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lesya692 [45]
3 years ago
10

Mr.carlisle paid his utility bill last weekend.he paid $50 to the phone company,$112 to the power company,and $46 to the water c

ompany.after he paid those bills,what was the change in the total amount of money that mr carlisle had ?
Mathematics
1 answer:
azamat3 years ago
5 0
208
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What are the zeros of the quadratic function f(x) = 2x2 – 10x – 3?
Ipatiy [6.2K]

Answer:

x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}

Step-by-step explanation:

2x^2 - 10x - 3 = 0 \\\\a = 2 \ , b = - 10 \ , \ c =  - 3 \\\\x = \frac{-b^2\  \pm \ \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{10 \ \pm \sqrt{(-10)^2 - ( 4 \times 2 \times -3)} }{2 \times 2}\\\\x = \frac{10 \ \pm \sqrt{(100 - ( -24 )} }{4}\\\\x = \frac{10 \ \pm \sqrt{(100 + 24 } }{4}\\\\x = \frac{ 10 \ \pm \sqrt{124}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{4 \times 31}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{2^2 \times 31}}{4}\\\\x = \frac{ 10 \ \pm2 \sqrt{31}}{4}\\\\x = \frac{ 5 \ \pm\sqrt{31}}{2}\\\\

x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}

3 0
3 years ago
Identify all of the root(s) of g(x) = (x2 + 3x - 4)(x2 - 4x + 29).
RideAnS [48]

Answer:

The answer is 1, -4, 2+5i, 2-5i

Step-by-step explanation:

7 0
3 years ago
The equation 24x2+25x−47 ax−2 =−8x−3− 53 ax−2 is true for all values of x≠ 2 a , where a is a constant. What is the value of a?
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8 0
3 years ago
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Express as a trinomial.<br> (3x + 7)(3x + 4)
timama [110]

Answer:

9x² + 33x + 28

Step-by-step explanation:

(3x + 7)(3x + 4)\\= 3x(3x + 4) + 7(3x + 4)\\= 9x^2 + 12x + 21x + 28\\= 9x^2 + 33x + 28

5 0
3 years ago
What is the value of p if the line that passes through (2,-4) and (p,8) has a slope of 1/2? ​
Irina18 [472]

Answer:

Step-by-step explanation:

(2,-4)....x1= 2 and y1 = -4

(p,8).....x2 = p and y2 = 8

slope(m) = 1/2

now use the slope formula (y2 - y1) / (x2 - x1) and sub in what we know...

slope(m) = (y2 - y1) / (x2- x1)

1 / 2 = (8 - (-4) / (p - 2)

1 / 2 = (8 + 4) / (p - 2)

1/2 = 12 / (p - 2) .....now multiply both sides by (p - 2)

1/2(p - 2) = 12

1/2p - 1 = 12

1/2p = 12 + 1

1/2p = 13

p = 13 / (1/2)

p = 13 * 2/1

p = 26

so the value of p is 26

6 0
4 years ago
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