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bogdanovich [222]
3 years ago
13

(04.01 LC)

Mathematics
1 answer:
eduard3 years ago
4 0

Answer:

Only A

Step-by-step explanation:

Let's remember the definition of a function:

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

In A, each input has exactly one output so it's a function.

But in B, the inputs 4 and 9 have two different outputs, it can't represent a function.

The answer is only A.

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Answer:

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Step-by-step explanation:

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romanna [79]

Answer:

64÷16+[12x{16÷(16-10)}]

64÷16+[12x{16÷6}]

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3 years ago
Can someone please help me with this?!
Alinara [238K]

Answer: y=\frac{1}{4}x-3


Step-by-step explanation:

- The equation of the line in the slope intercept form is: y=mx+b

Where m is the slope and b is the y-intercept of the line

- Let's choose two points of the line: (8,-1) and (-4,-4).

- You must calculate the slope of the line as following:

m=\frac{y_2-y_1}{x_2-x_1}=\frac{-4-(-1)}{-4-8}=\frac{1}{4}

- As you can see in the graph attached, the line intersects the y-axis at -3, then b=-3.

- Substituting values into the equation of the line, you obtain:

y=\frac{1}{4}x-3


3 0
3 years ago
Suppose there are 100 trout in a lake and the yearly growth factor for the populations is 1.5. Write the exponential equation fo
RSB [31]
T=100(1.5^t)
Where T is number of trout and t is time in years applied as an exponent to the 1.5 factor
5 0
2 years ago
Find the area of the region bounded by the line y=3x-6 and line y=-2x+8.
Vikentia [17]

Answer:

A = 12/5 units

Step-by-step explanation:

USING ALGEBRA:

We can find the intersection point between these two lines;

y = 3x - 6

y = -2x + 8

Set these two equations equal to each other.

3x - 6 = -2x + 8

Add 2x to both sides of the equation.

5x - 6 = 8

Add 6 to both sides of the equation.

5x = 14

Divide both sides of the equation by 5.

x = 14/5  

Find the y-value where these points intersect by plugging this x-value back into either equation.

y = 3(14/5) - 6

Multiply and simplify.

y = 42/5 - 6

Multiply 6 by (5/5) to get common denominators.

y = 42/5 - 30/5  

Subtract and simplify.

y = 12/5

These two lines intersect at the point 12/5. This is the height of the triangle formed by these two lines and the x-axis.

Now let's find the roots of these equations (where they touch the x-axis) so we can determine the base of the triangle.

Set both equations equal to 0.

(I) 0 = 3x - 6  

Add 6 both sides of the equation.

6 = 3x

Divide both sides of the equation by 3.

x = 2  

Set the second equation equal to 0.

(II) 0 = -2x + 8

Add 2x to both sides of the equation.

2x = 8

Divide both sides of the equation by 2.

x = 4

The base of the triangle is from (2,0) to (4,0), making it a length of 2 units.

The height of the triangle is 12/5 units.

Formula for the Area of a Triangle:

A = 1/2bh

Substitute 2 for b and 14/5 for h.

A = (1/2) · (2) · (12/5)

Multiply and simplify.

A = 12/5

The area of the region bounded by the lines y = 3x - 6 and y = -2x + 8 between the x-axis is 12/5 units.

3 0
2 years ago
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