There are 32 black fish in the tank
Step-by-step explanation:
Nanci has a large fish tank that contains fish
The ratio of orange fish to black fish is 5 : 8Nanci has a total of 20 orange fishWe need to find how many black fish in the tank
∵ The ratio between the orange fish to the black fish is 5 : 8
∵ She has 20 orange fish
By using the ratio method
→ orange : black
→ 5 : 8
→ 20 : x
By using cross multiplication
∵ 5 × x = 20 × 8
∴ 5 x = 160
- Divide both sides by 5
∴ x = 32
∵ x represents the number of the black fish
∴ The number of the black fish is 32
There are 32 black fish in the tank
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Find the solution(s) to the system of equations represented in the graph. They intersect at 0, negative 4 and 4, 0 (0, 4) and (4, 0) (0, 4) and (−4, 0) (0, −4) and (4, 0) (0, −4) and (−4, 0)
Answer
(0,-4) and (4,0).
Step-by-step explanation:
The solutions of a system of equation from a graph is where the graphs intersect.
From the question, you mentioned that the graphs intersect at (0,-4) and (4,0).
Therefore the solutions to the system are (0,-4) and (4,0).
Probably, you might have a straight line and a quadratic graph interesting or two quadratic graphs.
Two vertices of a right triangle have coordinates (9, 1) and (6, -1).
Select each ordered pair that could be the coordinates of the third vertex.
(6,9)
(6, 1)
(1, -1)
(9, -1)
Answer:
(6,1), (9,-1)
Step-by-step explanation:
In points (6,1) and (9,-1) a right angle can be formed.
The dimensions of a portable kennel can be expressed as width x, length x + 0.4, and height x − 0.2? What are the dimensions of a portable kennel with a volume of 7.4 ft3? Use a graphing calculator to solve. Round the dimensions to the nearest tenth.
Answer:
[tex]L=2.3\ ft\\W=1.9\ ft\\H=1.7\ ft[/tex]
Step-by-step explanation:
we know that
The volume of a portable kennel (rectangular prism) is equal to
[tex]V=LWH[/tex]
where
[tex]L=(x+0.4)\ ft\\W=x\ ft\\H=(x-0.2)\ ft[/tex]
[tex]V=7.4\ ft^3[/tex]
substitute the given values in the formula of volume
[tex]7.4=(x+0.4)(x)(x-0.2)[/tex]
Apply distributive property right side
[tex]7.4=x(x^2-0.2x+0.4x-0.08)[/tex]
[tex]7.4=x(x^2+0.2x-0.08)[/tex]
[tex]7.4=x^3+0.2x^2-0.08x[/tex]
[tex]x^3+0.2x^2-0.08x-7.4=0[/tex]
Solve the cubic equation by graphing
using a graphing tool
The solution is x=1.9
see the attached figure
Find the dimensions
substitute the value of x
[tex]L=(1.9+0.4)=2.3\ ft\\W=1.9\ ft\\H=(1.9-0.2)=1.7\ ft[/tex]
A boy is 8 years older than his brother four years from now the boy will be twice as old as his brother how old is each boy
Answer:32
Step-by-step explanation:
8 times 4
Answer:
Boy: 12 Brother: 6
Step-by-step explanation:
If a boy was 8 years old and in 4 years from the boy was twice is brothers age you would first have to add 4 to the 8 to get how many years old the boy was (8+4=12)
When you get these answer, you would have to divide bye 2 bceause the boy was twice his age and therefore, we would find out how many years old the brother was
(12/2=6)
Write the absolute value function as a piecewise function. y=6∣x−3∣
Answer:
Step-by-step explanation: y=6 x - 3
(6 X x) - (6 x 3)
6x - 18
-12
The absolute value function y = 6 |x - 3| can be written as a piecewise function. For x < 3, y = 6 * (3 - x) and for x >= 3, y = 6 * (x - 3). This takes into account the always-positive relationship of the absolute value function.
Explanation:The absolute value function y = 6 |x - 3| can be written as a piecewise function as follows:
if x < 3 then y = 6 * (3 - x)if x ≥ 3 then y = 6 * (x - 3)This is because the absolute value function defines a relationship where distance is always positive. For values of x less than 3, the expression within the absolute value brackets is negative, so we have to change the sign. For values of x greater than or equal to 3, the expression is already positive, so it stays as it is.
