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GenaCL600 [577]
3 years ago
7

Factor completely 3x3 + 12x2 + 18x.

Mathematics
2 answers:
Sedbober [7]3 years ago
6 0

Step-by-step explanation:

solved in the picture....

egoroff_w [7]3 years ago
4 0

Answer:

The factored form of the given expression is 3x(x^2+4x+6).

Step-by-step explanation:

The given expression is

3x^3+12x^2+18x

we need to find the factored form of the given expression.

Taking GCF common, we get

3x(x^2+4x+6)

If a quadratic expression is defined as ax^2+bx+c and

b^2-4ac, then the expression can not be factored further.

In the above parentheses the quadratic expression is x^2+4x+6,

b^2-4ac=(4)^2-4(1)(6)=-8

It means the quadratic expression is x^2+4x+6 can not be factored further.

Therefore the factored form of the given expression is 3x(x^2+4x+6).

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Multiply and simplify.
ankoles [38]

Answer:

10  g^4  h^9

Step-by-step explanation:

-5gh^4 * (-2g^3 h^5)

Rewriting

-5*-2   g*g^3   h^4*h^5

When the bases are the same, we add the exponents (x^a * x^b = x^ (a+b)

There is an implied 1  if there is no exponent

-5*-2   g^1*g^3   h^4*h^5

10  * g^(1+3)  h^(4+5)

10  g^4  h^9

4 0
3 years ago
Lee has $200 to spend on shirts at $22 each and pants $38 each. what inequality represents the possible number of shirts and pan
abruzzese [7]

The inequality that models the given situation will be y*$22 + x*$38 ≤ $220 And some solutions are (1, 1), (1, 2), (2, 2).

<h3>What is inequality?</h3>

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

To find the inequality, we need to define the variables that we will use, the variables are:

x = number of pants bought.

y = number of shirts bought.

Then Knowing the price of each individual item, the total cost will be given by:

C = y $22 + x $38

And Lee has $220 to spend, thus the maximum amount that he can spend is $220, we have the inequality:

y*$22 + x*$38 ≤ $220

Now, to find solutions we just need to find some values of x and y that make the inequality true, i.e , one solution is x = 1 and y = 1.

1*$22 + 1*$38 ≤ $220

$60 ≤ $220

Therefore, This is true, so (1, 1) is a solution.

Hence Another solutions are (2, 2), (1, 2), (0, 3), etc.

Learn more about inequality ;

brainly.com/question/14164153

#SPJ1

8 0
2 years ago
Read 2 more answers
A science class has 5 girls and 5 boys in the seventh grade and 5 girls and 3 boys in the eighth grade. The teacher randomly sel
NeX [460]
Probability that the 7th grader is a boy = number of boys / total kids = 5 / (5+5) = 5/10 or 1/2Probability that the 8th grader is a boy = number of boys / total kids = 3 / (5+3) = 3/8Probability that both are boys is calculated by multiplying both of the answers above: ½ * 3/8 = 3/16 or 0.1875
6 0
4 years ago
Find the missing side lengths​
AURORKA [14]

Answer:

X = 18

Y = 9√3

Step-by-step explanation:

use sin equation for right angle triangle

The sine of the angle

= ( the length of the opposite side ÷ the length of the hypotenuse.)

according to this question,

sin 30 = 9 / X

1/2 = 9 / X

X = 18

use cosine to find y

The cosine of the angle

= (the length of the adjacent side ÷ the length of the hypotenuse.)

cos 30 = y/x

√3/2 = y/ 18

y = 9 ✓3

5 0
3 years ago
Which store charges more per towel? P=35 + 18n
brilliants [131]

Answer:

The man rushes through your door with his fists in the air, all of the sudden your vision went black, and he had stolen your points.

Step-by-step explanation:

5 0
3 years ago
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