MATHEMATICS HIGH SCHOOL

What number will make this expression a perfect square trinomial? Show your work.x² - 6x + __

Answers

Answer 1

Answer:

Answer:

+ 9

Step-by-step explanation:

given

x² - 6x

to make a perfect square use the method of completing the square

add ( half the coefficient of the x- term)² to x² - 6x

x² - 6x

= x² + 2(- 3)x + (- 3)²

= x² - 6x + 9

x² - 6x + 9 = (x - 3)² ← a perfect square

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Tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. The total cost in dollars for ordering 5 tickets is $108.00. Which linear function represents c, the total cost, when x tickets are ordered?

Answers

Let

c--------> the total cost

x------> the number of tickets

z------> the cost of one ticket without service fee

we know that

$108=5.50+5z$

solve for z

combine like terms

$5z=108-5.50$

$5z=102.50$

$z=\$20.50$

The linear function is equal to

$c=5.50+20.50x$

therefore

the answer is

$c=5.50+20.50x$

Answer:

A. C (x) = 5.50 + 20.50x

Step-by-step explanation:

Got Correct On MyPath.

One number is 1 more than 4 times another. Their product is 18. What are the numbers?

Answers

The numbers are 9 and 2.

One number is 1 more than 4 times another.
2 x 4 = 8
8 + 1 = 9

Their product is 18.
9 x 2 = 18

Usually, with this type of problem, it's easiest just to use trial and error. Go through the factors of 18, and eventually you'll find a pair that fits the given criteria.

Jenny has $200.00 in her savings account. The account earns interest at the rate of 3% each year.How much money will Jenny have in her account after one year?

Answers

200*1.03=206
She will have 206$ after one year.

Cup of juice. Howard mixes 1 2/3 cups of water with 1/4 cup juice. Whose mixture is stronger

Answers

is there more to the question??

Simplify the expression using the variable replacements.
2a² – 4bifa= 2andb = 1

Answers

Answer:

= 4

Step-by-step explanation:

2a^2-4b

=2(2)^2-4(1)

=2×4-4

= 8-4

Help me with this.. thanks

Answers

Answer:

Attachment 1 :- x = 3/2

Attachment 2 :- m + r = 154°

Step-by-step explanation:

Attachment 1 :-

$9^(^2^-^x^) = 3\n=> 3^2^(^2^-^x^) = 3\n$

As the base 3 is same on both the sides , cancel the base 3 from both left & right side of eqn. After that we will get:-

$2(2 - x) = 1\n=> 2 - x =(1)/(2) \n=> x = 2 - (1)/(2) = (3)/(2)$

Attachment 2 :-

PQR is a straight line . It's given that m + n = 110°

But we know that m + n + r = 180° ..............eqn.1

So substituting the value of m+n in eqn.1 gives :-

m+n+r = 180°

=> r + 110° = 180°

=> r = 180° - 110°

= 70°

It's also given that n+r = 96°

So putting the value of r in the above gives ,

n+r = 96°

=> n + 70° =96°

=> n = 96° - 70°

= 26°

Putting the value of n in eqn.1 gives

m + n = 110°

=> m + 26° = 110°

=> m = 110° - 26°

= 84°

So m + r = 84° + 70° = 154°

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