Graphing InequalitiesGraph the following inequality.Note: To graph the inequality:1. Select the type of line below (solid or dashed).2. Plot two points on the line.3. Click on the side that should be shaded. y < - 4x – 6

The value of x that makes Triangle PQR ~ Triangle VST is 5

From the question, we have the following parameters that can be used in our computation:

Triangle PQR ~ Triangle VST

Scale = 2 : 5

So, we have the following equivalent ratio

6 : 2x = 15 : 25

So, we have

2x/6 = 25/15

Make x the subject

So, we have the following representation

x = 6 * 25/(15 * 2)

Evaluate the expression

x = 5

Hence, the value is 4

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Complete question

If Triangle PQR ~ Triangle VST with a scale factor of 2:5, find the value of x.

PQ = 6

QR = 2x

VS = 15

ST = 25

Answer:

3x^2+27y^2-18xy

Step-by-step explanation:

3(x-3y)^2

3 [(x-3y)(x-3y)]

3 [x^2-3xy-3xy+9y^2]

3 [x^2-6xy+9y^2]

open d bracket

3x^2-18xy+27y^2

rearrange

3x^2+27y^2-18xy

Answer:

3x² - 18xy + 27y²

Step-by-step explanation:

= 3 ( x - 3y )²

= 3 ( x² - 2 * -3y * x + ( -3y)²)

= 3( x² - 6xy +9y²)

= 3x² - 18xy + 27y²

Answer:

If insulin levels are high, the liver absorbs the glucose & changes it into glycogen.

Answer: $0.45

Step-by-step explanation:

Let the variable x represent age

So,

x≥20

It would be an inequality for that situation.

Answer:

The rate of change is $21.5 per hour

Step-by-step explanation:

The rate of change can be found using the formula: (y^2 - y^1)/(x^2 - x^1).

(the exponents refer to which number. Y^2 refers to the y-axis number of the second number given)

So fill in the blanks:

(430 - 215)/(20– 10)

Now do the math:

430 - 215 = 215, 20 - 10 = 10

(215)/10

Divide:

215/10 = 21.5

Therefore, 21.5 is the rate of change!

Answer:

40.5

Step-by-step explanation:4 1/2 x 9

Answer:

40.5

Step-by-step explanation:

Given:

Multiply:

4 1/2 × 9 =

40.5 or 40 1/2

Hope this helped.

Answer:

x = - 9

Step-by-step explanation:

2x + 7 = - 11 ( subtract 7 from both sides )

2x = - 18 ( divide both sides by 2 )

x = - 9

The answer is:

x = -9

Work/explanation:

The point of equations is to find the variable's value by isolating it step-by-step.

For this equation, the variable is x.

To isolate it, I will perform a few operations.

First, I will subtract 7 from each side:

\(\sf{2x+7=-11}\)

\(\sf{2x=-11-7}\)

\(\sf{2x=-18}\)

Divide each side by 2

\(\sf{x=-9}\)

Hence, x = -9.

\(\rule{350}{4}\)

Given:

The price of a 2-hour plumbing repair job is $150

And the price of a 5-hour job is $330.

The general equation will have the form:

Where t is the hours and C is the cost:

By the given information, we can write the following equations:

Solving the equations to find the values of m and b:

Subtract (1) from (2):

Substitute with (m) into equation (1) to find (b):

So, the equation will be:

When t = 6 hours:

So, the answer will be option b. C = 60t + 30; 390

Answer:

$56×2=$112 and $45×4=$180 so $112+$180= $291

Answer:10-x

Step-by-step explanation:5 containers 2 cups in each. 5 x 2= 10. we don't know how many cups of rice he uses for a recipe so we call it x. Then we subtract it from the 10 cups of rice.

9514 1404 393

Answer:

  221 : 14

Step-by-step explanation:

The ratio is ...

  students : adults = (boys + girls) : adults = (132 +89) : 14 = 221 : 14

__

That's about 15.8 to 1.

Answer:

221:14

Step-by-step explanation: 132+89=221 (students) and 14 adults and the order is students to adults so 221:14

The odd one out in the set is "FOQZ." It deviates from the pattern  by the other sets, where the letters are arranged in Alphabetical order.

