Use distributive property to solve.
2x(5x+3) + 7(5x+3)
1. distribute
2x•5x = 10x^2
2x•3= 6x
10x^2+6x
7•5x = 35x
7•3= 21
35x+21
2. combine like terms
10x^2+6x+35x+21
10x^+ 41x +21 [final answer]
Answer:
C. The relationship between two variables is linear when it is represented by a straight line and nonlinear when it is represented by a curved line.
Step-by-step explanation:
The definition of "linear" is "related by a straight line". The definition of "non-linear" is "not related by a straight line." One simply needs to understand the definitions in order to choose the correct statement.
Answer:
X = 48
Step-by-step explanation:
When you type sin(42) in your calculator it will give you something around 0.669.
If you try reverse sinus sin-1(0.669) it will give you 42.
Therefore you can say that:
Cos(x) = 0.669
So you can reverse the cos to get your answer
Cos-1(0.669) = 48
Or
Cos-1 (sin(42))
I hope this helps you
4r=p-3t
r=p-3t/4
Answer:
1.) It's 20th century painting
2.) 0.5 probability
Step-by-step explanation:
If the universal = 60
We need to first get the value of X. That is,
x (x - 2) + x + 2x + 8 + 10 = 60
First open the bracket
x^2 - 2x + x + 2x + 8 + 10 = 60
x^2 + x + 18 = 60
x^2 + x - 42 = 0
Factorise the above equation
x^2 + 7x - 6x - 42 = 0
x (x + 7) -6(x + 7) = 0
x = 6 or - 7
Since x can't be negative, so we will ignore -7
The value for T = 6(6 - 2) = 6×4 = 24
The value for B = 2(6) + 8 = 12 + 8 = 20
If a painting is chosen from random,
If it's from 20th century, the probability will be 34/60 = 0.567
If it's from British painting, the probability will be 30/60 = 0.5
We can therefore conclude that it's from 20th century painting since it has higher value of probability.
The the probability of choosing a British painting will be 30/60 = 0.5