The solutions to the given equation are -5/2 and -3. These answer can get after using quadratic formula.
How can find solution using quadratic formula ?The quadratic formula is a formula that offers a quadratic equation's solution. In addition to the quadratic formula, other methods of solving quadratic equations include factoring, completing the square, graphing, and others.
In the literature, there are numerous ways to derive the quadratic formula. The common one uses the completing the square method in a straightforward manner.
The given equation is :
-11x = 2x² +15
Move terms to the left side
-11x -(2x^2 +15) =0
Rearrange terms
-2x^2 - 11x -15 = 0
Common factor
-(2x^2+ 11x +15) =0
Divide both sides by the same factor
2x^2 +11x +15 =0
Use the quadratic formula
x = -11 ± √11² - 4 * 2*15/2*2
x =-11±1/4
Solve
x = -5/2
x= -3
The value of x will be -5/2 or -3.
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help!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
5/6 is closest to 1 and 2/5 is closest to 1/2 so the difference is closest to 1/2.
Which answer is correct?
(A)4x + y = 6
−2x + y = −5
(B)x + y = 8
2x − 9y = 4
(C)x − 4y = −6
−2x − y = 5
(D) −x + y = 9
9x + 2y = 4
The graph shown has two straight lines and the correct equation is
(A) 4x + y = 6−2x + y = −5What is linear function?A linear function consists of functions where the variables has exponents of 1.
The graph of linear functions is a straight line graph and the relationship is expressed in the form.
y = mx + c
y = output variable
m = slope
x = input variable
c = y intercept
interpretation of the equations
4x + y = 6 ⇒ y = -4x + 6
m = -4
c = 6
from the graph only one the lines has the y intercept as 6, also the slope is negative. the line shown by at option (c) the intercept is 6/4 and the slope is positive
−2x + y = −5 ⇒ y = 2x - 5
m = 2x
c = -5
The c is not showing here but it is moving towards negative. the x intercept is showing and we can use it to confirm
y = 2x - 5
0 = 2x - 5
2x = 5
x = 2.5
this coincides with the point on the graph (2.5, 0)
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which of the following sampling approaches first divides the population into subgroups based on one or more variables of interest? group of answer choices simple statistical sampling systematic random sampling stratified random sampling systematic density sampling
The type of sampling is stratified random sampling
Given that,
The population is first divided into subgroups based on one or more important variables. this sampling is nothing but stratified random sampling
What Is Stratified Random Sampling?
A crucial element of the sampling method known as stratified random sampling is the division of a population into smaller subgroups known as strata. Strata are established in stratified random sampling, also known as stratification, based on the shared characteristics or attributes of the participants, such as wealth or level of education. Examining life expectancy and population demographics is just one of the many benefits and uses of stratified random sampling. Other names for stratified random sampling are proportional or quota random sampling..
Hence, this sampling is stratified random sampling
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Find a description this equation represents. Of the numbers 1, 2, 3, 4, and 5, which are solutions to the equation?
4x+6=18
A. If you add four to six times a number, you get 18.
B. Four more than six times a number is 18.
C. If you add six to four times a number, you get 18.
D. Six more than four times a number is 18.
E. Six less than four times a number is 18.
F. Four less than six times a number is 18.
G. If you add six times a number to four, you get 18.
H. If you subtract six from four times a number, you get 18.
Solve:
2000(2000^2000)
(A) 2000^2001
(B) 4000^2000
(C) 2000^4000
(D) 4,000,000^2000
(E) 2000^4,000,000
PLEASE ANSWER ASAP!!!
Answer:
They all come out to be infinity
a group of five friends goes to the state fair. each friend pays the entrance fee and buys one booklet of ride tickets and a meal ticket. the entrance fee is d dollars. a booklet of ride tickets costs 2.5 times the entrance fee. a meal ticket costs $4 less than the entrance fee.
Answer: What do you need the total or the equation? I am going to write the equation.
Step-by-Step Solution: (5)(d)+(5)(d)(2.5)+ (5)(d)-4
heidi's scores on her first 3 tests were 92, 95, and 86. what is the minimum score she mulst earn on her next test to maintain at least a 90 average
The inequality that needs to be solved is:
3t +270/ 6 ≥ 90.
let we consider that Heidi has 6 subjects in her school.
Therefore, She needs to average at least 90 on her three remaining tests to have at least a 90 overall average for all 6 tests.
Now,
To obtain an average first add up all the scores of the tests and then divide by the number of tests.
So far Heidi has taken 3 tests and we know the total number of tests will be 6 so we will be dividing by 6 to get the average of all the score.
If we let each of the three remaining tests each be represent by t, then the sum of all the tests would be:
95 + 92 + 86 + t + t + t
or
273 + 3t
The average of these 6 tests can then be represented by:
3t + 273 / 6
And for her average to be at least 90 then she can get a 90 or more which is the same as ≥ 90
So the inequality that needs to be solved is:
[tex]\frac{3t + 273}{6}[/tex] ≥ 90
or, [tex]\frac{3 ( t + 91)}{6} \geq 90[/tex]
or, [tex]\frac{t + 91}{2} \geq 90[/tex]
Now, Heidi has to score :
t/2 ≥ 91
or, t/2 ≥ 90
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Delilah has assets that total $56,326 and liabilities that total $32,129. What is her net worth?
The net worth of Delilah given the assets and liabilities will be $24197.
How to calculate the net worth?From the information given, Delilah has assets that total $56,326 and liabilities that total $32,129.
It should be noted that the formula to calculate the net worth will be:
= Assets - Liabilities
= $56,326 - $32,129
= $24197
The net worth is $24197.
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Can anyone write the equation of this graph?
The equation of the graph in the figure is f(x) = |x - 3| + 5
How to find the equation of the graph line?Given that the graph is an absolute value graph
We start by calculating the vertex of the graph
In this case, the graph has it minimum point located at the coordinate (3, 5)
This coordinate can then be interpreted as
(h, k) = (3, 5)
As a general rule, the general representation of the equation of an absolute value function is f(x) = |x - h| + k
Substitute the known values in the above equation
So, we have the following equation
f(x) = |x - 3| + 5
Hence, the equation of the graph is f(x) = |x - 3| + 5
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the sample regression line a. is estimated by the population regression line. b. maximizes the sum of the squared differences between the data points in a sample and the sample regression line. c. shows the actual (or true) relation between the dependent and independent variables. d. is used to estimate the population regression line. e. connects the data points in a sample.
The simple regression line is used to estimate the population regression line.
We are asked about, the simple regression line
We have options:
a. is estimated by the population regression line.
b. maximizes the sum of the squared differences between the data points in a sample and the sample regression line.
c. shows the actual (or true) relation between the dependent and independent variables.
d. is used to estimate the population regression line.
e. connects the data points in a sample.
From the above options, Option (d) is the correct one i.e. is used to estimate the population regression line.
The simple regression line is used to estimate the population regression line.
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Which property justifies "Step 4"
Which property justifies "Step 4" in the proof below?
a. )45= m_B
b.) m B = 45
3) Substitution
4)?
The property justified by step 4 is after substitution in the equation you get the desired result.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the data in the question,
In step 3 substitution of value is taking place.
In step 4 when values are substituted the final result is obtained, so step 4 is the result step.
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pasagot po nito
(A) 4, 9, 14, 19, 24, …
Give the next two terms:
Give an expression for the nth term:
Find the 30th term:
(B) 8, 10, 12, 14, 16, …
Give the next two terms:
Give an expression for the nth term:
Find the 30th term:
(C) 1, 8, 15, 22, 29, …
Give the next two terms:
Give an expression for the nth term:
Find the 20th term:
For each of the arithmetic sequences, we have that:
a)
The next two terms are 29 and 34.The expression for the nth term is of: [tex]a_n = 4 + 5(n - 1)[/tex].The 30th term is: 149.b)
The next two terms are 18 and 20.The expression for the nth term is of: [tex]a_n = 8 + 2(n - 1)[/tex].The 30th term is: 66.c)
The next two terms are 36 and 43.The expression for the nth term is of: [tex]a_n = 1 + 7(n - 1)[/tex].The 20th term is: 134.What is an arithmetic sequence?An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.
The nth term of an arithmetic sequence is given by the following rule:
[tex]a_n = a_1 + (n - 1)d[/tex]
In which [tex]a_1[/tex] is the first term of the sequence.
For the sequences in this problem, we have that:
The first terms are, respectively, 4, 8 and 1.The common ratios are, respectively, 5, 2 and 7.Then the general rule is applied to find the nth term of the sequence, while the next two terms are found adding the common ratio.
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scores on a standard iq test for people aged 20 to 34 are normally distributed with mean 110 and standard deviation 25. what is the probability that a randomly selected young adult will score between 85 and 160 on this iq test? round your answer to four decimal places.
The probability that a young adult chosen at random will achieve an IQ between 85 and 160 is 0.8185.
The problem states that;
A typical IQ test result for individuals between the ages of 20 and 34 has a mean of 110 and a standard deviation of 25, and the values are regularly distributed.
To get the probability that a randomly selected young adult will score between 85 and 160 on this IQ test.