The set of letters "BCDEGPTV AJK FOQZ IY" seems to follow a specific pattern. If we examine the letters in each group, we can identify a difference that sets "FOQZ" apart from the others.

In the first group "BCDEGPTV," the letters are arranged in alphabetical order. Similarly, in the second group "AJK," the letters are also in alphabetical order. However, when we look at the third group "FOQZ," the letters do not follow alphabetical order.

Based on this pattern, we can conclude that the odd one out in the set is "FOQZ." It deviates from the pattern followed by the other sets, where the letters are arranged in alphabetical order.

It's worth noting that the pattern could be based on different criteria, such as the position of the letters in the alphabet or some other sequence. Without additional information or context, it is difficult to determine the exact pattern or reason for the deviation.

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Answer:

Step-by-step explanation:

The answer is, no!

Step-by-step explanation:

The reason to that answer is that some other shapes are also, having the same properties as shown. An example for that property would also mean a rectangle and not always a parallelogram.

So, here is the given information on what we need to classify a shape as a parallelogram:-

1) Parallel Sides

2)Opposite Sides are equal.

3) Adjacent sides are not equal.

4) Opposite angles are equal.

5)Adjacent angles are not equal.

Based on this, we can classify a shape as a parallelogram.

Hope, this answer helps!

The fourth term a₄ of the sequence is 29933

From the question, we have the following definition of the function that can be used in our computation:

a₁= 3

aₙ = (aₙ₋₁)² + 4

The above definitions imply that we simply square the previous term and then add 4 to the squared result to get the current term

Using the above as a guide,

so, we have the following representation

a₂ = (3)² + 4

a₂ = 13

Also, we have

a₃ = (13)² + 4

a₃ = 173

Lastly, we have

a₄ = (173)² + 4

Evaluate the equation

a₄ = 29933

Hence, the value of a₄ is 29933

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Answer:

2 4 6

Step-by-step explanation:

A circle is a two-dimensional figure with a radius and circumference of

2πr.

The arc length of AB is 10.05.

A circle is a two-dimensional figure with a radius and circumference of

2πr.

We have,

The radius of the circle = 12

The circumference of the given circle.

= 2πr

This means,

The whole circle is 360°.

= 360/360 x 2πr

= 2πr

Now,

We need to find 48°

So,

The arc length of AB.

= 48/360 x 2πr

= 48/360 x 2 x 3.14 x 12

= 48/30 x 2 x 3.14

= 10.048

Rounding to the nearest hundredths.

= 10.05

Thus,

The arc length of AB is 10.05.

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Answer: 10.05

Step-by-step explanation:

The arc length of AB.

= 48/360 x 2πr

= 48/360 x 2 x 3.14 x 12

= 48/30 x 2 x 3.14

= 10.048

Rounding to the nearest hundredths.

= 10.05

The arc length of AB is 10.05.

Step-by-step explanation:

10:30:45 *divided by 5*

2:6:9

Answer:

1st, 3rd

Step-by-step explanation:

1st: 8-10-12=-14

2nd:10-8-12=-10, so no

3rd:yes, because it just removed the brackets

4th:8-6-12+4=-6, so no

Hope this helps u

All the expressions that are equivalent to (8 - 12 - (6 + 4)) would be,

1) 8 - (6 + 4) - 12

3) 8 - 12 - 6 - 4

Given that,

The expression is,

8 - 12 - (6 + 4)

Now, Used the concpet to simplify the expression by using operations addition, subtraction, etc.

Here, The expression is,

8 - 12 - (6 + 4)

8 - 12 - 10

8 - 22

- 14

For the equivalent expressions we can simplify all the equations,

Option 1,

8 - (6 + 4) - 12

8 - 10 - 12

8 - 22

- 14

So, It is equivalent to a given expression.

Option 2,

(6 + 4) - 8 - 12

10 - 8 - 12

10 - 20

- 10

So, It is not equivalent to a given expression.

