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slavikrds [6]
2 years ago
8

PLEASE HELP!!!! f(x)= {____for____ {____for____

Mathematics
1 answer:
hammer [34]2 years ago
8 0

9514 1404 393

Answer:

  f(x)=\left\{\begin{array}{ccc}3&\text{for}&-5\le x < 0\\1-x&\text{for}&0

Step-by-step explanation:

The left section is defined at x = -5, but not at x = 0, so the interval for that definition is -5 ≤ x < 0. The function value on that interval is constant: 3.

The right section is defined a x = 5, but not at x = 0, so the interval for that definition is 0 < x ≤ 5. That section is a straight line with a slope of -1 and a y-intercept of 1. The function value on that interval can be written -x+1.

Then the piecewise definition is ...

  f(x) = {3, for -5 ≤ x < 0; -x+1, for 0 < x ≤ 5}

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a high school track teams long jump record is 21 feet and 2 1/4 inches. this year Tims best long jump is 20 feet and 9 1/2 inche
Alex787 [66]

Answer:

4.75 inches.

Step-by-step explanation:

We must introduce the symbols for inches and feet.

Here we will use, x' = x feet and x" = x inches

A high school track teams long jump record is 21 feet and 2\dfrac{1}{4} inches i.e. 21'2.25" this year.

Now, Tim's best long jump is 20 feet and 9\dfrac{1}{2} inches i.e. 20'9.5".

So, the difference between the record jump and Tim's best jump is

(21'2.25" - 20'9.5")

= (21'2.25" - 21') + (21' - 20'9.5")

= 2.25" + 2.5" {Since, 1' = 12" i.e. 21' = 20' 12"}

= 4.75"

Therefore, Tim has to jump 4.75 inches farther to break the record. (Answer)

3 0
2 years ago
Solve for X and round to the nearest hundredth
Archy [21]

Answer:

Pretty sure it's 20.24.

Step-by-step explanation:

Since you know the side adjacent to the reference angle and you want to find the side opposite, you're going to need to use tangent, which is opp/adj.

tan(39) = \frac{x}{25}

Find the tangent of 39...

0.8097 is the approximate value. So...

0.8097 = \frac{x}{25}

Now, switch the sides to make it easier.

\frac{x}{25} = 0.8097

Multiply both sides by 25.

x = 20.24

3 0
2 years ago
It takes Matt 6 minutes to swim 12 laps in the pool. How many laps could he swim in 9 minutes?
pochemuha

Answer:

18

Step-by-step explanation:

6*2=12

9*2=18

Two laps per minute

4 0
2 years ago
Read 2 more answers
Four hundred people were asked whether gun laws should be more stringent. three hundred said "yes," and 100 said "no." the point
Anna11 [10]
To find relative frequency of no voters; 

p(A)=favourable outcomes/total outcomes 

p(A)=100/400 

= 1/4 or 0.25 

Therefore, the probability a person will respond with a no is 0.25.

Hope I helped :)
8 0
3 years ago
Challenge in a company, 95% of the workers are men. If 270people work for the company who
Alexeev081 [22]

Answer:

5,400

Step-by-step explanation:

5% = 270

270 ÷ 5 = 54

54 × 100 = 5400

6 0
2 years ago
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