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4 years ago

Which expression is equivalent to the following complex fraction? mc024-1.jpg

2 answers:

4 0

Given

$\frac{ \frac{3}{x-1} -4}{2- \frac{2}{x-1} } = \frac{ \frac{3-4(x-1)}{x-1} }{ \frac{2(x-1)-2}{x-1} } \\ \\ = \frac{3-4x+4}{2x-2-2} = \frac{7-4x}{2x-4} \\ \\ = \frac{-4x+7}{2(x-2)}$

zepelin [54]4 years ago

3 0

Answer:

Step-by-step explanation:

You might be interested in

What is the answer to 3(x+4)+2(5x+2)

nalin [4]

=(3)(x)+(3)(4)+(2)(5x)+(2)(2)
=3x+12+10x+4
=3x+12+10x+4
=(3x+10x)+(12+4)
=13x+16

Answer = 13x+16
(hope this helps)

4 0

3 years ago

Mr Abraham is able to divide the learners in his mathematics class into equal groups of 2, 5 or 6 without leaving any learners o

IRISSAK [1]

Answer:

Step-by-step explanation:

Find the lowest number divisible by both 6, 5, and 2.

To start, let's list off the numbers divisible by six, and see if we can check any of them off for 5. Since both 2 and 6 are even numbers, we know that if a number is divisible by 6, it's divisible by 2.

6 12 18 24 30 36 42 48 54 60

All of these numbers are divisible by two. Let's find the lowest one that is divisible by 5. We know this by either the umber ending in 5 or 0.

30 is the lowest number that is divisible by 2, 5, or 6.

3 0

3 years ago

Scientists have discovered a vaccine for a debilitating disease. This year there were 570,000 reported new cases of the disease

Ket [755]

Answer: There are approximately 853827 new cases in 6 years.

Step-by-step explanation:

Since we have given that

Initial population = 570000

Rate at which population decreases is given by

$\frac{2}{3}$

Now,

First year =570000

Second year is given by

$570000\times (\frac{1}{3})$

Third year is given by

$570000(\frac{1}{3})^2$

so, there is common ratio ,

it becomes geometric progression, as there is exponential decline.

so,

$570000,570000\times \frac{1}{3},570000\times( \frac{1}{3})^2,......,570000\times (\frac{1}{3})^6$

a=570000

common ratio is given by

$r=\frac{a_2}{a_1}=\frac{1}{3}$

number of terms = 6

Sum of terms will be given by

$S_n=\frac{a(1-r^n)}{(1-r)}$

We'll put this value in this formula,

$S_6=\frac{570000(1-(\frac{1}{3})^6}{(1-\frac{1}{3})}\\\\=853827.16$

So, there are approximately 853827 new cases in 6 years.

6 0

3 years ago

Which properties of equality justify steps b and d?

7nadin3 [17]

C. Subtraction Property of Equality; Multiplication Property of Equality

For the first one, you are subtracting 7 from both sides (step b), to help isolate the y

since you are both subtracting, and "both sides" (meaning there is a equal sign) it is Subtraction Property of Equality.

For the second one, you are multiplying 2 from both sides (step d), to help isolate the y

since you are multiplying, and "both sides" (meaning there is a equal sign), it is Multiplication Property of Equality

hope this helps

4 0

4 years ago

Read 2 more answers

An instrument maker creates a triangle in the shape of an isosceles triangle by bending a metal rod. the rod is 13 inches long,

Gre4nikov [31]

The length of the longest slide is 5 inches. he other two sides will be 4 inches in length.

<h3>Length of the longest slide</h3>

Isosceles triangle

Given:

Total length=13 inches

Hence:

AC=BC<AB

Let AC=BC=x-1 inches

AB=x inches

Thus:

x-1+(x-1)+x=13

3x-2=13

3x=13+2

3x=15

divide both side by 3x

x=15/3

x=5 inches

Hence:

Other two side

x-1=5-1=4 inches

Therefore the length of the longest slide is 5 inches. he other two sides will be 4 inches in length.

Learn more about Length of the longest slide here:brainly.com/question/7807143

#SPJ1

8 0

2 years ago