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eimsori [14]
3 years ago
12

9 less than 7 times some number is -6

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

Answer:

x=3/7

Step-by-step explanation:

7x -9 = -6

7x 3/7 = 3

3-9 =-6

Anestetic [448]3 years ago
3 0

Answer:

the difference between 7 times a number and 9 less than a number ...

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Write the interval {xl-3 &lt; x &lt; 5}<br> as an inequality and using interval<br> notation.
madam [21]

Step-by-step explanation:

\{x\ |\ -3

8 0
3 years ago
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 fraction is shown 5/9 which number equivalent to the fraction
Alexandra [31]

Answer:

10/18 or 25/45

Step-by-step explanation

<h2></h2>
5 0
2 years ago
What’s the surface area
STALIN [3.7K]

Answer: 38 in.^{2}


Step-by-step explanation:

1/ Find the area of the triangular sides. (1/2 x 2 x 6 = 6 in.^{2} for each triangular side)

2/ Find the area of each of the rectangular sides. In this case, the bottom (base) side is 2x6 = 12 in^{2}. The rectangular side on the left is 2x3 = 6 in.^{2}, and the rectangular side on the right is 4x2 = 8 in.^{2}.

3/ Add everything together. Rectangular Sides + Triangular Sides = Surface Area ---> 12 in.^{2} + 6 in.^{2} + 8 in.^{2} + 6 in.^{2} + 6 in.^{2} = 38 in.^{2}

4/ You have your answer, now hope it helps ! :)

4 0
3 years ago
Anybody can solve it ??<br><br>​
Galina-37 [17]

Answer:

Calculus can be arranged in 5040 different ways in which the letter C's do not come together.

Step-by-step explanation:

Please mark as brainliest

8 0
3 years ago
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