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professor190 [17]
2 years ago
7

The automaker of your new car recommends an oil change following the first 5,000 miles and then every 3,000 miles thereafter. If

you plan to drive the car 250 miles a week, how many oil changes will you need the first year?
Mathematics
1 answer:
Jlenok [28]2 years ago
7 0

To determine how many oil changes you will need the first year, you can calculate the number of miles driven the first year and then use that to determine how many groups of 3000 miles you will drive after the first 5000 miles.


1. 52 x 250 = 13000 miles

2. 13000 miles - 5000 miles (1 oil change) = 8000 miles

3. 8000 miles - 3000 miles (1 oil change) - 3000 miles (1 oil change) = 2000 miles


The first year, you will need 3 oil changes.

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Alan says that two lines in the coordinate plane are perpendicular if and only if the slopes of the lines are m and 1m. Identify
mart [117]

Answer:

First, two lines are perpendicular if one has slope m, and the other has slope -1/m (Not 1m as Alan says)

That is the first error of Alan.

Now, there is another error.

If m = 0, then -1/m tends to minus infinity (in this case we would have a vertical line).

But we can not really divide by zero, so we should state that:

m can not be zero, if a line is horizontal, the perpendicular line must be vertical.

7 0
2 years ago
What are the zeros of the quadratic function f(x) = 6x^2 + 12x – 7?
strojnjashka [21]

Answer:

x1=\frac{-2+\sqrt{26/3}}{2}

x2=\frac{-2-\sqrt{26/3} }{2}

Step-by-step explanation:

To find the zeros of the quadratic function f(x)=6x^2 + 12x – 7 we need to factorize the polynomial.

To do so, we need to use the quadratic formula, which states that the solution to any equation of the form ax^2 + bx + c = 0 is:

x=\frac{-b±\sqrt{b^{2}-4ac}}{2a}

So, the first thing we're going to do is divide the whole function by 6:

6x^2 + 12x – 7 = 0 -> x^2 + 2x - 7/6

This step is optional, but it makes things quite easier.

Then we using the quadratic formula, where:

a=1, b= 2, c = -7/6.

Then:

x=\frac{-2±\sqrt{2^{2}-4(1)(-7/6)}}{2}

x=\frac{-2±\sqrt{4 +14/3}}{2}

x=\frac{-2±\sqrt{26/3}}{2}

So the zeros are:

x1=\frac{-2+\sqrt{26/3}}{2}

x2=\frac{-2-\sqrt{26/3}}{2}

4 0
2 years ago
Decimal 0.003 is 1/10 of
Grace [21]
Just multiply the 0.003 by 10 and you'll get the result. The easiest way to multiply such numbers is to move the dot one position to the right (it would be 2 positions if multiplied by 100, 3 by 1000 etc.). You can do the same with dividing, just remember to move to the left then.

So 0.03 is your answer

<span>Hope I Helped!!!</span>
6 0
2 years ago
Given that $A = (\sqrt{2008}+\sqrt{2009}),$ $B = (-\sqrt{2008}-\sqrt{2009}),$ $C = (\sqrt{2008}-\sqrt{2009}),$ and $D = (\sqrt{2
kipiarov [429]

Answer:

ABCD = 0.803

Step-by-step explanation:

A = \sqrt{2008}+\sqrt{2009} \\A = 44.81 + 44.82\\A = 89.63

B = -\sqrt{2008}-\sqrt{2009}\\B = -44.81 - 44.82\\B = -89.63

C = \sqrt{2008}-\sqrt{2009}\\C = 44.81 - 44.82\\C = - 0.01

D = \sqrt{2009}-\sqrt{2008}\\D = 44.82 - 44.81\\D = 0.01

ABCD = 89.63 * (-89.63) * (-0.01) * (0.01)

ABCD = 0.803

6 0
2 years ago
Bill said, “I am half as old as my sister was last year.” If Bill is now 8 years old, how old is Bill’s sister?
Licemer1 [7]

Answer:

i think 14

Step-by-step explanation:

6 0
2 years ago
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