MATHEMATICS MIDDLE SCHOOL

Which can is the polynomial function of the lowest degree with rational real coefficients, a leading coefficient of 3 and roots 5 and 2

Answers

Answer 1
Answer:

Answer:

y = 3x² - 21x + 30

Step-by-step explanation:

given the polynomial has roots x = 5 , x = 2 , then

(x - 5) and (x - 2) are factors and

y = a(x - 5)(x - 2) ← a is a multiplier

here a = 3

y = 3(x - 5)(x - 2)

  = 3(x² - 7x + 10) = 3x² - 21x + 30
Answer 2
Answer:

Answer:

Y = 3x2 - 21x + 30

Step-by-step explanation:

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Felipe drinks 4
pints of milk a day. How much is this in cups?
Use the table below. Include the correct unit in your answer.

Answers

there are two cups in a pint so if you have four pints then that'll be eight cups.

A cell doubles every 15 minutes. If there is 1 cell at noon, how many cells will there be at 3 p.m.? Show work.

Answers

12:15 - 1+1 = 2
12:30 - 2 + 2 = 4
12:45 - 4 + 4 = 8
1 - 8 +8 = 16
1:15.......
.......
3 - 4096
okay so there is 1 cell and it starts doubling at 12:00 every 15 minutes that is 4 times every hour and there is three hours so 4 x 3 = 12 so it doubles 12 times then 12 x 2 = 24 so at 3pm that cell would have multiplied it self into 24 other cells 

A bag contains only red and blue marbles. Yasmine takes one marble at random from the bag. The probability that she takes a red marble is 1 in 5. Yasmine returns the marble to the bag and adds five more red marbles to the bag. The probability that she takes one red marble at random is now 1 in 3. How many red marbles were originally in the bag?

Answers

There was one red marble because it said that the probability of choosing a red marble is 1/5 so the other marbles are blue. 
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A lawn sprinkler spins in a circle. The sprinkler covers a radius of 4 feet. Which choice is the closest to the area of lawn that the sprinkler can cover? 13 25 50 or 200..

Answers

The required area that the sprinkler will cover is 50 square feet. Option C is correct.

As mentioned in the question, a lawn sprinkler spins in a circle. The sprinkler covers a radius of 4 feet.

What is surface area?

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

Here,
Area of the sprinkler,
=  area of the circle
= πr²
= 3.14 × 4²
= 50.24
≈50
                               

Thus, the required area that the sprinkler will cover is 50 square feet. Option C is correct.

Learn more about the surface area here: brainly.com/question/2835293

#SPJ2
When you are trying to cover something,it would be AREA not Circumference since Circumference is the outside of a circle.Area is inside of a circle,so the formula for area is:pix4² which will equal,16pi or 50.26548246 so the closest area of lawn that the sprinkler can cover is 50.

£2000 is invested in a savings account. Compound interest at 2.1% P.A.How much interest will be paid after two years?

A) £4 B) £5.20 C) £2.44 D) £84.88

Answers

\sf\ 2.1\ percent\ interest\ P.A.\ means\ annually.\ Annually\ means\ every\ year.\n\n The\ question\ requires\ a\ compound\ interest\ formula.\n\n\ The\ formula\ is\n{\boxed{A=P(1+ (r)/(n))^n^t}



\sf\ P\ =\ principal\ amount\ (2000)\n\n r\ =\ annual\ rate\ of\ interest\ (.021)\n\n t\ =\ number\ of\ years\ the\ amount\ is\ deposited\ or\ borrowed\ for\ (2)\n\n A\ =\ amount\ of\ money\ accumulated\ after\ n\ years,\ including\ interest\ (?)\n\n n\ =\ number\ of\ times\ the\ interest\ is\ compounded\ per\ year\ (1)\n\n\n\nA=P(1+ (r)/(n))^n^t\n\nA=2000(1+ (.021)/(1))^2\n\nA=2000(1.021)^2\n\nA=2000(1.042441)\n\n\A=2084.882\n\n\n\ To\ find\ the\ amount\ of\ interest:\n2084.882-2000=84.882=\n\n{\boxed{84.88}



\boxed{\sf\ Answer:\ D}

pleeeeeeeease help me im so confused!!!  m has put $500 into a savings account that pays her 2% annual interest, how much will her $500 be worth after 2 months?

Answers

so m puts in 500 dollars
it's 2% or 2/100 in a year or 12 months
so in 2 months or 1/6 year
she will get 2/600=0.33%
so 0.33% of 500=1.6666
1.6666+500=501.666
that's great considering that after 4 years saving at wells fargo I only got 16  cents interest
first form an equation: 500+(500*0.02x)=y
2% is the annual interest so 2 months would be 1/6 (of 2%.
2% of $500 is $10. 1/6 of of $10 is $1.67.
Add that to your initial $500, and you get $501.67, so your $500 dollars will be worth $501.67 after 2 months
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