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Luden [163]
3 years ago
13

Through (-4,6) and parallel to y=-3x+4

Mathematics
1 answer:
liraira [26]3 years ago
7 0
Y=mx+b
parallel lines will have the same slope.

using the points (-4,6) and the slope for the parallel line -3 we can find b (the y intercept) for the line.

6 = (-3)(-4) + b
6 = 12 + b
-12 + 6 = -12 + 12 +b
-6 = b
so the line that runs through points (-4,6) and parallel to y= -3x+4 is:
y = -3x -6
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Let p = the product of all the odd integers between 500 and 598, and let q = the product of all the odd integers between 500 and
tia_tia [17]

p=501\cdot503\cdot\cdots\cdot597

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So we have q=359,999p. Then

\dfrac1p+\dfrac1q=\dfrac{359,999}{359,999p}+\dfrac1q=\dfrac{359,999+1}q=\dfrac{360,000}q

and the answer is D.

4 0
3 years ago
Bob, a lawyer, used to charge his clients $220 per hour Recently, he reconsidered his rates and ultimately decided to charge 30%
Mariana [72]

Answer:

The Poisson probability distribution gives the probability of a number of events occurring in a fixed interval of time or space if these events happen with a known average rate and independently of the time since the last event. For example, a book editor might be interested in the number of words spelled incorrectly in a particular book. It might be that, on the average, there are five words spelled incorrectly in 100 pages. The interval is the 100 pages.

4 0
2 years ago
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What is the equation of a line with a slope of 3 and contains<br> point (4.1)
cricket20 [7]

Answer:

y = 3x - 11

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y=mx+b

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5 0
3 years ago
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Please help me I have been stuck on this question for ages
Finger [1]

Answer:28 green and 35 red

Step-by-step explanation:

Given

If there are r red counter and g green counter then

Probability of drawing a green counter is P(g)=\frac{4}{9}

and P(g)=\frac{\text{No of g counter}}{\text{Total no of counter}}

Thus \frac{\text{No of g counter}}{\text{Total no of counter}}=\frac{4}{9}

\frac{g}{g+r}=\frac{4}{9}

\Rightarrow 9g=4g+4r

\Rightarrow 5g=4r\quad \ldots(i)

Also if 4 red and 2 green counter is added the probability of drawing a green counter is

P(g)=\frac{10}{23}=\frac{\text{No of g counter}}{\text{Total no of counter}}

\Rightarrow \frac{10}{23}=\frac{g+2}{g+2+r+4}

\Rightarrow \frac{10}{23}=\frac{g+2}{g+r+6}

\Rightarrow 10g+10r+60=23g+46

\Rightarrow 10r+14=13g\ quad \ldots(ii)

Substitute the value of g in equation (ii)[/tex]

\Rightarrow 10\times \frac{5}{4}g+14=13g

\Rightarrow \frac{25}{2}g+14=13g

\Rightarrow g=28

Therefore r=35

Thus there 28 green counter and 35 red counter

6 0
3 years ago
Using appropriate properties find: 2/3 × 3/4 + 3/7 × 3/4​
Viktor [21]

Answer:

\frac{23}{28}

Step-by-step explanation:

\frac{2}{3}  \times  \frac{3}{4}  +  \frac{3}{7}  \times  \frac{3}{4}

=  >  \frac{3}{4} ( \frac{2}{3}  +  \frac{3}{7} )

=  >  \frac{3}{4}  \times  \frac{23}{21}

Reducing 3 from numerator and denominator,

=  >  \frac{23}{4 \times 7}  =  \frac{23}{28}

3 0
3 years ago
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