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3 years ago

Solve the inequality -40 > -10k

1 answer:

4 0

Hi!

-40>-10k

Divide both sides by -10, and flip the inequality sign since we are dividing by a negative.

4<k

Have a nice day!

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Factor completely 4u^2 + 28u + 49

nata0808 [166]

$4u^2+28u+49=4u^2+14u+14u+49=2u(u+7)+7(u+7)=\\ \\=(u+7)(2u+7)$

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3 years ago

Why did the scientist create an exact duplicate of himself

galben [10]

To do his work that he didn't want to do.

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3 years ago

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3 years ago

I need help finding m

Dafna1 [17]

Answer:

<A = 27 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

Tan A = opp side / adj side

Tan A = 2/4

Tan A = 1/2

Taking the inverse tan of each side

tan^-1 ( tan A) = tan ^-1 (1/2)

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2 years ago

Please help with this Math Question...

Nataly [62]

Answer: A

<u>Step-by-step explanation:</u>

f(x) = x³ + 4x² + 7x + 6

possible rational roots are ±{1, 2, 3, 6}

Try x = -2

-2 | 1 4 7 6

1 2 3 0 ← remainder is 0 so x = -2 is a root ⇒ (x + 2) = 0

The factored polynomial x² + 2x + 3 = 0 is not factorable so use the quadratic formula to find the roots.

a=1, b=2, c=3

$x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}$

$x=\dfrac{-(2)\pm\sqrt{(2)^2-4(1)(3)} }{2(1)}$

$x=\dfrac{-2\pm\sqrt{4-12} }{2}$

$x=\dfrac{-2\pm\sqrt{-8} }{2}$

$x=\dfrac{-2\pm2i\sqrt{2}}{2}$

$x = -1 \pm i\sqrt{2}$

$x = -1 + i\sqrt{2}$ $x = -1 - i\sqrt{2}$

$x - (-1 + i\sqrt{2})=0$ $x - (-1 - i\sqrt{2})=0$

The factors are:

$(x - 2)[x - (-1 + i\sqrt{2})][x - (-1 - i\sqrt{2})]$

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3 years ago