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Savatey [412]
2 years ago
5

You have decided to purchase a new Toyota 4Runner for $25,635. You have promised your daughter that the SUV will be hers when th

e car is worth $10,000. According to your car dealer, the SUV will depreciate in value approximately $3000 per year.
a) Write a linear equation in which y represents the total value of the car and x represents the age of the car,
Mathematics
1 answer:
-Dominant- [34]2 years ago
5 0

Ok so our two variables will be:

x=age y=price

Our equation is:

y= -3000x + $25,635


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The number of chairs Amal can paint varies directly with the amount of time she spends painting. Amal can paint 7 chairs in 3 ho
Korolek [52]

Answer:

35

Explaination:

This problem can be represented by the equation: (7/3)=(x/15) Then solve for x, which is 35.

4 0
2 years ago
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Which of the following is the product of the rational expressions shown below x+2/x-4•3x/x+4
Doss [256]

Answer:

Final answer is \frac{3x^2+6x}{x^2-16}.

Step-by-step explanation:

Given rational expressions are \frac{x+2}{x-4} and \frac{3x}{x+4}.

Now we need to find about what is the product of given rational expressions.

to multiply the rational expressions, we simply multiply numerator with numerator. Then multiply denominator with denominator.

\frac{x+2}{x-4}\cdot\frac{3x}{x+4}

=\frac{\left(x+2\right)\cdot3x}{\left(x-4\right)\cdot\left(x+4\right)}

=\frac{3x^2+6x}{x^2+4x-4x-16}

=\frac{3x^2+6x}{x^2-16}

Hence final answer is \frac{3x^2+6x}{x^2-16}.

3 0
1 year ago
For x, y ∈ R, prove that ||x| − |y|| ≤ |x − y|, (Hint: consider x = y + (x − y)).​
dlinn [17]

Using the triangular inequality (and the given hint!), we have

|x|=|(x-y)+y|\leq|x-y|+|y|\implies|x|-|y|\leq|x-y|

Similarly,

|y|=|(y-x)+x|\leq|x-y|+|x|\implies|y|-|x|\leq|x-y|\implies -|x-y| \leq |x|-|y|

We managed to bound the quantities in this fashion:

-b\leq a\leq b \implies |a|

And thus we have

||x|-|y||\leq |x-y|

7 0
2 years ago
The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the
anygoal [31]

Answer:

<u>The correct answer is C. 14.6 feet</u>

Step-by-step explanation:

Information given to solve the case:

Length of the ladder = 15 feet

Distance from the base of the wall = 3.5 feet

Using the Pythagorean theorem for finding the height, because this is a right triangle:

h² = Length of the ladder ² - Distance from the base of the wall ²

h² = 15 ²  - 3.5 ²

h² = 225  - 12.25

h² = 212.75

h = √ 212.75

h = 14.59

<u>h = 14.6 feet (Rounding to one decimal place)</u>

4 0
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Kate writes an algebraic expression using each of the variables x and y only once. they first expression she writes uses x and y
kotykmax [81]

Answer:

B: Using x and y factor results in an expression of greater value than using x and y as terms.

Step-by-step explanation:

For her first expression, x and y are factors;

xy

For her second expression, x and y are written as terms;

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Therefore, the value of x and y factors is greater than that when x and y are as terms. Thus the correct option is B.

3 0
2 years ago
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