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3 years ago

3x+5y-4=0 what is the slope and y-intercept?

Mathematics

1 answer:

zaharov [31]3 years ago

5 0

Answer:

$3x + 5y - 4 = 0 \\ 3x + 5y = 4 \\ 5y = 4 - 3x \\ y = \frac{4}{5} - \frac{3}{5} x \\ y = mx + c \\ slope = m = \frac{ - 3}{5} \\ y \: intersept = c = \frac{4}{5} \\ thank \: you$

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A vertical pole 5ft long casts a shadow of 2ft at the same time a nearby tree casts a shadow of 10ft, how y’all is the tree?

SSSSS [86.1K]

Answer: The tree is 4 feet tall.

Step-by-step explanation: 5/2=x/10

2 x 10=20

20/5=4

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3 years ago

Alex's house (point F) lies on the same street as her school (point H). Alex's bus stop (point G) lies between her house and her

SashulF [63]

Answer:

x = 100

Step-by-step explanation:

Alex's house (point F) lies on the same street as her school (point H). Alex's bus stop (point G) lies between her house and her school. Given FG=2x meters, GH=1,000 meters and FH=1,200 meters. What is the value of x in meters?

FG=2x meters, GH=1,000 meters and FH=1,200 meters.

FH = FG + GH

1200 = 2x + 1000

1200 - 1000 = 2x

200.= 2x

x.= 200/2

x = 100

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2 years ago

Factoring when a=1 x^2+4x-45

avanturin [10]

a=x^2+4x-45

a=(x+9)(x-5)

6 0

3 years ago

Messages arrive to a computer server according to a Poisson distribution with a mean rate of 11 per hour. Determine the length o

Zarrin [17]

Answer:

The length of the interval during which no messages arrive is 90 seconds long.

Step-by-step explanation:

Let X = number of messages arriving on a computer server in an hour.

The mean rate of the arrival of messages is, λ = 11/ hour.

The random variable X follows a Poisson distribution with parameter λ = 11.

The probability mass function of X is:

$P(X=x)=\frac{e^{-11}11^{x}}{x!};\ x=0,1,2,3....$

It is provided that in t hours the probability of receiving 0 messages is,

P (X = 0) = 0.76

Compute the value of t as follows:

$P(X=0)=\frac{e^{-11\times t}(11\times t)^{0}}{0!}\\0.76=e^{-11\times t}\\\ln(0.76)=-11\times t\\t=-\frac{\ln(0.76)}{11} \\=0.025\ hours\\\approx90\ seconds$

Thus, the length of the interval during which no messages arrive is 90 seconds long.

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3 years ago

Mike buys breakfast for $8.23. If sales tax is 9%, how much does he pay in tax? How much does he pay in total?

Lina20 [59]

Answer:

9% of $8.23=

0.09x$8.23=$0.74 (tax)

$8.23+$0.74=$8.97 (total)

Step-by-step explanation:

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3 years ago