how do you do the elimination method? Example: -8+6y=2;16x-3y= -13

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Answer:

B, for plato students that is

Step-by-step explanation:

The simplification of the given expression by the law of indices will be a⁹.

Index (indices) in Maths is the power or exponent which is raised to a number or a variable.

In other words, the mathematics of power or exponent of any number is called indices.

Another example could be 7² = 7³/7 here we divide to obtain power 2.

As per the given expression,

a⁴ × a⁵

By the law of indices that [tex]a^{m} \times a^{n} = a^{m+n}[/tex].

a⁴ × a⁵ = a⁽⁴ ⁺ ⁵⁾ = a⁹

Hence "The simplification of the given expression by the law of indices will be a⁹".

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Information about Laissez-faire's economy is given.

Laissez-faire is a free-market, capitalist economic theory that rejects government interference. The French Physiocrats, who lived in the 18th century, created the laissez-faire ideology. According to proponents of laissez-faire, government involvement in industry and markets hinders economic progress.

Laissez-Faire capitalism allowed businesses to pursue just their financial goals without having to worry about restrictions from the state or taxes. Naturally, this might induce unfavorable externalities and knowledge asymmetries that could enable producers to act badly and get away with it. Laissez-Faire proponents contend that since the market would eliminate such undesirable actors, extensive and expensive regulation is not necessary. However, in practice, negative actors might carry on their operations for a very long time. Without government testing and regulatory oversight to safeguard consumers, for instance, it could not be known if a vitamin manufacturer is putting sawdust in place of herb powder in their capsules.

Therefore, In real world the laissez-faire is a capitalist economy have regulations.

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Answer:

-12 and 2

Step-by-step explanation:

[tex]x^2+10x=24\\[/tex]

[tex]x^2+2*5*x=24[/tex]

[tex]x^2+2*5*x+5^2-5^2=24[/tex]

[tex](x^2+2*5*x+5^2)-5^2=24[/tex]

Using the identity

[tex]a^2+2*a*b+b^2 = (a+b)^2[/tex]

we get

[tex](x+5)^2-5^2=24[/tex]

[tex](x+5)^2-25=24\\[/tex]

[tex](x+5)^2=24+25\\(x+5)^2=49\\(x+5)=+7 \\or (x+5)=-7\\[/tex]

Solving both of them we get

x=-12 or x=2

Answer:

option C

Step-by-step explanation:

In the figure attached, the given quadrilateral will be parallelogram if the given angles ∠7 = ∠3 and ∠8 = ∠4 ( alternate angles ) or ∠1 = ∠5 and ∠2 = ∠6 ( alternate angle )

But the given angles are ∠7 and ∠8 which represent a big angle A when combined.

Therefore, option C  none will be the answer.

Final answer:

The expanded form of 59.69 is 50 + 9 + 0.6 + 0.09.

Explanation:

59.69 written in expanded form can be expressed as:

50 + 9 + 0.6 + 0.09

5 * 10 + 9 * 1 + 0.6 * 0.1 + 0.09 * 0.01

5 * 10 + 9 * 1 + 6 * 0.1 + 9 * 0.01

50 + 9 + 0.6 + 0.09

Therefore, the expanded form of 59.69 is 50 + 9 + 0.6 + 0.09.

Final answer:

The number 59.69 written in expanded form is 50 + 9 + 0.6 + 0.09. Each term represents a digit according to its place value, with tens, ones, tenths, and hundredths places accounted for respectively.

Explanation:

Writing the number 59.69 in expanded form means expressing each digit according to its place value. Expanded form is a way of writing numbers to see the math value of individual digits. The number 59.69 would be broken down as follows:

50 + 9 + 0.6 + 0.09

Each term represents a digit in the number: '5' is in the tens place, so it is represented as 50; '9' is in the ones place, so it is simply 9; '6' is in the tenths place, so it is represented as 0.6; '9' is in the hundredths place, so it is represented as 0.09.

When performing calculations, particularly in subjects such as chemistry, scientific notation is often used to express large or tiny numbers efficiently. For example, to enter a number in scientific notation into a calculator, you must know the correct process, which can vary based on the calculator model. Consulting the instructor or the calculator's manual is advisable if there are any doubts.

Furthermore, working with scientific notation involves understanding how to properly write and interpret the exponents, which indicate how many places the decimal point has been moved.

Answer:15 quarts/1 x 0.95 liter/1 quart

Step-by-step explanation:

Answer: the answer is D

Step-by-step explanation:

Answer:

D. [tex]y=1.87x^2-5.16x+10.54[/tex]

Step-by-step explanation:

The data set is given by,

x                                               y

1                                               5.9

2                                              8.9

3                                              13.4

4                                              20.1

5                                              30.1

6                                              45.1

7                                              67.7

Using the regression calculator, we see that,

Thus, option D is correct.

The value of 32% of 18 is equal to 56.25.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that 18 is 32% of the number w. The value of w will be calculated as:-

18 x  32/100 = w

Solve the above equation by mathematical operations to get the value of w,

18 x  32/100 = w

w = 56.25

Therefore, the value of w will be 56.25.

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Kevin is incorrect because 3:5 may be a simplified ratio.

Kevin is incorrect because 3:5 may be a simplified ratio. Option C is correct.

Given that,
The ratio of girls to boys in a classroom is 3:5. Kevin says there must be 8 students in the classroom. Which explains whether Kevin is correct is to be determined,

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here, the ratio of girls to boys is 3:5, Which implies there are 3 girls over 5 boys in the number, This is the simplified ratio of the girls to boys of the students in the class. So, Kevin says there must be 8 students in the classroom which is right, but Kevin does not explain the proportion in his statement,

Thus, Kevin is incorrect because 3:5 may be a simplified ratio. Option C is correct.

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Answer:

It is easier to visually compare symmetry and skew of the data.

Step-by-step explanation:

Given that the histogram represents the distributions of rain amounts in two cities.

Histogram enables us to have a visual idea easily understandable about the pattern of the distribution.

The important points are whether the distribution is symmetrical or right/left skewed.

Mean, median, std deviations cannot be found easily by justing seeing the histograms.

Hence correct answer is

It is easier to visually compare symmetry and skew of the data.

To round 6541 to the nearest thousand, identify the place value and look at the hundreds place. The answer is 6000.

Rounding 6541 to the nearest thousand:

Identify the place value you are rounding to, which is the nearest thousand.

Look at the hundreds place since we are rounding to the nearest thousand. In 6541, the hundreds digits is 5, so the thousands digit remains 6, and all digits after that become 0. Therefore, 6541 rounded to the nearest thousand is 6000.