Subtract -4x^2 -x + 10 from x^2 + 10x

The y-coordinate of the solution of the equation will be 2.

Given that:

x - 2y = 4

x + 3y = 14

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

If the slopes are different then the lines are intersecting.

And if the slopes are different then the system has one solution.

The lines are drawn on the graph and their intersection point will be (8, 2).

The y-coordinate of the solution of the equation will be 2.

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Actual time is much longer than the 50-year timeframe suggested by the speaker.

How to verify the statement?

This claim is based on the assumption that the rate of pollution reduction from each factory remains constant at 80%, and the number of factories increases by 3% per annum.

To verify this claim, we can use the following formula to calculate the expected total pollution after n years:

Total pollution after n years = \(Present \: pollution \: level x (1 + 0.03)^n \times (1 - 0.8)^n\)

Here, the first factor represents the increase in pollution due to the growth in the number of factories, and the second factor represents the reduction in pollution due to the 80% reduction in pollution from each factory.

We can set the expected total pollution after n years equal to the present pollution level and solve for n:

\(Present \: pollution \: level = Present \: pollution \: level \times (1 + 0.03)^n \times (1 - 0.8)^n\)

Simplifying this equation, we get:

\(1 = 1.03^n \times 0.2^n\)

Taking the logarithm of both sides of the equation, we get,

\(n \times log(1.03) + n \times log(0.2) = 0 \\ n \times (log(1.03) + log(0.2)) = 0 \\ n = \frac{0} { (log(1.03) + log(0.2))} \\ n = 271.56\)

Therefore, according to this calculation, it would take approximately 272 years for the total annual pollution to return to its present level if the number of factories in the country increases by 3% per annum, and they all immediately reduce the amount of pollution they produce by 80%. This is much longer than the 50-year timeframe suggested by the speaker.

It is important to note that this calculation assumes that the pollution reduction from each factory remains constant at 80% and does not take into account any other factors that may affect pollution levels, such as changes in technology or regulations. Therefore, this should be considered as a rough estimate and not as an exact prediction.

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Correct question is "A speaker claimed that if the number of factories in the country increases by 3% per annum, then even if they all immediately reduced the amount of pollution they produce by 80%, the total annual pollution will be back to its present level in about 50 years. Verify the statement. (use logarithm)"

Answer:

6 hours

Step-by-step explanation:

I assume the balance is on a credit card. He needs to pay off the $54.

He earns $9/hour.

$54/($9/hour) = 6 hours

In 6 hours he earns $54, and he can pay $54 to zero his balance.

Answer: 6 hours

Answer:

Step-by-step explanation:

Answer:

x=11.75

Step-by-step explanation:

The mixed numbers are subtracted to get 6 4/5

To subtract mixed numbers  we follow the following steps

convert the mixed numbers to improper fractions.

9 3/5 = (9 × 5 + 3) /5 = 48/5

2 4/5 = (2 × 5 + 4 )/5 = 14/5

Subtract the fractions.

= 48/5 - 14/5

= (48 - 14)/5

= 34/5

convert the improper fraction back to a mixed number

34/5 = 6 4/5

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Answer:hi

Step-by-step explanation:

its d

Answer:

it is a zero dimensional point

Step-by-step explanation:

points are an exact location represented by a dot.

points do not have dimension (length, width, or height)

Answer:2 b

Step-by-step explanation:3 h

Answer:

thats your answer

Step-by-step explanation:

We can use the concept of Line Intercept form . She should count up 2 and right 1 . So the correct option is D.

When you know the slope of the line to be investigated and the given point is also the y intercept, you can utilize the slope intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula. We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable. Set x = 0 and then solve for y to find the y-intercept.

  y=mx+b is the slope intercept formula

The given equation is y=2x-7.

By comparing to slope intercept formula y=mx+b,

   m=2 and b=-7.  

   So the slope of the given equation is 2 and y-intercept is (0,-7).

we know that,

             m=rise/run

             so rise=2 and run=1 that means Sam needs to count up 2 and right 1 to graph the equation using the given slope.

We can use the concept of Line Intercept form . She should count up 2 and right 1 . So the correct option is D.

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The method of counting seeds by touching each can be more effective in enhancing strong number sense in children as it allows them to experience each number physically and helps them in developing a strong sense of numbers.

In order to enhance strong number sense in children, there are various methods that can be used.

In the given scenario, Mme Potatana asked the children to count as a whole class from 1 to 20 while Ntate Mafodi asked the children in his class to count seeds from the school's ground in a pile by touching each as they count.

Both methods have their own benefits, but the method of counting seeds by touching each can be more effective in enhancing strong number sense in children.

The method of counting seeds by touching each can be more effective in enhancing strong number sense in children because it allows them to experience each number physically.

