Ask question

Ask question

All categories

3 years ago

5

Evaluate the function f(x)=x^2-5x+ 5 at the given values of the independent variable and simplify

1 answer:

11111nata11111 [884]3 years ago

8 0

Step-by-step explanation:

The given function is :

$f(x)=x^2-5x+ 5$

(a) To find f(9), put x = 9 in the above expression.

$f(9)=9^2-5(9)+ 5=41$

(b) To find f(x+7), put x = x+7 in the above expression.

$f(x+7)=(x+7)^2-5(x+7)+ 5\\\\=x^2+14x+49-5x-35+5\\\\=x^2+9x+19$

(c) To find f(-x), put x = -x in the above expression.

$f(-x)=(-x)^2-5(-x)+ 5\\\\=x^2+5x+5$

Hence, this is the required solution.

You might be interested in

Please find X when x÷20=5

tia_tia [17]

X=100 because 20 X 5 is 100

6 0

4 years ago

Read 2 more answers

Angle FEDwith angleF=90degree, ED=36, and FE=22, calcularé the measures of the unknown angles and the unknown side length of the

Flauer [41]

Answer:

$\angle D=37.7^{\circ}$

$\angle E=52.3^{\circ}$

$FD\approx 28.5$

Step-by-step explanation:

Please find the attachment.

We have been given that angle FED with angle F=90 degree, ED=36, and FE=22. We are asked to find the unknown angles and the unknown side length of the triangle.

We will use sine to solve for angle D as:

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

$\text{sin}(D)=\frac{22}{36}$

$D=\text{sin}^{-1}(\frac{22}{36})$

$D=37.66988696^{\circ}$

$D\approx 37.7^{\circ}$

Therefore, measure of angle D is 37.7 degrees.

Now, we will find measure of angle E using angle sum property.

$m\angle E+m\angle F+m\angle D=180^{\circ}$

$m\angle E+90^{\circ}+37.7^{\circ}=180^{\circ}$

$m\angle E+127.7^{\circ}=180^{\circ}$

$m\angle E+127.7^{\circ}-127.7^{\circ}=180^{\circ}-127.7^{\circ}$

$m\angle E=52.3^{\circ}$

Therefore, measure of angle E is 52.3 degrees.

We will use Pythagoras theorem to solve for side FD as:

$FD^2+EF^2=ED^2$

$FD^2+22^2=36^2$

$FD^2+484=1296$

$FD^2=1296-484$

$FD^2=812$

$FD=\sqrt{812}$

$FD=28.495613697\\\\FD\approx 28.5$

Therefore, length of side FD is approximately 28.5 units.

6 0

3 years ago

Heyy. can anyone help me ! please and thank you

RUDIKE [14]

Answer:

576 feet

Step-by-step explanation:

I'm going directly off the graph but it looks like the y-coordinate of the vertex is 576, which would make 576 feet the maximum height. Hope that helps :)

4 0

3 years ago

Can someone help answer this

kolezko [41]

Answer:

v = 55

Step-by-step explanation:

Plug in the values provided into the equation

v = u + at

v = 23 + 8 * 4

Solve

v = 23 + 8 * 4

v = 23 + 32

<u>v = 55</u>

6 0

3 years ago

Read 2 more answers

Isabella ran a lemonade stall at a school festival. She made a $10 profit in the first hour, a $ 25 loss in the second hour, and

Anni [7]

Answer:

$8 loss

Step-by-step explanation:

$10 profits, $7 profits, $25 loss

$10+$7=$17 profits

$25 loss - $17 profits = $8 loss

4 0

3 years ago