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3 years ago

Which of the binomials below is a factor of this trinomial 3x^2+18x+24

Mathematics

2 answers:

finlep [7]3 years ago

7 0

I got D ! Keep practicing

Bingel [31]3 years ago

6 0

3(x^2+6x+8)
3(x+4)(x+2)
The answer is D

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The point P(-5,-8) is reflected across the x-axis to create point Q.

Ivahew [28]

Answer:

Answer: D. Q(5, −6) and R(−5, 6)

Step-by-step explanation:

3 0

3 years ago

The surface area of a cylinder is increasing at a rate of 9 pi square meters per hour. The height of the cylinder is fixed at 3

Alekssandra [29.7K]

Answer:

$9\pi \text{ cubic meters per hour}$

Step-by-step explanation:

Since, the surface area of a cylinder,

$A= 2\pi r^2 + 2\pi rh$ ................(1)

Where,

r = radius,

h = height,

If $A= 36\pi\text{ square meters}, h = 3\text{ meters}$

$36\pi = 2\pi r^2 + 2\pi r(3)$

$18 = r^2 + 3r$

$\implies r^2 + 3r - 18=0$

$r^2 + 6r - 3r - 18 = 0$ ( by middle term splitting )

$r(r+6)-3(r+6)=0$

$(r-3)(r+6)=0$

By zero product property,

r = 3 or r = - 6 ( not possible )

Thus, radius, r = 3 meters,

Now, differentiating equation (1) with respect to t ( time ),

$\frac{dA}{dt}= 4\pi r\frac{dr}{dt} +2\pi(r\frac{dh}{dt} + h\frac{dr}{dt})$

∵ h = constant, ⇒ dh/dt = 0,

$\frac{dA}{dt} = 4\pi r \frac{dr}{dt} +2\pi h \frac{dr}{dt}$

We have, $\frac{dA}{dt}=9\pi\text{ square meters per hour}, r = h = 3\text{ meters}$

$9\pi = 4\pi (3) \frac{dr}{dt}+2\pi (3)\frac{dr}{dt}$

$9\pi = (12\pi + 6\pi )\frac{dr}{dt}$

$9\pi = 18\pi \frac{dr}{dt}$

$\implies \frac{dr}{dt} =\frac{1}{2}\text{ meter per hour}$

Now,

Volume of a cylinder,

$V=\pi r^2 h$

Differentiating w. r. t. t,

$\frac{dV}{dt}=\pi ( r^2 \frac{dh}{dt}+h(2r)\frac{dr}{dt})=\pi ((3)(6) (\frac{1}{2})) = 9\pi \text{ cubic meters per hour}$

6 0

2 years ago

Solve for x in this equation: 3/4+ |5-x| = 13/4

Rom4ik [11]

Answer:

x = 2.5 or 7.5

Step-by-step explanation:

Subtract 3/4.

|5 -x| = 10/4 = 2.5

This resolves to two equations:

5 -x = 2.5 ⇒ x = 5 -2.5 = 2.5
5 -x = -2.5 ⇒ x = 5 +2.5 = 7.5

The solutions are x = 2.5 or 7.5.

5 0

3 years ago

You have been saving $25 a week to make the trip; you now have $200. This money will be budgeted to include gas, food, and enter

Pavel [41]

Domain is 25 & 200
Range is 175

3 0

1 year ago

If I have my mean mode median range so how can I construct a frequency table

Ugo [173]

Answer:

To find the mean, multiply the values by frequencies, add the subtotals, and divide by the total number of the frequency. Median : To find the median, calculate a running total of the frequencies, which is half the total, it contains the median that corresponds to the value.

Step-by-step explanation:

7 0

1 year ago