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3 years ago

Describe one difference between rewriting a literal equation and solving an equation in one variable.

Mathematics

1 answer:

sesenic [268]3 years ago

3 0

Literal equation:

we know that

literal equation is equation of more one variable

for example: $2x+3y=1$

And we can solve such equations only if we are given two such equation

because it has two variables

One variable equation:

such equation has single variables

for example:

$3x=21$

we don't need any other equation

we can solve for variables from single equation itself

because it has only one variable that is x

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What is the factored form of the function f(x)=x^3+8x^2+5x−50?

Inga [223]

Answer:

the factors of f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)

Step-by-step explanation:

We need to factorise the function $f(x)=x^3+8x^2+5x-50$

If a number is a factor of this function than it must be completely divisible by last co-efficient. Our last co-efficient is -50

Checking few numbers:

$f(1)=(1)^{3}+8(1)^2+5(1)-50\\f(1)=1+8+5-50\\f(1)=-32\\Now \ putting \ x= 2 \\f(2)=(2)^{3}+8(2)^2+5(2)-50\\f(2)=8+8(4)+10-50\\f(2)=8+32+10-50\\f(2)=0$

So, f(2)=0 which means x-2 is a factor of the given function. Now we will perform long division of $x^3+8x^2+5x-50$ by (x-2) to find other factors

The long division is shown in figure attached.

After long division we get: $x^2+10x+25$

The equation $x^2+10x+25$ can be further simplified as: (x+5)(x+5) or (x+5)^2

So, the factors of f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)

3 0

3 years ago

Airline fares for a flight from Dallas to Austin are $30 for first class and $25 for tourist class. If a flight had 52 passenger

Nezavi [6.7K]

Set up 2 equations.(x = number of people in first class, y = tourist class)

30x + 25y = 1360
x + y = 52

You have 2 equations and 2 unknown. You can solve them.
I like to use the substitution method

Because y = 52 - x
Then 30x + 25(52 - x) = 1360, solve for x.

30x + 1300 - 25x = 1360
5x = 60
x = 12

Use the x to solve y
30(12) + 25y = 1360
360 + 25y = 1360
25y = 1000
y = 40

8 0

3 years ago

Section J in an arena has 20 rows each row has 15 seats all tickets cost $18 each if all the seats are sold, how much money will

quester [9]

If there are 20 rows each and 15 per row then you would multiply 20(15) = 300 then so there are 300 seats in Section J. each seat is 18$ so you would multiply 300(18) = 5400 so section J would get 5,400$ if it were to be sold out. The equation is 20(15)=300(18)=5400

5 0

3 years ago

At a discount furniture store, there is a sale price of $550 for a couch

cestrela7 [59]

Answer:

594$ with sales tax

Step-by-step explanation:

550 + 44.00 = 594

5 0

3 years ago

Sally is driving at 30 miles an hour on the Freeway. The next town Sally will reach is 20 miles away. How long will it take Sall

lilavasa [31]

Sally to get to the next town in 2/3 hour.

According to the statement

The distance covered by sally to get next town is 20 miles

Speed at which sally drive is 30 miles per hour

We know that the

TIME = DISTANCE / SPEED

Substitute the values in it and

TIME = 20 / 30

TIME = 2/3 hour

So, Sally to get to the next town in 2/3 hour.

Learn more about SPEED here brainly.com/question/4931057

#SPJ4

5 0

2 years ago