This helps them in developing a strong sense of numbers. By touching each seed as they count, children can feel and see each number, which helps them in understanding numbers better. Additionally, it helps in developing the concept of one-to-one correspondence and counting by rote.

Here are some appropriate examples for enhancing strong number sense using the method of counting seeds by touching each:

1. Use counters: Provide children with counters such as small objects, blocks, or toys. Ask them to count the number of counters by touching each as they count.

2. Counting on fingers: Encourage children to count on their fingers. This helps them in developing a strong sense of numbers and helps them in understanding the concept of one-to-one correspondence.

3. Counting objects in a pile: Ask children to count objects in a pile by touching each as they count. This helps in developing the concept of counting by rote and helps in enhancing strong number sense.

Overall, the method of counting seeds by touching each can be more effective in enhancing strong number sense in children as it allows them to experience each number physically and helps them in developing a strong sense of numbers.

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If you made a pie and then ate two slices of it, the first pie would be missing two slices of pie. If you then made two more slices of pie for another pie, the first pie would be missing a total of four slices of pie. This is because you took two slices of pie from the first pie and added them to the second pie, leaving the first pie with two fewer slices than it originally had.

Answer:

The first pie would be missing four slices in total

Step-by-step explanation:

If you make a pie and then eat two slices of it, there would be two missing slices from the first pie. If you then make two more slices of pie for another pie, the first pie would be missing a total of four slices. The first pie would be missing four slices in total.

Answer:

The answer would be 6 wheels per bus

Step-by-step explanation:

you would have to divide 30 by 5 and the answer to that is 6

x = -3y - 9 is the answer to the equation x+3y+9=0

Mathematics a number or values that, when used as a substitution for one or more variables inside an equation, makes the equation true. For instance,\(x^{2} = 4\) has two solutions, which are 2 & -2.

Because it is not a system, the single equation in a set of linear equations cannot be solved.

There are two or more multiple-variable equations in a linear equation system. The location that simultaneously fulfills all of the lines in the system, which each equation represents as a line, is the system's solution.

In the case of a single equation with a single variable, the answer can be obtained by solving for the variable. By removing 3y & 9 both from sides of the equation, x = x + 3y plus 9 = 0, we may find the value of x.

x = -3y - 9

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Answer:

Option c

Step-by-step explanation:

3/4 multiplied by 16/5

3/4×16/5

12/5

Option c is correct

The product between 3/4 and 16/5

The formula to calculate the total amount in her savings account after y years, with an interest of 7% is:

Where S is the inicial saving

Thereby, after 5 years and a total of $1000.00 in her account,

Therefore, Norma's initial deposit was $712.99

Answer: \(C=270x+2200\)

Step-by-step explanation:

Given

Cost per student in the year 1978 is $2200

The cost increases to $10,300 in 2008

Suppose \(C=mx+a\) is the linear equation defining the cost per student after x years

Substitute the value for 1978

\(\Rightarrow 2200=m(0)+c\\\Rightarrow c=2200\)

After 30 years it becomes

\(\Rightarrow 10,300=m(30)+2200\\\Rightarrow 30m=8100\\\Rightarrow m=270\)

Thus, the linear equation becomes

\(\Rightarrow C=270x+2200\)

The interviewer should provide clear and concise feedback on the candidate's performance in the interview, and ensure that the feedback is related to the job requirements.

In addition, the interviewer should ask relevant questions to get an idea about the interviewee's knowledge, skills, and abilities.Overall, the interviewer should strive to be fair and objective throughout the interview process, to minimize the risk of Unbiased Errors.

An interviewer officer selects a person not suitable for the job, this error is known as Unbaised Error.What is an Unbiased Error?An Unbiased error happens when you make an incorrect judgment regarding the interviewee, which may occur when the interviewer is unable to assess the interviewee objectively.

There are many factors that could contribute to an Unbiased Error, such as the interviewer's opinions and preconceptions, their biases or prejudices, the interviewer's inadequate understanding of the job requirements, or the applicant's inadequate preparation for the interview.In an unbiased interview, the interviewer does not have any preconceived ideas or predetermined judgments about the interviewee's knowledge, skills, or abilities.

The interviewer should be able to provide equal chances for all applicants, regardless of their gender, ethnicity, or any other factors that are not related to the job requirements.The interviewer should also assess the interviewee objectively, with no favoritism or bias.

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Answer:

Step-by-step explanation:

Hello!

To estimate the average number of hours a student their highschool sleeps per night, the students of the statistics class took as sample the first 120 students that arrived at the school on a particular day, out of the 1200 student population, and asked how many hours of sleep they got the night before.

