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3 years ago

Simplify 2(a+5)−3(5a−4)

Mathematics

1 answer:

Nutka1998 [239]3 years ago

4 0

Answer:

$-13a+22$

Step-by-step explanation:

we have

$2(a+5)-3(5a-4)$

step 1

Apply the distributive property both terms

$2a+2(5)-3(5a)+3(4)$

$2a+10-15a+12$

step 2

Combine like terms

$(2a-15a)+(10+12)$

$(-13a)+(22)$

$-13a+22$

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(x³ + ³) / (x - y)<br> Do not include parentheses in your answer.

Lubov Fominskaja [6]

The simplified expression of $\frac{x^3 + (-y)^3}{(x - y}$ is $x^2+xy+y^2$

<h3>Complete question</h3>

Simplify the expression: (x³ + (-y)³) / (x - y)

Do not include parentheses in your answer.

<h3>How to simplify the expression?</h3>

The expression is given as:

$\frac{x^3 + (-y)^3}{(x - y}$

Open the inner bracket

$\frac{x^3 -y^3}{(x - y}$

Apply the difference of two cubes to the numerator

$\frac{(x-y)(x^2+xy+y^2)}{(x - y}$

Cancel out the common factors

$x^2+xy+y^2$

Hence, the simplified expression of $\frac{x^3 + (-y)^3}{(x - y}$ is $x^2+xy+y^2$

Read more about expressions at:

brainly.com/question/723406

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2 years ago

Find the midpoint from (-2,-2) to (6,6)

timama [110]

(2,2)

(x1+x2)/2, (y1-y2)/2
(-2+6)/2=(2)
(-2+6)/2=2

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3 years ago

Read 2 more answers

YALL PLEASE HELP IS IT ADDITION MULTIPLICATION OR SUB

alekssr [168]

Answer:

6 x $\frac{3}{4}$ = 4 $\frac{2}{4}$

Step-by-step explanation:

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3 years ago

Let the probability of success on a Bernoulli trial be 0.26. a. In five Bernoulli trials, what is the probability that there wil

andreyandreev [35.5K]

Answer:

0.3898 = 38.98% probability that there will be 4 failures

Step-by-step explanation:

A sequence of Bernoulli trials forms the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

Let the probability of success on a Bernoulli trial be 0.26.

This means that $p = 0.26$

a. In five Bernoulli trials, what is the probability that there will be 4 failures?

Five trials means that $n = 5$

4 failures, so 1 success, and we have to find P(X = 1).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{5,1}.(0.26)^{1}.(0.74)^{4} = 0.3898$

0.3898 = 38.98% probability that there will be 4 failures

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3 years ago

18<br> 8<br> 13<br> 7<br> Find the area of the white granite area in the picture above.

GaryK [48]

Answer: 178

Step-by-step explanation:

18x13

234 area of white granite

8x7

56 area of blue granite

234-56 to find the area of the white granite

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3 years ago