Please helps me out !!!

Answer:

y= -(1/6)x -2

Step-by-step explanation:

We know:

y= mx +b is the general equation of the line

Was given:

y= 6x +3, has the slope m=6

Find the equation of the line

y= -(1/6)x + b, perpendicular lines have their slope negative reciprocal m=-1/6

Find the y-intercept that is b

for point (x=12, y= -4) the equation of our line becomes

-4 = -(1/6)(12) + b, multiply a fraction and a number  (a/b)*c = ab/c

-4 = -12/6 +b, simplify the fraction

-4 = -2 + b , add 2 to both sides

-4+2 = -2+2 +b , solve for b

-2 = b

The equation of the line that passes through the point (12,-4) and is perpendicular to the line with the equation y=6x +3 is :

y= -(1/6)x -2

Answer:

Step-by-step explanation:

x3−x2+5x−12

x

≥0

Let's find the critical points of the inequality.

x3−x2+5x−12

x

=0

x3−x2+5x−12=0(Multiply both sides by x)

(Use cubic formula)

x=1.836169

Check possible critical points.

x=1.836169(Works in original equation)

Critical points:

x=1.836169(Makes both sides equal)

x=0(Makes left denominator equal to 0)

Check intervals in between critical points. (Test values in the intervals to see if they work.)

x<0(Works in original inequality)

0<x≤1.836169(Doesn't work in original inequality)

x≥1.836169(Works in original inequality)

Answer:

x<0 or x≥1.836169

Step-by-step explanation:

5.25....................

Answer:

8/3 > 19/8

Step-by-step explanation:

Get a common denominator

8/3 *8/8 = 64/24

19/8 *3/3 =57/24

Comparing the numerators

64>57

8/3 > 19/8

Answer:

All real number

Step-by-step explanation:

The graph of y = x is shown to the right. We can see that it is defined for all x-values because the line will continue to infinity. Thus, the domain of y = x is all real numbers.

Hope this help <3

Answer:

x = 1

Step-by-step explanation:

8x = 5x + 3

Subtract 5x from both sides

8x - 5x = 5x - 5x + 3

Simplify

3x = 3

Divide both sides by 3

3x/3 = 3/3

Simplify

x = 1

Answer:

Dependent variable = Total daily cost

Independent variable = number of items manufactured

2500 ;

9750

Step-by-step explanation:

Given the cost function in. A manufacturing company :

C(x) = 7.25x + 2500 ; Where

C(x) = total daily cost

x = number of items manufactured

The Independent variable is the variable whose value causes a change in the measured variable, this is the number of items manufactured, and the variable which charges as the predictor variable charges is the dependent variable (Total daily cost).

2.)

C(0) ;

C(x) = 7.25x + 2500

Put x = 0

C(0) = 7.25(0) + 2500

Cost = 2500

This is the total daily cost even if no items are produced, this is probably the fixed cost of daily production.

3.)

C(1000)

C(x) = 7.25x + 2500

Put x = 1000

C(0) = 7.25(1000) + 2500

Cost = 7250 + 2500

Cost = 9750

This is the total cost including variable cost of producing 1000 items.

Answer: 16

Step-by-step explanation:

Take ( 7 - 3 ) and subtract 3 from 7, which gives you 4, then take 4 and multiply it by 4, ( 4x4 ) which gives you 16.

Answer:

16

Step-by-step explanation:

4 * (7 - 3)

Parentheses first

4*(4)

Then multiply

16

Brenna and her mom finished eating dinner at 7:28 PM

They started shopping at 4:47 PM, and spent 26 minutes in the shoe store.

4:47 + 26 = 5:13 PM

They spent another 1 hour and 13 minutes shopping for a dress.

5:13 + 1 hr 13 min = 6:26 PM

Finally, they spent 1 hour and 2 minutes eating dinner at the food court.

