Answer:
See explanation
Step-by-step explanation:
y = k * (3x - 5)
Where,
k = constant of proportionality
y = 33 when x = 5
y = k * (3x - 5)
33 = k * (3 * 5 - 5)
33 = k * (15 - 5)
33 = 15k - 5k
33 = 10k
k = 33/10
k = 3.3
a) y when x = 2
y = k * (3x - 5)
y = 3.3(3 * 2 - 5)
= 3.3(6 - 5)
= 3.3(1)
y = 3.3
b) x when y = 15
y = k * (3x - 5)
15 = 3.3(3x - 5)
15 = 9.9x - 16.5
15 + 16.5 = 9.9x
31.5 = 9.9x
x = 31.5/9.9
x = 3.18
Step one: correspond x values and y values together
it would be: 3, 12 and 4, 16
Step two: divide
12/3 = 4 and 16/4 = 4
both numbers = 4
scale factor is 4
Answer:
A) Rational
B) Irrational
C) Rational
D) Irrational
Step-by-step explanation:
Irrational numbers cannot be expressed as a ratio of two number, whereas rational numbers can be. 81 can be expressed as 9*9 whereas, 89 cannot be expressed as ratio of two numbers.
Answer:
i think is angle 7 n angle 15
Step-by-step explanation:
Answer: (I think it is x=4)
x=4, x=2, or x=10
Step-by-step explanation:
Simplifying
3x + 2(5x) = 26
Remove parenthesis around (5x)
3x + 2 * 5x = 26
Multiply 2 * 5
3x + 10x = 26
Combine like terms: 3x + 10x = 13x
13x = 26
Solving
13x = 26
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '13'.
x = 2
Simplifying
x = 2
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Equation at the end of step 1
3 • (x - 2) - (5x - 26) = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
20 - 2x = -2 • (x - 10)
Equation at the end of step
3
:
-2 • (x - 10) = 0
STEP
4
:
Equations which are never true
4.1 Solve : -2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
4.2 Solve : x-10 = 0
Add 10 to both sides of the equation :
x = 10
One solution was found :
x = 10
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(3x-3*2)+5x=26
(3x-6)+5x=26
3x-6+5x=26
3x+5x-6=26
8x-6=26
(8x-6)+6=26+6
8x-6+6=32
8x=32
8x/8=32/8
x=2^5/2^3
x=2^5-3
x=2^2
x=4