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riadik2000 [5.3K]
3 years ago
7

Factor each polynomial using the Greatest Common Factor. ​

Mathematics
1 answer:
gladu [14]3 years ago
6 0

Answer:

–9(3x³ – 8x + 9)

Step-by-step explanation:

–27x³ + 72x – 81

The above equation can be factorised as follow:

–27x³ = –3 * 3 * 3 * x * x * x

72x = 2 * 2 * 2 * 3 * 3 * x

–81 = –3 * 3 * 3 * 3

Common factor = 3 * 3

Greatest common factor = 9

Thus,

–27x³ + 72x – 81 = 9(–3x³ + 8x – 9)

–27x³ + 72x – 81 = –9(3x³ – 8x + 9)

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Eight more than the product of some number cubed and two. What does that look like written out?
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The Answer is 8+(x^3)*2
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3 years ago
A circle is cut into congruent sections and arranged to form a figure that approximates a parallelogram. Find the approximate he
Solnce55 [7]

Answer:

<h2>The height is 3.43 centimeters, approximately.</h2>

Step-by-step explanation:

Notice that there are 16 pieces from the circle, which means each sector has an angle of

\theta = \frac{360\°}{16}=22.5\°

Where all sectors have equal area.

Now, the area of the whole circle is 12.25 \pi \ cm^{2}, if we use the formula of its area, we'll find the radius of the circle

A= \pi r^{2}\\ 12.25\pi = \pi r^{2}\\ r=\sqrt{12.25} \approx  3.5

Notice that each piece works as an isosceles triangle, because each side is the radius, that is, they have the same length. So far, we know the sides of the isosceles triangle and one internal angle.

To find the height of the one piece, we need to use trigonometric reasons, because the height divides a triangle in two equal right triangles.

cos(11.25\°)=\frac{h}{3.5}\\ h=3.5 \times cos(11.25 \°)\\h \approx 3.43

Therefore, the height is 3.43 centimeters, approximately.

6 0
3 years ago
Liv hizo un ponche al mezclar 2,8 litros de jugo de naranja, 0,75 litros de jugo de piña y 1,2 litros de ginger ale. Liv dividir
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Answer is 24............
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3 years ago
Which expression is equivalent to 4/9 times 7
11111nata11111 [884]

Answer:

4/9 * 7 =3.11111111

Step-by-step explanation:

4/9 * 7 =3.11111111

8 0
3 years ago
Read 2 more answers
For the following exercises, find a formula for an exponential function that passes through the two points given. (0,6) and (3,7
kirill [66]

\boxed{\boxed{f(x)=6(5)^x}}

<h2>Explanation:</h2>

An exponential function is given by the following form:

y=ab^x \\ \\ Where: \\ \\ a \ is \ a \ constant \ and \ b \ is \ the \ base

Here we know two points:

(0,6) \ and \ (3,750)

\bullet \ (0,6) \\ \\ x=0, \ y=6 \\ \\ 6=ab^0 \\ \\ \boxed{a=6} \\ \\\ \\ \bullet \ (3,750) \\ \\ x=3, \ y=750 \\ \\ 750=6b^3 \\ \\ b^3=\frac{750}{6} \\ \\ b=\sqrt[3]{125} \\ \\ \boxed{b=5}

Finally, our exponential function is:

\boxed{\boxed{f(x)=6(5)^x}}

<h2>Learn more:</h2>

Behavior of functions: brainly.com/question/12891789

#LearnWithBrainly

5 0
4 years ago
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