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3 years ago

Please helppp ASAP Content attribution

Mathematics

1 answer:

Aliun [14]3 years ago

5 0

Answer:

The LCD of the two given fraction is (x + 4)(x + 5)(x + 7)

Step-by-step explanation:

<em>In the algebraic fractions, the LCD is the least common denominator to find it do that:</em>

Factorize each denominator

Take all the factors without repeating factors

<em>Let us do that with our question</em>

∵ The denominator of the first fraction is m² + 9m + 20

→ Factorize it into two factors

∵ 20 = 4 × 5 ⇒ the last term

∵ 4 + 5 = 9 ⇒ the coefficient of the middle term

∴ m² + 9m + 20 = (x + 4)(x = 5)

∴ The factors of m² + 9m + 20 are (x + 4) and (x + 5)

<em>Do the same with the 2nd denominator</em>

∵ The denominator of the second fraction is m² + 11m + 28

→ Factorize it into two factors

∵ 28 = 4 × 7 ⇒ the last term

∵ 4 + 7 = 11 ⇒ the coefficient of the middle term

∴ m² + 11m + 28 = (x + 4)(x + 7)

∴ The factors of m² + 11m + 28 are (x + 4) and (x + 7)

∵ The factors of the two denominators are (x + 4), (x + 5), (x + 4), (x + 7)

→ LCD will be all factors without repeating which means we will

take the factor (x + 4) just one time, we will not repeat it.

∴ LCD = (x + 4)(x + 5)(x + 7)

∴ The LCD of the two given fraction is (x + 4)(x + 5)(x + 7)

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The graph of the function f(x) is shown below.

faust18 [17]

Remember, parenthaees are like < and > and brackets ar like ≤ and ≥

domain is how far the x values go
x is left to right

we see they go from -3 to 5, with a filled in dot at -3 and empty dot at 5
means include -3 but not including 5
so like -3≤x<5
or in interval notation
[-3,5) is the domain

range
highest to lowest y value

range is from y=3 to y=-1
we gots full dots so we use brackets
range is [-1,3]

Domain=[-3,5)
Range=[-1,3]

B. read above and understand it

5 0

3 years ago

PLEASE ANSWER IM GIVING OUT MOST OF MY POINTS AND ILL GIVE BRAINLIEST TO THE ONE THAT MAKES THE MOST SENSE AND IS well JUST THE

UkoKoshka [18]

Answer:

25 minutes

Step-by-step explanation:

50÷10=5

5×5=25

hopefully this helps :)

8 0

2 years ago

Read 2 more answers

a bag contains 60 marbles, some blue and some green. the ratio of blue marbles to green ones is 1:5. how many blue marbles are t

olga55 [171]

Hello!

For every 1 blue marble there are 5 greens

You add the numbers in the ratio

1 + 5 = 6

Divide this number from the amount of marbles

60 / 6 = 10

Multiply the ratio by this

1 * 10 = 10

5 * 10 = 50

There are 10 blue marbles and 50 green ones

The answer is 10

Hope this helps!

4 0

3 years ago

2[7+2(6.8-4)] whatbis the answer

vagabundo [1.1K]

Answer:

25.2

Step-by-step explanation:

A calculator will evaluate this for you. If you don't have one, you can use a Google search box.

The Order of Operations tells you to start evaluation with the inner parentheses. Multiplication is performed before addition.

2(7 +2(2.8))

= 2(7 +5.6)

= 2(12.6)

= 25.2

3 0

3 years ago

The Nuthouse offers a mixture of soy nuts and almonds, Almonds

elena55 [62]

Answer:

14 pounds

Step-by-step explanation:

The given equations can be solved for y by substituting for x. The first equation is convenient for writing x in terms of y.

<h3>Solution</h3>

x = 20 -y . . . . . . . subtract y from the first equation

7(20 -y) +5.5y = 119 . . . . . substitute for x in the second equation

140 -1.5y = 119 . . . . . . . . simplify

21 = 1.5y . . . . . . . . . . . add 1.5y -119 to both sides

14 = y . . . . . . . . . . . .divide by 1.5

14 pounds of soy nuts should be used in the mixture.

<em>Additional comment</em>

There are many ways to solve a system of two linear equations. The attachments shows a matrix solution using a suitable calculator. It tells us that x=6 and y=14, as we found above.

6 0

2 years ago