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kolbaska11 [484]
2 years ago
13

(5k-3) (9+k) What is the value of K ?

Mathematics
2 answers:
slavikrds [6]2 years ago
7 0
K= 3/5 or -9 set each factor equal to zero and solve for x
UNO [17]2 years ago
3 0
Set the factors equal to 0.

(5k - 3)(9 + k) = 0

The zero product property states that if two terms being multiplied have a product of zero, then at least one of them must be zero.  In our case, this means we can set both (5k - 3) and (9 + k) equal to 0:

5k - 3 = 0
5k = 3
k = 3/5

9 + k = 0
k = -9

The value of k is 3/5 and -9.
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3 0
2 years ago
Melissa, Dan, and Henry have $87 in their wallets. Dan has 3 times what Henry has. Melissa has $8 less than Henry. How much does
puteri [66]

Answer:

Henry has $19, Dan has $57, and Melissa has $11

Step-by-step explanation:

Let x represent how much money Henry has

Since Dan has 3 times what Henry has, his amount is 3x

Since Melissa has $8 less than Henry, her amount is x - 8

Create an equation that sets these 3 values equal to 87, then solve for x

(x) + (3x) + (x - 8) = 87

5x - 8 = 87

5x = 95

x = 19

So, Henry has $19

Find how much Dan has by multiplying 19 by 3

19(3)

= 57

Find how much Melissa has by subtracting 8 from 19

19 - 8

= 11

So, Henry has $19, Dan has $57, and Melissa has $11

8 0
2 years ago
Read 2 more answers
The concept and full method
marin [14]

Answer:

Step-by-step explanation:

This kinda looks like the limiting definition of a derivative.  

Anyway, what we are doing with the f(2 + h) is evaluating f(x) with 2+h in place for x.  That looks like this:

f(2 + h) = 2(2 + h) - 3 which simplifies to

f(2 + h) = 4 + 2h - 3 which simplifies to

2h + 1

From that we are subtracting f(2).  What we are doing with that is evaluating f(x) with 2 in place for x.  That looks like this:

f(2) = 2(2) - 3 which simplifies to

f(2) = 4 - 3 which simplifies to

f(2) = 1.  Now put those together over h to get:

\frac{f(2+h)-f(2)}{h}=\frac{2h+1-1}{h}=\frac{2h}{h}=2

5 0
3 years ago
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