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The sum of 4 consecutive even integers is -12. find the largest integer.

Ipatiy [6.2K]

Answer:

The largest even integer is 0

Step-by-step explanation:

Given as :

The sum of four consecutive even number = - 12

Let The first even number = 2 x

The second even number = (2 x + 2)

The third even number = (2 x + 4)

The fourth even number = (2 x + 6)

According to question

sum of four consecutive even number = - 12

Or, 2 x + (2 x + 2) + (2 x + 4) + (2 x + 6) = - 12

Or, (2 x + 2 x + 2 x + 2 x) + (2 + 4 + 6) = - 12

Or, 8 x + 12 = - 12

Or, 8 x = - 12 - 12

Or, 8 x = - 24

∴ x = $\frac{- 24}{8}$

i.e x = - 3

now, putting the value of x

The first even number = 2 × - 3 = - 6

The second even number = (2 × - 3 + 2) = - 6 + 2 = - 4

The third even number = (2 × - 3 + 4) = - 6 + 4 = - 2

The fourth even number = (2 × - 3 + 6) = - 6 + 6 = 0

So, The largest even integer = 0

Hence, The largest even integer is 0 Answer

6 0

3 years ago

X/4<20.5 Solve for x example of type of answer: 12≥x

Musya8 [376]

Solve for x by simplifying both sides of the inequality, then isolating the variable.
Inequality Form:

x<82

6 0

2 years ago

Read 2 more answers

Which transformations can be used to to show that circle M is similar to circle N

GarryVolchara [31]

Answer: Circle N had a translation of 1 unit right.

Step-by-step explanation:

3 0

3 years ago

Desmond's Desserts made a batch of fresh scones with 2/3 of a pound of butter and 1/2 of a

NemiM [27]

$\frac{1}{6}$ or 0.167 pounds more butter was used than sugar

Solution:

Given that, Desmond's Desserts made a batch of fresh scones with 2/3 of a pound of butter and 1/2 of a pound of sugar

To find: Amount of butter used than sugar

From given information,

$\text{Butter used} = \frac{2}{3} \text{ pound }$

$\text{Sugar used } = \frac{1}{2} \text{ pound }$

To find how much butter is used than sugar, find the difference between them

$Difference = Butter\ used - Sugar\ used$

$Difference = \frac{2}{3} - \frac{1}{2}\\\\Difference = \frac{2 \times 2-1 \times 3}{3 \times 2}\\\\Difference =\frac{4-3}{6}\\\\Difference =\frac{1}{6} = 0.167\\\\$

Thus $\frac{1}{6}$ or 0.167 pounds more butter was used than sugar

5 0

3 years ago

Sketch the region enclosed by y=3x and y=x^2 . Then find the area of the region.

kolezko [41]

Answer:

$A=4.5u^2$

Step-by-step explanation:

The integral of a function gives you the area under the curve, the subtraction of one of the areas from the other will give you the area in between.

The limits of integration are the points where the curves intersect each other(take the curves has a system of equation and solve for x and y):

$y=3x, y=x^2\\3x=x^2\\x^2-3x=0\\x(x-3)=0\\x_1=0\\x-3=0\\x_2=3$

$y_1=3x_1=3(0)=0\\y_2=3x_2=3(3)=9$

The integral will be the subtraction of the curve $y=3x$ and $y=x^2$ (In the graph you can see y=3x is the upper curve):

$\int\limits^3_0 {3x-x^2} \, dx =\left\frac{3x^2}{2}-\frac{x^3}{3}\right|^3_0=\frac{3(3)^2}{2}-\frac{(3)^3}{3}-\left(\frac{3(0)^2}{2}-\frac{(0)^3}{3}\right)\\\int\limits^3_0 {3x-x^2} \, dx =\frac{27}{2}-\frac{27}{3} =13.5-9=4.5u^2$

6 0

2 years ago