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hichkok12 [17]
3 years ago
6

Write an inequality from (–5) to (–1) inclusive

Mathematics
1 answer:
skad [1K]3 years ago
8 0

Answer:

-5\leq x\leq -1

Step-by-step explanation:

This is a compound inequality that basically states that the X value is greater than or equal to -5, but less than or equal to -1. It is inclusive, because it includes both numbers and therefore should have an equal to sign (\leq   or \geq) instead of just less than or greater than ( < or >).

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Give an example of a set of five ordered pairs. Determine the domain and range of the set.
sergey [27]

DOMAIN:

  • Set of allowable inputs (set of 1st elements of the ordered pairs in relation)
  • X point
  • AKA the input

DEFINE INPUT:

A number that'll be used in a function rule to determine the value of the output

RANGE:

  • Set of possible outputs (set of 2nd elements of the ordered pairs in relation)
  • Y point
  • AKA the output

DEFINE OUTPUT:

Result of applying a function rule to the value of ani input

ORDERED PAIRS:

(-1, 7): -1 is the domain & 7 is the range

(3, 5): 3 is the domain & 5 is the range

(4, 9): 4 is the domain & 9 is the range

(-6, -10): -6 is the domain & -10 is the range

(-2, 8): -2 is the domain & 8 is the range


Hope this helps you!!! :)



8 0
2 years ago
The graph of f(x) is shown below. On a coordinate plane, a straight line has a negative slope and goes through (0, 6) and (3, 0)
Rudik [331]

Answer:

The intersection point is (2,2)

Step-by-step explanation:

First let's find the equation of f(x), using the linear model:

f(x) = ax + b

Using the point (0, 6), we have:

6 = a*0 + b\\b = 6

Using the point (3, 0), we have:

0 = a*3 + 6\\3a = -6\\a = -2

So we have that f(x) = -2x + 6

To find f'(x) (the inverse of f(x)), we can substitute f(x) by x and x by f'(x) in the equation of f(x) and then isolate f'(x):

x = -2f'(x) + 6\\2f'(x) = -x + 6\\f'(x) = -x/2 + 3

Now, to find the intersection point, we need to calculate f(x) = f'(x):

-2x + 6 = -x/2 + 3\\3x/2 = 3\\3x = 6\\x = 2

And the y-value is:

y = -2x + 6 = -2*2 + 6 = 2

So the point is (2,2)

4 0
2 years ago
Point A(4,2) is translated according to the rule (x,y)-&gt; (x+1, y-5) and then reflected across the Y-axis.
marishachu [46]
Given:

Point A with coordinates: (4, 2) is in the first quadrant.

The point is translated to the rule (x, y) --> (x+1, y-5)

Now, point A becomes (4+1, 2-5) = (5, -3) which is now in quadrant 4. 

The point is reflected across the y-axis. Now, it is in the third quadrant. 
8 0
2 years ago
Read 2 more answers
4 + 2x - 7 = 12<br><br> ?????
Rainbow [258]

Answer:

15/2

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
A) solve x + x + x = 54 <br>b) solve y/5 = 7<br>c) solve 4t+6=24​
egoroff_w [7]

Answer:

a) x = 18

b) y = 35

c) t = 4.5

Step-by-step explanation:

a) x + x + x = 54

3x = 54

x = 54 ÷ 3

x = 18

b) y/5 = 7

(y/5) × 5 = 7 × 5

y = 35

c) 4t + 6 = 24

4t +6 - 6 = 24 -6

4t = 18

4t ÷ 4 = 18 ÷ 4

t = 4.5

6 0
2 years ago
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