ExitExam+ESSLCE Support
Open in Telegram
The aim of this channel is to offer educational resources and tutorials to assist students.
Show moreThe country is not specifiedEducation42 110
4 101
Subscribers
No data24 hours
-157 days
-10130 days
Posts Archive
📌ESSLCE 2014 Mathematics for Social Science
✅Problem: What is the solution set of the exponential equation 3^{x-x^2}=1/9?
📝Solution
First, simplify the right-hand side of the equation by writing 1/9 as a power of 3:
1/9 = 3^{-2}
Substituting this into the original equation, we get:
3^{x-x^2} = 3^{-2}
📚Recall the property of exponents that states "if two exponential expressions with the same base are equal, then their exponents must be equal as well".
a^m = a^n if and only if m = n
Using this property, we can set the exponents in our equation equal to each other:
x - x^2 = -2
Rearrange the equation to get a quadratic equation in its standard form:
x^2 - x - 2 = 0
We can solve this quadratic equation by factoring or using the quadratic formula. Factoring, we get:
(x - 2)(x + 1) = 0
So the solutions are x = 2 and x = -1.
Check if these solutions are valid by plugging them back into the original equation.
👉Checking x = 2:
3^{2-2^2} = 3^{-2} = 1/9 (true)
👉Checking x = -1:
3^{-1-(-1)^2} = 3^{-2} = 1/9 (true)
Therefore, the solution set to the equation 3^{x-x^2}=1/9 is {-1, 2}.
📚Word Problem 📌#Mathematics #ESSLCE
✅Problem
The sum of three consecutive odd numbers is 69. What are the numbers?
📝Solution
Let's assume that the first odd number is x. Then, the next two consecutive odd numbers would be x+2 and x+4.
According to the problem, the sum of these three consecutive odd numbers is 69. So, we can have an equation:
x + (x+2) + (x+4) = 69
Simplifying the left-hand side, we get:
3x + 6 = 69
Subtracting 6 from both sides, we get:
3x = 63
Dividing both sides by 3, we get:
x = 21
So, the first odd number is 21. The next two consecutive odd numbers are:
x+2 = 21+2 = 23
x+4 = 21+4 = 25
Therefore, the three consecutive odd numbers are 21, 23, and 25.
👉Join, Share 👇👇👇
https://t.me/tutorialpointeth
📚#Geometry Word Problem. #Mathematics #ESSLCE
✅ Problem
👉A rectangular garden has a length that is 4 meters more than its width, and if the area the garden is 60 square meters. What are the dimensions of the garden?
📝Solution: Let's assume that the width of the rectangular garden is w meters. Then, according to the problem, the length of the garden is 4 meters more than its width, which means the length is (w+4) meters.
The area of a rectangle is given by the formula:
Area = length x width
So, the area of the garden is:
60 = (w+4) x w
Simplifying the right-hand side, we get:
60 = w^2 + 4w
Rearranging the terms, we get:
w^2 + 4w - 60 = 0
Which is quadratic equation that can be solved by factoring or using the quadratic formula or by completingthesquaremethod. Let's use factoring, find two numbers whose product is-60 and whose sum is 4 (that are: -6, and 10). Thus,
w^2 + 4w - 60 = 0
(w + 10)(w - 6) = 0
So, either w + 10 = 0 or w - 6 = 0. Solving for w in each case, we get:
w = -10 or w = 6
Since the width of the garden cannot be negative, we can discard the solution w = -10. Therefore, the width of the garden is w = 6 meters.
Now, by the length formula, we can find the length of the garden:
Length = width + 4
Length = 6 + 4
Length = 10 meters
So, the dimensions of the garden are 6 meters by 10 meters.
Join, Share 👇👇👇
https://t.me/tutorialpointeth
[ESSLCE🇪🇹Preparations MCQs]
9️⃣ Which of the following is the solution to the absolute value inequality |4 - 2x| < 10?
[ESSLCE🇪🇹 Preparations MCQs]
8️⃣Which of the following is the solution to the absolute value equation |3x + 2| = 8?
[ESSLCE🇪🇹preparation MCQs]
6️⃣ What is the solution to the equation log₃(x) - log₃(x - 2) = 1?
[#ESSLCE🇪🇹Preparations MCQs]
7️⃣Which of the following equations is correct?
[#ESSLCE🇪🇹PREPARATION MCQs]
5️⃣Which of the following is the solution to the equation log₂(x + 3) = 2?
[#ESSLCE 🇪🇹Preparation MCQs]
4️⃣What is the solution to the logarithm equation log₃(x) - log₃(x - 2) = 1?
[#ESSLCE 🇪🇹Preparation MCQs]
3️⃣What is the solution to the exponential equation 9^(2x-1) = 1/81?
[#ESSLCE 🇪🇹 Preparations MCQs]
2️⃣What is the solution to the exponential equation 2^(3x-1) = 1/16?
[#ESSLCE🇪🇹Preparation MCQs]
1️⃣What is the solution to the exponential equation 2^(x+1) = 16?
📝Plant 🪴 Physiology 📝 #ExitExam Preparation 💪Help.
✅Photosynthesis is the process by which green plants and some other organisms use sunlight to synthesize foods with the help of chlorophyll pigment. During photosynthesis, plants absorb light energy from the sun and use it to convert carbon dioxide and water into glucose and oxygen. This process takes place in the chloroplasts of plant cells and is essential for the survival of plants and other organisms that depend on them for food.
✅Respiration is the process by which organisms convert glucose and oxygen into energy
✅Transpiration is the process by which plants lose water vapor through their leaves.
✅Germination is the process by which a seed begins to grow into a new plant.
📚📌📌📌📌📌📚
👉Join, Share 👇👇👇
https://t.me/tutorialpointeth
📝Plant 🪴 Physiology 📝 #ExitExam Preparation 💪Help
✅The primary mechanism by which water moves from the roots to the leaves in plants is the cohesion-tension theory. The cohesion-tension theory explains how water is transported through the xylem tissue in plants. According to this theory, water is pulled up through the xylem from the roots to the leaves by a combination of two forces: cohesion and tension. Cohesion refers to the attraction between water molecules, which allows them to stick together and form a continuous column of water in the xylem. Tension refers to the negative pressure that is created at the top of the column of water as it evaporates from the leaves. This negative pressure pulls more water up from the roots to replace the water that has been lost through transpiration. Active transport, osmosis, and capillary action are not the primary mechanisms by which water moves from the roots to the leaves in plants.
📚📌📌📌📌📌📚
👉Join, Share 👇👇👇
https://t.me/tutorialpointeth
[Plant Physiology 🪴 Practice MCQs]
6️⃣ The process by which plants convert light energy into chemical energy in the form of glucose is called:
[🇪🇹Plant Physiology 🪴 Practice MCQs]
5️⃣Which of the following is the primary mechanism by which water moves from the roots to the leaves in plants?
[Plant Physiology🪴Practice MCQs]
4️⃣Which of the following plant pigments is responsible for the red, orange, and yellow colors in leaves during autumn?
[Plant🪴 Physiology 🪴Practice MCQs]
The process by which plants lose water vapor through small openings on their leaves is called:
[🪴Plant Physiology 🪴 Practice MCQs]
2️⃣Which of the following is the primary pigment involved in photosynthesis?
[🪴 Plant Physiology🪴Practice MCQs]
1️⃣ Which of the following is responsible for the movement of water and minerals from the roots to the leaves in plants?
