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beks73 [17]
2 years ago
9

Sam completed the square for the quadratic equation y=12x2−2x+3 in order to determine the minimum value of the equation, as show

n.
Step 1: y=12(x2−1x+32)
Step 2: y=12(x2−x+14−14+32)
Step 3: y=12((x−12)2−14+32)
Step 4: y=12((x−12)2+54)
Step 5: y=12(x−12)2+58
What mistake, if any, did Sam make?
Mathematics
1 answer:
Ulleksa [173]2 years ago
7 0

In Step 1, she incorrectly factored out 1/2. She should have written y=1/2(x^2−4x+6).

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Which rational number represents a decrease in water level from 8 feet to 6 feet?
Alexxx [7]
-6/8...I guess so
Tell me if it is right or not
6 0
3 years ago
Consider the function,
RUDIKE [14]

Answer:

If x= 4 then f(x) = 4x -5 is 11.

Step-by-step explanation:

f(x) = 4x -5

We need to find the domain value that corresponds to the output f(x) = 11

In this question, we need to solve the expression for value of x such that the answer is 11.

if  x= 3

f(3) = 4(3) -5

     = 12 -5

    = 7

Since we want the answer 11 so we cannot take x= 3

if x = 4

f(4) = 4(4)-5

    = 16 - 5

    = 11

So, if x= 4 then f(x) = 4x -5 is 11.

5 0
3 years ago
Pls answer with explanation!
patriot [66]

Answer:

3,750 cars.

Step-by-step explanation:

We are given that the equation:

y=9000-2.4x

Models the relationsip between <em>y</em>, the number of unfilled seats in the stadium, and <em>x</em>, the number of cars in the parking lot.

We want to determine the number of cars in the parking lot when there are no unfilled seats in the stadium.

When there are no unfilled seats in the stadium, <em>y</em> = 0. Thus:

0=9000-2.4x

Solve for <em>x</em>. Subtract 9000 from both sides:

-2.4x=-9000

Divide both sides by -2.4:

x=3750

So, there will be 3,750 cars in the parking lot when there are no unfilled seats in the stadium.

4 0
3 years ago
Points A, B, and C are collinear. Point B is between A and C. Find the length indicated. AB= 5x-15, BC=3x-5, and AC=28. Find AB
katrin2010 [14]

Answer: AB is 15

Step-by-step explanation: First, you need to draw a picture and label the parts of the line: AB=5x-15; BC= 3x-5; AC =28. Because of the segment addition postulate, you set the equation to be 5x-15+3x-5=28. Then you solve:

5x-15+3x-5=28

Add like terms:

8x-20=28

Add 20 to both sides

8x=48

Divide by 8

x=6

Now, you need to find the measure of AB, so you plug the 6 into the x variable for 5x-15

5(6)-15

30-15

AB=15

4 0
3 years ago
Please help me out !!! <br><br> *please answer asap*
mariarad [96]

Answer:

h(-3) = -5

Step-by-step explanation:

h(-3) = -I 2-(-3) I

Two negatives makes a positive: -(-3) = +3 or 3

h(-3) = -I 2+3 I

h(-3) = -I 5 I

*There is a negative that lies outside of the absolute value lines, which makes everything positive.

Making sure the 5 is positive, remove the absolute value lines.

h(-3) = - +5

The negative sign is still there.

A negative and a positive makes a negative.

h(-3) = -5

7 0
3 years ago
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