MATHEMATICS HIGH SCHOOL

TOPIC: simultaneous linear equations

p + 2q = 3,
p - 2q = 3

Answers

Answer 1

Answer:

Answer:

p=3 q=0

Step-by-step explanation:

p+2q=3

p-2q=3

p+2q=3

p=3-2q---------eqn i

p-2q=3

3-2q-2q=3

3-4q=3

-4q=3-3

q=0÷-4

q=0

putting the value of q in equation i

p=3-2q

=3-2×0

Answer 2

Answer:

Answer:

p=3

q=0

Step-by-step explanation:

Adding both the equation

p+2q=3

+ p-2q=3

------------

2p=6

p=3

putting value of p in any of the above equation we will get the value of q.

3+2q=3

2q=0

q=0

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36x^3a+45xa^2=9xa( ) complete the statement.

Which choice is the explicit formula for the following geometric sequence?0.5, -0.1, 0.02, -0.004, 0.0008, ...

Answers

The explicit formula for the given Geometric sequence is

$a_(n)= 0.5 * (-0.2)^((n-1))$

The given sequence is a Geometric sequence with the first term,

a = 0.5 and the common ratio, r = -0.2.

We are supposed to find the explicit formula for this sequence.

The general formula for a Geometric sequence is given by

$a_(n)= ar^((n-1))$

where a is the first term, r is the common ratio, and n is the nth term of the sequence.

Substituting a, r and n in the above formula, we get the nth term of the sequence.

Therefore, the explicit formula for the given Geometric sequence is:

$a_(n)= 0.5 * (-0.2)^((n-1))$ .

The explicit formula for the given Geometric sequence is

$a_(n)= 0.5 * (-0.2)^((n-1))$ .

For such more questions on explicit formula

brainly.com/question/24198356

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Thomas is using a drawing program to complete a construction. Which construction could he be completing? Select one of the following:

a. An equilateral triangle inscribed in a polygon
b. A square inscribed in a circle
c. A regular pentagon inscribed in a polygon
d. A regular hexagon inscribed in a polygon

Answers

The right answer for the question that is being asked and shown above is that: "b. A square inscribed in a circle." Thomas is using a drawing program to complete a construction. The construction that could he be completing is a square inscribed in a circle

The formula n = rt gives the number n of boxes packed in time t at rate r. A machine packs boxes at a constant rate of 11.5 boxes per minute.How many boxes will the machine pack in 6 min?

please help! 15 points and I will thank the best answer!

Answers

n= 11.5(6)
n= 69
^ pretty sure I got it?

The answer is 69 because 11.5 x 6 is 69
:)

What was the original price of an MP3 player that is advertised as in sale for 25% off and the sale price is $60?

Answers

25% is the same as .25
so
5 9 9 10
60.00
-
00.25
______
59.75
I THINK cause i did this in 5th grade so I dont remember it that much

(iii) If a, b, c are rational numbers, then
a x (b-c) #ax b-ax c. true or false

Answers

Answer:

false

Step-by-step explanation:

answer:ab-ac=ab-ac

Which shows one way to determine the factors of x3 – 9x2 + 5x – 45 by grouping?x2(x – 9) – 5(x – 9)
x2(x + 9) – 5(x + 9)
x(x2 + 5) – 9(x2 + 5)
x(x2 – 5) – 9(x2 – 5)

Answers

x³ - 9x² + 5x - 45

x²(x - 9) - 5(x - 9) ⇒ x³ - 9x² - 5x + 45 INCORRECT
x²(x + 9) - 5(x + 9) ⇒ x³ + 9x² - 5x - 45 INCORRECT

x(x² + 5) - 9(x² + 5) ⇒ x³ + 5x - 9x² - 45 CORRECT
It just needs to be rearranged.

x(x² - 5) - 9(x² - 5) ⇒ x³ - 5x - 9x² + 45 INCORRECT

The answer choice which shows a way to determine the factors by grouping is; x(x² + 5)–9(x² + 5).