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2 years ago

What is a repeating decimal between -2 1/3 and -2 1/5.

Mathematics

1 answer:

In-s [12.5K]2 years ago

7 0

The repeating decimal here is -2 1/3

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PLS HELP <br><br>*50 points*

snow_tiger [21]

Remember that there is 100 centimeters in a meter, and 1000 meters in a kilometer. If you multiply both values together (so you have a conversion of centimeters to kilometers) you get 100,000. Therefore, 100,000 centimeters makes a kilometer. Divide 320,000 by 100,000 and you get 3.2. Therefore, a centimeter would represent 3.2 kilometers.

8 0

2 years ago

A rectangular table is fivetimes as long as it is wide. if the area is 80ftsquared,find the length and the width of the table.

SOVA2 [1]

A = L * W
A = 80
L = 5W

80 = W(5W)
80 = 5W^2
80/5 = W^2
16 = W^2
sqrt 16 = W
4 = W <=== width is 4 ft

L = 5W
L = 5(4)
L = 20 <=== length is 20 ft

3 0

2 years ago

Given that the expression 2x^3 + mx^2 + nx + c leaves the same remainder when divided by x -2 or by x+1 I prove that m+n =-6

Alla [95]

Given:

The expression is:

$2x^3+mx^2+nx+c$

It leaves the same remainder when divided by x -2 or by x+1.

To prove:

$m+n=-6$

Solution:

Remainder theorem: If a polynomial P(x) is divided by (x-c), thent he remainder is P(c).

Let the given polynomial is:

$P(x)=2x^3+mx^2+nx+c$

It leaves the same remainder when divided by x -2 or by x+1. By using remainder theorem, we can say that

$P(2)=P(-1)$ ...(i)

Substituting $x=-1$ in the given polynomial.

$P(-1)=2(-1)^3+m(-1)^2+n(-1)+c$

$P(-1)=-2+m-n+c$

Substituting $x=2$ in the given polynomial.

$P(2)=2(2)^3+m(2)^2+n(2)+c$

$P(2)=2(8)+m(4)+2n+c$

$P(2)=16+4m+2n+c$

Now, substitute the values of P(2) and P(-1) in (i), we get

$16+4m+2n+c=-2+m-n+c$

$16+4m+2n+c+2-m+n-c=0$

$18+3m+3n=0$

$3m+3n=-18$

Divide both sides by 3.

$\dfrac{3m+3n}{3}=\dfrac{-18}{3}$

$m+n=-6$

Hence proved.

7 0

2 years ago

Look at the following pairs of numbers (x, y).

katrin2010 [14]

Step-by-step explanation:

Taking the first coordinate point (3,16.5)

where x= 3 and y= 16.5

$\frac{y}{x} = \frac{16.5}{3}$

$\frac{y}{x} = 5.5$

$y = 5.5x$

optionB

8 0

3 years ago

Read 2 more answers

A trapezoid has a base of two and six and an area of 24 square units. What is the height?

Nezavi [6.7K]

$\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=&\stackrel{bases}{parallel}\\ &sides\\ h=&height\\ \cline{1-2} a=&2\\ b=&6\\ A=&24 \end{cases}\implies 24=\cfrac{h(2+6)}{2}\implies 24=\cfrac{h(8)}{2} \\\\\\ 24=4h\implies \cfrac{24}{4}=h\implies 6=h$

8 0

3 years ago