1. Solve the system of equations, y = x – 3 and y = –2x + 6, using the

2. Use the linear combination method to solve the system of equations.
–x + 5y = 18
x + 4y = 9

3. Solve this system of equations 3x + 5y = −72 and 2x + 3y = –45 using the
linear combination method. please help guys

Answer:

0.89

Step-by-step explanation:

31.95 is about 32

36.05 is about 36

32/36 is 0.888...

rounded is 0.89

Answer:

.89

Step-by-step explanation:

When Cedric walked into a party, two-thirds of those invited had already arrived. Six more people arrived just after Cedric, bringing the number at the party to of those invited. The total number of invited guests is 18 by Linear equations

What was the total number of invited guests?

There are different methods of solving the problem, and we will use the following steps to get the solution of the problem: Let the total number of invited guests be x.Let's solve the problem with a step-by-step explanation.

Step 1: At the time Cedric arrived, two-thirds of the guests were already present.Let the number of guests present at the party when Cedric arrived be A. Therefore, A = (2/3)x

Step 2: Six more people arrived after Cedric got there. Therefore, the total number of guests after the six people arrived is A + 6.

Step 3: The total number of guests present was also x, which is the total number of guests invited. Therefore A + 6 = x.

Step 4: Substitute A = (2/3)x from Step 1 into A + 6 = x from Step 3 to obtain: (2/3)x + 6 = xStep 5: To solve for x, we will get rid of the fraction by multiplying every term by 3x.

Then we will simplify. 3x * (2/3)x + 3x * 6 = 3x * x Simplifying further  2x + 18 = 3x Subtracting 2x from both sides of the equation 18 = x.

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Answer:

(4 ± 2\(\sqrt{22} \)) ÷ 4

Step-by-step explanation:

i changed equation to be 2x² - 4x - 9 = 0

i used the quadratic formula:  (-b ± \(\sqrt{b^2-4ac} \)) ÷ 2a

where:

a = 2

b = -4

c = -9

Answer:

All real numbers would be the correct answer.

Step-by-step explanation:

First of all, add 6n to -2n which now the equation would be 4n+3 < 4n+8.

Now, subtract 4n to both sides and subtract 3 to both sides. Now you will have 0n < 5 which will be all real numbers.

what is the rate of increase of the function f(x) = 1/3(^3 √24)^2x

Answer:   \(2^x + 4\)

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

Explanation:

We simply add the expressions we are given, though we cannot combine the terms (as they aren't like terms). There's not much to show in terms of steps, though I guess you could have the following:

\(h(x) = f(x)+g(x)\\\\h(x) = 2^x+4\\\\\)

Adding 4 onto 2^x means we shift the 2^x curve up four units.

200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.

Forecasted values are as follows: 1,500 and 1,400

Values in actuality: 1,200 and 1,500

Absolute differences:

|1,500 - 1,200| = 300

|1,400 - 1,500| = 100

Now, we calculate the MAD:

MAD = (300 + 100) / 2 = 400 / 2 = 200

Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

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Answer:

18 divided by 22 is around 82

60 divided by 70 is around 86

Step-by-step explanation:

So the social studies test she scored higher

The correct option is C. One-third n²(n − 1) units³ = ⅓ n²(n-1) units³; volume of the pyramid.

A right pyramid is one that has the upper end straight just above centroid of a base. A regular pyramid is thus a subset of a right pyramid.

As, per the given question;

Edge Length = n units

Height of the pyramid = n - 1 units

The  formula for volume of a solid right pyramid is;

Volume = ⅓Ah

Where, A is the area of the base.

h is the height of the pyramid

Since, pyramid has the square base;

Calculate the area;

Area, A = edge × edge

A = n × n

A = n²

Put the value of area in volume;

Volume = ⅓Ah

Substitute n² at A and n - 1 at h.

Solve the expression;

Volume = ⅓ × n² × (n - 1)

Volume = ⅓n²(n-1).

Therefore, the volume of the solid right pyramid is calculated as V =  ⅓n²(n-1) units³.

