Find the sum: x+1/x-1

Write the equation, in standard form of the quadratic relation

ivann1987 [24]

Answer:

$f(x)=x^2-11x+30$

Step-by-step explanation:

The factored form of a quadratic is given by:

$f(x)=a(x-p)(x-q)$

Where p and q are the zeros, and a is the leading coefficient.

The quadratic relation has zeros of 5 and 6, and it has a y-intercept of 30.

Since the zeros are 5 and 6, p and q are 5 and 6. Thus:

$f(x)=a(x-5)(x-6)$

The y-intercept is 30. In other words, when x = 0, f(x) = 30:

$30=a(0-5)(0-6)$

Solve for a:

$30=a(-5)(-6)\Rightarrow 30=30a\Rightarrow a=1$

Therefore, our quadratic in factored form is:

$f(x)=(x-5)(x-6)$

To find the standard form, expand:

$\begin{aligned} f(x)&=(x-5)(x-6)\\&= (x-5)x+(x-5)(-6)\\&=(x^2-5x)+(-6x+30)\\&=x^2-11x+30\end{aligned}$

8 0

3 years ago

Janie ordered boxed lunches for a student advisory committee meeting. Each lunch costs $4.25. The total cost of the lunches is $

Oksanka [162]

Answer:

Part A: c. 4.25x+7=53.75

Part B: 11

Step-by-step explanation:

4.25x+7=53.75

4.25x=46.75

x=11

8 0

4 years ago

Cost to store: $65 Markup:25% Selling price:?

Gekata [30.6K]

100% + 25% is 120% then 120 as a decimal 1.20 then you do 1.20 x 65 = 78
soo the selling price is $78

4 0

3 years ago

CAN ANYONE PLEASE HELP ME WITH ASAP

olganol [36]

Answer:

2. D $\frac{1}{2}$ inch per hour

3. C $\frac{4}{5}$ km

Eli chose A because he multiply 5 $\frac{3}{5}$ km and 7 days; instead of dividing.

$\frac{28}{5}$ * 7= $\frac{196}{5}$ which is 39 $\frac{1}{5}$

Step-by-step explanation:

2. Divide the inches of rain by hours

12 $\frac{1}{4}$ inches of rain ÷ 25 $\frac{1}{2}$ hours; convert to proper fraction

$\frac{49}{4}$ ÷ $\frac{51}{2}$

$\frac{49}{4}$ * $\frac{2}{51}$ = $\frac{98}{204}$ = $\frac{49}{102}$ which is approximately $\frac{1}{2}$ inch per hour

3. Divide km by days

5 $\frac{3}{5}$ km / 7 days = $\frac{28}{5}$ ÷ 7 = $\frac{28}{5}$ * $\frac{1}{7}$ = $\frac{4}{5}$ km

Eli chose A because he multiply 5 $\frac{3}{5}$ km and 7 days; instead of dividing.

$\frac{28}{5}$ * 7= $\frac{196}{5}$ which is 39 $\frac{1}{5}$

3 0

3 years ago

Read 2 more answers

Please help me. Noura is redecorating her house. She needs to work out the area of the wall around her triangular window in orde

Vinvika [58]

Answer:

a. 277.3 m²

b. $307.86

Step-by-step explanation:

a. Area of the wall to be painted = area of rectangle - area of triangle

= L × W + ½×a×b×sin θ

L = 17 m

W = 14 m

a = 8.7 m

b = 9.5 m

θ = 72°

Plug in the values into the equation

Area of the wall = (17×14) + (½*8.7×9.5×sin 72)

Area of the wall = 238 + 39.3024105

Area of the wall to paint ≈ 277.3 m²

b. 20 liters of paint of 1 container cost $21.99

If 1 liter of paint covers 1m², therefore,

277.3 m² will need = 277.3 × 1 = 277.3 liters of paint.

20 liters = 1 container of paint

277.3 liters = 277.3/20 = 13.865 ≈ 14 containers

1 container = $21.99

14 containers = 21.99 × 14 = $307.86

8 0

3 years ago

Find the sum: x+1/x-1 - x-8/x-1