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4 years ago

Use technology to solve for x. 2x−8=3x−9 What are the solutions?

Mathematics

1 answer:

deff fn [24]4 years ago

3 0

Step-by-step explanation:

$2x - 8 = 3x - 9 \\ \\ \therefore \: 9 - 8 = 3x - 2x \\ \\ \therefore \: 1 = x \\ \\ \therefore \: x = 1$

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It costs $40 to register for Karate, then $15 per lesson. If Rachel is taking lessons and wants to spend no more than $250, how

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14 lessons.

Step-by-step explanation:

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3 years ago

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Find the minimum or maximum value of the function g(x)=−3x2−6x+5

polet [3.4K]

Step-by-step explanation:

g(x) = ax²+bx+c

g(x)=−3x²−6x+5

a = -3, b= -6, c = 5

since a <0 , the function has only maximum value.

=> g'(x) = 0

-6x -6 = 0

-6x = 6

x = -1

the maximum value => g(-1) =

-3(-1)²-6(-1)+5 = -3+6+5 = 9

the domain : {x | x € Real numbers}

the range : {y| y ≤ 9, y € Real numbers}

the function is increasing for x < -1

the function is decreasing for x > -1

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3 years ago

1) El ritmo cardíaco de un gato ( en latidos por minuto) es función lineal de su temperatura corporal (en grados Celsius). En co

olga55 [171]

Answer:

$y=10x-170$

Step-by-step explanation:

This problem can be modeled by a linear function, where we have two points (37°C, 200) and (32°C, 150).

Notice that the temperature is the independent variable, because the heartbeat of the cat won't change the temperature, it works in the opposite way.

First, let's find the constant ratio of change.

$m=\frac{150-200}{32-37}=\frac{-50}{-5}=10$

This means the hearbeat of the car changes 10 pulses per minute each 1 celsius degree.

Now, we use the point slope formula to find the equation

$y-y_{1} =m(x-x_{1} )\\y-150=10(x-32)\\y=10x-320+150\\y=10x-170$

Theerefore, the function that represents this situation is

$y=10x-170$

Where $x$ represents temperature and $y$ represents hearbeats.

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3 years ago

2x<15 solve for x

Nadusha1986 [10]

Answer:

x < 7.5

Step-by-step explanation:

Divide by 2 on both sides to find x

2x/2 < 15/2

x <15/2

x<7.5

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3 years ago

Graph the equation Y = X -1

Paha777 [63]

Answer:sorry for the delate

Step-by-step explanation:

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3 years ago

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