Answer:
Step-by-step explanation:
1) The given inequality is
Arranging the terms with p² and p, we get
Hence, the inequality is of the form
Ap² + Bp + c < 0
2. A quadratic equation of the form
Ap² + Bp + c < 0 with A > 0 looks like
<u>Check the attached image</u>
The region where the values are negative lies between p₁ and p₂ ...
The p₁ < p < p₂
The x - intercept is 
and y - intercept is (0, 5)
<h3><u>Solution:</u></h3>
Given that : 3x + y = 5
<em><u>To find: x - intercept and y -intercept</u></em>
The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.
To find the x intercept using the equation of the line, plug in 0 for the y variable and solve for x
3x + 0 = 5
3x = 5
Therefore the x - intercept is
To find the y intercept using the equation of the line, plug in 0 for the x variable and solve for y
3(0) + y = 5
y = 5
Therefore y - intercept is (0, 5)
Answer:
When Amina is 18. Saad would be;
k. 14
Step-by-step explanation:
Let "x" represent Anita's current age and let "y" represent Saad's current age, we have;
Anita's age = 2 × Saad's age
Therefore;
x = 2 × y...(1)
In 4 years, we will get;
x + 4 = 1.5 × (y + 4)...(2)
Substituting the value of x in equation (1) into equation (2), we get;
2·y + 4 = 1.5·y + 1.5 × 4 = 1.5·y + 6
2·y + 4 = 1.5·y + 6
2·y - 1.5·y = 6 - 4 = 2
0.5·y = 2
y = 2/0.5 = 4
Saad's current age = y = 4 years
From equation (1), we have;
x = 2 × y = 2 × 4 = 8
Amina's current age = x = 8 years
When Amina is 18, we have;
18 = 10 + 8 = 10 + x
Therefore, Amina would be 18 in 10 years time from now, from which we have;
Saad would be 10 years + y = 10 years + 4 years = 14 years in 10 years from now
Therefore, when Amina would be 18 years in 10 years from now Saad would be 14 years.
LCM between 10 and 19 is 190.
First we can find the prime factorization of 10:
2 * 5.
Prime factorization of 19:
19.
2 * 5 * 19 = 190
Answer:
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