Find the factors of f(x) given that x = −3 is a zero.
f(x) = x^3 + 12x^2 + 47x + 60
(x + 3)(x + 4)(x − 5)
(x + 3)(x + 4)(x + 5)
(x − 3)(x + 5)(x + 6)
(x + 3)(x + 3)(x − 3)

Answer:

-6.89, -5.6, 0, 2.06, 7.95

Step-by-step explanation:

Hope this helps!

-6.89.-5.6,0,2.06,7.95

Negatives are always lesser values than positives.

Answer: this is a reflection across the x-axis

Answer:

x = 3/4

Step-by-step explanation:

Step 1: Find possibilities.

Step 2: Solve possibility 1.

Therefore, x = 3/4.

Answer:

[tex]\huge\color{pink}\boxed{\colorbox{black}{Answer♡}}[/tex]

The reason that a heavy body doesn't fall faster than a light body is because the greater gravitational force on the heavier body (its weight), acts on a correspondingly greater mass (inertia). The ratio of gravitational force to mass is the same for every body—hence all bodies in free fall accelerate equally.

hope helpful~

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Answer:

no solution

Step-by-step explanation:

solution would occur where the lines intersect; parallel lines will never intersect

Answer:

Top left

Step-by-step explanation:

Answer:

b<11=board is shorter then

b>11=more then 11 books

b<12=fewer then 12

b>12=taller then 12

Hope This Helps!!!

Answer:

68

Step-by-step explanation:

both angles added should equal to 90

x = 90-22

x = 68

CHECK

68+ 22

90

.˙. x is equal to 68

Answer:

(u+2)-8

Step-by-step explanation:

sum is addition, less than is subtraction

Answer:

34

Step-by-step explanation:

4(8.5) = 34

[tex]\dfrac{6+ \sqrt{27}}{4-\sqrt3} \\\\\\=\dfrac{\left(6+\sqrt{27}\right)\left(4+\sqrt 3 \right)}{\left(4-\sqrt 3\right) \left(4+\sqrt 3\right)}\\\\\\=\dfrac{24+6\sqrt 3+4\sqrt{27}+\sqrt{27\cdot 3}}{4^2 - \left(\sqrt 3 \right)^2}\\\\\\=\dfrac{24+6\sqrt3+4\sqrt{9\cdot 3} +\sqrt{81}}{16-3}\\\\\\=\dfrac{24+6\sqrt 3 +12\sqrt 3 + 9 }{13}\\\\\\=\dfrac{33+18\sqrt 3}{13}\\\\\\\text{Hence, r = 33 and s = 18}[/tex]

Answer:

1.17m²

Step-by-step explanation:

Total area of cardboard=

[tex]1.6 \times 0.8 = 1.28m {}^{2} [/tex]

Area of circular piece=

[tex]\pi \: r {}^{2} = ( \frac{22}{7} )(0.12) {}^{2} = \frac{198}{4375} m {}^{2} [/tex]

Area of rectangular piece=

[tex]0.2 \times 0.15 = 0.03m {}^{2} [/tex]

Area of 2 triangular pieces=

[tex]2( \frac{1}{2} \times 0.3 \times 0.1) = 0.03m {}^{2} [/tex]

Remaining area of the cardboard= Total area of cardboard - circular piece - 2 triangular pieces

[tex]1.28 - \frac{198}{4375} - 0.03 -0.03 = \frac{21083}{17500} =1.17m {}^{2} [/tex]

Answer: put 14

Step-by-step explanation:

Answer:

Step-by-step explanation:

Miles per hour is a speed and we usually just hear the number of how fast a car or a rocket or meteor is going. We look at our speedometer in the car and see how fast we're driving, 35mph or 73mph

But it is literally a formula. Miles on top and hours on the bottom, like a fraction. If the numbers you're given are in miles and in hours, your can just fill in the numbers and simplify.

Your numbers are also fractions, so it looks a little scary, but no worries, you can simplify it.

