MATHEMATICS HIGH SCHOOL

Two equations are given below:a – 3b = 4
a = b – 2

What is the solution to the set of equations in the form (a, b)? (5 points)


(–2, –2)
(–3, –1)
(–9, –7)
(–5, –3)

Answers

Answer 1
Answer: a - 3b = 4
a = b -2

(b - 2) - 3b = 4
b - 2 - 3b = 4
-2b = 4 + 2
-2b = 6
b = 6/-2
b = -3

a = b - 2
a = -3 -2
a = -5

to check: a = -5 ; b = -3  ⇒ (-5,-3)
a - 3b = 4
-5 - 3(-3) = 4
-5 + 9 = 4
4 = 4

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A number x is no more than 9 units away from 8. Write and solve an absolute-value inequality to show the range of possible values of x.|x − 8| ≤ 9
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Answers

Answer:

Option A is right

Step-by-step explanation:

Given that a number x is no more than 9 units away from 8

This implies that number can be either larger than 8 by less than 9 units or smaller than 8 by less than 9 units.

Difference between x and 8 is at most 9.

We represent in absolute value as

|x-8|\leq 9\n-9\leq x-8\leq 9\n-1\leq x\leq 17

Hence option A is right
The answer is a (|x - 8| ≤ 9 and -1 ≤ x ≤ 17) Because the difference between x and 8 can't be greater than 9, but it can be less than or equal to it, and because the range that x could be would be -1 to 17, since 8 + 9 = 17 and 8 - 9 = -1.

A type of number that includes rational and irrational numbers is ____

Answers

Answer:

Real number

Step-by-step explanation:

Those are the Real numbers.

Real numbers (R) are the conjoint of Rational Numbers (Q) - those than can be written as a fraction, e.g., 4/3, 80/456, etc. - and Irrational Numbers (I) - those that CAN'T be represented by a fraction, e.g., pi number.

So R = Q ∪ I

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Answers

Answer:

According to my calculation, the two possible coordinates of vertex C, is (1,√(27)) and (1,-√(27)).

Answer:

According to my calculation, the two possible coordinates of vertex C, is .

Step-by-step explanation:

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Answers

Answer:

Hope this helps! :)

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Answers

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Answers

So the 4 represents the amplitude of the function. We can also see that because it is a positive number, the graph is even. ⁽⁽The number before the graph type (Sin or Cos) always represents the amplitude. The amplitude is how many units the graph travels up and down from the midline. 
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Hope this helps, sorry i couldn't sketch the graph for you
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