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3 years ago

Can someone simplify these expressions (c)

Mathematics

1 answer:

creativ13 [48]3 years ago

8 0

Answer:

(10x+5)-(-23-2x)=

10x+5+23+2x

=12x+28

2x+5x^2-(3x+7x^2)=

2x+5x^2-3x-7x^2

= -2x^2-1

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A new car is purchased for 23900 dollars. The value of the car depreciates at 9.75% per year. To the nearest year, how long will

inna [77]

Answer:

11 years

Step-by-step explanation:

we know that

The formula to calculate the depreciated value is equal to

$V=P(1-r)^{x}$

where

V is the depreciated value

P is the original value

r is the rate of depreciation in decimal

x is Number of Time Periods

in this problem we have

$P=\$23,900\\r=9.75\%=0.0975\\x=?\\V=\$7,700$

substitute in the formula

$7,700=23,900(1-0.0975)^{x}$

$(77/239)=(0.9025)^{x}$

Apply log both sides

$log(77/239)=xlog(0.9025)$

$x=log(77/239)/log(0.9025)$

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3 years ago

In 2000, Canada produced 3.0 million new motor vehicles. In 2006, it produced 2.5 million. Write the linear equation (in slope-i

kogti [31]

To begin, you are given two point that this function would intercept: (0,3) where the 0 is the original year (2000) and 3 is the amount of million cars sold. The next point would be (6,2.5) Where the 6 is the 6 years later and the 2.5 is the 2.5 million cars sold. Since we have 2 points, we can work out the gradient by finding the rate of change in y and dividing by the rate of change in x:
$\frac{y_{1}- y_{2} }{x_{1}- x_{2} }$

We then substitute in the points:
$x_{1} =3$
$y_{1} =0$
$x_{2} =2.5$
$y_{2} =6$

$\frac{3-2.5}{0-6}$
$=\frac{0.5}{-6}$
$=-.083$

Because we started on the y-intercept of (0,3), we already have our intercept value of 3. If we did not start with the y-intercept given, we could substitute in a point to solve for it:

Using point (2.5,6):

<span> $2.5=-0.083*6+c$
</span> $2.5=-0.5+c$
$2.5+0.5=c$
$c=3$

Hope this helps :)

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3 years ago

Write "six times 3 minus 3" as an expression.

777dan777 [17]

Answer:

6(3)-3

Step-by-step explanation:

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3 years ago

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Consider a situation in which P(X) =

yarga [219]

Answer:

A: They are independent because P(X). P(Y) = PIX and Y).

Step-by-step explanation:

A) Two events X and Y are said to be independent if the probability of X occurring does not affect the probability of Y occurring or the probability of Y occurring does not affect the probability of X occurring. An example of independent events is the rolling of a die and flipping of a coin because the probability of getting a face in the die does not influence the probability of getting a head or tail in the coin. The probability of both events occurring is given as:

P(X and Y) = P(X).P(Y)

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It would take an apprentice house painter 1.5h longer than his supervisor to paint an apartment. If they work together they can

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