2x - 3y = 16
5x - 3y = 13
solve the systems of equations

[tex] {x}^{2} + 4x - 7 = 0 \\ → {x}^{2} + 4x = 7[/tex]

Add the square of the half of the coefficient of the unknown(x) to both sides of the equation.

[tex] {x}^{2} + 4x + ( \frac{4}{2} {)}^{2} = 7 + ( \frac{4}{2} {)}^{2}[/tex]

[tex] {x}^{2} + 4x + (2 {)}^{2} = 7 + (2 {)}^{2} [/tex]

[tex] {x}^{2} + 4x + (2 {)}^{2} = 7 + 4[/tex]

Bring out x and 2 and square them as shown below:

[tex](x + 2 {)}^{2} = 11[/tex]

Now, square root both sides of the equation to find the value of x as shown below:

[tex] \sqrt{(x + 2 {)}^{2} } = \sqrt{11} [/tex]

Add a + or - sign since it is a quadratic equation

[tex]x + 2 = \binom{ + }{ - } \sqrt{11} [/tex]

[tex]x + 2 = \binom{ + }{ - } 3.3166[/tex]

[tex]x = - 2 + 3.166 [/tex] or

[tex]x = - 2 - 3.166[/tex]

Therefore:

[tex]x = 1.17[/tex] or

[tex]x = - 5.17[/tex]

to two decimal places.

Answer:

12.8 i don't know oof

Step-by-step explanation:

8.2 + 4.6 is 12.8, but I'm not completely sure it's the right answer.

The solution to the system of equations is:

e = 0.109

g = 0.183

Defining the variables:

g = cost of the unit of gas.

e = cost of the unit of electricity.

Then the system of equations is:

150*g + 520*e = 84.20

210*g + 405*e = 82.35

Now we want to solve this.

To do so, we need to isolate one of the variables in one of the equations. Let's isolate g in the first one:

g = (84.20 - 520*e)/150

Now we replace that in the other equation so we get:

210*(84.20 - 520*e)/150 + 405*e = 82.35

Now we can solve this for e:

210*(84.20 - 520*e)/150 + 405*e = 82.35

(210/150)*(84.20 - 520*e) + 405*e = 82.35

117.6 - 728*e + 405*e = 82.35

117.6  - 323*e = 82.35

e = (117.6  - 82.35)/323 = 0.109

Then:

g = (84.20 - 520*0.109)/150 = 0.183

Then we can conclude that:

e = 0.109

g = 0.183

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After the translation the coordinates of L' are (-3, 0) for the new triangle of U’M’L’.

The coordinates of triangle are-

U (-3, -4), M(-1, -1) , and L(-2, -5).

The triangle is translated 5 units up and 1 unit left to its original place.

Thus, for the 5 units up translation 5 units will get added to the y-coordinates.

New y-coordinate of L' is -5 + 5 = 0.

For 1 unit left , 1 units will get reduced from the original x-coordinate.

New x-coordinate = -2 - 1 = -3

Thus, the new coordinates L' becomes (-3, 0).

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Answer:  29

Step-by-step explanation:

-21 - 8 = 29

The reason why it's a positive instead of a negative is because when you have an even number of positives in an equation the answer will always be positive and vice versa.

Answer:

D. -3b + 5 divided by -3

Step-by-step explanation:

I'm not too sure but i think its this because when you divide by a negative number you have to flip the sign and since you are solving for x you will minus the b term on both sides. But im not too sure keep thinking about it

Step-by-step explanation:

23+35

37+83=4733

24783+3747

Answer: are there any options?

Step-by-step explanation:

Answer:

difference of 27 m

Step-by-step explanation:

starts at 21m and ends at -6m

21+x=-6

(rearrange so the X is by itself)

21+6=x     x=27

Answer:

A. 25h+30=80

B.25(2)+30=80

Nearer to the north pole is Bill.

The path that an object moves along is referred to as its direction. A feature's direction can alternatively be defined as its location in relation to another feature's position.

The four cardinal directions—north, south, east, and west—are often known by their first letters: N, S, E, and W. These directions are the four major points of a compass.

The cardinal points are another name for these four directions.

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Answer:

16 is correct Answer. Please mark me as brainlist answer.

The number 0.1875 is a Rational number.

What is Rational number?

If a number can be expressed as a fraction of two integers then its called Rational number.

Given that;

The number = 0.1875

Now, Determine if it is rational or not we can convert it into fraction as;

0.1875 = 1875/10000

Divide numerator and denominator by 25,

= 75/400

Again, Divide numerator and denominator by 25,

= 3/16

Clearly, The above is a rational number because it can be expressed as a fraction of two integers.

So, The number 0.1875 is a Rational number.

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Answer:

No solution!

Step-by-step explanation:

I just took the quiz and got 100%

If angle A and angle B are vertical angles. If m angle A=(2x+20)^ and m angle B=(3x+1)^ then x has a value of 19.

What is the Vertical Angles Theorem?

The Vertical Angles Theorem states that if two lines intersect, then the vertical angles formed by the intersecting lines are congruent.

Vertical Angles Theorem states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent. Vertical angles are always congruent angles,

By the Vertical Angles Theorem, we know that angle A is congruent to angle B.

Therefore, we can set their angle measures equal to each other and solve for x:

2x + 20 = 3x + 1

Subtract 2x from both sides:

20 = x + 1

Subtract 1 from both sides:

19 = x

Hence, x has a value of 19.

