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swat32
3 years ago
13

If the ordered pairs(a,3)and (2,b) belong to the set {(x,y):y=2x-3},find the value of a,b​

Mathematics
1 answer:
denis23 [38]3 years ago
3 0

Answer:

a=3

b=1

Step-by-step explanation:

3=2a-3 => a=3

b=2*2-3 = 1

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What equals 106 multiplication
DerKrebs [107]
53×2=106
2×53=106
106×1=106
1×106=106
5 0
3 years ago
Given the function h(x) =1/3 |x-6| +4, evaluate the function when x = - 3, - 2, and 0
Masja [62]

|x| = x for x ≥ 0

examples:

|3| = 3; |0.56| = 0.56; |102| = 102

|x| = -x for x < 0

examples:

|-3| = -(-3) = 3; |-0.56| = -(-0.56) = 0.56; |-102| = 102

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

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

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

h(x)=\dfrac{1}{3}|x-6|+4

Put the values of x to the equation of the function h(x):

x=-3\to h(-3)=\dfrac{1}{3}|-3-6|+4=\dfrac{1}{3}|-9|+4=\dfrac{1}{3}(9)+4=3+4=7\\\\x=-2\to h(-2)=\dfrac{1}{3}|-2-6|+4=\dfrac{1}{3}|-8|+4=\dfrac{1}{3}(8)+4=\dfrac{8}{3}+\dfrac{12}{3}=\dfrac{20}{3}\\\\x=0\to h(0)=\dfrac{1}{3}|0-6|+4=\dfrac{1}{3}|-6|+4=\dfrac{1}{3}(6)+4=2+4=6


6 0
3 years ago
Clark spent a total of $52 on a pair of shoes and a new jacket. The shoes cost $4 more than the jacket. Write a system of equati
lara [203]

Answer:

  • x+y=52
  • x-y=4
  • y=24

Step-by-step explanation:

The sum of the two costs is $52, so we can write ...

  x + y = 52

The shoes cost $4 more than the jacket, so we can write ...

  x - y = 4

These are your system of equations.

__

Subtract the second equation from the first:

  (x +y) -(x -y) = (52) -(4)

  2y = 48 . . . . . simplify

  y = 24 . . . . . . .divide by 2

The cost of the jacket is $24.

8 0
3 years ago
Which of the following expressions is the inverse of the function y equals quantity x minus 2 divided by 3?
Natalija [7]
Y = (x - 2)/3
3y = x - 2
x = 3y + 2

Therefore, the inverse of y = (x - 2)/3 is y = 3x + 2
6 0
3 years ago
Penny is counting the days until her grandma comes to visit. There are 98 days left. How many weeks are left until Penny's grand
Burka [1]
98 divided by 7

98/7 = 14

Answer: There are 14 weeks left.
3 0
4 years ago
Read 2 more answers
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