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Evaluate g(x) = 5x + 7 for x = 9
Answer:
g(9) = 52
Step-by-step explanation:
Step 1: Identify the function
g(x) = 5x + 7 is the function
Step 2: Set x to 9 in the function
g(9) = 5(9) + 7
Step 3: Multiply
g(9) = 45 + 7
Step 4: Add
g(9) = 52
Answer: g(9) = 52
find all of the points of the form (x −1) which are 4 unit from the point (3,2)
Answer:
[tex](3+2\sqrt{2},2+2\sqrt{2}),(3-2\sqrt{2},2-2\sqrt{2})[/tex]
Step-by-step explanation:
[tex]Points\ are\ of\ the\ form\ (x,x-1)\\\\Distance\ of\ these\ points\ from\ (3,2)=4\\\\\sqrt{(x-3)^2+(x-3)^2}=4\\\\\sqrt{(x-3)^2+(x-1-2)^2}=4\\\\\sqrt{2(x-3)^2}=4\\\\2(x-3)^2=16\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ square\ both\ the\ sides\\\\(x-3)^2=\frac{16}{2}\\\\(x-3)^2=8\\\\(x-3)=\pm 2\sqrt{2}\ \ \ \ \ \ \ \ \ \ \ square\ root\ both\ the\ sides\\\\x=3\pm 2\sqrt{2}\\\\When\ x=3+2\sqrt{2}\ \ \Rightarrow x-1=3+2\sqrt{2}-1=2+2\sqrt{2}\\\\When\ x=3-2\sqrt{2}\ \ \Rightarrow x-1=3-2\sqrt{2}-1=2-2\sqrt{2}[/tex]
complete the square x^2-6x+__= -13+__
Answer:
Step-by-step explanation:
x^2 - 6x + __ = -13 + __
take half of the coefficient in ur x term, square it, and add it to both sides
so take half of -6.....which is -3......and square it....-3^2 = 9. Now add 9 to both sides.
x^2 - 6x + 9 = -13 + 9
(x - 3)^2 = - 4
To complete the square for the equation x^2-6x+__= -13+__, add the square of half the coefficient of x to both sides. The completed square equation is (x-3)^2 = -4.
Explanation:The student is asking how to complete the square for the equation x^2-6x+__= -13+__. Completing the square is a method used in Mathematics to solve quadratic equations, reorganize expressions, and is important for calculus. Here are the steps to solve this:
First, we take half of the coefficient of x, which is -6, square it, and add it to both sides of the equation. This gives us (x^2-6x+9) = -13+9. Simplify the left side into (x-3)^2. The right side simplifies to -4. This gives us the completed square equation: (x-3)^2 = -4.Learn more about Completing the Square here:
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A basketball player made 17 out of 20 free throws at practice. What percent of the free throws did the player miss?
Answer:
The correct answer is 85%.
If a basketball player made 17 out of 20 free throws at practice then 85% of the free throws did the player miss.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that a basketball player made 17 out of 20 free throws at practice
We need to find the percent of the free throws did the player miss.
We find this by finding the product of x/100 with 20 which is equal to 17.
x/100 × 20=17
Now we have to find the value of x which is the percentage.
2x/10=17
0.2x=17
Divide both sides by 0.2
x=17/0.2
x=85%
Hence, if a basketball player made 17 out of 20 free throws at practice then 85% of the free throws did the player miss.
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Which is the definition of the root qua- (from the word quadrilateral)?
Option 1. one
Option 2. two
Option 3. three
Option 4. four
Answer the answer is 4
Step-by-step explanation:
Easy way means four
what ordered pair is a solution of this equation 3x-7y=28
help
put it in slope intercet form then take the number before the x and the number after the x and put them into an ordered pair.
Sandra bought 3 pounds of sweet potatoes for $4.71. What is the cost per pound of the sweet potatoes?