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Answer:

x = -2

Step-by-step explanation:

5x - 5 = 9x + 3

- 5 = 4x + 3

- 8 = 4x

- 8/4 = 4x/4

x = -2

Answer: B and D

Step-by-step explanation:

B.)   -4 x (-3) x 2

       -4 x (-3) = 12 x 2 = 24

D.   -1 x 1 x (-1)

     -1 x 1 = -1 x (-1) = 1

So far, he has ridden 70% of the bike course.

Percentage, which was adapted from the Latin word "per centum", which means "by the hundred", is a fraction or a ratio in which the value of whole is always 100. It is represented by the symbol "%".

The formula to get the percentage is:

Percentage = (Value / Total Value) × 100

If the total value of the bike course is 40 miles and the value which the percentage we are looking for is 28 miles, evaluating the equation:

Percentage = (Value / Total Value) × 100

Percentage = (28 / 40) × 100

Percentage = (0.7) × 100

Percentage = 70

Therefore, he has ridden 70% of the bike course so far.

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Denominator: The value in a fraction that appears below the fractional bar and indicates the total number of equal parts.

In a fraction, the value that appears above the horizontal line is referred to as the numerator. It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the vinculum.

A mixed number is a representation of both a whole number and a legal fraction. In most cases, it denotes a number that falls between any two whole numbers.

An integer that totally or partially divides another integer is known as a divisor.

In a division equation, a divisor is represented by the formula

Dividend ÷ Divisor = Quotient.

The correct option is (a).

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The standard deviation of the distribution = 1.5°F

Given that the distribution of daily high temperature is approximately normal.

Population mean, [tex]\mu[/tex] = 86°F

Also approximately 95% of all daily high temperatures are between 83°F and 89°F.

So here [tex]X_1[/tex] = 83°F and [tex]X_2[/tex] = 89°F

We have the z - statistic ,

             [tex]z=\frac{x-\mu}{\sigma}[/tex]

where [tex]\sigma[/tex] is the Standard deviation.

For 95% probability, the z-value for normal distribution is 1.96.

As we consider the positive z-value, take X =  [tex]X_2[/tex] =  89°F

So,   [tex]z=\frac{x-\mu}{\sigma}[/tex]

⇒  [tex]\sigma = \frac{x-\mu}{z} = \frac{89-86}{1.96} =1.53[/tex] ≈ 1.5°F

So the standard deviation of the distribution = 1.5°F

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Answer:

Equation: 5 + 2x = 3x + 3  ; Answer: x = 2

Step-by-step explanation:

Try and re-reading the question until you truly grasp the concept of it or write an equation by reading each word and making sure the operations are suitable according to the text. Then, finally, simply just solve.

Hope this helps! :D

Answer:

2x + 2 + h.

Step-by-step explanation:

F(x+h) is f(x) where x+h replaces x:-

f(x + h) = (x + h)^2 + 2(x + h) - 3

[f(x+h) - f(x)] / h

= (x + h)^2 + 2(x + h) - 3 - (x^2 + 2x - 3)  /  h

= [x^2 + 2hx + h^2 + 2x + 2h - 3 - x^2 - 2x + 3] / h

= (2hx + h^2 + 2h) / h

= 2x + 2 + h

The limit of [f(x+h) - f(x)] / h as h ----> 0 is 2x + 2.

We refer to 2x + 2 as the derivative of x^2 + 2x - 3.

The required equation would be t  = (nRT + 5ab)/M which is the result of the equation for t.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation is given as

Mt - 5ab = nRT

We have to determine the result of solving this equation for t

⇒ Mt - 5ab = nRT

⇒ Mt  = nRT + 5ab

⇒ t  = (nRT + 5ab)/M

Therefore, the required equation would be t  = (nRT + 5ab)/M which is the result of the equation for t.

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Answer:

80

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] = [tex]\frac{x}{120}[/tex]  To get 120 we needed to multiply 3 by 40, so we will multiple 2 by 40 to get 80.

Answer:

5.2

Step-by-step explanation:

add back 0.8 from 7 am temp which is 4.4 degrees.

Answer:

5.2 °C

Step-by-step explanation:

4.4°C + 0.8°C = 5.2°C

Ratios which are not equivalent to 3: 5 are 13: 15, 7:9, 5:3.

As given in the question,

Mo is sorting number cards with ratios

Ratio = 3 : 5

Equivalent ratio to 3 : 5

13 : 15 cannot be reduced.

13 : 15 not equivalent to 3:5

30:50 = (3 ×10) : (5×10)

          = 3:5

7:9  cannot be reduced . It is not equivalent to 3:5

3x:5x = 3:5

5:3 reciprocal of 3:5 .It is not equivalent to 3:5.

Therefore, ratios which are not equivalent to 3: 5 are 13: 15, 7:9, 5:3.

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Step-by-step explanation:

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Step-by-step explanation:

i dont understand the answer noksf okay

Answer:

- 1 makes the equation true

Step-by-step explanation:

2s - 10 = - 12 ( isolate the term in s by adding 10 to both sides )

2s = - 2 ( divide both sides by 2 )

s = - 1

The integer ion in the solution set will make the equation true is -1. The correct option is a.

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers.

An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Any positive or negative number without fractions or decimal places is known as an integer, often known as a "round number" or "whole number."

Given equation is

2s - 10 = - 12 ( isolate the term in s by adding 10 to both sides )

2s = - 2 ( divide both sides by 2 )

s = - 1

Therefore, the correct option is a, −1.

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