You have 1/2 on top and 1/16 on the bottom. A fraction bar is just a division sign, we're going to divide 1/2 ÷ 1/16 We do this by using the rule:

Keep Change Flip

1/2 Keep

___ Change

1/16 Flip

Keep the 1/2

Change ÷ to *

Flip the 1/16

So it becomes 1/2* 16/1

1/2 * 16 is 8

8 miles per hour is your answer.

If fractions are too terrifying, you could just change 1/2 to .5 and

change 1/16 to .0625

.5 ÷ .0625= 8

Answer: 8mph

The meaning of the inequality statement which has the greater than symbol ">" is best described as "20.2  miles is greater than 17.6 miles"

In any equality expression, there are mostly two sides, the left hand side and the right hand side, and the expression is read from left to right.

So, whenever we have an expression to interpret, we read from the left, then state the sign which can be less than sign "<" or greater than sign ">"

Learn more about inequality at:

https://brainly.com/question/11713066

Answer: SU = 4(1) + 1 = 5

Step-by-step explanation:

Since T is on segment SU we know the whole is eqaul to the sum of it’s parts.

ST + TU = SU substitute

3x - 1 + 3x = 4x + 1 simplify

6x - 1 = 4x + 1 solve for x

2x = 2

x = 1

ST = 3(1) -1 = 2

TU = 3(1) = 3

SU = 4(1) + 1 = 5

Answer: your answer would be 2

Step-by-step explanation:

Answer:

Its answer is 32.33

Step-by-step explanation:

Answer:

[tex]x=k\pi[/tex] for any integer [tex]k[/tex]

Step-by-step explanation:

To solve the problem we must know about the sine function.

In [tex]y= sin(k\pi)[/tex], the value of k will be any integer to form a circle.

Given in the question :

Among all the options given,

[tex]y= sin(k\pi)[/tex] will always give 0, since the value of [tex]\pi[/tex] is [tex]360^0[/tex]. So, if you multiply any integer to [tex]\pi[/tex] the result will always give a full circle.

therefore, the value of  [tex]sin(k\pi)[/tex] will always remains 0.

Hence, In [tex]y= sin(k\pi)[/tex], the value of k will be any integer to form a circle.

Learn more about Sine function:

https://brainly.com/question/2141050

Answer:

Poor Alex, I know how they feel, I got a dog myself.

The amount of time between

11:41 pm to 12:09 am is

19 minutes (to 12 am, 60 minutes to next hour) + 9

which is 28 minutes for the first dog barking session

the second time is 35 minutes,

using same method as before.

adding the two separte barking sessions we get

35+28= 63 minutes

which is equivelant to 1 hour and 3 minutes.

In conclusion the dog barks for 1 hour and 3 minutes in total.

Answer:

Area = 2(5x - 4) + 2(5x)

Step-by-step explanation:

Perimeter is the sum of twice the width and twice the length of the rectangle. And since the question is asking us for an equation, we need to write, Area = 2(5x - 4) + 2(5x). When you are required to find the value of x with a given area, just plug that area into the equation, distribute, and simplify to get x.

Using the slope formula, it is found that the slope is of 0.09375 < 0.1, hence, it meets the requirements.

The slope of a ramp is given by it's height divided by it's length, that is:

[tex]m = \frac{h}{l}[/tex]

In this problem:

Then, the slope is given by:

[tex]m = \frac{h}{l} = \frac{75}{800} = 0.09375[/tex]

The slope is of 0.09375 < 0.1, hence, it meets the requirements.

A similar problem about the use of slopes in ramps is given at https://brainly.com/question/18090623

Answer:

390.377

Step-by-step explanation:

pi*r^2

Answer:

  (a)  -∞ < x < ∞

Step-by-step explanation:

Unlike the square root function, the cube root function is defined for all values of its argument. Here, x can take on any value and the function will be defined for that value.

  -∞ < x < ∞

Answer:

2x+6

Step-by-step explanation:

Perimeter of a rectangle= 2(length + width)

12x+ 4= 2(length + 4x-4)

2(6x+2)= 2(length + 4x-4)

divide both sides by 2

6x+2= length+4x-4

length = 2x +6