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Naddika [18.5K]
3 years ago
5

Suzie drew the line of best fit on the scatter plot shown.

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
6 0
Hey there!

Slope intercept form is defined as:

y = mx +b

In this form for lines, m is the slope, and b is the y intercept. Hence, slope intercept. That means that in order to write it in this form, we need to know both the slope and y intercept. We'll start with the former.

Slope is defined as ride over run, or up over right (you know it's negative when it goes left). In order to calculate this, we can take two points that lie directly on a coordinate and put them into a fraction as rise/run.

We have;

(0,3) and (5,9)

As we can see, the difference between the two points is that (5,9) is 5 more to the right, and is 6 higher.  We get 6/5. We can even see that in the coordinates, because they're written as (x, y). Additionally, you can use the slope given two points formula:

y2-y1/x2-x1 =

9-3/5-0 = 6/5

Notice how we get the same thing, because in both methods you're finding the difference between the two coordinates based off of rise/run. That's why it's y2 minus y1.


Now that we have our slope, we need the y intercept. The y intercept is simply where the line crosses the y axis. As we can see, it crosses at (0,3) - so the intercept is 3. Now we can create our equation

Slope = 6/5
Y intercept = 3

y = mx + b  --> y = 6/5x + 3

Your answer is A, the first option.

Hope this helps!

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Multiple the following:(x2+4x-3)(x2-6x+7)
Katena32 [7]

Answer:

=x^4−2x^3−20x^2+46x−21

if you can give me brainliest that would be great :)

5 0
3 years ago
Mark and Julio are selling flower bulbs for a school fundraiser. Customers can buy bags of windflower bulbs and packages of croc
ikadub [295]

Answer:

Bag of windflower bulbs costs $8.50

Package of crocus bulbs costs $17.60

Step-by-step explanation:

Let $x be the price of one bag of windflower bulbs and $y be the price of one  package of crocus bulbs.

1. Mark sold 2 bags of windflower bulbs for $2x and 5 packages of crocus bulbs for $5y. In total he earned $(2x+5y) that is $105. So,

2x+5y=105

2. Julio sold 9 bags of windflower bulbs for $9x and 5 packages of crocus bulbs for $5y. In total he earned $(9x+5y) that is $164.50. So,

9x+5y=164.50

3. You get the system of two equations:

\left\{\begin{array}{l}2x+5y=105\\ \\9x+5y=164.50\end{array}\right.

From the first equation

5y=105-2x

Substitute it into the second equation:

9x+105-2x=164.50

7x=164.50-105

7x=59.5

x=$8.50

So,

5y=105-2·8.5

5y=105-17

5y=88

y=$17.60

5 0
3 years ago
Can someone please help me with this, im doing a test and im stuck on this question.
Mashutka [201]

Answer:

20

Step-by-step explanation:

first do 75/50 = 1.5

then multiply red by 1.5

13 landed on red so

13 x 1.5 = 19.5

but since you round up it is 20

6 0
3 years ago
Hey can you please help me posted picture of question
SpyIntel [72]
We are to find the Probability the someone buys a book that is paperback and fiction.

Let P(F) represents the event that the book is fiction and P(P) represents the event that the book is paperback. We are to find P(F∩P)

P(F∩P) = P(F) x P(P)

From the tree diagram we can see that:

P(F) = 0.45
P(P) = 0.65

Using the values, we get:

P(F∩P) = 0.45 x 0.65 = 0.2925

So, the Probability the someone buys a book that is paperback and fiction is 0.2925.

So, option B gives the correct answer
3 0
3 years ago
Please help need it due now!!!
ahrayia [7]

Answer:

1) 0.9, 0.99, 0.09, 0.0009

2) 4(2x²+9x)

3) 110

4) $9.50 per pizza

5) 23

4 0
2 years ago
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