Name the slop and one point that is on the line represented by the equation: y + 3 = -1/2(x +7)

Step by Step Solution:

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STEP

1

:

Equation at the end of step 1

STEP

2

:

           x3 + 3x2 - 7x - 12

Simplify   ——————————————————

                 x + 4        

Checking for a perfect cube :

2.1    x3 + 3x2 - 7x - 12  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3 + 3x2 - 7x - 12  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -7x - 12  

Group 2:  x3 + 3x2  

Pull out from each group separately :

Group 1:   (7x + 12) • (-1)

Group 2:   (x + 3) • (x2)

1 result(s) found

x  

2

−x−3

Answer:

a. 0.5 g/cc

Step-by-step Explanation:

Given:

Measurement of rectangular prism = 3 cm × 4 cm × 6 cm

Mass of rectangular prism = 36 grams

Required:

Density of rectangular prism

SOLUTION:

[tex] Density = \frac{Mass}{Volume} [/tex]

Mass = 36 g

Volume = 3*4*6 = 72 cm³

[tex] Density = \frac{36}{72} [/tex]

Density = 0.5 g/cc

Answer:

y=x-7

Step-by-step explanation:

y=mx+b

(-3)=(1)(4)+b

-3=4+b

-3=4+b

-4=-4+b

-7=b

then y=1x-7

then simplify and it gives you y=x-7

Answer:

the answer would be x equal 2.4

Step-by-step explanation:

sorry for my bad handwriting

Answer:

209.106 = (2 x 100) + (0 x 10) + (9 x 1) + (1/10) + (0/100) + (6/1000)

Answer:

200+9+0.1+0.006.

Step-by-step explanation:

Answer:

the answer is 54 %

Step-by-step explanation:

divide 120/65=0.54, then since you're looking for the percent you multiply it by 100, and the answer would be 54%

Step-by-step explanation:

-2(3x-12)+4-13

=-6x+24+4-13=-7x-15

=6x-15

4(5x-1)+8x-20=20x-4+8x-20

=28x-24

So this is ur solution.

But if u wnt to solve these eq. together thn it will be:-

6x-15=28x-24

6x-28x=-24+15

-22x=-9

x=22/9=2.44

Hope u like it.

Answer:

-8+9 is problem one

Step-by-st-ep explanation:

Answer: 17 / 990

Step-by-step explanation:

To obtain the probability of the question above :

Find the count of number pairs whose difference gives is 15 in the range (1 to 100).

Also find the count of all distinct number pair differences

Number pair which have a difference of 15 = 85

Total distinct number pair differences = 4950

Probability = required outcome / Total possible outcomes

P(difference of 15) = 85/4950 = 17/990

9514 1404 393

Answer:

  y = x +7

Step-by-step explanation:

The slope of the given line can be found as ...

  m = (y2 -y1)/(x2 -x1)

  m = (3 -7)/(-1 -3) = -4/-4 = 1

Then the point-slope form of the equation for the desired line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y - 9 = 1(x -2)

  y = x -2 +9

  y = x + 7 . . . . slope-intercept form

__

The attachment shows a graphing application that will write the equation of the line. Here, it shows the desired line has the equation ...

  x -y = -7 . . . . desired line equation in standard form

Step-by-step explanation:

Given data

C(x)=12x+114

R(x)=6x.

The company will start to run on profit just when revenue equals the production cost, that is

C(x)=R(x)

equating the two expressions we have

12x+114=6x

solving for x we have

12x-6x+114=0

6x+114=0

6x=-114

x=-114/6

x=-19

Hence the company will start to run on proft when they start to produce above 19 items

Profit is the difference between the revenue and cost functions

A production greater than 19 will turn a profit

From the question, we have:

[tex]\mathbf{R(x) = 6x}[/tex]

[tex]\mathbf{C(x) = 12x + 114}[/tex]

So, the profit function is:

[tex]\mathbf{P(x) = R(x) - C(x)}[/tex]

Substitute known values

[tex]\mathbf{P(x) = 6x - 12x - 114}\\[/tex]

[tex]\mathbf{P(x) = - 6x - 114}[/tex]

Equate to 0

[tex]\mathbf{- 6x - 114 = 0}[/tex]

Collect like terms

[tex]\mathbf{- 6x= 114}[/tex]

Divide both sides by -6

[tex]\mathbf{x= -19}[/tex]

The above equation means that: A production greater than 19 will turn a profit

Read more about profit functions at:

https://brainly.com/question/16866047

Answer:

I don't known

Step-by-step explanation:

Answer:

132

Step-by-step explanation:

First, obtain the total of the ratio:

7+4 = 11

Then, make equations:

