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

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?

Answers

Answer 1

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


Related Questions

Andrew shovels snow for 4 %2 hours and makes
$27. How much did he make per hour?
And how much does he earn in 8 hours?

Answers

He got paid $54! :)

pls help me with this:((((((​

Answers

Answer: Multiple answers

Step-by-step explanation:

Answer: Multiple answers

Step-by-step explanation:

P.E.M.D.A.S (order of operations)

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction (From left to right)

M=Multiplication

D=Division

Multiplication is done before division.

So, multiply 1.21*2 for the first problem, and 1.20*2 for the other 2 problems.

1.

24/(1.21)2 becomes 24/2.42

24/2.42= 9.9173553719 (or 9.92 rounded, or 9.9)

2.

29/(1.20)2 becomes 29/2.4

29/2.4= 12.0833333333 (or 12.08 rounded, or 12.1)

3.

40/(1.20)2 becomes 40/2.4

40/2.4= 16.6666666667 (or 16.7 rounded)

I am not sure if you have to round your answers up, so I provided those answers as well in case.

Hope this helps!

solve pls brainliest

Answers

a

distance is -8

b

-7 - 1 = -8

1 - (-7) = 8

c

l-7 - 1l = 8

l 1 - (-7)l = 8

hope this helps

Dad is splitting 16 grapes evenly between my friends and me.
If there are 2 of us, how many grapes should we each get?




:]

Answers

Answer: 8 grapes

Step-by-step explanation:

Division represents even distribution.  As such, simply rephrase the word problem as 16 ÷ 2, or 8.

Hope it helps :) and let me know if you want me to elaborate.

nathan used 2 5/6 loaves of bread to make sandwiches for a lunch he made equal numbers of 4 different types of sandwiches

Answers

Answer:

nawng nimo lobot nako para ma baho imong nawng ibotang sakong lobot

5( x + 9)
What is the answer to that

Answers

Answer:

5x + 45

Step-by-step explanation:

distribute 5 to both x and 9 so multiply them both

Evaluate the formula z=
p−p
pq
n when p=
537
1851​, n=1851​, p=0.30​, and q=1−p

Answers

Answer:  -0.93

Work Shown:

[tex]z = \frac{\hat{p}-p}{\sqrt{\frac{pq}{n}}}\\\\\\z = \frac{\frac{537}{1851}-0.30}{\sqrt{\frac{0.30*(1-0.30)}{1851}}}\\\\\\z \approx \frac{0.290113-0.30}{\sqrt{\frac{0.21}{1851}}}\\\\\\z \approx \frac{-0.009887}{\sqrt{0.000113}}\\\\\\z \approx \frac{-0.009887}{0.010630}\\\\\\z \approx -0.93010348071496\\\\\\z \approx -0.93\\\\\\[/tex]

Write 21/5 x 5/14 in its simplest form
Pls help

Answers

Answer:

3/2

Step-by-step explanation:

21/5×5/14

105/70

divide by 5

21/14

divide both by 7

3/2

plzzzzz help faast

7) Write the equation of the line that passes through (-4,4) and (2,10)​

Answers

Answer:

y=x+8

Step-by-step explanation:

m=y2-y1/x2-x1

First you choose one of your coordinate points to be 1 and one to be 2.

Then you substitute your x and y values into the equation above.

That way, you find the slope of the line.

For example i chose (-4,4) to be point 1 and (2,10) to be point 2.

m=10-4/2-(-4)

m=6/6

m=1

Next, you write the equation of a line.

y=mx+b

and you substitute the x and y values of one coordinate point into the equation. You also put m(slope) in, the one you just solved for.

I chose to substitute (2, 10)

10= 1(2)+b

Next, you solve for b

10=2+b

10-2=b

b=8

Now that you have b and your slope, you substitute those into the second equation

y=1x+8 or

y=x+8

8 1/3 divided by 4 2/7 i will gove brainlist if good answer

Answers

Answer: 35/18 or 1 17/18

Make both of the fractions improper by multiplying the denominator of one fraction by its whole number and add on the extra from the numerator. So 3x8 is 24, add the 1 is 25 to get 25/3 for the first fraction and 7 x 4 is 28, add 2 to gives us 30/7 (remember all denominators stay the same as in the question).

Now follow the steps in KFC (or KCF)

Keep the first fraction (25/3)

Change the sign to a x

Flip the last fraction (30/7 becomes 7/30)

Now we get 25/3 x 7/30

Multiply along the top and bottom to get 175/90 which then simplifies to 35/18 cuz we divided the top and bottom by 5. We can change 35/18 to a mixed number: 1 17/18

Triangles ABD and XYZ are similar .Find the length of the segment XZ.

Answers

Answer: 2.4

Step-by-step explanation:

Because they are similar, the lengths of the sides will have the same ratio.

We will use side AB and side XY since it shows both sides.

This shows that the ratio is 3:4

We can then use that to find out that XZ also uses the ratio 3:4

3.2 / 4 = 0.8

0.8 * 3 = 2.4

XY is equal to 2.4

B
Given: BA= BC and DAE EC
Prove: BD = BE
D
E
A
с
Reasons
Statements
BA congruent to BC
DA congruent to EC
Given
Given
BD congruent to BE

Answers

Hola que ha dado un teléfono de vuelta y me han

what is the value of X and what is the value of Y


PLEASE HURRY

Answers

The triangle that does not have the y angle, equate all of its angles to 180 degrees and solve for x. Once you solve for x, substitute that value to the angles in the other triangle, and then add them all up and equate it to 180 degrees to solve for y.

tony purchases a pair of jeans for 45.49 before tax the jeans were originally priced at 69.99 what was the percent discount a 35% B 20% C 65% and D 80% pls help
the book is think up

Answers

Answer:

your so funny for a annoying kid

Step-by-step explanation:

A convenience store purchased a magazine and marked it up 100% from the original cost of $2.30. A week later, the store placed the magazine on sale for 50% off. What was the discount price?

