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3 years ago

He tables for f(x) and g(x) are shown below.

Mathematics

1 answer:

astra-53 [7]3 years ago

8 0

Answer:

$(f - g)(5) = 16$

Step-by-step explanation:

Given

See attachment for tables

Required

$(f - g)(5)$

This is calculated as:

$(f - g)(5) = f(5) - g(5)$

From the table, we have:

$f(5) = 29;\ \ g(5) = 13$

So:

$(f - g)(5) = 29 - 13$

$(f - g)(5) = 16$

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Marta_Voda [28]

Answer:

B. Infinitely many solutions

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3 years ago

How to solve the equation 9v = 8 + v

zloy xaker [14]

Here are some things you should know when solving algebraic equations.

If you add an expression to both sides of an equation, the resulting equation will have the same solution set as the original equation. In other words, they will be equivalent. This is true for all operations. As long both sides are treated the same, the equation will stay balanced.

You will also need to know how to combine like terms. But what are like terms to begin with? Like terms are defined as two terms having the same variable(s) (or lack thereof) and are raised to the same power. In mathematics, something raised to the first power stays the same. So, 5x and 10x are like terms because they both have the same variable and are raised to the first power. You don’t see the exponents because it doesn’t change the value of the terms.

To combine like terms, simplify add the coefficients and keep the common variable(s) and exponent.

The distributive property is another important rule you will need to understand.

The distributive property is used mostly for simplifying parentheses in expressions/equations.

For example, how would you get rid of the parentheses here?

6(x + 1)

If there wasn’t an unknown in between the parentheses, you could just add then multiply. That is what the distributive property solves. The distributive property states that a(b + c) = ab + ac

So, now we can simplify our expression.

6(x + 1) = 6x + 6

Now let's solve your equation.

9v = 8 + v
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So, v is equal to 1.

5 0

3 years ago

logan trades 50 pennies for nickels he gets a nickel for each group of 5 pennies what equation can be used to find how many nick

V125BC [204]

The equation that can be used to find how many nickels logan uses is: 50÷5.

<h3>Equation to find the number of nickels</h3>

Given:

Total pennies=50

Logan got a nickel of 5 pennies=1

Hence:

Number of nickels=1÷5×50

Number of nickels=50÷5

Number of nickels=10 nickels

Therefore the equation that can be used to find how many nickels logan uses is: 50÷5.

Learn more about Equation to find the number of nickels here:brainly.com/question/10704332

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2 years ago

Use the equation and type the ordered-pairs. y = log 3 x {(1/3, a0), (1, a1), (3, a2), (9, a3), (27, a4), (81, a5)

vagabundo [1.1K]

Answer:

Considering the given equation $y = log_{3}x\\$

And the ordered pairs in the format $(x, y)$

I don't know if it is log of base 3 or 10, but I will assume it is 3.

For $(\frac{1}{3}, a_{0} )$

$x=\frac{1}{3}$

$y=a_{0}$

$y = log_{3}x\\y = log_{3}(\frac{1}{3} )\\y=-\log _3\left(3\right)\\y=-1$

So the ordered pair will be $(\frac{1}{3}, -1 )$

For $(1, a_{1} )$

$x=1$

$y=a_{1}$

$y = log_{3}x\\y = log_{3}1\\y = log_{3}(1)\\Note: \log _a(1)=0\\y = 0$

So the ordered pair will be $(1, 0 )$

For $(3, a_{2} )$

$x=3$

$y=a_{2}$

$y = log_{3}x\\y = log_{3}3\\y = 1$

So the ordered pair will be $(3, 1 )$

For $(9, a_{3} )$

$x=9$

$y=a_{3}$

$y = log_{3}x\\y = log_{3}9\\y=2\log _3\left(3\right)\\y=2$

So the ordered pair will be $(9, 2 )$

For $(27, a_{4} )$

$x=27$

$y=a_{4}$

$y = log_{3}x\\y = log_{3}27\\y=3\log _3\left(3\right)\\y=3$

So the ordered pair will be $(27, 3 )$

For $(81, a_{5} )$

$x=81$

$y=a_{5}$

$y = log_{3}x\\y = log_{3}81\\y=4\log _3\left(3\right)\\y=4$

So the ordered pair will be $(81, 4 )$

4 0

3 years ago

This week laptops are 25 percent off if a laptop cost $340 what is it's sale price

Nata [24]

The sale price is 255 dollars.
To get the answer you find out that ten percent of 340 is 34 dollars. then you double the percentage which brings you to 68 dollars. but you still have 5 percent left over. Half of the ten percent is 17 dollars. finally you add 68 plus 17 which gives you 84 dollars. Lastly subtract 84 dollars from 340 which gives you 255

Hope this helps! :)

3 0

3 years ago

Read 2 more answers