Please help, solve for x
2/x = 30/-5

Answer:

(y-1)= 3(x-7)

Step-by-step explanation:

1.  you put the equation given in slope intercept form so y=3x-1.

2.  you find the slope, parellel lines have the same slope so the slope for the new equation will remain 3.

3. then you write the point-slope form equation

4) make sure to plug in the x1 and y1 values from the coordniates given

The required equation of the line is given as 3x - y = -4.

Given that,
The equation of the line that passes through the point ( 1, 7 ) and is parallel to the line 3x−y = 1 is to be determined.

The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.

here,
The standard equation of the line is given as,
y = mx  + c,
Since the line is parallel to line 3x - y = 1 whose slope is m = 3, and also the slope of the parallel line are equal.
so,
y = 3x + c
Put points (1, 7) in the above equation,
7 = 3 + c
c = 4
y = 3x + 4

Thus, the required equation of the line is given as 3x - y = -4.

Learn more about slopes here:
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Answer:

The answer is A:10

Step-by-step explanation:

x =10

Answer:

10

Step-by-step explanation:

4×sqrt(3)(x-2) =8 //multiply both sides with power of 3 (so you get rid of the square root of 3.

64(x-2) = 512

64x - 128 = 512

64x = 640 // /64

x=10

Answer: 3

Step-by-step explanation:

95 x 3 = 285

Answer:3

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

Answer:

h=14

Step-by-step explanation:

7h-5(3h-8)=-72

Combine Like Terms

-8h+40=-72

Subtract 40 on both sides

-8h+40  -40 = -72  -40

Then we get

-8h/8=-112/8 so we divide by 8

h=14

Answer:

It could be any number from a range of -2 to 4.

Step-by-step explanation:

negative, because 11 is greater than 7. just think about it like a number line :)

Answer:

4 = 0.541666667

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use Keep Change Flip method

[tex]6\frac{1}{2}=\frac{6*2+1}{2}=\frac{13}{2}[/tex]

[tex]6\frac{1}{2}[/tex] ÷ [tex]\frac{3}{4}[/tex] = [tex]\frac{13}{2}[/tex]  ÷ [tex]\frac{3}{4}[/tex]

         [tex]=\frac{13}{2}*\frac{4}{3}\\\\=\frac{13}{1}*\frac{2}{3}\\\\=\frac{26}{3}\\\\=8\frac{2}{3}[/tex]

Answer:

-13.2

Step-by-step explanation:

-8.2-5 is the same as adding them if they were positive and then adding the negative sign in front

Answer:

[tex]\displaystyle y' = 57[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Property [Addition/Subtraction]:                                                         [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = 57x - 4[/tex]

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer:

f(x,y) = 5x⁴(2y³ +y )           0<x<1 , 0<y<1 , 0 otherwise

Step-by-step explanation:

Given

F(x) = 5x⁴ for 0<x<1 and 0 otherwise

f(y)= 2y³ +y for 0<y<1 and 0 otherwise

the joint p.d.f is given by

f(x,y) = f(x) * f(y)= 5x⁴(2y³ +y ) 0<x<1 , 0<y<1 , 0 otherwise

The joint pdf is found by multiplying the marginal pdfs.

The two random variables are said to be statistically independent if the joint probability function can be expressed as the product of two marginal functions.

Answer:

y = (x-6)/3

Step-by-step explanation:

3 consecutive even integers:  y, y+2, y+4

y+y+2+y+4 = x

3y+6 = x

y = (x-6)/3

Answer:

5

Step-by-step explanation:

the slope is the one conecter to the x

Answer: less then

Step-by-step explanation:

Answer:

3.59+6.61=10.2

Step-by-step explanation:

3.59+6.61=10.2

6.77-2.19=4.58

12.56+5.61=18.17

7.19-7.77 =0.58

Brainliest please?!?!

Answer:

35 square feet of metal should be purchased

Step-by-step explanation:

Let us use the fact above to solve the question

∵ The garden is 4 feet long

∵ Its wide is 30 inches

→ Change it to feet by divide it by 12

∴ Its wide = 30 ÷ 12

∴ Its wide = 2.5 feet

∵ It is 32 inches tall

→ Change it to feet by divide it by 12

∴ Its tall = 32 ÷ 12

∴ Its tall = 8/3 feet

∵ The perimeter of the rectangle = 2(length + width)

∵ Length = 4 feet and wedth = 2.5 feet

∴ The perimeter of the base = 2(4 + 2.5)

∴ The perimeter of the base = 13 feet

→ Substitute it in the rule above

∴ L.A = 13 × h

∵ The height = 8/3 feet

∴ L.A = 13 × 8/3

∴ L.A = 34.666667 feet²

→ Round it to the nearest square foot

∴ L.A = 35 feet²

∴ 35 square feet of metal should be purchased

m = 15√3

Hi there !

m/√3 - 11 = 4

m√3/√3·√3 - 11 = 4

m√3/3 - ³11 = ³4

m√3 - 33 = 12

m√3 = 12 + 33

m√3 = 45

m = 45/√3

m = 45√3/3

m = 15√3

Good luck !

Answer:

d (-5,0)

Step-by-step explanation:

If a point is located on the x-axis, then the y-coordinate is 0.  

d is the only point that sits on the x-axis. I know this because it's y-coordinate is 0.

(0,8) is actually a point sitting on the y-axis.

Given:

Price of each share = $3.75

Total amount invertor has = $800

To find:

The inequality that can be solved to show the number of shares s he can buy.

Solution:

Let x be the number of shares he can buy.

Price of 1 share = $3.75

Price of x shares = $3.75x

An investor has $800.

The price of x shares must be less than or equal to the amount he has. So,

[tex]3.75x\leq 800[/tex]

Divide both sides by 3.75.

