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3 years ago

Re-write the quadratic function below in Standard Form y = 7(x - 1)(x – 6)

Mathematics

1 answer:

Hunter-Best [27]3 years ago

8 0

Answer:

7x^2-49x+42

Step-by-step explanation:

X*x=x^2 X*-6=-6x -1x*x=-1x -1*-6=6

7(x^2-6x-1x+6)

The answer

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40 points for this question! Algebra 2. With all explanation, please!

const2013 [10]

You will need three roots for this, so we have
Let x = -30, -10 and +20
So the factors will be (x+30)(x+10)(x-20)
The divide it to 100, this will help bring the peak up and down
So the polynomial function R(x) will become
1/100 * (x+30)(x+10)(x-20)
R(x) = 1/100 * (x+30)(x+10)(x-20)

Finding the X-intercept:
Let R(x) = 0 and solve for x.
1/100 * (x+30)(x+10)(x-20) = 0
x = -30, -10, 20 are the x-intercepts.

3 0

3 years ago

An indoor running track is 200 meters in length. During a 3,000-meter race, runners must complete 15 laps of the track. An elect

Vlad1618 [11]

The true statement based on the histogram is

There were no lap times between 35 and 36 seconds.

The correct option is (A).

<h3>What is Histogram?</h3>

A histogram is a graphical representation that organizes a group of data points into user-specified ranges.

Given:

indoor running track is 200 meters in length.

Also, a 3,000-meter race, runners must complete 15 laps of the track.

As, there no data for interval 35-36.

So, there were no lap times between 35 and 36 seconds.

Hence, The interval from 37 to 38 seconds saw the most lap times.

Learn more about histogram here:

brainly.com/question/16819077

#SPJ1

8 0

2 years ago

Every 1/2 hour Naomi s stretches her neck every 1/3 at work she stretches her legs and everyone 6 hour she stretches her arms wh

AlexFokin [52]

Naomi will stretche her neck2/3 of an hour

4 0

2 years ago

A spinner for a board game consists of a cardboard circle with two plastic arrows anchored to its center. The arrows are congrue

tekilochka [14]

Answer:

Option (c) is correct.

The approximate total area of the plastic triangles on the spinner is 2 × 3.9 square centimeters = 7.7 square centimeters

Step-by-step explanation:

Given:A spinner for a board game consists of a cardboard circle with two plastic arrows anchored to its center. The arrows are congruent isosceles triangles connected at their bases.

also, Given: The base of each triangle measures 2 centimeters and the perimeter of each triangle is 10 centimeters.

We have to find the approximate total area of the plastic triangles on the spinner.

Perimeter of triangle is the sum of sides.

Since given the triangle to be isosceles .

Let the two equal side be x cm, then,

Perimeter of given triangle = 1 0

⇒ x + x + 2 = 1 0

⇒ 2x = 8

⇒ x = 4

Thus, side of triangle is 4 cm.

Now we find the area of isosceles triangle.

We first find the height, using Pythagoras theorem,

$(AC)^2=(AD)^2+(DC)^2$

Putting values, we get,

$(4)^2=(AD)^2+(1)^2$

Solving we get,

$AD=3.87$

Thus, area of one isosceles triangle $A=\frac{1}{2} bh$

area of one isosceles triangle $A=\frac{1}{2} \times 2 \times 3.87$

On solving we get,

Approximate area of one plastic triangles on the spinner is 3.9 square centimeters.

Thus, the approximate total area of the plastic triangles on the spinner is 2 × 3.9 square centimeters = 7.7 square centimeters

Option (c) is correct.

7 0

3 years ago

Read 2 more answers

Hello, how was your day, help? ^ ^<br> solve for x

Natali5045456 [20]

Hi there!

»»————-　★　————-««

I believe your answer is:

$\boxed{x=100}$

»»————-　★　————-««

Here’s why:

Recall the Triangle Angle Sum Theorem: The three angles of all triangles add up to a sum of 180°.
We will set up an equation based on this and then solve.

⸻⸻⸻⸻

$\boxed{\text{Solve for 'x':}}\\\\58 + 22 + x = 180\\-----------\\\rightarrow 80 + x = 180\\\\\rightarrow 80 - 80 + x = 180 - 80\\\\\rightarrow \boxed{x=100}$

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

6 0

2 years ago