Find the solution to the following system by substitution.
y=-2x-3
y = 3x + 12
O A. (-1/2, 3/)
O B. (3,21)
O
C. (-3,3)
о
D. (-3,-9)

Check the picture below.

\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ S = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n=4 \end{cases}\implies S=180(4-2)\implies S=360 \\\\[-0.35em] ~\dotfill\\\\ (40)+(2x)+( ~~ 360-(x+100) ~~ )+(x)~~ = ~~360 \\\\\\ (40)+(2x)+( ~~ 360-x-100 ~~ )+(x)~~ = ~~360\implies 2x+300=360 \\\\\\ 2x=60\implies x=\cfrac{60}{2}\implies \boxed{x=30}\)

Answer:

-13 is the answer ..............

Answer:

\(\frac{31}{33}\)

Step-by-step explanation:

You need a common denominator to add.  The smallest number that is divisible by both 11 and 3 is 33.  Rewrite both fractions with a denominator of 33

\(\frac{3}{11}\) x \(\frac{3}{3}\)         \(\frac{3}{3}\) is just another name for 1.  We are making an equivalent fraction.  Multiple 3 x3 for the top and 11 x 3 for the bottom to get:

\(\frac{9}{33}\)

Do the same for \(\frac{2}{3}\)

\(\frac{2}{3}\) x \(\frac{11}{11}\)       \(\frac{11}{11}\) is just another name for 1.  We are making an equivalent fraction.  Multiple 2 x 11 for the top and 3 x 11 for the bottom to get:

\(\frac{22}{33}\)

Now add these two fractions together:

\(\frac{9}{33}\) + \(\frac{22}{33}\) = \(\frac{31}{33}\)

Answer:

The first option so \((3\frac{1}{2}, -4)\) is the answer

Skills required: Graphing Knowledge, Systems Knowledge

Step-by-step explanation:

1) The solution to any system is the intersection between any 2 lines or functions. In this case, we are given two functions on a graph, and need to find the solution to them. That is the intersection.

2) We can see the intersection and see that the x-axis value for the coordinate point is around 3 1/2 (or 3.5 -- whatever you prefer), and that the y-axis value for the point is -4.

Therefore, the coordinate point is: \((3\frac{1}{2}, -4)\) since this answer best matches the coordinate values of that point.

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

Select the first option, have a nice day! :D

Answer:

\(a_{n}\) = - 4n + 6

Step-by-step explanation:

There is a common difference between consecutive terms of the sequence

- 2 - 2 = - 6 - (- 2) = - 10 - (- 6) = - 14 - (- 10) = - 4

This indicates the sequence is arithmetic with explicit formula

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 2 and d = - 4 , then

\(a_{n}\) = 2 - 4(n - 1) = 2 - 4n + 4 = - 4n + 6

The true statement about these graph is that: B. the graph of the original function (y = 8/5x + 4) is perpendicular to the graph of the new function (y =- 5/8x + 8).

A graph can be defined as a type of chart that's commonly used to for the graphical representation of data on both the horizontal and vertical lines of a Cartesian coordinate, which are typically known as the x-axis and y-axis respectively.

Mathematically, the standard form of the equation of a straight line on a graph is given by;

y = mx + c

Where:

In Mathematics, the condition for perpendicularity of two (2) lines is as follows:

m₁ × m₂ = -1

8/5 × (-5/8) = -1

Based on the graph (see attachment) of the original function and new function, we can infer and logically deduce that the true statement about their graph is that the graph of the original function (y = 8/5x + 4) is perpendicular to the graph of the new function (y =- 5/8x + 8).

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Complete Question:

Suppose the following function is graphed. y = 8/5x + 4 On the same grid, a new function is graphed. The new function is represented by the following equation. y =- 5/8x + 8. Which of the following statements about these graphs is true?

A. The graphs intersect at (0,8).

B. The graph of the original function is perpendicular to the graph of the new function.

C. The graph of the original function is parallel to the graph of the new function.

D. The graphs intersect at (0,4).

Answer:

225

Step-by-step explanation:

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Answer:

100% = 90

50% =45

90 + 45 =135

150/100 x 90 = 135

Given:

Find-:

Select the graph that best describes the inequalities and system of inequalities.

Explanation-:

Graph of first inequality is:

Graph of the second inequality:

So the graph of inequality.



The band will march 3.2 kilometers at the same rate.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

800 meters for every 15 minutes

800 meters  ⇔ 15 minutes

Multiply 4 by both sides

3200 meters ⇔ 60 minutes

Now,

60 minutes = 1 hour

And,

Since 1000 meter = 1 kilometer ⇒ 3200 meter = 3.2 kilometer.

So,

1 hour ⇔ 3.2-kilometer.

Hence "The band will march 3.2 kilometers at the same rate".

