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4 years ago

Select the postulate that is Illustrated for the real numbers 3 + 2 = 2 + 3

1 answer:

7 0

Commutative postulate for addition is Illustrated for the real numbers 3 + 2 = 2 + 3. Commutative Law of Additi): If a and b are in N, then a + b = b + a. An operation is commutative if you can change the order of the numbers involved without changing the result. Addition and multiplication are both commutative

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A country's population in 1992 was 103 million. in 1997 in was 108 million. estimate the population in 2004 using the exponentia

BartSMP [9]

108=103e^(5k)

108/103=e^(5k) take the natural log of both sides

ln(108/103)=5k

k=ln(108/103)/5

k≈0.00948

P=103e^(12*0.00948)

P≈115 million (to nearest million)

7 0

3 years ago

compute the value of the discriminant and give the number of real solutions of the quadratic equation. -2x²+3x+5=0

SCORPION-xisa [38]

Given a quadratic equation in standard form

$y=ax^2+bx+c$

The discriminant D

$D=b^2-4ac$

tells the types of roots the equation has.

In this case, we have

$\begin{gathered} -2x^2+3x+5=0 \\ a=-2 \\ b=3 \\ c=5 \end{gathered}$

Then, the discriminant of this quadratic equation will be

$\begin{gathered} D=b^2-4ac \\ D=(3)^2-4(-2)(5) \\ D=9+40 \\ \mathbf{D=49} \end{gathered}$

Finally, the value of discriminat is 49 and as he discriminant is greater than zero then this quadratic equation has 2 different real solutions.

8 0

1 year ago

Solve these simultaneous equations Using the algerbraic method

kherson [118]

The second equation equals: 3X +18y=60 (Both sides times 3)
And then use this new equation minus the first equation, you will get:
Left side: (3X +18y) - (3x+6y)
Right side: 60-30
So 12y=30
Then y=2.5
Take y value into one of the three equations, you will get x=5

or

in another easier way:

Directly minus the second equation from the first one:
(3x+6y) -(X+6y)=10
2X = 10
X = 5
Get Y is easy, Y=2.5

4 0

4 years ago

Help me & I'll help you in return??Need expert answer

Alenkasestr [34]

Answer:

(y-24)=-7(x+4)

Step-by-step explanation:

To write the equation of a line we must have a slope and a point. To find the slope we use the slope formula and substitute (x,y) points in it as shown below:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{24--53}{-4-7}=\frac{24+53}{-4+-7}=\frac{77}{-11}=\frac{-7}{1}=-7$

Now that we have the slope, plug in the slope and choose one point to plug into the point slope formula. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.

(y-24)=-7(x--4)

(y-24)=-7(x+4)

5 0

3 years ago

Mia got 24 out of 30 problems correct. What percent is this?

tangare [24]

Answer:

80% (see below)

Step-by-step explanation:

24:30

24 ÷ 30 = 0.8

0.8 = 80%

Hope this helped! :)

6 0

3 years ago

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