What is an equation for the linear function whose graph contains the points (9, 7) and (4, −8) ?

1 answer:

5 0

Y=mx+b where m=slope which is change in y divided by change in x m=(-8-7)/(4-9)=-15/-5=3 so we have y=3x+b now we can use either point, I'll use (9,7), to solve for b or the y-intercept... 7=3(9)+b 7=27+b b=-20so our line is: y=3x-20

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The circle graph shows how Lelia spends her day.

Travka [436]

Answer:

D. 35%

Step-by-step explanation:

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In this case,

Homework = 10% of the pie chart.

School = 25% of the pie chart.

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4 years ago

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How is 8 the GCF of 56 and 96? Explain how to answer GCF questions.

sweet [91]

First, you need to list the factors of all the numbers.

Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56

Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

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Can some body help me for this problem, and thanks for the help

gulaghasi [49]

The exponent is greater than 1 so it is exponential growth, 500 in the equation represents the initial value, and the growth rate in the second equation is 6%.

<h3>What is exponential decay?</h3>

During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.

We have an exponential function:

$\rm b_1(t) = 500(1.6)^t$

a) As the base of the exponent is greater than 1 so it is exponential growth.

b) 500 in the equation represents the initial value.

c) We have another exponential equation:

$\rm b_2(t) = 800(1.6)^t$

For exponentikal gropwth:

1 + r = 1.6

r = 0.6 or

r = 6%

In the equation:

$\rm b_1(t) = 500(1.6)^t$

The number of bacteria initially was 500 and from the second the number of bacteria initially was 800.

Thus, the exponent is greater than 1 so it is exponential growth, 500 in the equation represents the initial value, and the growth rate in the second equation is 6%.

Learn more about exponential decay here:

brainly.com/question/14355665

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