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2 years ago

Which polynomial is in standard form? 2xy^3 +3x^3 y^4 -4x^4 y^5 +9x^5 y^6 Which polynomial is in standard form?

Mathematics

1 answer:

andrezito [222]2 years ago

5 0

Answer:

(D) $5x^7y^2+7x^6y^5-14x^3y^7+51x^2y^9$

Step-by-step explanation:

A polynomial is said to be in standard form when it is arranged in descending powers of x.

When there are more than one variable, the alphabetical order is followed. For example, if there are variables x and y in the polynomial, x must be in descending order and y will be in ascending order.

From the given options, the polynomial which is in standard form is:

$5x^7y^2+7x^6y^5-14x^3y^7+51x^2y^9$

The correct option is D.

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Lines k and p are perpendicular, neither is vertical and p passes through the origin. Which is greater? A. The product of the sl

AlladinOne [14]

What do we know about those two lines?

They are perpendicular, meaning they have the same slope.
We know the slope of both is not zero (neither is vertical).
Therefore either
1) Both slopes are positive and therefore the product is positive
2) Both slopes are negative and therefore the product is positive (minus by a minus is a plus)

For the y intercepts, we know that the line P passes through the origin.
Therefore its Y intercept is zero.
[draw it if this is not obvious and ask where does it cross the y axis]
Therefore the Y intercept of line K and line P is zero.
[anything multiplied by a zero is a zero]

So we know that the product of slopes is positive, and we know that the product of Y intercepts is zero.
So the product of slopes must be greater.
Answer A

4 0

3 years ago

If F(x) = log 5 2x, find F^-1(x). a. 5^y=2x b. 5^2y=x c. y = (5^x)/2

gregori [183]

Answer:

y = $\frac{5^{x} }{2}$

Step-by-step explanation:

y = log 5 2x

inverse ------> y=x

x = log 5 2y

$5^{x} = 2y$

y = $\frac{5^{x} }{2}$

4 0

3 years ago

Which number is 5.389 rounded to the nearest hundredth? A 5.4 B 5.38 © 5.39 05.399

ankoles [38]

Answer:

c) 5.39

Step-by-step explanation:

The digit that is in the hundredths place is the 8. (The hundredths are two digits to the right of the point).

The thousandths in this case would be the 9, since the 9 is close to the next hundredth, the nearest hundredth would be 9 (adding 1 to the 8), therefore the number would be 5.39

7 0

3 years ago

Which of the ordered pairs below could be in this Function?

DochEvi [55]

I believe it is.... (2,2)or(4,4)

6 0

3 years ago

Help pls, math due tonight :(

Olenka [21]

9514 1404 393

Answer:

40 ft
t = 1 second

Step-by-step explanation:

A graphing calculator answers these questions easily.

The ball achieves a maximum height of 40 ft, 1 second after it is thrown.

The equation is usefully put into vertex form, as the vertex is the answer to the questions asked.

h(t) = -16(t^2 -2t) +24

h(t) = -16(t^2 -2t +1) +24 +16 . . . . . . complete the square

h(t) = -16(t -1)^2 +40 . . . . . . . . . vertex form

Compare this to the vertex form:

f(x) = a(x -h)^2 +k . . . . . . vertex (h, k); vertical stretch factor 'a'

We see the vertex of our height equation is ...

(h, k) = (1, 40)

The ball reaches a maximum height of 40 feet at t = 1 second after it is thrown.

8 0

3 years ago