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spin [16.1K]
2 years ago
9

Factor the polynomial completely. 4x3 – 12x2 7x – 21 4x2(x – 3) 7(x – 3) Which is the completely factored polynomial? 4x2(x 4) 3

x2(x – 3) (4x2 – 7)(x 3) (4x2 7)(x – 3).
Mathematics
1 answer:
bixtya [17]2 years ago
7 0

Answer:

  (d)  (4x² +7)(x -3)

Step-by-step explanation:

This polynomial can be factored by factoring pairs of terms.

  = (4x³ -12x²) +(7x -21)

  = 4x²(x -3) +7(x -3)

  = (4x² +7)(x -3)

__

<em>Additional comment</em>

The answer choices suggest we're not interested in irrational or complex factors. The quadratic (4x² +7) could be factored into linear terms involving irrational complex numbers. The form for "difference of squares" would be used for the purpose.

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Which equation represents the following word problem? Grace is making a cake. The recipe calls for 21/2 cups of flour. If she ha
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Answer: c

Step-by-step explanation:

3/4x = 21/2

3 0
3 years ago
List the sides in order from shortest to longest j=33 k=71 l=76
zepelin [54]

Answer:

j = 33

k = 71

l = 76

thank you..

8 0
2 years ago
How much will it cost to print a circular sign with a radius of 1.1 feet if the printing company charges $27 per square foot? us
Serga [27]

Answer: To find the cost to print a circular frame, we need to first find the area of circle.

Given: r=1.1

We know that:

Area of circle =\pi \times r^{2}

                       =3.14 \times 1.1^{2}

                       =3.7994

Also we are given cost per square foot is $27

Therefore, the cost to print a circular sign with a radius of 1.1 feet is:

3.7994 \times 27= 102.58  or $102.58


                               

3 0
3 years ago
Use mental math to find the sum 326+402
Viefleur [7K]

Answer:

728

Step-by-step explanation:

326

<u>402</u>

728

4 0
3 years ago
Read 2 more answers
An archaeological team is excavating artifacts from a sunken merchant ship on the sea floor. To help with the exploration, the t
denis-greek [22]

Answer:

1) 1500 meters.

2)  3600 meters.

Step-by-step explanation:

Firstly we need to find the value of angle x in the given figure attached to the answer and then use the trignometric identity to calculate the value for 1) and 2) part.

as we know that the triangle is a right angled triangle also second angle is given so we can find the value of the third triangle using the sum of all the angles of a triangle is 180°.

x+67.4°+90°=180°

x=22.6

1)

Now we know that:

\sin x=\dfrac{a}{3900}\\\\\sin 22.6=\dfrac{a}{3900}\\\\0.3843=\dfrac{a}{3900}\\\\a=3900\times 0.3843\\\\a=1498.77

Hence to the nearest meter the value of a will be: a=1500 meter.

Hence, When the probe reaches the ocean floor, the probe will be approximately 1500 meters below the surface, measured vertically from the surface

2)

We are asked to find the value of 'b'.

As \cos x=\dfrac{b}{3900}\\\\\cos 22.6=\dfrac{b}{3900}\\\\0.9232=\dfrac{b}{3900}\\\\b=3900\times 0.9232\\\\b=3600.48

Hence to the nearest meter the value of b is 3600.

When the probe reaches the ocean floor, the horizontal distance of the probe from the team’s ship on the ocean surface will be approximately  3600 meters.

3 0
3 years ago
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