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ValentinkaMS [17]
3 years ago
5

Use synthetic division to divide x^3+5x^2−9x−7 by x−2 1 5 -9 -7 The quotient is: _____ The remainder is: ______

Mathematics
1 answer:
RoseWind [281]3 years ago
5 0

Answer:

 The quotient is x² + 6x +3

       Remainder  = -1      

 Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given Polynomial equation

   f(x) = x³+5x²−9x−7

By using synthetic division

 

 <em> x = 2  </em>         1       5       -9      -7

   <u>                   0       1       12     6</u>

  <u>                 1      6         3     </u><em><u> -1   </u></em><u>         </u>

 The quotient is x² + 6x +3

       Remainder  = -1      

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Please solve i will give brainiest 100 point question ****** do the whole page please need to pass or i will fail its my final t
dmitriy555 [2]

Answer:

1. Find the difference between the areas.

<u>Area of the small rectangle</u>: (x+2)(x+7)=x^2+7x+2x+14=x^2+9x+14

<u>Area of the big rectangle</u>: (x+9)(x+11)=x^2+11x+9x+99=x^2+20x+99

The difference is: 11x+85

( x^2+20x+99)- (x^2+9x+14)=x^2+20x+99-x^2-9x-14=11x+85

2.

You can solve this question just by looking at the graph.

a) The height is 4 meters.

f(d)=h=-2d^2+7d+4

To find the height of the bleachers, we should consider the moment before the shoot, when the distance is equal to 0.

f(0)=h=-2(0)^2+7(0)+4

h=4

The height is 4 meters.

b) 9 meters.

For d=1

f(1)=h=-2(1)^2+7(1)+4

f(1)=h=-2+7+4

h=9

b) The ball travels 4 meters.

But to calculate it, it is when h=0

0=-2d^2+7d+4

Using the quadratic formula:

$d=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$d=\frac{-7 \pm \sqrt{7^2-4\left(-2\right)4}}{2\left(-2\right)}$

$d=\frac{-7\pm\sqrt{81}}{-4}$

$d=\frac{-7\pm9}{-4}$

It will give us to solutions, once it is a quadratic equation, but we are talking about a positive distance.

$d=-\frac{1}{2} \text{ or }d=4$

3.

In this question, we have to find the area of the cylinder and the sphere.

From the information given, we have

a = 5mm and d = 5mm, therefore the radius is 2.5 mm.

The volume of a cylinder:

V=\pi r^2h

V=\pi (2.5)^2 \cdot 5

V=31.25 \pi

V_{c} \approx 98.17 \text{ m}^3

The volume of the sphere:

$V=\frac{4}{3}  \pi r^2$

V_{s} \approx 65.4 \text{ m}^3

The volume of the capsule is approximately 163.57  \text{ m}^3

3 0
3 years ago
MA = (4x - 2) and mzB = (11x + 17)°. Find x if the angles are
charle [14.2K]
The answer is a.) 165 sorry if that’s wrong but i hope it’s right
3 0
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Andrews [41]

Answer: a) 0 and 0.01 b) 0.99 and 1 c) 0.3 d) 0.6

Step-by-step explanation:

Probability is the likelihood that an event will occur. Probability values always lies between 0 and 1 0<P<1

A sure event occurs when the probability is 1 or values pretty close to 1 while probability of an impossible event is 0 or values close to 0. Looking at the given probability values, we can conclude that!

a) 0 and 0.01 = The event is impossible, it would never occur.

b) 0.99 and 1 - The event is certain, it would always occur.

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d) 0.6 - The event will occur more often than not.

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mel-nik [20]

Answer:

A

Step-by-step explanation:

Noting that i² = - 1

Given

(7 - 3i)(8 + 4i) ← expand factors using FOIL

= 56 + 28i - 24i - 12i²

= 56 + 4i - 12(- 1)

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One more than the difference between 18 and seven times a number is -9
Reptile [31]
(18-7x)+1= -9 Hope this helps ^^
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