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3 years ago

Divide. (18x^3+12x^2-3x)/6x^2

Mathematics

2 answers:

iren [92.7K]3 years ago

8 0

The answer to the first one is C

Second part is x^2 - 12 (B)

aleksley [76]3 years ago

8 0

Answer:

1. The correct option is C.

2. The correct option is B.

Step-by-step explanation:

The given expression is

$\frac{18x^3+12x^2-3x}{6x^2}$

Simplify the expression,

$\frac{18x^3}{6x^2}+\frac{12x^2}{6x^2}-\frac{3x}{6x^2}$

Cancel out the common factors.

$3x+2-\frac{1}{2x}$

Therefore option C is correct.

The given expression is

$\frac{2x^3-x^2-24x+12}{2x-1}$

Use grouping method to simplify the numerator.

$\frac{x^2(2x-1)-12(2x-1)}{2x-1}$

$\frac{(2x-1)(x^2-12)}{2x-1}$

Cancel out the common factors.

$x^2-12$

Therefore option B is correct.

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Cameron is older than Hassan. Their ages are consecutive integers. Find Cameron's

Alexxandr [17]

Answer:

Step-by-step explanation:

So consecutive integers, just means they're separated by a value of 1. This can be generally expressed as "a, a+1" where these two values would be consecutive integers assuming "a" is an integer.

So let's express Hassan's age as the variable "x", since it's unknown. Since Cameron is older, and by definition of a consecutive integer, Cameron's can be expressed as "x+1"

So the equation we need to set up is Cameron's age + 5(Hassan's age) = 145

So we can substitute the variables we defined to express Cameron and Hassan's age: $(x+1) + 5(x) = 145$

Distribute the 5: $x+1+5x$

Add like terms: $6x+1 = 145$

Subtract 1 from both sides: $6x=144$

Divide both sides by 6: $x=24$

Since we used "x" to represent Hassan's age, Hassan's age is 24. Since we used "x+1" to represent Cameron's age, Cameron's age is "24+1" which is just 25

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1 year ago

The table shows the steps for solving the given inequality for x. 7x+16<−5(4−5x)7x+16<−5(4−5x) Select the reason for each

Hoochie [10]

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How to name a angle in 4 different ways?<br> First answer and correct answer gets to be brainliest!

likoan [24]

Hey there!

4 ways to name angles

⇒ Use the vertex as the middle letter, and the point from each side (<ABC or <CBA)

⇒ Use the vertex only (<B)

⇒ Use a number (<1)

Classify angles according to their measure.

⇒ Acute angle: less than 90°

⇒ Right angle: exactly 90°

⇒ Obtuse angle: between 90° and 180°

⇒ Straight angle: exactly 180°

Thank you,

Eddie

See the attachment for a visual!

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Paraphin [41]

Answer:

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