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3 years ago

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:

Explanation:-

Given Polynomial equation

f(x) = x³+5x²−9x−7

By using synthetic division

x = 2 1 5 -9 -7

0 1 12 6

1 6 3  -1 

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.

Area of the small rectangle: $(x+2)(x+7)=x^2+7x+2x+14=x^2+9x+14$

Area of the big rectangle: $(x+9)(x+11)=x^2+11x+9x+99=x^2+20x+99$

The difference is: $11x+85$

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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.

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

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From the information given, we have

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

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$V=\pi r^2h$

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$V=31.25 \pi$

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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

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3 years ago

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Probability is a measure of how likely an event is to occur. Match the probabilities below with each statement. 0, 0.01, 0.3, 0.

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.

c) 0.3 - The event is highly unlikely, but it will occur once in a while.

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

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3 years ago

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mel-nik [20]

Answer:

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)

= 56 + 4i + 12

= 68 + 4i → A

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3 years ago

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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3 years ago

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

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