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mart [117]
3 years ago
14

What is the equation of the line that passes through the point (-1, -2) and is parallel to the line with equation -3x+y=4

Mathematics
1 answer:
Ivanshal [37]3 years ago
4 0
Y = 3x + 1 
Parallel lines have the same slope so the slope would be 3. Take the given equation and add the 3x to the other side. Using the given point. -2 (y point) = 3(-1(x point)) + b. Solve for b by adding the 3 over. b = 1 which is your y intercept. 
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3) in clinical trials of Nasonex, 3774 adult and adolescent allergy patients (ages 12 and older) were randomly
Nonamiya [84]

Fun.  I prefer Oxymetazoline.

For the control group we have a headache probability of

c = 368/1671 = .220

For the experimental group we have a headache probability of

e = 494/2013 = .245

The observed difference is

d = e - c = .025

The variance of the difference is

s² = c(1-c)/n₁ + e(1-e)/n₂

so the standard deviation is

s=\sqrt{.220(1-.220)/1671 + .245(1-.245)/2013} = 0.0139

We get a t statistic on the difference of

t = d/s = .025/.0139 = 1.79

We're interested in the one sided test, P(d > 0).  We have enough dfs to assume normality. We look up in the standard normal table

P(z < 1.79) = .96327

so

p = P(z > 1.79) = 1 - .96327  = 0.037 = 3.7%

Answer: That's less that 10% so we have evidence to conclude that headaches are significantly greater in the experimental group.

7 0
4 years ago
Solve for the inverse g(x) = 2x^2-6/9​
oksian1 [2.3K]

Answer:f(x)=x2−6x−9 f ( x ) = x 2 - 6 x - 9. Replace f(x) f ( x ) with y y . y=x2−6x−9 y = x 2 - 6 x - 9. Interchange the variables. x=y2−6y−9 x = y 2 - 6 y - 9.

Step-by-step explanation:

4 0
3 years ago
What is the domain of the step function f(x) = ⌈2x⌉ – 1?
maxonik [38]
Domain is what you can put in

the domain for most functions is ALL REAL NUMBERs
except for those that violate the dividing by zero thingummy
example
if yu had
f(x)=x+2
domain is all real numbers
f(x)=2/x
domain is all real numbers except for 0 since cannot divide by 0
f(x)=2(x-4)
domain is all real numbers except for 4


so answer is {x|x is a real number}


6 0
3 years ago
Read 2 more answers
Sarah bought 5 items for a total of $24. A braceler
il63 [147K]

Sarah bought 3 bracelets and 2 pairs of sunglasses.

Step-by-step explanation:

Total items bought = 5 items

Total spent = $24

Cost of one bracelet = $5

Cost of pair of sunglasses = $4.50

Let,

x be the number of bracelet bought.

y be the number of sunglasses bought.

According to given statement;

x+y=5    Eqn 1

5x+4.50y=24    Eqn 2

Multiplying Eqn 1 by 5

5(x+y=5)\\5x+5y=25\ \ \ Eqn\ 3

Subtracting Eqn 2 from Eqn 3

(5x+5y)-(5x+4.50y)=25-24\\5x+5y-5x-4.50y=1\\0.50y=1

Dividing both sides by 0.50

\frac{0.50y}{0.50}=\frac{1}{0.50}\\y=2

Putting in Eqn 1

x+2=5\\x=5-2\\x=3

Sarah bought 3 bracelets and 2 pairs of sunglasses.

Keywords: linear equations, subtraction

Learn more about subtraction at:

  • brainly.com/question/902892
  • brainly.com/question/884169

#LearnwithBrainly

5 0
4 years ago
Most __________ signs are rectangular, with the longer dimension vertical, and have a white background.
Furkat [3]

Answer:

Regulatory

Step-by-step explanation:

the rectangular sign with longer vertical dimension and have white background  are called regulatory signs.

regulatory signs are those signals which are used to indicate or reinforce traffic laws.

these regulatory sign informs the driver and tell them to apply the traffic law at certain required places.

6 0
4 years ago
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