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Iteru [2.4K]
3 years ago
10

Select all the expressions that are equal to the product of 18 and 6.

Mathematics
1 answer:
Vlad1618 [11]3 years ago
5 0

Answer: 108

Step-by-step explanation:

product means x 's so there for 18x6= 108

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Complete the equation of the line through ( 4 , -8 ) and ( 8 , 5 )
irinina [24]

Answer:

Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is

13x - 4y = 84.

Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( 4 ,-8)

point B( x₂ , y₂) ≡ (8 , 5)

To Find:

Equation of Line AB =?

Solution:

Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula

(y - y_{1} )=(\frac{y_{2}-y_{1} }{x_{2}-x_{1} })\times(x-x_{1}) \\

Substituting the given values in a above equation we get

(y-(-8))=(\frac{5-(8)}{8-4})\times (x-4)\\ \\(y+8)=\frac{13}{4}(x-4)\\\\4(y+8)=13(x-4)\\4y+32=13x-52\\13x-4y=84...............\textrm{which is the required equation of the line AB}

Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is

13x - 4y = 84.

4 0
3 years ago
Please help this is due tomorrow help
Mademuasel [1]

Answer: $4.50

Step-by-step explanation:

6+6+3.5= 15.5 paid with a 20 so 4 dollars and 50 cents change

5 0
2 years ago
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What is the rate of change between the interval of x = 3 pi over 2 and x = 2π?
galina1969 [7]
Check the picture below.

\bf slope = m = \cfrac{rise}{run} \implies 
\cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby 
\begin{array}{llll}
average~rate\\
of~change
\end{array}\\\\
-------------------------------\\\\
\begin{cases}
x_1=\frac{3\pi }{2}\\
x_2=2\pi 
\end{cases}\implies \cfrac{f(2\pi )-f\left( \frac{3\pi }{2} \right)}{2\pi -\frac{3\pi }{2} }\implies \cfrac{3-1}{\frac{4\pi -3\pi }{2}}\implies \cfrac{2}{\quad \frac{\pi}{2}\quad }\implies \cfrac{4}{\pi }

5 0
3 years ago
Read 2 more answers
Solve for x: −2(x + 3) = −2x − 6<br><br> 0<br> 3<br> All real numbers<br> No solution
Alik [6]

Answer:

  x ∈ All real numbers

Step-by-step explanation:

When the distributive property is applied to the left side, the parentheses can be eliminated and the equation becomes ...

  -2x -6 = -2x -6

This is true for all possible values of x, "all real numbers".

8 0
2 years ago
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Javier volunteers in community events each month. He does not do more than five events in a month. He attends exactly five event
enot [183]

Answer:

P(x < 3) = 25\%

E(x) = 3

Step-by-step explanation:

The given parameters can be represented as:

\begin{array}{ccccccc}x & {5} & {4} & {3} & {2} & {1}& {0} & P(x) & {25\%} & {30\%} & {20\%} & {15\%} & {5\%} & {5\%} \ \end{array}

Solving (a): P(x < 3)

This is calculated as:

P(x < 3) = P(x = 0) + P(x = 1) + P(x =2) ----- i.e. all probabilities less than 3

So, we have:

P(x < 3) = 5\% + 5\% + 15\%

P(x < 3) = 25\%

Solving (b): Expected number of events

This is calculated as:

E(x) = \sum x * P(x)

So, we have:

E(x) = 5 * 25\% + 4 * 30\% + 3 * 20\% + 2 * 15\% + 1 * 5\% + 0 * 5\%

E(x) = 125\% + 120\% + 60\% + 30\% + 5\% + 0\%

E(x) = 340\%

Express as decimal

E(x) = 3.40

Approximate to the nearest integer

E(x) = 3

3 0
3 years ago
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