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3 years ago

How do you know if a number is smaller or bigger

1 answer:

4 0

Use a number line and plot it with zero in the middle and the positive numbers on the right and the negative numbers on the left
the farther to the right a number is, the bigger it is
the farther to the left a number is, the smaller it is

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The sum of a number and its reciprocal is 41/20. Find the number. smaller value larger value

Natali [406]

Step-by-step explanation:

Let the number is x. Its reciprocal will be 1/x. According to given condition, we get :

$x+\dfrac{1}{x}=\dfrac{41}{20}\\\\\dfrac{x^2+1}{x}=\dfrac{41}{20}\\\\20x^2+20=41x\\\\20x^2-41x+20=0$

It is a quadratic equation. The values of x are :

$20x^2-25x - 16x+ 20 =0\\\\5x(4x - 5) -4( 4x - 5) = 0\\\\(5x-4)(4x-5)=0\\\\5x-4=0\ \text{and}\ (4x-5)=0\\\\x=\dfrac{4}{5}\ \text{and}\ x=\dfrac{5}{4}$

The smaller number is 4/5 and the larger number is 5/4.

6 0

3 years ago

What is the domain of the following graph? Please don't put links down I cant download them.

rosijanka [135]

Answer:

-infinity, infinity

Step-by-step explanation:

Domain is x, and in a quadratic equation like this one the x axis goes on forever. So the first answer of -infinity, infinity is correct.

8 0

2 years ago

Read 2 more answers

What is the value of k in y = kx, if y = 12 when x = 24?

Brrunno [24]

Answer:

k = 0.5

Step-by-step explanation:

Substitue y = 12, x = 24 into y = kx.

12 = k × 24

24k = 12

k = 12 ÷ 24

k = 0.5 (final answer)

6 0

2 years ago

Read 2 more answers

More points for easy questions

Veseljchak [2.6K]

Answer:

"the sum of the cube of 6x and 2"

Step-by-step explanation:

We see that only the expression of 6x is being cubed, not the entire expression of (6x)³ + 2.

The first blank must apply to both these terms 6x and 2, so the word can't be cubed. Instead, because we're finding the sum of these two, the word should be "sum".

The second blank should apply to only the 6x because we've already described the relationship of 6x and 2. So, since we are cubing 6x, the word here should be "cube".

The final sentence should read:

"the sum of the cube of 6x and 2"

6 0

2 years ago

Read 2 more answers

Noah and Lin are marketing paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 9 cubic inc

Vadim26 [7]

Answer: r = 1.69 inches

h = 2.15 inches

Step-by-step explanation: Volume of a solid is the amount of space contained within a solid.

Volume of a cone is directly proportional to radius and height:

$V=\frac{1}{3}\pi r^{2}h$