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3 years ago

Write the function f(x) = |-4x+36| As a piecewise-defines function.

Mathematics

1 answer:

REY [17]3 years ago

6 0

Answer:

Option (A)

Step-by-step explanation:

The given absolute function is,

f(x) = |-4x + 36|

If the given function f(x) ≥ 0,

(-4x + 36) ≥ 0

4x ≤ 36

x ≤ 9

If the given function f(x) < 0,

(-4x + 36) < 0

4x > 36

x > 9

Therefore, piecewise function that defines the absolute function will be,

f(x) = 4x - 36 if x ≤ 9

-4x + 36 if x > 9

Option (A) will be the correct option.

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The circumference of a circle is 15 meters. Determine the diameter. Use 3 for pie.

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Answer:

4.77

if u use 3 for pie its 5

Step-by-step explanation:

formula is d=c/pie

so d=15/pie

d=4.77

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3 years ago

match each pair of points with the approximate distance between them. Round your answers to the nearest tenth.

NARA [144]

I hope it helps you.

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3 years ago

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Part 3: Complete the following metric conversions. Make sure to show all work to receive credit! You may

koban [17]

Answer:

13) 2 g

14) 5,000 mL

15) 104,000 m

16) 160 mm

17) 5,600,000 mg

19) 0.25 km

Step-by-step explanation:

13. Convert 2,000 mg to g:

1 mg = 0.001 g

(2,000 mg * 0.001 g) / 1 mg = 2 g

14. Convert 5 L to mL:

1 L = 1000 mL

(5 L * 1000 mL) / 1 L = 5,000 mL

15. Convert 104 km to m:

1 km = 1000 m

(104 km * 1000 m) / 1 km = 104,000 m

16. Convert 16 cm to mm:

1 cm = 10 mm

(16 cm * 10 mm) / 1 cm = 160 mm

17. Convert 5.6 kg to mg:

1 kg = 1,000,000 mg

(5.6 kg * 1,000,000 mg) / 1 kg = 5,600,000 mg

19) Convert 250 m to km:

1 m = 0.001 km

(250 m * 0.001 km) / 1 m = 0.25 km

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3 years ago

Mr. I.C green wanted to plant a brand new yard. His yard was 17 yards by 8 yards. What was the area of his yard?

Free_Kalibri [48]

Answer:

17 x 8= 136 ft

Step-by-step explanation:

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3 years ago

Assume that in a particular military exercise involving two units, Red and Blue, thereis a 60 % chance that the Red unit will su

Marysya12 [62]

Answer: a) There are 42% chances that both units will meet their objectives.

b) There are 88% chances that one or the other but not both of the units will be successful.

Step-by-step explanation:

Since we have given that

Probability that the Red unit will successfully meet its objectives = 60% = P(R)

Probability that Blue unit will successfully meet its objectives = 70% = P(B)

Probability that only Red unit will be successful = P(only Red) = 18%

As we know that

$P(only\ red)=P(R)-P(R\cap B)\\\\0.18=0.60-P(R\cap B)\\\\0.18-0.60=-P(R\cap B)\\\\-0.42=-P(R\cap B)\\\\P(R\cap B)=42\%$

Hence, there are 42% chances that both units will meet their objectives.

the probability that one or the other but not both of the units will be successful is given by

$P(R\cup B)=P(R)+P(B)-P(R\cap B)\\\\P(R\cup B)=0.60+0.70-0.42\\\\P(R\cup B)=0.88\\\\P(R\cup B)=88\%$

Hence, there are 88% chances that one or the other but not both of the units will be successful.

6 0

3 years ago