Is (2,4) a solution of the equation y=x-2

Answers

Answer 1
Answer: 4 = 2 - 2
4 = 0
Is it a solution for y = x - 2?
No.
Answer 2
Answer:

Final answer:

To determine if a point is a solution to an equation, substitute the values of the coordinates into the equation. The point (2,4) was found to not be a solution to the equation y=x-2.

Explanation:

To test if the point (2,4) is a solution to the equation y=x-2, we replace the 'x' with '2' and 'y' with '4' in the equation.

So if y is indeed equal to x - 2, then, replacing x and y should leave you with a true statement. That will be 4 = 2 - 2. But this results in, 4 = 0 which is not true.

So, (2,4) is not a solution to the equation y=x-2.

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How would you transform 5x + 2x into a single term? Substitute five different values into the expressions 5x + 2x and 7x - 1.

Answers

5x + 2x = 7x
 is it in a single term

Final answer:

The expression 5x + 2x simplifies into 7x. Substituting the values 1, 2, 3, 4, and 5 for x in both expressions yields the results 7, 14, 21, 28, and 35 for 5x + 2x, and 6, 13, 20, 27, and 34 for 7x - 1.

Explanation:

The expression 5x + 2x can be simplified into a single term by adding the coefficients of similar terms. This means you add the 5 and 2 together. The result is 7x.

For substituting different values into the expressions 5x + 2x and 7x - 1, let's use 1, 2, 3, 4, and 5 as the values for x.

  1. For x=1: 5(1) + 2(1) = 7 and 7(1)-1 = 6
  2. For x=2: 5(2) + 2(2) = 14 and 7(2)-1 = 13
  3. For x=3: 5(3) + 2(3) = 21 and 7(3)-1 = 20
  4. For x=4: 5(4) + 2(4) = 28 and 7(4)-1 = 27
  5. For x=5: 5(5) + 2(5) = 35 and 7(5)-1 = 34

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10% of what number is 30

Answers

'is' in mathematics means equal
'of' in mathematics means multiplication

10% can also be written as 10/100

(10)/(100) * x = 30\n\n(1)/(10)x = 30\n\n\boxed{\bf{x=300}}
10% of 300 is 30

Convert percentage into decimal: 10%/100 = 0.1
Divide decimal by 30: 30 ÷ 0.1 = 300

What is the solution of the linear system of equations?


y=2x-3
y=2x+5

Answers

Hi Brainiac


y=2x-3

y= 2x+5


Ok we need to solve y=2x-3 for y

Now substitute 2x-3 for y in y=2x+5

y=2x+5

2x-3=2x+5

Add -2x

2x-3-2x=2x+5-2x

-3=5

Add 3

-3+3=5+3

0=8

No Solutions


I hope that's help:0

After plotting the data where x equals the length of the side of a polygon, and f(x) represents the area of the polygon, Jack used technology and determined the appropriate model to approximate the area of the polygon, f(x) = x2 + 2x + 3. Use the model Jack created to predict the area of a polygon that has a side length of 3.10
18
19
20

Answers

The area of polygon is 18 sq. units.

What is polygon?

In geometry, a polygon is any closed curve made up of a collection of continuous line segments, without any intersections. Triangles (three sides), quadrilaterals (four sides), and pentagons.

Given that jack has a model f(x) = x² + 2x +3

where f(x) is area of polygon and x shows length of side

area when length is 3

substitute value of x in equation

f(x) = x² + 2x +3

f(3) = 3² + 2ₓ3 + 3

f(3) = 9 + 6+ 3

f(3) = 18

Hence area of polygon according to given equation is 18 sq. units

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We are given the model to approximate the are of the polygon to be
f(x) = x² + 2x + 3
where x is the length of the side
For a polygon with a side length of 3, x = 3
f(3) = 3² + 2(3) + 3
f(3) = 18
The area is 18

Tian makes his own pizza dough. he uses 2 packages of yeast for every 5 cups of flour. if he needs 15 cups of flour to make enough pizza for his family, how many packages of yeast does he need?

Answers

Answer:

6

Step-by-step explanation:

15 x 2/5

Then cross factor

Jeremy drove from Portland to Miami. He determines that the expression 450x + 150 represents the distance in miles he traveled, where x is the number of days after the first day. Which statement describes correctly what the coefficient of x represents?

Answers

Answer:

The coefficient of x represents the number of miles driven each day.

Step-by-step explanation:

The coefficient of x is being multiplied by x, or the number of days. If the expression models the total distance travelled, then Jeremy drove 450 miles each day.