What is y+1 = 4(x - 1) in slope-intercept form?

A. y+ 1 = 4x - 4
B. -4x+y=5
C. y = 4x-5
D. 4x- y=-5

Answer:

It would be to the right of -2.5.

Step-by-step explanation:

Answer:   Number 5 is 60%

Step-by-step explanation:

Answer:

A.) parallel

Step-by-step explanation:

they are on opposite sides, and will never touch.

Hope I helped!! :)

Answer: B

Step-by-step explanation: It is greater or equal to -6 and less than or equal to 5.

Answer: A. 7/21 = 1/x

Step-by-step explanation: 7/21 = 1/3 so x would be 3.

Answer:

To easily compare the two linear equations just by looking at the equation, let's rearrange this into the slope-intercept formula: y = mx + b, where m is the slope and b is the y-intercept.

2x - 5y = -25

(-5y = -25x - 2x)-1

5y = 25/5 +2x/5

y = (2/5)x + 5

Thus, the slope is 2/5 and the y-intercept is 5.

y=52x + 5

The slope is 52 and the y-intercept is 5.

Thus, we can say that the two linear equations have the same y-intercept. This is the point in the y=-axis in which the two lines intersect. They must intersect at (0,5).

Step-by-step explanation:

Answer:

a geometric series

Step-by-step explanation:

Answer:

The best thing to use is Desmos the graphing calculator then just take a screenshot.

Step-by-step explanation:

Hope this helps and have a great day!

Answer:

15/ 44

Step-by-step explanation:

just multiply across

5 x 3 = 15

11 x 4 = 44

= 15/44

Answer:

[tex]\frac{15}{44}[/tex]  

I hope this helps!

Answer:

2 1/4

Step-by-step explanation:

3/4 ÷ 1/3 = ?

(to divide fractions faster you flip the second fraction so:)

3/4 x 3/1 = 2 1/4

Answer:

The probability of thickness exceeding 101 is 0.4483.

Step-by-step explanation:

Let X denote the thickness of the part manufactured by plastic injection molding.

Assume that X follows a normal distribution with mean, μ = 100 and standard deviation, σ = 8.

Compute the probability of thickness exceeding 101 as follows:

[tex]P(X>101)=P(\frac{X-\mu}{\sigma}>\frac{101-100}{8})[/tex]

                    [tex]=P(Z>0.125)\\\\=1-P(Z<0.125)\\\\=1-0.55172\\\\=0.44828\\\\\approx 0.4483[/tex]

Thus, the probability of thickness exceeding 101 is 0.4483.

1.333...percent

Hope it helps

Answer:

x=-4

Step-by-step explanation:

This is the equation you can write (assuming you meant "the same number x"):

1/2x=2+x

x=4+2x

-x=4

x=-4

Answer:

y= 3x+6

Step-by-step explanation:

the equation to use for this problem is y= mx+b

m is the slope (3) and b is the y-intercept (0,6)

let's plug those numbers into the equation.

y= 3x+6

Hope this helps!

You found the correct slope for Line 1, but Line 2 has a slope of (3 - 2)/(6-3) = 1/3.

If 2 lines are parallel, their slopes are the same; perpendicular and their slopes are opposite reciprocals (change the sign of the first slope, then divide 1 by it and you get the perpendicular line's slope). 1/3 is NOT the opposite reciprocal of 3 (because they have the same sign) and 1/3 is NOT equal to 3, so that makes the answer neither.

The slope for Line 3 is (3 - 1)/(1 - (-1)) = 2/2 = 1

The slope of Line 4 is (1 - (-1))/(4 - 2) = 2/2 = 1

1 = 1, so these lines are parallel

Answer:Step-by-step explanation:

a. Let x = number of months

Amount charged by Francis Lewis Gym = 150 + 10x

Amount charged by Clintonville Gym = 50 + 35x

Set each expression equal to the other to generate an equation to use in finding the number of months for which the cost of membership will be the same at both months

150 + 10x = 50 + 35x

Collect like terms

150 - 50 = -10x + 35x

100 = 25x

Divide both sides by 25

100/25 = x

4 = x

Answer: 4 months

b. Substitute x = 2 into each if the expression of the amount charged by each gym. The one that gives the lowest amount should be the one Mrs. Open should should join.

Amount charged by Francis Lewis Gym = 150 + 10x

= 150 + 10(2)

= 150 + 20

= $170

Amount charged by Clintonville Gym = 50 + 35x

= 50 + 35(2)

= 50 + 70

= $120

She should join the Clintonville Gym if she plans to join a gym for 2 months.

Answer: Clintonville Gym

Answer:

a

  [tex] P(X = 0) =  0.6065 [/tex]

b

[tex]P(x <  25 ) =   1.18 *10^{-33} [/tex]

c

 [tex]  P(x \le 5 ) =  0.9994 [/tex]    

Step-by-step explanation:

From the question we are told that

  The rate  is [tex]\lambda =  \frac{1}{2}\   hr^{-1}[/tex]    =  0.5 / hr

  Generally  Poisson distribution formula is mathematically represented as

       [tex]P(X = x) =  \frac{(\lambda t) ^x e^{-\lambda t }}{x!}[/tex]

Generally the probability that no error occurred during a day is mathematically represented as  

Here  t =  1  hour according to question a

So

   [tex]P(X = x) =  \frac{\lambda^x e^{-\lambda}}{x!}[/tex]

