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mart [117]
3 years ago
12

How would you write the following in interval notation:

Mathematics
1 answer:
Doss [256]3 years ago
7 0

Answer: x = (1,9]

Step-by-step explanation: If x is all real numbers greater than 1 (simply: x is greater but not equal to 1) then it is 1 < x. And if x is less than or equal to 9 then its x ≤ 9. To translate 1 < x ≤ 9 into interval notation, you need to keep in mind that parentheses are for these symbols: <>. And brackets are for these symbols: ≤≥. With that in mind, your answer is (1,9]. Also, keep in mind that interval notation goes from lowest value number to highest, so you wouldn’t write this notation as [9,1).

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Tell whether the data in the table can be modeled by a linear equation. Explain.
anastassius [24]

Answer:

y = -3x + 7

Step-by-step explanation:

Choosing two points from the given table:

Let (x1, y1) = (-3, 16)

(x2, y2) = (-1, 10)

Plug these given values into the slope formula:

m = (y2 - y1)/(x2 - x1)

   = (10 - 16) / (-1 - (-3))

   = -6 / (-1 + 3)

   = -6/2

   = -3

Therefore, the slope is -3.

Next, choose one of the points and plug into the <u>point-slope form</u>:

Let's use (-1, 10) as (x1, y1):

y - y1 = m(x - x1)

y - 10 = -3(x - (-1))

y - 10 = -3(x + 1)

y - 10 = -3x - 3

Add 10 on both sides to isolate y:

y - 10 + 10 = -3x - 3 + 10

y = -3x + 7

8 0
2 years ago
Write an equation perpendicular to y=3/4x-1 that passes through the point (3,-3)
RSB [31]
Y=.75x-1 im might be wrong i think im wrong but im not sure 
3 0
2 years ago
suppose the two vertical angles are measuring 6x + 15 and 4x + 32. what is the measure of each angle?
svet-max [94.6K]

Answer:

measure of both angle is 66

Step-by-step explanation:

vertical angles are equal so,

6x+15=4x+32

6x-4x=32-15

2x= 17

X=8.5

now,

4X+32

= 4×8.5 +32

= 66

7 0
2 years ago
According to Ohm's law, the electric current I, in
atroni [7]

Answer:

4 ampers

Step-by-step explanation:

WHEN 12 VOLTS ARE APPLIED, THE CURRENT IS 4 AMPERES.

3 0
2 years ago
The table represent a liner function What is the slope of the function-6 -4 4 6
Naddika [18.5K]
Take any 2 points the answer will be the same.

For point 2 and 3 : (-4)-(2)/(0)-(-1) = -6

the answer is -6
3 0
2 years ago
Read 2 more answers
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