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8_murik_8 [283]
3 years ago
15

Between x = 2 and x = 3, which function has a smaller average rate of change than y = 2x ? A) y = 2 3 -x B) y = 4x - 1 C) y = 5x

-2 D) y = 1 2 -x+1
Mathematics
1 answer:
xxTIMURxx [149]3 years ago
6 0
The two points are (x, f(x)) and (x+h, f(x+h)).  To find the slope, the definition is the change in y over the change of x.  Does this sound familiar!!  Applying this definition we get the following formula:  and the points x<span>1 = 2 and x2 = 4.  Then in our general answer, we will replace x with x1 and h = x2 - x1.  Replacing these values in the formula yields  2(2) + (4 - 2) = 4 + 2 = 6.  Thus, the slope of the secant line connecting the two points of the function is 6. </span><span>Now using the same function as above, find the average rate of change between x1 = -1 and x2<span> = -3.  The answer is 2(-1) + ( -3 + 1) = -2 + -2 = -4.  This means that the secant line is going downhill or decreasing as you look at it from le</span></span>
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I know this easy but what is 8 times 8
Contact [7]
8 times 8 would be 64. :)
8 0
3 years ago
Read 2 more answers
PLZ HELP ASAP!! Drag and drop the constant of proportionality into the box to match the table. If the table is not proportional,
Morgarella [4.7K]

Answer:

not proportional

2 / 1 ≠ 3 / 2


5 0
3 years ago
In a rational function, is the horizontal shift represented by the vertical asymptote?
ziro4ka [17]
<h3>Short Answer: Yes, the horizontal shift is represented by the vertical asymptote</h3>

A bit of further explanation:

The parent function is y = 1/x which is a hyperbola that has a vertical asymptote overlapping the y axis perfectly. Its vertical asymptote is x = 0 as we cannot divide by zero. If x = 0 then 1/0 is undefined.

Shifting the function h units to the right (h is some positive number), then we end up with 1/(x-h) and we see that x = h leads to the denominator being zero. So the vertical asymptote is x = h

For example, if we shifted the parent function 2 units to the right then we have 1/x turn into 1/(x-2). The vertical asymptote goes from x = 0 to x = 2. This shows how the vertical asymptote is very closely related to the horizontal shifting.

7 0
3 years ago
Which of the following fractions is greater than -4/5 but less than -3/4
choli [55]

Answer:

B. -19/25

Step-by-step explanation:

You are looking for an answer that is greater than -4/5 (which is equal to -0.80) but less than -3/4 (which is equal to -0.75). So, you can easily convert the fractions to decimals by dividing.

-33/50 = -0.66, which is greater than -0.75, so it can be eliminated.

-19/25 = -0.76, which fits our parameters, so it is the answer.

-19/20 = -0.95, which is less than -0.80, so it can be eliminated.

-7/10 = -0.70, which is greater than -0.75, so it can be eliminated.

7 0
3 years ago
Solve this equation.
spin [16.1K]

Answer:

D: 6 5/6

Step-by-step explanation:

Solve for a:

a + 7/6 = 8

Put each term in a + 7/6 over the common denominator 6: a + 7/6 = (6 a)/6 + 7/6:

(6 a)/6 + 7/6 = 8

(6 a)/6 + 7/6 = (6 a + 7)/6:

(6 a + 7)/6 = 8

Multiply both sides of (6 a + 7)/6 = 8 by 6:

(6 (6 a + 7))/6 = 6×8

(6 (6 a + 7))/6 = 6/6×(6 a + 7) = 6 a + 7:

6 a + 7 = 6×8

6×8 = 48:

6 a + 7 = 48

Subtract 7 from both sides:

6 a + (7 - 7) = 48 - 7

7 - 7 = 0:

6 a = 48 - 7

48 - 7 = 41:

6 a = 41

Divide both sides of 6 a = 41 by 6:

(6 a)/6 = 41/6

6/6 = 1:

Answer:  a = 41/6 or a= 6 5/6

7 0
3 years ago
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