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2 years ago

Please help I have a quiz soon

Mathematics

1 answer:

Novay_Z [31]2 years ago

3 0

Answer:

The option that no represent a linear function is $f(x)=3^x$

Step-by-step explanation:

we know that

The graph of a linear function is a straight line

The equation of a linear function in slope intercept form is equal to

$f(x)=mx+b$

where

m is the slope

b is the y-intercept

Verify each case

option 1) we have

$f(x)=3x-2$

This option represent a linear function

where

m=3

b=-2

option 2) we have

$f(x)=x$

This option represent a linear function

where

m=1

b=0

This option represent a linear direct variation function

option 3) we have

$f(x)=3^x$

This option not represent a linear function

This option represent a exponential function

option 4) we have

$f(x)=3x$

This option represent a linear function

where

m=3

b=0

This option represent a linear direct variation function

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Ayuda, 7x+14=28 6x+50=110

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2 years ago

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2 years ago

Quentin has 18 unit cubes. how many different rectangular prims can he build if he uses all of the cubes ?

frez [133]

A rectangular prism is defined by three lengths.

We can find out how many unit cubes would be in a prism by multiplying these three lengths together--that's how we find our volume.

Similarly, we can come up with different ways to multiply together three different numbers and make 18.
Each combination would be a new rectangular prism, with one catch:
Order doesn't matter. A prism with lengths 2, 2, and 3 is the same as one with lengths 2, 3, and 2, so don't make that mistake.

To find each combination, keep splitting 18 in different ways.
If one of the ways we split it can also be split, we need to write out that, too.
Here are the possible combinations:
18 × 1 × 1, obviously
9 × 2 × 1. splitting off 2
6 × 3 × 1. splitting off 3
4 × 6 × 1. our next biggest we can take out is 6, which can also be split...
4 × 3 × 2. there's the split of 6 into 2 and 3
(3 × 6 × 1 is a repeat.)
3 × 3 × 2 is new, though
(2 × 9 × 1 is a repeat...)
(2 × 3 × 3 is a repeat...)
(aaaand 1 × 1 × 18 is a repeat. let's count up our combinations.)


There are 6 possible ways to multiply numbers together and get 18...
So 6 possible rectangular prisms.

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2 years ago

Using the distributive property to rewrite the expression as a multiple of a sum of two numbers with no common factor, how would

LiRa [457]

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2 years ago

Rewrite the form In exponential form: Log100 = x

andrey2020 [161]

Answer:

$10^x=100$

Step-by-step explanation:

You know how subtraction is the opposite of addition and division is the opposite of multiplication? A logarithm is the opposite of an exponent. You know how you can rewrite the equation 3 + 2 = 5 as 5 - 3 = 2, or the equation 3 × 2 = 6 as 6 ÷ 3 = 2? This is really useful when one of those numbers on the left is unknown. 3 + _ = 8 can be rewritten as 8 - 3 = _, 4 × _ = 12 can be rewritten as 12 ÷ 4 = _. We get all our knowns on one side and our unknown by itself on the other, and the rest is computation.

We know that $3^2=9$ ; as a logarithm, the exponent gets moved to its own side of the equation, and we write the equation like this: $\log_3{9}=2$ , which you read as "the logarithm base 3 of 9 is 2." You could also read it as "the power you need to raise 3 to to get 9 is 2."

One historical quirk: because we use the decimal system, it's assumed that an expression like $\log1000$ uses base 10, and you'd interpret it as "What power do I raise 10 to to get 1000?"

The expression $\log100=x$ means "the power you need to raise 10 to to get 100 is x," or, rearranging: "10 to the x is equal to 100," which in symbols is $10^x=100$ .

(If we wanted to, we could also solve this: $10^2=100$ , so $\log100=2$ )

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2 years ago