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3 years ago

Factor completely. x2 + 5x + 6 A. (x - 3)(x + 3) B. (x - 1)(x + 6) C. (x + 3)(x + 2) D. (x + 5)(x + 1)

Mathematics

1 answer:

zhuklara [117]3 years ago

4 0

being $x^{2} +5x+6$ the answer is (x-3)(x-2)

begin $x^{2} -5x+6$ the answer is (x+3)(x+2)

1. $x^{2} +5x+6$

second grade formala is used

$x= \frac{-b±\sqrt{b^{2} } -4ac}{2a}\\ x=\frac{-5±\sqrt{5^{2} } -4.1.6}{2} \\ x= \frac{-5±1}{2} \\ x_{1} =-3 \\ x_{2} =-2$

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Solve the system algebraically.<br> 3x - 2y - 1 = 0 y = 5x + 4 <br> What is the solution?

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Answer:

$x=\frac{-9}{7}$

$y=\frac{-17}{7}$

Step-by-step explanation:

We have been given the equation:

$3x-2y-1=0$

And $y=5x+4$

Second equation can be rewritten as:

$5x-y=-4$

We will solve the equations:

$3x-2y=1$ (1)

$5x-y=-4$ (2)

Multiply equation (1) by 5 and equation (2) by 3 we get:

$15x-10y=5$ (3)

$15x-3y=-12$ (4)

Now, subtract (4) from (3) we get:

$-7y=17$

$y=\frac{-17}{7}$

Now substitute $y=\frac{-17}{7}$ in equation (1) we get:

$3x-2{\frac{-17}{7}}=1$

$3x+\frac{34}{7}=1$

$21x=-27$

$x=\frac[-27}{21}$

$x=\frac{-9}{7}$

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3 years ago

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State whether you believe the two variables are correlated. If you believe they are correlated, state whether the correlation is

EleoNora [17]

Answer:

I believe they are correlated: positive correlation.

Step-by-step explanation:

The higher the repair bills of a car, it means maybe having bad fuel injectors, will cause bad mileage allowing the car to consume more fuel. It is like say the inexorable decline of a car in areas including minor wears and incorrect adjustment etc impairs fuel economy. Thus, the higher the repair bills, the higher the fuel consumption. This is an example of a positive correlation. This means the value of y increases as there is an increase in the value of x.

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Machine A can sort 840 pieces of mail per hour, and Machine B can sort 760 pieces per hour. How long will it take both machines

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Step-by-step explanation:

Machine A: 840 an hour

Machine B: 760 an hour

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Divide each side by 1600

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Kobotan [32]

The sum of the numbers expressed in scientific notations is given by: Option B: $6.82 \times 10^{12}$

<h3>How does scientific notations work?</h3>

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Scientific notations have some of the profits as:

Better readability due to compact representation
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The given expression is:

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