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erastovalidia [21]
3 years ago
15

What polynomial has roots of -5,-4 and 1

Mathematics
1 answer:
Semenov [28]3 years ago
7 0

x³ + 8x² + 11x - 20 ← the first on list

given the roots of a polynomial, say x = a, x = b and x = c

then the factors are (x - a), (x - b) and (x - c)

the polynomial is the product of the factors

f(x) = (x - a)(x - b)(x - c)

here x = - 5, x = - 4 and x = 1, hence factors are

(x + 5), (x + 4) and (x - 1)

f(x) =(x + 5)(x + 4)(x - 1) ← expanding factors gives

f(x) = (x² + 9x + 20)(x - 1) = x³ + 8x² + 11x - 20


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Y = 0.115x + 0.0045 , y = 0.499x – 0.22<br> solve for x
enyata [817]

Answer:

x=0.5612

Step-by-step explanation:

-Given the functions:

y=0.115x+0.0045\ \ \ \ ...i\\\\y=0.499x-0.22\ \ \ \ \ ...ii

We subtract equation i from ii to eliminate y and solve for x:

ii-i\\\\0=0.384x-0.2155\\\\0.384x=0.2155\\\\x=0.5612

Hence, the value of x is 0.5612

6 0
3 years ago
A bolt has 16-1/2 turns per inch. How many bolts would be in 2-1/2 inches?
ohaa [14]

Answer:

41 1/4

Step-by-step explanation:

Change 16  1/2 to a mixed number

16 1/2 = (2*16+1)/2 = 33/2

Change 2 1/2 to a mixed number = (2*2+1)/2 = 5/2

Multiply the turns per inch by the inches

33/2 * 5/2 =165/4

Change this back to a mixed number

4 goes into 165 41 times

41*4 = 164   there is 1 left over

41 1/4

6 0
3 years ago
Read 2 more answers
The sum of 2 consecutive numbers is 37. Find the numbers. If x represents the smaller integer, then the larger integer is
NARA [144]

Answer:

x + 1

Step-by-step explanation:

There are a few ways this problem could be solved. The easiest route is to note that the first part of the question says "2 consecutive numbers". If the numbers are next to each other on a number line (consecutive) and x is the smaller number, the larger number is x + 1.

To check, let's find the two numbers. We know the numbers are next to each other on a number line and that together, they equal 37. Let's begin with 15 and 16.

15 + 16 = 31

These numbers are too low, as they should add to 37. Let's try 18 and 19.

18 + 19 = 37

There are the two correct numbers. If x = the smaller number, x = 18.

18 + 1 = 19

Since this is correct, we know for sure that the answer is x + 1.

6 0
3 years ago
Judy is a single woman, 25 years old. Her take home pay is $2314.92/month. She also earns $48 interest per month on her savings
Leni [432]

The monthly budget plan for Judy includes all of her income and expenses, the total balance is $ 2362.92 and she spends $ 1083.

<h3>What is the monthly budget?</h3>

A monthly budget is a personal spending plan that you use to track your monthly income and costs.

The given data in the problem is;

Home pay = $2314.92/month.

Interest earned = $48 / month

House rent = $825/month

EMI of student loan =  $258/month

Total earning per month = $2314.92 +  $48

Total earning per month = $ 2362.92

Amount she spends per month = $825/month + $258

Amount she spends per month = $ 1083

Hence, the total balance will be $ 2362.92 and she spend $ 1083.

To learn more about the monthly budget refer to:

brainly.com/question/570904

#SPJ1

3 0
2 years ago
Elena randomly chooses a number from 1 to 10. What is the probability she chooses a number greater than 5?
zepelin [54]

ANSWER

P(E)=\frac{1}{2}

EXPLANATION

From the given information, Elena chooses a number from 1 to 10.

The sample space is

S={1,2,3,4,5,6,7,8,9,10}

n(S)=10

The numbers greater than 5 are:

E={6,7,8,9,10}

n(E)=5

The probability that, she chooses a number greater than 5 is:

P(E) =  \frac{n(E)}{n(S)}

Substitute the values,

P(E) =  \frac{5}{10}

P(E) =  \frac{1}{2}

5 0
3 years ago
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