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2 years ago

please help :) Respecting and understanding different opinions promotes fill in the blank . answer choices : (value/tolerance)

Mathematics

1 answer:

MrRa [10]2 years ago

4 0

Answer:

Tolerance

Step-by-step explanation:

Value in this situation doesn't make sense and you can search up the definition of tolerance on the web to verify.

Also, this doesn't seem like a math related question so you should have answered this in English or something.

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If f(x) = 2х2 +1 and g(x) = х2 -7, find (f-g)(x).

Nookie1986 [14]

Option A

If f(x) = $2x^2 + 1$ and g(x) = $x^2 - 7$ then $(f - g)(x) = x^2 + 8$

<em><u>Solution:</u></em>

Given that f(x) = $2x^2 + 1$ and g(x) = $x^2 - 7$

To find: (f - g)(x)

We know that,

(f – g)(x) = f (x) - g(x)

Let us substitute the given values of f(x) and g(x) in above formula,

$(f - g)(x) = 2x^2 + 1 - (x^2 - 7)$

For solving the brackets in above expression,

There are two simple rules to remember:

When you multiply a negative number by a positive number then the product is always negative.

When you multiply two negative numbers or two positive numbers then the product is always positive.

So the expression becomes,

$(f - g)(x) = 2x^2 + 1 -x^2 + 7$

Combining the like terms,

$(f - g)(x) = 2x^2 - x^2 + 1 + 7\\\\(f - g)(x) = x^2 + 8$

Thus option A is correct

8 0

2 years ago

Rewrite this expression using distributive property: 4a + 4b - 5

Triss [41]

Answer:

4(a + b) - 5

Step-by-step explanation:

Pull out the common factor

5 0

2 years ago

ALGUNAS IDEAS? PORFA ES PARA HOY ¿En qué acciones te pueden servir obtener el promedio de datos?

son4ous [18]

Answer:

me espanol?

Step-by-step explanation:

4 0

2 years ago

About 16 % of the population of a large country is allergic to pollen. If two people are randomly selected, what is the probabil

Vinvika [58]

Answer:

(a) 0.0256

(b) 0.2944

Step-by-step explanation:

For solving this exercise we can apply the binomial distribution. The equation that give as the probability is:

$P(x,n,p)=(nCx)*p^{x} *(1-p)^{n-x}$

Where n is the number of identical events, p is the probability that the event has a success and x is the number of success in the n identical events.

Additionally, nCx is calculated as:

$nCx=\frac{n!}{x!(n-x)!}$

So, in this case we have 2 identical events because we are going to select two people randomly and the probability p of success is the probability that the person is allergic to pollen and this probability is 16%.

Then, for the first case, x is 2 because their are asking for the probability that both are allergic to pollen. Replacing the values of x, n and p we get:

$P(2,2,0.16)=(2C2)*0.16^{2} *(1-0.16)^{2-2}$

P(2,2,0.16)=0.0256

For the second case, their are asking for the probability that at least one is allergic to pollen, that means that we need to sum the probability that both are allergic to pollen with the probability that just one is allergic to pollen.

Using the same equation to calculate P(1,2,0.16) we get:

$P(1,2,0.16)=(2C1)*0.16^{1} *(1-0.16)^{2-1}$

P(1,2,0.16)=0.2688

So, the probability that at least one person is allergic to pollen is 0.2944 and it is calculated as:

0.0256 + 0.2688 = 0.2944

7 0

3 years ago

Help me please with math

koban [17]

Answer:

2) y = x - 4

y = -x + 2

=> x - 4 = -x + 2

=> 2x = -6

=> x = -3

=> y = -3 - 4 = -7

3) y = 3x + 1

y = 5x - 3

=> 3x + 1 = 5x - 3

=> 2x = 4

=> x = 2

=> y = 3(2) + 1 = 7

4) 2x + y = 8 => y = -2x + 8

y = x - 7

=> -2x + 8 = x - 7

=> 3x = 15

=> x = 5

=> y = 5 - 7 = -2

7 0

2 years ago

Read 2 more answers