You estimate that there are 66 cars in a parking lot. The actual number of cars is 75
.a. Find the percent error.
b.What other estimate gives the same percent error? Explain your reasoning
A. The percent error is 12%.
B. If you were to count 84 cars when there were only 75 it would also have the same percent error.
Step-by-step explanation:
Step 1; From the given data I measured the number of cars lower than its actual count. I counted the number of cars as 66 while it was 75. So my measurement was off by 9 counts. My percent error is given by dividing the difference in values by the actual value multiplied by 100.
% error = (difference in values / actual value) × 100
My % error = (75 - 66)/ 75 × 100 = 9/75 × 100 = 12%.
Step 2; My percent error was 13.6363%. I counted the cars lower then there were so to find another similar estimate I just add the percent error to the actual number of cars.
Similar % error = Actual value + 12% = 75 + 12% = 75 + 9 = 84 cars.
Final answer:
To calculate the percent error, use the formula (|Estimated Value - Actual Value| / Actual Value) x 100%. For an estimate of 66 compared to an actual value of 75, the percent error is 12%. An estimate of 84 cars would also produce a 12% percent error because it shares the same distance from the actual value as the original estimate, just in the opposite direction.
Explanation:
The question asks to find the percent error of an estimation and to determine another estimate with the same percent error. To calculate percent error, you use the formula: Percent Error = (|Estimated Value - Actual Value| / Actual Value) × 100%. Applying the given values, we get: Percent Error = (|66 - 75| / 75) × 100% = (9 / 75) × 100% = 12%.
To find another estimate with the same percent error, we can manipulate the percent error formula. Let x represent the new estimate. Thus, 12% = (|x - 75| / 75) × 100%. Solving for x gives two solutions: x = 66 (the given estimate) or x = 84. This means an estimate of 84 cars would also result in a 12% percent error, because it is 9 units away from the actual value, similar to the original estimate.
The reasoning is based on the symmetrical property of the absolute value function used in the percent error calculation, which indicates that the error margin above and below the actual value are equivalent.
The profit a hamburger vendor earned, in dollars, is proportional to the number of hamburgers sold. This equation represents the proportional relationship between the profit earned and number of hamburgers sold. 2p = 3H
Answer:
The hamburger earns $ 1.50 for each hamburger he sells
Correct statement and question:
The profit a hamburger vendor earned, in dollars, is proportional to the number of hamburgers sold. This equation represents the proportional relationship between the profit earned and number of hamburgers sold.
2p = 3H.
Enter the profit, in dollars, earned for each hamburger sold.
Source:
Previous question that can be found at brainly
Step-by-step explanation:
Let's find the value of p, profit earned when H = 1:
2p = 3H
2p = 3 * 1
2p = 3
p = 3/2
p = 1.5
The hamburger earns $ 1.50 for each hamburger he sells
Which expression is equivalent to StartRoot 200 EndRoot?
2 StartRoot 10 EndRoot
10 StartRoot 2 EndRoot
10 StartRoot 20 EndRoot
100 StartRoot 2 EndRoot
Answer:
b) √200 = 10√2
Step-by-step explanation:
Here, the given expression is: √200
Simplifying the given expression, we get:
200 = 2 x 2 x 2 x 5 x 5
⇒ 200 = (2)² x (5) ² x 2
Taking ROOT both sides, we get:[tex]\sqrt{200} = \sqrt{(2)^{2} \times (5)^{2} \times 2}\\\implies \sqrt{200} = \sqrt{(2)^{2} } \times \sqrt{(5)^{2} } \times \sqrt{(2) } = 2 \times 5 \times \sqrt{2}\\ = 10 \sqrt {2}\\\implies \sqrt{200} = 10 \sqrt {2}[/tex]
Hence, √200 = 10√2
Answer:
B is the answer
Step-by-step explanation:
B for e2020
5. Mrs. Neri works part time at an electronics store. She is paid a weekly salary plus a
commission based on her total sales. The table shows her total sales and her total pay
for the last two weeks.
Week/1
Total Sales
/ $500
to
Total Pay
$425
Week/2
Total sales
$350
Total pay 395
Based on the data in the table, which equation represents Samantha's total pay, y, as
a function of her total sales, x?
