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disa [49]
3 years ago
8

Apply the distributive property to create an equivalent expression. -9•(5j+k)

Mathematics
1 answer:
dmitriy555 [2]3 years ago
4 0
-45j+-9k
because -9 times 5j is -45j
and -9 times k is -9k
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Calculate the partial sum S for the sequence 243,81,27,....
Llana [10]

Answer:363


Step-by-step explanation:

We have to find partial sum for the sequence 243 , 81 , 27 ..... up to 5 terms(S5 given)

The sequence actually is 3^5,3^4.,3^3.....

Therefore first 5 terms are 1) 3^5 I.e. 243

2) 3^4 I.e. 81

3) 3^3 I.e. 27

4)) 3^2 I.e. 9

5) 3^1 I.e. 3

Adding all those no. we get partial sum of first 5 no. of the sequence

So, 243 + 81 + 27 + 9 + 3

= 363

Hope it helps!!!

4 0
3 years ago
Read 2 more answers
Find three consecutive integers such that the product of the first and third is 5 greater than 5 times the second.
ivolga24 [154]

Answer:

Step-by-step explanation:

3 consecutive integers....

1st integer = x

2nd integer = x + 1

3rd integer = x + 2

the product of 1st and 3rd is 5 greater then 5 times the 2nd...

x(x+2) = 5(x + 1) + 5

x^2 + 2x = 5x + 5 + 5

x^2 + 2x = 5x + 10

x^2 + 2x - 5x - 10 = 0

x^2 - 3x - 10 = 0

(x - 5)(x + 2) = 0

x - 5 = 0             x + 2 = 0

x = 5                   x = -2

so it will be : 5,6,and 7     or -2,-1, and 0

6 0
3 years ago
Ten points per answer plz hurry this is a timed quiz
4vir4ik [10]

Answer:

the solution is given by s=9 because it makes the value of 3s+12 equal to 21

Step-by-step explanation:

5 0
3 years ago
Find the imaginary solutions to the following quadratic function:
Temka [501]

Answer:

the solutions are these

Step-by-step explanation:

\frac{3}{14}  +  \frac{ \sqrt{159} }{14} i \: and  \\ \: \frac{3}{14}   -  \frac{ \sqrt{159} }{14} i

8 0
3 years ago
For which independent value do the equations generate the same dependent value?
nalin [4]

Answer:

x =  - 3

Step-by-step explanation:

The equations given are:

y_1=6x+10

y_2=4x+4

For the equations to generate the same independent value, then

y_1=y_2

This implies that:

6x+10 = 4x + 4

Group similar terms to get:

6x - 4x = 4 - 10

Simplify to get:

2x =   - 6

x =  - 3

5 0
3 years ago
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