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3 years ago

write an equation of the line with the same slope as the line given by 5x+2y=8 and as the same y-intercept as 3x-7y=10

2 answers:

5 0

The slope of the first equation would be -5/2 because
2y=-5x+8
y=-5x/2+4
The y intercept of the 2nd equation is when x=0, so -7y=10
y=-10/7
The equation of the line would be y=-5x/2-10/7
Or in standard form....
5x/2+y=-10/7
5x+27=-20/7

vampirchik [111]3 years ago

4 0

$5x+2y=8\ \ \Rightarrow\ \ 2y=-5x+8\ \ \Rightarrow\ \l_1:\ y=- \frac{5}{2}x+8\\ \\ l_2:\ y=ax+b\ \ \ and\ \ \ l_2\ ||\ l_1\ \ \ \Leftrightarrow\ \ \ a=- \frac{5}{2} \\ \\l_2:\ y=- \frac{5}{2}x+b\\ \\3x-7y=10\ \ \ and\ \ \ x=0 \ \ \ \Rightarrow\ \ \ 3\cdot0-7y=10 \ \ \Rightarrow\ \ \ y=- \frac{10}{7} \\ \\b=- \frac{10}{7}\ \ \ \Rightarrow\ \ \ l_2:\ y=- \frac{5}{2}x- \frac{10}{7}\\ \\ l_2:\ \frac{5}{2}x+y=- \frac{10}{7}\ \ /\cdot14\\ \\l_2:\ 35x+7y=-20$

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if an amount of $100 in a savings account increases by 10% , then increases by 10% again, is that the same as increasing by 20%

Elina [12.6K]

100 + 100 * 10/100 = 110

NOW 110 INCREASES BY 10 %, 110 + 110*10/100 = 110+ 11 = 121

INCREASE OF 20 % = 100 + 100*20/100= 100+20 = 120

SO IT IS NOT SAME

5 0

3 years ago

Read 2 more answers

A candy dish contains 30 jelly beans and 20 gumdrops. Ten candies are picked at random. What is the probability that 5 of the 10

AveGali [126]

Answer:

The probability of drawing 5 gumdrops in 10 picks from the dish is 0.215

Step-by-step explanation:

A hypergeometric distribution is a discrete probability distribution that describes the probability of successes in draws with each draw being a success or failure, without replacement from a finite population size that contains exactly the same objects. The general formula is given as:

$h(x) =\frac{({A}C_{x})({N-A}C_{n-x})}{^{N}C_{n} }$

where:

$^{n}C_{r}=\frac{n!}{(n-r)!r!}$

h(x) is the probability of x successes,

n is the number of attempts,

A is the number of successes

N is the number of elements

For this problem:

A = 30, x = 5, N = 50, n = 10

The probability of drawing 5 gumdrops in 10 picks from the dish P(x=5) is

$P(x=5)=\frac{({30}C_{5})({50-30}C_{10-5})}{^{50}C_{10} }\\P(x=5)=\frac{({30}C_{5})({20}C_{5})}{^{50}C_{10} }$

$P(x=5)=\frac{\frac{30!}{(30-5)!5!}*\frac{20!}{(20-5)!5!} }{\frac{50!}{(50-10)!10!} }\\P(x=5)=\frac{\frac{30!}{25!5!}*\frac{20!}{15!5!} }{\frac{50!}{40!10!} }$

$P(x=5)=\frac{142506*15504}{1.207*10^{10} }=0.215$

P(x=5) = 0.215

The probability of drawing 5 gumdrops in 10 picks from the dish is 0.215

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3 years ago

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Arte-miy333 [17]

Answer:

Step-by-step explanation:

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2 years ago

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Mademuasel [1]

Answer:

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3 years ago

Read 2 more answers