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2 years ago

Help, Please!

Mathematics

1 answer:

Mnenie [13.5K]2 years ago

3 0

Answer:

p(x) = x⁶- 2x⁵- 10x⁴ + 20x² + 9x - 18

d(x) = (x - 2)

r = 0

f(x) = x⁵ - 10x³ + 9

Step-by-step explanation:

From the synthetic division given in the question,

Polynomial p(x) = x⁶- 2x⁵- 10x⁴ + 20x² + 9x - 18

Divisor d(x) = (x - 2)

After synthetic division of this polynomial by 2 we get the remainder,

r = 0

And the new polynomial f(x) that can be used further to find the other factors will be,

f(x) = x⁵ + (0).x⁴ + (-10)x³ + (0).x² + 9

f(x) = x⁵ - 10x³ + 9

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Verdich [7]

Answer:

system of equations are

y=53x + 10, y=55x

Step-by-step explanation:

y=mx+b where x is the number of tickets purchased and y is the total cost.

We need to frame the equation for each option

Option 1: $53 for each ticket plus a shipping fee of $10

1 ticket cost = 53

So x tickets cost = 53x

shipping fee = $10 so b= 10

So equation becomes y=53x + 10

Option 2: $55 for each ticket and free shipping

1 ticket cost = 55

So x tickets cost = 55x

shipping fee =0 so b= 0

So equation becomes y=55x

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2 years ago

Janie flips a coin 70 times and records if it comes up heads. If getting heads is a success, what is the probability of a failur

lisov135 [29]

i believe the answer is 1/70

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3 years ago

The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. The cost of cultivating corn and wheat (includin

babunello [35]

Answer:

He should plant 100 acres of corn and 400 acres of wheat.

Step-by-step explanation:

This problem can be solved by a siple system of equations.

]x denotes the number of acres of corn

y denotes the number of acres of wheat

Building the system:

The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. This means that:

$x + y = 500$

The cost of cultivating corn and wheat (including seeds and labor) is $42 and $30 per acre, respectively. Jacob Johnson has $16,200 available for cultivating these crops. This means that:

$42x + 30y = 16,200$

So, we have the following system

$1) x + y = 500$

$2) 42x + 30y = 16,200$

If he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant?

$1) x + y = 500$

$2) 42x + 30y = 16,200$

I am going to write y as a function of x in 1), and replace in 2). So:

$x + y = 500$ means that $y = 500-x$

$42x + 30y = 16,200$

$42x + 30(500-x) = 16,200$

$42x + 15000 - 30x = 16,200$

$12x = 1,200$

$x = \frac{1,200}{12}$

$x = 100$

Now, going back to 1:

$y = 500 - x = 500 - 100 = 400$

He should plant 100 acres of corn and 400 acres of wheat.

5 0

2 years ago

This is hard i need help

taurus [48]

Answer:

a. 6 b. -2

Step-by-step explanation:

a. x^3 = 216

x = ³√216

x = 6

b. -n^3/4 = 2

-n^3 = 8

-n = ³√8

- n = 2

n = -2

3 0

2 years ago

Read 2 more answers

Which expression is equivalent to -2(-7h -

disa [49]

Answer:

a. 20h + 8

Step-by-step explanation:

-2(-7h-4) + 6h = 14h + 8 + 6h = 20h + 8

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2 years ago