The population of interest is the entire group of experimental units that exists in the world, in this example is the student body of the high school: 1200 students.

The sample is formed by the students that were interviewed: 120 students.

The parameter of interest is the average sleep time per night of the students in high school.

Correct answer:

(D) Sample: the 120 students surveyed. Population: the 1200 students at the high school. Statistic: The average number of hours a student at this high school sleeps per night.

Answer:

Step-by-step explanation:

a) Let's denote the number of coffees sold as 'x' and the number of cappuccinos sold as 'y'.

The equation that represents the given information is:

2.50x + 3.75y = 222.50

b) To solve the equation, we need to find the values of 'x' and 'y' that satisfy the equation.

Since we have two variables and only one equation, we cannot determine the exact values of 'x' and 'y' independently. However, we can find possible combinations that satisfy the equation.

Let's proceed by assuming values for one of the variables and solving for the other. For example, let's assume 'x' is 40 (number of coffees):

2.50(40) + 3.75y = 222.50

100 + 3.75y = 222.50

3.75y = 222.50 - 100

3.75y = 122.50

y = 122.50 / 3.75

y ≈ 32.67

In this case, assuming 40 coffees were sold, we get approximately 32.67 cappuccinos.

We can also assume different values for 'x' and solve for 'y' to find other possible combinations. However, keep in mind that the number of drinks sold should be a whole number since it cannot be fractional.

Therefore, one possible combination could be around 40 coffees and 33 cappuccinos sold.

Given the arithmetics sequence 2, 24, 46... we are to find the 35th erm of the sequence

The nth term of an arithmetic sequence is expressed as;

Tn = a + (n-1)d where;

a is the first term

n is the number of terms

d is the common difference

From the sequence;

a = 2

d = 24-2 = 46-24 = 22

n =35 (since we are looking for the 35th term)

Substitute this values into the formula;

T35 = 2 +(35-1)(22)

T35 = 2 + (34)(22)

T35 = 2 + 748

T35 = 750

Hence the 35th term of the sequence is 750

Answer:

35,836

Step-by-step explanation:

I had this question before and I believe this is correct.

Answer:

the population 35,836 in 10 years.

Step-by-step explanation:

The numbers representing the population in consecutive years create a geometrical sequence with:

a1 = 22,000

and

q = 1 + 0.5 = 1.05

We are asked to find the population after

10 years. This number is the eleventh term in the sequence, so we are looking for:

a11 = a1 ⋅ q^10 = 22, 000 ⋅ (1.05)^10

After substitution of given data we have:

a11 ≈ 35, 836

*Answer:* "After 10 years the population will be 35, 836."

Answer:

-0.4

Step-by-step explanation:

3d-4 where d=1.2

substitute 1.2 for d and solve

3(1.2)-4

3.6-4= -0.4

9514 1404 393

Answer:

  (d)  The mean of X, the mean of Y, and the slope

Step-by-step explanation:

A point on the linear regression curve is (mean(x), mean(y)). With that point and the slope, the equation of the line can be found. That equation will reveal the y-intercept.

  y-intercept = mean(y) -slope·mean(x)

Answer:

What percent of the large square is shaded? The grid is divided into 10 rectangles. For percents, you need to look at 100 equal-sized parts of the whole

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

A rectangle as four sides, and as we know, two of the sides equal each other. I would first start by drawing a rectangle. On one length on the outside of the triangle, put x. On the opposite congruent length, put x again since we know the sides are the same. You should have two blank sides left. On both of those sides, put 3x3 + 9 - x2 (I am assuming that you meant x squared whenever you said x2. Let me know if I assumed incorrectly. Because the length is 6, we know that x must be six. Now substitute everything that says x with the number six. Use parenthesis so you don't confuse it with other numbers. (6.) Now add everything up. You should be adding 3x3 + 9 - (6)2+ 3x3 + 9 - (3)2 + 6 + 6. Your final answer should be 24.

Then again, because this question could of meant 2x rather than x^2, this could be completely wrong, so if you take a picture of the exact question I will be able to help you better. Also, I'm not sure if your 3x3 is an x or an multiplication sign.  

The value of fraction 0.5 7  is equal to 1/2.

We are given that;

Number = 0.57

Now,

There are different ways to express a fraction as a decimal, but one common method is to divide the numerator by the denominator.

For example, 1/2 as a decimal is 1 ÷ 2 = 0.512.

Another method is to use a fraction to decimal conversion chart or calculator345. According to these sources, 0.5 as a fraction is equal to 5/10 or 1/2.

These fractions are equivalent because they have the same value when simplified or reduced.

To simplify a fraction, we can divide both the numerator and the denominator by their greatest common factor (GCF).

Therefore, by algebra the answer will be 1/2.

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