Step-by-step explanation:
Given
f(x) = 4x - 3
g(x) = 10 - x
So Now
gf(x) = g( 4x - 3)
= 10 - 4x + 3
= 13 - 4x
Hope it will help :)❤
The three lengths are 3x, 6x, 8x.
The perimeter of a triangle is the sum of all lengths:
3x + 6x + 8x = 520.
Solving for x,
17x = 520
x = 30.59 cm
So the three lengths are
3(30.59) = 91.77 cm
6(30.59) = 183.54 cm
8(30.59) = 244.72 cm
6=360<span>
60=3600
600=36000
6000=360000
60000=3600000
And so on and so on.
</span>
<h3>
Answer: 17/24</h3>
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Explanation:
We have these four cases or possible outcomes
- Case 1) We select 0 black marbles and 3 red marbles.
- Case 2) We select 1 black marble and 2 red marbles.
- Case 3) We select 2 black marbles and 1 red marble.
- Case 4) We select 3 black marbles and 0 red marbles.
Let's calculate the probability for case 4.
There are 7 black marbles out of 10 total. The probability of picking black is 7/10. If no replacement is made, then 6/9 is the probability of picking black again (subtract 1 from the numerator and denominator separately). Finally, 5/8 is the probability of getting black a third time.
The probability of getting 3 black marbles in a row is
(7/10)*(6/9)*(5/8) = (7*6*5)/(10*9*8) = 210/720 = 7/24.
That fraction 7/24 means that if you had 24 chances, then you expect about 7 of them will lead to getting three black marbles in a row (aka case 4). Therefore, 24-7 = 17 occurrences are expected where we get cases 1 through 3 occur in some fashion (pick one case only).
Notice how cases 1 through 3 encapsulate the phrasing "at most 2 black marbles" which is another way of saying "2 black marbles is the highest we can go".
So that's why the answer is 17/24.
Linear equations are:
Non-linear equations are:
Step-by-step explanation:
Lets define linear and non-linear first.
Linear equation is that equation whose degree is one. Degree is the highest power of a variable in an expression or equation.
Similarly, an equation with degree greater than 2 are called non-linear equation
In the given equations,
=> Degree: 3
=> Degree: 1
=> Degree: 2
=> Degree:1
=> Degree:2
Hence,
Linear equations are:
Non-linear equations are:
Keywords: Linear equations, expressions
Learn more about linear equations at:
#LearnwithBrainly
