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Juliette [100K]
3 years ago
5

Two less than 3/2 of a number (x) is no more than 5 1/5

Mathematics
1 answer:
alexandr402 [8]3 years ago
5 0
3/2 of a number could be 3/2x. two less than is thus 3/2x-2. no more than means less than or up to or ≤. finally,

3/2x-2≤5 1/5
3/2x≤26/5+10/5
3/2x≤16/5
x≤16/5*2/3
x≤32/15. or x ≤ 2 2/15
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7 is what percent of 8
11Alexandr11 [23.1K]

Answer:

87.5%

Step-by-step explanation:

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7 0
3 years ago
PLZ ANSWER ASAP! 15 points
Mariulka [41]

Answer: THe last one.

Step-by-step explanation:

This question is, in essence, basically asking which numbers are less than -3. Looking at the numbers, it is clearly the last set.

5 0
3 years ago
The length of a swimming pool is 10 ft shorter than twice the width. the length is 35 ft. what is the width
Hatshy [7]
Okay so we need to figure out the width of the swimming pool using the length, and we know the width is 10 ft shorter than twice the width. I believe the easiest way to do this would be to first do 35-10, and then divide it in half. That gives us 12.5. To check our work I'll do the problem 12.5+12.5+10=35.

The width of the swimming pool is 12.5 ft.
8 0
3 years ago
Finding a polynomial of a given degree with given zeros
galben [10]

Since f(x) is a polynomial with 3rd degree, then it will have 3 roots (zeroes)

One of them is real and the other two are complex conjugate roots

Since the real root is 4, then

x = 4

Since the complex root is (1 - i), then

The other root will be the conjugate of it (1 + i)

x = (1 - i)

x = (1 + i)

To find f(x) we will multiply the three factors of it

We can get the factors from the zeroes

x=4

Subtract 4 from both sides

\begin{gathered} x-4=4-4 \\ x-4=0 \end{gathered}

The first factor is (x - 4)

\begin{gathered} x=1-i \\ x-(1-i)=(1-i)-(1-i) \\ x-1+i=0 \end{gathered}

The second factor is (x - 1 + i)

The third factor is (x - 1 - i)

f(x)=(x-4)(x-1+i)(x-1-i)

We will multiply them to find f(x)

\begin{gathered} (x-1+i)(x-1-i)= \\ x^2-x-ix-x+1+i+ix-i-(i^2)= \\ x^2-2x+1-(-1)= \\ x^2-2x+1+1= \\ x^2-2x+2 \end{gathered}

Multiply it by (x - 4)

\begin{gathered} f(x)=(x-4)(x^2-2x+2) \\ f(x)=x^3-2x^2+2x-4x^2+8x-8 \\ f(x)=x^3-6x^2+10x-8 \end{gathered}

The answer is

f(x)=x^3-6x^2+10x-8

5 0
1 year ago
Clarke borrows $16,000 to buy a car. He pays simple interest at an annual rate of 6% over a period of 3.5 years. How much does h
mr Goodwill [35]

Answer:

The total amount he will altogether be: $19360

Step-by-step explanation:

Given

  • Amount Borrowed = P = $16,000
  • Interest rate = r =  6% = 6/100 = 0.06
  • Time period = t = 3.5 years

To determine

  • Amount of interest = I
  • Total Amount altogether = A

Using the formula

I = Prt

substituting the values P = 16,000, r = 0.06, t = 3.5 years

I = 16,000 × 0.06 × 3.5

I = $3360

Thus, the interest amount = $3360

Therefore, the total amount he will altogether:

A = P + I

A = 16,000 + 3360

A = $19360

Therefore, the total amount he will altogether be: $19360

4 0
3 years ago
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