[tex]\frac{7}{11} =\frac{x}{484}[/tex]      and     [tex]\frac{4}{11} =\frac{x}{484}[/tex]

Next, solve:

11x = 7*484   →    11x = 3388    →    x = 308

11x = 4*484   →    11x = 1936     →    x = 176

Finally, find the difference:

308 - 176 = 132

(**If it is asking how many times bigger... 308/176 = 1.75 or  [tex]\frac{7}{4}[/tex] )

Answer:

y = 2/3x + 1/2

Step-by-step explanation:

First, make the equation into a slope-intercept form:

2y + 3x = 1

2y = -3x + 1

y = -1.5x + 0.5

You can make it into a fraction:

y = -3/2x + 1/2

Now here's the equation:

y = 2/3x + 1/2

Hope this helps!

Let me know if I'm wrong :)

Answer: The correct answer is 6. Hudson evaluated the function at x =17, instead of finding the the value of x.

Step-by-step explanation:

2( 1/2)+5

1+5= 6

Answer:

5 min

Step-by-step explanation:

If the minute hand takes an hour to go 360°, going 155° would take 26 minutes.

The first step is to find the number of degrees the minute hand goes in a minute:

= Degrees in an hour / Minutes in an hour

= 360 / 60

= 6° per minute

In order to go 155°, the minute hand would go for:

= Degrees / Degrees per minute

= 155 / 6

= 25.83

= 26 minutes

In conclusion, it would take 26 minutes for the minute hand to turn 155°.

Find out more at https://brainly.com/question/8890577.

Answer:

all really all you have to do is do 8 divided by 19 and then whatever that number that you get from that attractive from your highest number that you have in your question which is 11000

Answer:

(x+15)(x+4)

Step-by-step explanation:

Answer:

90.

Step-by-step explanation:

10, 9 times, means you're adding 10+10+10+10+10+10+10+10+10=90.

Answer:

Step-by-step explanation:

Let n(U) be total amount or customers = 100%

n(C) = 80% of its customers subscribe to its cable TV service.

n(I) = 41% of its customers subscribe to its Internet service.

n(T) = 31% of its customers subscribe to its telephone service.

n(CnI) = 25% of its customers subscribe to both its cable TV and Internet service.

n(CnT) = 20% of its customers subscribe to both its cable TV and phone service.

n(InT) = 22% of its customers subscribe to both its Internet and phone service.

n(CnInT) = 15% of its customers subscribe to all three services

number of those that subscribed to TV only = n(C) - (n(CnInT')+(n(CnI'nT)+(n(CnInT))

= 80-[(25-15)+(20-15)+15]

= 80-{10+5+15)

= 80-30

= 50

Hence 50% read cable TV only

Pr(cable TV only) = 50/100 = 1/2

2) number of people that read internet and cable TV = 25%

Pr(internet and cable) = 25/100 = 1/4

3) number of people that had exactly two services are;

n(cable and internet only)+n(internet and phone only)+(cable and phone only)

= (25-15)+(22-15)+(20-15)

= 10+7+4

= 21%

Hence 21℅ read exactly two services

pr(exactly 2 services) = 21/100

4) number of people that read internet and cable only = n(CnI) - n(CnInP)

= 25-15 = 10%

Pr(Internet and cable only) = 10/100 = 1/10

Answer:

The answer is

[tex] \huge y + 1 = 15(x - 3) \\ [/tex]

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question we have the final answer as

[tex]y + 1 = 15(x - 3)[/tex]

Hope this helps you

Using the concept of x-intercept, it is found that the correct statement is:

In this problem, in function f(x), when f(x) = 0, x = 3, hence the x-intercept is x = 3.

Function g(x) is defined by:

[tex]g(x) = 2 + \sqrt[3]{3x + 1}[/tex]

Hence, the x-intercept of g(x) is found as follows:

[tex]g(x) = 0[/tex]

[tex]2 + \sqrt[3]{3x + 1} = 0[/tex]

[tex]\sqrt[3]{3x + 1} = -2[/tex]

[tex](\sqrt[3]{3x + 1})^3 = (-2)^3[/tex]

[tex]3x + 1 = -8[/tex]

[tex]3x = -9[/tex]

[tex]x = -\frac{9}{3}[/tex]

[tex]x = -3[/tex]

The x-intercept of g(x) is -3, which is less than the x-intercept of function f(x), hence, the correct statement is:

To learn more about the concept of x-intercept, you can take a look at https://brainly.com/question/24737967

Answer:

-4+-6=-10

Step-by-step explanation:

Answer:

The slope is -13/2x + 20. In decimal form, -6.5x + 20