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gregori [183]
3 years ago
15

Remember that to multiply means: add any given number or quantity to itself a certain number of times. Look at the expression 3

+ 3 + 3 + 3. How would you write this as a multiplication problem? How would you write the expression (-3) + (-3) + (-3) + (-3) as a multiplication problem?
Mathematics
1 answer:
brilliants [131]3 years ago
3 0

(3+3+3+3=12) (3x4=12)

(-3) +(-3)+ (-3)+ (-3)= (-12) (-3x4=-12)

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A rock was thrown from the top of a cliff such that its distance above sea level was given by s(t)= at² + bt + c, where t is the
frutty [35]

Answer:

<h2>a) a = -3, b = 18, c = 48; </h2><h2>s(t) = -3t²+18t+48</h2><h2>b) 48m</h2><h2>c) 8secs</h2>

Step-by-step explanation:

The question is incomplete. Here is the complete question.

'A rock was thrown from the top of a cliff such that its distance above sea level was given by s(t)=at²+bt+c, where t is the time in seconds after the rock was released. After 1 second the rock was 63 m above sea level, after 2 seconds 72 m, and after 7 seconds 27 m. a. Find a, b and c and hence an expression for s(t). b. Find the height of the cliff. c. Find the time taken for the rock to reach sea level.'

Given the equation of the distance modelled as s(t)=at²+bt+c

If after 1 second the rock was 63 m, then 63 = a+b+c

If after 2 seconds, the distance was 72 m then 72 = 4a+2b+c

Also if after 7 seconds, the distance is 27 m, then 27 = 49a+7b+c

i) Solving the 3 equations simultaneously to get a, b and c we have;

a+b+c = 63 ... 1

4a+2b+c = 72 ...2

49a+7b+c = 27 ...3

Subtracting 2 from 1 and 3 from 2 we will generate 2 new equations as shown;

eqn 2- eqn1: 3a + b = 9...4

eqn 3- eqn 2: 45a + 5b = -45

eqn 3- eqn 2: 9a+b = -9 ... 5

solving 4 and 5 simultaneously

3a + b = 9 ...4

9a+b = -9 ... 5  

Taking the difference of 4 and 5 we have

6a - -9-9

6a = -18

a = -3

substituting a = -3 into equation 4 to get b we have;

3(-3)+b = 9

-9 + b = 9

b = 9+9

b = 18

substituting a = -3 and b = 18 into equation 1 to get c we have;

-3+18+c = 63

15+c = 63

c = 48

a = -3, b= 18 and c = 48

The distance function will be s(t) = -3t²+18t+48

ii) If the height of the cliff is modelled by the equation  s(t)=at²+bt+c

The height of the cliff is at when t = 0

s(0) = -3(0)²+18(0)+48

s(0) = 48m

The height of the cliff is 48m

iii) At the sea level, the height of the rock will be 0m, substituting this into the modeled equation for the height to get the time we have;

s(t)=at²+bt+c

0 = -3t²+18t+48

3t²-18t-48 = 0

t² - 6t - 16 =0

t² - 8t+2t - 16 = 0

t(t-8)+2(t-8) = 0

(t+2)(t-8) = 0

t = -2 or 8

Taking the positive value of the time, t = 8secs

Time taken for the rock to reach sea level is 8secs

7 0
3 years ago
A magazine publisher mails a survey to every subscriber asking about the quality of its subscription service.
scoray [572]
A Statistic.

Since they want to know how their magazine are, they are gonna make a survey. In the survey, the people are statistics to see how well their magazines are. With that, they can decide to change their subjects or whatever it is. Hope this helps!
3 0
3 years ago
This is part two of the questions
vodomira [7]

Answer:

Step-by-step explanation:

5 0
3 years ago
Amazon's distribution center has 450 employees. The company plans to increase it's staff by 30%. How many new employees will the
lukranit [14]

Answer:

135 employees

Step-by-step explanation:

Turn 30% into a decimal: To turn a percent into a decimal, you move the decimal twice to the left.

30%=.3

Multiply: 450*.3=135

135 new employees

Hope this helped!! :)

Stay safe and have a wonderful day/night!!!!!

Brainliest?!?!

(I would show a picture of my work but I'm too lazy, lol)

5 0
3 years ago
Find the slope of the line that passes through the points (2 , 0) and (2 , 4).
ad-work [718]
\text {Slope = }  \dfrac{Y_2-Y_1}{X_2-X_1}

\text {Slope = }  \dfrac{4-0}{2-2}  =  \dfrac{4}{0} = \infty

The graph is a vertical line , x = 2
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3 years ago
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