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arsen [322]
3 years ago
10

The product of two consecutive positive integers is 18 more than eight times the smaller number. Find the two numbers.

Mathematics
1 answer:
olga2289 [7]3 years ago
6 0

Let , smallest integer is x.

So , other one is x + 1.

By , given conditions :

x( x + 1 ) = 8x + 18\\\\x^2+x=8x+18\\\\x^2-7x-18=0\\\\x^2-9x+2x-18=0\\\\x(x-9)+2(x-9)=0\\\\x=-2 \  ,\ x = 9

Since, the numbers are positive so, x = -2 is ignored.

Therefore, the numbers are 9 and 10.

Hence, this is the required solution.

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(repost) Help Please I will Give brainliest If Correct!!
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Answer:

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Step-by-step explanation:

3.5*2029249= 7102347

rounds to 7000000= 7 x 10^6

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Vedmedyk [2.9K]

48 ÷ 200 = 0.24

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A garden table and a bench cost $781 combined. The garden table costs $69 less than the bench. What is the cost of the bench?
Arlecino [84]

Answer:

$425

Step-by-step explanation:

x = bench

x - 69 = garden table

x + (x - 69)=781

x + x - 69 =781

2x - 69 = 781

2x -69 +69 = 781 + 69

2x = 850

2x/2 = 850/2

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Find the domain and range of the exponential function h(x) = –343x.
Amanda [17]

The function is supposed to be;

h(x) = -343^(x)

Answer:

The domain will be a set of real numbers while the range will be y ≤ 0 and on the interval (-∞, 1)

As x is increasing, h is decreasing and as x is decreasing, h is increasing

Step-by-step explanation:

We are given the function as;

h(x) = -343^(x)

The formula is;

y = a^(x) since it's symmetrical to the x-axis

However in this case;

y = -a^(x)

Now, the domain is y and the range is a set of values of x.

I've attached a graph of this function drawn on desmos.

From the graph we can see that The domain will be a set of real numbers while the range will be on the interval (-∞, 1)

For a value of x = 0,we have;

h(0) = -343^(0)

h(0) = -343

When we increase the value of x to 3,we have;

h(3) = -343^(3)

h(3) = -40353607

When we decrease the value of x to -3, we have;

h(-3) = -343^(-3)

h(-3) = 0.00000002478

Thus, we can conclude that;

As x is increasing, h is decreasing and as x is decreasing, h is increasing

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