The value of x that will make the statement true is 1
Step-by-step explanation:
The given is:
- f(x) = x - 4
- g(x) = 2x + 3
We need to find the value of x which makes [f(x) + 2g(x)] = 7
∵ f(x) = x - 4
∵ g(x) = 2x + 3
∵ f(x) + 2g(x) = 7
- Multiply g(x) by 2
∵ 2g(x) = 2(2x + 3) = 2(2x) + 2(3) = 4x + 6
∴ 2g(x) = 4x + 6
∵ f(x) + 2g(x) = 7
∴ (x - 4) + (4x + 6) = 7
- Add the like terms in the left hand side
∴ (x + 4x) + (-4 + 6) = 7
∴ 5x + 2 = 7
- Subtract 2 from both sides
∴ 5x = 5
- Divide both sides by 5
∴ x = 1
The value of x that will make the statement true is 1
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The first one would be the government
<u>Answer:</u>
Total number of result at two polling location in a page election is represented by expression 8r + 11.
<u>Solution:</u>
Given that a page election result can hold r result.
Number of result at one polling location = 5r + 15
Number of result at second polling location = 3r - 4
Need to write simplified expression for total number of results at two polling location.
<em>Total number of results at two polling location</em> = Number of result at one polling location + Number of result at second polling location
=> Total number of results at two polling location = (5r + 15) + (3r - 4) = 8r + 11
Hence total number of result at two polling location is represented by expression 8r + 11.
Answer:
quizlet probably has your answer
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Given that z² is directly proportional to w then the equation relating them is
z² = kw ← k is the constant of proportion
To find k use the condition z = 4 when w = 8, thus
4² = 8k
16 = 8k ( divide both sides by 8 )
2 = k
(i)
z² = 2w ← equation of proportion
(ii)
When w = 18, then
z² = 2 × 18 = 36 ( take the square root of both sides )
z = 
= 6
(iii)
When z = 5 , then
5² = 2w
25 = 2w ( divide both sides by 2 )
w = 12.5
