Let m = 6x + 5.

Which equation is equivalent to (6x + 5)2 – 10 = -18x – 15 in terms of m?

Answers

Answer 1

Answer:

m² + 3m - 10 = 0

Step-by-step explanation:

Given

(6x + 5)² - 10 = - 18x - 15 ← factor out - 3 from each term

(6x + 5)² - 10 = - 3(6x + 5)

Now let m = 6x + 5 in the equation, that is

m² - 10 = - 3m ( add 3m to both sides )

m² + 3m - 10 = 0

Answer 2

Answer:

m = 2

Step-by-step explanation:

(6x + 5)2 – 10 = -18x – 15

12x + 10 - 10 = -18x - 15

12x + 18x = -15

30x = -15

x = -15/30

x = -1/2

m = 6x + 5

m = 6(-1/2) + 5

m = -3 + 5

m = 2


Related Questions

how many teaspoons are f vanilla will i use?

how many teaspoons are f vanilla will i use?

Answers

Answer:

9 teaspoons of vanilla

Step-by-step explanation:

12/4=3

3*3=9

Answer:

teaspoons of vanilla =9

Step-by-step explanation:

we can make it as a ratio

So we have (3 for teaspoons and 4 tablespoons)

          3:4  

Then  x : 12

x=(12/4)*3=9

hope this helps

1. What kind of polyhedron can be assembled from this net?
2. Find the surface area (in square units) of the polyhedron. Show your reasoning.

1. What kind of polyhedron can be assembled from this net?2. Find the surface area (in square units)

Answers

Answer:

Honestly it looks like a rectangular prism.

Step-by-step explanation:

Picture that you're folding it. the dark lines are the crevaces that you fold on.

Given f(x) and g(x) = k-f(x), use the graph to determine the value of k.

Given f(x) and g(x) = k-f(x), use the graph to determine the value of k.

Answers

(3,-2) because that the graph describes it

Answer:

k = -3

Step-by-step explanation:

f(x) = x + 4

g(x) = -3x - 12

Plug this in for g(x) = k*f(x)

[NOTE: the dot *  is a multiplication sign]

-3x -12 = k(x+4)        divide by x-4 on both sides

-3 = k                        we're done!

Write an algebraic rule to describe the relationship in the table.

Write an algebraic rule to describe the relationship in the table.

Answers

Answer:

um idrk lol but I LIKE UR CUT G!!!!

This is the graph of Bob's riding his bicycle on Sunday. He started in the morning and after biking for sometime he stopped at McDonald to eat breakfast. How long he stayed at McDonald?

Answers

Answer:

you dont have an image?

(q13) Evaluate the definite integral.

(q13) Evaluate the definite integral.

Answers

The definite integral in this problem has the value given as follows:

B. 42.

How to solve the definite integral?

The definite integral in the context of this problem is given as follows:

\(\int_0^2 (x^7 + 5) dx\)

Applying the power of x integral rule, the result of the integral is given as follows:

\(\frac{x^8}{8} + 5x\)

At x = 2, the numeric value of the integral is given as follows:

\(\frac{2^8}{8} + 5(2) = 42\)

At x = 0, the numeric value of the integral is given as follows:

0.

(as both terms involve a multiplication by x and x = 0).

Applying the Fundamental Theorem of Calculus, the result of the integral is given as follows:

42 - 0 = 42.

Hence option B is the correct option in the context of this problem.

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the manager of a local stadium is interested in how many fans purchase peanuts at events. in a random sample of ,200 fans chosen from several different events, 94 of them purchased peanuts. what does this data imply about the claim that half of the people who attend events purchase peanuts?

Answers

According to the given data 47% of the fans that attend the event, purchase the peanuts.

The sample collected was among 200 fans which means total fans = 200

out of which 94 fans purchased peanuts which means

Percentage of Fans purchased Peanuts  = \(\frac{94}{200}\)  X 100

                                                                     = 47 %

Not exactly the half of the fans purchased the peanuts but approximately half that is 3% less than 50 % fans puchased the peanuts which implies => 47 % fans purchased peanuts.                

