The difference of four times a number and seven is thirteen

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?

The demand equation.

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

Samuel paid $25.82 for gas this week, which was $3.47 less than he paid last week. How much had he paid last week?

Yuri [45]

Samuel was paid $29.29 last week.

Hope this helps

5 0

3 years ago

How to determine whether each relation is a function {(3,-8),(-9,1),(3,2),(-4,1),(-11,-2)

crimeas [40]

No. notice you have (3,-8) and (3,2). a function cannot have the same number on the left of the come (the x value) with different values on the right (h the y values)

3 0

3 years ago

which of the following correlation coefficients is indicative of the strongest relationship between the two variables

VladimirAG [237]

The strongest linear relationship of correlation coefficient is a -1 or 1.

According to the statement

we have given that the cases and the out of these we have to ensure that which case show the correlation coefficients is indicative of the strongest relationship between the two variables

So, For this purpose

The relationship of correlation coefficient is a statistical measure that calculates the strength of the relationship between the relative movements of two variables.

And according to the given cases

The strongest linear relationship is indicated by a correlation coefficient of -1 or 1.

The weakest linear relationship is indicated by a correlation coefficient equal to 0. A positive correlation means that if one variable gets bigger, the other variable tends to get bigger.

So, The strongest linear relationship of correlation coefficient is a -1 or 1.

Learn more about relationship of correlation coefficient here brainly.com/question/4219149

#SPJ4

6 0

2 years ago

ine segment XY has endpoints X(–10, –1) and Y(5, 15). To find the y-coordinate of the point that divides the directed line segme

stiks02 [169]

X=(-10,-1)=(Xx,Yx)→Xx=-10, Yx=-1
Y=(5,15)=(Xy,Yy)→Xy=5,Yy=15
y=?
ratio=5:3→r=5/3
y=(Yx+rYy) / (1+r)
y=[-1+(5/3)15] / (1+5/3)
y=[-1+(5*15)/3] / [(3+5)/3]
y=(-1+75/3) / (8/3)
y=(-1+25) / (8/3)
y=(24) / (8/3)
y=24*(3/8)
y=72/8
y=9

Asnwer: The y-coordinate of the point that divides the directed line segment XY in a 5:3 ratio is y=9

3 0

3 years ago

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