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3 years ago

12

Find the minimum turning point of y = x^2 + x - 12

2 answers:

MAVERICK [17]3 years ago

8 0

Answer:x=6

Step-by-step explanation:

artcher [175]3 years ago

5 0

Answer:

(x+4)(x-3)

Step-by-step explanation:

x^2+x-12

=x^2+(4-3)x-12

=x^2+4x-3x-12

=x (x+4)-3 (x+4)

=(x+4)(x-3)

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Solve the following quadratic equation by completing the square ✓3x^2 + 10x + 7✓3 = 0

solmaris [256]

$\sqrt{3}x^2+10x+7\sqrt{3}=0\\\\\sqrt3(x^2+\dfrac{10x}{\sqrt{3}}+7)=0\\\\x^2+\dfrac{10x}{\sqrt{3}}+7=0\\\\x^2+\dfrac{10x}{\sqrt{3}}+\dfrac{25}{3}-\dfrac{25}{3} +7=0\\\\(x+\dfrac{5}{\sqrt{3}})^2 = \dfrac{4}{3}\\\\|x+\dfrac{5}{\sqrt{3}}| = \dfrac{2}{\sqrt{3}}\\\\x_1 = \dfrac{2}{\sqrt{3}}-\dfrac{5}{\sqrt{3}} = -\dfrac{3}{\sqrt{3}} = -\sqrt{3}\\\\x_2 = -\dfrac{2}{\sqrt{3}}-\dfrac{5}{\sqrt{3}} = \dfrac{-7}{\sqrt{3}} = -\dfrac{-7\sqrt{3}}{3}$

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3 years ago

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3 years ago

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olya-2409 [2.1K]

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Step-by-step explanation:

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3 years ago

The daily supply of oxygen for a particular multicellular organism is provided by 625 feet of lawn. A total of 3,750 square feet

Ainat [17]

Answer:

The answer to your question is 6 organisms.

Step-by-step explanation:

Data

625 ft² -------- 1 multicellular organism

3750 ft² -- number of organisms

Process

1.- To know the number of organisms that can supply 3750 ft² of lawn, we need to use proportions and cross multiplication.

625 ft² ------------------ 1 multicellular organisms

3750 ft² ------------------ x

x = (3750 x 1) / 625

x = 3750 / 625

x = 6

2.- Conclusion

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3 years ago

Find the distance between the points (7,23) and (3,-3), rounded to the hundredths place

Molodets [167]

Answer:

26.31

Step-by-step explanation:

Use distance formula

d = $\sqrt{(x_{2}-x_{1)^{2} + (y_{2}-y_ ^{1)^2} } }$

substitute in points and solve

d = $\sqrt{(7-3)^2 + (23-(-3))^{2} }$

d = $\sqrt{4^{2}+26^{2} }$

d = $\sqrt{16 + 676}$

d = $\sqrt{692}$

d = 26.30589288

d = 26.31 rounded

5 0

3 years ago