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erma4kov [3.2K]
3 years ago
10

Bob is 3 years older than twiceJohn's age. The sum of their ages is 33. How old is Bob? B = 21 +3 J J + 2] +3=33 3J+3=33 -Be-3 C

-3 3:​
Mathematics
1 answer:
Gwar [14]3 years ago
3 0

Answer:

23

Step-by-step explanation:

1. according to the condition 'Bob is 3 years older than twiceJohn's age':

B-2J=3;

2. according to the condition 'The sum of their ages is 33':

B+J=33

3. If to solve these two equations as a system, then

\left \{ {{B+J=33} \atop {B-2J=3}} \right.  \ => \left \{ {{B=23} \atop {J=10}} \right.

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An object was launched off the top of a building. The function f(x)=-16x^2+16x+672 represents the height of the object above the
Katarina [22]

Answer:

6x2 + 16x = 672

Reorder the terms:

16x + 16x2 = 672

Solving

16x + 16x2 = 672

Solving for variable 'x'.

Reorder the terms:

-672 + 16x + 16x2 = 672 + -672

Combine like terms: 672 + -672 = 0

-672 + 16x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.

16(-42 + x + x2) = 0

Factor a trinomial.

16((-7 + -1x)(6 + -1x)) = 0

Ignore the factor 16.

Subproblem 1

Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying

-7 + -1x = 0

Solving

-7 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.

-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0

0 + -1x = 0 + 7

-1x = 0 + 7

Combine like terms: 0 + 7 = 7

-1x = 7

Divide each side by '-1'.

x = -7

Simplifying

x = -7

Subproblem 2

Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying

6 + -1x = 0

Solving

6 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.

6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0

0 + -1x = 0 + -6

-1x = 0 + -6

Combine like terms: 0 + -6 = -6

-1x = -6

Divide each side by '-1'.

x = 6

Simplifying

x = 6

Solution

x = {-7, 6}

Step-by-step explanation:

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