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wariber [46]
4 years ago
8

I HAVE 5 MATH QUESTIONS AND I NEED HELP ASAP. ONLY COMMENT IF YOU'RE GONNA HELP ME PLEASE. THANKS! QUESTIONS ARE PASTED BELOW.

Mathematics
1 answer:
valkas [14]4 years ago
8 0
1. (2,3)
2. (-1,-1)
3. infinitely many
4. coincident
5. consistent independent, coincident, inconsistent (in that order)
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Establish for which constants c the following function is a density.
Valentin [98]
By "density" I assume you mean "probability density function". For this to be the case for f(x), we require

\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=1

Since

f(x)=\begin{cases}cx^{1/2}&\text{for }0

you have

\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=\int_0^2cx^{1/2}\,\mathrm dx=\dfrac{2c}3x^{3/2}\bigg|_{x=0}^{x=2}=\dfrac{2^{5/2}c}3=1

which means

c=\dfrac3{2^{5/2}}=\dfrac3{4\sqrt2}
7 0
3 years ago
Solve this question...6
Hitman42 [59]

Answer:

Step-by-step explanation:

1 tyres time to install is 56/4=14

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so 12 tires would be 12 x 14 which is 168 minutes

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4 0
2 years ago
Answer please. Simplify the expression<br><br> 8y - 11y + 6
sattari [20]
8y - 11y + 6

Combine like terms

-3y + 6 is the simplified answer. 
5 0
3 years ago
-11 -9 -7 -5 for n= 17
4vir4ik [10]
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4 0
3 years ago
Fred is running on the school track. He can run 10 3 4 laps in 4 5 of an hour. How many laps can Fred run in one hour?
Triss [41]

Answer:

13\frac{7}{16} laps can Fred run in one hour.

Step-by-step explanation:

Given Statement: Fred is running on the school track. He can run 10\frac{3}{4}  laps in \frac{4}{5}  of an hour.

Unit rate are expressed as a quantity of 1, such as 3 feet per second or 7 miles per hour, they are called unit rates

From the given condition we have;

In \frac{4}{5} he can run \frac{43}{4} laps

Unit rate per hour = \frac{\frac{43}{4} }{\frac{4}{5} }

                              =\frac{43}{4} \times \frac{5}{4} = \frac{215}{16} laps

Therefore, Fred can run in one hour is, 13\frac{7}{16} laps.

3 0
3 years ago
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