All categories

2 years ago

Solve for a. 7a-2b = 5a b

Mathematics

2 answers:

Nookie1986 [14]2 years ago

8 0

For this case we have the following expression:

$7a-2b = 5ab$

From here, we must clear the value of a.

We then have the following steps:

Place the terms that depend on a on the same side of the equation:

$7a - 5ab = 2b$

Do common factor "a":

$a (7 - 5b) = 2b$

Clear the value of "a" by dividing the factor within the parenthesis:

$a =\frac{2b}{7-5b}$

Answer:

The clear expression for "a" is given by:

$a =\frac{2b}{7-5b}$

Fittoniya [83]2 years ago

8 0

Answer: The required value of a is $\dfrac{2b}{7-5b}.$

Step-by-step explanation: We are given to solve the following equation for the value of a:

$7a-2b=5ab~~~~~~~~~~~~~~~~~~~~~(i)$

Since there are two unknowns and only one equation , so the value of a will definitely contain the value of b.

The solution of equation (i) for a is as follows:

$7a-2b=5ab\\\\\Rightarrow 7a-5ab=2b\\\\\Rightarrow a(7-5b)=2b\\\\\Rightarrow a=\dfrac{2b}{7-5b}.$

Thus, the required value of a is $\dfrac{2b}{7-5b}.$

You might be interested in

A pharmacist is filling small empty bottles with cough syrup from a larger bottle. He can solve the inequality to find the numbe

sammy [17]

Answer:

1000 -25x >250.

Step-by-step explanation:

Let us assume the capacity of a large bottle = 1000 ml.

And the capacity of each small bottle = 25 ml.

Reaming milliliters in large bottles = 250 milliliters.

Number of bottles = x bottles.

The total capacity of the large bottle - capacity of a small bottle × number of bottles > Remaining milliliters in a large bottle.

Therefore, we can set up an inequality.

1000 - 25 × x > 250.

1000 -25x >250.

4 0

2 years ago

How do you solve dy/dx=(y−1)(y+1) if the solution passes through the point (x,y)=(4,0)(x,y)=(4,0)?

OLEGan [10]

Sorry
==========================
================

6 0

2 years ago

In 2009, a brand new SUV cost $35,000 to drive off the lot. In 2012 that same SUV was valued at $22,500. Write an exponential eq

lesya [120]

-$12,500 every 4 years

5 0

2 years ago

Kayleigh babysat for 11 hours this week. That was 5 fewer than 2/3 as many hours as she babysat last week, h. Write an equation

lukranit [14]

Answer: The answer is $\textup{x}=\dfrac{2}{3}\textup{h}-5.$

Step-by-step explanation: Given that Kayleigh babysat for 11 hours the present week. Also, this was 5 less than two-third of the number of hours she babysat last week, which is represented by 'h'.

We are to write an equation to represent the number of hours she babysat each week.

So, for that, let 'x' be the number of hours she babysat this week. Then, according to the question, we can write

$\textup{x}=\dfrac{2}{3}\textup{h}-5.$

Also, it is given that

$\textup{x}=11.$

Therefore,

$11=\dfrac{2}{3}\textup{h}-5\\\\\Rightarrow \dfrac{2}{3}\textup{h}=16\\\\\Rightarrow \textup{h}=24.$

Hence, using the above relation, we can find the number oh hours Keyleigh babysat each week.

Thus, the required equation is

$\textup{x}=\dfrac{2}{3}\textup{h}-5,$

where, 'x' and 'h' are the number of hours she sat this week and last week respectively.

4 0

2 years ago

f(x) = −16x2 + 24x + 16 Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points) Part B: Is the vertex

DerKrebs [107]

Answer:

see below

Step-by-step explanation:

f(x) = −16x^2 + 24x + 16

Set equal to zero to find the x intercepts

0 = −16x^2 + 24x + 16

Factor out -8

0 = -8(2x^2 -3x-2)

Factor

0 = -8(2x +1) (x-2)

Using the zero product property

2x+1 =0 x-2 =0

x = -1/2 x=2

The x intercepts are -1/2 ,2

Since the coefficient of x^2 is negative the graph will open down and the vertex will be a maximum

The x value of the maximum is 1/2 way between the zeros

(-1/2+2) /2 = 1.5/2 =.75

To find the y value substitute into the function

f(.75) = -8(2x +1) (x-2)

=-8(2*.75+1) (.75-2)

= -8(2.5)(-1.25)

=25

The vertex is at (.75, 25)

We have the zeros, and the vertex. We know the graph is symmetrical about the vertex

3 0

2 years ago