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Pie
3 years ago
8

7p + 3(-6p + 2) > 7p+9+1 Someone help me

Mathematics
1 answer:
olga_2 [115]3 years ago
3 0

Answer:

p > -0.2222

Step-by-step explanation:

7p + 3(-6p + 2) > 7p + 9 +1

7p + (3*-6p + 3*2) > 7p + 10

7p - 18p + 6 > 7p + 10

-11p - 7p > 10 - 6

-18p > 4

p > 4/-18

p > -0.2222

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zloy xaker [14]

This is a quadratic equation. There's a shortcut (two shortcuts really) called the Shakespeare Quadratic Formula (2b or -2b) applicable when the middle term is even:

x^2 - 2bx + c \textrm{ has zeros } x= b\pm \sqrt{b^2-c}

ax^2 - 2bx + c \textrm{ has zeros } x= \dfrac 1 a( \left b\pm \sqrt{b^2-ac} \right)

OK, our problem is

9x^2 - 6x -7 = 0

x = \frac 1 9 (3 \pm \sqrt{9-(9)(-7)}) = \frac 1 9(3 \pm \sqrt{72})= \frac 1 9(3 \pm 3 \sqrt{8}) = \frac 1 3(1 \pm \sqrt 8)

Typically we'd write \sqrt 8 = 2 \sqrt 2 but the answers here don't so we won't either.

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7 0
3 years ago
How many times does the graph of 4x = 32 - x2 cross the x-axis ?
Molodets [167]

Answer:

x=4 orx=- 8

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32

=

0

Step 3: Factor left side of equation.

(

x

−

4

)

(

x

+

8

)

=

0

Step 4: Set factors equal to 0.

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5 0
2 years ago
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Answer:

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2 years ago
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2 years ago
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