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Murljashka [212]
3 years ago
15

Factorise this expression:

Mathematics
2 answers:
krok68 [10]3 years ago
7 0
3x - x²
x(3) - x(x)
x(3 - x)
Your answer is right.
Vesnalui [34]3 years ago
6 0
Yes you are correct, GCF of both terms is x, so you can factor x out.

3x - x²   ⇒   x(3 - x)
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The equation y=9. 5x 0. 4 represents the line of best fit for the distance (in feet) that Marcella traveled over time (in second
Bas_tet [7]

The average speed of Marcella in feet per seconds is 9.5 feet per second.

<h3>How are time taken for travel, distance traveled, and the average speed are related?</h3>

We have this below shown relation between them

\text{Average speed}  = \dfrac{\text{Distance traveled}}{\text{Total time taken to travel that distance}}\\\\or\\\\\text{Total time taken to travel that distance}= \dfrac{\text{Distance traveled}}{\text{Average speed}  }

For the given case, we have:

The equation y=9.5x  + 0.4 represents the line of best fit for the distance (in feet) that Marcella traveled over time (in seconds)

The line of best fit can be taken as approximately telling about the data points ( y = distance traveled in feet, and x = time spent )

Let the initial time be 'x' with initial distance traveled 'y', then the time after one second will be (x+1), and the distance traveled be y_1

The value of y and y_1 are calculated as:

y = 9.5x + 0.4\\y_1 = 9.5(x+1) + 0.4 = 9.5x + 9.9

Thus, the average speed is calculated at time 'x' as:

\text{Average speed}  = \dfrac{\text{Distance traveled}}{\text{Total time taken to travel that distance}}\\\\or\\\\\text{Average speed}  = \dfrac{y_1 - y}{x + 1 - x} = \dfrac{9.5x  + 9.9 - 9.5x - 0.4}{1} = 9.5 \: \rm feet/sec

We could've also used the fact that in the relation of y to x as y = mx + c, 'm' denotes the rate of y as x changes.

Thus, the average speed of Marcella in feet per seconds is 9.5 feet per second.

Learn more about average rate here:

brainly.com/question/12322912

4 0
2 years ago
6.) the following function represents the profit P(n) in dollars that a concert promoter makes by selling tickets for n dollars
marissa [1.9K]
For Part A, what to do first is to equate the given equation to zero in order to find your x intercepts (zeroes)

0=-250n^2+3,250n-9,000 after factoring out, we get

-250(n-4)(n-9) and these are your zero values.

For Part B, you need to square the function from the general equation Ax^2+Bx+C=0. So to do that, we use the equated form of the equation 0=-250n^2+3,250n-9,000 and in order to have a positive value of 250n^2, we divide both sides by -1

250n^2-3,250n+9,000=0

to simplify, we divide it by 250 to get n^2-13n+36=0 or n^2-13n = -36 (this form is easier in order to complete the square, ax^2+bx=c)

in squaring, we need to apply <span><span><span>(<span>b/2</span>)^2 to both sides where our b is -13 so,
(-13/2)^2 is 169/4

so the equation now becomes n^2-13n+169/4 = 25/4 or to simplify, we apply the concept of a perfect square binomial, so the equation turns out like this 

(n-13/2)^2 = 25/4 then to find the value of n, we apply the square root to both sides to obtain n-13/2 = 5/2 and n is 9. This gives us the confirmation from Part A. 

For Part C, since the function is a binomial so the graph is a parabola. The axis of symmetry would be x=5.

</span></span></span>
7 0
3 years ago
What has to be true for corresponding angles to be congruent ​
faust18 [17]

Answer:

The lines intersected by a transversal must be parallel.

4 0
3 years ago
Y+7x9;x=-1,0,3
DanielleElmas [232]

Answer:

Step-by-step explanation:

NOOOOO

3 0
3 years ago
I need the answer ASAP :( really struggling
pashok25 [27]
<h3>Answer: Choice A  -4 \le x \le -2</h3>

Explanation:

Ask yourself this: "When is the graph completely horizontally flat?" The answer to this question is when x is between -4 and -2. This is where the graph is constant. All other intervals are either increasing or decreasing.

Saying "The graph is constant" basically means "constant rate of change", which is another way of saying that the graph isn't changing. Constant means it stays the same.

So this is why the answer is -4 \le x \le -2

Note how only choice A has both endpoints in the negative region, so it is a quick way to spot the answer.

3 0
3 years ago
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