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how would you resolve this problem? reduce the layers in the communication hierarchy and allow more people to communicate directly with each other.

Answers

Problem: How would you resolve this problem? reduce the layers in the communication hierarchy and allow more people to communicate directly with each other.

Reducing the layers in the communication hierarchy and allowing more people to communicate directly with each other can be achieved through the following ways:

1. Eliminating unnecessary communication channels: Reducing the number of people and channels involved in communication can improve efficiency and speed.

2. Using technology: Technology can help people communicate directly with each other and avoid intermediaries.

3. Encouraging open communication: Encouraging employees to communicate directly with each other can reduce the need for a formal communication hierarchy.

4. Decentralizing decision-making: Decentralizing decision-making can reduce the need for formal communication channels and allow people to communicate directly with each other.

5. Increasing face-to-face communication: Increasing face-to-face communication can help build trust and relationships between people, which can make direct communication more effective.

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Devika is making porridge by following this recipe.
She has 3 pints of milk and plenty of other ingredients.
What is the maximum number of whole servings she can make?
Note: 1 pint = 568 ml

Recipe: Serves 1
70 g oats
380 ml milk

Answers

Answer:

4 servings

Step-by-step explanation:

568 x 3 = 1704 ml

1704/380 ≈ 4.5

A well-mixed open tank initially contains 100100 L of water with a salt concentration of 0.10.1 kg/L. Salt water enters the tank at a rate of 55 L/h with a salt concentration of 0.20.2 kg/L. An open valve allows water to leave at 44 L/h and at the same time water evaporates from the tank at 11 L/h.


Required:

a. Determine the amount and concentration of salt at any time (that is, as a function of time

b. What is the limiting concentration?

Answers

According to the question For ( a ) the amount and concentration of salt at any time \(\(t\)\) can be \(\[S(t) = 10 + 11 - 44 \times C(t) \text{ kg}\]\)\(\[C(t) = \frac{S(t)}{100}\text{ kg/L}\]\) . For ( b ) the limiting concentration of salt in the tank is 0.25 kg/L.

To determine the amount and concentration of salt at any time in the tank, we need to consider the inflow of saltwater, outflow of water, and evaporation. Let's denote the time as \(\(t\)\) in hours.

a. Amount and Concentration of Salt at any time:

Let's denote the amount of salt in the tank at time \(\(t\) as \(S(t)\)\) in kg and the concentration of salt in the tank at time \(\(t\) as \(C(t)\) in kg/L.\)

Initially, the tank contains 100 L of water with a salt concentration of 0.1 kg/L. Therefore, at \(\(t = 0\)\), we have:

\(\[S(0) = 100 \times 0.1 = 10 \text{ kg}\]\)

\(\[C(0) = 0.1 \text{ kg/L}\]\)

Considering the inflow, outflow, and evaporation rates, the amount of salt in the tank at any time \(\(t\)\) can be calculated as:

\(\[S(t) = S(0) + \text{Inflow} - \text{Outflow} - \text{Evaporation}\]\)

The inflow rate of saltwater is 55 L/h with a concentration of 0.2 kg/L. Thus, the amount of salt entering the tank per hour is:

\(\[\text{Inflow} = \text{Inflow rate} \times \text{Concentration} = 55 \times 0.2 = 11 \text{ kg/h}\]\)

The outflow rate is 44 L/h, so the amount of salt leaving the tank per hour is:

\(\[\text{Outflow} = \text{Outflow rate} \times C(t) = 44 \times C(t) \text{ kg/h}\]\)

The evaporation rate is 11 L/h, and as only water evaporates, it does not affect the salt concentration in the tank.

