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Grace [21]
3 years ago
14

Are 2/3 and 2/6 the same?

Mathematics
2 answers:
ANTONII [103]3 years ago
6 0
No they aren't. 2/3 is greater than 2/6
xz_007 [3.2K]3 years ago
5 0

Answer:

No they are not this is because 2/3 is greater than 2/6

Step-by-step explanation:

hope this helps! have a wonderful day!

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Which ordered pairs are solutions to the inequality y−2x≤−3?
My name is Ann [436]

we will proceed to resolve each case to determine the solution

we have

y-2x \leq -3

y\leq2x-3

we know that

If an ordered pair is the solution of the inequality, then it must satisfy the inequality.

<u>case a)</u> (5,-3)

Substitute the value of x and y in the inequality

-3\leq2*5-3

-3\leq7 -------> is true

so

The ordered pair (5,-3) is a solution

<u>case b)</u> (0,-2)

Substitute the value of x and y in the inequality

-2\leq2*0-3

-2\leq-3 -------> is False

so

The ordered pair (0,-2) is not a solution

<u>case c)</u> (-6,-3)

Substitute the value of x and y in the inequality

-3\leq2*-6-3

-3\leq-15 -------> is False

so

The ordered pair(-6,-3) is not a solution

<u>case d)</u> (1,-1)

Substitute the value of x and y in the inequality

-1\leq2*1-3

-1\leq-1 -------> is True

so

The ordered pair (1,-1) is a solution

<u>case e)</u> (7,12)

Substitute the value of x and y in the inequality

12\leq2*7-3

12\leq11 -------> is False

so

The ordered pair (7,12) is not a solution

Verify

using a graphing tool

see the attached figure

the solution is the shaded  area below the line

The points A and D lies on the shaded area, therefore the ordered pairs A and D are solution of the inequality

6 0
3 years ago
Read 2 more answers
Work out the nth term in 9 6 3 0
Angelina_Jolie [31]

Answer:

nth term--n+3

Step-by-step explanation:

numbers increase by add three each time

8 0
3 years ago
A certain college graduate borrows 7864 dollars to buy a car. The lender charges interest at an annual rate of 13%. Assuming tha
White raven [17]

Answer:

Therefore rate of payment = $ 3145.72

Therefore the rate of interest = =$1573.17

Step-by-step explanation:

Consider A represent the balance at time t.

A(0)=$ 7864.

r=13 % =0.13

Rate payment = $k

The balance rate increases by interest (product of interest rate and current balance) and payment rate.

\frac{dB}{dt} = rB-k

\Rightarrow \frac{dB}{dt} - rB=-k.......(1)

To solve the equation ,we have to find out the integrating factor.

Here p(t)= the coefficient of B =-r

The integrating factor =e^{\int p(t) dt

                                     =e^{\int (-r)dt

                                     =e^{-rt}

Multiplying the integrating factor the both sides of equation (1)

e^{-rt}\frac{dB}{dt} -e^{-rt}rB=-ke^{-rt}

\Rightarrow  e^{-rt}dB - e^{-rt}rBdt=-ke^{-rt}dt

Integrating both sides

\Rightarrow \int e^{-rt}dB -\int e^{-rt}rBdt=\int-ke^{-rt}dt

\Rightarrow e^{-rt}B=\frac{-ke^{-rt}}{-r} +C        [ where C arbitrary constant]

\Rightarrow B(t)=\frac{k}{r} +Ce^{rt}

Initial condition B=7864 when t =0

\therefore 7864= \frac{k}{r} - Ce^0

\Rightarrow  C= \frac{k}{r} -7864

Then the general solution is

B(t)=\frac{k}{r}-( \frac{k}{r}-7864)e^{rt}

To determine the payment rate, we have to put the value of B(3), r and t in the general solution.

Here B(3)=0, r=0.13 and t=3

B(3)=0=\frac{k}{0.13}-( \frac{k}{0.13}-7864)e^{0.13\times 3}

\Rightarrow- 0.48\frac{k}{0.13} +11614.98=0

⇒k≈3145.72

Therefore rate of payment = $ 3145.72

Therefore the rate of interest = ${(3145.72×3)-7864}

                                                 =$1573.17

4 0
3 years ago
17. Solve for<br> for x.<br> M<br> (10x - 45)<br> N<br> R<br> Р<br> (6x - 1)
Mashutka [201]

Looks confusing in the way you put it.

4 0
3 years ago
The equation y=x^2-12x+45 models the number of books y sold in a bookstore x days after an award-winning author appeared at an a
choli [55]

Answer:

3.2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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