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3 years ago

Which statement best demonstrates why the following is a non-example of a polynomial?

1 answer:

6 0

The following statements demonstrates why the following is a non-example of a polynomial.
1. The expression has a variable raised to a negative exponent.
2. The expression has a variable in the denominator of a fraction.
3. The expression has a variable raised to a fraction.

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Points J, K and L are distinct points, and JK = KL. Which of these statements must be true?

Hoochie [10]

* J,K,&L are coplanar

* K is the midpoint of JL

* J,K,&L are collinear

* Jk=KL

4 0

2 years ago

Clarissas team collects m magazines for the recycling drive JoAnn team collects 3 times as many

Mamont248 [21]

Answer:

Clanssa’s team collects m magazines for the recycling drive. JoAnn’s team collects 3 times as many magazines as Clarissa’s team. JoAnn’s team collects a total of 654 magazines.

Step-by-step explanation:

6 0

2 years ago

If y varies directly with x and y is 10 when x is 5 then what is y when x is 2

vova2212 [387]

Answer:

y is 4

Step-by-step explanation:

so the equation is y = kx ( k is the constant)

We've been given x as 5 & y as 10 so we can use these values to find the constant .

10 = k(5)

k = 2

so now , we can find y

y = 2 × 2

y = 4

8 0

2 years ago

Shota invests $2000 in a certificate of deposit that earns 2% in interest each year.Write a function that gives the total v(t) i

brilliants [131]

Answer:

The correct answer is v(t) = (principal × time × 0.02) if calculated simply and v(t) = Principal × $( 1.02) ^ {time}$ where v(t) is the interest after t years .

Step-by-step explanation:

Principal amount invested by Shota is $2000.

Interest is earned at 2% per year.

Time for which the principal is invested is t years.

Therefore let the total interest be v(t) dollars in t years.

Case 1: Simple Interest.

v(t) = (principal × time × $\frac{r}{100}$ ) = (2000 × t × 0.02) = 40t

Case 2: Compound Interest.

v(t) = Principal × $( 1+ \frac{r}{100}) ^ {t}$ - Principal = 2000 × $( 1.02) ^ {t}$ - 2000.

7 0

3 years ago

Meg rowed her boat upstream a distance of 32 mi and then towed back to the starting point. The total time of the trip was 18 hou

denpristay [2]

Answer: the average speed of the boat relative to the water is 9 mph

Step-by-step explanation:

Let x represent the speed of the boat.

The rate of the current was 7 mph,

Assuming the boat travelled against the current while going upstream, the total speed would be x - 7

Assuming the boat in the direction of the current while going downstream, the total speed would be x + 7

Time = speed × time

Since she travelled 32 miles upstream and 32 miles downstream, then,

Time taken to go upstream = 32/(x -7)

Time taken to go downstream = 32/(x + 7)

Since the total time of the trip was 18 hours, then

32/(x -7) + 32/(x + 7) = 18

Cross multiplying by (x - 7)(x + 7), it becomes

32(x + 7) + 32(x - 7) = 18[(x - 7)(x + 7)

32x + 224 + 32x - 224 = 18(x² + 7x - 7x - 49

32x + 32x = 18x² - 882

18x² - 64x - 882 = 0

Dividing through by 2, it becomes

9x² - 32x - 441 = 0

9x² + 49x - 81x - 441 = 0

x(9x + 49) - 9(9x + 49) = 0

x - 9 = 0 or 9x + 49 = 0

x = 9 or x = - 49/9

Since the speed of the boat cannot be negative, then x = 9

3 0

3 years ago