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k0ka [10]
3 years ago
9

Why does the equation 35-5x+6x-36=-24-17x+17x+24 have one solution

Mathematics
2 answers:
Fittoniya [83]3 years ago
7 0
Combining like terms first

x-1=0

x=1

It has only one solution because only one value of x satisfies the equation.
seropon [69]3 years ago
3 0
If it has only one solution that means that there is only one value of x that will fulfill this equation
35 - 5x + 6x - 36 = -24 - 17x + 17x + 24
-5x + 6x - 36 = -24 -17x + 17x + 24 - 35
x - 36 = -24 + 24 - 35 (I just canceled out the 17x because it would have justy made the process longer if I moved them over)
x = -24 + 24 - 35 + 36
x = -35 + 36
x = 1
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in peter's garden, 3/4 of the flowers are tulips. of the tulips, 2/3 are yellow. what fraction of the flowers in peter's garden
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Half of the flowers are yellow tulips.

3 of the 4 columns are marked T for tulips.

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This shows us that 6 of the 12 boxes, 1/2, are yellow tulips.

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3 years ago
At a farm the ratio to cows to horses is 7:4 if there were 35 cows
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5 0
3 years ago
How many solutions does this equation have
larisa86 [58]

Answer:

Two solutions

Step-by-step explanation:

This is a quadratic equation in the form y = ax² + bx + c.

For quadratic equations, you can find solutions using the quadratic formula:

x = \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

To find the number of solutions, <u>you only need what's inside the square root</u>. We call it the "<u>discriminant</u>" because lets us know the number of solutions without solving.

b^{2}-4ac

If b²- 4ac > 0, two solutions. (greater than)

If b²- 4ac < 0, no solutions. (less than)

If b²- 4ac = 0, one solution. (equal to)

y = ax² + bx + c

y = -3x² + x + 12

a = -3   b = 1   c = 12

<u>Substitute into the discriminant</u>

b²- 4ac

= 1² - 4(-3)(12)

= 1 - (-144)

= 145 > 0

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Therefore, there are two solutions.

7 0
3 years ago
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