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3 years ago

15

Lorenzo ate 3.5 slices of an extra large pizza and consumed a total of 1008 calories. What is the constant of proportionality th

at relates the number of slices, x, to the number of calories, y?

1 answer:

Lorico [155]3 years ago

8 0

A3.5x+1008y

Step-by-step explanation:

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Step-by-step explanation:

The solution is in the attached file

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2 years ago

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40⁰ is angle boc

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2 years ago

Let f be the function defined as follows:1. If a = 2 and b = 3, is f continuous at x = 1? Justify your answer.2. Find a relation

Arada [10]

Answer:

1. not continuous, as the function definitions deliver different function values at x=1 when approaching this x from the left and from the right side.

2.

2 = a + b

3.

0 = 2a + b

4.

a = -2

b = 4

Step-by-step explanation:

the function is continuous at a specific point or value of x, if the f(x) = y functional value is the same coming from the left and the right side at that point.

1. that means that for x=1

3 - x = ax² + bx

so,

3 - 1 = a×1² + b×1 = a + b

2 = a + b

we have to use a=2 and b=3

2 = 2 + 3 = 5

2 is not equal 5, so the assumed equality is false, so the function is not continuous there.

2. point 1 gave us already the working relationship between a and b.

2 = a + b

only if that is true, is the function continuous at x=1.

3. now for x=2

5x - 10 = ax² + bx

5×2 - 10 = a×2² + b×2 = 4a + 2b

10 - 10 = 4a + 2b

0 = 4a + 2b

0 = 2a + b

4. to find a and b to be continuous at both locations x=1 and x=2 both expressions in a and b must apply.

so, they establish a system of 2 equations with 2 variables.

2 = a + b

0 = 2a + b

a = 2 - b

0 = 2×(2-b) + b = 4 - 2b + b = 4 - b

b = 4

therefore

a = 2 - 4 = -2

5. I cannot draw a graph here.

just use now the function

3 - x, x < 1

‐2x² +4x, 1 <= x < 2

5x - 10, x >= 2

8 0

3 years ago

which statement best describes a line in slope intercept form when the coefficient of the x term is negative

Minchanka [31]

Answer:

The angle made by line with positive x axis is more than 90°

Step-by-step explanation:

A line is represented in slope intercept form as

y=mx+c

Where m is called the slope of the line and c is called the y intercept .

Here by slope we means the tangent of the angle , the line makes with the positive x axis .

Now in the case when the coefficient of x is negative , that means the tangent of the angle which line makes with the positive direction of x axis is negative

or

tan $\theta$ = negative

$\theta$ > 90

that means our line makes an obtuse angle that is more than 90° with the positive x axis.

3 0

3 years ago

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