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VMariaS [17]
3 years ago
13

Find a quadratic function in standard form for each set of points

Mathematics
1 answer:
otez555 [7]3 years ago
5 0
For 1 the equation of the parabola is y = x^2 - 8x + 3
For 2 the equation of the parabola is y = -2x^2 - 3x + 1
For 3 the equation of the parabola is y = -x^2 + 5x - 4
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What is the average rate of change of the function from x = 0 to x = 2?.
irina1246 [14]

The average rate of change of the function from x = 0 to x = 2 is -2

From the complete question (see attachment), we have the following ordered pair when x = 0 and x = 2

(x,y) = \{(0,10)\ (2,6)\}

The average rate of change is calculated using:

\Delta x = \frac{y_2 -y_1}{x_2 -x_1}

So, we have:

\Delta x = \frac{6-10}{2-0}

Evaluate common terms

\Delta x = \frac{-4}{2}

Divide -4 by 2

\Delta x = -2

Hence, the average rate of change of the function from x = 0 to x = 2 is -2

Read more about rate of change at:

brainly.com/question/8728504

5 0
2 years ago
Which of the following can be represented by the expression 2 ➗ (1/3)? a. Faye has 2 yards of twine and uses (1/3) yard to tie a
GREYUIT [131]

Answer: C. She is dividing the entire length into shorter lengths.

The rest of the question would be "How many pieces will she get?"

Step-by-step explanation:

A would be a subtraction problem UNLESS it goes on to ask "how many 1/3 yard pieces can she cut?"

It's a subtraction problem if it's about "how many yards are left?"

B is just backwards and makes no sense with the expression given.

7 0
3 years ago
Please help and please show work!!!
mina [271]

9514 1404 393

Answer:

  a.  61

Step-by-step explanation:

The remainder theorem tells you the remainder of f(x)/(x -3) is equal to f(3). Using x=3 in the expression, we have ...

  4x³ -2x² -10x +1

  = ((4x -2)x -10)x +1

  = ((4·3 -2)(3) -10)(3) +1 = (10·3 -10)(3) +1 = 20·3 +1

  = 61

The remainder from division by (x -3) is 61.

3 0
2 years ago
In a triangle the base is 4/7 the height and their sum is 110cm. A square is 7/8 of the triangle. Calculate the perimeter of the
Likurg_2 [28]

Perimeter is the continuous line forming the boundary of a closed geometric figure.The formula to find perimeter is (length+width)x2

3 0
2 years ago
Read 2 more answers
HELP PLEASEEEE A dressmaker needs to cut 4-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 4-inch
k0ka [10]
1620 - written as 4•3•9•15
4 0
3 years ago
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