What is the solution to the system of equations graphed below
Y=2x-7 y=-x-1

The total number of combinations is given as follows:

60.

The Fundamental Counting Theorem states that if there are m ways for one experiment and n ways for another experiment, then there are m x n ways in which the two experiments can happen simultaneously.

This can be extended to more than two trials, where the number of ways in which all the trials can happen simultaneously is the product of the number of outcomes of each individual experiment, according to the equation presented as follows:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

The parameters for this problem are given as follows:

\(n_1 = 6, n_2 = 10\)

Hence the total number of combinations is given as follows:

6 x 10 = 60.

More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/15878751

#SPJ1

ANSWER

The solution is (5, 3)

EXPLANATION

To use elimination method, we have to subtract (or add) one equation from the other, in order to eliminate one of the variables. Then we'll have one equation with one variable. We solve it for that variable and then replace into one of the equations of the system to solve for the eliminated variable.

In these equations, we have +y in the first one and -y in the second one. We can add both equations to eliminate y:

Solving for x:

Now, we have to replace x = 5 into one of the equations and solve for y. Replacing in the first equation:

The solution to this system is (5, 3)

Answer:

-5 x -12

Step-by-step explanation:

Answer:

(0,1),(1,2),(-10, .001),( 3.804,13.997), (5,32)

Answer:

\( y = 4x + 32 \).

Step-by-step explanation:

Here's a solution to the problem.

Given:

Point = (-5, 12)

Slope (m) = 4

Required:

Equation of the line

SOLUTION:

Recall, the equation for slope-intercept form is \( y = mx + b \).

We are given slope (m) as 4. We need to find the value of b to derive an equation of the line.

Simply substitute x = -5, y = 12 and m = 4 into \( y = mx + b \), and solve for b.

\( 12 = 4(-5) + b \)

\( 12 = -20 + b \)

Add 20 to both sides

\( 12 + 20 = b \)

\( 32 = b \)

\( b = 32 \)

Next, substitute m = 4 and b = 32 into \( y = mx + b \).

\( y = 4x + 32 \).

The line of the equation that has a slope of 4, and passes through (-5, 12) is \( y = 4x + 32 \).

Obviously, your calculations are wrong. The above is the right way to solve the problem given.

Answer:

Step-by-step explanation:

ac=3.14/p==\(\beta \alpha\)ty

Answer:

Step-by-step explanation:

Bring to one side

x^2-12x+y^2-8y+27=0

Complete the square

(x^2-12x+A)+(y^2-8y+B)=-27

Answer:

First option is the correct answer

The equation of the circle is: \((x-6)^2+(y-4)^2= 25\)

The center is at (6, 4), and the radius is 5 units.

Step-by-step explanation:

\(x^{2} -12x+27=-y^2 +8y\\\\x^{2} -12x+27+y^2 -8y=0\\(x^{2} -12x+36)-36+27+(y^2 -8y +16)-16=0\\(x^{2} -12x+6^2)+(y^2 -8y +4^2)-25=0\\(x-6)^2+(y-4)^2= 25\\(x-6)^2+(y-4)^2= 5^2\\Equating\: it \: with\\(x-h)^2+(y-k)^2= r^2\\we\:find:\\Center = (h,\:k) = (6,\:4)\\Radius \:(r) = 5\)

it would take him 32 minutes. You could use divisoin and multiplecation to figure it out

Answer:

Each degree of comparison has its own suffix..

Both the adjectives and adverbs are used to make comparisons. The comparatives and superlatives are also used in writing to hedge or to boost the language. Each degree of comparison has its own suffix. The correct option is A.

The comparative form is used to compare two people, ideas or things. The superlative form with the word 'the' is used to compare three or more. The comparative adjectives are used to compare differences between the two objects they modify (larger, smaller, faster, higher).

The comparative form is used in the sentence where two nouns are compared. The comparative adjectives compare one person or the thing with another and enable us to say whether a person or thing has more or less of a particular quality.

