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iogann1982 [59]
2 years ago
6

if f(x)= 2x^2+5sqrt(x-2), complete the following statement: The domain for f(x) is all real numbers _____ than or equal to 2. (f

ill in the blank)

Mathematics
1 answer:
SCORPION-xisa [38]2 years ago
7 0

Answer:

Greater.

Step-by-step explanation:

The in the function  f(x)=2x^2+5\sqrt{x-2}, the square root term \sqrt{x-2} has to give a real number if f(x) is to be real. This can only happen if x\geq 2 because if x then \sqrt{x-2} will give a complex number and therefore f(x) will not be real.

Thus, the domain for f(x) is all real numbers<em><u> greater</u></em><u> </u>than or equal to 2.

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NEED HELP ASAP!!
juin [17]

The answer is C.

Note when Soro divides both sides by -2.5 to solve the equation. When multiplying/dividing by a negative number, one should always reverse the inequality sign, but Soro forgot to do this.

-2.5x≥-30

After this step, the answer SHOULD HAVE been:

x≤12

Let me know if you need any clarifications, thanks!

8 0
1 year ago
Read 2 more answers
Emily is thinking of a number, which she calls n. She finds 1/4 of the number and then subtracts 3. Write an expression to repre
Ludmilka [50]

Answer:

1/4n-3

Step-by-step explanation:

3 0
1 year ago
What is the greatest common factor of x2y and xy2 ?
Bond [772]
GCF of :2xy and 2xy
   

2(x+y)

5 0
2 years ago
A boat sails on a bearing of 038°anf then 5km on a bearing of 067°.
I am Lyosha [343]

This question is not complete

Complete Question

A boat sails 4km on a bearing of 038 degree and then 5km on a bearing of 067 degree.(a)how far is the boat from its starting point.(b) calculate the bearing of the boat from its starting point

Answer:

a)8.717km

b) 54.146°

Step-by-step explanation:

(a)how far is the boat from its starting point.

We solve this question using resultant vectors

= (Rcos θ, Rsinθ + Rcos θ, Rsinθ)

Where

Rcos θ = x

Rsinθ = y

= (4cos38,4sin38) + (5cos67,5sin67)

= (3.152, 2.4626) + (1.9536, 4.6025)

= (5.1056, 7.065)

x = 5.1056

y = 7.065

Distance = √x² + y²

= √(5.1056²+ 7.065²)

= √75.98137636

= √8.7167296826

Approximately = 8.717 km

Therefore, the boat is 8.717km its starting point.

(b)calculate the bearing of the boat from its starting point.

The bearing of the boat is calculated using

tan θ = y/x

tan θ = 7.065/5.1056

θ = arc tan (7.065/5.1056)

= 54.145828196°

θ ≈ 54.146°

7 0
1 year ago
Mr. Edwards is replacing an existing fence on his farm that is 6 feet high. Reliable Fence Company charges $8,000 for building m
Phoenix [80]

Answer:

ABC Fence Company charges $35 more per foot of fencing.

Step-by-step explanation:

ABC charges $35 more per foot of fencing.; The slope of each function represents the rate per foot of fencing.

Reliable Fence Company: y = $225x + $8,000 → $225 per foot of fencing. ABC Fence Company:  

$29,200 − $24,000

20

= $260 per foot of fencing

$260 − $225 = $35; therefore, ABC charges $35 more per foot of fencing.

3 0
1 year ago
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