1/2 x 1/4 answer then write in simplest form

HI can you help me with this problem?The quantity demanded x for a certain brand of MP3 players is 300 units when the unit price

Vlad [161]

The demand equation is P = -0.05x + 105

STEP - BY - STEP EXPLANATION

What to find?

<em>The demand equation.</em>

The following information is used to solve the problem.

If (x₁ , y₁) and (x₂, y₂) are any dinstinct points on a line a non-vertical line L, then the equation of the line that has a slope(m) and passes through the point (x₁ , y₁) is given by the formula below:

$y-y_1=_{}\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Assume p, be the unit price and x be the demand when the price is $p.

From the question given, when the unit price x = 300 units, the demand p = $90 and when the unit price x = 1300 units, the demand p = $40

This means the demand curve passes through the points (300, 90) and (1300, 40).

Assume the demand equation is linear, then the line of the equation passes through the points (300, 90) and (1300, 40).

Now;

y=p x₁ =300 y₁ = 90 x₂ = 1300 y₂=40

Substitute the values into the function and simplify.

$p-90=\frac{40-90}{1300-300}(x-300)$

Simplify the above.

$p-90=\frac{-50}{1000}(x-300)$ $p-90=-0.05(x-300)$

Open the parenthesis.

P- 90 = -0.05x + 15

Add 90 to both-side of the equation.

P = -0.05x + 15 + 90

P = -0.05x + 105

Hence, the demand function is P = -0.05x + 105

6 0

1 year ago

Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. Se

sesenic [268]

Answer:

$Log_5 12=1.54$

Step-by-step explanation:

We are given that

$Log_5 12$

We have to find the value of given logarithms by using change-base formula

Base-change formula:

$log_a b=\frac{Log_x b}{Log_x a}$

Where x=New base

Using the formula then, we get

$Log_5 12=\frac{log_{10} 12}{log_{10} 5}$

Substitute the values $log_{10}12=1.079, log_{10}5=0.699$

Then,we get

$Log_5 12=\frac{1.079}{0.699}$

$Log_5 12=1.54$

3 0

3 years ago

2.5m to 150 cm <br>express these ratios in its simplest form.

oksano4ka [1.4K]

Answer:

The ratios in the simplest form is 5:3

Step-by-step explanation:

Given that:

2.5m to 150cm

We have to express these ratios in simplest form but we will convert the quantities into same unit first.

Therefore,

Converting meters into centimeters

1 meter = 100 cm

2.5 m = 100*2.5 = 250 cm

Ratio form;

250 cm : 150 cm

As both the number are multiples of 50,

$\frac{250}{50}:\frac{150}{50}\\5:3$

Hence,

The ratios in the simplest form is 5:3

4 0

3 years ago

Can anyone help with this

Anna [14]

f(x - n) - shift n units to right

f(x + n) - shift n units to left

f(x) + n - shift n units up

f(x) - n - shift n units down

Look at the picture.

Answer: $y=\sqrt{x+3}$

5 0

3 years ago

Work out m and c for the line: y = 4 x − 1

vaieri [72.5K]

Answer:

m=4 and c=-1

Step-by-step explanation:

I'm assuming that m is the slope and c is the y-intercept. (If this is not the case, please tell me and I'll fix my answer).

The equation is already in the form y=mx+c so you just take the numbers from the problem y=4x-1.

6 0

3 years ago

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