Consider the following statements.

How do you complete the square to rewrite y= x^ -6x + 15 in vertex form

Vaselesa [24]

Vertex form of a quadratic equation is $y=a(x-h)^{2}+k$
where (h, k) is the vertex.

Our aim is to write the expression $y=x^{2} -6x+15$ in the form
$y=a(x-h)^{2}+k$

$y=x^{2} -6x+15$

$y=x^{2} -2*3*x+15$

$y=(x^{2} -2*3*x+ 3^{2})-3^{2}+ 15$

$y=(x-3)^{2}-9+15$

$y=(x-3)^{2}+6$

5 0

3 years ago

Nathaniel has $2 worth of dimes and quarters. He has 6 more dimes than quarters. By following the steps below, determine the num

Aleksandr-060686 [28]

Answer:

10 dimes and 4 quarters

Step-by-step explanation:

Number of dimes = d, each d = 10 c
Number of quarters = q, each q = 25 c
Total = $2 = 200 c

Equations according the given:

10d + 25q = 200
d = q + 6

Solve for q by substitution:

10(q + 6) + 25q = 200
10q + 60 + 25q = 200
35q = 140
q = 140/35
q = 4

Find the value of d:

d = 4 + 6 = 10

Nathaniel has 10 dimes and 4 quarters

8 0

3 years ago

What is the number of pie multiplied by two

Amanda [17]

Pie goes on forever, so you round it to 3.14.
3.14*2= 6.28
Hope that helped!

8 0

3 years ago

Read 2 more answers

Solve number 8 (geometry)

ANEK [815]

Answer:

x = 50

Step-by-step explanation:

the word bisects means that it cuts in half (this is how I understand it, not the official definition :D)

so that means

$\angle XAB =\angle BAY\\\\2x=100\\\\x=50$

3 0

3 years ago

the weights of ten cats in pounds are 14, 10, 11, 9, 12, 8, 8, 10, 7, and 10. what is the mean absolute deviation of the weights

BabaBlast [244]

Answer:

HOW TO DO STEP BY STEP:)

Original set ={14, 10, 11, 9, 12, 8, 8, 10, 7,10}

n = 8 is the number of values in that set above

Add up the values 12+11+7+10+10+11+6+8+14+8 = 97

Divide that sum by n = 8 to get 97/8 = 12. So the mean = 12

For each value in the original set {14, 10, 11, 9, 12, 8, 8, 10, 7,10} subtract off the mean = 12. Apply the absolute value to ensure the result is positive or zero

|x - mean| = |14 - 12| = -2

|x - mean| = |10 - 12| = 2

|x - mean| = |11- 12| = 1

|x - mean| = |9 - 12| = 3

|x - mean| = |12 - 12| =0

|x - mean| = |8 - 12| = 4

|x - mean| = |10 - 12| =2

|x - mean| = |7 - 12| = 5

|x - mean| = |10 - 12| = 2

The set of results we get are: {-2,2,1,3,4,4,2,5,2 } -2,2,1,3,4,4,2,5,= 21, then we divide 21 that over n = 12 (21/12) to get = 1.75

Therefore the mean absolute deviation (MAD) is 1.75

7 0

3 years ago

Read 2 more answers