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3 years ago

Which of the following is a factor of 7x2 - 12x - 4? (6 points)

Mathematics

1 answer:

grin007 [14]3 years ago

4 0

Answer:

We conclude that 'None of the above' is the correct answer.

Step-by-step explanation:

Given the expression

$7x^2\:-\:12x\:-\:4$

Breaking the expression into groups

$7x^2\:-\:12x\:-\:4=\left(7x^2+2x\right)+\left(-14x-4\right)$

Factor out $x$ from $7x^2\:+\:2x$

$=x\left(7x+2\right)$

Factor out -2 from $\left(-14x-4\right)$

$=-2\left(7x+2\right)$

so the expression becomes

$7x^2\:-\:12x\:-\:4=\left(7x^2+2x\right)+\left(-14x-4\right)$

$=x\left(7x+2\right)-2\left(7x+2\right)$

Factor out the common term $7x+2$

$=\left(7x+2\right)\left(x-2\right)$

Therefore, from the given options, we conclude that 'None of the above' is the correct answer.

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Celia bought a bag of 12 goldfish for $3, What is the cost of 1 goldfish?

vagabundo [1.1K]

So what you would do is divide 12 by 3 which will get you for which means the total cost of 1 goldfish is $4

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3 years ago

Find the arc length of the semicircle. Either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a d

juin [17]

Answer:

9.42

Step-by-step explanation:

The circumference of a circle is calculated using the following formula:

C=2πr (C: circumference, r : radius)

radius here is 6 and π is given as 3.14

2*(3.14)*6 = 18.84 now divide this by 2 to find the length of semicircle

18.84/2 = 9.42

7 0

3 years ago

Chelsey wants to join a fitness club. The fitness club charges an initial membership fee of $55 and a monthly fee of 19.50. she

Naddik [55]

Answer:

Chelsey can be a member of the fitness club for 10 months.

Step-by-step explanation:

Given:

Chelsey wants to join a fitness club.

The fitness club charges an initial membership fee of $55 and a monthly fee of $19.50.

She has $250 to spend on a membership at the fitness club.

Now, to find the number of months Chelsey can be a member of the fitness club.

Let the number of months Chelsey can be a member of the fitness club be $x.$

Monthly fee = $19.50.

Membership fee = $55.

Now, to get the number of months Chelsey can be a member of the fitness club we write and solve an equation:

$55+19.50(x)=250.$

$55+19.50\times x=250\\\\55+19.50x=250$

Subtracting both sides by 55 we get:

$19.50x=195$

Dividing both sides by 19.50 we get:

$x=10.$

Therefore, Chelsey can be a member of the fitness club for 10 months.

5 0

4 years ago

If an arrow is shot upward on Mars with a speed of 68 m/s, its height in meters t seconds later is given by

Talja [164]

Answer:

(a) dy/dt = 68 - 3.72t

(b) 64.28m/s

Step-by-step explanation:

Given y = 68t - 1.86t²

Average Speed is rate of chance of distance with respect to time. Written as dy/dt

To obtain dy/dt, we differentiate y with respect to t, doing that, we have

dy/dt = 68 - 2(1.86)t

= 68 - 3.72t

(a) dy/dt = 68 - 3.72t

(b) To estimate the speed when t = 1, we substitute t = 1 in dy/dt .

dy/dt at t = 1 is

68 - 3.72(1)

= 68 - 3.72

= 64.28

The speed at t = 1 is 64.28m/s

6 0

3 years ago

What is the product of -2x^3+x-5 and x^3-3x-4 ?

murzikaleks [220]

To find the product of -2x^3+x-5 and x^3-3x-4, we need to multiply each term in the first polynomial by the second polynomial. (So, x^3 - 3x - 4) times ....
-2x^3 = -2x^6 + 6x^4 + 8x^3
x = x^4 - 3x^2 - 4x
-5 = -5x^3 + 15x + 20
If we add all these together, we get (-2x^6 + 7x^4 + 3x^3 - 3x^2 + 11x + 20)

6 0

3 years ago