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3 years ago

What is a postulate?

Mathematics

2 answers:

zloy xaker [14]3 years ago

5 0

Answer:

A statement, also known as an axiom, which is taken to be true without proof. Postulates are the basic structure from which lemmas and theorems are derived.

Step-by-step explanation:

The Addition Postulate: If you have one apple and Sally has one apple, when you both add the same quantity to your existing number of apples, you'll still have the same number of apples. Using algebra, the postulate states:

If x = y, then x + 4 = y + 4

The Subtraction Postulate: If you have ten apples and Sally has ten apples, when you both subtract the same quantity of apples from your existing number of apples, you'll still have the same number of apples.

If x = y, then x - 3 = y - 3

Without being repetitive, these same principles apply to both multiplication and division.

The Multiplication Postulate: If x = y, then x * 3 = y * 3

The Division Postulate: If x = y, then x / 7 = y / 7

Vika [28.1K]3 years ago

3 0

Answer:

suggest or assume the existence, fact, or truth of (something) as a basis for reasoning, discussion, or belief.

Step-by-step explanation:

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The graph represents the cost of a subscription to a newspaper. A coordinate plane showing Ferry Ride Cost with Number of Person

allochka39001 [22]

Answer:

The constant of variation is $1.50

Step-by-step explanation:

Given

Point 1 (1,2)

Point 2 (5,8)

Required

Constant of Variation

Though the graph would have assisted in answering the question; its unavailability doesn't mean the question cannot be solved.

Having said that,

the constant variation can be solved by calculating the gradient of the graph;

The gradient is often represented by m and is calculated as thus

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$(x_1, y_1) = (1,2)\\(x_2, y_2) = (5,8)$

By substituting values for x1,x2,y1 and y2; the gradient becomes

$m = \frac{8 - 2}{5 - 1}$

$m = \frac{6}{4}$

$m = \frac{3}{2}$

$m = 1.50$

Hence, the constant of variation is $1.50

7 0

3 years ago

Read 2 more answers

Please answer! this is an important exam that im taking right now.

Scorpion4ik [409]

Answer:

Required ordered pair is (0,0) for system of equation

Step-by-step explanation:

The given system of equation is

A). $9^{12x} = 9^{3y}$

B). $y^{4} - 9y^{2} x^{2} =16y$

On simplifying the equation A

$9^{12x} = 9^{3y}$

Take log on both side,

(12x) (log9) = (3y) (log9)

4x=y

To find the solution of the system of the equation :

Replacing value of y=4x in equation B,

$y^{4} - 9y^{2} x^{2} =16y$

$(4x)^{4} - 9(4x)^{2} x^{2} =16(4x)$

$256x^{4} - 144x^{2} x^{2} =64x$

$256x^{4} - 144x^{4}=64x$

$112x^{4}=64x$

We get,

x=0 and x=0.829

Since, 0.829 is not integer number

Only solution of equations is x=0

For the value of y

Replace value x in y=4x=0

Thus, Required ordered pair is (0,0)

8 0

4 years ago

A baby is weighed on a defective scale. He weighed 28 pounds according to the scale. He weighs 25 pounds on an effective scale.

Anettt [7]

Answer:

Step-by-step explanation:

Step one:

given

expected weight= 28pounds

Actual weight= 25 pound

Required:

percent error

$\delta = \left| \frac{v_A - v_E}{v_E} \right| \cdot 100\%$

δ= percent error

vA =actual value observed

vE =expected value

δ=25-28/28*100

δ=-3/28*100

δ=0.107*100

δ=10.7%

The percent error is 10.7%

3 0

3 years ago

Which of the following values of x make the following functions equal?

MrRissso [65]

Answer:

x=2

Step-by-step explanation:

y=2(2)-1

=4-1

y=-5(2)+13

=-10+13

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3 years ago

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Tara is selling a car that costs $12,000. She will make a commission of 10%. What will her

densk [106]

Answer:

$1200

Step-by-step explanation:

5 0

3 years ago