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spin [16.1K]
3 years ago
6

Write a linear equation in standard form that crosses (4, -3) and (-2, 9): 

Mathematics
1 answer:
kirill115 [55]3 years ago
8 0
Slope =(9+3)/(-2-4) = 12/-6 = -2
Y+3 = -2 (×-4)  => y=-2×+5
D is the line asked
Slope: -1/3 
D: y-6 = -1/3 (×-3) or y= -1/3× + 7
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Jenny has three times as much money as Peter. Together they have $44. How much do they each have
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33 & 11

Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i
bija089 [108]

Answer: \bold{a)\ P(t)=P_o\cdot e^{t\cdot ln(2.7)}}

               b) 5314

               c) ln 2.7

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<u>Step-by-step explanation:</u>

P(t) = P_o\cdot e^{kt}\\\\\bullet \text{P(t) is the number of bacteria after t hours} \\\bullet P_o\text{ is the initial number of bacteria}\\\bullet \text{k is the rate of growth}\\\bullet \text{t is the time (in hours)}\\\\\\270=100\cdot e^{k(1)}\\2.7=e^k\\ln\ 2.7=\ln e^k\\\boxed{ln\ 2.7=k}\\\\\text{So the equation to find the number of bacteria is: }\boxed{P(t)=P_o\cdot e^{t\cdot ln(2.7)}}\\\\\\P(4)=100\cdot e^{4\cdot ln(2.7)}\\.\qquad =\boxed{5314}

10,000=100\cdot e^{t\cdot ln(2.7)}\\100=e^{t\cdot ln(2.7)}\\ln\ 100=ln\ e^{t\cdot ln(2.7)}\\ln\ 100=t\cdot ln(2.7)\\\dfrac{ln\ 100}{ln\ 2.7}=t\\\\\boxed{4.6=t}

4 0
3 years ago
In a survey of 200 employees, 65% agreed that the management of the cafeteria should be changed. If the confidence interval is 9
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c.136

Step-by-step explanation:

7 0
3 years ago
130 inches, 4 yards, or 10 feet shortest to longest
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6 0
2 years ago
Solve each system by graphing:<br> Y= 1/4x-4 <br> Y= -x+1
AlexFokin [52]
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