Expression consists of numbers, variables, and mathematical operations. The expression f(w)=5(w+4) is equal to f(9)=5(9)+20.
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression is given to you is,
Now, if we solve the expression it can be written as,
substituting the value of w, we will get,
Hence, the expression f(w)=5(w+4) is equal to f(9)=5(9)+20.
Learn more about Expression:
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Answer:
z=16
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−7(z−6)=−70
(−7)(z)+(−7)(−6)=−70(Distribute)
−7z+42=−70
Step 2: Subtract 42 from both sides.
−7z+42−42=−70−42
−7z=−112
Step 3: Divide both sides by -7.
−7z
/−7
=
−112
/−7
z=16
Answer:
to find the total number of miles traveled, you have to add the total distance from point L to point M together. 929+ 595 = 1,524 total miles traveled
to find the average miles per hour, you divide the total miles traveled, by the amount of time it took. 1,524 / 3 = 508 miles per hour
Step-by-step explanation:
Answer:
Percentage of balls which are red = 80%.
Step-by-step explanation:
Let the probability of drawing a red ball be x then the probability of drawing a white ball is 1-x.
There are 5C3 = 10 ways of getting 3 reds in 5 draws so the probability of this is 10* x^3 * (1 - x)^2.
The probability of getting 1 red in 5 draws = 5C1 * x (1-x)^4.
The first probability is 32 times the last.
So we have the equation:
10x^3(1 - x)^2 / 5x(1 - x)^4 = 32
2x^2 / (1 - x)^2 = 32
2x^2 = 32(1 -x)^2
2x^2 = 32( 1 - 2x + x^2)
2x^2 = 32 - 64x + 32x^2
30x^2 - 64x + 32 = 0
15x^2 - 32x + 16 = 0
(5x - 4)(3x - 4) = 0
x = 0.8, 1.333...
The probability must be < 1 so x = 0.8 = 80%.
Answer:
you just make the x values the y values and the y values the x values
Step-by-step explanation:
for example, the inverse of (1,-3) is (-3,1)
