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1 year ago

Factor the expression using the GCF. 76d-24=

Mathematics

1 answer:

agasfer [191]1 year ago

5 0

Answer:

Factoring the expression $76d-24$ using the GCF we get $\mathbf{4(19d-6)}$

Step-by-step explanation:

We need to factor the expression using the GCF : $76d-24$

GCF stands for greatest common divisor.

We need to find the greatest number that is divisible by both terms.

The greatest number that is divisible by both terms is 4

So, Now factoring the term:

$76d-24\\=4(19d-6)$

So, factoring the expression $76d-24$ using the GCF we get $\mathbf{4(19d-6)}$

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To solve this problem you must apply the proccedure shown below:

1. We know that 1 yard is 36 inches, therefore, 50 yards expressed in inches is:

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2. If he is 50 yards from school and the map shows that the school is 34 inches from his current location, when it shows 3 inches the real distance is:

$\frac{(1800in)(3in)}{34in}=158.82in$

3. If you can to express it in yards:

$\frac{158.82}{36} =4.41 yd$

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Step-by-step explanation:

David Joyner might be the first name, so you may only have to check 1 name.

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1 year ago

Choose the table that represents g(x) = −2⋅f(x) when f(x) = x + 4.

grigory [225]

Answer: THIRD OPTION.

Step-by-step explanation:

Since $g(x) = -2f(x)$ , then $g(x)$ is:

$g(x)=-2( x + 4)\\\\g(x)=-2x-8$

In order to find which table represents $g(x) = -2f(x)$ when $f(x) = x + 4$ , you can follow these steps:

1. Substitute $x=1$ into the function $g(x)=-2x-8$ :

$g(1)=-2(1)-8\\\\g(1)=-10$

2. Substitute $x=2$ into the function $g(x)=-2x-8$ :

$g(2)=-2(2)-8\\\\g(2)=-12$

3. Substitute $x=3$ into the function $g(x)=-2x-8$ :

$g(3)=-2(3)-8\\\\g(3)=-14$

Notice that those ouput values (for $x=1,\ x=2$ and $x=3$ ) matches with the table provided in the third option. That table represents $g(x) = -2f(x)$ when $f(x) = x + 4$ :

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Answer:

infinity

Step-by-step explanation:

a) the expected value of this gamble in dollars is Infinity

i.e

expected value = $\frac{1}{2}*2 + \frac{1}{4}*4 + \frac{1}{8}*8 + \frac{1}{16}*16 + ... + \to \infty (infinty) \\$

= $1+1+1+1+1 + ... = \infty$

When offered, most people say they would pay only less than $10 to play this game.

What are two reasons why people are willing to pay so much less than the expected value?

These people are ready to pay less than $10 to play this game due to the fact that people usually overlook the unlikely event when making decisions. In a bid to that logic, they gamble in order to double their amount of money and the probability that heads may never come is ignored by these people and they may hope for a likely event i.e a head every time they play the game.

Also, the expected value is so humongous that if and only if that the first head appears after a long series of tails which is very less certain to occur, because mostly people would think that on an average the length of a series of tails ( or heads) is somewhat near 10 or so, but definitely infinity.

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