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hoa [83]
3 years ago
15

Which of the following results in a sum or a product that is rational? Choose all that apply.

Mathematics
1 answer:
horrorfan [7]3 years ago
7 0
The 1st, 3rd, and 4th options.

1.  4+9                     Rational
2. pi * 5                    Pi is irrational and multiplying it by 5 doesn't change that.
3. 3.454545...          is a rational number. If you do the math, it's 3  5/11
4. sqrt(16) * sqrt(4)  is a rational number. It's 4 + 2 = 6
5. sqrt(7) x sqrt(2)    is irrational.

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A woman is standing at the edge of a slow-moving river which is one mile wide, and she wishes to return to her campground on the
vesna_86 [32]

Answer:

the best option would be to swim

Step-by-step explanation:

Hello! To solve this problem we must follow the following steps.

1. remember the concept of uniform motion with constant speed, which establishes the following equation

t=\frac{X}{V}

where

t=time

x=distance

V=speed

2. Calculate the time it takes to swim and calculate the time it takes to walk

walking:

x=10mile

v=5milles/h

t=\frac{10}{5} =2h

swimming

x=1mile

v=3milles/h

t=\frac{1}{3} =0.3h

3. Compare both results and choose the one with the least time.

as you can see it takes less time swimming, so this would be the best way

7 0
3 years ago
(x - 2)(x² + 2x + 4) = 0​
Ber [7]

We have to find the value of x from the given equation.

  • (x - 2)(x² - 2x + 2) = 0 is a quadratic equation, so it will have two values.

Step: Write the equation in simplest form.

  • (x - 2)(x² - 2x + 1) = 0

Step: Solve the problem by spiltting method.

  • (x-2)(x² - x -x + 1) = 0
  • (x - 2)(x²-x - x + 1) = 0
  • (x - 2) [x(x - 1) -1(x -1)]
  • (x - 2)[(x-1)(x-1)]

Step: Solve the problem with using algebraic formula.

{x-1](x-1)

Step : We have used a²-b² to solve the problem.

(x-2)(x² - x -x + 1) = 0

(x - 2)(x²-x - x + 1) = 0

(x - 2) [x(x - 1) -1(x -1)]

(x - 2)[(x-1)(x-1)]

Therefore, the possible factorization is (x - 2)[(x-1)(x-1)].

4 0
3 years ago
Which quadratic function has a y-intercept of 4?
8090 [49]

Answer:

This tells us that the vertex is at (−2, 9) and the equation of the axis of symmetry is x = −2. To find the x-intercepts, we put y = 0 to obtain

(x + 2)2 − 9 = 0

(x + 2)2 = 9

x + 2 = 3  or  x + 2 = −3

 x = 1   or   x = −5.

Step-by-step explanation:

Image result for Which quadratic function has a y-intercept of 4? y=x2−2x+4 y=x2+2x+9 y=−x2+3x y=x2+13x+12

The standard form of a quadratic equation is written as y=ax2+bx+c, where x and y are variables and a, b, and c are known constants. To find the y-intercept from a quadratic equation, substitute 0 as the value for x and solve. The y-intercept is always equal to the value of c in the equation.

3 0
2 years ago
Read 2 more answers
Please help quickly!
Kitty [74]

Answer:

times it by 3 on both sides should get 180

Step-by-step explanation:

4 0
3 years ago
Simplify fully<br> A) <br> X^7 / X^3 <br><br><br> B)<br> Y^5 / Y^4
DENIUS [597]

Hi,

\frac{x^{a} }{x^{b} } =x^{a-b}

a)

\frac{x^{7} }{x^{3} }= x^{7-3} = x^{4}

b)

\frac{y^{5} }{y^{4} } = y^{5-4} = y^{1} = y

;)

8 0
2 years ago
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