MATHEMATICS
MIDDLE SCHOOL

Tessa says that -10k^2-7k+12−10k2−7k+12 is divisible by 4-5k4−5k.

Who is correct?

A. both

B. Tessa

C. Li min

D. Neither

Answer:

Answer:

B. Tessa

Step-by-step explanation:

(2k + 2)(4 - 5k) = -10k² - 7k +12

Tessa

(-10k² - 7k +12)/(4 - 5k) = [(2k + 2)(4 - 5k)]/(4 - 5k)

= 2k + 2

Tessa is correct. -10k² - 7k + 12 is divisible by 4 - 5k because the division is exact with no remainder.

Li Min

Li Min has it wrong. 4 - 5k is a factor of -10k² - 7k + 12, not the other way around.

Answer: I think is Tessa because of the divisible

HIGH SCHOOL

the profit for a taco truck business follows this function, where x is the price of a taco(in dollars) and y is the daily profit(in hundreds of dollars):y=-2(x-2)^2+4. find and interpret the zeros of this function. HINT: replace y with 0 and solve for x

Answer:

Step-by-step explanation:

y = -2(x - 2)² + 4

0 = -2(x - 2)² + 4

÷-2 ÷-2 ÷-2

0 = (x - 2)² - 2

+2 +2

2 = (x - 2)²

+/- = x - 2

+2 +2

= x

Answer:

x = √2 + 2, -√2 + 2

Step-by-step explanation:

y = -2(x-2)² + 4

-2(x-2)² + 4 = 0 --- replace y with 0

-2(x - 2)² = -4 --- subtract 4 from both sides

(x - 2)² = --- divide both sides by -2

(x - 2)² = 2 --- simplify

x - 2 = +-√2 --- square root both sides

x - 2 = √2 --- split into 2 equations

x - 2 = -√2

x = √2 + 2 --- solve first equation

x = -√2 + 2 --- solve second equation

x = √2 + 2, -√2 + 2

MIDDLE SCHOOL

Susan joined a video rental club. She paid an initiation fee of $12.75, and it costy $0.75 per video that she rented. Part A:-write an equasion to show the total amount susan paid to rent v videos.

Part B:-while she was a member of the club , susan paid a total of $105.75. how many videos did she rent?

So initiation fee is 12.75

0.75 per video so

total cost = iniation fee+0.75 times number of videos or

total cost=12.75+0.75 times v

0.75 times v=0.75v so

total cost=12.75+0.75v

if total cost=105.75 then subsitute

105.75=12.75+0.75v

subtract 12.75 from both sides

93=0.75v

multiply both sides by 100 to clear decimal

9300=75v

divide both sides by 75

124=v

she rented 124 videos

A:total=12.75+0.75v

B:124 videos

0.75 per video so

total cost = iniation fee+0.75 times number of videos or

total cost=12.75+0.75 times v

0.75 times v=0.75v so

total cost=12.75+0.75v

if total cost=105.75 then subsitute

105.75=12.75+0.75v

subtract 12.75 from both sides

93=0.75v

multiply both sides by 100 to clear decimal

9300=75v

divide both sides by 75

124=v

she rented 124 videos

A:total=12.75+0.75v

B:124 videos

Answer: I know this isnt and answer but can you plleassse do Part C

Question: Suppose Sierra had rented the same number of videos with the same initiation fee, but the coast was instead $0.95 per video she rented. What would she have paid in total?

Step-by-step explanation:

HIGH SCHOOL

Lines are perpendicular when the slopes are _____

... negative reciprocals of each other.

___

Lines are perpendicular when the product of their slopes is -1 (or when one is vertical and the other is horizontal).

___

Lines are perpendicular when the product of their slopes is -1 (or when one is vertical and the other is horizontal).

MIDDLE SCHOOL

Take 2y^3-3y-5 from y^3-6y^2+5y

Take 2y^3-3y-5 from y^3-6y^2+5y

so

y^3- 6y^2+ 5y - (2y^3-3y-5)

= y^3 - 6y^2 + 5y - 2y^3 + 3y + 5

= -y^3 - 6y^2 + 8y + 5

hope it helps

so

y^3- 6y^2+ 5y - (2y^3-3y-5)

= y^3 - 6y^2 + 5y - 2y^3 + 3y + 5

= -y^3 - 6y^2 + 8y + 5

hope it helps

MIDDLE SCHOOL

Write the next three numbers in the pattern.

6, 4, 0, -6, ...

...-14, - 24, - 36

Step-by-step explanation:

6, 4, 0, -6...

If you notice, the difference between 6 and 4 is; -2, the difference between 4 and 0 is; -4, and the difference between 0 and -6 is; -6.

Notice the pattern of these differences; -2, -4, -6

They all have a -2 difference to go to the next. Therefore the next three differences will be;

-8, - 10, -12

We'll add these differences to the last number in our sequence beginning with 6;

-6 + (-8) = - 14

-14 + (-10) = - 24

-24 + (-12) = - 36

Therefore the next numbers in the sequences will be;

-14, - 24, - 36

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MIDDLE SCHOOL

Standard form of 4+5/10+7/100+9/1000

the answer in standard form is 4.579

9/17/109/1000 is your answer to your question

HIGH SCHOOL

A standard number cube is tossed x times. how many different outcomes are possible?

6 outcomes are possible if i am correct !

HIGH SCHOOL

30 pts.!!!! Luis can spend up to $240 buying men’s and women’s shirts for his club. Men’s shirts cost $8 each and women’s shirts cost $12 each. He needs to buy at least 3 men’s shirts and at least 8 women’s shirts. Also, the women’s shirts must be at least twice the number of men’s shirts. X represents the number of men’s shirts and y represents the number of women’s shirts.Which constraints provide the feasible region for this scenario? (4 constraints) *

x≥8

y≥8

x≤3

x≥3

8x +12y ≥ 240

8x + 12y ≤ 240

y ≤ 2x

y ≥ 2x

x≥3

y≥8

8x + 12y ≤ 240

y ≥ 2x

COLLEGE

A piece of string is 325 centimeters long. You need the string to be 114 meters long. How many centimeters should you cut off?

There are 100 centimeters in 1 meter.1 and 1/4 meters can also be written as 1.25, since 1/4 = 0.25.To find the answer, convert 1.25 meters to centimeters.

1 meter = 100 centimeters1.25 meters = x centimeters1.25 is 125% of 1. In other words, there is a 25% increase.

Now apply this increase to the centimeters side.125% = 1.251.25 • 100 = 125

So 1.25 meters (1 and 1/4 meters) equals 125 centimeters.

The string is 325 centimeters.In order for the string to be 125 centimeters, you need to cut some off.To find how much you need to cut off, subtract 125 from 325.325 - 125 = 200

Answer: In order for your string to be 1 and 1/4 meters, you must cut 200 centimeters off the original 325 centimeter long string.