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laiz [17]
3 years ago
15

Multiply. (x-6)(4x + 3)

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
7 0

Answer:

Fully simplified it equals 4x^2 -21x -18

Explanation:

-You need to distribute the x to all of the terms in the second binomial and you also need to distribute -6 to all the terms in the second binommial giving you 4x^2 +3x - 24 -18

-You combine like terms to simplify and your answer is 4x^2 -21x -18

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Prove that under root 2 is a irrational number​
torisob [31]

Answer:

Let's suppose √2 is a rational number. Then we can write it √2  = a/b where a, b are whole numbers, b not zero.

We additionally assume that this a/b is simplified to lowest terms, since that can obviously be done with any fraction. Notice that in order for a/b to be in simplest terms, both of a and b cannot be even. One or both must be odd. Otherwise, we could simplify a/b further.

From the equality √2  = a/b it follows that 2 = a2/b2,  or  a2 = 2 · b2.  So the square of a is an even number since it is two times something.

From this we know that a itself is also an even number. Why? Because it can't be odd; if a itself was odd, then a · a would be odd too. Odd number times odd number is always odd. Check it if you don't believe me!

Okay, if a itself is an even number, then a is 2 times some other whole number. In symbols, a = 2k where k is this other number. We don't need to know what k is; it won't matter. Soon comes the contradiction.

If we substitute a = 2k into the original equation 2 = a2/b2, this is what we get:

2=(2k)2/b22=4k2/b22*b2=4k2b2=2k2

This means that b2 is even, from which follows again that b itself is even. And that is a contradiction!!!

WHY is that a contradiction? Because we started the whole process assuming that a/b was simplified to lowest terms, and now it turns out that a and b both would be even. We ended at a contradiction; thus our original assumption (that √2 is rational) is not correct. Therefore √2 cannot be rational.

(I copied this from the internet, but hope it helps!)

4 0
2 years ago
Read 2 more answers
I want to know if mammals usually have more
DENIUS [597]

The graph that would allow the comparison between the median number of teeth for mammals and reptiles easily is a Box Plot.

<h3>Median</h3>

The median of a set of data is the midpoint of values in a data set. It shows the value that divides the data set into two halves.

<h3>Box plot</h3>
  • A box plot is a type of graph used in data analysis to visualize the distribution of numerical data and skewness by displaying the data quartiles and averages.

Box plots are also known as box and whisker plot.

  • Box plots are used to compare visually differences among different samples or groups such medians, ranges, and outliers.

Therefore, the graph that would allow the comparison between the median number of teeth for mammals and reptiles easily is a Box Plot.

Learn more about Box plots and median at: brainly.com/question/16796572

8 0
2 years ago
Greg swam 4 kilometers against the current in the same amount of time it took him to swim 16 kilometers with the current. The ra
ad-work [718]

Answer:

5 kmph

Step-by-step explanation:

Given: Greg swam 4 kilometers against the current.

            Greg swam 16 kilometers with the current.

            Rate of the current was 3kmph.

Lets assume the speed of greg swimming with no current be "x".

∴ Speed of swimming against current= (x-3)\ kmph

   Speed of swimming with current= (x+3)\ kmph

As given, it took same amount of time to swim both with current and against current.

∴ Forming an equation to find the value of x, which is speed of greg swimming with no current.

We know, Time= \frac{Distance}{Speed}

⇒ \frac{4}{(x-3)} = \frac{16}{(x+3)}

Multiplying both side by (x+3) and (x-3)

⇒4\times (x+3)= 16\times (x-3)

Using distributive property of multiplication.

⇒ 4x+12= 16x-48

Subtracting both side by 4x and adding by 48.

⇒60= 12x

Dividing both side by 12

⇒x= \frac{60}{12} = 5\ kmph

Hence, Greg can swim at the rate of 5kmph with no current.

7 0
3 years ago
A 2-column table with 2 rows. Column 1 is labeled x with entries negative 7, 0. Column 2 is labeled y with entries 0, 1.
posledela

Answer:

1/7 i took the assigmnet this was the awnser

3 0
3 years ago
Is the height of these students a function of their wrist circumference?
statuscvo [17]

Answer:

no

Step-by-step explanation:

7 0
3 years ago
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