Which of the following is the value of x in the equation below
x= -4/3 or x=2
x= -1 or x=2
x =-2 or x= 1
x= -3/2 or x= 1/2
Correct Answer : A
we find the value of x by applying the absolute conditions to the given equation.
First, add 2 to both sides of equation
Add 10 to both sides of the equation
Next, we apply the absolute rule:
If u=a, a>0, then u=a or u=-a
In this case a=5, which is greater 0.
The first condition becomes
Solving for x
The second condition becomes
Solving for x
Then, the value of x is -4/3 or 2.
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Related Questions
Correct Answer is D
Explanation
Given the equation F(z)=9z+28
To find the value of F(z), we need to vary the value of z. In this case, z is the independent variable while F(z) is what we measure, which is the dependent variable.
Correct Answer is A
Explanation
To determine the correct coordinates of the point shown on the graph, follow these steps:
- Identify the x-coordinate: Count the number of units the point is to the right or left of the y-axis. The point is at 5 on the x-axis.
- Identify the y-coordinate: Count the number of units the point is above or below the x-axis. The point is at -8 on the y-axis.
- The correct coordinates are (5, -8).
Looking at the answer choices:
- A. (5, -8) → Correct
- B. (-5, 8) → Incorrect
- C. (-8, 5) → Incorrect
- D. (8, -5) → Incorrect
Final Answer:
A. (5, -8)
Correct Answer is A
Explanation
To estimate the total amount, round each price to the nearest dollar:
- Hat: $19.49 → $19 (since 0.49 rounds down)
- Shirt: $21.49 → $21 (since 0.49 rounds down)
- Shoes: $59.99 → $60 (since 0.99 rounds up)
Now, add the rounded values:
19+21+60=10019 + 21 + 60 = 10019+21+60=100
Correct Answer is A
Explanation
percentages are fractions with denominator equal to 100. To get the decimal form of the percent given, e divide the value by 100.
The decimal form of 58.7% is 0.587.
Correct Answer is A
Explanation
The perimeter of a shape is the sum of the lengths of all its sides.
Given Trapezoid:
- Top side: 10 cm
- Bottom side: 16 cm
- Left slant side: 5 cm
- Right slant side: 5 cm
Calculate the Perimeter:
10+16+5+5=36cm
Correct Answer is D
Explanation
To round 24.375 kg to the nearest tenth (0.1 place), follow these steps:
- Identify the tenth place in 24.375:
- Tenth place: 3 (24.375)
- Hundredths place: 7 (the next digit after the hundredths place)
- Apply rounding rules:
- If the hundredths place is 5 or greater, round up the tenth place.
- Since 7 is in the hundredths place, round 24.3 up to 24.4.
Correct Answer is C
Explanation
The weight of the knife could be appropriately expressed in grams. Since a knife is a small object, we do not expect to measure its weight in kilograms. Liter and milliliter are units of measuring the volume of objects.
Correct Answer is B
Explanation
A dependent variable changes with any change made in an independent variable. From this case, cost of meals depends on other three options. In other words, the quantity of meal, number of toppings, and types of spices influence the cost of the meal.
Correct Answer is B
Explanation
To determine the number of sophomore students, follow these steps:
- Identify the total number of students:
1,276
- Identify the percentage of sophomores:
29%
- Calculate the number of sophomores:
(29%×1,276) = (29/100× 1,276) = 370.04
- Round to the nearest whole number:
370
Correct Answer is B
Explanation
The scatter plot showing the relationship between the number of absences in a semester and students’ final exam scores. The trend shows that as absences increase, exam scores decrease.
This represents a Negative Correlation because:
- When one variable (absences) increases, the other variable (exam score) decreases.
- The points on the scatter plot trend downward from left to right.
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