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2 years ago

Select all statements that are true about the linear equation. y=−2x+4

Mathematics

1 answer:

Zolol [24]2 years ago

5 0

Answer:

Statement 3 and Statement 4 are true about linear equation is y=(-2)x+4

Step-by-step explanation:

The given linear equation is y=(-2)x+4

Now,

Statement 1: The graph of the equation is the set of all points on the coordinate plane.

No,

The graph of equation is set of points on the given equation of line.

Statement 2: The point(0,2) lies on the graph of the equation.

No,

The linear equation is y=(-2)x+4

For point (0,2)

2=(-2)0+4

2=4

FALSE, The point (0,2) does not lies on the graph of the equation.

Statement 3: The graph of the equation is the set of points that are solutions to the equation.

Yes,

The given linear equation is line and set of all point lies on the line are solution of the equation.

Statement 4: The point (1,2) lies on the the graph of the equation.

Yes,

The linear equation is y=(-2)x+4

For point (1,2)

2=(-2)1+4

2=2

TRUE, The point (1,2) lies on the graph of the equation.

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vivado [14]

Answer:

The answer is 295 square yards.

Step-by-step explanation:

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Subtract 3456 by 576

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Hope this helped!

7 0

2 years ago

The average of a set of 18 consecutive integers is 22.5. what is the smallest integer in the set?

quester [9]

The sum of the 18 numbers is 22.5 x 18 = 405.
Let the numbers be x, x + 1, x + 2, . . ., x + 17

Sum of n term of an arithmetic sequence = n/2(a + l)
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x = 28/2 = 14

Therefore, the smallest integer is 14.

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2 years ago

Harman [31]

To determine whether the corresponding terms of 2 arithmetic sequence's added will give new arithmetic sequence or not, Let' take 2 Arithmetic sequences.

In one first term is a1 and common difference is d1, in the other first term is a2 and common difference is d2.

Now nth term for first sequence = a1+(n-1) d1

nth term for second sequence = a2+(n-1) d2

Now add the 2 terms: a1+(n-1)d1 +a2 +(n-1)d2

= a1+a2 + (n-1)(d1+d2)

This is again new arithmetic sequence with first term a1+a2 and common difference d1+d2.

Hence if we add corresponding terms of 2 arithmetic sequence, we will again get an arithmetic sequence.

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