What is the answer of the 5? I don’t know how to do this, please help me! ☹️☹️☹️☹️☹️

Answers

Step-by-step explanation:

the perimeter is easy.

it is an isoceles triangle, that means both sides are equally long (10 units).

the length of the baseline we can read directly off the coordinates of P and Q.

both are on the same horizontal grid line y = 1. so, the difference in x is their distance : 8 - -8 = 8+8 = 16

so, the perimeter is 10 + 10 + 16 = 36 units.

now, for k :

k is the height of the triangle + 1 (as the baseline is at y=1 and not at 0).

we can get the height by using Pythagoras :

c² = a² + b²

c is the Hypotenuse (the baseline) of the dude opposite of the 90° angle.

the triangle we use for this is

PR, half of PQ and the height of the main triangle, with PR being the Hypotenuse.

so,

10² = (16/2)² + height² = 8² + height²

height² = 10² - 8² = 100 - 64 = 36

height = 6

therefore, k = 6 + 1 = 7

WILL MARK BRAINLY
The graph of g(x)=x^2+2x is translated by 4 units to the left. which of the following gives the equation of the new graph?
x^2 + 10x + 24
x^2 + 2x + 4
x^2 + 2x - 4
x^2 - 6x + 8

Answers

Answer:

X^2 + 10x +24

Step-by-step explanation:

I hope this helps!

Please help 20 points

Answers

Answer:

60°

Step-by-step explanation:

Sum of angles in a triangle is equal to 180°.

33°+87°=120°

180°-120°= 60°

60°, but u put 10 points instead of 20

A plumber charges a 8 fee plus 15 per hour for labor. Write an equation in slope intercept form to model the total cost for a job.

Answers

Answer:

y=15x+8

Step-by-step explanation:

Have a good day =)

please help circle math problem

Answers

Answer:

If you‘re looking for the Circumference of a circle (since i didn’t really understand your question) C = 3 x 3.14 x radius (C is circumference aka perimeter btw)

Step-by-step explanation:

10÷250 and please no links​

Answers

Answer:

10÷250

= 0.04

Step-by-step explanation:

that's the answers

10 divided by 250 is 0.04

Giving brainliest if you answer correctly

Answers

Answer:

1

Step-by-step explanation:

2(5)/3^2 + 1 =

10/9 + 1

10/10 =

1

What is 1 3 fourths x 8?

Answers

Answer:

14

Step-by-step explanation:

1 3 fourths is 7/4

(7/4)*8

4 cancels out with 8

2*7=14

1 3 fourths = 1 3/4 = 7/4

=》 7/4 × 8 (cancel out 4 & 8)

=》 7 × 2 (multiply them)

=》 14

____

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

Point D is the centroid of △ABC. Use the given information to find the value of x.
BD=4x+5 and BF=9x

x=

Answers

Based on the centroid theorem, the value of x is: 2.5.

What is the Centroid Theorem?

The centroid theorem states that, the centroid of a triangle equals two-third of the distance from each midpoint of a triangle to each vertex.

Given:

BD = 4x + 5

BF = 9x

Thus:

BD = 2/3(BF)

Substitute

4x + 5 = 2/3(9x)

4x + 5 = 6x

4x - 6x = -5

-2x = -5

x = 5/2

x = 2.5

Therefore, based on the centroid theorem, the value of x is: 2.5.

Learn more about centroid theorem on:

https://brainly.com/question/20627009

Can someone help me

Answers

Answer:

Step-by-step explanation:

1/4 : 2 * 1/4 = 6 : x

0.25 : 2/4 = 6 : x

0.25 : 1/2 = 6 : x

0.25 : 0.5 = 6 : x

0.5 = 6 : x

x = 6 : 0.5

x = 12

PLEASE PLEASE ANSWER

Answers

Answer:

Step-by-step explanation:

So the sum of 128 and x+10 is on a straight line which is 180º right?, so:

x + 10 + 128 = 180

x = 180 - 128 - 10

x = 42º

Answer:

42

Step-by-step explanation:

x +10 +128 = 180   {Linear pair}

x  + 138 = 180

x = 180 - 138

x = 42

upper bound and lower bound of 80.0

Answers

Answer: 79.95 and 80.05

Step-by-step explanation: If the upper bound and lower bound is asked to a tenth then divide 0.1 by 2 and add 0.05 to 80.0 for the upper bound and minus 0.05 from 80.0 t get the lower bound.  

Pamela initially filled a measuring cup with 2/3 of a cup of syrup from a large jug. Then she poured 2/5 of a cup back into the jug. How much syrup remains in the measuring cup?

Answers

Answer:

I believe the answer is 4/15

Step-by-step explanation:

10, 20, 30, 40, ... as a sequence equation

Answers

Answer:

20 -10 = 10

30 -20 = 10

40 -10 = 30

50 -10 = 40

This is the pattern we will add 10 to 40 that is 50

Brainliest pls

A circle’s circumference is approximately 76 cm.



Estimate the radius of the circle.



Use 3.14 for .

Round your answer to the nearest whole number.

Answers

Answer: Area= 459.73cm^2

Step-by-step explanation: Circumference of a circle is 2πr

76=2×3.14×r

r= 76÷(6×3.14)

r=12.10

Area of a circle= πr^2

Area= 3.14×(12.10)^2

Area= 456.73cm^2

Write the equation of the line

Answers

Answer:

x = -2

Step-by-step explanation:

the graph never crosses the y-axis so it would be zero, but it crosses the x-axis at -2

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