Answer:
x = -1 and x = 7
Step-by-step explanation:
2x^2 + 2x - 14x - 14
2x^2 - 12x -14
Divide through by 2 to simplify the expression
x^2 - 6x - 7
x^2 - 6x -7
Now, let's think of two numbers that when added up gives -6 and when multiplied gives -7
Yes! It's -7 and +1
-7 + 1 = -6 , and -7* 1 = -7
Now, lets substitute these numbers in the expression
x^2 -7x + x - 7
factorize
x(x - 7) + 1(x - 7)
(x + 1) (x - 7)
Now equate to zero
(x + 1) (x - 7) = 0
x + 1 = 0
subtract 1 from both sides
x +1 - 1 = 0 -1
x = -1
Also,
x - 7 = 0
Add 7 to both sides
x -7 + 7 = 0 + 7
x = 7
Hence, x = -1 and x =7
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Ok so first I am assuming you ment 2 sevenths so 12 divided by 2 sevenths is 42. so the father is currently 42. so when she was 10 he was 40. since 10 is 4 times 40 that is the age we need. so 42 minus 40 is 2. therefore the answer is 2.
Answer will be A, and if you need help with math work Connects is a great app to use
Answer:
The smaller number is 4
Step-by-step explanation:
Larger number = x
Smaller number = y
Write 2 equations
y + 6 = x
2x = 5y
Substitute x in the first equation to the second equation
2(y + 6) = 5y
Multiply 2(y + 6)
2y + 12 = 5y
Subtract 2y from both sides of the equation
12 = 3y
Divide both sides of the equation by 3
y = 4
x = y + 6 = 4 + 6 = 10
The smaller number is 4
Hope this helps :)