6:26 + 1 hr 2 min = 7:28 PM

Hope this helps :)

Let x be the first number in the sequence. Then the first three numbers are

{x, x + 3, x + 6}

The next sentence says that the sequence

{x + 1, x + 9, x + 25}

is geometric, which means there is some fixed number r for which

x + 9 = r (x + 1)

x + 25 = r (x + 9)

Solve for r :

r = (x + 9)/(x + 1) = (x + 25)/(x + 9)

Solve for x :

(x + 9)² = (x + 25) (x + 1)

x ² + 18x + 81 = x ² + 26x + 25

8x = 56

x = 7

Then the three numbers are

{7, 10, 13}

Answer:

-6

Step-by-step explanation:

The equation is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The y intercept is the value when x = 0

The y value is -6 when the x value is 0

y = -4x+ (-6)

Answer:

boat speed 79 kph

stream speed 16kph

Step-by-step explanation:

Let v be the still water velocity

Let s be the stream velocity

3(v - s) = 189

3v - 3s = 189

   v - s = 63

        v = 63 + s

         5(v + s) = 475

         5v + 5s = 475

5(63 + s) + 5s = 475

315 + 5s + 5s = 475

               10s = 160

                  s = 16 km/hr

v = 63 + 16

v = 79 km/hr

5 pencils = 15 dollors

1 pencil = 15/5 dollors

therefore 1 pencil = 3 dollors...

Answer:

Each pencil would cost $3.00

Step-by-step explanation:

If 5 costs $15, to find the cost of one you divide 15 by 5

15 ÷ 5 = 3

Answer:

B

Step-by-step explanation:

The inequality will be 35000-320m>0

Answer:

8 pieces are shaded

Size of one square is (1/3)*(1/5)=1/15

The area of shaded region is basically (2/3)*(4/5)=8/15

The Size of one square is 1/15. The area of the shaded region rectangle is 8/15.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

From the given figure we can see that 8 pieces of the square makes a shaded region.

The area of a square = side x side

[tex]= \dfrac{1}{3}\times\dfrac{1}{5}\\\\=\dfrac{1}{15}[/tex]

Therefore, the Size of one square is 1/15.

The area of the shaded region rectangle = length × Width

[tex]= \dfrac{2}{3}\times\dfrac{4}{5}\\\\=\dfrac{8}{15}[/tex]

Learn more about the area;

https://brainly.com/question/1658516

#SPJ2

Answer:

12/40 or simplified it would be 3/10

Step-by-step explanation:

Answer:

Remainder is -53/8

Step-by-step explanation:

the divisor is (2x - 3):

make x the subject:

[tex]2x - 3 = 0 \\ 2x = 3 \\ x = \frac{3}{2} [/tex]

substitute for x in the function:

[tex]f(x) = {x}^{3} - 6 {x}^{2} + 3x - 1 \\ f( \frac{3}{2} ) = {( \frac{3}{2}) }^{3} - 6 {( \frac{3}{2}) }^{2} + 3( \frac{3}{2} ) - 1 \\ \\ f( \frac{3}{2} ) = \frac{ - 53}{8} [/tex]

Answer:

38.957625 US$

Step-by-step explanation:

38.957625 US$

Answer:

38.96

Step-by-step explanation:

Change from percent to decimal form

.0765 * 509.25

38.957625

Rounding to the nearest cent

38.96

Answer:

I think cubic polynomial cause degree is 3

Answer:

26 + 3 x 42 + 7 x -2 = 138

Step-by-step explanation:

Ok bud, first step we must convert our symbols (Makes it easier to solve)

26 + 3 x 42 + 7 x -2

* subsitutes for multiplication.

I recommend using PEMDAS at times:

1 - Parentheses

2 - Exponents and Roots

3 - Multiplication

4 - Division

5 - Addition

6 - Subtraction

Yet again your numbers were spaced out could they be exponents? if so:

3x^{42}+7x+24

Our answer would round to 24 but he equation was not put in a valid or straight forward way.

parabolas are there on my hand palms and it must be there on your hands too but why are you asking this question?

