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3 years ago

Which of these are quadratic function(s)? (Select all that apply).

2 answers:

4 0

A. $y(y+4)-y=6$
$y^2+4y-y-6=0$
$y^2+3y-6=0$

B. $(3x+2)+(6x-1)=0$
$3x+2+6x-1=0$
$9x+1=0$

C. $4b*b=0$
$4b^2=0$

D. $3a-7=2(7a-3)$
$3a-7=14a-6$
$11a+1=0$

The answers: A, C

Greetings from Poland :)

melisa1 [442]3 years ago

3 0

Answer:

A function is called Quadratic if ,it consist of only one variable, maximum of three terms, and highest degree of the variable in that Polynomial is 2.

Let start from option 1

A. y *(y+4) - y =6

y² + 4 y - y -6=0

y²+3 y -6=0

This is Quadratic Function.

Option B:

3 x +2 + 6 x -1=0

9 x-1=0

Not, Quadratic Function

Option C:

4 b*(b)=0

4 b²=0

This is Quadratic Function.

Option D:

3 a- 7 =2 * (7 a-3)

3 a - 7=14 a - 6

3 a - 14 a = 7 -6

-11 a =1

Not a Quadratic Function.

Option A : y(y + 4) - y = 6

And, Option C: 4 b (b)=0

are Quadratic Functions.

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from the diagram you can see that r = 4

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3 years ago

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The scale of a town map is 1 inch to 4 miles. On the map, the park and the airport are 6 inches apart. What is the actual distan

kenny6666 [7]

Answer:

24 miles because 4x6=24 and 1 inch is 4 miles so if it were 6 inches the distance would be 24 miles

Step-by-step explanation:

4x6=24 and 1 inch is 4 miles so if it were 6 inches the distance would be 24 miles

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3 years ago

A single die is rolled twice. Find the probability of rolling an odd

melisa1 [442]

Step-by-step explanation and answer:

The 6 sides of the die are numbered 1,2,3,4,5,6

There are 3 odd and 3 even numbers

probability of an odd number on 1st roll is:

3/6=1/2

When you want A AND B probabilities, you multiply

the events A and B

The number less than 3 are 1,2, so the probability is:

2/6=1/3

so the probability of both events are going to be:

(1/2) *(1/3)=1/6

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3 years ago

The probability that an Oxnard University student is carrying a backpack is .70. If 10 students are observed at random, what is

Rus_ich [418]

Answer:

35.03% probability that fewer than 7 will be carrying backpacks

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are carrying a backpack, or they are not. The probability of a student carrying a backpack is independent from other students. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The probability that an Oxnard University student is carrying a backpack is .70.

This means that $p = 0.7$

If 10 students are observed at random, what is the probability that fewer than 7 will be carrying backpacks

This is $P(X < 7)$ when $n = 10$ . So

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.7)^{0}.(0.3)^{10} = 0.000006$

$P(X = 1) = C_{10,1}.(0.7)^{1}.(0.3)^{9} = 0.0001$

$P(X = 2) = C_{10,2}.(0.7)^{2}.(0.3)^{8} = 0.0014$

$P(X = 3) = C_{10,3}.(0.7)^{3}.(0.3)^{7} = 0.0090$

$P(X = 4) = C_{10,4}.(0.7)^{4}.(0.3)^{6} = 0.0368$

$P(X = 5) = C_{10,5}.(0.7)^{5}.(0.3)^{5} = 0.1029$

$P(X = 6) = C_{10,6}.(0.7)^{6}.(0.3)^{4} = 0.2001$

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.000006 + 0.0001 + 0.0014 + 0.0090 + 0.0368 + 0.1029 + 0.2001 = 0.3503$

35.03% probability that fewer than 7 will be carrying backpacks

4 0

4 years ago

Find the area of the polygon.

Margarita [4]

Answer:

240

Step-by-step explanation:

Hello There!

Note: the little arrows indicate that the line can be extended and it's opposite side will never touch indicating that it's a parallelogram

The formula for area of a parallelogram is

$A=bh$

where b = base and h = height

the given dimension are

height = 15

base = 16

so all we have to do is plug in the values into the formula

$A=(15)16\\15*16=240\\A=240$

so we can conclude that the area of the polygon is

240 square units

8 0

3 years ago