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Answer:

6

Step-by-step explanation:

Step-by-step explanation:

4-digit number abcd

a >= 2

a×b = d

so, 2 <= b <= 4 to allow a single digit result of a×b, and if b would be 1 or 0, the result would be either a copy of a or of b violating the rule that no 2 digits are the same.

that means a >= 3, because with a = 2 and b <= 4 the number can't be larger than 2500.

and that again means 2 <= b <= 3 and 3 <= a <= 4 to allow a single digit result of a×b.

the sum of "my digit" ? I guess you mean the sum of all digits is 16.

a + b + c + d = 16

so, my first guess :

a = 3

b = 2

therefore

d = 3×2 = 6

that means we have already 11 as sum of the digits, that leaves 5 for c.

so, the number would be

3256

the only alternative would start with a = 4 and then b = 2.

but that would make d = a×b = 8. abd 8 + 4 + 2 = 14, and that leaves for c only 2 to sum up to 16, and that would duplicate b.

so, 3256 is the only solution.

The estimate of the expressions are:

5/6 ≈ 0.8

√6 + √3 ≈ 4.2

1 - π ≈ -2.1

5 + √6 ≈ 7.4

4 + √3 ≈ 5.7

π/2 ≈ 1.6

√6/√3 ≈ 1.4

√6 ≈ 2.4

5 - √6 ≈ 2.6

√3/ π ≈ 0.6

(π- √3) ≈ 1.4

√11 - 4 ≈ -0.7

π² + 5 ≈ 14.9

√5 + √6 ≈ 4.7

√7 + √8 ≈ 5.4

From the question, we are to evaluate the given expressions.

5/6 ≈ 0.8

√6 + √3 ≈ 4.2

1 - π ≈ -2.1

5 + √6 ≈ 7.4

4 + √3 ≈ 5.7

π/2 ≈ 1.6

√6/√3 ≈ 1.4

√6 ≈ 2.4

5 - √6 ≈ 2.6

√3/ π ≈ 0.6

(π- √3) ≈ 1.4

√11 - 4 ≈ -0.7

π² + 5 ≈ 14.9

√5 + √6 ≈ 4.7

√7 + √8 ≈ 5.4

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Answer:

The distance between (-3, -4) and (6, -4) is 9 units.

Step-by-step explanation:

First, we must know the distance formula between two points.

\(Distance(d)=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

We will use (-3, -4) for (x₁, y₁) and we will use (6, -4) for (x₂, y₂).

\(Distance=\sqrt{(6-(-3)^2+(-4-(-4))^2)}\)

\(Distance=\sqrt{(9)^2+(0)^2}\)

\(Distance=\sqrt{81+0}\)

\(Distance=9\)

So, the distance between the two points is 9 units.

Answer:

-1/6

Step-by-step explanation:

5-4x=6+2x

Add 4x to each side

5-4x+4x=6+2x+4x

5 = 6+6x

Subtract 6x from each side

5-6 = 6+6x-6

-1 = 6x

Divide by 6

-1/6 = 6x/6

-1/6 =x

Answer:

x = -1/6

Step-by-step explanation:

Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

Step-by-step explanation:

3√(x - 4) + 7 = -14

3√(x - 4) = -21 (subtract 7 from both sides)

√(x - 4) = -7 (divide 3 on both sides)

However √y is non-negative for all values of y in the domain of √y.

Hence there is no real solution for x.

Answer:

x = 7.5

Step-by-step explanation:

Answer:

See explanation below.

Step-by-step explanation:

1. (-1, -1) and (2, -2)

  m = -2+1 / 2+1

  m = -1/3

2. (-1, -4) and (0, -1)

  m = -1+4 / 0+1

  m = 3/1

  m = 3

3. (-4, 0) and (-2, -3)

  m = -3-0 / -2+4

  m = -3/2

4. (2, 0) and (0, -3)

  m = -3-0 / 0-2

  m = -3/-2

  m = 3/2

5. (-1, 2) and (-4, -3)

  m = -3-2 / -4+1

  m = -5/-3

  m = 5/3

6. (4, 3) and (1, -4)

  m = -4-3 / 1-4

  m = -7/-3

  m = 7/3

Spanish playing cards have four suits: coins, cups, swords, and clubs, with each suit representing a different aspect of life, and consisting of ten numbered cards and three court cards.

Spanish playing cards traditionally have four suits: coins, cups, swords, and clubs. These suits are similar to the suits found in Italian and Latin American playing cards, but different from the suits found in French and German playing cards. The coins suit represents wealth and commerce, the cups suit represents love and pleasure, the swords suit represents warfare and justice, and the clubs suit represents agriculture and prosperity. Each suit typically contains ten numbered cards and three court cards: the knight, the queen, and the king.

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Answer:

It is the last answer

Step-by-step explanation:

The total that Tony has is 1465 while Gene has a total of 1565, hence they are not equivalent.