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The complete question is -

A solid right pyramid has a square base with an edge length of n units. The height of the pyramid is n minus 1 units.

Which expression represents the volume of the pyramid?

A. One-third n(n − 1) units³

B. One-third n²(n − 1)² units³

C. One-third n²(n − 1) units³

D. One-third n³(n − 1) units³

Hence, the given figure's lateral area is 368 square centimetres as two faces that measure 10 by 8 cm.

A two-dimensional shape's area is a measurement of the amount of surface area it occupies. Usually, it is expressed in square units like square metres or square feet. Depending on the shape, various formulas can be used to determine the area of a shape. For instance, you may determine the area of a rectangle by multiplying its length by width, and the area of a circle by multiplying the square of its radius by pi (approximately 3.14159). Several disciplines, including mathematics, geometry, physics, engineering, and architecture, among others, depend on the idea of area.

given

We must add up the areas of all the lateral faces in order to determine the lateral area of this figure.

The object is a rectangular prism with dimensions of 10 cm in height, 8 cm in width, and 13 cm in length.

It features two faces that measure 10 by 8 cm, two that measure 13 by 8 cm, and two that measure 10 by 13 cm.

The four rectangular faces' total areas, which add up to the lateral area, are:

Lateral area is equal to 2 (10 cm 8 cm) + 2 (13 cm 8 cm).

Side area equals \(160 cm^2 + 208 cm^2.\)

Side area is \(368 cm^2.\)

Hence, the given figure's lateral area is 368 square centimetres as two faces that measure 10 by 8 cm.

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Answer:

Step-by-step explanation:

When dilating quadrilateral ABCD using P as the center and a scale factor of 1/2, the image is A'B'C'D'.

To dilate the quadrilateral, we multiply the coordinates of each vertex by the scale factor. With a scale factor of 1/2, we can determine the new coordinates as follows:

A' = (1/2) * A

B' = (1/2) * B

C' = (1/2) * C

D' = (1/2) * D

Labeling the new vertices, we have A'B'C'D' as the image of quadrilateral ABCD under the dilation with a scale factor of 1/2.

Similarly, if we dilate quadrilateral ABCD using P as the center and a scale factor of 2, the image is A"B"C"D".

Using the same process as before, we determine the new coordinates:

A" = 2 * A

B" = 2 * B

C" = 2 * C

D" = 2 * D

Labeling the new vertices, we have A"B"C"D" as the image of quadrilateral ABCD under the dilation with a scale factor of 2.

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Step-by-step explanation:

1) x/20 = -9

By cross multiplication,

x = -180

2) -168 = -14k

k = -168/-14

k = 12

3) -5m = -50

m = 10

4) -320 = -20n

n = 16

5) -4 = x - 5

x = 1

6) -6(-8 + n) = -54

42 - 6n = -54

-6n = -54 -52

6n = 106

n = 17.6

7) 3(x - 9) = -3

3x - 27 = -3

3x = 24

x = 8

8) 9k + 3 = -78

9k = -81

k = -9

9)4 + (n/4) = 8

By taking LCM,

16 + n/4 = 8

16 + n = 32

n = 16

10) -5r + 7 = -73

-5r = -80

r = 16

Hope it helps.

Answer:

Check Explanation

The histogram for the question isn't attached. But from the options provided for this question (80–90 minutes 90–100 minutes 100–110 minutes 110–120 minutes), it is evident that the bars and intervals for the question have the same width. So, the interval with the most movies will be the interval whose bar is the tallest.

Pick the interval whos bar has the highest height.

Step-by-step explanation:

The histogram for this question is missing. I couldnt get the histogram online, so, I will use a random histogram example to explain how to pick the interval with the highest frequency.

A histogram is a chart representation that uses bars to describe numerical data. It divides the entire distribution into Intervals and the number of variables in each interval (the frequency) corresponds to the area of each bar. This is the major difference between a bar chart and a histogram; the bars can be unequal for a histogram unlike that of bar charts.

