Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Please solve all the questions for me
![1. When pr – 32r? – 10r +r is divided by (r – 2), the remainder is exactly the same as when it is
divided by (2 +3). Find the value of p
2. If A is a 2 x 3 matrix, and B is a 3 x 4 matrix, how many columns does AB have?
7x + 14]"
3. What value of x satisfies the matrix equation
3x – 2 5
+8
vl m
d x A= j g
4. If
then size of matrix A =
wr
5. Given that A =
3
and B =
find the possible value of x such that AB = BA
6. What is the equation of a line that passes through the point (-1, -3) and has gradient of -2
7. Solve the equation r+x – (r – 1)(r – 2)(r – 3) = 12
8. Given that A=
2
and B =
2 -4
A +B will be
-14 -w?"
2k
-81
9. Find the values of the variables
3
-3 3
10. Find the zeros of the polynomial r – 2.r² – 5x + 6
11. If a and 3 are the roots of the quadratic 3r2 – 4r + 6 = 0, find the value of (1+!)
.(후)
-2A? will be
4
12. For matrix A =
-1
13. The lines y = 5x – 3 and y = 2x +9 intersect at P. What are the coordinates of P
14. Find the value of each of a,b,c so that 6r – 7r – r+2 = (r – 1)(ar? + br +c)
:- y 4
+
10
3
-4
2
15. Solve for x and y in the matrix equation below:
4
-8
2 6r -9
3
-3 3r 0
16. Find the value of k if (r + 2) is a factor of r + 4r? +r + k
3
17. What is the distance between the origin and the point (4, 3, 3)
18. If A is a symmetric matrix, then AT =
19. Given that log, (N) = 8, then log, () =
20. If 92m-n - ! and 73m-2n = 49, the values of m and n are
Use the following to answer questions 21 and 22.
2
If X =
-2
and Y =
-3
3
21. Find 3|X| + 12
22. Find 2|Y| +|X|
23. A matrix which has an inverse is classified as
24. Find the value of x if log:(r + 2) = 2
25. Let A =
-3
1
B =
6
What is B+A?
2 10
-4 0-7
26. If r + 9r +5 is divided by x, then remainder is
27. Find the value of x in the equation 2 log3 - log (r+ 2) = 0
3 of
28. What is a, if A =
is a singular matrix ?
29. Simplify (1+x)(1+1)(1 – r +x?) in descending order](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F364de058-88d0-4d56-8666-25405a8692d7%2F98074230-3ba7-4705-9a69-bb9b23c9d1b1%2Fg33t_processed.jpeg&w=3840&q=75)
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