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3 years ago

Simplify 4(5x - 6) - 4(2x + 1) 12 x - 5 12 x - 20 12 x - 28

Mathematics

2 answers:

Romashka-Z-Leto [24]3 years ago

6 0

Answer:

$\huge{ \fbox{ \sf{12x - 28}}}$

Step-by-step explanation:

$\star{ \sf{ \: \: 4(5x - 6) - 4(2x + 1)}}$

$\text{Step \: 1 \: : Distribute \: 4 \: through \: the \: parentheses}$

$\mapsto{ \sf{20x - 24 - 4(2x + 1)}}$

$\text{Step \: 2 \: : Distribute \: 4 \: through \: the \: parentheses}$

$\mapsto{ \sf{20x - 24 - 8x - 4}}$

$\text{Step \: 3 \: : Collect \: like \: terms}$

$\text{Like \: terms \: are \: those \: which \: have \: same \: base}$

$\mapsto{ \sf{20x - 8x - 24 - 4}}$

$\mapsto{ \sf{12x - 24 - 4}}$

$\text{Step \: 4 \: : Calculate}$

$\underline{ \sf{Remember!}} : \sf{The \: negative \: integers \: are \: always \: added \: but \: posses \: the \: negative \: ( - ) \: sign}$

$\mapsto{ \sf{12x - 28}}$

Hope I helped!

Best regards! :D

~ $\text{TheAnimeGirl}$

xxTIMURxx [149]3 years ago

3 0

Answer:

Step-by-step explanation:

4(5x - 6) - 4(2x + 1)

20x - 24 - 8x - 4

12x - 28

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3 years ago

Suppose 21% of people own a dog. If you pick two people at random, then what is the probability that they both own a dog?

Goshia [24]

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4 years ago

100 random students are surveyed outside of the student center on campus. Let V denote that the student has a Visa credit card a

mote1985 [20]

Answer:

(a) The value of P (M | V) is 0.30.

(b) The value of $P (M^{c} | V)$ is 0.70.

(d) The value of $P(V^{c}|M)$ is 0.625.

Step-by-step explanation:

It is provided that,

V = a student has a Visa card

M = a student has a Master card

N = 100, n (V) = 40, n (M) = 32 and n (V ∩ M) = 12.

The probability of a student having visa card is:

$P(V) = \frac{n(V)}{N}= \frac{40}{100}=0.40$

The probability of a student having master card is:

$P(M) = \frac{n(M)}{N}= \frac{32}{100}=0.32$

The probability of a student having visa card and a master card is:

$P(V\cap M) = \frac{n(V\cap M)}{N}= \frac{12}{100}=0.12$

The conditional probability of an event, say A, given that another event, say B, has already occurred is,

$P(A|B)=\frac{P(A\cap B)}{P(B)}$

(a)

Compute the probability that a student has a master card given that he/she has a visa card also, i.e. P (M | V) as follows:

$P(M|V)=\frac{P(V\cap M)}{P(V)} =\frac{0.12}{0.40}=0.30$

Thus, the value of P (M | V) is 0.30.

(b)

Compute the probability that a student does not have a master card given that he/she has a visa card also, i.e. $P (M^{c} | V)$ as follows:

$P (M^{c} | V)=1-P(M|V)=1-0.30=0.70$

Thus, the value of $P (M^{c} | V)$ is 0.70.

(c)

Compute the probability that a student has a visa card given that he/she has a master card also, i.e. P (V | M) as follows:

$P(V|M)=\frac{P(V\cap M)}{P(M)} =\frac{0.12}{0.32}=0.375$

Thus, the value of P (V | M) is 0.375.

(d)

Compute the probability that a student does not have a visa card given that he/she has a master card also, i.e. $P(V^{c}|M)$ as follows:

$P(V^{c}|M)=1-P(V|M)=1-0.375=0.625$

Thus, the value of $P(V^{c}|M)$ is 0.625.

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3 years ago

How do you add and subtract radicals? If you could please give me the instructions step by step and with examples, that would be

EleoNora [17]

You can add and subtract radicals by ensuring that they have same radical parts.

<h3>What's radical?</h3>

It should be noted that a radical expression is an expression that contains the radical symbol which is ✓.

The necessary steps to add or subtract radicals include:

Identify the radical parts.

Add them together.

If there's unlike radical parts, one will manipulate the parts involved before solving.

Example: Add ✓63 + 5✓7

It should be noted that ✓63 = ✓9 × ✓7 = 3✓7

Therefore, ✓63 + 5✓7 will be:

= 3✓7 + 5✓7

= 8✓7.

Learn more about radical on:

brainly.com/question/738531

#SPJ1

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1 year ago