Answer:
Step-by-step explanation:
Given
m cups of water = p cups of rice
Required
Cups of water required for p + 2 cups of rice
<em>The question shows a direct proportion between cups of rice and cups of water.</em>
<em>So, the first step is to get the proportionality constant (k)</em>
<em />
This is calculated using the following expression;
Where k represents cups of water and p represents cups of rice
Make k the subject of formula
Let x represents cups of water when cups of rice becomes p + 2;
k becomes:
Equate both expressions of k; to give
Multiply both sides by p + 2
<em>Hence, the expression that represents the cups of water needed is </em><em></em>
Answer:
x = 4, y = 3
Step-by-step explanation:
Equating corresponding coordinates , gives
2x = 8 ( divide both sides by 2 )
x = 4
and
3y = 9 ( divide both sides by 3 )
y = 3
Answer:
A) x = 3 or -1
B) x = -7
C)x = -7
Step-by-step explanation:
A) x² + 2x + 1 = 2x² - 2
Rearranging, we have;
2x² - x² - 2x - 2 - 1 = 0
x² - 2x - 3 = 0
Using quadratic formula, we have;
x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)
x = (2 ± √16)/2
x = (2 + 4)/2 or (2 - 4)/2
x = 6/2 or -2/2
x = 3 or -1
B) ((x + 2)/3) - 2/15 = (x - 2)/5
Multiply through by 15 to get;
5(x + 2) - 2 = 3(x - 2)
5x + 10 - 2 = 3x - 6
5x - 3x = -6 - 10 + 2
2x = -14
x = -14/2
x = -7
C) log(2x + 3) = 2log x
From log derivations, 2 log x is same as log x²
Thus;
log(2x + 3) = logx²
Log will cancel out to give;
2x + 3 = x²
x² - 2x - 3 = 0
Using quadratic formula, we have;
x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)
x = (2 ± √16)/2
x = (2 + 4)/2 or (2 - 4)/2
x = 6/2 or -2/2
x = 3 or -1
Answer:18.9 miles
1 inch=5.4
3.5 inches =3.5×5.4
=18.9miles
hope this helps
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The answer is yes.
Plug 4 in for the value of n so you have 4+8 is less than it equal to 13. And since 12 is less than 13 it is true, and a solution to the inequality.
