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Ket [755]
3 years ago
6

Solve the system of equations: y=x^2+3x-6 y=2x-6

Mathematics
2 answers:
alexira [117]3 years ago
5 0
<h3>Hey .... </h3>

here's your answer in the given attachment

san4es73 [151]3 years ago
5 0

Answer:

Solution: {(-1,-8), (0,-6)}

Step-by-step explanation:

y=x^2+3x-6 ............(1)

y=2x-6 ....................(2)

Solution:

by comparison, the right-hand sides of both equations are equal (to y)

x^2+3x-6 = 2x - 6

Transpose and simplify

x^2 -x = 0

x = -1 or x=0

Substitute  x = -1 in (2)

y = 2(-1) -6 = -8  ..............(-1,-8)

substitute x = 0 in (2)

y = 2(0) -6 = -6 ...............(0,-6)

So there are two solutions, corresponding to the intersection of the quadratic and the straight line.

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Evaluate the expression when z= -12<br> 1/2z^2
icang [17]

Answer:

Exact Form: z = 0, -2/25

Decimal Form: 0, -0.08

Step-by-step explanation:

I used cymath.com. I highly recommend it. It shows you the steps to the problem you want to solve!

I hope this helps! :)

The last step is to solve for z

8 0
2 years ago
Suppose that the probabilities that an answer can be found on Google is .95, on Answers is .92, and on both Web sites is .874. A
Assoli18 [71]

Answer:

The correct option is

a) Yes, because (0.95)(0.92) = 0.874

Step-by-step explanation:

An event is independent if the following condition is satisfied

P(A\bigcap B)= P(A)P(B)

Therefore, since the the probability that the answer can be found in Google = 0.95 and the probability that the answer can be found in Answers = 0.92

The probability that the answer can be found on both websites,  

P(A\bigcap B) = 0.874

We check, P(A) × P(B) = 0.95×0.92 = 0.874 = P(A\bigcap B) = 0.874

Therefore, the possibilities of finding the event on the two websites is independent.

5 0
2 years ago
A van travels 125 miles on 5 gallons of gas. Find the distance the van can travel if the fuel tank contains 12 gallons of gas???
kobusy [5.1K]

Answer:

300 miles

Step-by-step explanation:

125/5 = 25 mpg

12 x 25 = 300 miles

8 0
2 years ago
The minute hand of a clock is 9.5cm long, How far does the tip of the hand travel in one day?
earnstyle [38]
The tip of the hand travels the circumference of a circle with radius (r) 9.5 cm every hour;
The formula for circumference of a circle (c) is:
c = πd = 2πr
So, for a circle with radius 9.5, the circumference is:
c = 2π(9.5)
= 19π cm
The tip travels 19π cm every hour, so in a day of 24 hours it will travel:
24 * 19π = 456π cm
(= 1432.566... ⇒ 1432.6 cm)

4 0
3 years ago
A store has 300 televisions on order, and 30% are high definition. How many televisions on order are high definition? You may fi
scZoUnD [109]

Answer:90

Step-by-step explanation:

3 0
2 years ago
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