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2 years ago

Given a slope of -1 and the point (-2, -2), find the Y-intercept of the line.

Mathematics

1 answer:

Natali [406]2 years ago

4 0

Answer:

The y-intercept of the line is -4.

Step-by-step explanation:

y-y=m(x-x¹)

y-(-2)=-1(x-(-2))

y+2=-1x-2

-2 -2

y=-1x-4

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Marco starts with a population of 10 bacteria that doubles every day for a number of days, d. He writes the expression 10(2d) to

riadik2000 [5.3K]

Answer:

Marco- 10 is the starting value of the population. 2 is the growth rate of "double each day" with d as an exponent.

Isabella- 1 is the starting population. 1+0.2=1.2 is the rate at which it grows each day.

Step-by-step explanation:

Marco's equation should be $10(2^{d})$ since the bacteria double each day. 10 is the starting value of the population. 2 is the growth rate of "double each day" with d as an exponent. This will double each day because:

Day 1 is $2^{1}=2$

Day 2 is $2^{2}=4$

Day 3 is $2^{3}=8$

Day 4 is $2^{4}=16$

You'll notice the value doubles each day.

Isabella has a different equation because her population increases by a percentage. We use the simple interest formula to calculate the bacteria's daily increase or interest.

1(1+0.2)d

1 is the starting population.

1+0.2=1.2 is the rate at which it grows each day.

3 0

3 years ago

Read 2 more answers

Can someone please help me on 20 and 21

Feliz [49]

For number 20 x = 4

3 0

2 years ago

Can somebody help me on these two

Zarrin [17]

to find the slope for the first one, use the formula $\frac{y2-y1}{x2-x1}$

(It's the slope formula)

so... $3=y2, 3=y1, 2=x2, 10=x1$

then plug in... $\frac{3-3}{2-10} =\frac{0}{-8} = 0$

this line has a slope of 0

As for the miles problem, to find mph, the miles have to be at 1.

so... $4x=242\\x=60.5$

therefore, he drove 60.5 mph

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2 years ago

At 1:00 p.m., the water level in a pool is 13 inches. At 1:30 p.m., the water level is 18 inches. At 2:30 p.m.,the water level i

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The pool water goes up 5 inches every half hour.

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2 years ago

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A certain antihistamine is often prescribed for allergies. A typical dose for a 100-pound person is 25 mg every six hours. Comp

koban [17]

Given that a certain antihistamine is often prescribed for allergies.

And typical dose for 100-pound person is 25 mg every 6 hours.

a) Let us calculate dose per 1 hour for 100-pound person= $\frac{25}{6} mg/hr$

Since 1 week means 7X24= 168 hours, dosage per 1 week = dosage per 168 hours

$=168X\frac{25}{6} = 700mg$

The number of 12.8 chew able tablets would be taken in a week= $\frac{700}{12.8}=54.6875$

Hence number of 12.8mg chew able tablets would be taken in a week is 55.

b) Now we can use earlier answer for this problem, since 12.8mg tablet is replaced with 9ml liquid, 55 bottles of 9ml liquid are to be taken in a week.

Hence amount of liquid histamine should a 100-pound person take in a week = 55X9

=495ml

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2 years ago

Given a slope of -1 and the point (-2, -2), find the Y-intercept of the line. ​

Given a slope of -1 and the point (-2, -2), find the Y-intercept of the line.