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Nutka1998 [239]
3 years ago
9

The domain for f(x) is all real numbers greater than or equal to ___ ?

Mathematics
2 answers:
Shkiper50 [21]3 years ago
7 0
You must set each part of the function equal to zero.

5√(x+2) = x is greater than or equal to -2

So the domain is greater than or equal to -2
g100num [7]3 years ago
7 0

Answer:

The domain of f(x) is all real numbers greater than or equal to <u>-2</u>

Step-by-step explanation:

We have been given that

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

Domain is the set of x values for which the function is defined.

The given function is the combination of a square and square root function.

Square function is defined for all real values. Whereas, the square root function is defined for only positive values.

Therefore, the function is defined when

x + 2\geq0

Subtract 2 to both sides

x\geq-2

Hence, the domain of f(x) is all real numbers greater than or equal to <u>-2</u>

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marissa [1.9K]

Answer:

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4 0
3 years ago
It costs 6.95 to ship a 4-pound package and $9.35 to ship a 7-pound package. The shipping charge can be modeled by a linear func
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5 0
3 years ago
What is the range of the function f(x) = -|X - 4| + 5?
Law Incorporation [45]

Answer:

Range = (-<em>∞, 5</em>)

Step-by-step explanation:

This is the absolute value function with transformation.

The parent function is f(x) = |x|

This function has a "negative" in front, so it makes it reflect about x axis

The -4 after x makes horizontal translation of 4 units right

the +5 at the end makes the function translate 5 units UP

<em>The graph is shown in the attached picture.</em>

<em>Looking at the graph, we can clearly see the range. The range is the allowed y-values. Hence, we can see that the </em><em>range is  -infinity to 5</em>

<em />

<em>answer is not properly given, so i can't choose from the options, but the answer is -∞, 5 to 5</em>

3 0
3 years ago
a lawn is in the shape of a rectangle with a length of 100 feet and a width of 45 feet. how many whole bags of fertilizer must b
leva [86]

Answer:

3 bags

Step-by-step explanation:

45 \times 100 = 4500 \\ 4500 \div 2000 = 2.25

you cant have 0.25 of a bag so you round up to 3.

8 0
3 years ago
The faster you drive the less time it takes to reach your destination (a driver's speed is inversely proportional to the drive t
ziro4ka [17]

Answer:

The time the trip takes Kelly is approximately 34 minutes

Step-by-step explanation:

The topic examined by the question is the relationship between speed, distance traveled, and time which is presented here as follows;

Speed, \ S = \dfrac{Distance \ travelled \ 'd'}{Time \ taken \ 't'}

The given parameters of the journey are;

The time it takes Mike to travel from point 'a' to point 'b' = 45 minutes

The speed with which Mike travels = 60 miles an hour

The speed with which Kelly travels the same trip = 80 miles an hour

Let 'd' represent the distance from point 'a' to point 'b', and let 't' represent the time the trip takes Kelly

For Mike, we have;

S = d/t

∴ d = S × t

Where;

S = 60 miles per hour

t = 45 minutes = 0.75 hour

d = 60 miles/hour × 0.75 hour = 45 miles

The distance from point 'a' to point 'b' = d = 45 miles

Similarly, from S = d/t, we have for Kelly the time 't' given as follows;

t = d/S

Where;

S = 80 miles/hour

d = 45 miles

∴ t = 45 miles/(80 miles/hour) = 9/16 hour = 9/16 hour × 60 min/hour = 33.75 minutes

The time the trip takes Kelly = 33.75 minutes ≈ 34 minutes.

3 0
3 years ago
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