Answer:
6
Step-by-step explanation:
g(x) = x2 - 4
g(5)= 5(2) - 4
g(5)= 10 - 4
g(5)= 6
Have a great day
Answer: The numbers are: " 21 " and " 105 " .
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Explanation:
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Let "x" be the "one positive number:
Let "y" be the "[an]othyer number".
x = 1/5 (y)
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Given that the difference of the two number is "84" ; and that "x" is (1/5) of "y" ; we determine that "x" is smaller than "y".
So, y − x = 84 .
Add "x" to each side of this equation; to solve for "y" in terms of "x" ;
y − x + x = 84 + x ;
y = 84 + x ;
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So, we have:
x = (1/5) y ;
and: y = 84 + x ;
Substitute "(1/5)y" for "x" ; in "y = 84 + x " ; to solve for "y" ;
y = 84 + [ (1/5)y ]
Subtract " [ (1/5)y ] " from EACH SIDE of the equation ;
y − [ (1/5)y ] = 84 + [ (1/5)y ] − [ (1/5)y ] ;
to get:
[ (4/5)y ] = 84 ;
↔ (4y) / 5 = 84 ;
→ 4y = 5 * 84 ;
Divide EACH SIDE of the equation by "4" ;
to isolate "y" on one side of the equation; and to solve for "y" ;
4y / 4 = (5 * 84) / 4 ;
y = 5 * (84/4) = 5 * 21 = 105 .
y = 105 .
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Now, plug "105" for "y" into:
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Either:
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x = (1/5) y ;
OR:
y = 84 + x ;
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to solve for "x" ;
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Let us do so in BOTH equations; to see if we get the same value for "x" ; which is a method to "double check" our answer ;
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Start with:
x = (1/5)y
→ (1/5)*(105) = 105 / 5 = 21 ; x = 21 ;
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So, x = 21; y = 105 .
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Now, let us see if this values hold true in the other equation:
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y = 84 + x ;
105 = ? 84 + 21 ?
105 = ? 105 ? Yes!
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The numbers are: " 21 " and "105 " .
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Answer:
x = 7.2
Step-by-step explanation:
5x - 36 - 11x = 3x + 36 + 3x
add like values together:
16x - 36 = 6x + 36
add 36 to each side:
10x = 72
divide by 10 to get x alone:
x = 7.2
Answer:
There is no possible answers
Step-by-step explanation:
We are told in the above question that:
"The HCF of my two numbers is 6.
This means the two numbers are factors of 6
"The LCM of my two numbers is 15"
LCM means the lowest common multiple.
This means the two numbers must be have 15 as one of its multiples.
From the above explanation above, there are no two numbers like that
15a - 54 = -9. Add 54 to each side.
15a = 45. Divide each side by 15.
a = 3
