All categories

1 year ago

Part A

Mathematics

1 answer:

atroni [7]1 year ago

5 0

Answer:

0, 2 . . . . . (any pair of consecutive even integers)

Step-by-step explanation:

You want a pair of consecutive even integers such that twice the lesser is 4 less than two times the greater.

<h3>Setup</h3>

Let x represent the lesser of the two even integers. Then the greater is (x+2) and the given relation is ...

2x = 2(x+2) -4

<h3>Solution</h3>

Simplifying gives ...

2x = 2x +4 -4

2x = 2x . . . . . . . true for any even integer x

Any pair of consecutive even integers will satisfy the relation.

one such pair is 0, 2

<em>check</em>: 2(2) -4 = 2(0)

You might be interested in

At noon on the moon the at noon on the moon the temperature was 235 degrees by midnight the temperature had dropped 485 degrees

Pavel [41]

Temperature at mid-night
=235+(-485)
=-250 degrees, whatever the unit was (C,F, R, K).

7 0

4 years ago

Evaluate 5x – 2y + (7x – y) for x = 7 and y = –2.

zepelin [54]

Answer:

Step-by-step explanation:

5x - 2y + (7x - y) = 5 * 7 - 2 * (-2) + (7 * 7 - (-2)) = 35 - (-4) + (49 + 4) = 39 + 53

= 92

8 0

3 years ago

The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x = 0 and x = 3. (10 points) G

navik [9.2K]

f(x)=2x+1

We have to integrate the expression in order to find average rate of change.

$\boxed{\sf {\displaystyle{\int}}x^ndx=\dfrac{x^{n+1}}{n+1}}$

Now

$\\ \sf\longmapsto {\displaystyle{\int}^3_0}f(x)dx$

$\\ \sf\longmapsto {\displaystyle{\int}^3_0}(2x+1)dx$

$\\ \sf\longmapsto \left[\dfrac{2x^2}{2}+x\right]^3_0$

$\\ \sf\longmapsto [x^2+x]^3_0$

$\\ \sf\longmapsto 3^2+3-(0^2+0)$

$\\ \sf\longmapsto 9+3$

$\\ \sf\longmapsto 12$

3 0

3 years ago

Write the augmented matrix for each system of equations.

lidiya [134]

Answer:

Step-by-step explanation:

6 0

3 years ago

kelsey made 2 pitchers of lemonade each pitcher holds 6 cups she poured 4 cups of lemonade from one pitcher what fraction of the

Karolina [17]

Well, easy . all u need 2 do is add one pitcher (6/6) with the remains of the other pitcher (2/6) = 8/6 which turns into 1 and 2/6 which is 1 and 1/3

6 0

3 years ago