2 years ago

The slope of the line 5x – y = 12 is

Mathematics

1 answer:

Dmitrij [34]2 years ago

8 0

The slope would be 5

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What is the output, or y-value, when you input x = -3 into the function: x² − 3x + 1

Citrus2011 [14]

Answer:

y = 19

Step by step explanation:

$y = x ^{2} - 3x + 1 \\ y = ( - 3) ^{2} - 3( - 3) + 1 \\ y = 19 \\ so \: the \: y - value \: is \: 19$

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2 years ago

How many times does 4 go into 56

Oduvanchick [21]

4 multiplied by 14 gives you 56 so its 14

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2 years ago

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Jordan performed an experiment using a number cube. He rolled a number cube 50 times. He found that he rolled a 6 a total of 8 t

bazaltina [42]

Answer:

Step-by-step explanation:

Total number of rolls = 50

Number of times rolling a 6 = 8 times

Number of times not rolling a 6 = 50 -8 = 42

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2 years ago

Find the positive base $b$ in which the equation $5_b \cdot 23_b = 151_b$ is valid.

DanielleElmas [232]

Answer:

b=7

Step-by-step explanation:

We want to determine the positive base b in which:

$5_b \cdot 23_b = 151_b$

The easiest way to approach this is to convert all the numbers to base 10.

$5_b=5Xb^0=5\\23_b =(2Xb^1)+(3Xb^0)=2b+3\\151_b=(1Xb^2)+(5Xb^1)+(1Xb^0)=b^2+5b+1\\Therefore:\\5_b \cdot 23_b = 151_b\\5(2b+3)=b^2+5b+1\\10b+15=b^2+5b+1\\b^2+5b+1-10b-15=0$

$b^2-5b-14=0$

Next, we factorize the resulting expression.

$b^2-5b-14=b^2-7b+2b-14=0\\b(b-7)+2(b-7)=0\\(b-7)(b+2)=0\\b-7=0\: or \: b+2=0\\b=7\: or \: b=-2$

The positive value of b for which the equality hold is 7.

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2 years ago

What are the solutions of the equation c

kondaur [170]

Answer:

Be more detailed, BC i can only give you a general answer a^2 + b^2 = c^2

Step-by-step explanation:

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2 years ago