All categories

2 years ago

Write a quadratic equation in STANDARD FORM given the roots: 1, 1/2

Mathematics

1 answer:

Zigmanuir [339]2 years ago

5 0

Answer:

f(x) = 2x^2 - 3x + 1

Step-by-step explanation:

The root 1 is associated with the factor (x - 1).

The root 1/2 is associated with the factor (x - 1/2), which in turn is equivalent to (2x -1)

The quadratic in question is f(x) = (x - 1)(2x - 1). To write this in standard form, perform the indicated multiplication:

f(x) = 2x^2 - 2x - x + 1, or f(x) = 2x^2 - 3x + 1

You might be interested in

An aquarium 2 m long, 1 m wide, and 1 m deep is full of water. Find the work (in J) needed to pump half of the water out of the

Nitella [24]

Answer:

$W=2452.5 J$

Step-by-step explanation:

The work is define as the integral of the force times distance. So we have:

$W=\int^{a}_{b}Fxdx$

Now, we can write the force in terms of density.

$F=m*g=\rho Vg$

V is the volume (V=2*1*1=2 m³)

So the work will be:

$W=\int^{0.5}_{0} 2*1000*9.81*xdx=\int^{0.5}_{0} 2*1000*9.81*xdx=\int^{0.5}_{0}19620xdx=19620(\frac{x^{2}}{2})|^{0.5}_{0}$

The limit of integration is between 0 and 0.5 because we want to pump half of the water out of the aquarium.

$W=19620(\frac{x^{2}}{2})|^{0.5}_{0}=19620(\frac{0.5^{2}}{2})$

$W=2452.5 J$

I hope it helps you!

8 0

2 years ago

What is the length of BC in the right triangle below?

Neko [114]

Answer and Step-by-step explanation:

How to solve:

Use the Pythagorean Theorem to find the length of side BC.

Pythagorean Theorem Formula:

$A^2+B^2=C^2$

Side AB will be A, side AC will be B, and side BC will be C.

Plug in values.

$8^2+15^2 = C^2\\\\\\64 + 225 = C^2\\\\289 = C^2\\Square.root.both.sides.\\\\\sqrt{289} = C\\17 = C\\\\\\$

This means the answer is A. 17.

I hope this helps!

#teamtrees #PAW (Plant And Water)

5 0

3 years ago

Josie found a small bird bath at a garage sale. The bird bath has a circular opening with a radius of 10 cm, as shown in the dia

sveticcg [70]

Answer: 1256cm

Step-by-step explanation:

8 0

3 years ago

PLZ HURRY WILL MARK BRAINLIEST The stem and leaf plot shows the number of points a basketball team scored each game during its 1

oee [108]

Answer:

5 games

Step-by-step explanation:

To find how many games the team scored at least 70 points, we need to look at the 7 on the stem side. The 7 means 70, and we add the digits on the leaf side. For example, 7 | 2 is 72. The numbers on the leaf side are: 1, 1, 2, and 3.

There are no points for the 8 on the stem side, but on 90, there is one digit on the leaf side: 1. So, the points they scored over 70 are 71, 71, 72, 73, and 91, which equals to five games.

7 0

3 years ago

Read 2 more answers

4. Why does Miss Maudie only have two small cakes instead of three

Rudiy27

Answer:

Step-by-step explanation:

She only has two cakes because that's all she bought.

8 0

3 years ago