One example of comparative adjective is that Josh is taller than his sister.

Thus the correct option is A.

To know more about comparative degrees, visit;

https://brainly.com/question/1301343

#SPJ3

The expression of the mathematical statement given as the difference between 12 and ten times a number is 28 is 12 - 10x = 28

The mathematical statement is given as

The difference between 12 and ten times a number is 28

The difference of numbers means subtraction

So, we have

The difference between 12 and ten times a number is 28 => 12 - ten times a number is 28

Let the number be x

So, we have

The difference between 12 and ten times a number is 28 => 12 - ten times x is 28

The product of numbers means multiplication

So, we have

The difference between 12 and ten times a number is 28 => 12 - 10 * x is 28

Evaluate the product

The difference between 12 and ten times a number is 28 => 12 - 10x is 28

Rewrite as

The difference between 12 and ten times a number is 28 => 12 - 10x = 28

Hence, the expression of the mathematical statement given as the difference between 12 and ten times a number is 28 is 12 - 10x = 28

Read more about expressions at

https://brainly.com/question/723406

#SPJ1

Answer:

Use the Pythagorean therm

Step-by-step explanation:

A squared(one leg) + B square(one leg) = C(aka the hypotenuse)

brainlist plz

The least common denominator for the function \(\frac{11x}{x^2 + 4x - 12} - \frac{7}{2x^2 - 4x}\)

is (x -2).

What is least common denominator?

The least common multiple of a group of fractions' denominators is known as the lowest common denominator, or Least Common Denominator.

According to the given question:

Consider the given expression, \(\frac{11x}{x^2 + 4x - 12} - \frac{7}{2x^2 - 4x}\)

Further simplifying the equation by factorization of the denominator part

= \(\frac{11x}{x^2 + 6x - 2x - 12} - \frac{7}{2x(x-2)}\)

= \(\frac{11x}{(x+6)(x-2)} - \frac{7}{2x(x-2)}\)

= \(\frac{1}{x-2} [\frac{11x}{(x+6)} - \frac{7}{2x}]\)

Therefore, from the above result, it is found that (x-2) is the least common denominator that can be taken.

To know more about factorization visit

brainly.com/question/10718512

#SPJ1

The coordinate of point R after the rotation is determined as = ( - 4, 7).

option A.

A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction.

You can turn a figure 90°, a quarter turn, either clockwise or counterclockwise. When you spin the figure exactly halfway, you have rotated it 180°. Turning it all the way around rotates the figure 360°.

When a figure is rotated 180 degrees, each point of the figure is moved to a new position that is exactly opposite its original position with respect to a fixed center of rotation.

The initial coordinate of point R = ( 4, 7),

The new coordinate of point R after the rotation = ( - 4, 7)

Learn more about rotation of figures here: https://brainly.com/question/13286537

#SPJ1

Hey there!

The answer to your question is y = -3/7x - 9/7

To answer this, we need to get y by itself on one side, so we need to solve for y:

3x - 7y = 9

-7y = 3x + 9

y = -3/7x - 9/7

Hope it helps and have an amazing day!

Answer:

= y + x - 4 = 0

Step-by-step explanation:

a slope or -1

The point = (0,4).

the equation =

\( \frac{y - y1}{x - x1} = m\)

y - 4 = -1

x - 0

note: Perform close multiplication

remember every whole number is over 1

y - 4 = - ( x - 0)

y - 4 = - x + 0

y + x - 4 = 0.

Answer:

670.333...…

Step-by-step explanation:

To begin the conversion to base-3, we divide our number by 3 We don't need to worry about decimal points, just what the remainder is. example:  divide 42 by 3. We get 14 with remainder 0.

Answer:

The answer is 3x^2-13x-10

Step-by-step explanation:

Answer:

3x^2-13x-10

Step-by-step explanation:

(3x+2)(x-5)

3x^2-15x+2x-10

3x^2-13x-10

Answer:

Thus, the original price of the pair of shoes was $100.

