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3 years ago

If a = b + 6 but a also = b * 3, what are the variables?

Mathematics

2 answers:

Ratling [72]3 years ago

4 0

The b would equal 3 because 3 + 6 = 9 and 3 * 3 = 9

netineya [11]3 years ago

4 0

Answer:

a = 9, b = 3

Step-by-step explanation:

Given:

a = b + 6
a = b*3

Then, eliminate a:

b + 6 = 3b
2b = 6
b = 3

Find a:

a = 3+ 6 = 9

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Find the equation of the line

Elis [28]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x - 2 ← is in slope- intercept form

with slope m = 6

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{6}$ , thus

y = - $\frac{1}{6}$ x + c ← is the partial equation

To find c substitute (6, - 2 ) into the partial equation

- 2 = - 1 + c ⇒ c = - 2 + 1 = - 1

y = - $\frac{1}{6}$ x - 1 ← equation of line

6 0

4 years ago

The distance an object falls when dropped from a tower varies directly as the square of the time it falls. If the object falls 1

dexar [7]

288 feet because your doubling the time so you double the feet

7 0

3 years ago

Read 2 more answers

If p=3q^3 , is p a function of q ?

nexus9112 [7]

Yes, it is a function of q since it is expressed in terms of q and hence depends on q.

8 0

3 years ago

Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible. Let x be the number and let

Allisa [31]

Answer:

$S(x) = x + \frac{1}{x}$ --- Objective function

Interval = $\{x:x=1\}$

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

$x + \frac{1}{x}$

Hence, the objective function is:

$S(x) = x + \frac{1}{x}$

To get the the interval, we start by differentiating w.r.t x

Using first principle, this gives:

$S'(x) = 1 - \frac{1}{x^2}$

Equate S'(x) to 0 in order to solve for x

$0 = 1 - \frac{1}{x^2}$

Subtract 1 from both sides

$0 -1 = 1 -1 - \frac{1}{x^2}$

$-1 = - \frac{1}{x^2}$

Multiply both sides by -1

$1 = \frac{1}{x^2}$

Cross Multiply

$x^2 * 1 = 1$

$x^2 = 1$

Take positive square root of both sides because x is positive

$\sqrt{x^2} = \sqrt{1$

$x = 1$

Representing x using interval notation, we have

Interval = $\{x:x=1\}$

To get the smallest sum, we substitute 1 for x in $S(x) = x + \frac{1}{x}$

$S(1) = 1 + \frac{1}{1}$

$S(1) = 1 + 1$

$S(1) = 2$

Hence, the smallest sum is 2

3 0

3 years ago

carol's father was 24 years old when carol was born, now he is 4 times as old a carol how old is carol

tensa zangetsu [6.8K]

Answer:

24 - 24 = 0 (carols age past tense)

24 x 4 = 96

96 - 24 = 72 (present tense)

carol is now 72 yr

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3 years ago