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3 years ago

In which quadrant will the point lie if ordinate is 3 and abscissa is -7

Mathematics

1 answer:

USPshnik [31]3 years ago

6 0

Answer:

2nd Quadrant

Step-by-step explanation:

ordinate = y cordinate

abcissa = x cordiante

(-7,3)

( -,+) lies in second quadrant)

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Find a polynomial function f(x) of degree 3 with real coefficients that satisfies the following conditions.

frosja888 [35]

Answer:

The polynomial will be $f(x) = \frac{4}{9}x(x - 2)^{2}$ .

Step-by-step explanation:

The three degree polynomial function f(x) has zeros at x = 0 and at x = 4 having multiplicity 2.

Therefore, (x - 0) and (x - 4)² will be factors of the polynomial f(x).

Hence, the polynomial will be f(x) = Ax(x - 4)² .............. (1), where A is any constant that we have to evaluate.

Now, given that f(5) = 20

So, from the equation (1) we have

20 = A(5)(5 - 2)²

⇒ $A = \frac{4}{9}$

Therefore, the polynomial will be $f(x) = \frac{4}{9}x(x - 2)^{2}$ (Answer)

4 0

4 years ago

HELP PLEASE!! Which of the following best describes the graph below? A. it us a one-to-one function B. it us a function but it i

masha68 [24]

The correct statement regarding the function $y = \sqrt{x + 2}$ is given by:

A. it us a one-to-one function.

<h3>What is the missing information?</h3>

This problem is incomplete, but researching it on the internet, the function used is $y = \sqrt{x + 2}$ .

<h3>Is it a function?</h3>

For $y = \sqrt{x + 2}$ , each value of x is associated with only one value of y, that is, the graph has <u>no vertically aligned points</u>, hence it is a function.

<h3>Is the function one-to-one?</h3>

Each value of y is also associated with only one value of x, that is, the graph has <u>no horizontally aligned points</u>, hence it is a one-to-one function, and the correct statement is given by:

A. it us a one-to-one function.

More can be learned about functions at brainly.com/question/24808124

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2 years ago

Tasha says that the expression 6.8w-4.7 can be simplified as 2.1w. Her teacher explains that this is not correct. What mistake d

tatuchka [14]

Answer: She combined unlike terms.

Step-by-step explanation:

You can only combine like terms. If a number has a variable, you must make sure that the number you're operating it with has the same variable raised to the same power (if applicable)

6.8w-4.7 is in its simplest form.

To be able to subtract these, 4.7 must have a ''w'' variable as follows;

6.8w-4.7w=2.1w

7 0

3 years ago

A state administered standardized reading exam is given to eighth grade students. The scores on this exam for all students state

Lorico [155]

Answer:

$a=502 +1.28*81=605.68$

So the value of height that separates the bottom 90% of data from the top 10% is 605.68.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(502,81)$

Where $\mu=502$ and $\sigma=81$

We want to find a value a, such that we satisfy this condition:

$P(X>a)=0.1$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.9 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1

If we use condition (b) from previous we have this:

$P(X$