# (2k+3)(4−5k)=−10k2−7k+12 Li Min says that -10k^2-7k+12−10k2−7k+12 is a factor of 4-5k4−5k. 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

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

## Related Questions

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

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

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

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

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:

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).

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

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

the answer in standard form is 4.579

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

6 outcomes are possible if i am correct !

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

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