Which equation is a linear function??

Suppose you budgeted $2800 for fuel expenses for the year. How many miles could you drive if gas were $2.70 per gallon and your

Julli [10]

Answer:

29037.036 miles

Step-by-step explanation

There are two possible ways to solve this problem.

The first option starts with the $2800 dollars for the years. You first want to divide this by $2.70, because it will give you the amount of gallons of gas you can buy with that money.

2800/2.70 = 1037.037

This means you can buy 1037.037 gallons of gas in the year. Now you need to convert this to miles by multiplying by the amount of miles per gallon.

1037.037 x 28 = 29037.036 gallons

The second way to look at this is dimensional analysis. If you have learned this, then continue on reading this, but if you haven't I might only confuse you. I only suggest this because it can make it a little easier.

For the dimensional analysis, you need to start with what you are given and move to what you need to know, so you will start with the $2800 dollars and move to gallons. $2.70 per gallon and 28 miles per gallon are your conversion factors.

Set it up like this:

$2800 dollars * \frac{1 gallon}{2.70 dollars} * \frac{28 miles}{1 gallon} = 29037.036 miles$

This allows the equation to be more organized, and you can check your work by canceling the units.

Hope this helps.

3 0

2 years ago

When the water was 4 feet from the end of the hose, what was its height above the ground? 3.2 feet 4.8 feet 5.6 feet 6.8 feet

Crank

Answer:

Step-by-step explanation:

a. 3.2 feet

8 0

2 years ago

Need help in algebra fast

Gennadij [26K]

Answer:

A

Step-by-step explanation:

This is a strict inequality so the line must be dotted, meaning it can only be A or D.

The inequality says that y is less than -2x+4 so we want the region under the line, making A the correct answer.

5 0

3 years ago

Factor the following trinomial. (Hint: Solve the equations first.)<br><br> x²-2x-2

Alex_Xolod [135]

Answer:

$(x-(1+\sqrt{3}))(x-(1-\sqrt{3}))$

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2} -2x-2=0$

so

$a=1\\b=-2\\c=-2$

substitute in the formula

$x=\frac{-(-2)(+/-)\sqrt{-2^{2}-4(1)(-2)}} {2(1)}$

$x=\frac{2(+/-)\sqrt{12}} {2}$

$x=\frac{2(+/-)2\sqrt{3}} {2}$

$x_1=\frac{2(+)2\sqrt{3}} {2}=1+\sqrt{3}$

$x_2=\frac{2(-)2\sqrt{3}} {2}=1-\sqrt{3}$

therefore

$x^{2} -2x-2=(x-(1+\sqrt{3}))(x-(1-\sqrt{3}))$

5 0

3 years ago

Maria bought a bracelet. She paid $0.72 in sales tax at a rate of 6%. What was the original price of the bracelet, before tax?

VikaD [51]

Answer:

0.76 rounded don't mind my explanation

Step-by-step explanation:

in Geometry if you want a farewell you need to know the parallel lines they never touch they're always the same distance apart it's as if they don't like each other much and there's only one thing that comes between the line that passes right through each of them called the transversal line it has several angle properties just like these: vertically opposite angles are equal corresponding angles are equal alternate interior angles are equal co-interior angles equal 180* vertically opposite angles are equal corresponding angles are equal alternate interior angles are equal co-interior angles equal 180*

6 0

2 years ago

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