MATHEMATICS HIGH SCHOOL

Kirby places frog and Beth's snail on point 0 in on the number line. As Beth's snail slowly slimed forward in the positive direction, Kirby's frog hopped in the opposite direction. By the time Beth's snail reached the number 2, Kirby's frog me four jumps, each 3 units long. How far apart are the snail and the frog at this point?

Answers

Answer 1

Answer:

That picture doesn't have anything to do with the problem.

Snail went right, into positive numbers, frog went left, negative numbers. Their distance is the absolute difference.

d = | 2 - 4(-3) | = | 14 | = 14

Answer: 14

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Simply isolate y by subtracting the 4x to the other side: y=-4x-10

I may be wrong but im pretty sure function form is: f(x)= 4x-10

The Ferris wheel makes 12 revolutions per ride how far would someone travel during one ride

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question how much distance is in each revolvison

What are the zeros of the function? what are their multiplicities? f(x)=x^4-4x^3+3x^2

Answers

f ( x ) = x² ( x² - 4 x + 3 ) =
= x² ( x² - 3 x - x + 3 ) =
= x² ( x ( x - 3 ) - ( x - 3 ) ) =
= x² ( x - 3 ) ( x - 1 ) = 0
x² = 0 ⇒ x = 0
x - 3 = 0 ⇒ x = 3
x - 1 = 0 ⇒ x = 1
The zeroes of the function are: x = 0, x = 1 and x = 3.
Answer:
B ) The number 0 is a zero of multiplicity 2; the numbers 1 and 3 are zeroes of the multiplicity 1.

Any number that is divisible by 2 is also divisible by 8.Find a counterexample to show that the conjecture is false.
24
32
28
16

Answers

28

28/8=3.5

...................

You don't have to go any further than 2 itself.

All of the even numbers that are not multiples of 8 are counterexamples.

28 is a good one.

A recipe that makes 8 servings calls for 2/5 cup of flour. Jeff modifies the recipe so that it can serve 10. How many cups of flour does Jeff need?

A. 4 4/5

B. 1 1/4

C. 3/4

D. 12/25

Answers

THE CORRECT ANSWER IS C

A rectangular field has an area of 1,764 m2. The width of the field is 13 m more than the length. What is the perimeter of the field?

Answers

Answer:

170.

Step-by-step explanation:

We have that A = W*L where A= Area, W= width, L=length and that W = 13+L. So,

A = (13+L)*L

1764 = 13L + L^2

L^2 + 13L - 1764 = 0.

We use the general formula in the image where a=1, b=13 and c= -1764.

$L1= \frac{-13+\sqrt[2]{169-4*(-1764)} }{2}$

$L1= \frac{-13+\sqrt[2]{7225} }{2}$

$L1= (-13+85)/(2)$

$L1= 36.$

$L2= \frac{-13-\sqrt[2]{169-4*(-1764)} }{2}$

$L2= (-13-85)/(2)$ , this result will be negative and the problem is about length so it doesn't apply for this problem. We use L1= 36.

Then, L=36, W = 13 + 36 = 49. Therefore, the perimeter is 2L+2W = 72+98=170.

Hello,
Here in France we call length the greater side of a rectangle.
So:
Let a the greater side
b the shortest

a=b+13
a*b=1764
==>b*(b+13)=1764
==>b²+13b-1764=0
==>b=(-13-85)/2 to exclude
or (b=(-13+85)/2=36 and a=36+13=49)

P=2(a+b)=2(36+49)=170 (m)
Proof:
49-36=13
36*49=1764

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