[tex]x\leq \dfrac{800}{3.75}[/tex]

[tex]x\leq 213.33...[/tex]

So, the maximum possible integer value of x is 213.

Therefore, the equation inequality is [tex]3.75x\leq 800[/tex] and he can buy 213 shares.

Answer: -75.955

Step-by-step explanation:

the astronaut is descending 13.81km each minute, so multiply that by 5 and a half minutes you get 75.955. Since he is going down, his height will change by a negative 75.955 instead of a positive one.

Answer: Lower limit = -0.05 and Upper limit = 0.025

Step-by-step explanation:

3​-sigma , p chart control limits:

Lower limit = [tex]p-3\sqrt{\dfrac{p(1-p)}{n}}[/tex]

Upper limit = [tex]p+3\sqrt{\dfrac{p(1-p)}{n}}[/tex] , where n= sample size .

Given: p= 0.01 , n= 400

Lower limit = [tex]0.01-3\sqrt{\dfrac{0.01(1-0.01)}{400}}[/tex]

[tex]=0.01-3\sqrt{0.00002475}\\\\= 0.01-3(0.005)=-0.05[/tex]

Upper limit= [tex]0.01+3\sqrt{\dfrac{0.01(1-0.01)}{400}}[/tex]

[tex]=0.01+3\sqrt{0.00002475}\\\\= 0.01+3(0.005)=0.025[/tex]

hence, Lower limit = -0.05 and Upper limit = 0.025

Answer:

4:6

Step-by-step explanation:

4:6

8:12

12:18

16:24

Answer:

2:4

Step-by-step explanation:

Answer:

1/12 have neither blue or brown eyes.

Step-by-step explanation:

First you change the fractions to have an equal denominators. 2/3= 8/12. 1/4= 3/12.

Then you add them

8/12 + 3/12= 11/12

After that you subtract 12/12- 11-12= 1/12

I hope this helps you.

Answer:

its C

Step-by-step explanation:

Answer && Step-by-step explanation:

We know that an equation can be used, 2*x=4

slope int form : y=mx+b

b is not necessary here

1. 4=2x

2 represents the amount of dollars, x represents amount of days, y represents the required result

2. make y, 0: 2x=0

plug in values for x to represent y values

3. x means how much money he has and y is how many days

(x,y)

4. It does involve direct variation. y/x == k

4/2=2 which is exactly what we need to get 4

Answer:

1)

[tex]y=2x-4[/tex]

2)

Please see below for the graphs.

3)

The x-intercept means that Mike will pay off his debt after 2 days.

The y-intercept means that Mike initially owes his friend $4.

4)

No, it does not involve direct variation.

We can change it to direct variation if we remove the debt Mike owes.

The direct variation equation will then be:

[tex]y=2x[/tex]

Step-by-step explanation:

We know that Mike owes his friend $4. Each day, Mike earns $2.

Part 1)

Let y represent the amount of money Mike will have after x days.

Since Mike owes his friend $4, this means that the original amount he has is -4.

However, Mike earns $2 per day. So, our slope will be +2x.

Putting this all together, the equation that represents Mike’s situation is:

[tex]y=2x-4[/tex]

The y represents Mike’s total assets (money). The -4 represents what Mike started with, he $4 he owes. And the 2x represents the amount Mike will have after x days since he earns $2 per day.

Part 2)

Please see the graph below.

To graph by hand, first start by drawing a dot at the y-intercept, (0, -4).

Now, since our slope is 2, this is the same as saying 2/1.

So, draw a dot by going up 2 for every 1 right. Do this at least twice. This should yield three dots.

Finally, connect them with a graph.

I’ve also done it by hand to give you a visual.

Part 3)

So, from the graph, we can see that the x-intercept is (2, 0).

And the y-intercept is (0, -4).

The x-intercept tells us that when x is 2, y is 0.

Therefore, this means that after two days, Mike would’ve paid off his debt of $4.

Similarly, our y-intercept tells us that when x is 0, y is -4.

So, on Day 0, when Mike haven’t earned any money yet, he owes $4 as illustrated by -4.

Part 4)

Remember that direct variation equations must always go through the origin point.

Since our equation does not go through the origin, our equation is not direct variation.

Remember that for a graph to be direct variation, the y-intercept must be 0.

In other words, if Mike doesn’t owe any money at the start, we will have direct variation.

Thus, if the situation changed such that Mike doesn’t owe his friend any money, then we will have a direct variation equation.

Since he doesn’t owe any money, our y-intercept is 0. He will still earn $2 per day. Therefore, our equation will be:

[tex]y=2x[/tex]

Here, our constant of variation is 2, illustrating that Mike earns $2 per day.

And we are done!

Answer:

D

Step-by-step explanation:

We start out by calculating the z-score

z = (x-mean)/SD/√n

x = 475

mean = 500

SD = 60

n = 16

Substituting these;

z = (475-500)/60/√16

z = (-25)/60/4

z = -25/15

z = -1.67

So the probability we want to

calculate is P (x < -1.67)

we can use the standard normal distribution table here;

And from the standard normal distribution table;

we have P( x < -1.67) as 0.04746

which is approximately 0.0475

The probability that this population will have a sample mean less than 475 is 0.0475

z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ \mu=mean,\sigma=standard\ deviation,x=raw\ score,n=sample\ size[/tex]

Given that n = 16, μ = 500, σ = 60.

For x < 475:

[tex]z=\frac{475-500}{60/\sqrt{16} } =-1.67[/tex]

From the normal distribution table, P(x < 475) = P(z < -1.67) = 0.0475

The probability that this population will have a sample mean less than 475 is 0.0475

Find out more on z score at: https://brainly.com/question/25638875

Answer:

114 degrees

Step-by-step explanation: