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3 years ago

The larger root of the equation (x+4)(x+3)=0 is and why???

2 answers:

7 0

$(x+4)(x+3)=0 \\
x+4=0 \ \lor \ x+3=0 \\
x=-4 \ \lor \ x=-3 \\ \\
-4 < -3 \\ \\
\hbox{the larger root} \Rightarrow \boxed{ -3}$

Monica [59]3 years ago

6 0

Break the problem down into (x+4)=0 and (x+3)=0
X+4=0 so you subtract 4 from each side giving you x=-4
X+3=0 subtracting 3 from each side giving you x=-3
-3 is larger than -4 because when dealing with negative numbers, you want to be as close to one because that means the number is bigger.
Therefore -3 is the larger root

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The length of a rectangle is increasing at a rate of 6 cm/s and its width is increasing at a rate of 5 cm/s. When the length is

Rudiy27

Answer:

Area of the rectangle is increasing with the rate of 84 cm/s.

Step-by-step explanation:

Let l represents the length, w represents width, t represents time ( in seconds ) and A represents the area of the triangle,

Given,

$\frac{dl}{dt}=6\text{ cm per second}$

$\frac{dw}{dt}=5\text{ cm per second}$

Also, l = 12 cm and w = 4 cm,

We know that,

A = l × w,

Differentiating with respect to t,

$\frac{dA}{dt}=\frac{d}{dt}(l\times w)$

$=l\times \frac{dw}{dt}+w\times \frac{dl}{dt}$

By substituting the values,

$\frac{dA}{dt}=12\times 5+4\times 6$

$=60+24$

$=84$

Hence, the area of the rectangle is increasing with the rate of 84 cm/s.

3 0

3 years ago

X+5(x-1)=(x-3)4-1 anyone?

Troyanec [42]

Hi there!

First of all simplify x+5(x-1)=(x-3)4-1.
This would make 6x-5=4x-13.

Next, subtract 4x from both sides.
6x-5-4x=4x-13-4x
2x-5=-13

Then add 5 to both sides.
2x-5+5=-13+5
2x=-8

Finally divide by 2 on both sides.
2x/2=-8/2
x=-4

Your answer is -4.

Hope this helped!

3 0

3 years ago

Can some one please help me !!

andrew-mc [135]

Answer:

Step-by-step explanation:

When simplifying the expression you end up with that.

Hope it helps.

4 0

3 years ago

Which of the following numbers will produce an irrational number when added to 1/3

Marina86 [1]

Answer:

Step-by-step explanation:

_____

Good evening ,

_______________

I guess The right answers are A and B

Because when we add an rational to an irrational we get an irrational

You should notice that 2π and -√17 are irrationals.

_______________________________________

3 0

3 years ago

2 less than 3 times amount of boys. 26 in total how many boys

Wewaii [24]

3b-2=26

3b=24

b=8

8 boys.

6 0

4 years ago