Answer:

A, B, E, F

Step-by-step explanation:

24>12, 24>15, 24>13, 24>18, 24<42, 24<41

Answer:

D.

Step-by-step explanation:

5/4=1.25, -2[tex]\sqrt{2}[/tex] = -2.828

Therefore,

1.25 (5/4), 1.04, -0.34, -2.828 (-2[tex]\sqrt{2}[/tex]), -17

Answer:

C

Step-by-step explanation:

He want's the bookshelf to be 1.5 feet taller than 1/4 of the height of his plant

If his plant's height is p, 1/4 of it's height would be 1/4p

As he wants the bookshelf to be 1.5 feet taller than this, the height should be

1.5 + 1/4p, which can also be written as p/4 + 1/5

Answered by g a u t h m a t h

Answer:

1/4p +1.5

Step-by-step explanation:

p = plant stand

The bookshelf is 1/4 the height of the plant stand plus 1.5 ft

1/4p +1.5

Answer:

[tex]E = 0.0158[/tex]

Step-by-step explanation:

Given

[tex]n = 5900[/tex]

[tex]x = 1770[/tex]

[tex]CI = 99\%[/tex]

Required

The margin of error (E)

First, calculate proportion p

[tex]p = x/n[/tex]

[tex]p = 1770/5900[/tex]

[tex]p = 0.3[/tex]

Given that:

[tex]CI = 99\%[/tex]

Calculate the alpha leve;

[tex]\alpha = 1 - CI[/tex]

[tex]\alpha = 1- 0.99[/tex]

[tex]\alpha= 0.01[/tex]

Divide by 2

[tex]\alpha/2= 0.01/2[/tex]

Subtract from 1

[tex]1 - \alpha/2= 1 - 0.01/2[/tex]

[tex]1 - \alpha/2= 0.995[/tex]

The corresponding z value is:

[tex]z =2.576[/tex]

So, the margin of error is:

[tex]E = z * \sqrt{p * (1 - p)/n}[/tex]

So, we have:

[tex]E = 2.576 * \sqrt{0.3 * (1 - 0.3)/5600}[/tex]

Using a calculator, we have:

[tex]E = 0.01577471394[/tex]

Approximate

[tex]E = 0.0158[/tex]

Answer:

Step-by-step explanation:

Short of taking 3 hours to type out the way that I did this, let me just tell you the process. Square both sides and multiply to distribute. You end up with radicals still, so square both sides again and multiply to distribute. What you end up with is a 6th degree polynomial that has to be factored. What I got in the end were these zeros:

x = 21.41917943

x = 1.306542114+/-7186864435i

x = -1.066667927

x = 1.28038353

x = 1.28038353

x = -.2459792634

Answer: Choice A) M = 0.25n + 100

=============================================================

Explanation:

For now, I'll treat n as x, and M as y.

In other words,

Let's select two points from this graph. I'll pick (200,150) and (400,200)

The slope of the line through those points is

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

m = (200-150)/(400-200)

m = 50/200

m = 0.25

Now we'll use the point (x,y) = (200,150) along with that slope value to find the y intercept b

y = mx+b

150 = 0.25*200+b

150 = 50+b

150-50 = b

100 = b

b = 100

You could also use (x,y) = (400,200) and you should get the same b value.

In fact, any other point from this graph works as well.

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

Since m = 0.25 and b = 100, we go from y = mx+b to y = 0.25x+100

This then translates over to M = 0.25n + 100 which is choice A

To help verify this, let's say we plugged in n = 100

M = 0.25*n + 100

M = 0.25*100 + 100

M = 25 + 100

M = 125

Which is confirmed by what the graph shows. I'll let you check the other points as well.

Answer:

9 is. ................m.m..mk

Answer:

60miles

Step-by-step explanation:

if they drove x miles in the city and y miles on the highway then you know that

x + y = 280

x/12 + y/20 = 16

x + 12y/20 = 16*12 = 192

8y/20 = 88

y = 220

x = 280-y = 280-220 = 60