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krok68 [10]
3 years ago
11

Julia plays volleyball and finished the regular season with 25 digs. The graph relates her total number of digs for the season t

o the number of games played in the post-season tournament.
What is the equation in standard form that represents the relationship shown in the graph?

A. y = 3x + 25
B. 3x + y = 25
C. y = -3x + 25
D. -3x + y = 25
E. y - 37 = 3(x - 4)

Mathematics
2 answers:
finlep [7]3 years ago
8 0

Answer:

<u>Standard form</u>:  -3x + y = 25

Step-by-step explanation:

y=mx+b

y = 3x + 25    ... you want to convert to standard form (Ax+By=C)

-3x     -3x       ... you want the variables on the left side of the equation

-3x + y = 25

Law Incorporation [45]3 years ago
6 0
We need to find an equation in the form y=mx+b.

To find m, we use the formula:
m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

We'll use the points (0, 25) and (4, 37):
m=\frac{37-25}{4-0}=\frac{12}{4}=3

The value of b (the y-intercept) is the value of y when x=0, which is 25.

So the equation is y=3x+25 (choice A).
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8. A substance has a half life of 2.347 minutes.
mina [271]

Answer:

a.) 4 half lives have passed

b) 9.388 minutes

Step-by-step explanation:

Formula for exponential growth / decay is given as:

A=A_0b^{\frac{t}{c}}

Where A is the final population

A_0 is the initial population

b is the growth factor

c is the time taken for the growth 'b'

t is the amount of time

Here, we are given that:

A = 6. 9 grams

A_0 = 110.4 grams

b = \dfrac{1}{2}

c = 2.347 min

To find:

a.) Number of half lives taken for the decay.

b.) Total time in the decay.

Solution:

a.) Number of half lives taken for the decay is nothing but equal to \frac{t}{c}.

Putting the values in the formula, we get:

6.9=110.4\times \frac{1}2^{\frac{t}{c}}\\\Rightarrow 6.9=110.4\times 0.5^{\frac{t}{c}}\\\Rightarrow 0.0625=0.5^{\frac{t}{c}}\\\Rightarrow \dfrac{t}{c} =4

Therefore, the answer is:

<em>4 half lives </em>have passed.

b.) Total time of decay. We have to find the value of t here.

From answer of part a.):

\dfrac{t}{c} =4\\\Rightarrow \dfrac{t}{2.347} =4\\\Rightarrow t =\bold{9.388\ min}

7 0
2 years ago
Can someone help me with is one
ch4aika [34]

Answer:

C is your answer

Step-by-step explanation:

7 0
3 years ago
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