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nignag [31]
3 years ago
10

The sum of 4 consecutive even numbers is 36

Mathematics
1 answer:
AVprozaik [17]3 years ago
4 0

Answer:

first number=6

second number=8

third number= 10

fourth number= 12

Step-by-step explanation:

first number=a

second number=b

third number= c

fourth number= d

we have the following equations

a=2n   equation 1

b=2n+2   equation 2

c=2n+4    equation 3

d=2n+6    equation 4

a+b+c+d=36  equation 5

using equations 1, 2, 3  and 4 in equation 5 we have

2n+2n+2+2n+4+2n+6=36

8n+12=36

8n=36-12

8n=24

n=24/8=3

so we have

a=2*3=6 =first number

b=(2*3)+2=8= second number

c=(2*3)+4=10=third number

d=(2*3)+6=12=fourth number

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If f (x) = 2 x + 5 and three-halves are inverse functions of each other and f (x) = 2x + 5, what is
marusya05 [52]

Answer:

See explanation

Step-by-step explanation:

The question has conflicting details

f(x) = 2x + 5

f(x) = 2x + 5 and three halves doesn't sound correct.

So, I will take f(x) as

f(x) = 2x + 5

Next, solve for the inverse function

Replace f(x) with y

y = 2x + 5

Swap x and y

x = 2y + 5

Make 2y the subject

2y = x-5

Make y the subject

y = \frac{x-5}{2}

Replace y with the inverse sign

f^{-1}(x) = \frac{x-5}{2}

So, now we can calculate any value from the original function and from the inverse function.

For instance:

f^{-1}(7) = \frac{7-5}{2} = \frac{2}{2} = 1

f(1) = 2*1 + 5 = 2+5=7

7 0
3 years ago
please please answer will give brainliest
butalik [34]

Answer:

5,720,000 Sq Feet.

Step-by-step explanation:

They are asking the Area of a Trapezoid

Equation =( base + base / 2) x height

Lets first set it up. We know that A-B is 200 feet. & D-C is 260. They are both the bases.

So if you multiply them (200 x 260) You will get 52000.

Now we divide that by 2. (52000 / 2 = 26000)

Now it says the straight line is 220. I think this refers to the height.

Now we multiply 26000 x 220. Which is 5720000.

Its a pretty big number, but that is the answer! :)

Hope this helps!

3 0
3 years ago
tom and tyler race starting at the bottom of their cuboids to reach a crumb in the bottom corner. If they take the fastest route
Klio2033 [76]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
What number would you add to complete the square? x^2+14x=0
hjlf
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7 0
4 years ago
Find the simplified product 2 square root 5x^3(-3 square root 10x^2
Ivanshal [37]

The simplified product of 2\sqrt{5x^{3} } and -3\sqrt{10x^{2} } is -30x^{5/2} \sqrt{2}.

Given Two expressions: -3\sqrt{10x^{2} } and 2\sqrt{5x^{3} }.

We have to multiply both the expressions and it can be done as under:

-3\sqrt{10x^{2} } *2\sqrt{5x^{3} }

Firstly we have to multiply -3 with 2 to get

=-6\sqrt{10x^{2} }\sqrt{5x^{3} }

Then we have to find square root of x cube and x square which is x to the power 3/2 and x to the power 1.

=-6x^{3/2} x\sqrt{10}\sqrt{5}

Now we have to multiply both the numbers in the root to get the answer;

=-6x^{5/2} \sqrt{50}

Square root of 50 is 5 root 2.

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=-30\sqrt{2}x^{5/2}

Hence the simplified product is -30\sqrt{2}x^{5/2}.

Learn more about product here brainly.com/question/10873737

#SPJ10

5 0
2 years ago
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