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3 years ago

Solve the inequality. 3m ≤ –9 A.m ≥ –3 B.m ≤ –3 C.m ≥ 6 D.m ≤ –6

Mathematics

1 answer:

marin [14]3 years ago

6 0

$3m \leq -9\ /:3 \ \ \ \Rightarrow\ \ \ m \leq -3\ \ \ \Rightarrow\ \ \ Ans.\ B$

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Find the area of the shaded region. use 3.14 for pi. Round to the hundredths if necessary.

ludmilkaskok [199]

Answer:

122.46 cm²

Step-by-step explanation:

A = $\pi r^{2}$

~~~~~~~~~

$r_{1}$ = 8 cm

$r_{2}$ = 5 cm

A = 3.14 ( 8² - 5² ) ≈ 122.46 cm²

7 0

3 years ago

Divide f(x) by d(x), and write a summary statement in the form indicated.

Mandarinka [93]

Answer:

The correct option is B) $f(x) =(x^2+1)(x^2+4x+5)$

Step-by-step explanation:

Consider the provided function.

$f(x) = x^4 + 4x^3 + 6x^2 + 4x + 5$ and $d(x) = x^2+1$

We need to divide f(x) by d(x)

As we know: Dividend = Divisor × Quotient + Remainder

In the above function f(x) is dividend and divisor is d(x)

Divide the leading term of the dividend by the leading term of the divisor: $\frac{x^4}{x^2}=x^2$

Write the calculated result in upper part of the table.

Multiply it by the divisor: $x^2(x^2+1)=x^4+x^2$

Now Subtract the dividend from the obtained result:

$(x^4 + 4x^3 + 6x^2 + 4x + 5)-(x^4-x^2)=4x^3+5x^2+4x+5$

Again divide the leading term of the obtained remainder by the leading term of the divisor: $\frac{4x^3}{x^2}=4x$

Write the calculated result in upper part of the table.

Multiply it by the divisor: $4x(x^2+1)=4x^3+4x$

Subtract the dividend:

$(4x^3+5x^2+4x+5)-(4x^3+4x)=5x^2+5$

Divide the leading term of the obtained remainder by the leading term of the divisor: $\frac{5x^2}{x^2}=5$

Multiply it by the divisor: $5(x^2+1)=5x^2+5$

Subtract the dividend:

$(5x^2+5)-(5x^2+5)=0$

Therefore,

Dividend = $x^4 + 4x^3 + 6x^2 + 4x + 5$

Divisor = $x^2+1$

Quotient = $x^2+4x+5$

Remainder = 0

Dividend = Divisor × Quotient + Remainder

$f(x) = (x^2+1)(x^2+4x+5)$

Hence, the correct option is B) $f(x) =(x^2+1)(x^2+4x+5)$

3 0

3 years ago

Solve for x x+4/3 = 6

VladimirAG [237]

Answer:

x= 4 2/3

Step-by-step explanation:

Subtract 4/3 from 6 to get X! Hope this helped!

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=18%20-%204%20%20%5Cdiv%20%20%7B2%7D%5E%7B2%7D%20%20%5Ctimes%2010" id="TexFormula1" title="18 -

Vinvika [58]

The answer is 8
Order of operations:(Please Excuse My Dear Aunt Sally)
Parentheses
Exponents
Multiplication
Division
Add
Subtract
When it comes down to multiplication and division you do whichever comes first , left to right same with add and subtract so..
Step1: 2 squared = 4
Step2: 4/4=1
Step3: 1x10=10
18-10=8 . Final answer is 8

7 0

3 years ago

A and B are two events. Let P(A)=0.5 , P(B)=0.9 and P(A and B)=0.15 .

Nana76 [90]

Answer:

option-C

Step-by-step explanation:

we are given

Let P(A)=0.5

P(B)=0.9

P(A and B)=0.15

we know that