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2 years ago

What is the slope of the line through (-3, 3) and (-1, -1)?

Mathematics

1 answer:

Vladimir79 [104]2 years ago

3 0

Answer:

The slope is -2

Step-by-step explanation:

To find the slope, we can use the slope formula

m = ( y2-y1)/(x2-x1)

= (-1 -3)/(-1 - -3)

= ( -1-3)/(-1+3)

= -4/2

= -2

The slope is -2

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Solve the equation –4 In(6x) = 2.<br> O A. 0.101<br> B. 0.275<br> C 3.639<br> D. 67.238

EastWind [94]

Isolate the variable using algebraic manipulation.

$-4 ln(6x)=2$

$ln(6x)=-\frac{1}{2}$

$6x=e^{-\frac{1}{2}}$

$x=\frac{e^-\frac{1}{2}}{6}$

$x=0.101$

Hope this helps.

頑張って!

6 0

3 years ago

Read 2 more answers

A marble is randomly selected from a bag containing 3 red marbles, 3 blue marbles and 3 green marbles. What is the probability t

ddd [48]

Answer:

$\frac{1}{3}$

Step-by-step explanation:

Formula: Correct result / Total possible results

Plug it in: 3/9

Simplify: 1/3

6 0

2 years ago

Read 2 more answers

Find dy/dx for y= x^3 ln (cot x)

ICE Princess25 [194]

<h3>Answer</h3>

$\dfrac{dy}{dx} = 3x^2 \ln(\cot x)-x^3 \csc(x)\sec(x)$

<h3>Explanation</h3>

By the product rule $(d/dx)(f(x)g(x)) = f(x)g'(x) + g(x)f'(x)$ , we have

$\begin{aligned}\frac{dy}{dx} &= \left(x^3 \ln (\cot x) \right)' \\&= x^3\big(\ln (\cot x)\big)' + \ln (\cot x) \cdot \left(x^3\right)' \end{aligned}$

By the chain rule:

$\begin{aligned}\big(\ln (\cot x)\big)' &= \dfrac{1}{\cot x} \cdot (\cot x)' \\ &= \dfrac{1}{\cot x} \cdot -\csc^2 x\\&= -\tan (x) \csc^2(x) \\&= - \frac{\sin x}{\cos x} \cdot \frac{1}{\sin^2 x} = - \frac{1}{\cos x} \cdot \frac{1}{\sin x} \\&= -\csc(x)\sec(x)\end{aligned}$

By the power rule:

$(x^3)' = 3x^2$

thus

$\begin{aligned}\frac{dy}{dx} &= x^3\big(\ln (\cot x)\big)' + \ln (\cot x) \cdot \left(x^3\right)' \\&= x^3\big( -\csc(x)\sec(x) \big) + \ln(\cot x) \cdot (3x^2) \\&= -x^3 \csc(x)\sec(x) + 3x^2 \ln(\cot x) \\&= 3x^2 \ln(\cot x)-x^3 \csc(x)\sec(x)\end{aligned}$

Nothing to do to simplify any further, other than factoring out $x^2$ .

4 0

3 years ago

Nathan and his brother Zach love to play video games. Right

Monica [59]

Answer:

$N=2Z-11$

$\begin{array}{cc}\text{Zac's score}&\text{Natan's score}\\ 6&1\\7&3\\8&5\\9&7\end{array}$

Step-by-step explanation:

Nathan's score is 11 less than 2 times Zac's score.

Let Z points be Zac's score and N points be Natan's score. then

2 times Zac's score = 2Z

11 less than 2 times Zac's score = 2Z -11

So, N = 2Z - 11

1. If Z=6, then $N=2\cdot 6-11=12-11=1$

2. If Z=7, then $N=2\cdot 7-11=14-11=3$

3. If Z=8, then $N=2\cdot 8-11=16-11=5$

4. If Z=9, then $N=2\cdot 9-11=18-11=7$

Thus, four other possibilities are

$\begin{array}{cc}\text{Zac's score}&\text{Natan's score}\\ 6&1\\7&3\\8&5\\9&7\end{array}$

3 0

3 years ago

PLEASE I AM ASKING FOR HELP DESPERATELY! Which is NOT a good reason to establish a positive credit history?

otez555 [7]

Answer:

Step-by-step explanation:

The purpose of establishing a good credit history is to show that you are able to handle money. The higher your credit score is, the more responsible you are with money.

You can build good credit history by making payments with a credit card and repaying your purchases. It shows that if the bank were to give you a larger sum of money, you would pay it back.

As such, B is incorrect. The purpose of credit relates to purchases. A is obviously correct for this reason. C is correct because banks are likely to put less interest, as interest correlates to the score (lower credit score, higher interest). D is correct because banks allow you to obtain credit cards with better rates if your credit score is high enough.

Employers cannot determine your qualification for a job based on a credit score. Some states even prohibit this. For this reason, B is incorrect.

8 0

3 years ago