If the bars are of equal widths, then the frequency of each interval is simply the height of the interval's bar.

In the attached histogram example for this question, the histogram shows the monthly salaries of workers and the frequency of workers receiving whichever salary. The intervals for these salaries for this histograms are in steps of $25. The bars start from $800 to $825, $825 to $850 and so on.

Since all the intervals have the same width, the interval with the most workers receiving the salary in that interval is the $900 to $925 interval with the tallest bar with frequency of 150.

If the bars weren't of the same width, the area of each bar is computed and the bar with the highest area has the highest frequency.

From the options provided for the question asked (80–90 minutes 90–100 minutes 100–110 minutes 110–120 minutes), it is evident that the bars and intervals for the question have the same width. So, the interval with the most movies will be the interval whose bar is the tallest.

Hope this Helps!!!

Answer:

maybe A

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

Use PEMDAS method to solve.

This means to solve all the numbers in order.

----------------------------------------------------------------

 1 + 2 × 3

=1 + 6 ⇔ First do multiplication

=7 ⇔ Then do division

The percentage of attorneys in given range is approximately 50%.

The boxplot below represents the salaries of attorneys in Los Angeles.

We can estimate the percentage of attorneys who have salaries between $55,000 and $80,000 by counting the number of boxes between the range (called the interquartile range, or IQR), which is from $55,000 to $80,000.

There are two boxes within the range, and two boxes that are not within the range (called the lower and upper outliers).

Thus, the percentage of attorneys with salaries between $55,000 and $80,000 is approximately 50%.

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Answer:Step-by-step explanation: 13:10

Answer:

length of shorter side = 6.5 cm

Step-by-step explanation:

the upper sides are congruent and the lower sides are congruent.

given perimeter = 33

then sum the sides and equate to 33

2(3x - 1) + 2(2x + 5) = 33 ← distribute parenthesis and simplify left side

6x - 2 + 4x + 10 = 33

10x + 8 = 33 ( subtract 8 from both sides )

10x = 25 ( divide both sides by 10 )

x = 2.5

then

shorter side = 3x - 1 = 3(2.5) - 1 = 7.5 - 1 = 6.5 cm

Answer:

1st one, 4th one, and 5th one

Step-by-step explanation:

Answer:

red, blue and purple

hey There!

for the first one

2*2=4

4*2=8

8*2= 16 so blue is correct

8*8=64 so cyan is not correct

2^8=256 so yellow is not correct

4*4=16 so red is correct

2^4 is the same as 2*2*2*2 which equals 16 so purple is also correct

To make a flavored drink using the same recipe as Mr. Becker, a ratio of quarts of tea to quarts of lemonade can be determined to make 30 quarts of the drink.

According to Mr. Becker's recipe, the ratio of quarts of tea to quarts of lemonade is 7:3. This means that for every 7 quarts of tea, 3 quarts of lemonade are used to make the flavored drink.

To determine the ratio of quarts of tea to quarts of lemonade for making 30 quarts of the flavored drink, we can set up a proportion. Since the ratio of 7:3 represents a total of 10 quarts of the mixture, we can set up the proportion:

7 quarts of tea / 3 quarts of lemonade = 10 quarts of mixture / 30 quarts of flavored drink

To find the ratio for 30 quarts of the flavored drink, we cross-multiply and solve for the unknown:

7 quarts of tea * 30 quarts of flavored drink = 3 quarts of lemonade * 10 quarts of mixture

This simplifies to:

210 quarts of tea = 30 quarts of lemonade

Therefore, the ratio of quarts of tea to quarts of lemonade that will make 30 quarts of the flavored drink is 210:30, which can be simplified to 7:1.

