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BaLLatris [955]
2 years ago
7

Here's a graph of a linear function. Write the

Mathematics
1 answer:
madam [21]2 years ago
5 0

The equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

\rm m =\dfrac{y_2-y_1}{x_2-x_1}\\

As we can see in the graph the line goes from (-6, 0) and (0, 3)

Finding the slope:

\rm m =\dfrac{3-0}{0-(-6)}\\

m = 3/6 = 1/2

y = mx + c

y = (1/2)x + c

c is the y-intercept

c = 3

The equation:

y = (1/2)x + 3

Thus, the equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ1

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The answer is:  18 .
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25 - 24/4 -1 = 25 - (24/4) - 1 = 25 - 6 - 1 = 19 - 1 = 18 .


The answer is:  18 .
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5 0
3 years ago
Let n be any natural number greater than 1. Explain why the numbers n! 2, n! 3, n! 4, ..., n! n must all be composite. (This exe
bagirrra123 [75]

Answer:

Because each term of the sequence generates numbers with more than 1 and itself as dividers

Step-by-step explanation:

Just for the sake of correction.

1. Explain\: why\: the\: numbers\: n! +2, n!+ 3, n!+ 4, ..., n! \\n \:must\: all\: be\: composite.

1) Let's consider that

n! =n(n-1)(n-2)(n-3)...

2)And examine some numbers of that sequence above:

n!+2

Every Natural number plugged in n, and added by two will a be an even number not only divisible by two, but in some cases by other numbers for example,n=4, then 4!+2=26 which has four dividers.

3) Similarly, the same happens to

n!+3 and n!+4

Where we can find many dividers.

There's an example of a sequence, let's start with a prime number greater than 1

Let n=11

\left \{ n!+2,n!+3,n!+4,n!+5,n!+6,...n!+n. \right \}\\\left \{ 11!+2,11!+3,11!+4,11!+5,11!+6,11!+7,11!+8,...11!+11 \right \}\\\\

That's a long sequence of consecutive composite numbers, n=11.

\left \{39916802, 39916803,39916804,39916805,39916806,39916807,...,39916811,39916812 \right \}

4 0
3 years ago
a baker has 80 rolls and 64 muffins to put into gift basket. He wants each gift basket to have the same number of rolls and the
White raven [17]
The greatest number of gift basket the baker can make is 8. Since there are 80 rolls and 64 muffins and he wants each gift basket to have the same amount of rolls and muffins and use all the rolls and muffins, there would be 10 rolls and 8 muffins in each gift basket. 
3 0
3 years ago
Read 2 more answers
What is the center of the circle represented by this equation?<br><br> x2 + (y + 9)2 = 25
Pepsi [2]
(0,-9). What makes x zero and what makes y zero
3 0
3 years ago
B) On one rectangular coordinate system, show approximate radian values for one circle, as
sleet_krkn [62]

Answer:

(See explanation below for further details)

Step-by-step explanation:

Any point in rectangular form can be described in terms of radius and angle of the circle. That is:

P = (r\cdot \cos \theta, r\cdot \sin \theta)

Since circunference is divided into 8 equal parts, the point can be modelled as:

P = (r\cdot \cos \frac{2\pi\cdot n}{8}, r \cdot \sin \frac{2\pi\cdot n}{8} )

The approximate radian and degree values for one circle are:

Radians

0 (0), \frac{\pi}{4} (0.785), \frac{\pi}{2} (1.571), \frac{3\pi}{4} (2.355), \pi (3.142), \frac{5\pi}{4} (3.925), \frac{3\pi}{2} (4.71), \frac{7\pi}{4} (5.495), 2\pi (6.280)

Degrees

0^{\circ}, 45^{\circ}, 90^{\circ}, 135^{\circ}, 180^{\circ}, 225^{\circ}, 270^{\circ}, 315^{\circ}, 360^{\circ}

8 0
3 years ago
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