4 years ago

This system has one solution.

Mathematics

2 answers:

lana [24]4 years ago

4 0

Answer:

y = 7

Step-by-step explanation:

VMariaS [17]4 years ago

3 0

Answer:

y=7

Step-by-step explanation:

The given system is

$y=x^2-3x+7$

and

$y=3x-2$

We equate the two equations to find their point of intersection.

$x^2-3x+7=3x-2$

$x^2-3x-3x+7+2=0$

$x^2-6x+9=0$

$(x-3)^2=0$

$x-3=0$

$x=3$

The y-coorinate is

$y=3(3)-2$

$y=9-2=7$

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In one full day, 108 gallons of water seep into a pond. At this same rate, how many gallons will seep into the pond in 60 hours?

Alika [10]

Answer:

270

Step-by-step explanation:

108 divided by 24 is 4.5. 4.5 is how many gallons per hour. then, 4.5 times 60 equals 270.

6 0

3 years ago

PLEASE PLEEEASE HELP ME IM BEGGING YOU WITH ALL MY HEART YOU GET 20 POINTS Solve for m:(m-4)^3 = (1/8)^-1

yawa3891 [41]

You can simplify the right side. Then, you need to take cube roots.
(m -4)³ = 1/(1/8) . . . rule of exponents
(m -4)³ = 8 . . . . . . .simplify
m -4 = ∛8 . . . . . . . take cube roots
m -4 = 2 . . . . . . . . use your calculator or knowledge to find ∛8
m = 6 . . . . . . . . . . add 4

The solution is m = 6.

_____
If you subtract the right side, you get a function of m that is zero when m has the right value. This graph shows that value is m = 6.