Hence

   [tex][tex]P(X = 0) =  \frac{\frac{1}{2} ^0 e^{-\frac{1}{2}}}{0!}[/tex]

=>  [tex] P(X = 0) =  0.6065 [/tex]

Generally the probability that  a critical error occurs since the start of a day is mathematically represented as

Here  t =  1  hour according to question a

So

   [tex]P(X = x) =  \frac{\lambda^x e^{-\lambda}}{x!}[/tex]

Hence

      [tex]P(x \ge 25 ) =  1 - P(x <  25 )[/tex]

Here

     [tex]P(x <  25 ) = \sum_{x=0}^{24} \frac{e^{-\lambda} * \lambda^{x}}{x!}[/tex]

=>   [tex]P(x <  25 ) =  \frac{e^{-0.5} *0.5^{0}}{0!} + \cdots + \frac{e^{-0.5} *0.5^{24}}{24!}[/tex]

[tex]P(x <  25 ) =  0.6065 + \cdots + \frac{e^{-0.5} *0.5^{24}}{6.204484 * 10^{23}}[/tex]

[tex]P(x <  25 ) =  0.6065 + \cdots + 6.0*10^{-32}[/tex]

[tex]P(x <  25 ) =   1.18 *10^{-33} [/tex]

Considering question c

Here  t =  2  

Gnerally given that the  system just started up and an error occurred  the probability the next reset will occur within 2 hours

[tex]P(x \le 5 ) =  \sum_{n=0}^{5}  \frac{(\lambda t) ^x e^{-\lambda t }}{x!}[/tex]

=> [tex]P(x \le 5 ) =   \frac{(0.5 *  2) ^ 0 e^{- 0.5  * 2 }}{0!} + \cdots  +   \frac{(0.5 *  2) ^ 5  e^{- 0.5  * 2 }}{5!}[/tex]

=> [tex]P(x \le 5 ) =   \frac{1* 2.7183 }{1 } + \cdots  +   \frac{1  *2.7183 }{120}[/tex]

=>  [tex]P(x \le 5 ) =   2.7183 + \cdots  +   0.0226525[/tex]

 [tex]  P(x \le 5 ) =  0.9994 [/tex]    

Step-by-step explanation:

Let the initial population of a community be P0 and the population after time t is P(t).

If the population of a community is known to increase at a rate proportional to the number of people present at time t, this is expressed as:

[tex]P(t) = P_0e^{kt}[/tex]

at t = 5 years, P(t) = 2P0

substitute:

[tex]2P_0 = P_0e^{5k}\\2 = e^{5k}\\ln2 = lne^{5k}\\ln2 = 5k\\k = \frac{ln2}{5}\\k = 0.1386[/tex]

If the population is 9,000 after 3 years

at t = 3, P(t) = 9000

a) Substitute into the formula to get P0

[tex]9000 = P_0e^{0.1386\times 3}\\9000 = P_0e^{0.4158}\\9000 = 1.5156P_0\\P_0 = \frac{9000}{1.5156}\\ P_0 = 5938.24[/tex]

Hence the initial population is approximately 5938.

b) In order to know how fast the population growing at t = 10, we will substitute t = 10 into the formula as shown:

[tex]P(10) = 5938.24e^{0.1386(10)}\\P(10) = 5938.24e^{1.386}\\P(10) = 5938.24(3.9988)\\P(10) = 23,745.97[/tex]

Hence the population of the community after 10 years is approximately 23,746

Answer:

a , b , d , e

Step-by-step explanation:

Converting to grams:

Converting these values to grams will make them easier to subtract

3 kg 924 grams OR 3.924 kg  = 3924 grams

1kg 893 grams OR 1.893 kg = 1893 grams

Subtracting:

Now that we have the values in grams, we will put them in their initial order and subtract them

3924 - 1893 = 2031 grams = 2.031 kg  OR  2 kg 31 grams

Answer:

-9

Step-by-step explanation:

the number is x

2x = 4x - - 18

2x = 4x + 18

-2x = 18

x = -9

Answer:

-9

Step-by-step explanation:

Let's solve your equation step-by-step.

2x=4x−(−18)

Step 1: Simplify both sides of the equation.

2x=4x+18

Step 2: Subtract 4x from both sides.

2x−4x=4x+18−4x

−2x=18

Step 3: Divide both sides by -2.

−2x/−2

= 18 /−2 x

=−9

Answer:

50.00%

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

Answer:

directrix: x=-1

focus: (1,0)

Step-by-step explanation:

Answer:

y-7/ 12y+3

Step-by-step explanation:

Answer:

7, 9, 11

Step-by-step explanation:

x+x+2+x+4=5(x+2)-18

3x+6=5x+10-18

3x+6=5x+-8

3x=5x+-14

-2x=-14

x=7

Answer:

-2.63 is bigger

Step-by-step explanation:

-2 5/7 is the same as -2.71428571428...

and when you compare a negative the smaller number is always greater than the bigger number because it is negative.

Answer:

1 4/5

Step-by-step explanation:

Download photogmath

Answer:

1 7/8

Step-by-step explanation:

9÷4 4/5

=9÷24

=9/1×5/24

=

9×5

-----------

1×24

=45/2

15/8=1 7/8

Answer:

It would be 15

Step-by-step explanation:

because 5x3 equals 15.

Answer:

15 dollars

Step-by-step explanation:

because you have to multiply how many apples there are to how much each one cost. So the answer would be 5 x 3 equals 15 dollars

Answer:

138 I think

Step-by-step explanation:

math go brrr