All categories

4 years ago

24 POINTS!!!!!!!!!!!!!!!!!! Factor the expression. 4d + 12

Mathematics

1 answer:

marin [14]4 years ago

5 0

Hi there.

Factor
4d + 12
4( d + 3)

I hope that's help !

You might be interested in

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions

liq [111]

Answer:

The function has two real roots and crosses the x-axis in two places.

The solutions of the given function are

x = (-0.4495, 4.4495)

Step-by-step explanation:

The given quadratic equation is

$G(x) = -x^2 + 4x + 2$

A quadratic equation has always 2 solutions (roots) but the nature of solutions might be different depending upon the equation.

Recall that the general form of a quadratic equation is given by

$a^2 + bx + c$

Comparing the general form with the given quadratic equation, we get

$a = -1 \\\\b = 4\\\\c = 2$

The nature of the solutions can be found using

If $b^2- 4ac = 0$ then we get two real and equal solutions

If $b^2- 4ac > 0$ then we get two real and different solutions

If $b^2- 4ac < 0$ then we get two imaginary solutions

For the given case,

$b^2- 4ac \\\\(4)^2- 4(-1)(2) \\\\16 - (-8) \\\\16 + 8 \\\\24 \\\\$

Since 24 > 0

we got two real and different solutions which means that the function crosses the x-axis at two different places.

Therefore, the correct option is the last one.

The function has two real roots and crosses the x-axis in two places.

The solutions (roots) of the equation may be found by using the quadratic formula

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

$x=\frac{-(4)\pm\sqrt{(4)^2-4(-1)(2)}}{2(-1)} \\\\x=\frac{-4\pm\sqrt{(16 - (-8)}}{-2} \\\\x=\frac{-4\pm\sqrt{(24}}{-2} \\\\x=\frac{-4\pm 4.899}{-2} \\\\x=\frac{-4 + 4.899}{-2} \: and \: x=\frac{-4 - 4.899}{-2}\\\\x= -0.4495 \: and \: x = 4.4495 \\\\$

Therefore, the solutions of the given function are

x = (-0.4495, 4.4495)

A graph of the given function is also attached where you can see that the function crosses the x-axis at these two points.

6 0

3 years ago

Katie has $50 in a saving account at the beginning of the summer. She wants to have at least $20 in the account by the end of th

RideAnS [48]

She can only withdrawl 30 dollars

6 0

3 years ago

Si pedro tiene un saldo de -1285 y paga 750. Cual es su nuevo saldo?<br> Con procedimiento por favor

ololo11 [35]

-1285 + 750 = -535 porque el está pagando 750 el balance que le queda es -535

4 0

4 years ago

Read 2 more answers

PLEASE. It’s due in 30min.

olasank [31]

Answer:

BC, DB, CD

Step-by-step explanation:

The side opposite the largest angle must be the largest side and the side opposite the smallest angle must be the shortest. 96 degrees is opposite CD and 30 degrees is opposite BC.

6 0

3 years ago

louisa used a gift card to pay for 3 meals at a vegetarian restauant each meal cost $6 by how much has the value of the gift car

Naya [18.7K]

-18. The value has gone down $18 on the gift card.

8 0

4 years ago