Option 3,

8 - 12 - 6 - 4

8 - 12 - 10

8 - 22

- 14

So, It is equivalent to a given expression.

Option 4,

8 - 6 - 12 + 4

8 - 18 + 4

12 - 18

- 6

So, It is not equivalent to a given expression.

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Answer: There is a two-digit number . whose units digit is . six less than the tens digit. Four times the tens digit . plus five times the units digit equal

51. x - 6 = y

. 4x + 5y = 51.

4x - 4y = 24.

9y = 27. y = 3, x = 9.

The number is 93.

Step-by-step explanation: pls mark brainliest

That would be 50%, 0.5 in decimal format, and 1/2 in fraction, hope this helps.

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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Answer:

Step-by-step explanation:

According to law of gravitation, the gravitational force between two bodies of masses M and m is expressed as F = GMm/d² ... 1 where;

G is the gravitational constant

d is the distance between the masses

If the distance between two bodies is tripled and the mass of each is doubled, then the gravitational force will become:

F2 = G(2M)(2m)/(3d)²

F1 = 4GMm/9d² ... 2

Taking the ratio of the original gravitational force to the new one we have;

F1/F = 4GMm/9d²/GMm/d²

F1/F =  4GMm/9d² * d²/GMm

F1/F = 4/9

F1 = 4/9F

This shows that if the distance between two bodies is tripled and the mass of each is doubled, the force of gravitation between them will four - ninth the original force

The mean and median of the given data set are 5.55 and 4.

So, the data is:

(A) Mean of data:

(B) Median of data:

Therefore, the mean and median of the given data set are 5.55 and 4.

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Out of the 400 surveyed students, 327 were either seniors or commuters.

To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.

According to the information given:

There were 262 seniors.

There were 215 commuters.

150 of the seniors were also commuters.

To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.

Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters

= 262 + 215 - 150

= 327

Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.

It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.

This ensures an accurate count of the students who fall into either category.

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The probability of selecting a girl and a boy for the class committee can be calculated by considering the total number of outcomes and the number of favorable outcomes.

Identify the number of girls and boys in the class. In this case, there are 5 girls and 7 boys.

Determine the total number of students in the class. That is 5 + 7 = 12.

Determine the number of ways to select two students from the class.

Here we can use the combination formula, which is written as C(n, r), where n is the total number of items and r is the number of items to be chosen.

In our case, n = 12 (total number of students) and r = 2 (number of students to be selected).

C(12, 2) = 12! / (2!(12-2)!) = 66.

Determine the number of favorable outcomes.

In this case, we want to select one girl and one boy. We multiply the number of girls by the number of boys: 5 x 7 = 35.

To find the probability, we divide the number of favorable outcomes (35) by the total number of outcomes (66):

Probability = Number of favorable outcomes / Total number of outcomes = 35 / 66 = 5/6.

So, the probability of selecting a girl and a boy for the class committee is 5/6.

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Answer:

a = 10 1/4

Step-by-step explanation:

So with the following equation,

4/5a - 8 = 1/5,

we need to use the commutative property.

Which is the moving of whole numbers or variables.

So we add 8 to both sides.

4/5a = 41/5

Divide 4/5 by both sides

a = 10 1/4

So on of the equations could look like a = 10 1/4

Thus,

a = 10 1/4 could be one of the equations given which are equal to 4/5a - 8 = 1/5.

Hope this helps :)

Answer:

\(\huge\boxed{a=\dfrac{41}{4}=10\dfrac{1}{4}=10.25}\)

Step-by-step explanation:

\(\dfrac{4}{5}a-8=\dfrac{1}{5}\qquad\text{multiply both sides by 5}\\\\5\!\!\!\!\diagup\cdot\dfrac{4}{5\!\!\!\!\diagup}a-(5)(8)=5\!\!\!\!\diagup\cdot\dfrac{1}{5\!\!\!\!\diagup}\\\\4a-40=1\qquad\text{add 40 to both sides}\\\\4a-40+40=1+40\\\\4a=41\qquad\text{divide both sides by 4}\\\\\dfrac{4a}{4}=\dfrac{41}{4}\\\\a=10.25\)

The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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