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1 year ago

19. Find the least common multiple of x² + 4x +3 and x² + 7x + 12.

Mathematics

1 answer:

Tems11 [23]1 year ago

3 0

Answer:

C. (x +1)(x +3)(x +4)

Step-by-step explanation:

The least common multiple is the product of the unique factors of each of the expressions. To find it, we need to factor each expression and identify the unique factors.

<h3>factorization</h3>

x² +4x +3 = (x +3)(x +1)

x² +7x +12 = (x +3)(x +4)

The unique factors are (x +1), (x +3), (x +4). The LCM is their product:

LCM = (x +1)(x +3)(x +4)

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<em>Additional comment</em>

The positive sign of the constant (+3, +12) in each case tells you that the constants in the binomial factors will have the same sign. The positive sign of the linear term (+4x, +7x) in each case tells you the binomial factors will have constants with a positive sign. So, all of the answer choices that have negative constants can be eliminated.

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Answer ? For this question

Mademuasel [1]

Orange box:

The incorrect statement is B. The theoretical probability is the probability of an event occurring that is expected. In this case, the theoretical probability of selecting a dime is 4/25.

Purple box:

The incorrect statement is C. The difference between the theoretical and experimental probability is not 1/10. The difference between the experimental and theoretical probability is 0.015 or 3/200.

6/25 = 0.24

9/40 = 0.225

0.24 - 0.225 = 0.015

Hope this helps!! :)

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3 years ago

What is the area of a rectangle with a length of 15 feet and a width of 9 feet?

vesna_86 [32]

Area of a rectangle can be calculated by multiplying length times width.
15*9=135 ft^2

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3 years ago

GEOMETRY PEOPLE PLEASE HELP ME!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST!

IrinaVladis [17]

$\Delta KLJ\sim\DeltaNPM$ (AAA) Corresponding angles are congruent.

Therefore, the sides of the triangles are proportional:

$\dfrac{4x-4}{20}=\dfrac{30}{25}$ cross multiply

$25(4x-4)=(20)(30)$ use distributive property

$(25)(4x)+(25)(4)=600\\\\100x+100=600$ subtract 100 from both sides

$100x=500$ divide both sides by 100

$x=5$

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$\Delta PQR\cong\Delta STU$ (SAS)

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

Therefore we have the equation:

$3y-2=y+4\qquad|+2\\\\3y=y+6\qquad|-y\\\\2y=6\qquad|:2\\\\y=3$

The perimeter of △PQR:

$P=4+6+3y-2=8+3y$

Substitute the value of y to the expression:

$P=8+3(3)=8+9=17\ ft$

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2 years ago

<img src="https://tex.z-dn.net/?f=the%20%5C%3A%20angle%20%5C%3A%20of%20%5C%3A%20measure%20%5C%3A%20%20%5Cfrac%7B31%5Cpi%7D%7B6%7

Yakvenalex [24]

Answer:

3rd quadrant

Step-by-step explanation:

First we just convert the angle from radians to degrees
$\frac{31\pi radians }{6}*\frac{180degrees}{\pi radians} =\frac{31*180}{6} degrees=930degrees$
Now that's too big, all this means is if we start rotating from the positive y-axis in a circle we will cross the starting point 2 times, 2 full circles;
$930degrees-360degrees=570degrees\\570degrees-360degrees=210degrees$
Now in which quadrant it 210 degrees?
0 degrees to 90 degrees is 1st quadrant
90 degrees to 180 degrees is 2nd quadrant
180 degrees to 270 degrees is 3rd quadrant
270 degrees to 360 degrees is 4th quadrant
So our answer is the 3rd quadrant.

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2 years ago

What is the reason for each step in the solution of the equation?

user100 [1]

Answer in the attachment.

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2 years ago