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eduard
3 years ago
5

Find lim 12+1)-(2) if f(x) = x² + x + 1

Mathematics
1 answer:
kotegsom [21]3 years ago
7 0

Answer:

The answer is 11 Hope this helps ;)

Step-by-step explanation:

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Identify the vertex, axis of symmetry, minimum or maximum, domain, and range of the function f(
alekssr [168]

Identify the vertex, axis of symmetry, minimum or maximum, domain, and range of the function ()=−(+)^−

<em><u>Answer:</u></em>

vertex = (-4, -5)

Axis of symmetry = -4

use the (-4, -5) to find the minimum value

Domain = ( - \infty, \infty ) , [ x | x\ is\ real ]\\\\Range = [ -5, \infty ), y\geq -5

<em><u>Solution:</u></em>

Given function is:

f(x) = (x+4)^2 - 5

The equation in vertex form is given as:

y = a(x-h)^2+k

Where, (h, k) is constant

On comparing give function with vertex form,

h = -4

k = -5

Vertex is (-4 , -5)

Axis of symmetry : x co-ordinate of vertex

Thus, axis of symmetry = -4

The coefficient of x^2 is positive in given function.

Thus the vertex point will be a minimum

Minimum\ value = f(\frac{-b}{a})

f(x) = x^2 + 8x + 16 - 5\\\\f(x) = x^2 + 8x + 11

f(x) = ax^2+bx+c

On comparing,

a = 1

b = 8

x = \frac{-b}{2a} = \frac{-8}{2 \times 1} = -4

f(-4) = (-4)^2 + 8(-4) + 11 = 16 - 32 + 11 = -5

Thus, use the (-4, -5) to find the minimum value

Domain and range

f(x) = (x+4)^2 - 5

The domain is the input values shown on the x-axis

The range is the set of possible output values f(x)

Therefore,

Domain = ( - \infty, \infty ) , [ x | x\ is\ real ]\\\\Range = [ -5, \infty ), y\geq -5

4 0
3 years ago
If I was born in 1946 what year was I twenty years old
oee [108]

Answer:

If you was born in 1946 you would be twenty years old in:

1946+20

1966

4 0
3 years ago
What is 314.16 rounded to the nearest hundredth
Galina-37 [17]

Since there is no number in the thousandths place which would make the number in the hundredths place round up or down, we keep the number the same:

314.16

Hope it helps! Good luck. :)

4 0
3 years ago
Danny rented a truck for one day. There was a base fee of $15.99, and there was an additional charge of 92 cents for each mile d
Kitty [74]

Answer:

194 miles

Step-by-step explanation:

The base fee of $15.99 is going to have to be paid, whether any miles are put on the truck or not.  If the number of miles driven is our unknown, if we rent the truck for the base fee of $15.99 and drive it 0 miles, we still have to pay the $15.99.  If we do drive it and we have to pay .92 a mile, the expression for that is .92x, where x is the number of miles driven (it is also the variable we are solving for!).  The expression for this total cost is .92x + 15.99, and since we paid a total of $194.47, we set our cost equation equal to that number and solve for x:

.92x + 15.99 = 194.47 and

.92x = 178.48 so

x = 194 miles driven

5 0
3 years ago
Someone help!!! the image is below with question!
PSYCHO15rus [73]

Answer:

It is the first answer option.

Step-by-step explanation:

4 0
3 years ago
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