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SVETLANKA909090 [29]
2 years ago
8

Write a polynomial function of least degree with rational coefficients so that P(x)=0 has the given roots.

Mathematics
1 answer:
Fittoniya [83]2 years ago
3 0

Answer:

If P(x) has the roots -11 and 6, then its multipliers can be written as

Step-by-step explanation:

P(x)=(x+11)(x-6)

P(x)=x2-6x+11x-66

P(x) = x2+5x-66

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1 cup = 8 fluid ounces Does that mean it takes 24 fluid ounces of water to fill any 3 plastic cups?
Pavel [41]
Notice they say Plastic cups. Cups and plastic cups are not the same. Cups are a form of measurement while plastic cups are a container. This is not a true statement. Hope this helps!
3 0
3 years ago
Read 2 more answers
When it hatches from its egg, the shell of certain crab is 1cm across. When fully grown the shell is approximately 10cm across.
inn [45]
Well every time it gets rid of a shell it grows 1 1/3 times larger. So so to see how much it grows after the first time you say
1 cm * 1 1/3 = 1 1/3 cm

to get the next one you do the same
1 1/3 cm * 1 1/3 cm = 16/9

It will keep going multiplying by 1 1/3. So so we can say in an equation that the
(initial size) * 1 1/3 *(number of shells) = length

Or 1cm * 1 1/3 * n = L

We we know the final length is 10cm

So 1 1/3 * n = 10cm

n = 7.5shells

so approximately 7 or 8 shells
8 0
3 years ago
Can you put this equation > 3 in a number line.​
Marrrta [24]

Answer:

>3 means any number on the number line larger than 3, so the answer is yes

7 0
3 years ago
Sally works 40 hours a week and makes $20 an hour, but her kids are in child care each day and the day care center charges her $
Maslowich

Answer:

$11.25

Step-by-step explanation:

Multiply the number of hours she works by how much she gets paid per hour.

800

Multiply 50 times 7 (50 being the amount charged for her kid and 7 being the days of the week)

350

Subtract the 350 from the 800

450

Divide the 450 by the number of hours worked per week

450/40

Answer: 11.25

So Sally actually makes 11.25 per hour.

5 0
3 years ago
Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hu
dolphi86 [110]

Answer:

The monthly cost for 9 HCF is $38.54

Step-by-step explanation:

<em>The graph is missing; however, the question can still be solved</em>

Given

Slope = 1.55

When monthly cost = $47.84, Amount of water = 15 HCF

Required

Determine the monthly cost for 9 HCF

From the question, we understand that it is a linear function;

Linear functions are of the form

y = mx + b

Where y is the function of x and m is the slope

In this case; the function is the monthly water bill

and x is the amount of water

Solving for b

When monthly cost = $47.84, Amount of water = 15 HCF

The function is as follows;

47.84 = 1.55 * 15 + b

47.84 = 23.25 + b

Subtract 23.25 from both sides

47.84 - 23.25= 23.25 - 23.25 + b

24.59 = b

b = 24.59

Solving for the monthly cost for 9 HCF

Here, we have that

x = Amount\ of\ water = 9

m = Slope = 1.55

b = 24.59

Substitute these values in the linear function; y = mx + b

y = 1.55 * 9 + 24.59

y = 13.95 + 24.59

y = 38.54

<em>Hence, the monthly cost for 9 HCF is $38.54</em>

5 0
2 years ago
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