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fiasKO [112]
2 years ago
10

What is 56/15 as a decimal rounded to the nearest tenth

Mathematics
2 answers:
frosja888 [35]2 years ago
8 0
56/15 = 3.7333333...

3.733333... —————> 3.7
stepladder [879]2 years ago
4 0

Answer:

3.73

Step-by-step explanation:

56/15

3 11/15

3.73

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Write an equation for the cubic polynomial function whose graph has zeroes at 2, 3, and 5.
TiliK225 [7]

we know that

For a polynomial, if x=a is a zero of the function, then (x−a) is a factor of the function. The term multiplicity, refers to the number of times that its associated factor appears in the polynomial.

So

In this problem

If the cubic polynomial function has zeroes at 2, 3, and 5

then

the factors are

(x-2)\\ (x-3)\\ (x-5)

Part a) Can any of the roots have multiplicity?

The answer is No

If a cubic polynomial function has three different zeroes

then

the multiplicity of each factor is one

For instance, the cubic polynomial function has the zeroes

x=2\\ x=3\\ x=5

each occurring once.

Part b) How can you find a function that has these roots?

To find the cubic polynomial function multiply the factors and equate to zero

so

(x-2)*(x-3)*(x-5)=0\\ (x^{2} -3x-2x+6)*(x-5)=0\\ (x^{2} -5x+6)*(x-5)=0\\ x^{3} -5x^{2} -5x^{2} +25x+6x-30=0\\ x^{3}-10x^{2} +31x-30=0

therefore

the answer Part b) is

the cubic polynomial function is equal to

x^{3}-10x^{2} +31x-30=0

7 0
2 years ago
Read 2 more answers
The time it takes to clean up after an anniversary party varies inversely as the number of people cleaning. If 3 people work tog
Norma-Jean [14]

Answer:

54minutes

Step-by-step explanation:

Let the time taken to clean up be t

Let the number of people cleaning be n

If the time it takes to clean up after an anniversary party varies inversely as the number of people cleaning then;

t = k/n

k is the constant of proportionality

If 3 people work together to clean, and took them 90 minutes, this means

at t = 90, n=3

Substitute

90 = k/3

k = 3×90

k = 270

To et the time it will take 5people to clean, the will say;

t =k/n

t =270/5

t = 54 minutes

Hence it will take 5 people 54minues to clean

3 0
2 years ago
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The measure of ZBC = 180°, and the length of AD and Date tool, which is the measure of ZACD?
Julli [10]

Answer:

B. 45°

Step-by-step explanation:

recall that Thales' theorem states that the diameter of a circle always subtends a right angle on any point on the circle.

what this means is that if ABC is the diameter of the circle, then AD and DC always meet at the circumference at 90°

in this case, if ∠ADC is 90° (by thales theorem), and AD = DC, then we have an isoceles triangle.

This also means that the base angles of the isoceles triangle, ∠DAC and ∠ACD must be equal.

recall that all interior angles of a triangle add up to 180°

180° = ∠ADC + ∠DAC +∠ACD

180° = ∠ADC + 2 ∠ACD

180° = 90° + 2 ∠ACD

2 ∠ACD = 90°

∠ACD = 45°

8 0
3 years ago
What is 62.4 ÷ 8 estimated
quester [9]

Answer:

7.8

Step-by-step explanation:

5 0
2 years ago
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Find the unit price for cheese that is sold in 12-ounce packages priced at $3.84
Alexus [3.1K]
Unit price = $3.84/12 = $0.32
7 0
3 years ago
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