Therefore, the amount and concentration of salt at any time \(\(t\)\) can be expressed as follows:

\(\[S(t) = 10 + 11 - 44 \times C(t) \text{ kg}\]\)

\(\[C(t) = \frac{S(t)}{100}\text{ kg/L}\]\)

b. Limiting Concentration:

The limiting concentration refers to the concentration reached when the inflow and outflow rates balance each other, resulting in a stable concentration. In this case, the inflow rate of saltwater is 55 L/h with a concentration of 0.2 kg/L, and the outflow rate is 44 L/h. To find the limiting concentration, we equate the inflow and outflow rates:

\(\[\text{Inflow rate} \times \text{Concentration} = \text{Outflow rate} \times C_{\text{limiting}}\]\)

\(\[55 \times 0.2 = 44 \times C_{\text{limiting}}\]\)

\(\[C_{\text{limiting}} = \frac{55 \times 0.2}{44} = 0.25 \text{ kg/L}\]\)

Therefore, the limiting concentration of salt in the tank is 0.25 kg/L.

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Compare the graph of -6 ≤ x ≤-4 with the graph of x ≤-6 or x ≥-4.

Answers

Answer: By compare the graph of -6 ≤ x ≤-4 with the graph of x ≤-6 or x ≥-4 we can see that in first graph value is x belongs to [-6,-4] and in second graph we can see that x belongs to (-∞,-6] ∪ [-4,∞)

What does a coordinate mean in math?

a pair of values used to specify a point's position on a coordinate plane using the horizontal and vertical breakups from the two reference axes. typically represented by the pair of x-values and y-values (x,y).

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Compare the graph of -6 x -4 with the graph of x -6 or x -4.
Compare the graph of -6 x -4 with the graph of x -6 or x -4.

https://gyazo.com/24fac9fdbb9e01e022cb75d2e76d4949

Answers

Answer:

What

Step-by-step explanation:

IS THAT

the administration team compiled test results for those who had been tested for strep throat in a random sample of 400 sick patients who had been tested. the following relative frequency table shows the data. positive negative total has the flu 54% 6% 60% does not have the flu 8% 32% 40% total 62% 38% 100% based on the data, what is the ratio of false positives to true positives? 6 over 32 8 over 6 8 over 54

Answers

The ratio of false positives to true positives is 8 over 54.

According to the Question

Results of a strep throat test performed on a sample of 400 ill people are displayed in the table's data. People who have the flu and those who don't are separated into two categories. The patients are then separated into groups based on whether they tested positive or negative for strep throat within each of these categories.

We must first define what a true positive and a false positive are in order to calculate the ratio of false positives to true positives. A patient who tests positive for strep throat but does not actually have the illness is said to have a false positive. The 8% of patients in this instance who tested positive for strep throat but did not have the flu would fall under that category. A patient who tests positive for strep throat and truly has the illness is said to have a true positive. That would be the 54% of patients who tested positive for both the flu and strep throat in this instance.

We divide the percentage of false positives (8%) by the percentage of true positives (54%), which gives us the ratio of false positives to true positives.

As a result, the ratio becomes 8% / 54%, or 8/54.

It's critical to remember that this ratio is dependent on the sample and test performed and may not be the same for different populations or testing methodologies.

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Find the equation that passes through points A and B

Find the equation that passes through points A and B

Answers

Answer:

Step-by-step explanation:

A(1,7); B(-3,-1); slope m =(-1-7)/-3-1) = -8/-4 = 2

Equation of a line AB is

((y-y1) = m(x-x1)

y - 7 = 2(x-1)

y - 7 = 2x-2

y = 2x + 5

Answer:

y = 2x +5

Step-by-step explanation:

Equation of a line

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)

The image provides two points A(1,7) and B(-3,-1), thus the slope is:

\(\displaystyle m=\frac{-1-7}{-3-1}\)

\(\displaystyle m=\frac{-8}{-4}\)

m = 2

Now we apply the point-slope form taking the point (1,7):

y - 7 = 2 ( x - 1 )

Operating:

y - 7 = 2x - 2

Adding 7:

y = 2x +5

The names of the automobile manufacturer of the car that you drive is what type of variables ( scales of measurement)

Answers

The type of variable that represents the names of the automobile manufacturers would be the categorical variable.

