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balu736 [363]
3 years ago
12

The number line below represents the lengths, in inches, of fish that can be kept when caught on a certain lake. What does the s

olution set shown on the number line represents in this situation?
A.) a fish can be kept if it’s length is less than 19 inches or greater than 21 inches
B.) a fish can be kept if it’s length is at least 19 inches or not greater than 21 inches
C.) a fish can be kept if it’s length is at least 19 inches and not greater than 21 inches
D.) a fish can be kept if it’s length is less than 28 inches and greater than 21 inches

Mathematics
1 answer:
o-na [289]3 years ago
8 0

Answer:

the answer is the third one.

Step-by-step explanation:

the number line is closed circle and at least means greater than or equal to so the answer is "C".

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Consider the functions f(x) = 2x + 1 and g(x) = x^2 − 10 What is the value of f[g(3)]?
HACTEHA [7]

Answer:

-1

Step-by-step explanation:

Tip: Remember to always start from the inside, which would be g(3), in this case.

The first step in solving this problem is to solve for g(3).

To accomplish this, you must substitute 3 for x into the given equation g(x) = x^2 - 10

  • g(3) = 3^2 - 10
  • g(3) = 9 - 10
  • g(3) = -1

The next step is to substitute the answer of g(3), -1, for x in the given equation f(x) = 2x + 1.

Because the equation is asking for f[g(3)], it becomes f(-1) because g(3) = -1.

  • f(-1) = 2(-1) + 1
  • f(-1) = -2 + 1
  • f(-1) = -1

Therefore, f[g(3)], or f(-1), equals -1

6 0
3 years ago
The graph of the function f(x) = (x + 6)(x + 2) is shown. Which statements describe the graph? Check all that apply.
dedylja [7]

Answer: The correct statements are ,

The domain is all real numbers.

The function is negative over (–6, –2).

The axis of symmetry is x = –4. .

Given that,

Function f(x) = (x + 6)(x + 2) .

We have to find,

The vertex, axis of symmetry, domain for the given function f(x).

The vertex represents the lowest point on the graph or the minimum value of the quadratic function.

Which is x = -6 for the function f(x).

So, The vertex is the minimum value x = -6.

The axis of symmetry is the vertical line that goes through the vertex of a parabola so the left and right sides of the parabola are symmetric.

Axis of symmetry =

So, f(x) = (x + 6)(x + 2) =

Then, Axis of symmetry =  = -4.

The domain of a quadratic function f(x) is the set of x -values for which the function is defined.

The domain for  f(x) = (x + 6)(x + 2) is -6 and -2 which are all real number.

A function is called monotonically increasing (also increasing or non-decreasing).

The function is increasing over  (–∞, –6) for function f(x) = (x + 6)(x + 2) .

The y-value decreases as the x-value increases: For a function y = f(x): when  <  then, The function is negative over (–6, –2).

For more information about Quadratic equation click the link given below.

brainly.com/question/24065247

Step-by-step explanation:

4 0
3 years ago
What's negative 2 thirds turned into a decimal
Leto [7]
-2/3 is -.66 repeating so a line over the six's
4 0
4 years ago
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A cone has a height of 19 yards and a radius of 7 yards. What is its volume
Tanya [424]

Answer:

Step-by-step explanation:

h= 19 yards, r=7yards, v=?,Π= 3.14

Vol. Of a cone = 1/3×h×Π×r²

V= 1/3×19×3.14×7²

V= 2923.34/3

V=974.45

To the nearest hundredth

V=974cm³

5 0
3 years ago
The radius of a circle is 620cm what is the diameter of this circle
enot [183]

Answer:

1240 cm

Step-by-step explanation:

Diameter = 2 * radius

The radius is 620, making the diameter 620 * 2 = 1240

6 0
3 years ago
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