A) y = 0.6x + 125
B) y = 0.2% + 325
C) y = 1.6% -95
Answer:
The equation that represents Samantha's total pay as a function of her total sales is B. y = 0.2x + 325
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Total Sales Total Pay
Week 1 $ 500 $ 425
Week 2 $ 350 $ 395
2. Let's find out the equation that represents Samantha's total pay as
a function of her total sales, this way:
Week 1:
A) y = 0.6x + 125 = 0.6 * 500 + 125 = 300 + 125 = 425 Correct
B) y = 0.2x + 325 = 0.2 * 500 + 325 = 100 + 325 = 425 Correct
C) y = 1.6x - 95 = 1.6 * 500 - 95 = 800 - 95 = 705 Incorrect
Week 2:
A) y = 0.6x + 125 = 0.6 * 350 + 125 = 210 + 125 = 335 Incorrect
B) y = 0.2x + 325 = 0.2 * 350 + 325 = 70 + 325 = 395 Correct
C) y = 1.6x -95 = 1.6 * 350 - 95 = 560 - 95 = 465 Incorrect
The equation that represents Samantha's total pay as a function of her total sales is B. y = 0.2x + 325
NEED HELP Solve.
y=2x-6
4x-2y=14
Answer:
No solution
Step-by-step explanation:
Replace occurrences of y in 4x - 2y = 14 with 2x - 6
y = 2x - 6
4x - 2 (2x - 6) = 14
Simplify left side
y = 2x - 6
12 = 14
Since 12 is not equals to 14, There is no solution
A rectangle has a area of 1/6 square centimeters and a length of 1.5 centimeters. What is the width? What is the perimeter?
Answer:
Step-by-step explanation:
width is 9 and the perimiter is 21
Plz help ASAP!!!
What is the correlation coefficient between the variables? Round to three decimal places. Enter your answer in the box.
Items purchased: 40, 29, 108, 35, 62, 50, 8
Bags used: 6, 5, 11, 7, 14, 10, 2
r ≈ ____
The correlation coefficient between the given variables is determined as 0.771 (three decimal places).
Correlation coefficient between the variablesThe correlation coefficient between the variables is calculated as follows;
[tex]r = \frac{n\Sigma xy - \Sigma x\Sigma y}{\sqrt{[n\Sigma x ^2 \ - (\Sigma x)^2][n\Sigma y^2- (\Sigma y)^2]} }[/tex]
∑xy = (40 x 6) + (29 x 5) + (108 x 11) + (35 x 7) + (62 x 14) + (50 x 10) + (8 x 2)
∑xy = 3202
n∑xy = 7(3202)
n∑xy = 22,414
∑x = 40 + 29 + 108 + 35 + 62 + 50 + 8 = 332
∑y = 6 + 5 + 11 + 7 + 14 + 10 + 2 = 55
∑x∑y = 332 x 55 = 18,260
∑x² = 40² + 29² + 108² + 35² + 62² + 50² + 8² = 21,738
n∑x² = 7(21,738) = 152,166
(∑x)² = (332)² = 110,224
∑y² = 6² + 5² + 11² + 7² + 14² + 10² + 2² = 531
n∑y² = 7(531) = 3,717
(∑y)² = (55)² = 3,025
Correlation coefficient[tex]r = \frac{22,414-18,260}{\sqrt{(152,166-110,224) (3,717 - 3025)} } \\\\r = \frac{4154}{\sqrt{29,023,864} } \\\\r = 0.771[/tex]
Thus, the correlation coefficient between the given variables is determined as 0.771 (three decimal places).
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125% of e is 30. What is e?
125% of e is 30 means then the value of e is 24.
Step-by-step explanation:
By simplifying the given statement we can write it as[tex]\frac{125}{100}[/tex] [tex]\times e = 30[/tex]
So to find the e, we should keep e on one side the take the remaining terms on the other side. So after rearranging, we can obtain the equation e = [tex]\frac{30\times100}{125}[/tex]So now canceling the favorable terms we can get 24.The unknown number e from the given question is 24
How to find percentage125% of e is 30
125 / 100 × e = 30
1.25e = 30
divide both sides by 1.25e = 30 / 1.25
e = 24
Therefore, the unknown number e from the given question is 24
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a pilot is flying at 10,000 feet and wants to take the plane up to 20,000 feet over the next 50 miles. what should be his angle of elevation to the nearest
The angle of elevation is 2.17°
Step-by-step explanation:
First change value in miles to value in feet
1 mile =5280 ft
50 miles = 5280*50 =264000 ft
Apply the formula for tangent of an angle where the opposite side is 10,000 ft and the adjacent side is 264000 ft
Tan Ф = O/A
= 10,000/264000
=0.03787878787
Tan ⁻(0.03787878787) = 2.17°
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Need help with simplifying this question
[tex]{3}^{ - 3} [/tex]
hope this helps :)
Yo sup??
