Can someone please explain to me why when you try to solve this quadratic equation, it's not possible? There is a picture of the question and an explanation, but I don't understand what it means. Please help with full working/explanation. Thanks so much :)
Answers
it is coz when u solve for a quadratic equation the number inside the square root has to be positive,
for example, the square root of positive 16 is 4
which means 4^2 is positive 16
but there is no number that is being squared and gives -16
coz -4^2 or -4*-4 is positive 16, which means negative times negative is positive. I hope it has helped you:)
Related Questions
The eggs of a certain insect hatched after heavy rain. The population of these insects can be modeled by the expression 192 times (2)^x-5.
Answers
Answer:
someone answer this pls
Step-by-step explanation:
In the diagram, what is the ratio of patterned circles to plain circles?
A.
5 : 7
B.
2 : 5
C.
5 : 12
D.
5 : 9
Answers
Answer:
5:7
Step-by-step explanation:
just got 5/5
Ordered Pairs REMEMBER! There is only 1 output(y) for each input(x). Is this a function or not? (8,-3) , (3,8) , (9,4) , (-2,2)
Answers
answer:
a function
step-by-step explanation:
hello there!
as you said, there is only able one output ( y ) for each input ( x ) for it able to become a function
here is a little example of a "table" to help me explain this a little better for you!
input ( x ) | output ( y)
8 | -3
3 | 8
9 | 4
-2 | 2
since none the inputs have more then one output then that means it is a function
hope this helps you and please let me know if i had made a mistake in the problem, have a wonderful day!! :D
You have been asked to evaluate the cost-to-cost trade-offs for the following situation:
Diesel fuel cost of $8.64 per gallon
Distance to be covered =720 miles
Miles per gallon at 90mph=8
Miles per gallon at 83mph=10
Cost of delay due to the slower mph=$630
Based on the cost-to-cost trade-off calculations, the company should choose the ______ (a. 83/ b. 90) mph speed at a total cost (including any delay costs, where applicable) of $_____. (Enter your response hearest dollar.)
Answers
Based on the cost-to-cost trade-off calculations, the company should choose the 83 mph speed, resulting in a total cost of $764.
To evaluate the cost-to-cost trade-offs, we need to consider the fuel cost and the cost of delay due to slower mph. The distance to be covered is 720 miles. At a speed of 90 mph, the fuel efficiency is 8 miles per gallon, and at 83 mph, it is 10 miles per gallon. The diesel fuel cost is $8.64 per gallon, and the cost of delay due to slower mph is $630.
To calculate the total cost for each speed, we divide the distance by the miles per gallon to determine the number of gallons needed. Then, we multiply the number of gallons by the fuel cost per gallon and add the cost of delay, if applicable.
For 90 mph: Total fuel cost = (720 miles / 8 miles per gallon) * $8.64 per gallon = $777.60.
For 83 mph: Total fuel cost = (720 miles / 10 miles per gallon) * $8.64 per gallon = $622.08.
Adding the cost of delay for 83 mph: Total cost = $622.08 + $630 = $1252.08.
Therefore, choosing the 83 mph speed results in a total cost of $764, which is lower than the total cost of $1252.08 for the 90 mph speed. Thus, the company should choose the 83 mph speed according to the cost-to-cost trade-off calculations.
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In the figure, all, and both lines are intersected by transversal & Complete the statements to prove that m≤1 = m25.
allo (given)
m1+m3=180° (Linear Pair Theorem)
m5+ m6=180° (Linear Pair Theorem)
m1+m3= 5+ 6()
m3=m6()
m1 m5 (Subtraction Property of Equality)
Answers
First blank: Substitution or transitive property of equality
Second blank: Subtraction property of equality
is 6^p > 0, then p > 0. Is this statement true, sometimes true, or not true?
Answers
Answer:
true
Step-by-step explanation:
is -14.76 rational or irrational
Answers
Answer:
rational
Step-by-step explanation:
cause it can be shown as a divition of real numbers
Multiply. √3 ⋅ √5 ⋅ √7 Enter your answer, in radical form, in the box.
Answers
Answer: square 105
Step-by-step explanation: Confirming answer
A radical expression is an expression containing a square root, mostly a square root.
The value of √3.√5.√7 in radical form is √105.
What is a radical expression?A radical expression is an expression containing a square root, mostly a square root.
We have,
√3.√5.√7
We can multiply the numbers together.
= √(3 x 5 x 7 )
= √(15 x 7)
= √105
Thus the value of √3.√5.√7 in radical form is √105.
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Two joggers set out at the same time from their homes 21 miles apart. They agree to meet at a point somewhere in
between in an hour and a half. If the rate of one is 2 mph faster than the rate of the other, find the rate of each
Answers
The two joggers who are 21 miles apart travel at a speed 8 mph and 6 mph respectively and would meet after one and half hours.
What is an equation?An equation is an expression used to show the relationship between two or more variables and numbers.
Let a represent the speed of the faster jogger and represent the speed of the other jogger. Hence:
a = b + 2 (1)
Also:
In one and half hour (1.5 h):
a = d₁/1.5
d₁ = 1.5a
b = d₂/1.5
d₂ = 1.5b
d₁+ d₂ = 21
1.5a + 1.5b = 21 (2)
From both equation 1 and 2:
a = 8, b = 6
The speed of the joggers is 8 mph and 6 mph respectively.
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Find the value of the expression 0.01y^4 if: y=−2
Answers
Answer:
-0.16
Step-by-step explanation:
0.01 × y⁴
Put y as -2 and solve.
0.01 × -2⁴
Solve the exponent.
0.01 × -16
Multiply.
= -0.16
Answer:
0.16
Step-by-step explanation:
First substitute in the y value so that the equation becomes 0.01*-2^4. Because of PEMDAS, we do exponent first and the equation becomes 0.01*16. We then perform this multiplication and get to 0.16
The temperature in Bloomington on Sunday was 32.6°C. On Monday, the temperature changed by -8.25°C. What was the temperature on Monday?
A.-40.85°C
B.-24.35°C
C.24.35°C
D.42.25°C
Answers
Sara and Tristan want to
collect data to find out what
games should be played at
the elementary school's field
day. Describe a group that
they could survey to collect
quality data.
Answers
To collect quality data, Sara and Tristan could survey a group of individuals who have relevant knowledge and experience like Elementary school students, Teachers and school staff, Physical education teachers, Parents, Alumni or older students.
To collect quality data on what games should be played at the elementary school's field day, Sara and Tristan could survey a group of individuals who have relevant knowledge and experience. Here are some potential groups they could consider surveying
The primary audience for the field day event is the students themselves. Surveying elementary school students would provide valuable insights into their preferences, interests, and favorite games. They can distribute surveys or conduct interviews tailored to the age group to gather their input effectively.
The teachers and school staff members have a good understanding of the students' abilities, interests, and the games that have been successful in previous field day events. They can provide valuable insights based on their experience and observations.
Surveying parents of elementary school students can provide additional perspectives and insights. Parents often accompany their children to field day events and might have valuable input on games that have been enjoyable or successful in the past.
Consulting with the school's physical education teachers can be beneficial. They have expertise in designing activities and games suitable for elementary school students and can offer valuable recommendations based on their professional experience.
Surveying alumni or older students who have previously participated in field day events at the elementary school can provide insights based on their past experiences. They can share their favorite games and activities that they enjoyed during their time at the school.
When surveying any of these groups, it is important for Sara and Tristan to ensure a representative sample by including a diverse range of participants. This can be achieved by selecting participants from different grade levels, backgrounds, and interests. Additionally, using a mix of survey methods such as online surveys, paper-based surveys, or in-person interviews can help gather a more comprehensive range of responses.
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The population of a country is growing at a rate proportional to its population. If the growth rate per year is 4% of the current population, how long will it take for the population to double
Answers
It will take approximately 17.3 years for the population to double if the growth rate per year is 4% of the current population.
The population of a country growing at a rate proportional to its population is modeled by the exponential growth equation:
P(t) = P0 e^(rt)
Where P(t) is the population after time t, P0 is the initial population, r is the growth rate, and e is the mathematical constant approximately equal to 2.71828.
In this case, the growth rate per year is 4% of the current population, so r = 0.04. We want to find how long it will take for the population to double, which means we want to find t such that P(t) = 2P0.
Substituting into our equation, we get:
2P0 = P0 e^(0.04t)
Dividing both sides by P0 and taking the natural logarithm of both sides, we get:
ln(2) = 0.04t
Solving for t, we get:
t = ln(2)/0.04
≈ 17.3 years
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which of the following statements must be true, given that ΔABC≅ΔXYZ, and the measure of ∠C is 32°
Answers
\(\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}\)
Given,
ΔABC ≅ ΔXYZ
If these 2 triangles are congruent with each other then,
∠ A = ∠ X \(\boxed{\bf{Corresponding \ parts \ of \ congruent \ triangles}}\)
∠ B = ∠ Y \(\boxed{\bf{Corresponding \ parts \ of \ congruent \ triangles}}\)
∠ C = ∠ Z \(\boxed{\bf{Corresponding \ parts \ of \ congruent \ triangles}}\)
Now,
We saw that ∠ C = ∠ Z.
⟹ So, if ∠ C = 32°, then even ∠ Z will be equal to 32°. \(\boxed{\sf{Equal \ angles \ have \ equal \ measurements}}\)
ᶛɲƧཡэʀ ↦ C. m ∠X = 32°
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
Suppose the following expression is given: P(X5=3|X4=3,X3=3,X2=1,X1=4, X0=1). a) Write down the "realization" of the stochastic process implied by the above expression, and explain what it means.
Answers
The given information that X0=1, X1=4, X2=1, X3=3, and X4=3 further restricts the possible values that X5 can take.
The realization of the stochastic process implies that the values of the stochastic process are observed at particular points in time. It is denoted by x(t) and takes the form of a function of time t.
If the process is discrete, then the function is a sequence of values at discrete points in time.
A stochastic process is one that evolves over time and the outcomes are uncertain.
The given expression P(X5=3|X4=3,X3=3,X2=1,X1=4, X0=1) gives the probability of X5 being equal to 3 given that X4 is equal to 3, X3 is equal to 3, X2 is equal to 1, X1 is equal to 4, and X0 is equal to 1.
To understand the above expression, suppose we have a stochastic process with values X0, X1, X2, X3, X4, and X5.
The given expression provides the conditional probability of the value of X5 being equal to 3 given that X0, X1, X2, X3, and X4 take specific values.
The given information that X0=1, X1=4, X2=1, X3=3, and X4=3 further restricts the possible values that X5 can take.
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What is the PHP function we used to send an SQL query to a MySQL database, and how would you describe the general form of the return value of this function
Answers
The PHP function commonly used to send an SQL query to a MySQL database is "mysqli_query()." The general form of the return value of this function is a result object, which represents the outcome of the query execution.
In PHP, the "mysqli_query()" function is commonly used to send SQL queries to a MySQL database. It takes two parameters: the first parameter is the database connection object, and the second parameter is the SQL query string. When the "mysqli_query()" function is executed, it sends the SQL query to the MySQL database for execution. The function returns a result object, which represents the outcome of the query execution.
The specific contents of the result object depend on the type of query executed. For SELECT queries, the result object contains the retrieved data from the database, which can be fetched using other functions like "mysqli_fetch_assoc()" or "mysqli_fetch_array()." For INSERT, UPDATE, DELETE, or other types of queries, the result object typically indicates the success or failure of the query execution.
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What is a concave hexagon with 2 pairs of congruent sides?
Answers
A concave hexagon with 2 pairs of congruent sides is a shape that has six sides and two pairs of sides that are of equal length, but the shape curves inward at one or more angles, creating a concave indentation.
A hexagon is a six-sided polygon, and when two pairs of its sides are congruent,
it means that four of its sides have the same length, if the shape curves inward at one or more angles,
it creates a concave hexagon, which means that the indentation on the shape is facing inward, rather than outward, a concave hexagon with 2 pairs of congruent sides is a six-sided polygon with four sides of equal length, but with a curvature that creates an inward indentation.
Hence, a concave hexagon with 2 pairs of congruent sides is a six-sided figure with an indentation and two sets of sides with equal lengths.
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Select all the expressions that have a value of 7,193.
A: 38,977-31,884
B: 39,616-32,323
C: 42,014-34,821
D: 50,000-42,807
E: 78,792-71,699
Answers
The correct answers are, C and D
What is the first step Anika made from the original equation.
Answers
Answer:
She factored out a 4 from the equation.
Step-by-step explanation:
So our original equation is 12x + 4 = 20x - 12
Anika's first steep of her equation is 3x + 1 = 5x - 3
We know that the terms were not moved around, so the first step was likely multiplication or division.
We also see that a 4 has been factored out of the entire equation, like this:
12x + 4 = 20x - 12
4(3x + 4) = 4(5x - 3)
And these 4's cancel each other out.
So, I conclude that Anika's first step was dividing the entire equation by 4 or factoring out a 4 from the equation.
Does the equation 600 ÷ 120 = 5 represent this tape diagram? Explain your reasoning.
Answers
You buy $2. 75$ pounds of pistachios and $2$ pounds of cashews. Do you pay more for the pistachios or for the cashews?
Answers
Answer:
pistachios
Step-by-step explanation:
you pay more for the pistachios because $2.75 is greater than $2
i kinda understand it ... im just not sure i have the right answer :( this is soo stressful can anyone help ?
Answers
=======================================================
Explanation:
The angles shown are alternate exterior angles. They are exterior of the parallel lines (ie outside the parallel lines) and they alternate on either side of the diagonal transversal cut.
If those alternate exterior angles are congruent, then lines L and M are parallel.
2x-3 = x+4
2x-x = 4+3
x = 7
Answer:
x = 7
Step-by-step explanation:
2x - 3 and x + 4 are alternate exterior angles with same measure
2x - 3 = x + 4
2x - x = 4 + 3
x = 7
Give an equivalent DFA (ii) Give a minimal DFA equivalent to constructed above (iii) Give a regular expression using the above minimal DFA (iv) Give an equivalent grammar represented by the above minimal DFA
Answers
An equivalent DFA can be constructed.
A minimal DFA equivalent to the constructed DFA can be obtained.
A regular expression can be derived using the minimal DFA.
An equivalent grammar represented by the minimal DFA can be provided.
To create an equivalent DFA, we can start with the given language or regular expression and use the subset construction algorithm to convert it into a DFA. This algorithm involves creating states that represent the subsets of the original language's states.
Once the DFA is constructed, we can minimize it using algorithms such as the Hopcroft's algorithm or the Moore's algorithm. These algorithms identify equivalent states and merge them to create a minimal DFA. The resulting DFA will have the fewest number of states possible while still accepting the same language.
Using the minimal DFA, we can derive a regular expression that represents the same language. This can be done by applying the Arden's theorem or by using other techniques such as state elimination or state reduction.
An equivalent grammar can be represented by the minimal DFA by using the DFA to guide the construction of production rules. Each state in the DFA corresponds to a non-terminal symbol in the grammar, and the transitions between states represent the production rules. The start state of the DFA corresponds to the start symbol of the grammar, and the accepting states of the DFA correspond to the terminal symbols or productions that generate the desired language.
By performing these steps, we can establish different representations of the given language, including an equivalent DFA, a minimal DFA, a regular expression, and an equivalent grammar.
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The area of each square is 16 square units. Find the perimeter of the figure. (see imagine attached) :)
Answers
Answer:
48
Step-by-step explanation:
If the area of each square is 16, then each side length has side length of 4 because the area of a square is:
\(s^2=A\)
\(s^2=16\\s=4\)
Each of the outer edges has 4+4+4 and there are four of them so:
\((4+4+4)*4=48\)
If 3/4 the way though the game Sam had 21 points, how many points would he expect to have for a full game? points
Answers
Answer:
I'm guessing 28
Step-by-step explanation:
because 3/4 of 21 is 28
2x+5<3x+4 solve inequality
Answers
Suppose that in a school with 150 total students, there are 10 students who have the flu. Administrators take an
SRS of 20 students to test for the flu. Let X = the number of students in the sample who test positive for the
flu.
Is X a binomial variable? Why or why not?
Answers
Answer:
The trials are not independent, so
X is not a binomial variable.
Step-by-step explanation:
The variable X is not a binomial variable. The reason for this is X is not independent.
What is a binomial variable?A binomial variable is a variable that determines the frequency that an event would happen in a fixed number of trials.
The conditions for a binomial variable include:
The observation fall into either a success or failure category with an equal chance of happening.There are a fixed number of observationsThe observations are independent.To learn more about binomial random variable, please check: https://brainly.com/question/25469830
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Find the largest six digits number which is divisible by 120 exactly.
Answers
Answer:
999,960
Step-by-step explanation:
let x be a multiple of 120
120x ≤ 999,999
999,999 / 120 = 8333.325
8333 ≤ x ≤ 8334
8333(120) = 999,960
8334(1200) = 1,000,080 this is a 7-digit number
Therefore, the largest 6-digit number that is exactly divisible by 120 is 999,960
1. Which equation represents a line that is perpendicular to the line represented by 2x - y =7
Answers
The equation that represents a line that is perpendicular to the line represented by 2x - y = 7 is y = -1/2x + 6
Equation of a lineThe equation of a line in slope-intercept form is expressed as;
y = mx + b
where;
m is the slope
b is the y-intercept
For two lines to be perpendicular, the product of their slope must be -1
Given the equation 2x - y =7
Rewrite
y = 2x - 7
The slope of the line is 2, the slope of the line perpendicular must be -1/2. Hence from the given option, the equation that represents a line that is perpendicular to the line represented by 2x - y = 7 is y = -1/2x + 6
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Write an inequality and show on a number line all numbers: from (–3) to 2 exclusives.
Answers
Answer:
The inequality is -3 < x < 2
The number line is included
Step-by-step explanation:
To express the numbers as an inequality, we have for exclusive numbers the form, [-3, 2] which gives;
-3 < x < 2
We note that an exclusive number (or larger than and lesser than inequality) is represented by an empty in the numbers excluded (for strict equality)
Therefore, we draw a number line with empty circles at number points -3, and 2 as follows;
-4 -3 -2 -1 0 2 1 2 3 4 5
