Answer:
1/2 -2
Step-by-step explanation:
The solution of 2x² + x − 4 = 0 is x = ( -1 ± √33 ) / 2.
What is a Quadratic Equation?A quadratic equation is what can be written in the form of ax²+bx+c=0
The equation is,
2x² + x − 4 = 0
To solve the equation, the equation needs to be factorized.
It can be also solved using the formula for determining roots.
x = ( -b ± √ (b² -4ac)) / 2a
Comparing it with the standard equation ax²+bx+c=0.
a = 2, b = 1, c = -4
Substituting the values
x = ( -1 ± √ (1² -4*2*-4)) / 2 * 2
x = ( -1 ± √ (1 + 32)) / 2 * 2
x = ( -1 ± √33 ) / 2
The solution of the given quadratic equation is x = ( -1 ± √33 ) / 2.
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Select the equation that most accurately depicts the word problem. The perimeter of a rectangle is 68 inches. The perimeter equals twice the length of L inches, plus twice the width of 9 inches.
you don't list the options but it should look something like this:
68=2L+2(9)
The minimum wage in 2003 was $5.15. This was w more than the minimum wage in 1996. Write an expression for the minimum wage in 1996.
Solve each inequality and give the solution in interval notation:
what is the answer to qx + x = r
The value of x in the equation qx + x = r can be found by combining like terms and then isolating x. The solution is x = r / (q+1).
Explanation:The equation given is qx + x = r. This equation belongs to the domain of algebra and can be simplified using the principles of solving linear equations. Let's work step-by-step to evaluate the solution to this equation:
First, we can combine like terms on the left side, meaning we can add qx and x together since they are similar terms. By factoring out x, we get x(q + 1) = r. Then, in order to solve for x, we have to divide r by the sum of q + 1. The resulting equation is x = r / (q + 1).That is the solution to the equation.
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If x represents the width of a rectangle and if its length is twice its width how long is the rectangle
If x represents the width of a rectangle and if its length is twice its width then rectangle is 2x long.
What is Area of Rectangle?The area of Rectangle is length times of width.
Given that x represents the width of a rectangle.
Length is twice its width
Length=2width
Length=2x
Length is nothing but how long the rectangle.
As the width of rectangle is x and length is 2x.
The area of rectangle is length times of width
Area of rectangle=Length×Width
=2x×x
=2x²
Hence, x represents the width of a rectangle and if its length is twice its width then rectangle is 2x long.
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Algebra 1: Factoring Polynomials Factor the common factor out of each expression: 40n^4m^2+40n^3m^3-32n^3
Find the equation (in slope-intercept form) of the line with the given slope that passes through the point with the given coordinates. slope: −13−13, ordered pair: (−1,−3)(−1,−3)
What is the simplified form of this expression?
HELP!!! PLZ HELP!!!
The graph above shows 3 enzymes and their activity at different pH levels.
What is the optimal pH for the enzyme Salivary Amylase?
Use evidence from the graph to support your answer.
The optimal pH for Salivary Amylase is 6.9, which supports its maximum activity in the slightly acidic environment of the mouth before the food enters the stomach.
Explanation:The optimal pH for the enzyme Salivary Amylase is 6.9. This optimal pH allows the enzyme to exhibit its maximum catalytic activity. Enzyme activity typically increases with pH up to their optimal point and then decreases with further deviation from this optimum. As enzymes are affected by the environment they are in, Salivary Amylase, which is present in the mouth, functions best at a slightly acidic pH of 6.9, before the food moves to the more acidic environment of the stomach.
The graph shows the activity of different enzymes at different pH levels. To determine the optimal pH for Salivary Amylase, we need to look for the pH value at which the activity is highest for this specific enzyme. From the graph, we can see that the enzyme's activity is highest at pH 7-7.5, which corresponds to its optimal pH. This indicates that Salivary Amylase works most efficiently at a slightly acidic pH.
The optimal pH for the enzyme Salivary Amylase is around 6.9. It breaks down cooked starch into maltose in the mouth, but its activity is deactivated in the stomach.
Explanation:The optimal pH for the enzyme Salivary Amylase is around 6.9, as indicated in the information provided. Salivary amylase is responsible for breaking down cooked starch into maltose in the mouth. However, its activity is deactivated in the stomach due to the presence of hydrochloric acid (HCl) and the activation of pepsinogen to pepsin.
18 tens 20 ones = Hundreds
an object falls d meters in t seconds. what is the independent variable
The sum of the interior angles of a polygon measure 2880°. what is the name of the polygon?
Write an equation that is linear but not standard form
Answer:
what she said is write so use it
Step-by-step explanation:
A linear equation not in standard form can be represented as y = mx + b, where 'm' is the slope and 'b' is the y-intercept. An example is y = 0.5x + 3, which graphs as a straight line with a slope of 0.5 and crossing the y-axis at the point (0, 3).
A linear equation that is not in standard form could be written as y = mx + b. This form is known as the slope-intercept form of a linear equation, where m represents the slope of the line and b represents the y-intercept, the point where the line crosses the y-axis. For example, if we choose a slope of 0.5 and a y-intercept of 3, the equation would be y = 0.5x + 3.
Simplify the expression.
(1/4)^(-3/2)
Please show how to do the problem.
Match each step to its justification to solve 2x+5=19
The steps :
given subtraction property of equality subtract division property of equality divide Further ExplanationOne variable linear equation is an equation that has a variable and the exponent number is one. Can be stated in the form:
[tex]\large{\boxed{\bold{ax=b}}}[/tex]
or
ax + b = c, where a, b, and c are constants, x is a variable
Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one
Can be stated in the form:
[tex]\large{\boxed{\bold{ax+by=c}}}[/tex]
ax + by = c
x, y = variable
There are 2 general steps to solving a linear equation of one variable:
1. add or subtract both segments with the same number so that it is expected that in one segment there are only variable modifiers or constant numbers 2. Change the equation into a simple form so that the coefficient of the variable is 1This can be done by dividing or multiplying by equal numbers
An equation will remain equivalent if both segments are multiplied or divided by the same number
In the equation
2x + 5 = 19
The right steps to complete it according to the images included are:
1. 2x + 5 = 9 ⇒ given 2. both segments are subtracted by the number 52x + 5 -5 = 9-5 ⇒subtraction property of equality
3. 2x = 14 ⇒subtract 4. both segments are divided by 2 so that the coefficient x = 1[tex]{\displaystyle {\frac {2x} {2}}=~\frac{14}{2}[/tex]
⇒division property of equality
5. x = 7 ⇒ divideLearn more
the slope-intercept form of the linear equation
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a graph of a linear equation
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system of linear equations
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Keywords: variable, linear equation
A company sold 160 units in the last quarter of the year. Which of the following graphs represents the company's sales performance?
The question does not provide specific graphs to choose from for the company's sales performance. Nonetheless, a correct graph would show a point at 160 units for the last quarter of the year.
Explanation:Unfortunately, the question as presented does not include any graphs to choose from. Ideally, the correct graph would have the last quarter of the year on the x-axis and the number of units sold on the y-axis. It would display a single point at 160 units for the last quarter. However, without specific graphs to choose from, a more detailed answer cannot be provided.
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The graph which represents the company's sales performance is graph B.
Which of the following graphs represents the company's sales performance?
The last quarter of the year begins October 1st and ends December 31st.
Total units sold by the company in the last quarter of the year = 160 units
Graph 1:
October = 40 units
November = 60 units
December = 40 units
Total = 140 units
Graph 2:
October = 40 units
November = 65 units
December = 55 units
Total = 160 units
Graph 3:
October = 40 units
November = 50 units
December = 50 units
Total = 140 units
Graph 4:
October = 40 units
November = 60 units
December = 50 units
Total = 150 units
Therefore, last quarter of the year in graph B represents the company's sales.
What is another name for plane X?
Plane X in this scenario represents a mathematical concept in statistics. It illustrates the mean number of unoccupied seats from a sample of 225 flights. Therefore, it could also be referred to as 'the mean plane' or 'the plane of unoccupied seats'.
Explanation:In this context, plane X represents a mathematical term commonly used in statistical analysis. It is a hypothetical plane used to denote a statistical value, in this case, the mean number of unoccupied seats from a sample of 225 flights.
So, another name for plane X could be 'the mean plane' or 'the plane of unoccupied seats' to specifically denote the statistical property it represents in this problem. Remember, this is not a physical plane but a concept employed in statistics to help comprehend and visualize data.
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What is the greatest common factor for 200 and 205
The ratio of the number of boy campers to the number of girl campers with 8 to 7. If there were a total of 195 campers, how many boy campers were there? How many girl campers?
One student can paint a wall in 12 minutes. Another student can paint the same wall in 24 minutes. Working together, how long will it take for them to paint the wall?
Answer: 8
Step-by-step explanation:
If, while training for a marathon, you ran 76 miles in 2 2/3 months, how many miles did you run each month? (Assume you ran the same amount each month)
How do I solve this ?
The mass of the sun is 2.13525×1030 kilograms. The mass of Mercury is 3.285×1023 kilograms. How many times greater is the mass of the sun than the mass of Mercury? Drag and drop the values into the boxes to represent the answer in scientific notation.
Answer:
6.5 x 10∧6 is the answer.
Step-by-step explanation:
Which operation should be performed first for calculations involving more than one arithmetic operation?
parentheses
exponents
multiplication
division
In calculations involving more than one arithmetic operation, the order of operations must be followed. The order of operations is PEMDAS: parentheses, exponents, multiplication and division, and addition and subtraction.
In calculations involving more than one arithmetic operation, the order of operations must be followed. The order of operations is PEMDAS, which stands for parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
In addition to this, the operations within the parentheses should be ideally performed first. it must be then followed by exponents, then multiplication and division, and finally addition and subtraction.
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Simplify by collecting like terms: 2x-4-6x+8
The solution of the mathmatical exression by combining like terms,
⇒ - 4x + 4
Given that,
An expression to simplify,
⇒ 2x - 4 - 6x + 8
Now, simplify the mathmatical exression by combining like terms,
⇒ 2x - 4 - 6x + 8
Combine like terms,
⇒ 2x - 6x - 4 + 8
⇒ - 4x + 4
Therefore, the solution of expression is,
⇒ - 4x + 4
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The set of whole numbers is closed under division
True or false
Answer:
true
Step-by-step explanation:
Please help with this problem.
What is algebra? Why does algebra used for?
True or false: it is possible to determine a vector if only one of its components is known.
3 -2 is equivalent to _____.
A -6
B -9
C 1/9
D 1/6
Thanks!