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3 years ago

What is the slope of this line

Mathematics

1 answer:

defon3 years ago

3 0

Answer:

Step-by-step explanation: Do rise and run

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The soccer team played a total of twenty-four games and won four more games than they lost. What was the team's win-loss record

Evgesh-ka [11]

14 wins and 10 losses

8 0

3 years ago

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The sum of the roots of 8x^2- 2x

Andrews [41]

Answer:

1/4

Step-by-step explanation:

To find the roots of the expression, factor the expression by GCF.

$8x^2 - 2x\\2x(4x-1)$

The roots are the factors set equal to 0 and solved for x.

2x = 0

x=0

4x-1 = 0

x = 1/4

The sum is the addition of the two roots 0 + 1/4 = 1/4

8 0

3 years ago

Over which interval is the graph of fx =-x2 + 3x + 8 increasing

Semenov [28]

Answer:

Step-by-step explanation:

it is increasing in $]-\infty;3/2]$

because this is like

$f(x)=ax^2+bx+c$

where a > 0

and -b/a=3/2

8 0

3 years ago

If a substance decays at a rate of 25% every 10 years, how long will it take 512 grams of the substance to decay to 121.5 grams

Juliette [100K]

Answer:

It will take 50 years to decay from 512 grams to 121.5 grams.

Step-by-step explanation:

The decay formula :

$N=N_0e^{-\lambda t}$

where

N= amount of substance after t time

N₀= initial of substance

t= time.

A substance decays at a rate 25% every 10 years.

So, remaining amount of the substance is = (100%-25%)= 75%

$\frac{N}{N_0}=\frac{75\%}{100\%}=\frac{75}{100}=\frac34$ , t= 10

$N=N_0e^{-\lambda t}$

$\Rightarrow \frac {N}{N_0}=e^{-\lambda t}$

$\Rightarrow \frac34 =e^{-\lambda .10}$

Taking ln both sides

$\Rightarrow ln|\frac34| =ln|e^{-\lambda .10}|$

$\Rightarrow ln|\frac34|=-10\lambda$

$\Rightarrow \lambda=\frac{ ln|\frac34|}{-10}$

Now , N₀= 512 grams, N= 121.5 grams, t=?

$N=N_0e^{-\lambda t}$

$\therefore 121.5=512e^{-\frac{ln|\frac34|}{-10}.t}$

$\Rightarrow 121.5=512e^{\frac{ln|\frac34|}{10}.t}$

$\Rightarrow \frac{121.5}{512}=e^{\frac{ln|\frac34|}{10}.t}$

Taking ln both sides

$\Rightarrow ln|\frac{121.5}{512}|=ln|e^{\frac{ln|\frac34|}{10}.t}|$

$\Rightarrow ln|\frac{121.5}{512}|={\frac{ln|\frac34|}{10}.t}$

$\Rightarrow t=\frac{ln|\frac{121.5}{512}|}{\frac{ln|\frac34|}{10}}$

$\Rightarrow t=\frac{10.ln|\frac{121.5}{512}|}{{ln|\frac34|}}$

⇒t=50 years

It will take 50 years to decay from 512 grams to 121.5 grams.

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3 years ago

Which of the following sets of numbers could not represent the three sides of a triangle?

ahrayia [7]

The rule is

Sum of any two sides>Third side

Check third option

(15,26,42)

$\\ \rm\bull\rightarrowtail 15+26=41$

Option C is correct

6 0

2 years ago

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