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

14 hundreds, six tens, and 5 ones = 14(100) + 6(10) + 5(1) = 1465

1 thousand, 4 hundreds, 16 tens. and 5 ones = 1(1000) + 4(100) + 16(10) + 5(1) = 1565

The total that Tony has is 1465 while Gene has a total of 1565, hence they are not equivalent.

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Answer:

Step-by-step explanation:

Gene has more, also, by the way, aren't you in my school? Do you know Ezekiel?

Answer:

Ming should use 3 teaspoons instead of 4.

Step-by-step explanation:

If you imagine each teaspoon as 25% of 100% then it is a lot easier. If Ming's tea needs to be 25% less sweet, then he should only use 75% of the sugar aka 3 tespoons. Hope this helps and good luck

Answer:

3318.2

Step-by-step explanation:

Since you first have to find out 4% of 4366 (174.64), then what you do is write an equation that states 4366-(174.64*6), then you get your answer :)

Answer:

197

Step-by-step explanation:

-7 + 4 + 200 =

-3 + 200 =

197

Answer:

197

Step-by-step explanation:

=> (-7) + 4 + 200

=> -(7 - 4) + 200

=> -3 + 200

=> 200 - 3

=> 197

\(-7x-9y=-8\)

\(5x+6y=4\)

\(-35x-45y=-40\)

\(35x+42y=28\)

\(-3y=-12\)

\(y=4\)

\(5x+6(4)=4\)

\(5x+24=4\)

\(5x=-20\)

\(x=-4\)

\((-4,4)\)

Hope this helps.

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Answer:

Red Marbles:  600   900

Blue Marbles: 900   1300

Step-by-step explanation:

Answer:

800 blue marble

Step-by-step explanation:

if the ratio is 3:4, multiply Each by 100 and you get 300:400, then multiply by 2 and you get 600:800.

The $1314^\text{th}$ digit past the decimal point is 2.

To find the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$, we can use long division to compute the decimal expansion of the fraction.

The long division of $\frac{5}{14}$ is as follows:

```

0.35    <-- Quotient

-----

14 | 5.00

   4.2    <-- Subtract: 5 - (14 * 0.3)

   -----

     80   <-- Bring down the 0

     70    <-- Subtract: 80 - (14 * 5)

     -----

     100   <-- Bring down the 0

      98    <-- Subtract: 100 - (14 * 7)

      -----

       20   <-- Bring down the 0

       14    <-- Subtract: 20 - (14 * 1)

       -----

        60   <-- Bring down the 0

        56    <-- Subtract: 60 - (14 * 4)

        -----

         40   <-- Bring down the 0

         28    <-- Subtract: 40 - (14 * 2)

         -----

         120   <-- Bring down the 0

         112    <-- Subtract: 120 - (14 * 8)

         -----

           80   <-- Bring down the 0

           70    <-- Subtract: 80 - (14 * 5)

           -----

           ...

```

We can see that the decimal expansion of $\frac{5}{14}$ is a repeating decimal pattern with a repeating block of digits 285714. Therefore, the $1314^\text{th}$ digit past the decimal point is the same as the $1314 \mod 6 = 0^\text{th}$ digit in the repeating block.

Since $1314 \mod 6 = 0$, the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$ is the first digit of the repeating block, which is 2.

So, the $1314^\text{th}$ digit past the decimal point is 2.

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The value of d = 6 and the value of YZ = 42

Since XY=32, YZ=7d, and XZ=74

Based on this question, it should be noted that the addition of XY and YZ will equal to the value of XZ. Therefore,

XY + YZ = XZ

32 + 7d = 74

Collect like terms

7d = 74 - 32

7d = 42

Divide through by 7

7d/7 = 42/7

d = 6

Since d is 6, the value of YZ will be:

= 7d = 7 × 6 = 42

In conclusion, the value of d = 6 and the value of YZ = 42.

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Answer:

The range of a set of data is the difference between the highest and lowest values. In this case, the highest value is 98 and the lowest value is 65, so the range is 98-65 = 33. This means that the scores on the test ranged from 65 to 98, a difference of 33 points.

The range is a measure of the spread of the data. In this case, the range is relatively large, which means that the scores were spread out over a wide range of values. This suggests that the test was challenging and that there was a wide range of student abilities.

True. Nonsampling errors refer to errors that occur during the data collection process that are not related to the sampling method used. These errors can occur in any type of data collection method, whether it be through surveys, experiments, or observational studies.

Nonsampling errors can arise due to a variety of reasons, such as poor survey design, biased sampling methods, inadequate training of surveyors, errors in data entry or processing, or even deliberate fraud.

Nonsampling errors can have a significant impact on the quality of the data collected, as they can introduce biases and inaccuracies into the results. These errors can result in incorrect conclusions and decisions based on the data, which can have serious consequences. Therefore, it is important to take steps to minimize nonsampling errors during the data collection process, such as carefully designing surveys, ensuring proper training of surveyors, and conducting thorough quality checks on the data collected.

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