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nasty-shy [4]
3 years ago
13

Determine the constant that must be added to the given expression to complete the square and express the resulting trinomial as

the square of a binomial.
x^2-6x
Show your work:
Constant:_____
Expression:_____
Mathematics
1 answer:
erma4kov [3.2K]3 years ago
8 0
Constant:9
Expression: (x-3)^2
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Barney & Noblet customers can choose to purchase a membership for $25 per year Members receive 10% off all store purchases
Law Incorporation [45]

Answer:

  1. $70
  2. y = 25 + 0.9x
  3. $250

Step-by-step explanation:

1. 10% of $50 is $5, so the purchases would come to $50 -5 = $45. Added to the $25 membership fee, the total cost for the year would be

  $45 +25 = $70

2. The member pays $25 even if no purchases are made. Then any purchases are 100% - 10% = 90% of the marked price. So, the total is ...

  y = 25 + 0.90x

3. $25 is 10% of $250, so that is the amount the member would have to purchase to break even on cost.

If you like, you can compare the cost without the membership (x) to the cost with the membership (25+.9x) and see where those costs are equal.

  x = 25 +0.9x . . . . . x is the spending level at which there is no advantage

  0.1x = 25 . . . . . . . . subtract 0.9x

  25/0.1 = x = 250 . . . divide by 0.1

4 0
3 years ago
Can a -150/10 be classified as both a rational number and a integer
irakobra [83]
Yes! This is because -150/10 can be simplified to be -15, which is a rational number.

The word “rational” sounds like another math word you’ve heard of before. Do you know what it is?

Well, it’s “ratio”!! Ratios can be seen in the forms x:y and x/y.


ANY RATIONAL NUMBER HAS THE ABILITY TO BE WRITTEN AS A RATIO!! This will completely exclude numbers with super long decimal points (ex: 1.2345678809928374737272828...)

This number also meets the requirements of being an integer. An integer is any whole number (this excludes decimals and fractions)

I know it’s written as a fraction. However, the fraction could be simplified, making it -15, which means this is both a rational number and an integer!!
6 0
3 years ago
Which function has an inverse that is a function?
shusha [124]

Answer:

  C.  -7x

Step-by-step explanation:

Only one of the offered choices passes the horizontal line test: at most one point of intersection with any horizontal line.

__

A: a parabola opening upward, so will have two points of intersection with a general horizontal line (only one at the vertex).

B: a horizontal line, so will have an infinite number of points of intersection with a horizontal line.

D. A "V-shaped" graph that will generally have two points of intersection with a horizontal line (only one at the vertex).

7 0
3 years ago
Read 2 more answers
In the diagram below, AC and CB, AB and CD, and m(angle)A=33 degrees. Find M(angle)B
hoa [83]

Answer:

15°.

Step-by-step explanation:

1. Angles ADC and CDB are supplementary, thus

m∠ADC+m∠CDB=180°.

Since m∠ADC=115°, you have that m∠CDB=180°-115°=65°.

2. Triangle BCD is isosceles triangle, because it has two congruent sides CB and CD. The base of this triangle is segment BD. Angles that are adjacent to the base of isosceles triangle are congruent, then

m∠CDB=m∠CBD=65°.

The sum of the measures of interior angles of triangle is 180°, therefore,

m∠CDB+m∠CBD+m∠BCD=180° and

m∠BCD=180°-65°-65°=50°.

3. Triangle ABC is isosceles, with base BC. Then

m∠ABC=m∠ACB.

From the previous you have that m∠ABC=65° (angle ABC is exactly angle CBD). So

m∠ACB=65°.

4. Angles BCD and DCA together form angle ACB. This gives you

m∠ACB=m∠ACD+m∠BCD,

m∠ACD=65°-50°=15°.

Have a good Day!

7 0
2 years ago
Each day a small business owner sells 200 pizza slices at $3.00 per slice and 85 sandwiches at $2.50 each. Business expenses com
klio [65]

How much are the owner's expenses for 10 days?

10 * 130 = $1300

 

How much money does the owner make selling pizzas per day?

200 * 3 = $600

 

How much money does the owner make selling sandwiches per day?

85 * 2 = $170

 

In one day, the owner sells 600 + 170 = $770 worth of pizza and sandwiches

 

Over the course of ten days, that is 10 * 770 = $7700

 

Profit = revenue - cost = 7700 - 1300 = $6400


There ya go

5 0
3 years ago
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