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ICE Princess25 [194]
3 years ago
10

A television regularly selling for $500 is marked down to $300.  

Mathematics
1 answer:
Igoryamba3 years ago
3 0
He saves $200 (the amount of change over the original amount $500

200/500  = 2/5  and 2/5 = 40%  (divide 2 by 5 and get .4 which = 40%)

40% discount is the answer to your question
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Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated
Illusion [34]

Answer:

x=-2,0,3

Step-by-step explanation:

We have been given a function f(x)=15x^3-15x^2-90x. We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

15x^3-15x^2-90x=0

Now, we will factor our equation. We can see that all terms of our equation a common factor that is 15x.

Upon factoring out 15x, we will get:

15x(x^2-x-6)=0

Now, we will split the middle term of our equation into parts, whose sum is -1 and whose product is -6. We know such two numbers are -3\text{ and }2.

15x(x^2-3x+2x-6)=0

15x((x^2-3x)+(2x-6))=0

15x(x(x-3)+2(x-3))=0

15x(x-3)(x+2)=0

Now, we will use zero product property to find the zeros of our given function.

15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0

15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0

\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0

x=0\text{ (or) }x=3\text{ (or) }x=-2

Therefore, the zeros of our given function are x=-2,0,3.

7 0
3 years ago
Q and R are independent events. If P(Q)= 1/8 and P(R)=2/5 find P(Q and R).
Dafna11 [192]
Answer: 1/20
To find P(Q and R), you have to multiply P(Q) by P(R) to get the probability that both events will occur. P(Q) = 1/8, and P(R) = 2/5, so when multiplied together, you get 2/40. This simplifies to 1/20, meaning P(Q and R) = 1/20.
3 0
3 years ago
Antes de resolver un cálculo combinado debes:
gtnhenbr [62]

Answer:

To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price. The result is the total cost—this is what the customer pays.

courses.lumenlearning.com › chapter

Solving Sales Tax

6 0
2 years ago
Oliver buys 4 pineapples. Each pineapple is
Ksenya-84 [330]

Answer:

hello

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Factor the polynomial 3x3-12x2-27x
zheka24 [161]
The GCF is 3x so we have:-

3x(x^2 - 4x - 9)  <---- answer
4 0
3 years ago
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