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Art [367]
2 years ago
11

78/14 Between which two consecutive whole numbers does this value lie? Enter your numbers in the box

Mathematics
1 answer:
Zigmanuir [339]2 years ago
5 0

Given number is 78/14.

We have to find two whole numbers between which given number 78/14 lies.

Let's convert that into mixed fraction.

To do that we divide 78 by 14 to find the quotient.

We see that 14 goes 5 times into 78 and leaves remainder of 8.

So we can rewrite 78/14 as 5\frac{8}{14}.

5\frac{8}{14} means little more than 5 but less than 6.

So required two whole numbers are 5 and 6.



You might be interested in
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
PLEASE help (desperate) :(
mars1129 [50]

Answer:

4= \sqrt{16} \\1.5   = \sqrt{2.25}\\8 = 6^{2} /9*2\\1 = \frac{12 - 2}{6 + 4}\\5 = \sqrt{16 + 9} \\9 = 63/3^{2} +|2|

6 0
2 years ago
A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 2 tables is $22. The total cost to re
Cloud [144]

Answer:

The cost to rent each chair and each table are $1.5 and $8.75 respectively

Step-by-step explanation:

Let x represent 1 chair

Let y represent 1 table

Therefore

3x + 2y = 22   ------------(1)

5x + 6y = 60   ------------(2)

Multiply (1) by 5 and (2) by 3

15x + 10y = 110   ----------(3)

15x + 18y = 180  ------------(4)

Subtract (3) from (4)

8y = 70

Divide through by 8

y = $8.75

Substitute y = 8.75 in (1)

3x + 2y = 22

3x + 2(8.75) = 22

3x + 17.5 = 22

Collect like terms

3x = 22 - 17.5

3x = 4.5

Divide through by 3

x =$1.5

6 0
2 years ago
Mike plans to paint a wall in his living room blue.that wall measures 10 feet tall and 8 feet wide.what is the area of the wall
Lorico [155]

Answer:

Step-by-step explanation:

L x W

10 x 8

<h3>80ft squared </h3><h3 /><h3 /><h3 />
5 0
2 years ago
Naudia rode her bike two miles south. Then, she went east for three miles. How far is she from her starting point? Round your
tia_tia [17]
You can see the answer down below

7 0
2 years ago
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