operations, such as;

They are also known to be made up of terms, variables, constants, factors and coefficients.

Given the algebraic expression;

- 2a - 9 = 6a + 15

Let's take the following steps;

collect like terms

- 2a - 6a = 15 + 9

add or subtract like terms

-8a = 24

Make 'a' the subject

a = 24/-8

Find the quotient

a = -3

14 + 3n = 5n - 6

collect like terms

3n - 5n = -6 - 14

-2n = -20

Make 'n' the subject of formula

n = 10

Hence, the values are -3 and 10

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Applying the distributive property and precedence of operations, the results to each side of the expression is of 2/5, hence they property holds.

The left-hand side of the expression is defined as follows:

2/5(4/3-1/3)

Applying the distributive property, 2/5 multiplies each term as follows:

2/5(4/3-1/3) = 8/15 - 2/15

(multiplication of fractions -> multiply numerators and denominators with themselves).

They have common denominator, then the subtraction of the fractions is calculated as follows:

2/5(4/3-1/3) = 8/15 - 2/15 = 6/15

6 and 15 are divisible by 3, hence the fraction is simplified as follows:

6/15 = 2/5.

The right-hand side of the expression is given as follows:

2/5 x 4/3 - 2/5 x 1/3

We have two operations, subtraction and multiplication. The multiplication has higher precedence, hence:

2/5 x 4/3 - 2/5 x 1/3 = 8/15 - 2/15

Then the procedure is the same as the left-hand side, obtaining an equal result, and so the distributive property holds.

2/5(4/3-1/3)=2/5*4/3-2/5*1/3

We need to solve:

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Scientific notation the

Answer:

[tex]6x - \frac{3}{X^2} + 2[/tex]

Step-by-step explanation:

Hope this is correct and helps you! :))

approximately 7 years old

Step-by-step explanation:

Answer:

G

Step-by-step explanation:

the domain is the interval or set of all valid x values.

we see x starts at -3 and goes up to +1.

but x = 1 has the be excluded (the hollow point tells us that, a filled point says "include").

therefore, the -3 <= x < 1 answer is correct

Answer:

================

Find the midpoint of the segment and its slope to determine the perpendicular line passing through the midpoint.

The midpoint has coordinates:

The slope:

We know perpendicular lines have opposite/reciprocal slopes.

So the slope of the perpendicular bisector is:

Use the coordinates of the midpoint and point-slope equation to determine the line:

Answer:

[tex]y=-\dfrac{5}{2}x+9[/tex]

Step-by-step explanation:

A perpendicular bisector is a line that intersects another line segment perpendicularly and divides it into two equal parts.

Given endpoints of the line segment:

Substitute the given endpoints into the slope formula to find the slope of the line segment:

[tex]\implies \textsf{Slope $m$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{6-2}{7-(-3)}=\dfrac{4}{10}=\dfrac{2}{5}[/tex]

If two lines are perpendicular to each other, their slopes are negative reciprocals.  

Therefore, the slope of the perpendicular line is -⁵/₂.

Find the midpoint of the given line segment by substituting the given endpoints into the midpoint formula:

[tex]\implies \textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)[/tex]

[tex]\implies \textsf{Midpoint}=\left(\dfrac{7-3}{2},\dfrac{6+2}{2}\right)[/tex]

[tex]\implies \textsf{Midpoint}=\left(\dfrac{4}{2},\dfrac{8}{2}\right)[/tex]

[tex]\implies \textsf{Midpoint}=\left(2,4\right)[/tex]

To find the equation of the perpendicular bisector, substitute the found slope and midpoint into the point-slope form of a linear equation:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-4=-\dfrac{5}{2}(x-2)[/tex]

[tex]\implies y-4=-\dfrac{5}{2}x+5[/tex]

[tex]\implies y=-\dfrac{5}{2}x+9[/tex]

Therefore, the equation for the perpendicular bisector of the line segment whose endpoints are (-3, 2) and (7, 6) is:

[tex]\boxed{y=-\dfrac{5}{2}x+9}[/tex]

Answer:

f(1) = 15

f(-9) = -65

f(0) = 7

Step-by-step explanation:

f(1) = 8(1) + 7

f(1) = 8 + 7

f(1) = 15

f(-9) = 8(-9) + 7

f(-9)  = -72 + 7

f(-9) = -65

f(0) = 8(0) + 7

f(0) = 7

Answer:120 dollars

Step-by-step explanation:

Answer:

Q4) 20

Q5) 48%

hope this helps

Answer:

slope = -1/9

Step-by-step explanation:

Hope this helps!!!

Answer:

x+1/3

Step-by-step explanation:

Add the terms together (3x+1), then divide by how many terms there are (3), to get the average of the expressions

It is true to state that segments 6 5 8 could form a triangle. Where AC = 6, CB =5 and BA = 8. See the explanation for the same below.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Triangle ABC denotes a triangle with vertices A, B, and C.

The total lengths of any two sides must always be larger than the length of the third side in order to make a triangle.

This is shown as follows:

6 + 5 = 11 > 8

5 + 8 = 13 > 6

8 + 6 = 14 > 5

Given that the side lengths meet the preceding criterion, a result, the supplied segments may be used to build a triangle.

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True, the segments 6, 5, and 8 form a triangle.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Let ABC is a triangle

AB=6

BC=5

CA=8

To form a triangle the sum of any two sides must be greater than the third side.

AB+BC>CA

6+5>8

11>8

BC+CA>AB

5+8>6

13>6

CA+AB>BC

8+6>5

14>5

It satisfies the condition for forming a triangle.

Hence the segments form a triangle.

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