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3 years ago

Decide whether the given expression is a polynomial and tell why or why not.

Mathematics

1 answer:

HACTEHA [7]3 years ago

3 0

Answer:

3x² – 5x + 2 is a polynomial because:

Exponents are whole numbers, and the expression has at least 1 term.

Exponents other than whole numbers can take the form of variables in denominators, and roots which we don't want.

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Answer and how to do it

ollegr [7]

Answer:

$(x - 9)^2 + y^2 = 36$

Step-by-step explanation:

The equation of a circle in standard form is

$(x - h)^2 + (y - k)^2 = r^2$

You are given

$x^2 + y^2 - 18x + 45 = 0$

In order to put the equation in standard from, we need to complete the square. Since there is no y term, the y part is simply y^2, and there is no need to complete the square for y. For x, we do have an x term, so we must complete the square in x.

Start by grouping the x terms and subtracting 45 from both sides.

$x^2 - 18x + y^2 = -45$

Now we need to complete the square for x.

$x^2 - 18x ~~~~~~+ y^2 = -45$

The number that completes the square will go in the blank above, and it will also be added to the right side of the equation.

To find the number you need to add to complete the square, take the coefficient of the x term. It is -18. Divide it by 2. You get -9. Now square -9 to get 81. The number that completes the square in x is 81. Now you add it to both sides of the equation.

$x^2 - 18x + 81 + y^2 = -45 + 81$

$(x - 9)^2 + y^2 = 36$

Answer: $(x - 9)^2 + y^2 = 36$

6 0

3 years ago

Here’s a graph of a linear function. Write the equation that describes that function. Express it in slope-intercept form.

Ipatiy [6.2K]

Answer:

y=4x-1

Step-by-step explanation:

Slope-intercept form is written in y=mx+b

*m=slope

*b=y-intercept

From what I see,

the line hits the points (0,-1) and (1,3)

Slope is the rise (change in the y-coordinate) of the line divided by the run (change in the x-coordinate).

4÷1=4

Slope=4

y=4x+b now

The y-intercept is the value of y when the line meets the y-axis

It seems to meet at (0,-1)

So we end up with...

y=4x-1 as our equation

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3 years ago

Suppose a normal distribution has a mean of 26 and a standard deviation of 4. What is the probability that a data value is betwe

lions [1.4K]

Answer:

20.3%

Step-by-step explanation:

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3 years ago

Kara rode her bike to the store and bought two baskets of apples and a basket of grapefruit each basket of apples cost $6.75 and

Romashka [77]

she has to pay $ 21.39

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3 years ago

Read 2 more answers

Three apples and two bananas cost 2.00. four apples and four bananas cost 3.00. what is the cost of one apple?

Paraphin [41]

50 cents is the answer :)

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3 years ago