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Lilit [14]
2 years ago
15

find three consecutive negative integers such that six times the largest is equal to the twice sum of the two smaller integers.

Mathematics
1 answer:
Oksana_A [137]2 years ago
3 0

Answer:

The consecutive negative integers are -3, -4 and -5.

Step-by-step explanation:

Let the three consecutive negative integers be k, (k-1) and (k -2)

Now, according to the question:

6(Largest Integer)  = 2( Sum of smaller two Integers)

or, 6 (k)  = 2( (k-1) + (k-2))

⇒ 6k = 2(2k -3)

or, 6k = 4k - 6

or, 6k - 4k = -6

or, 2k = -6 ⇒  k =  -3

Hence, the largest negative integer = -3

The next two consecutive negative  integer are (k-1) and (k-2)  = (-3-1) and (-3-2)

 = -4 and -5

Hence, the consecutive negative integers are -3, -4 and -5.

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Find the consecutive positive odd integers whose product is 99​
dezoksy [38]

Answer:

9 and 11

Step-by-step explanation:

So let's say that the first integer is x.

That means that the second integer is x+2, since it us the next odd number.

This problem can be easily solved with our mind the answer is 9 and 11, but I'll show you the steps to slove this.

We make an equation using these two numbers:

(x)*(x+2)=99\\

Now all we gotta do is solve for x:

x^2 +2x = 99\\x^2+2x-99=0

Now we use either splitting the middle term or quadratic formula:

x^2+11x-9x+99=0\\x(x+11)-9(x+11)=0\\(x+11)(x-9)=0

Now we split each terma and solve for x:

(x-9)=0\\x=9\\(x+11)=0\\x=-11

Now the question states <em>positive </em>so we can rule out x = -11.

Now we have the first integer x = 9,

the second integer is x+2 = 9+2 =11

So the two consecutive positive odd integers are 9 and 11

4 0
3 years ago
5. Which of the following is the equation of a line. that passes through the points (0.8) and (6.4)7 Use of
andriy [413]

See in the explanation

<h2>Explanation:</h2>

In this exercise, <em>we have the following points:</em>

(0.8) \\ \\ (6.4)

And <em>the following linear equations:</em>

(1) \ y=-x+8 \\ \\ (2) \ y=\frac{3}{2}x+6 \\ \\ (3) \ y=-\frac{4}{5}x+4 \\ \\ (4) \ y=\frac{1}{2}x+8

When plotting these graphs, we find the following facts:

<h3>For (1):</h3>

We see the graph in the first figure below. The graph only passes through the point (0, 8)

<h3>For (2):</h3>

This is the second graph below. The graph passes neither through point (0, 8) nor (6, 4)

<h3>For (3):</h3>

This is the third graph below. The graph passes neither through point (0, 8) nor (6, 4)

<h3>For (4):</h3>

This is the fourth graph below. The graph only passes through the point (0, 8)

So, <em>there is no any equation of the line that passes through the points (0.8) and (6.4) at the same time.</em>

<em />

<h2>Learn more:</h2>

About lines: brainly.com/question/12169569

#LearnWithBrainly

8 0
3 years ago
How to solve the inequalities 2x-3 &lt; 3x+7
Andrej [43]

Answer: X > -10

Step-by-step explanation:

6 0
3 years ago
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Use substitution to solve the system. 2x-5(3x-7)=22
givi [52]
I hope it’s helpful. y = 2x + 5 x = 1
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2 years ago
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Can you Help me? With B
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She would need to buy 10 additional bags.
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