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2 years ago

Which expression can be used to find the sum of the polynomials? (9 – 3x2) (–8x2 4x 5)

Mathematics

2 answers:

SIZIF [17.4K]2 years ago

7 0

For this case we have:

Polynomial 1: $P (x) = 9-3x ^ 2$

Polynomial 2: $Q (x) = - 8x ^ 2 + 4x + 5$

Sorting the polynomials:

Polynomial 1: $P (x) = - 3x ^ 2 + 9$

Polynomial 2: $Q (x) = - 8x ^ 2 + 4x + 5$

Adding term to term (similar) we have:

$P (x) + Q (x) = (- 3-8) x ^ 2 + (0 + 4) x + (9 + 5)\\P (x) + Q (x) = - 11x ^ 2 + 4x + 14$

Answer:

$A (x) = P (x) + Q (x) = - 11x ^ 2 + 4x + 14$

GarryVolchara [31]2 years ago

7 0

It seems that you missed the choices of the given question above.
Anyway, here is the correct answer of the given polynomial above. The answer is [(-3x^2)+(-8x^2)]+4x+[9+5]. The expression that can be used to find the sum of the polynomials given above is [(-3x^2)+(-8x^2)]+4x+[9+5].

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Which table describes the behavior of the graph of f(x) = 2x3 – 26x – 24?

In-s [12.5K]

Answer:

For x∈ {-∞,-3} y<0, below x-axis

x∈ {-3,-1} y>0, above x-axis

x∈ {-1,4} y<0, below x-axis

x∈ {4,∞} y>0, above x-axis

Step-by-step explanation:

f(x)= $2x^{3}-26x-24$

$2x^{3}-26x-24$ =0

$2x^{3}-26x-24=0\\2x^{3}-2x-24x-24=0\\2x(x^{2} -1)-24(x+1)=0\\2x(x+1)(x-1)-24(x+1)=0\\(x+1)(2x^{2} -2x-24)=0\\=> x+1=0 => x_{1}=-1\\$

$=> 2x^{2} -2x-24=0\\=>2(x^{2} -x-12)=0\\=> x^{2} -x-12=0\\=> x^{2} -4x+3x-12=0\\=> x(x-4)+3(x-4)=0\\=> (x-4)(x+3)=0\\$

$=> x-4=0\\=> x_{2}=4\\=> x+3=0\\=>x_{3}=-3\\$

For x∈ {-∞,-3} y<0, below x-axis

x∈ {-3,-1} y>0, above x-axis

x∈ {-1,4} y<0, below x-axis

x∈ {4,∞} y>0, above x-axis

7 0

2 years ago

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Theresa has hired Chuck and Diana to paint a fence. Diana can paint 150 fence posts in the same time it takes Chuck to paint 130

Alenkasestr [34]

Answer: Chuck can paint 65 posts per hour.

Step-by-step explanation:

The data we have here is:

Diana can paint 150 fence posts in a time T

Chuck can pint 130 fence posts in a time T.

In one hour, Diana can paint 10 more fence posts than Chuck.

If D is the hourly rate of Daian, and C is the hourly rate for Chuck, we have:

D = 150/T

C = 130/T

D = C + 10

we can replace the last equation in the first one and geT:

C + 10 =150/T

C = 130/T

Now we can replace the bottom equation in the above one:

130/T + 10 = 150/T

10 = 150/T - 130/T = 20/T

T*10 = 20

T = 20/10 = 2

So T is 2 hours, then whe have:

D = 150post/2hours = 75 posts per hour.

C = 130 posts/2hours = 65 posts per hour.

4 0

2 years ago

Which properties are present in a table that represents an exponential function in the form y-b* when b > 1?

Oksana_A [137]

Answer:

Properties that are present are

Property I

Property IV

Step-by-step explanation:

The function given is $y=b^x$ where b > 1

Let's take a function, for example, $y=2^x$

Let's check the conditions:

I. As the x-values increase, the y-values increase.

Let's put some values:

y = 2 ^ 1

y = 2

and

y = 2 ^ 2

y = 4

So this is TRUE.

II. The point (1,0) exists in the table.

Let's put 1 into x and see if it gives us 0

y = 2 ^ 1

y = 2

So this is FALSE.

III. As the x-value increase, the y-value decrease.

We have already seen that as x increase, y also increase in part I.

So this is FALSE.

IV. as the x value decrease the y values decrease approaching a singular value.

THe exponential function of this form NEVER goes to 0 and is NEVER negative. So as x decreases, y also decrease and approached a value (that is 0) but never becomes 0.

This is TRUE.

Option I and Option IV are true.

7 0

2 years ago

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A ball on a string moves around a complete circle, once a second, on a frictionless, horizontal table. The tension in the string

ki77a [65]

The tension in the string balances out, and thus equals the centripetal force of the ball

T = mv^2/r

if it only takes half the time to finish one orbit it has to be moving at twice the original speed. 

And since v is squared T will increase by 4 

T' = m(2v)^2/r 

T' = 4mv^/r = 4T 

T' = 24.0 N

I hope my answer has come to your help. Have a nice day ahead and may God bless you always!

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2 years ago

The approximate areas of two states are listed below. Texas: 2.69\times10^5 square miles Rhode Island: 1.21\times10^3 square mil

Pavlova-9 [17]

Answer:

2.6779*10^5

Step-by-step explanation:

The problem given is 2.69*10^5 - 1.21*10^3 which is 269000-1210=267790 -> 2.6779*10^5

3 0

1 year ago

Read 2 more answers