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3 years ago

HELP HELP HELP First to HELP gets the brainliest :D

Mathematics

2 answers:

jasenka [17]3 years ago

7 0

Answer:

$y= -\frac{1}{3}x -6$

Step-by-step explanation:

Using the slope formula, you can form this equation! The slope of any equation would replace the m, and the y intercept would replace b!

I added in the slope formula at the bottom, just in case, so you'll see what I mean!

I hope this helps, and I explained enough! Have a great day c:

Allushta [10]3 years ago

4 0

The answer above is totally correct and they give perfect explanation!

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What is the solution set of (x^2+x-6/x-7)<_0

Vlada [557]

X^2 + x - 6
------------- <= 0
x - 7

(x + 3)(x - 2)
---------------- <= 0
x - 7

2 critical values are x = -3 and x = 2

if x <= -3 the the function <= 0 so that's one part of the solution
also x >= 2
x must be < 7 if its = 7 then the function is indeterminate. and values between 2 and 7 will give negative valu to function

The answer is choice A.

5 0

3 years ago

A special deck of cards has ten cards. Four are green, three are blue, and three are red. When a card is picked, its color of it

nata0808 [166]

Answer:

P(A) = 3/20

Step-by-step explanation:

P(A)=P(blue)P(head)=(3/10)(1/2)=3/20

as there are 10 cards in total, out of which 3 are blue so the probability to get the blue card is, P(blue) = 3/10. and the probability of getting a head when a coin is tossed is P(head) = 1/2.

So in total

P(A) = P(blue)*p(head) = (3/10)*(1/2) = 3/20 = 0.15

8 0

3 years ago

Find the general solution of the given differential equation. cos^2(x)sin(x)dy/dx+(cos^3(x))y=1 g

eimsori [14]

If the given differential equation is

$\cos^2(x) \sin(x) \dfrac{dy}{dx} + \cos^3(x) y = 1$

then multiply both sides by $\frac1{\cos^2(x)}$ :

$\sin(x) \dfrac{dy}{dx} + \cos(x) y = \sec^2(x)$

The left side is the derivative of a product,

$\dfrac{d}{dx}\left[\sin(x)y\right] = \sec^2(x)$

Integrate both sides with respect to $x$ , recalling that $\frac{d}{dx}\tan(x) = \sec^2(x)$ :

$\displaystyle \int \frac{d}{dx}\left[\sin(x)y\right] \, dx = \int \sec^2(x) \, dx$

$\sin(x) y = \tan(x) + C$

Solve for $y$ :

$\boxed{y = \sec(x) + C \csc(x)}which follows from [tex]\tan(x)=\frac{\sin(x)}{\cos(x)}$ .

7 0

1 year ago

F (x) = 4x + 7. Find the inverse of f(x).

Brilliant_brown [7]

Answer:

C. f(x) = x - 7 all over 4

Step-by-step explanation:

NB: Let f(x) = y

Exchange X and Y

Make y the subject

f(x) = 4x + 7

y = 4x + 7

x = 4y + 7

x - 7 = 4y

x - 7 all over 4 = 4 ÷ 4

y = x - 7 all over 4

6 0

3 years ago

The faces of a tetrahedron die are numbered 1 to 4. if each of the 4 sides is equally likely to land down, what is the probabili

Hoochie [10]

The probability distribution for the face landing down = 4/15

<h3>What is the probability?</h3>

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

<h3>According to the given information:</h3>

If we assign 1 probability x

then 2 has probability 1/2 x.

Similarly,

then 3 has probability = 1/2((1/2)*x) = (1/4)*x

then 4 has probability = 1/2((1/4)*x) = (1/8)*x

These probabilities need to sum to 1.

Hence:

$x+\frac{1}{2} x+\frac{1}{4} x+\frac{1}{8} x=1$

or equivalently

(15/8)*x = 1

x = 8/15

the probability distribution for the face landing down = (1/2)*(8/15)

= 8/30

= 4/15

To know more about probability visit:

brainly.com/question/1581057

#SPJ4

I understand that the question you are looking for is:

A tetrahedral die has four faces, numbered 1-4. If the die is weighted in such a way that each number is twice as likely to land facing down as the next number (1 twice as likely as 2, 2 twice as likely as 3, and so on) what is the probability distribution for the face landing down?

7 0

1 year ago