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stiv31 [10]
3 years ago
12

Which polynomial represents (6 x 2 −x−9)(4x−7)?

Mathematics
1 answer:
nydimaria [60]3 years ago
6 0

Answer:

The answer to your question is 24x³ - 46x²- 28x + 63

Step-by-step explanation:

Data

               (6x² - x - 9)(4x - 7)

Process

1.- Multiply 4x by the three terms of the first polynomial

           (6x² - x - 9)(4x) = 24x³ - 4x² - 36x

2.- Multiply -7 by the three terms of the first polynomial

           (6x² - x - 9)(-7) = -42x² + 7x + 63

3.- Add both result

           24x³ - 4x² - 36x -42x² + 7x + 63 = 24x³ - 46x²- 28x + 63

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Which is not true about the function graphed<br> below?
Tom [10]

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2 years ago
Question 1
Tanzania [10]

Answer:

Mortality rate is 0.5 per 1000 habitant

the number of deaths have increased (from 210 to 250)

Step-by-step explanation:

Hello

Mortality rate is the number of deaths in a specific population,usually expressed in units of deaths per 1,000 individuals per year

Mortality\ rate\ (S)= \frac{(D)}{(P)} *10^{n} \\\\\\\\

where

S=Mortality rate

D=deaths

P= population

n= is a conversion form ,such as multiplying by  10^{3}=1000, to  get mortality rate per 1,000 individuals( we will use n=3)

step 1

asign

S=unknown

D=250

P=500000

n=3, (for each  1000 people)

step 2

Replace

S=\frac{250}{500000}*1000\\S=\ 0.5\ per\ 1000

Mortality rate is 0.5 per 1000 habitant

step 3

what if S=0.42

S=0.42(assuming it is 0.42 per 1000,n=3)

D=unknown

P=500000

(S)= \frac{(D)}{(P)} *10^{n}\\\\isolatin D\\\\S*P=D*10^{n}\\ D=\frac{S*P}{10^{n} } \\\\and\ replacing\\\\D=\frac{(0.42)*(500000)}{10^{3} }\\\\ Deaths=210\\

the number of deaths have increased (from 210 to 250)

Have a great day

5 0
3 years ago
Bismuth-210 is an isotope that radioactively decays by about 13% each day, meaning 13% of the remaining Bismuth-210 transforms i
Luden [163]

Answer:

Approximately 76.5 mg.

Step-by-step explanation:

Given,

The initial quantity of the Bismuth-210, P = 233 mg,

Also, the rate of decay per day, r = 13 %

Thus, the quantity of the Bismuth-210 after 8 days would be,

A=P(1-\frac{r}{100})^8

=233(1-\frac{13}{100})^8

=233(1-0.13)^8

=233(0.87)^8

=76.4733194697

\approx 76.5\text{ mg}

3 0
3 years ago
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