All categories

3 years ago

What are th zeros of f(x)=x(x-8)

1 answer:

4 0

Hi there!

Let's solve this problem step by step!
The zeros of a function are the input values that produce an outcome of 0. To find this input values we must set up and solve an equation.

$f(x) = x(x - 8)$
Set up the equation

$f(x) = 0$ thus $x(x - 8) = 0$

Now use the rule AB = 0 gives A = 0 or B = 0. This rule basically means that if we have a product that equals 0, at least one of the factors must be 0.

Hence, we get the following:
$x = 0 \: \: or \: \: x - 8 = 0$

Finally add 8 to both sides in the right equation.
$x = 0 \: \: or \: \: x = 8$

The zeros of the function are 0 and 8.
~ Hope this helps you!

You might be interested in

A recipe calls for a total of 3 2/3 cup flour and sugar.if the recipe calls for 1/4 cups of sugar,how much flour does he need

viva [34]

You'll want to convert 3 2/3 into a common denominator with 1/4.
The nearest common denominator of 3 and 4 is 12.
1/4 * 3/3 = 3/12
2/3 * 4/4 = 8/12
You need 3 and 8/12 in total so subtract 3/12 from 3 8/12 to get the flour
3 8/12 - 3/12 = 3 5/12.
You would need 3 5/12 cups of flour.

6 0

4 years ago

The function h(t) = –16t2 + 96t + 6 represents an object projected into the air from a cannon. The maximum height reached by the

jolli1 [7]

If you've started pre-calculus, then you know that the derivative of h(t)
is zero where h(t) is maximum.

The derivative is      h'(t) = -32 t + 96 .

At the maximum ... h'(t) = 0

   32 t = 96 sec

   t =  3 sec .
___________________________________________

If you haven't had any calculus yet, then you don't know how to
take a derivative, and you don't know what it's good for anyway.

In that case, the question GIVES you the maximum height.
Just write it in place of h(t), then solve the quadratic equation
and find out what 't' must be at that height.

   150 ft = -16 t² + 96 t + 6

Subtract 150ft from each side: -16t² + 96t - 144 = 0 .

Before you attack that, you can divide each side by -16,
making it a lot easier to handle:

     t² - 6t + 9 = 0

I'm sure you can run with that equation now and solve it.
The solution is the time after launch when the object reaches 150 ft.
It's 3 seconds.
(Funny how the two widely different methods lead to the same answer.)

The answer is from AL2006

6 0

4 years ago

(7x-1)+(13x-19)=180 solve for x

elixir [45]

Answer:

x = 10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

(7x - 1) + (13x - 19) = 180

Step 2: Solve for x

Combine like terms: 20x - 20 = 180
Isolate x term: 20x = 200
Isolate x: x = 10

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: (7(10) - 1) + (13(10) - 19) = 180
Multiply: (70 - 1) + (130 - 19) = 180
Subtract: 69 + 111 = 180
Add: 180 = 180

Here we see that 180 does indeed equal 180.

∴ x = 10 is the solution to the equation.

3 0

3 years ago

Cynthia had a credit card with a 17% APR and a $3,265 balance. She had budgeted to have the credit card paid off in 24 months. B

monitta

Answer:

Cynthia will have to pay $152.16 extra in finance charges.

Step-by-step explanation:

Cynthia had a credit card with a 17% APR and a $3,265 balance.

Cynthia’s credit card company has increased her interest rate to 21%.

Here we have two scenarios, 1st when p = 3265 r = 17% and n = 24

Second when p = p = 3265 r = 21% and n = 24

Scenario 1:

$r =17/12/100=0.014166$

EMI formula is :

$\frac{p\times r\times(1+r)^{n}}{(1+r)^{n}-1}$

Putting the values in formula we get;

$\frac{3265\times0.014166\times(1+0.014166)^{24}}{(1+0.014166)^{24}-1}$

= $\frac{3265\times0.014166\times(1.014166)^{24}}{(1.014166)^{24}-1}$

EMI = $161.43

Scenario 2:

r = $21/12/100=0.0175$

Putting the values in formula we get;

$\frac{3265\times0.0175\times(1+0.0175)^{24}}{(1+0.0175)^{24}-1}$

= $\frac{3265\times0.0175\times(1.0175)^{24}}{(1.0175)^{24}-1}$

EMI = $167.77

Now, difference in EMI's = $167.77-161.43=6.34$ dollars

And for 24 months this amount becomes = $24\times6.34=152.16$ dollars

Therefore, Cynthia will have to pay $152.16 extra in finance charges.

6 0

3 years ago

Chynna has one hour to bake muffins for the PTA bake sale. The muffins take 25 minutes to bake fully. Each pan holds one dozen m

BabaBlast [244]

Total time avalable = 1 hour = 60 minnutes.
Time for preheating the oven = minutes.

Time available for baking is 60 - 10 = 50 minutes.
This allows two sets of muffins to be baked (25 minutes for each bake).

Let p = number of muffins made.
p = (4 pans)*(12 muffns/pan)*(2 sets) =96 muffns

Answer: 96 muffins

3 0

3 years ago