What are variables in research work?

A variable is defined as the quantity that may change within the context of a mathematical problem, research work or an experiment.

There are various types of variables that include the following:

categorical variables.Nominal variables. Ordinal variables. Numeric variables. Continuous variables. Discrete variables.

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Sofia made $27 cooking hot dogs. This is $13 less than twice the amount Elana made. How much money did Elana make?

Answers

Answer:

28 dollars

Step-by-step explanation:

27 minus 13 equals 14. Which is the first part of the answer.Then 14 'twice' is times 2. So 14 x 2 is 28. Elana made 28 dollars

Answer:

$80

Step-by-step explanation:

27 + 13 = 40

40*2=80

Lucy has 30 bean plants, 24 tomato plants, and 18 pepper plants. She wants to put the plants in rows with only 1 type of plant in each row. Each row will have the same number of plants. How many plants can Lucy put in each row?

Answers

30 because the max amount of plants is 30. so you would need 2 more on tomato nd 12 more on pepper

The measure of A is 75°, and the measure of B is 105°. What is the relationship of angles A and B?

Answers

Answer:

Supplementary Angles

Step-by-step explanation:

Its what they are, 2 angles that add up to 180°

Answer:

They are supplementary angles.

Step-by-step explanation:

Supplementary angles are two angles that add up to 180°

105+75=180

The heights of the bars of a histogram correspond to ______ values.

Answers

The heights of the bars of a histogram correspond to Frequency values.

A histogram is a type of graph used to show the distribution of a dataset. It is used to display the frequency of values within the data set by depicting the number of observations that fall within a set of ranges.

The heights of the bars of a histogram correspond to the frequency of values within the data set.

A histogram is used to illustrate the distribution of data within a set by showing the number of data points that fall within a specified range of values (called bins).

The height of each bar in the histogram represents the frequency of values within the bin range. A taller bar indicates that more data points fall within that range. The area of each bar is also proportional to the frequency of the values in the bin.

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The heights of the bars of a histogram correspond to ______ values.

52÷25
What is the answer :)

Answers

Answer:

2.08 this is answer

What type of triangle is △str? right triangle equilateral triangle isosceles triangle scalene triangle

Answers

The type of triangle is △STR is isosceles triangle.

What's triangle

A triangle is a flat shape bounded by three sides. In another sense, a triangle is formed by three line segments called sides and each side intersects with two other sides.

When classified from its angles, triangles consist of acute triangles, right triangles, and obtuse triangles. Even so, the sum of the angles of a triangle is always 180 degrees. Based on the classification of its sides, triangles consist of equilateral triangles, arbitrary triangles, and acute triangles.

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What type of triangle is str? right triangle equilateral triangle isosceles triangle scalene triangle

What is an equation of the line that passes through the point (5,-8) and is perpendicular to the line 5x-4y=16.

Answers

To find the equation of the line that passes through the point (5,-8) and is perpendicular to the line 5x-4y=16, we need to follow these steps:

1: Rewrite the given equation in slope-intercept form:

5x - 4y = 16

-4y = -5x + 16

y = (5/4)x - 4

So the slope of the given line is 5/4.

2: The slope of a line perpendicular to this line will be the negative reciprocal of 5/4, which is -4/5.

3: Use the point-slope form of the equation of a line, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line, to find the equation of the line:

y - (-8) = (-4/5)(x - 5)

y + 8 = (-4/5)x + (4/5)*5

y + 8 = (-4/5)x + 4

y = (-4/5)x - 4

Therefore, the equation of the line that passes through the point (5,-8) and is perpendicular to the line 5x-4y=16 is y = (-4/5)x - 4.

If the following jobs are sequenced according to the SLACK rule then job A would be completed on day (assume zero for today's date)

Job - Processing Time (days) - Due Date

A 8 12

B 6 15

C 11 17

D 7 10

E 3 8

Select one: A. 7. B. 15. C. 8. D. 12.

