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Slav-nsk [51]
2 years ago
6

I think of a number, multiply it by three, and add four. I get twenty two.

Mathematics
2 answers:
dlinn [17]2 years ago
6 0

Answer:

the answer should be like 3×6+4=22

Step-by-step explanation:

im not sure with A I mean, forming an equation, I guess it should be 3x+4=22 that's all as texted and for B

what I did was subtract 4 from 22 which I got 18 and then I divided 18 with 3, since the question said it was multiplied by 3.

22-4=18.

18÷3=6. 6×3=18

3×6+4=22

I hope this will help.

melomori [17]2 years ago
3 0

Step-by-step explanation:

3x+4=22

3x=22-4

3x=18

x=18/3

x=6

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John’s father is 5 times older than John and John is twice as old as his sister Alice. In two years time, the sum of their ages
oksano4ka [1.4K]

Answer:

John’s age is 8 years

Step-by-step explanation:

Let

x -----> John’s father's age

y -----> John’s age

z -----> John’s sister's age

we know that

x=5y -----> equation A

y=2z

z=y/2 -----> equation B

(x+2)+(y+2)+(z+2)=58

x+y+z+6=58

x+y+z=52  -----> equation C

Substitute equation A and equation B in equation C and solve for y

5y+y+y/2=52

Multiply by 2 both sides to remove the fraction

10y+2y+y=104

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y=8

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x=5(8)=40

<em>Find the value of z</em>

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John’s father's age is 40 years

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7 0
3 years ago
Without actual division prove that x4 +2x3 -2x2 +2x -3 is exactly divisible by<br> x2 +2x-3
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Answer:

Step-by-step explanation:                

\displaystyle\Large\boldsymbol{} x^4+2x^3-2x^2+2x-3= \\\\\\x^4+2x^2(x-1)+2x-\underbrace{2-1}_{-3}=  \\\\\\x^4-1+2x^2(x-1)+2x-2 = \\\\\\(x^2-1)(x^2+1)+2x^2(x-1)+2(x-1) = \\\\\\\underline{(x-1)}(x+1)(x^2+1)+2x^2\underline{(x-1)} +2\underline{(x-1)} =\\\\\\(x-1)((x+1)(x^2+1)+2x^2+2)=\\\\\\(x-1)(x^3+x^2+2x^2+x+2+1)=\\\\\\(x-1)(x^3+3x^2+x+3) =\\\\\\(x-1)( \underline{(x+3)}x^2+\underline{(x+3)})=(x^2+1)\underbrace{(x-1)(x+3)}_{x^2+2x-3}= \\\\\\(x^2+1)(x^2+2x-3) : (x^2+2x-3)=x^2+1

7 0
2 years ago
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