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USPshnik [31]
3 years ago
8

There are three consecutive integers. The product of the first and the last is 35 more than 5 times the second number. Find thes

e integers.
Will give brainliest to best answer

will give thanks and 5 stars rating to good answers!


Please show all work (don't show 5+4 = 9 but you get the idea)
Mathematics
2 answers:
mamaluj [8]3 years ago
7 0

Answer:

8,9,10

Step-by-step explanation:

Let x-1, x and x+1 be the consecutive integers

(x-1)(x+1) = 5x + 35

x² - 1 - 5x - 35 = 0

x² - 5x - 36 = 0

x² - 9x + 4x - 36= 0

x(x - 9) + 4(x - 9) = 0

(x - 9)(x + 4) = 0

x = 9, -4

Rudik [331]3 years ago
7 0

Answer:

Step-by-step explanation:

hello :

let this three consecutive integers : x  , x+1  , x+2

x(x+2)=35+5(x+1)

x²+2x=35+5x+5

x²-3x-40=0

(x-8)(x+5)=0   .... x+5 ≠ 0 because : x integer

x-8=0   so : x=8

three consecutive integers are : 8 and 9 and 10

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3 years ago
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mina [271]

Answer:

Step-by-step explanation:

5c + 4f ≥ 200

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5 0
2 years ago
Evaluate 2-(-4) + (-g) where y= 7.
Phantasy [73]

Answer:

<h2>-1</h2>

Step-by-step explanation:

2 - (-4) + (-y)

Substitute y = 7 to the expression:

2 - (-4) + (-7) = 2 + 4 - 7 = 6 - 7 = -1

4 0
2 years ago
Need Help Badly<br>What is the solution
Kamila [148]
Sqrt(1-3x)=x+3
[sqrt(1-3x)]^2=(x+3)^2
1-3x=(x+3)(x+3)
1-3x=x^2+6x+9
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0=x^2+9x+8

The answers are -1 and -8 BUT, we have to plug them back into the original equation to make sure we don't get a negative under the square root sign.

After doing this, we realize that only -1 works, so the answer is x=-1

Sorry that this took forever to answer. I was thinking of a good way to explain this, and if you need any further explanation, message me:)

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5 0
3 years ago
When servicing a heating boiler and radiators, a plumer knows that the time he will take is given by the formula
Allushta [10]

Answer:

£110

Step-by-step explanation:

We know how much time it takes for a boiler and a radiator, and we need to know how much it will cost for 1 boiler and 4 radiators. We have an initial cost of £30, and since hes doing a boiler - which we know takes an hour - we can already add £20 for a start of £50.

Now, there are 4 radiators, that take 45 minutes each. We need to use this equation:

(45*4)/60

We divide by 60 because there are 60 minutes in an hour, and he charges by hour. So:

180/60=3

Now, to find out how much to charge, we need to figure out how much to add to the £50. Since it's £20 an hour, and it takes 3 hours to do the 4 radiators, we need to multiply:

3*20=60

Now we add our totals for a grand total of...

50+60=110

6 0
3 years ago
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