Answers

If the jobs are sequenced according to the SLACK rule, Job A would be completed on day 12.

The SLACK rule involves calculating the slack time for each job, which is the difference between the due date and the completion time. The job with the least slack time is prioritized and scheduled first. In this case, the due dates for the jobs are as follows: Job A (12), Job B (15), Job C (17), Job D (10), and Job E (8).

Job A has a processing time of 8 days and a due date of 12, so the slack time is 12 - 8 = 4 days. Since Job A has the least slack time among all the jobs, it would be completed on day 12. Therefore, the answer is D. 12.

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You want to buy a $59 xbox game. How much tax will you pay with 5.5% sales tax? asap besties <3

Answers

Answer:

$3.24 tax

Step-by-step explanation:

5.5% or 0.055 out of 59 is the same as 59 * 0.055

59 * 0.055 = 3.24

Answer:

3.25.

Step-by-step explanation:

59 x .055= 3.245 which rounds to 3.25

Can someone please solve for me

Can someone please solve for me

Answers

Let x = 0.263263263…

Then 1000x = 263.263263263…

Subtracting x gives

1000x - x = 263.263263263… - 0.263263263…

999x = 263

x = 263/999

Adriano runs a website that helps writers write better stories. Every month, Adriano receives a subscription fee of \$5 dollar sign, 5 from each of the subscribers to his website. The website had 200subscribers last month. This month 40 new members joined the website and 10 members cancelled their subscription.
How much money will Adriano’s online business earn this month?

Answers

Considering the definition of an equation and the way to solve it, the money earned by Adriano's online business this month is $1,150.

Definition of equation

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

This case

In this case, you know that every month, Adriano receives a subscription fee of $5 from each of the subscribers to his website. Then, the amount of money earned by Adriano's online business each month will be represented by the following equation:

Money earned by Adriano's online business each month= $5x

where x is the number of subscribers on the website.

On the other hand, you know:

Number of subscribers last month = 200Number of new subscribers this month = 40Number of cancellations = 10

Then, the number of subscribers this month can be calculated as:

Number of subscribers this month = 200 + 40 - 10

Number of subscribers this month = 230

So, the amount of money earned by Adriano's online business this month is calculated by substituting this value in the equation above:

Money earned by Adriano's online business this month= $5×230 subscribers

Money earned by Adriano's online business this month=$1,150

Finally, the money earned by Adriano's online business this month is $1,150.

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Josh has $40 and is saving $10 a day. Sal has
$160 and is spending $5 a day. After how
many
days will they have the same amount of
money?

Answers

Answer:

day eight!!

Step-by-step explanation:

Josh --> starts with $40, saving $10

Sal --> starts with $160, spending $5

day one: josh: $50, sal: $155

day two: josh: $60, sal: $150

day three: josh: $70, sal: $145

day four: josh: $80, sal: $140

day five: josh: $90, sal: $135

day six: josh: $100, sal: $130

day seven: josh: $110, sal: $125

day eight: josh: $120, sal: $120

If Carly has 3 apples and she eats 2 of them how many apples does she have left

Answers

Carly will have one apple left, (3-2=1)

Answer:

SHE HAS ONLY HAS 1 LEFT

Step-by-step explanation:

3 - 2 = 1

1. Which of the following statements is correct? a) The additive inverse of number 0 does not exist. b) The additive inverse of number 1 does not exist. c) The multiplicative inverse of number 0 does not exist. inverse of number 1 does not d) The multiplicative exist.​

Answers

Answer:

c

Step-by-step explanation:

The multiplicative inverse of number 0 does not exist.

When taking the multiplicative inverse of 0, we get :

\(\frac{1}{0}\)This is not defined, as there are no set limits in the denominatorHence, the multiplicative inverse of 0 does not exist

Solve using elimination.
-6x + 2y = 14
x + 4y = -11

Answers

Answer:

8x+6y=-11

Step-by-step explanation:

collect like terms

the answer is X=-3 Y=-2 hope that helped
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