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2 years ago

Given fx= x+6 and gx=12x-7 , what is fx+gx?

Mathematics

2 answers:

Jlenok [28]2 years ago

4 0

The answer is ...........13x-1

Margaret [11]2 years ago

4 0

f(x)+g(x) is 13x-1

<u>Explanation: </u>

Given:

f(x)= x+6

g(x)=12x-7

To Find:

f(x)+g(x)=?

Solution:

Substituting the given values in f(x)+g(x)

f(x)+g(x)= x+6+12x-7

combine the like terms

f(x)+g(x)= x+12x+6-7

f(x)+g(x)= 13x-1

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You have 14 coins that are nickles and quarters that equals 2 dollars how do you solve using substitution?

sergejj [24]

Answer:

The question is incorrect but if half nickels and quarters exist then you could say the answer is 7.5 nickels and 6.5 quarters.

The problem:

14 coins that are either nickels are quarters

The total dollar amount of these coins is 2 dollars

Step-by-step explanation:

Let n be the number of nickels.

Let q be the number of quarters.

We are given that n+q=14 and that .05n+.25q=2.

I'm going to choose to solve the system by elimination.

Multiplying the first equation by .25 gives:

.25n+.25q=.25(14)

.25n+.25q=3.5

So let's line the equations up now:

.25n+.25q=3.5

.05n+.25q=2

---------------------If we subtract the equations, the variable q will be eliminated. Thus, we will able to solve for the variable n.

.20n+0q=1.5

.20n=1.5

Dividing both sides by .2 gives:

n=7.5

If n=7.5 and n+q=14, then we have 7.5+q=14 by substitution property.

We can subtract 7.5 on both sides giving us:

q=14-7.5=6.5

We cannot have 7.5 nickels and 6.5 quarters but this satisfies the given information.

Check:

7.5+6.5=(7+6)+(.5+.5)=13+1=14

7.5(.05)+6.5(.25)=2

Now, the requested way which is by substitution:

Let n be the number of nickels.

Let q be the number of quarters.

We are given that n+q=14 and that .05n+.25q=2.

We can solve the first equation for either n or q and then substitute that into the other equation allowing us to solve for the other variable.

Let's solve for q by subtraction n on both sides:

q=14-n

We are going to replace q in the second equation with (14-n) giving us:

.05n+.25(14-n)=2

Distribute:

.05n+3.5-.25n=2

Combine like terms:

-0.2n+3.5=2

Subtract 3.5 on both sides:

-0.2n=-1.5

Divide both sides by -0.2:

n=7.5

Since q=14-n and n=7.5, then q=14-7.5=6.5 .

We are already check the solution above.

8 0

2 years ago

Choose correct graph with following function

anyanavicka [17]

Answer:

Step-by-step explanation:

From the function, y = cos (3x)

Inputting values of x (horizontal axis), x = pi

y = cos (3 × pi)

= -1 ( remember you are dealing with values in radians not degree)

So now graph 1 and 3 have the same values. So inputting, x = pi/2 into the function, y = cos (3x)

= cos ((3 × pi)/2)

= 0

View the correct graph below.

6 0

2 years ago

I need help plsss<br> Nowww

enyata [817]

8: tenths
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2 years ago

Solve the radical equation x – 7 = square root of -4x+28. Which statement is true about the solutions to the radical equation? T

Julli [10]

Answer:

x = 3 and 7

There are two true solutions.

Step-by-step explanation:

To solve $x-7 = \sqrt{-4x+28}$ , use inverse operations by squaring both sides of the equal sign.

$(x-7)^2 = (\sqrt{-4x+28})^2\\x^2-14x+49 = -4x+28\\x^2-14x+4x+49-28 = 0\\x^2-10x+21=0$

The quadratic expression can be factored into binomials and set equal to 0 by the zero product property to find x.

(x - 3) ( x - 7) = 0

x-3 = 0 so x=3

x-7 = 0 so x=7

Now check each solution into the original equation to be sure it solve the solution and is not extraneous.

$7-7 = \sqrt{-4(7)+28}\\ 0=0$

and

$3-7 = \sqrt{-4(3)+28}\\[tex]-4 = \sqrt{16}\\-4 =-4$ [/tex]

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2 years ago

Name the algebraic property demonstrated in the example below.

lilavasa [31]

The algebraic property demonstrated in the example below is Transitive Property of Equality. There we can see how the first thing is equal to the second one and notice that the first one is equal to the third one too. This is a Transitive Property of Equality in a nutshel.

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2 years ago