(2x-8)(2x+9) help please

Mathematics

2 answers:

jolli1 [7]2 years ago

8 0

Step-by-step explanation:

Step 1: Simplify

$(2x -8)(2x+9)$ - Equation

$= (2x+-8)(2x+9)$ - Simplify

$=(2x)(2x)+(2x)(9)+(-8)(2x)+(-8)(9)$ - Answer

$= 4x^2+18x-16x-72$ - Simplify again

$=4x^2+2x-72$ - Final Answer

Explanation in words (Short Form)

- The first step is to use the formula and simplify it. So first we will Rewrite the division as a fraction.

- The second step is to simplify the equation that was provided. The equation is (2x-8)(2x+9). We will apply the FOIL Method (Math) to solve this equation. Here is the formula: $\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd$

Answer:

$=4x^2+2x-72$

Hope this helps.

lesya [120]2 years ago

4 0

$(2x - 8)(2x + 9) \\ 4 {x}^{2} + 18x - 16x - 72 \\ 4 {x}^{2} + 2x - 72$

HOPE IT HELPS

PLEASE GIVE BRAINLIEST

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The sutton police department must write, on average, 6 tickets a day to keep department revenues at budgeted levels. suppose the

lakkis [162]

The Poisson distribution defines the probability of k discrete and independent events occurring in a given time interval.
If λ = the average number of event occurring within the given interval, then
$P(k \, events) = e^{-\lambda } ( \frac{\lambda ^{k}}{k!} )$

For the given problem,
λ = 6.5, average number of tickets per day.
k = 6, the required number of tickets per day
The Poisson distribution is
$P(k \, tickets/day)=e^{-6.5} ( \frac{6.5 ^{k}}{k!} )$
The distribution is graphed as shown below.

Answer:
The mean is λ = 6.5 tickets per day, and it represents the expected number of tickets written per day.
The required value of k = 6 is less than the expected value, therefore the department's revenue target is met on an average basis.