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3 years ago

13

What is the product? 6 (x squared minus 1) times StartFraction 6 x minus 1 Over 6 (x + 1) EndFraction 6(x – 1)2 6(x2 – 1) (x + 1

)(6x – 1) (x – 1)(6x – 1)

2 answers:

vfiekz [6]3 years ago

8 0

Option D: $(6x-1)(x-1)$ is the product of the expression

Explanation:

The expression is $6(x^{2} -1)\times\frac{6x-1}{6(x+1)}$

We need to determine the product of the expression.

To determine the product of the expression, we need to simplify the given expression.

Thus, we have,

$6(x^{2} -1^2)\times\frac{6x-1}{6(x+1)}$

The term $(x^{2} -1^2)$ is of the form $a^2-b^2$

Now, we shall use the identity, $a^2-b^2=(a+b)(a-b)$

Hence, we have,

$6(x+1)(x-1)\times\frac{6(x-1)}{6(x+1)}$

Multiplying the terms and cancelling the common terms, we get,

$(x-1)\times({6x-1})$

Hence, the product of the given expression is $(6x-1)(x-1)$

Therefore, Option D is the correct answer.

irinina [24]3 years ago

4 0

Answer:

D on edge

Step-by-step explanation:

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Find smallest number which on adding to 19 it is exactly divisible by 28,36 and 45 (LCM).

BabaBlast [244]

Answer:

1241

Step-by-step explanation:

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L.C.M. of 28, 36 and 45 = 2 × 2 × 3 × 3 × 5 × 7 = 1260

∴

the required number is 1260 - 19 = 1241

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3 years ago

Read 2 more answers

Number 17 and 16 plz help

fgiga [73]

Hi. Okay, #16 says write a decimal between 0.5 and 0.75. Then write it as a fraction in simplest form and as a percent.

write a decimal = I will pick 0.15 - now we need to write it as a fraction since the 5 is in the hundredths place our fractions would be:

15/100 = 3/20 (simplest form)

Now to change .15 to a percent we simply move the decimal two places to the right and add a % sign so. 15 = 15%

Question 17
How would you write 43 3/4% as a decimal

For this one, it is a lot easier than you think. The answer is 43.75. Let me tell you how...

To change 3/4 to a decimal, you are merely dividing the 4 into 3.00, hence the .75 and then just bring the 43 over. With problem like this that end in 1/4, 1/2, 3/4 just think of 4 quarters---1 quarter =.24, 2 quarters = .50, 3 quarters =.75

Question 16 answer is: .15, 15/100=3/20 and 15%
Question 17 answer is: 43.75

I hope this helps. If you have any questions, please don't hesitate to ask.

Take care,
Diana

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3 years ago

Find the equation of the line:

Studentka2010 [4]

Answer:

y = -1/4x - 2

Step-by-step explanation:

y = -1/4x - 2

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3 years ago

Use the image to match the arc/angle measure.

IrinaK [193]

Answer:

The following measurements are:

$m\angle{STR}=23^\circ$ (Option #4)

$m{QT}=142^\circ$ (Option #7)

$mST=134^\circ$ (Option #5)

$mRQ=38^\circ$ (Option #2)

Step-by-step explanation:

To begin, we can find the measure of $\angle{STR}$ by applying the inscribed angle theorem: an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.

Since the intercepted arc (RS) is 46 degrees, we have:

$46=2\theta\\23=\theta$

Next, we can find the measure of arc QT using the same theorem. So,

$QT=2(71)\\QT=142$

Notice that the chord RT is actually a diameter. From the theorem about the inscribed angle including a diameter, we know that the intercepted arc will have a measure of $180^\circ$ . Since the arc ST is part of the arc RST, and we know RS is $46^\circ$ , we can set up and solve this equation:

$RST = RS + ST\\180 = 46 + ST\\134 = ST$

We can use the same idea to find RQ. We know that RQT is $180^\circ$ and QT is $142^\circ$ , so:

$RQT = RQ + QT\\180 = RQ + 142\\38 = RQ$

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3 years ago