Step-by-step explanation:

Percentages

After a 60% discount, the sale price is now valued at 100-60=40% of its original price.

If the sale price is $40, then the original price is calculated as

$40 / 40 * 100 = $100

Thus, the original price of the pair of shoes was $100.

Verify applying 60% discount:

$100 - 60*$100/100 =  $40

Answer:

6 feet per minute.

Step-by-step explanation:

The turtle and snail are moving towards each other, so their speeds add up. Therefore, the combined speed at which they approach each other is:

5 feet/min (turtle's speed) + 1 feet/min (snail's speed) = 6 feet/min

Therefore, the turtle and snail are approaching each other at a speed of 6 feet per minute.

Answer:

6 feet per minute.

Answer:

Discrete probability distribution

Step-by-step explanation:

A weighted average of the possible values that random a valuable can take

Answer:

If the heart rate of a grizzly bear is 10 bpm while hibernating and that is 20% of its heart rate then the heart rate of a grizzly bear in its normal state without hibernating is 50 bpm

Step-by-step explanation:

Set up a ratio

10 bpm = 20%

x bpm   = 100%

100/20 = 5

10 x 5 = 50 bpm

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.

(a) For the series 1+2+3+4+...+392:

Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.

(b) For the series 1+2+3+4...x:

To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).

(c) For the series 546 + 547 + 548 + 549:

Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.

The final answer for each part is:

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

for such more question on series

https://brainly.com/question/29062598

#SPJ8

Answer:

BODMAS RULE

(c-3)²=100

c²-6c+9=100

c²-6c=100-9

c²-6c=91

c²-6c-91=0

then factories

Answer:

1

Step-by-step explanation:

9-8=1

Hope that this is helpful.

Have a nice day.

Answer:

Step-by-step explanation:

The steps you take are 9 - - 8 = 17

difference means subtract. That's what the first - is for.

-8 is the sign on the 8. If you draw a number line and start at - 8 and go all the way to plus 9, you have gone 17 spaces.

If the coordinate is (3, -2) then after the 90° counter-clockwise about the origin. Then new coordinate will be (2, 3).

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Convert the cartesian coordinate to the polar coordinate. Then we have

\(r = \sqrt{3^2 + (-2)^2}\\\\r = \sqrt{9 + 4 }\\\\r = 3.61\\\\\theta = \tan ^{-1}\dfrac{-2}{3}\\\\\theta = -33.69^o\\\\\theta = 326.31^o\)

Then 90° counter-clockwise about the origin, then the angle will be

θ = 326.31 + 90 = 431.31

But θ is from 0 to 360. Then

θ = 431.31 - 360 = 56.31

Then convert the polar coordinate to the cartesian coordinate. Then we have

x = r cosθ

x = 3.61 × cos 56.31

x = 2

and

y = r sinθ

y = 3.61 × sin 56.31

y = 3

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

#SPJ2

Answer:

-2,-3

Step-by-step explanation:

Answer:

20 +(x+15.5)

Step-by-step explanation:

The probability that the marbles selected are of the same colour is; 5/18

The probability that the marbles are the same colour includes:

The total number of marbles = 9 marbles.

Since, the selection is without replacement;

The probability of selecting same colour marbles is;

The probability of selecting same colour marbles is therefore;

Read more on probability;

https://brainly.com/question/24756209

Answer:

the resale value after 4 years would be 11,812.5

Step-by-step explanation:

I'm sorry if this is wrong this is based on what I know :)

Answer:

The answer to your question is $8,384.77

Step-by-step explanation:

Average annual value lost: $12,913.57

First year depreciation: $6,625.00

Total depreciation: $18,115.23

Total depreciation percentage: 68.36%

Value of vehicle at end of ownership period: $8,384.77

I hope this helps and have a wonderful day!