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3 years ago

What is the equation of the line in slope intercept form?

Mathematics

1 answer:

Debora [2.8K]3 years ago

3 0

The correct answer is D. Y=-1/3x-7
you can also look this up on desmos.com/calculator to be 100% sure!

i got D because the y-axis hits on -7 and the slope is negative so it can’t be A. it can’t be B either because the y-intercept is a +7. and it can’t be C because when doing rise/run, the slope isn’t going up/down 3. it is going up/down 1 and over 3.

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The maritime museum has 100 ship models. Visitors can see 90% of the ships in a special exhibit. How many ships can visitors see

DochEvi [55]

90% of 100 = 0.9 x 100 = 90

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Answer: The visitor can see 90 ships.
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4 0

2 years ago

A number is divisible by ______ if the last two digits form a number divisible by four

icang [17]

Answer:

B. 4

Step-by-step explanation:

Whole numbers are divisible by 4 if the number formed by the last two individual digits is evenly divisible by 4.

7 0

3 years ago

Read 2 more answers

Find the partial fraction decomposition of the rational expression with prime quadratic factors in the denominator

SpyIntel [72]

$\dfrac{5x^4-7x^3-12x^2+6x+21}{(x-3)(x^2-2)^2}=\dfrac{a_1}{x-3}+\dfrac{a_2x+a_3}{x^2-2}+\dfrac{a_4x+a_5}{(x^2-2)^2}$
$\implies 5x^4-7x^3-12x^2+6x+21=a_1(x^2-2)^2+(a_2x+a_3)(x-3)(x^2-2)+(a_4x+a_5)(x-3)$

When $x=3$ , you're left with

$147=49a_1\implies a_1=\dfrac{147}{49}=3$

When $x=\sqrt2$ or $x=-\sqrt2$ , you're left with

$\begin{cases}17-8\sqrt2=(\sqrt2a_4+a_5)(\sqrt2-3)&\text{for }x=\sqrt2\\17+8\sqrt2=(-\sqrt2a_4+a_5)(-\sqrt2-3)\end{cases}\implies\begin{cases}-5+\sqrt2=\sqrt2a_4+a_5\\-5-\sqrt2=-\sqrt2a_4+a_5\end{cases}$

Adding the two equations together gives $-10=2a_5$ , or $a_5=-5$ . Subtracting them gives $2\sqrt2=2\sqrt2a_4$ , $a_4=1$ .

Now, you have

$5x^4-7x^3-12x^2+6x+21=3(x^2-2)^2+(a_2x+a_3)(x-3)(x^2-2)+(x-5)(x-3)$
$5x^4-7x^3-12x^2+6x+21=3x^4-11x^2-8x+27+(a_2x+a_3)(x-3)(x^2-2)$
$2x^4-7x^3-x^2+14x-6=(a_2x+a_3)(x-3)(x^2-2)$

By just examining the leading and lagging (first and last) terms that would be obtained by expanding the right side, and matching these with the terms on the left side, you would see that $a_2x^4=2x^4$ and $a_3(-3)(-2)=6a_3=-6$ . These alone tell you that you must have $a_2=2$ and $a_3=-1$ .

So the partial fraction decomposition is

$\dfrac3{x-3}+\dfrac{2x-1}{x^2-2}+\dfrac{x-5}{(x^2-2)^2}$

7 0

3 years ago

Jenny can type 1,200 words in just 15 minutes. How many words can she types in anhour?

seropon [69]

She can type 4,800 words in one hour.

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2 years ago

WHOEVER ANSWERS FIRST WITH A SERIOUS QUESTION WILL GET BRAINLIEST

shusha [124]

Answer: See Explanation

Step-by-step explanation:

Take the amount of money and divide by the ounces for how much it costs per ounce

1.35 / 12 = 0.1125 per ounce

2.10 / 20 = 0.105 per ounce

3.60 / 32 = 0.1125 per ounce

The Big Swig would be the best deal because the cost per ounce is the lowest, getting you the cheaper price for a good size. I believe I did this right, hope I could help.

6 0

2 years ago