[tex](3^6)^-^1^/^2\\=3^6^*^(^-^1^/^2^)\\=3^(^-^3^)\\[/tex]
Therefore your answer is option A ie
A.3^(-3)
Hope this helps.
Manuela works as a security guard. She makes $15 per hour. Her employers deduct $125 from her weekly check to cover insurance and takes. If Manuela receives at least $205 in her weekly paycheck, what is the feast number of hours she works in a week
Answer:
At least 22 hours in a week.
Step-by-step explanation:
Given: Manuela make $15 per hour.
Her employers deduct $125 from her weekly check.
Manuela receives at least $205 in her weekly paycheck.
Lets assume, Manuela working hour in a week be "x".
We know, Total amount on week paycheck= [tex]Hourly\ pay\times number\ of\ hours- Deduction[/tex]
Now, forming an inequality to determine weekly pay of Manuela.
⇒ [tex]15\times x- 125\geq 205[/tex]
⇒[tex]15x-125\geq 205[/tex]
Adding both side by 125
⇒[tex]15x\geq 205+125[/tex]
⇒[tex]15x\geq 330[/tex]
Divinding both side by 15
⇒[tex]x\geq \frac{330}{15}[/tex]
∴[tex]x \geq 22\ hours[/tex]
Hence, Manuela works at least 22 hours per week.
solve the following system of equations
-2x+y=1
-4x+y=-1
Answer:
x = 1
y =
Step-by-step explanation:
-2x + y=1
-4x + y=-1
-2 (2) x + (2) y = (2) 1 (multilply by 2)
-4x + y=- 1
-4x + 2y = 2
-4x + y = -1
minus side by
y = 3
x =
Answer:
(1, 3).
Step-by-step explanation:
-2x + y = 1
-4x + y = -1 Subtract :
-2x - (-4x) = 1 - (-1)
-2x + 4x = 2
2x = 2
x = 1.
Substitute x = 1 in the first equation:
-2(1) + y = 1
-2 + y = 1
y = 1 + 2
y = 3.
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The box plots show the weights, in pounds, of the dogs in two different animal shelters.
Which is true of the data in the box plots? Select three choices.
The median weight for shelter A is greater than that for shelter B.
The median weight for shelter B is greater than that for shelter A.
The data for shelter A are a symmetric data set.
The data for shelter B are a symmetric data set.
The interquartile range of shelter A is greater than the interquartile range of shelter B.
Answer:
The median weight for shelter A is greater than that for shelter B.Step-by-step explanation:
In statistics, a box plot is a graphic method to display the quartiles of a distribution, where the line inside the body refers to the median.
So, in this case, you can observe that the median of shelter A is 21, and the median of shelter B is 18. That means the median of shelter A is greater than the median of shelter B.
Therefore, the right answer is first choice:
The median weight for shelter A is greater than that for shelter B.Box plot shows 5 description of the data set it is representing. The true statements for the given data sets' box plots are:
The data for shelter A are a symmetric data set.The interquartile range of shelter A is greater than the interquartile range of shelter B.How does a boxplot shows the data points?A box plot has 5 data description.
The leftmost whisker shows the minimum value in the data.The rightmost whisker shows the maximum value in the data.The leftmost line in the box shows the first quartile.The middle line shows the median, also called second quartile.The last line of the box shows the third quartile.How to find the interquartile range?IQR(inter quartile range) is the difference between third and first quartile.
For the given data set, we see that the middle line of first graph is right to the middle line of the lower graph, thus, Median of B < Median of A (18 < 22) (since as we go right, the magnitude of numbers increases)
Data is symmetric if the median is in the mid of the box plot and the box is mid to the line connecting both whiskers(since then the frequencies are more likely to be distributed symmetric to the middle).
