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nata0808 [166]
3 years ago
10

If f(x) = 2(x)^2 + 5 square root (x+2), complete the following statement (round your answer to the nearest hundredth): f(2) =

Mathematics
1 answer:
mojhsa [17]3 years ago
3 0

f(x) = 2(x)^{2} +5 \sqrt{x+2}

f(2) = 2(2)^{2} + 5 \sqrt{(2)+2}

f(2) = 2(4) + 5\sqrt{4}

f(2) = 8 + 5(2)

f(2)= 8+10

f(2) = 18

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If K is the midpoint of HJ, HK = x+6, and HJ =4x-6, then KJ = ?
barxatty [35]
4x-6= x+6
4x= x + 12
5x= 12
X= 12/5
X= 2.5
6 0
2 years ago
17. x^2 + 2x + 1
valentina_108 [34]

Answer:

E. This polynomial could be factored by using grouping or the perfect squares methods.

Step-by-step explanation:

x^2 + 2x + 1

There is no greatest common factor

This is a perfect square

a^2 + 2ab+ b^2 = ( x+1)^2

We can factor this  by grouping

x^2 + 2x + 1

(x^2 +x) + (x+1)

x( x+1)  + x+1

Factor out x+1

( x+1)  ( x+1)

This is not the difference of squares since there is no subtraction

5 0
3 years ago
According to a study, an average of six cell phone thefts is reported in San Francisco per day. Assume that the number of report
lions [1.4K]

Answer:0.29

Step-by-step explanation:

An average of six cell phone thefts is reported in San Francisco per day. This means our mean value, u = 6

For poisson distribution,

P(x=r) = (e^-u×u^r)/r!

probability that four cell phones will be reported stolen tomorrow=

P(x=4)= (e^-6×6^4)/4!

= (0.00248×1296)/4×3×2×1

= 3.21408/24=

0.13392

P(x=5)= (e^-6×6^5)/5!

= (0.00248×7776)/5×4×3×2×1

= 19.28448/120

= 0.1607

probability that four or five cell phones will be reported stolen tomorrow

= P(x=4) + P(x=5)

= 0.13392 + 0.1607

= 0.294624

Approximately 0.29

8 0
2 years ago
11) Solve the following equations, using the lines to show each step.<br><br> 4x + 5 = 2x + 7
asambeis [7]

Answer:

4x + 5 = 2x + 7

4x + 5 - 2x = 2x - 2x +7

2x + 5 = 7

2x + 5 - 5 = 7 - 5

2x = 2

2x÷2 = 2÷2

x = 1

Please Mark Brainliest

6 0
2 years ago
Read 2 more answers
Solving systems of Equations Word Problems - CLASSWORK
dem82 [27]

Answer:

Part A) For the number of hours less than 5 hours it make more sense to rent a scooter from Rosie's

Part B) For the number of hours greater than 5 hours it make more sense to rent a scooter from Sam's

Part C) Yes, for the number of hours equal to 5 the cost of Sam'scooters is equal to the cost of Rosie's scooters

Part D) The cost is $90

Step-by-step explanation:

Let

x-------> the number of hours (independent variable)

y-----> the total cost of rent scooters (dependent variable)

we know that

Sam's scooters

y=8x+30    

Rosie's scooters

y=10x+20

using a graphing tool

see the attached figure

A. when does it make more sense to rent a scooter from Rosie's? How do you know?

For the number of hours less than 5 hours it make more sense to rent a scooter from Rosie's  (see the attached figure) because the cost in less than Sam' scooters

B. when does it make more sense to rent a scooter from Sam's? How do you know?

For the number of hours greater than 5 hours it make more sense to rent a scooter from Sam's  (see the attached figure) because the cost in less than Rosie' scooters

C. Is there ever a time where it wouldn't matter which store to choose?

Yes, for the number of hours equal to 5 the cost of Sam'scooters is equal to the cost of Rosie's scooters. The cost is $70 (see the graph)

D. If you were renting a scooter from Rosie's, how much would you pay if you were planning on renting for 7 hours?

Rosie's scooters

y=10x+20

For x=7 hours

substitute

y=10(7)+20=90

The cost is $90

4 0
3 years ago
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