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lara31 [8.8K]
3 years ago
5

How many solutions does the following equation have? 5k - 9 = 5k + 2

Mathematics
2 answers:
I am Lyosha [343]3 years ago
6 0

5k - 9 = 5k + 2

move 5k to the left side

sign changes from+5k to -5k

5k-5k-9=5k-5k+2

0-9= 0+2

-9=2

Answer:

no solution

wolverine [178]3 years ago
4 0

Answer:

Step-by-step explanation:

try google algebra calculator

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Write this function in vertex form, and Identify its vertex x^2-4x-17
Umnica [9.8K]
X^2-4x-17 is the same as 1x^2 + (-4)x + (-17)

It is in the form y = ax^2 + bx + c where

a = 1
b = -4
c = -17

To find the value of h, we use this formula
h = -b/(2a)
h = -(-4)/(2*(1))
h = 4/2
h = 2

Plug this back into the original function to find k
k = x^2-4x-17
k = (2)^2-4(2)-17
k = 4-8-17
k = -4-17
k = -21

So we know that a = 1, h = 2 and k = -21 making
y = a(x-h)^2 + k
turn into
y = 1(x-2)^2 - 21
which is now in vertex form. The vertex is (h,k) = (2,-21)
4 0
3 years ago
I need to know how to do this
kiruha [24]
1) 2
2) 3
3) 4
4) 7
Hope this helps ^-^
5 0
3 years ago
A store is selling a hat at a 55 percent markup. The store originally paid 16$ for the hat. What is the retail price for the hat
frutty [35]

Answer:

$24.8

Step-by-step explanation:

16 times 55% is 8.8

4 0
3 years ago
Diana had a large stack of playing cards. She knew that 17 of them were kings. She took a sample of 30 cards and found 4 kings.
Mandarinka [93]

Answer:

Diana approximately had 128 cards

Step-by-step explanation:

Let n  be the number of cards Diana had. She knows that

  • there are 17 kings among n cards
  • 4 kings among 30 cards

Write a proportion:

\dfrac{17}{n}=\dfrac{4}{30}

Cross multiply:

4n=17\cdot 30\\ \\4n=510\\ \\n=\dfrac{510}{4}=127.5\approx 128

5 0
3 years ago
The original cost of Sam’s investment is $10,000. After liquidating the investment, Sam calculated his real return to be $10,700
Sati [7]

Answer:

7%

Step-by-step explanation:

Step one:

given data

The original cost of Sam’s investment is $10,000

Sam calculated his real return to be $10,700

Required:

the interest made from the investment is

10700-10000= $700

Step two:

The ROI is a percentage that tells us the interest made

interest/investment*100

=700/10000*100

=0.07*100

= 7%

The ROI is 7%

7 0
3 years ago
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