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3 years ago

Does y=7x represent a proportional relationship? Help me please thanks.

Mathematics

1 answer:

noname [10]3 years ago

7 0

Answer: Yes because it will stay proportional the whole time. 1:7, 2:14, 3:21...

Hope this helps!

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Can I add <img src="https://tex.z-dn.net/?f=2%5Csqrt%7B3%7D%20%2B%205%5Csqrt%7B3%7D" id="TexFormula1" title="2\sqrt{3} + 5\sqrt{

Bond [772]

Yes, they can be added and simplified further. 2√3 + 5√3 = 7√3 .

Take √3 as common factor:

2√3 + 5√3

(2 + 5)√3

7√3

The two irrational numbers sums to form another irrational number 7√3 . In decimals that is 12.12435...

5 0

2 years ago

Read 2 more answers

Factor the expression completely over the complex numbers. X3+5x2+9x+45

shepuryov [24]

$x^3+5x^2+9x+45=x^2(x+5)+9(x+5)=(x+5)(x^2+9)=(*)\\\\x^2+9=x^2+3^2=x^2-(-1)(3^2)=x^2-(i^2)(3^2)=x^2-(3i)^2\\\\i=\sqrt{-1}\to i^2=-1\\\\(*)=(x+5)[x^2-(3i)^2]=(x+5)(x-3i)(x+3i)\\\\Used:\ a^2-b^2=(a-b)(a+b)\\\\Answer:\ x^3+5x^2+9x+45=(x+5)(x-3i)(x+3i)$

4 0

3 years ago

Read 2 more answers

Delta Airlines quotes a flight time of 2 hours, 5 minutes for its flights from Cincinnati toTampa. Suppose we believe that actua

siniylev [52]

Answer:

a) The graph of the probability density function for flight time is shown below.

b) 1/2

c) 0

d) 130 minutes

Step-by-step explanation:

Let's deal with the flight times in minutes instead of hours, and let T be the random variable that represents the flight time. T is uniformly distributed between 120 minutes and 140 minutes. The probability density function for T is given by

$f(t)=\frac{1}{140-120}=\frac{1}{20}$ for t in [120, 140]

a) The graph of the probability density function for flight time is shown below.

Delta Airlines quotes a flight time of 125 minutes for its flights from Cincinnati to Tampa.

b) The probability that the flight will be no more than 5 minutes late is given by

$P(T \leq 125 + 5) = P(T \leq 130) = \int\limits_{120}^{130}\frac{1}{20}dt = \frac{1}{20}(130-120)= \frac{1}{20}(10) = \frac{1}{2}$

c) The probability that the flight will be more than 10 minutes late is given by

$P(T \geq 125 + 10) = P(T \geq 135) = 0$ because the probability density function is zero for t outside of [120, 140]

d) The expected flight time is given by $E(T) = \frac{120+140}{2} = \frac{260}{2} = 130$ minutes

8 0

3 years ago

A secretary’s hourly wage is $21. On Sunday, the secretary earns time and a half. How much does the secretary earn for working e

AVprozaik [17]

She earns twenty one dollars a hour regularly half of that is ten dollars and fifty cents . Add this to twenty one equals thirty one fifty a hour times eight equals two hundred and fifty two dollars for working on Sunday for eight hours .

6 0

3 years ago

X + 17 is greater than or equal to -3 . Select the correct solution set

alisha [4.7K]

x + 17 ≥ -3

Isolate the x. Subtract 17 from both sides

x + 17 (-17) ≥ - 3 (-17)

x ≥ -3 - 17

x ≥ -20

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x ≥ -20 is your answer

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hope this helps

7 0

3 years ago