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3 years ago

Convert 5.764764764 … to a rational expression in the form of a over b, where b ≠ 0.

Mathematics

2 answers:

marishachu [46]3 years ago

8 0

Answer:

Step-by-step explanation:

Andru [333]3 years ago

5 0

5 and 764 over 999 Converting a repeating decimal into a rational fraction is easy to do. So let's do it and see what we come up with to compare against the available options. 5.764764764 ... It's obviously 5 + some fraction 0.764764764 ... so X = 0.764764764 ... 1000 X = 764.764764764 ... - X 0.764764764 ... 999 X = 764 X = 764/999 So the answer is 5 and 764/999 Looking over the available options, only the response "5 and 764 over 999" matches.

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Describe the transformation of f(x) to g(x)

gulaghasi [49]

Answer:

D. f(x) is shifted up 1 unit to g(x).

Step-by-step explanation:

Just let's look at the y-intercept of each function.

f(0) = 0

g(0) = 1

Also remember that a vertical shift of N units is written as:

g(x) = f(x) + N

where if N is positive, the shift is upwards, and if N is negative, the shift is downwards.

then we can write, for the particular value x = 0

g(0) = f(0) + N

replacing the values

1 = 0 + N

1 = N

Then N is positive, so we have a shift up of one unit.

The correct option is:

D. f(x) is shifted up 1 unit to g(x).

6 0

2 years ago

Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one sam

Diano4ka-milaya [45]

Answer:

Advance=15$

Same-day=20$

Step-by-step explanation:

Advance=15 Same-day=20

15*35=525

20*30=600

525+600=1125

4 0

3 years ago

The equation x^2+ (k - 3)x + (3 - 2k) = 0, where k is a constant, has two distinct real roots.

Lisa [10]

Step-by-step explanation:

For quadratic equation ax^2 + bx + c = 0 to have two distinct real roots,

b^2 - 4ac must be positive.

b^2 - 4ac > 0

(k - 3)^2 - 4(3 - 2k) > 0

k^2 - 6k + 9 - 12 + 8k > 0

k^2 + 2k - 3 > 0

4 0

2 years ago

I need help with this Algebra 1 Study Guide. It has 5 questions . This has many hard questions so to you people that like a chal

scoundrel [369]

1. Rational numbers can be written as a ratio (fraction)
Whole numbers are rational. 5 = 5/1, for example.
Square roots are NOT rational. Example: √3
However, square roots of square numbers can be simplified, and are therefore rational. √4 = 2, rational.

√4 + √16 = 2 + 4 = 6. rational
√5 + √36... irrational
√9 + √24... irrational
2 × √4 = 2 × 2 = 4. rational
√49 × √81 = 7 × 9 = 63. rational
3√12... irrational

2. $n^\frac12=\sqrtn$
$9^\frac32=9^3\times\frac12=\sqrt{9^3}=\sqrt{729}=29$

3. $\frac{n^a}{n^b}=n^{a-b}$

$\frac{a^\frac13}{a^\frac14}=a^{\frac13-\frac14}=a^{\frac{1}{12}}$

4. $n^\frac1x=\sqrt[x]n$

$\sqrt[3]{m^2n^5}=m^{\frac23}n^{\frac53}$

5. $\sqrt{a}\times\sqrt{b}=\sqrt{ab}$

$\sqrt{3}\times\sqrt{12}=\sqrt{3\times12}=\sqrt{36}=6$

A, since neither 3 nor 12 is a square but we end up with 6.

5 0

3 years ago

Jimmy's 9th-grade class is made up of 223 students. He wants to know the average height for the students in his class, and he wa

kari74 [83]

I believe that the smallest number of students Jimmy can measure is 223, and I know this is right because one of my teachers had us do this probem and she said this was it.

5 0

3 years ago

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