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3 years ago

Find the solution to the syster y = 2x = 5 y = X - 2

Mathematics

1 answer:

lana66690 [7]3 years ago

3 0

Answer:

Both of these equations are in slope-intercept form. The slope-intercept form of a linear equation is: y=mx+b

Where m is the y-intercept value.

y=-2x+5

y=-2x+20

The slope of the two equations are: m1=−2 and m2=−2

Step-by-step explanation:

Because the have the same slope it means the lines represented by these two equations are either parallel or are the same line.

The y-intercepts for the two lines are:b1 = 5 and b1=20

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The average number of customers arriving at a gas station is 33 per hour during lunch hours. Use equation to denote the number o

Paha777 [63]

Answer:

The equation denoting the number of arrivals in 5 minutes is, $\frac{33}{60}\times5$ .

The number of arrivals in 5 minutes is 2.75.

Step-by-step explanation:

Let X = number of customers arriving at a gas station in an hour.

The average customers arriving at a gas station in an hour is, λ = 33.

The random variable X follows a Poisson distribution with parameter λ.

The probability mass function of a Poisson distribution is:

$P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,3...$

In 60 minutes the number of arrivals is, 33.

In 1 minute the number of arrival will be, $\frac{33}{60}$ .

Then in 5 minutes the number of arrivals will be, $\frac{33}{60}\times5$ .

The equation denoting the number of arrivals in 5 minutes is, $\frac{33}{60}\times5$ .

The number of arrivals in 5 minutes is

$\frac{33}{60}\times5=2.75$

Thus, the number of arrivals in 5 minutes is 2.75.

5 0

3 years ago

Callie drew the map below to show her neighborhood. If each unit in the coordinate plane represents 1.5 miles, how many miles is

astraxan [27]

I’m so sorry but I need to answer 2 questions to be able to ask mine again I apologize

3 0

3 years ago

I WILL AWARD BRAINLIEST!! PLEASE HELP!!

Veseljchak [2.6K]

Answer:

$1)\\\large\boxed{x=\dfrac{a+c}{b},\ if\ b\neq0}\\\\2)\\\boxed{if\ a=\dfrac{63b}{23}\ then\ x\ is\ any\ real \ number}\\\\\boxed{if\ a\neq\dfrac{63b}{23}\ then\ x\ not\ exist\ (no\ solution)}$

Step-by-step explanation:

$1)\\a-(a+b)x=(b-a)x-(c+bx)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\a-ax-bx=bx-ax-c-bx\qquad\text{cancel}\ bx\ \text{on the right side}\\\\a-ax-bx=-ax-c\qquad\text{add}\ ax\ \text{to both sides}\\\\a-bx=-c\qquad\text{subtract}\ a\ \text{from both sides}\\\\-bx=-a-c\qquad\text{divide both sides by}\ -b\neq0\\\\x=\dfrac{-a-c}{-b}\\\\x=\dfrac{a+c}{b}$

$2)\\2(3x-5a)+9(2a-7b)+3(5a-2x)=0\\\\\text{use the distributive property}\ a(b+c)=ab+ac\\\\(2)(3x)+(2)(-5a)+(9)(2a)+(9)(-7b)+(3)(5a)+(3)(-2x)=0\\\\6x-10a+18a-63b+15a-6x=0\qquad\text{combine like terms}\\\\(6x-6x)+(-10a+18a+15a)-63b=0\\\\23a-63b=0\qquad\text{add}\ 63b\ \text{to both sides}\\\\23a=63b\qquad\text{divide both sides by 23}\\\\a=\dfrac{63b}{23}\\\\if\ a=\dfrac{63b}{23}\ then\ x\ is\ any\ real \ number\\\\if\ a\neq\dfrac{63b}{23}\ then\ x\ not\ exist\ (no\ solution)$

3 0

4 years ago

Help me answer this question! 149/95 × 100 = ???

n200080 [17]

Answer:

157

Step-by-step explanation:

149/95*100=157

I hope it will be helpful

7 0

3 years ago

Read 2 more answers

What is the solution set of 1/3x=-6

Lapatulllka [165]

Answer:

the answer is x = -18

Step-by-step explanation:

1/3x=-6

3 x 1/3x = 3(-6)

x = -18

5 0

3 years ago