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goldfiish [28.3K]
3 years ago
13

Determine the equation of the line passing through the points (4,1) (9, -1)

Mathematics
1 answer:
kvv77 [185]3 years ago
5 0
This is my work I hope it helps the equation is
y=-2/5x+13/5

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The table shows a proportional relationship between the number of stars Roberto collects in a game and his total points. A row o
maks197457 [2]

Answer:

1) 20 stars; 30 points.

2) 28 stars, 42 points.

3) 38 stars, 57 points.

Step-by-step explanation:

<h3> The missing table is attached.</h3>

Let  be "x" the numbers of stars Roberto collects and "y" his total points.

The proportional relationship has this form:

y=kx

Where "k" is the constant of proportionality.

We can choose the point (8,12) from the table, where:

x=8\\y=12

Substituting these values into  y=kx and solving for "k", we get:

 12=k(8)\\\\\frac{12}{8}=k\\\\k=1.5

Knowing the value of "k", we determine that the  following Numbers of stars and the Total points could be used as the missing values in the table:

1) For x=20 :

y=(1.5)(20)=30

2) For x=28 :

y=(1.5)(28)=42

3) For x=38 :

y=(1.5)(38)=57

4 0
3 years ago
Read 2 more answers
The sum of 2 integers is 9. the product of the integers is 14 what are the integers
chubhunter [2.5K]

Answer:

7 and 2

Step-by-step explanation:

7 plus 2 is 9. 7 times 2 is 14.

3 0
2 years ago
write the condition to be satisfied by q so that a rational number p/q has a terminating decimal expansion​
hjlf
For a rational number to have a terminating decimal expansion
q should be in the form 5^m and 2^n or both. If q is not in the form of either then it is a non terminating recurring decimal expansion
6 0
3 years ago
Draw a diagram of the archway modeled by the equation y = -x2 + 5x + 24. Find and label the y-intercept and the
Delvig [45]

Answer:

Width of the archway at its base: 11 units, height of the archway at its highest point: 30.25 units.

Step-by-step explanation:

The graph that represents the equation y = -x^{2} + 5\cdot x + 24 is now sketched with the help of a graphing tool and whose representation is included in a file attached below. The point associated with x-intercepts are (-3, 0) and (8, 0) and the point associated with the highest point is (2.5, 30.25). The width of the archway at its base (\Delta x) and the height of the archway at its highest point (\Delta y) are, respectively:

\Delta x = 8 - (-3)

\Delta x = 11

\Delta y = 30.25

Width of the archway at its base: 11 units, height of the archway at its highest point: 30.25 units.

7 0
3 years ago
Julie needs at least $123 to buy a pair of shoes. She has saved $56 and earns $8 weekly for completing
Nataliya [291]

Answer:

It will take 9 weeks

Step-by-step explanation:

56 + 8x \geq 123

8x  \geq 67

x  \geq 8.375

6 0
2 years ago
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