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iren [92.7K]
3 years ago
7

Make x the subject: a(x-b) = x

Mathematics
1 answer:
umka21 [38]3 years ago
5 0

Answer:

x = \frac{ab}{a-1}

Step-by-step explanation:

Given

a(x - b) = x ← distribute parenthesis on left side

ax - ab = x ( subtract x from both sides )

ax - x - ab = 0 ( add ab to both sides )

ax - x = ab ← factor out x from each term on the left side

x(a - 1) = ab ← divide both sides by a - 1

x = \frac{ab}{a-1}

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You need to design a rectangle with a perimeter of 14.2 cm. The length must be 2.4 cm. What is the width of the
irina1246 [14]

Part (a)

<h3>Answer: 2(2.4+w) = 14.2</h3>

--------------

Explanation:

L = 2.4 = length

W = unknown width

The perimeter of any rectangle is P = 2(L+W)

We replace L with 2.4, and replace P with 14.2 to get 14.2 = 2(2.4+w) which is equivalent to 2(2.4+w) = 14.2

========================================================

Part (b)

<h3>Answer:   w = 4.7</h3>

--------------

Explanation:

We'll solve the equation we set up in part (a)

2(2.4+w) = 14.2

2(2.4)+2(w) = 14.2

4.8+2w = 14.2

2w = 14.2-4.8

2w = 9.4

w = 9.4/2

w = 4.7

The width must be 4.7 cm.

4 0
3 years ago
Supposef(0) = 2 and 2 ≤ f '(x) ≤ 7for all x in the interval [−5, 5]. determine the greatest and least possible values of f(2).le
IgorC [24]

If the slope of the function is 2, the amount it can change over the interval 0–2 is

... 2×2 = 4 units

If the slope is 7, the amount it can change over the interval 0–2 is

... 2×7 = 14 units


The least possible value of f(2) is 2+4 = 6.

The greatest possible value of f(2) is 2+14 = 16.

7 0
3 years ago
Huh?! Its me DaBaby less gooo i need your help with this question. Yeah Yeah!
Misha Larkins [42]

Answer:

Imaoo

Step-by-step explanation:

answer: C

4 0
3 years ago
Read 2 more answers
Which calculation will always give a result greater than 1?
masha68 [24]

Answer:

1 3/4 - a<3/4

proof:

1 3/4 -a<3/4

=>1 3/4 - 1 3/4 -a<3/4- 1 3/4

=>-a<-1

=>a>1

5 0
3 years ago
Comparing objects using percentages?How?
NeX [460]
Please clarify your question
6 0
3 years ago
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