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3 years ago

If p(x)=2x^2-4x and q(x)=x-3 what is (p*q)(x)

Mathematics

1 answer:

Tanya [424]3 years ago

4 0

Answer: 2x³-10x²+12x or 2x(x²-5x+6)

Step-by-step explanation:

(p*q)(x) means p(x) and q(x) multiplied together.

(2x²-4x)(x-3)

2x³-6x²-4x²+12x

2x³-10x²+12x

You can also factor this by taking out a 2x.

2x(x²-5x+6)

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luda_lava [24]

Veterx id 7 opens vertically passes fhtought the point

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3 years ago

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Llana [10]

Answer:

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Step-by-step explanation:

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3 years ago

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A pet store has C tanks of fish. Each tank has 38 fish. using C, write an expression for the total number of fish in the store.

Arisa [49]

Answer:

total number of fish in the store

38 * C fish in store

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3 years ago

Amy has four more 20c coins than 5c coins. The total value of all her 20c and 5c is $3.80. How many 5c coins does Amy have?

skelet666 [1.2K]

Answer:

Amy has 12 5¢ coins

Step-by-step explanation:

Let <em>x</em> represent 20¢ coins and <em>y</em> represent 5¢ coins.

Amy has four more 20¢ coins than 5¢ coins. Hence:

$x=y+4$

And the total value of all her coins is $3.80. Thus:

$0.2x+0.05y=3.8$

This yields a system of equations:

$\displaystyle \begin{cases} x=y+4 \\ 0.2x+0.05y=3.8\end{cases}$

We can solve by substitution. Substitute the first equation into the first:

$\displaystyle 0.2(y+4)+0.05y=3.8$

Distribute:

$\displaystyle 0.2y+0.8+0.05y=3.8$

Combine like terms:

$\displaystyle 0.25y = 3$

And divide both sides by 0.25. Hence:

$y=12$

Thus, Amy has 12 5¢ coins.

Using the first equation:

$x=y+4$

Substitute:

$x=(12)+4=16$

Thus, Amy has 16 20¢ coins.

In conclusion, Amy has 12 5¢ coins and 16 20¢ coins.

6 0

3 years ago

Find the longitude and latitude for the points on the globe with angular coordinates ( θ , ϕ ) = ( π 4 , 11 π 12 ) (θ,ϕ)=(π4,11π

DedPeter [7]

Answer:

For (45,165.02) Latitude and longitude is (45 0' 0",165 1' 12")

Hence latitude and longitude are 4 degrees 35' 59.94" and 2 degrees 47' 59.994 "

Step-by-step explanation:

Given:

The angular coordinates of the point on globe as (θ,∅)=(π/4,11π/12)

To find : longitude and latitude for this points:

Solution:

For finding this Longitude and latitude we should convert it into decimal degrees

Given that 1rad =57.295 deg.

we get for

θ=π/4

=3.142/4

=0.7855 *57.295

=45 degrees.

Now for φ=11π/12

=(11*3.142)/12=2.8801*57.295

=165.02 degrees

Now convert in longitude and latitude as ,

as degrees +min/60+seconds/3600

Now latitude =45 degrees

i.e. 45 degrees 0' 0"

And longitude as

165.02 degrees becomes

165 degrees 1' 12".

Hence For the angular co-ordinates (45,165.02)

Longitude and latitude is (45 0' 0",165 1' 12")

Now for the (4.6, 2.8)

we get using same

degrees+min/60+seconds/3600

=4 degrees 35' 59.94"

And for 2.8 means, (similar to clock analog )

=2 degrees 47' 59.94"

Hence latitude and longitude are 4 degrees 35' 59.94" and 2 degrees 47' 59.994 "

8 0

4 years ago