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Answer:

the first one ASA or AAS

Step-by-step explanation:

There is no AAA congruency

The are no right angle marked on diagram so, no HL

There are vertical angles and the parallel lines create congruent Alternate Interior Angles

Answer:

II and III

Step-by-step explanation:

In ΔSRT & ΔVUT

∠STR = ∠VTU   {Vertically opposite angles}

RT = UT   {Given}

∠SRT = ∠VUT           {UV //RS and UR is transversal; alternate interior angles}

ΔSRT ≅ ΔVUT              {A S A congruent}

In ΔSRT & ΔVUT

∠RST = ∠UVT           {UV //RS and SV is transversal; alternate interior angles}

∠SRT = ∠VUT           {UV //RS and UR is transversal; alternate interior angles}

RT = UT   {given}

ΔSRT ≅ ΔVUT      {A  A S congruent}

Answer:

Plot the -4 one point to the right of -5

Plot 7 two points to the right of 5

Plot 12 two points to the right of 10

Step-by-step explanation:

Have a nice day

Answer:

x= 3/4 or 0.75

Step-by-step explanation:

multiply by 7

-7x+3= 14x-25

3=21x-25

28=21x

x=3/4

Answer:

x=4/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−x+3/7=2x+−25/7

Step 2: Subtract 2x from both sides.

−x+3/7−2x=2x+−25/7−2x

−3x+3/7=−25/7

Step 3: Subtract 3/7 from both sides.

−3x+3/7−3/7=−25/7−3/7

−3x=−4

Step 4: Divide both sides by -3.

−3x/−3=−4/−3

x=4/3

The values for numbers #21 through #26 are as follows:

#21: 2.33% or 0.0233. #22: $56.4842. #23: 1.85% or 0.0185. #24: $56.4148. #25: 3.64% or 0.0364. #26: $57.4397

#21: 2.33% (arithmetic mean as a fraction: 0.0233)

#22: $56.4842 (result of the calculation)

#23: 1.85% (geometric mean as a fraction: 0.0185)

#24: $56.4148 (result of the calculation)

#25: 3.64% (continuous mean as a fraction: 0.0364)

#26: $57.4397 (result of the calculation)

To fill out numbers #21 through #26, we need to calculate the values for each term using the given information and convert the percentages to fractions.

#21: The arithmetic mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #21 = 2.33% = 0.0233.

#22: Multiply the starting price ($53.07) by the compound factor (1 + arithmetic mean)^3. Substitute the value of #21 into the calculation. Therefore, #22 = $53.07 x (1 + 0.0233)^3 = $56.4842.

#23: The geometric mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #23 = 1.85% = 0.0185.

#24: Multiply the starting price ($53.07) by the compound factor (1 + geometric mean)^3. Substitute the value of #23 into the calculation. Therefore, #24 = $53.07 x (1 + 0.0185)^3 = $56.4148.

#25: The continuous mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #25 = 3.64% = 0.0364.

#26: Multiply the starting price ($53.07) by the continuous factor e^(continuous mean x 3). Substitute the value of #25 into the calculation. Therefore, #26 = $53.07 x e^(0.0364 x 3) = $57.4397.

Hence, the values for numbers #21 through #26 are as calculated above.

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Answer:

----------------------

Expand using the square of the sum identity:

As we see it has 3 terms.

Answer:

3 terms

Step-by-step explanation:

The binomial expansion of (a + b)^2 has three terms.

When expanding (a + b)^2 using the binomial theorem, we get:

\(\sf (a + b)^2 = a^2 + 2ab + b^2\)

The expansion consists of three terms:

Answer:

That answer is correct

Step-by-step explanation:

all of the other ones have errors in them, the domain is every dot above below or on the x-axis.

Answer

10.5

Step-by-step explanation:

Answer: 1,050

Step-by-step explanation: It just is.

Answer:

You need "more than" 300.

Step-by-step explanation:

i did the test

Given the word problem, we can deduce the following information:

1. The diameter of the circle is 3 meters.

2. The side length of the square is 3 meters.

To determine the difference in area between a circle and a square, we note first the formulas of a circle with a diameter d and the area of a square with side length d:

where:

d=diameter

where:

d=side length

The figures are shown below:

Based on this, the difference of areas would be:

Next, we plug in d=3:

Therefore, the difference in areas is: