For the equation |2x−10|=−3x, the absolute value cannot be negative, therefore there is no valid solution. Any solution derived would be considered an extraneous solution. Extraneous solutions are those that appear during the solving process but are not valid.
Explanation:The given equation is a mathematical expression |2x−10|=−3x. However, it should be noted that the absolute value of a number cannot be negative, so technically, there is no solution to this equation. This means the equation doesn't have a valid solution, but rather an extraneous solution.
An extraneous solution often arises in the process of solving an equation but is not a true solution. They often appear when you square both sides of an equation, as this often introduces new solutions that weren't part of the original equation.
So, in this case, since the absolute value can not be negative, it is impossible for |2x - 10| to be equal to -3x. Hence, any solution derived from this equation would be considered an extraneous solution.
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How many seconds equal 3.6 hours?
What is the expanded form of 7 x 256
The weight of a stack of different sized books vs. the number of books in the stack. Is it proportional?
Answer:
It is not proportional becuase it has a different rate of change.
Hope this helps too!
Step-by-step explanation:
suppose the block factory has only crates ans stacks . how can it pack an order for 4,270 blocks
To pack an order for 4,270 blocks using crates and stacks, you will need 43 crates and 27 stacks.
Explanation:To pack an order for 4,270 blocks using only crates and stacks, you could use a combination of both. First, determine the number of crates you will need. Since each crate holds 100 blocks, divide 4,270 by 100 to get 42.7. Since you can't have a fraction of a crate, you will need 43 crates.
Next, find out how many blocks are left after packing the crates. Subtract the number of blocks used in the crates (43 crates x 100 blocks) from the total number of blocks (4,270 blocks). You will be left with 4,270 - (43 x 100) = 270 blocks.
Now, you can use stacks to pack the remaining blocks. If each stack can hold 10 blocks, divide 270 by 10 to get 27 stacks. Therefore, you will need 43 crates and 27 stacks to pack an order for 4,270 blocks.
Michael earns a base salary of $100.00 every week with an additional 9% commission on everything he sells. If Michael sold $4950.00 worth of items last week, what was his total pay?
Name the property 3x6x8=8x6x3
Associative or communitive
The height of a triangle is one-third of its base. If the height is 9 ft, what is the area of the triangle?
2− 0.5n=3n+16
Help
The total number of cupcakes Carmen can bake depends on the amount of time she spends baking. Carmen can bake 84 cupcakes in 1.6 h. How many can she bake in 2 h?
Solve the inequality below and then graph the solution set.
1
_ w + 3 < -6
4
find the experimental probability of rolling a 4
Final answer:
The experimental probability of rolling a 4 is calculated by dividing the number of times a 4 is rolled by the total number of rolls. It may not match the theoretical probability exactly in the short term but should converge to approximately 0.1667 as the number of trials increases.
Explanation:
To find the experimental probability of rolling a 4 with a fair six-sided die, we must consider the frequency of the event (rolling a 4) occurring among a number of trials. Since each side of the die has an equal chance of landing face up, each side has a probability of 1/6.
If a die is rolled many times, and the results are recorded, the experimental probability can be calculated as the number of times a 4 occurs divided by the total number of trials. For example, if a die is rolled 120 times and the number 4 comes up 20 times, the experimental probability for rolling a 4 would be 20/120, which simplifies to 1/6. However, since this is experimental probability, the outcome may not always exactly match the theoretical probability due to variations in the short term. Nevertheless, as the number of trials increases, we expect the experimental probability to get closer to the theoretical probability of 1/6 or approximately 0.1667 when rounded to four decimal places.
how to express 1/243 using a negative exponent other than -1
Determine the x- and y-intercepts of the graph of y=1/4x−2 .
Then plot the intercepts to graph the equation.
The x- and y-intercepts are (8, 0) and (0, -2), respectively. and the graph is attached
Graphing the function using the x- and y-interceptsFrom the question, we have the following parameters that can be used in our computation:
y = 1/4x - 2
To find the x-intercept, set y to 0 and solve for x:
0 = 1/4x -2
1/4x = 2
x = 8
So the x-intercept is (8, 0).
To find the y-intercept, set x to 0 and solve for y:
y = 1/4 * 0 - 2
y = -2
So the y-intercept is (0, -2).
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2016 repayment limitation single taxpayer income is at 350% poverty level
What is the value of X?
3 (x - 2) + 5x = 18
What is 8 - 4k = 40
5, -10, 15, -20,... sequence
Laying used 3/8 cup of flour and 1/3 cup of sugar in a recipe which number below is a common denominator for 3/8 and 1/3
A child-size ATV has a gas tank that holds 1.32 gallons of gas. How much will it cost to fill that gas tank if gas costs $2.20 a gallon? Round your answer to the nearest cent. [Ignore tax.]
A line is drawn through (–7, 11) and (8, –9). The equation y – 11 = (x + 7) is written to represent the line. Which equations also represent the line?
Answer:
3y+4x=5
Step-by-step explanation:
step 1
Find the slope
we have
(–7, 11) and (8, –9)
m=(-9-11)/(8+7)
m=-20/15
m=-4/3
step 2
Find the equation of the line into point slope form
we have
m=-4/3
point (-7,11)
substitute
y-11=-(4/3)(x+7) ----> equation of the line into point slope form
Multiply by 3 both sides
3y-33=-4(x+7)
3y-33=-4x-28
3y+4x=33-28
3y+4x=5 -----> equation of the line into standard form
How does the graph of g(x)=⌈x⌉+7 differ from the graph of f(x)=⌈x⌉?
-The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted down 7 units.
-The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted left 7 units.
-The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted up 7 units.
-The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted right 7 units.
The graph of g(x)=⌈x⌉+7 differ from the graph of f(x)=⌈x⌉ as the graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted up 7 units.
Modulus function / Absolute function [x]What is modulus function?A modulus function is a function that determines a number or variable's absolute value. No matter what input was provided to this function, the outcome is always positive.
Solution of function f(x) = [x]Consider different values for x.
Say,
x = -1; f(-1) = [-1] = 1
x = 1; f(1) = [1] = 1
For any value of the x, the value of the function will be positive only.
The graph is attached in the image.
Solution of function f(x) = [x] + 7Consider different values for x.
Say,
x = 0; f(0) = [0] + 7 = 0 + 7; f(0) = 7
x = -1; f(-1) = [-1] + 7 = 1 + 7; f(-1) = 8
x = 1; f(1) = [1] = 1 + 7; f(1) = 8
For any value of the x, the value of the function will be positive only, but it would be 7 units shifted up on the y axis.
The graph is attached in the image.
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1. Refer to Expression 1 and Expression 2.
Expression 1 6 ⋅ 7- 3/2⋅9+4/3
Expression 2 5+4⋅2+6-2⋅2-1
(a) What is the value of Expression 1?
(b) Insert parentheses in Expression 2 so that it has a value of 19. Then show why your expression has a value of 19.
Answer:
a) Expression 1 = 29.833
b) (5+4) * 2 + 6 -2 * 2 - 1
Step-by-step explanation:
In expression 1 we have to know that the order to solve operations is:
First parenthesis, then multiplication and division and then addition and subtraction.
So we have the expression:
6*7-3/2*9+4/3
We first solve multiplications and divisions:
42-1.5*9+1.34
42-13.5+1.34 = 29.84
b) The parenthesis is the operation that goes first so if we insert the parenthesis in 5+4 we will get the next result:
(5+4) * 2 + 6 - 2 * 2 - 1
We have to solve parenthesis first, then multiplication and division and then addition and subtraction:
(9) * 2 + 6 - 4 - 1
18+6-4-1 = 19
We get the number 19.
Wilson goes hiking every 9 days and swimming every 6 days .He did both of the kind of exercise today how many days from now will you go both hiking and swimming again LCM
students collected 600 cans for the canned food drive that was 80% of their goal how many more cans do they need to collect to reach their goal
Answer: 150
Step-by-step explanation:
Let x be the total number of cans that was students' goal.
Given : Students collected 600 cans for the canned food drive that was 80% of their goal .
We can write 80% as 0.80
Then, we have
[tex]0.80x=600\\\\\Rightarrow\ x=\dfrac{600}{0.80}=750[/tex]
Thus, The students' goal of collecting cans for the canned food drive = 750 cans
Now, the number of food cans required to collect to reach the goal= 750-600=150
Dean needs 6060 inches of wood to build a rectangular picture frame. The length ll of the frame is twice its width ww. Three of these equations give the correct value for ww. Which equation does NOT?
What's the sum of all the integers between √3 and √89 ?
can some one help me a little hard for me
Why have all the rates of change in this assignment been negative? Explain.
The problems have involved going down a waterslide.
To model a slide, you start at the highest point and then decrease as you move down the slide.
The rate of change has compared a drop or decrease in vertical height to an increase in either time or horizontal distance.
The rates of change is negative because the assignment involved the model of a waterslide with a downward slope.
Negative Rate of ChangeA negative rate of change would occur if the output decreases as the input increases, and vice versa.
For a model slide, the highest point is plotted first, and going down the waterslide shows a negative slope.
Therefore, the rates of change is negative because the assignment involved the model of a waterslide with a downward slope.
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I need help on number 6.
How do you know whether an estimate of a product is an overestimate or an underestimate? Explain Please.