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avanturin [10]
3 years ago
5

What is the lower limit of f(x) = x^5 - 3x^3+ 24

Mathematics
1 answer:
miss Akunina [59]3 years ago
4 0
It is either negative 1968594
Or it is negative 2150814
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13. A discount retail store gives a 8% discount
ohaa [14]

Answer:

the final cost is $31.74

6 0
2 years ago
Kim’s hair grows a half inch per month. How many months will it take for her hair to grow 12 inches?
Contact [7]

Answer:

24 months

Step-by-step explanation:

Cross-multiply

0.5 inches -------------- 1 month

12 inches ---------------- x months

0.5/12 = 1/x ===> 0.5x = 12 ===> x = 12/0.5  ===> x = 24 months

3 0
2 years ago
Express each of the following quadratic functions in the form of f(x) = a (x - h)²+ k.Then,state the minimum or maximum value,ax
Ivan

Given:

The function is:

f(x)=-2x^2+7x+4

To find:

Express the quadratic equation in the form of f(x)=a(x-h)^2+k, then state the minimum or maximum value,axis of symmetry and minimum or maximum point.

Solution:

The vertex form of a quadratic function is:

f(x)=a(x-h)^2+k              ...(i)

Where, a is a constant, (h,k) is the vertex and x=h is the axis of symmetry.

We have,

f(x)=-2x^2+7x+4

It can be written as:

f(x)=-2\left(x^2-3.5x\right)+4

Adding and subtracting square of half of coefficient of x inside the parenthesis, we get

f(x)=-2\left(x^2-3.5x+(\dfrac{3.5}{2})^2-(\dfrac{3.5}{2})^2\right)+4

f(x)=-2\left(x^2-3.5x+(1.75)^2\right)-2\left(-(1.75)^2\right)+4

f(x)=-2\left(x-1.75\right)^2+2(3.0625)+4

f(x)=-2\left(x-1.75\right)^2+6.125+4

f(x)=-2\left(x-1.75\right)^2+10.125                ...(ii)

On comparing (i) and (ii), we get

a=-2,h=1.75,k=10.125

Here, a is negative, the given function represents a downward parabola and its vertex is the point of maxima.

Maximum value = 10.125

Axis of symmetry : x=1.75

Maximum point = (1.75,10.125)

Therefore, the vertex form of the given function is f(x)=-2\left(x-1.75\right)^2+10.125, the maximum value is 10.125, the axis of symmetry is x=1.75 and the maximum point is (1.75,10.125).

8 0
3 years ago
What fraction of a circle is 80°?​
Liono4ka [1.6K]

Answer:

2/9

Step-by-step explanation:

Simplify 80°/360°

4 0
3 years ago
Read 2 more answers
Melody works at a local Burger King restaurant. Her regularly hourly wage is $9.70. If she regularly works 40 hours per week, wh
Brut [27]

Answer: $20, 176

Step-by-step explanation: All you have to do is multiply how much she gets paid per hour by the number of hours that she works so it would just be 9.70*40 which equals 388. Then you have to multiply that answer by the number of weeks in a year so it would be 388*52 and your final answer would be $20, 176.

7 0
3 years ago
Read 2 more answers
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