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riadik2000 [5.3K]
3 years ago
5

Holly says 4.131131113... is a rational number. Which of the following best describes whether Holly is correct and why?? a.Holly

is correct. Repeating decimals are always rational numbers. b.Holly is correct. The number is positive and all positive numbers are rational. c.Holly is incorrect. The decimal does not terminate, so it cannot be a rational number. d.Holly is incorrect. The decimal part follows a pattern but does not actually repeat.
Mathematics
2 answers:
Leni [432]3 years ago
7 0

Answer:

A. Holly is correct. Repeating decimals are always rational numbers.

Step-by-step explanation:

Rational number is the subset of:

  • Whole number (Positive integer + 0)
  • Natural number
  • Negative integers
  • Fractions
  • Decimals (Whether positive or not, whether terminating or non terminating)

Hope this helps ;) ❤❤❤

Dennis_Churaev [7]3 years ago
5 0

Answer:

Holly is incorrect. The decimal part follows a pattern but does not actually repeat.

so D is the correct option

Step-by-step explanation:

The numbers follow a pattern but if you take a closer look you will see that the numbers do not repeat even though they still use the numbers 1, and 3 doesn't mean there a rational number.

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The line x = k intersects the graph of the parabola x = -2y^2 - 3y + 5 at exactly one point. What is k? Thank you! :)
bearhunter [10]

Answer:

49/8 is the value of k

Step-by-step explanation:

We have the system

x = -2y^2 - 3y + 5

x=k

We want to find k such that the system intersects once.

If we substitute the second into the first giving us k=-2y^2-3y+5 we should see we have a quadratic equation in terms of variable y.

This equation has one solution when it's discriminant is 0.

Let's first rewrite the equation in standard form.

Subtracting k on both sides gives

0=-2y^2-3y+5-k

The discriminant can be found by evaluating

b^2-4ac.

Upon comparing 0=-2y^2-3y+5-k to 0=ax^2+bx+c, we see that

a=-2, b=-3, and c=5-k.

So we want to solve the following equation for k:

(-3)^2-4(-2)(5-k)=0

9+8(5-k)=0

Distribute:

9+40-8k=0

49-8k=0

Add 8k on both sides:

49=8k

Divide both sides by 8"

49/8=k

6 0
2 years ago
i know this is probably simple but ive forgotten how to do it and i cant find it in my notes help appreciated!
Soloha48 [4]

Answer:

? = 13.6

Step-by-step explanation:

the angle between a tangent and the diameter = 90°

Then the triangle is right with legs 2 × 6 = 12 and 6.4

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the legs , that is

? ² = 12² + 6.4² = 144 + 40.96 = 184.96 ( take square root of both sides )

? = \sqrt{184.96} = 13.6

6 0
2 years ago
PLS HELP ME QUICK BRAINLIEST +15 POINTS!!!!!
Ipatiy [6.2K]

Answer:

3/4

Step-by-step explanation:

The mean of a data set is synonymous with the average. To find the mean, add up all the values in the data set and then divide by the number of elements.

From the table, there is 12 values. Thus, add up all the 12 values and then divide by 12:

\bar x=\frac{(-3)+4+8+(-1)+(-4)+(-2)+0+2+5+2+(-3)+1}{12}

Simplify:

\bar x=\frac{9}{12}

Reduce:

\bar x=3/4

Therefore, the mean of the data set is 3/4.

For the data set, this means that the average person guesses the temperature too high by about 3/4°F.

(Note: the symbol of x with a bar over it denotes the mean of a set)

7 0
3 years ago
Which statement is true regarding the graphed functions?
n200080 [17]
Is there more option choices since the ones that are visible rent correct
Maybe upload an image of the choice rather than text since it’s unreadable
3 0
3 years ago
Given: X = r + 2, Y = 2r - 9, and Z = r 2 + 17r + 30. Simplify [X · Y - Z] ÷ X.
ale4655 [162]
( (r+2) * (2r-9)-(r^2+17r+30) )/(r+2)

none of the parenthetical operations or power operations can be simplified further, so multiplication and division first, left to right:

(2r(r+2) -9(r+2) - r^2 + 17r +30)/(r+2)

(2r^2 + 2r -9r+18 -r^2 +17r +30 )/(r+2)

(r^2 +10r +48)/(r+2)


7 0
3 years ago
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