Thus, B is symmetric but A isn't
IQR of A = Q3 - Q1 = 28 - 17 = 11IQR of B = Q3 - Q1 = 20 - 16 = 4Thus, IQR A > IQR B (here Q3 is third quartile and Q1 is first quartile).
Thus, the correct statements for the given box plots is:
The data for shelter A are a symmetric data set.The interquartile range of shelter A is greater than the interquartile range of shelter B.Learn more about box plot here:
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find the slope of the line that contains the points named A(3,2) B(7,8)
Answer:
Step-by-step explanation:
slope=y₂-y₁/x₂-x₁
[tex]\frac{8-2}{7-3}=\frac{6}{4}\\\\=\frac{3}{2}[/tex]
Area of 4.24 3 3
In a triangle
Answer:
4.5
Step-by-step explanation:
We can use heron's formula in this case:
let perimeter/2 be represented by [tex]p\\[/tex]
let [tex]a, b, c[/tex] represent each side length
[tex]p=\frac{ 4.24+3+3}{2} = 5.12[/tex]
Heron's formula is as follows:
[tex]Area=\sqrt{p(p-a)(p-b)(p-c)}[/tex]
Plug your numbers into the formula!
[tex]Area = \sqrt{5.12(5.12-4.24)(5.12-3)(5.12-3)}=\sqrt{5.12(0.88)(2.12)(2.12)}[/tex]
=[tex]4.5[/tex]
Which associations best describe the scatter plot?
Select each correct answer.
linear association
positive association
negative association
nonlinear association
Answer:
all the above conclude in a scatter plott does it have linear relation was it a positive or negative and it could be a random scatter plot so nonlinear association
The associations that best describe the scatter plot are: C. Negative association A. linear association
What are the Positive and Negative Associations on a Scatter Plot?On a scatter plot, if one variable increases or decreases as the other increases or decreases, it shows a positive association.
On the other hand, if one variable increases as the other decreases, it is a negative association.
Also, if the points are along a straight line, the association is linear.
Thus, in the scatter plot given, as time increases, distance decreases.
Therefore, the associations that best describe the scatter plot are: C. negative association A. linear association
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The area of a floor in square yards is one-ninth the area of the floor in square feet. Write the equation representing y, the area in square yards , to f , the area in square feet
Answer:
y = x²
f = (3x)²
Step-by-step explanation:
y = x²
f = (3x)²
check: y = 1/9 f
The required equation is [tex]y=\dfrac{1}{9}f[/tex].
Important information:
Area of a floor in square yards is one-ninth the area of the floor in square feet.We need to write an equation for the given situation.
Proportional Equation:Let [tex]y[/tex] be the area in square yards and [tex]f[/tex] be the area in square feet.
Area of a floor in square yards is one-ninth the area of the floor in square feet.
[tex]y=\dfrac{1}{9}f[/tex]
Thus, the required equation is [tex]y=\dfrac{1}{9}f[/tex].
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2x - 3 greater than equal to 5
PLEASE EXPLAIN IT ;)
Answer:
x≥4
Step-by-step explanation:
We want to solve for x in
[tex]2x - 3 \geqslant 5[/tex]
Let us add 3 to both sides:
[tex]2x - 3 + 3\geqslant 5 + 3[/tex]
We simplify to get:
[tex]2x\geqslant 8[/tex]
Divide through by 2 to get:
[tex]x \geqslant 4[/tex]
Answer:
The equation means for all values of x [tex]\geq[/tex]4 this equation 2x-3[tex]\geq[/tex] 5 is true
Step-by-step explanation:
To explain
[tex]2x-3\geq 5[/tex]
let us solve this inequality and find the value of x
[tex]2x-3\geq 5\\2x\geq 5+3\\2x\geq 8\\x\geq (\frac{8}{2} )\\x\geq 4[/tex]
As
x [tex]\geq[/tex] 4
So
The equation means for all values of x [tex]\geq[/tex]4 this equation 2x-3[tex]\geq[/tex] 5 is true
Keywords: Algebra
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