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Irina18 [472]
3 years ago
15

Express the inequality using interval notation.−4≤x≤0

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
4 0

Answer:

[-4,0]

Step-by-step explanation:

we use closed bracket to show " it includes" and -4 and 0 are included in the solution set

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Where does the function f have a zero? (more than one can apply)
alekssr [168]
Answers: 
Choice A(-2,-1)
Choice B(-1,0)
Choice E(2,3)

--------------------------------

Explanation:

The idea is to look for sign changes in f(x). Recall that y = f(x). If the sign of y changes, then y = 0 must be somewhere in the interval if we are to have a continuous function.

The sign changes happen when we go from...
y = -9 to y = +8 (row 2 to row 3)
y = +8 to y = -5 (row 3 to row 4)
y = -1 to y = +196 (bottom two rows)

Those three sign changes correspond to the following interval notations for x
(-2,-1)
(0,1)
(2,3)
in that exact order

Meaning for instance, that a root must be somewhere in the interval -2 < x < -1 since we have a sign change when we transition from f(-2) to f(-1)

So that's why the answers are choices A, B, & E

Something like the interval notation (1,2) will not work because y = -18 does not change sign to y = -1, which is why D is not an answer. Choice C is similar. 

3 0
3 years ago
18.) Which of the following is 6x²/27x simplified?
Dima020 [189]

Answer:

2x^2/9x

Step-by-step explanation:

it Just is

2x^2 / 9x

6 0
2 years ago
Mr.Rice needs To replace the 166.25 feet of edging on the flower bed in his backyard. The edging is sold in lengths of 19 feet.
Juli2301 [7.4K]
He would need 9 lenghts because 166.25 divided by 19 is 8.75. 
8 0
3 years ago
Rosalie’s employer pays 75% of her health insurance premium and deducts the remainder from her paycheck. Rosalie is paid biweekl
MariettaO [177]

D is the right answer
7 0
3 years ago
Read 2 more answers
Bill hikes 8 miles in 3 hours. At this rate. how many miles will he hike after 2 hours?
exis [7]

Answer:

5 1/3 miles

Step-by-step explanation:

We can use a ratio to solve

8 miles      x miles

------------ = --------

3 hours         2 hours

Using cross products

8*2 = 3x

16 = 3x

Divide by 3

16/3 = 3x/3

5 1/3 miles =x

6 0
3 years ago
Read 2 more answers
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