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3 years ago

What is the slope of the following equation?

Mathematics

2 answers:

snow_lady [41]3 years ago

8 0

The answer is -2/3. Option D

NemiM [27]3 years ago

6 0

It’s D

the number -2/3 next to x is always the slope but the -1 is alone so it the y-intercept

You might be interested in

Given sin theta = 2/5 and 0 theta 90 find sin 2 theta

Liono4ka [1.6K]

Given: sin theta = 2/5. This tells us that the lengths of the opp side and the hyp are 2 and 5 respectively. The adj side is found using the Pyth. Thm.: 5^2-2^2= 25-4 = 21, so that the adj side is sqrt(21).

The double angle formula for the sine is sin 2theta = 2 sin theta *cos theta.

In this particular problem, the sine of 2theta is 2*(2/5)*[sqrt(21) / 5], or:

(4/25)*sqrt(21).

6 0

4 years ago

Read 2 more answers

Target is having a huge winter season sale on all of their televisions. A 42in screen tv that usually retails at $580 is marked

torisob [31]

Answer: You do not because the tv costs $464.

Step-by-step explanation:

First find out how much 20% of 580 is:

= 20% * 580

= $116

The television was therefore marked down by $116. The current selling price is:

= 580 - 116

= $464

<em>Since you came with $450, you will not be able to buy the television as you would be short of the $464 required. </em>

3 0

3 years ago

Hi guys can someone please help me with these questions please

Zinaida [17]

Hi There!

----------------------------------

Question 2:

Obviously the right equation for this question is Point Slope Form.

Point Slope Form: y - y1 = m(x - x1)

y1 = -1

x1 = 3

m = 2

Question 2 Answer: y + 1 = 2(x - 3)

----------------------------------

Question 3:

Again use point slope form.

Find Slope:

7 - 1 = 6

-2 - 1 = -3

6/-3 = -2

Question 3 Answer: y - 1 = -2(x - 1)

----------------------------------

Hope This Helps :)

6 0

3 years ago

If f (n)(0) = (n + 1)! for n = 0, 1, 2, , find the taylor series at a=0 for f.

Pie

Given that $f^{(n)}(0)=(n+1)!$ , we have for $f(x)$ the Taylor series expansion about 0 as

$f(x)=\displaystyle\sum_{n=0}^\infty\frac{(n+1)!}{n!}x^n=\sum_{n=0}^\infty(n+1)x^n$

Replace $n+1$ with $n$ , so that the series is equivalent to

$f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}$

and notice that

$\displaystyle\frac{\mathrm d}{\mathrm dx}\sum_{n=0}^\infty x^n=\sum_{n=1}^\infty nx^{n-1}$

Recall that for $|x|$ , we have

$\displaystyle\sum_{n=0}^\infty x^n=\frac1{1-x}$

which means

$f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}=\frac{\mathrm d}{\mathrm dx}\frac1{1-x}$
$\implies f(x)=\dfrac1{(1-x)^2}$

5 0

3 years ago

What is (3⁴×5⁴)-³ =?

Kay [80]

Answer:

The solution to the given expression is 1/2562890625

Step-by-step explanation:

(3⁴ × 5⁴)⁻²

Simplify the terms inside the parentheses. 3⁴ × 5⁴ is the same as 15⁴ because even though the base numbers are different, the exponents are the same which makes it similar.

(15⁴)⁻²

Now, for this step, we are going to add the exponents because when multiplying, the exponential numbers add together. So 4 × -2 = -8.

15⁻⁸

Since we can not have a negative exponent, we are going to change this into a fraction. We do this by putting this term in a fraction where 1 is the numerator and the term is the denominator.

1 / 15⁻⁸

Now, we simplify the term on the bottom.

1 / 2562890625

So, this is the solution to the problem.

7 0

3 years ago