All categories

3 years ago

Write the quadratic equation in standard form.

Mathematics

2 answers:

lubasha [3.4K]3 years ago

8 0

Answer:

Therefore, c) x²- 6x. +9 .

Step-by-step explanation:

Given: (x - 3) ² = 0

To find: Write the quadratic equation in standard form.

Solution: We have given that (x - 3) ² = 0

By the (a- b) ²=a²+ b²- 2ab

Here a= x and b= 3

(x- 3) ²= x²+ 3²- 2* x * 3

(x- 3) ²= x²+9 - 6x.

Therefore, c) x²- 6x. +9 .

uysha [10]3 years ago

7 0

(x-3)² = (x-3)(x-3) = x² -3x -3x +9 or x² ,- 6x + 9. answer C

You might be interested in

The product of 3 consecutive odd numbers is 2,145. Enter a simplified expression for finding the numbers. Let n be the first odd

Arlecino [84]

Answer:

11, 13 and 15.

Step-by-step explanation:

Let's say that the odd number is "x". If x is for example 15, then the next ODD number would be 15+2=17 and the one after that would be 15+2+2=15+4=19.

Applying that here, we get:

Odd number* the next odd number*the next odd number=2145

x*(x+2)*(x+4)=2145

x*(x^2+4x+2x+8)=2145

x^3+6x^2+8x=2145

By solving the polynomial, you get x=11.

Which makes our three numbers: 11, 13 and 15.

11*13*15=2145. The answer checks.

6 0

3 years ago

Determine the value of the variable in the simplified expressions. What is the value of X? Gx+h^-3=1/g^6+1/h^3. X=_____. What is

swat32

Answer:

x=-6

y=4

Step-by-step explanation:

i just took the quiz

hope i could help

5 0

3 years ago

Read 2 more answers

Translate the difference of five squared and n into symbols.

stira [4]

Answer:

5² - n

Step-by-step explanation:

Five squared = 5²

n = n Subtract n from 5²

Diff. = 5² - n

We indicate "taking the difference" by a "minus" sign, so all the other options are <em>wrong. </em>

6 0

3 years ago

Read 2 more answers

The plot below shows the graphs of three functions, f, g, and h, all of which determine the population of three different cities

monitta

So, here we have an exponential function.

Remember that an exponential function has the form:

$y=a(b)^x=a(1\pm\frac{r}{100})^x$

Where a represents an initial amount, and r is the rate of this amount to change. (Increase, or decrease).

So, given that the population of City A in 2000 was 40 thousand people and the population increased by 13% each year, we can say that

$\begin{gathered} a=40 \\ b=1+\frac{13}{100}=1.13 \end{gathered}$

So,

$f(x)=40(1.13)^x$

For city B:

$\begin{gathered} a=40 \\ b=1+\frac{16}{100}=1.16 \\ g(x)=40(1.16)^x \end{gathered}$

But something different happens with city C. This is not an exponential function, this is a linear function.

So,

$h(x)=40+10x$

7 0

1 year ago

Total profit P is defined as total revenue R minus total cost C, and is given by the function P(x)=R(x)−C(x). Find the total pr

satela [25.4K]

Given:

The revenue function is

$R(x)=126.98x-0.5x^2$

The cost function is

$C(x)=3809.40+0.7x^2$

To find:

The profit function.

Solution:

We know that, the total profit P is defined as total revenue R minus total cost C.

So, the profit function is

$P(x)=R(x)-C(x)$

$P(x)=126.98x-0.5x^2-(3809.40+0.7x^2)$

$P(x)=126.98x-0.5x^2-3809.40-0.7x^2$

$P(x)=-3682.42-1.2x^2$

Therefore, the profit function is $P(x)=-3682.42-1.2x^2$ .

5 0

3 years ago