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Amiraneli [1.4K]
1 year ago
7

What is the solution set to the equation 4(x+3)(x-2)=0

Mathematics
1 answer:
Black_prince [1.1K]1 year ago
4 0
To simplify, let’s distribute the 4 through the first binomial:

4(x+3)=4x+12

We now have the equivalent equation:

(4x+12)(x-2)=0

We can apply the zero product property which states that if a•b=0, then a=0 or b=0:

4x+12=0

Solve for x:

4x=-12

x=-12/4

x=-3

(x-2) may also equal zero, so let’s find x that would equate to zero:

x-2=0

Solve for x:

x=2

Therefore the solution is: x = -3, 2
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defon
Respuesta:
Allí está el proceso, de nada <3

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2 years ago
Help me please ASAP !!!!!!!
kodGreya [7K]

Answer:

its A

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Step-by-step explanation:

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2 years ago
Please help! :))
denis23 [38]

Answer:

Check below

Step-by-step explanation:

Hi,

We're dealing with linear functions. f(x)=mx+b

We have here the first function.

g(x)=3x

That's a linear function, with slope, and no linear coefficient since

But on the other hand, the functions below, they all describe parallel lines, since their slope has the same value. I've changed the letters to make it easier the comprehension.

Even though each one has the same slope value, they have different non zero linear coefficients, {-6,-18,6,18}. Unlike, the first one

h(x)=3(9x-2) \rightarrow h(x)= 27x-6\\i(x)=9(3x-2)\rightarrow i(x)=27x-18\\j(x)=3(9x+2)\rightarrow j(x)=27x+6 \\k(x)=9(3x+2)\rightarrow k(x)=27x+18\\

A possible solution would be adjusting any of these, whose operation would result in g(x)=3x, but

Like

y=9(\frac{3x}{9}-2)+18 =3x

4 0
3 years ago
How do I graph -2=-2x+y
igor_vitrenko [27]
You must first set the y by itself. And use the slope formula to find the slope. 2 would be the point for the y axis
6 0
3 years ago
Punctele O, A, B, C sunt coliniare în această ordine, iar segmentele OA, AB și BC au lungimile exprimate în cm, prin numere natu
julia-pushkina [17]

Răspuns:

a) OC = 18cm

b) MN = 6cm

Explicație pas cu pas:

Găsiți diagrama la întrebarea atașată.

a) Din diagramă se poate observa că OC = OA + AB + AC

OC = 2n + 2n + 2 + 2n + 4

OC = 6n + 6

Următorul este să obțineți valoarea lui n:

OM = OA + AM

Să obținem segmentul AM;

Deoarece M este segmentul mijlociu al AC, atunci;

AM = AC / 2

AM = AB + BC / 2

AM = 2n + 2 + 2n + 4/2

AM = 4n + 6/2

AM = 2n + 3

Din moment ce OM = OA + AM

OM = 2n + 2n + 3

OM = 4n + 3

Dat fiind OM = 11

11 = 4n + 3

4n = 11-3

4n = 8

n = 2

Următorul pas este să calculați OC;

OC = 6n + 6

OC = 6 (2) + 6

OC = 18

Prin urmare, lungimea segmentului OC este de 18 cm

b) Această întrebare ne cere să găsim segmentul de linie MN.

Din diagramă, MN = AM - AN

Deoarece AM = 2n + 3 din întrebarea 1;

AM = 2 (2) +3

AM = 4 + 3

AM = 7

Acum, să obținem AN:

Din diagramă, AN = ON-OA și ON = OB / 2

AN = OB / 2 - OA

AN = (2n + 2n + 2) / 2 - 2n

AN = 4n + 2/2 - 2n

AN = 2n + 1 - 2n

AN = 2n-2n + 1

AN = 1

De la MN = AM - AN

MN = 7 - 1

MN = 6cm

Prin urmare, distanța dintre N, mijlocul segmentului OB și punctul M este de 6cm

6 0
3 years ago
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