Let,
P(85 < x < 160) = P[ (85 - 110)/ 25) < (x - μ) / σ < (160 - 110) / 25) ]
= P(-1 < z < 2)
= P(z < 2) - P(z < -1)
= 0.9772 - 0.1587
= 0.8185
Therefore, the probability that a randomly selected young adult will score between 85 and 160 on this IQ test is 0.8185.
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the prices of used car tires is a normally distributed variable with a mean of $50 and variance of $100. what is the probability that the price of a used car tire will be less than $65?
The probability that the price of the used car is less than $65 is 0.55962.
Here it is given that the price of the used car has a mean of $50 and a variance of $100.
Since it follows normal distribution X~N(μ, σ²)
where,
μ = 50
σ = 100
Here we need to find the probability P(X < 65)
To find this we need to convert the distribution to the standard normal form, N~(0, 1)
We know,
P(X < (x - μ)/ σ) = Φ(Z)
Therefore we get
P(X < (65 - 50)/ 100)
Solving this we get the Z value
= Φ(0.15)
From the Z table, we can get our p-value.
= 0.55962
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Ms. Rumble's history class conducted interviews with their grandparents for a class project. The grandparents older than 89 years old knew that Amelia Earhart was the first woman to fly solo across the Atlantic Ocean.
Determine the graph to represent this scenario.
number line with open circle on the number 89 and line shaded to the right
number line with closed circle on the number 89 and line shaded to the right
number line with closed circle on the number 89 and line shaded to the left
number line with open circle on the number 89 and line shaded to the left
A graph to represent this scenario is number line with open circle on the number 89 and line shaded to the right
The rules for writing an inequality.In Mathematics, the following rules are generally used for writing and interpreting an inequality on a number line:
The circle on a number line should be shaded (closed) when the inequality symbol is (≥ or ≤).When the arrow points to the left on a number line, the inequality is either (≤ or <).The circle on a number line should not be shaded (open) when the inequality symbol is (> or <).When the arrow points to the right on a number line, the inequality is either (≥ or >).Let the age of the grandparents be x. Therefore, an inequality which represents the situation described above is given by:
x > 89
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Find the domain and range og tje ff. Rational function f(x) = 2/x+1
A hardware store is having a 35%-off sale. If an item has a list price of $16.20, what is the item's sale price?
$12.80
$9.67
$10.53
$12.15
$11.60
Answer:
10.53
Step-by-step explanation:
hope it helps :)
What is the equation of the line?
Answer:
x=0
Step-by-step explanation:
it is a straight line on the y axis making x=0
2 times 221 divide 4 ?
Which of the following equations shows a directly proportionate relationship?
y = -4x
y = 3x - 1
y = 2.75x - 3
y = 7x
Answer:
first and third
Step-by-step explanation:
the equation representing direct proportion is
y = kx ← k is the constant of proportion
y = - 4x is in this form with k = - 4
y = 7x is in this form with k = 7
23% of $52 is $???? Answer needs a decimal
Answer:
$11.96
Step-by-step explanation:
Now we have to,
→ find 23 percent of $52.
Let's solve the problem,
→ 23% of $52
→ (52/100) × 23
→ 0.52 × 23
→ $11.96
Hence, answer is $11.96.
Write a system of equations with the solution (4, -3).
The system of equations with the solution (4, -3) is y = x - 7 and y = 2x - 11.
We are given a point. The coordinates of the point are (4, -3). We need to find a system of equations such that they pass through the given point.
We will use the slope-point form of a line. Let the slope of the equation of the straight line be "m". We need two equations. The general equation of a line using the slope-point form is given below.
(y - y1) = m(x - x1)
We know that both equations must pass through the given point for the solution to exist.
(y - (-3)) = m(x - 4)
(y + 3) = m(x - 4)
We just need to take any two values of the slope of the line.
First, we take m = 1. The corresponding equation is given below.
(y + 3) = m(x - 4)
(y + 3) = 1*(x - 4)
y + 3 = x - 4
y = x - 7
Next, we take m = 2. The corresponding equation is given below.
(y + 3) = m(x - 4)
(y + 3) = 2*(x - 4)
y + 3 = 2x - 8
y = 2x - 11
Hence, the system of equations is y = x - 7 and y = 2x - 11.
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a₁ = 7
an = an-1 - 3
Write explicitly.
Answer:
a(n) = 10 -3n
Step-by-step explanation:
You want the explicit formula for the sequence recursively defined by a(1)=7, a(n)=a(n-1) -3.
Common differenceThe recursion relation tells you that each term is 3 less than the one before. That is, the common difference between terms is -3.
Explicit formulaA sequence with a common difference is an arithmetic sequence. The formula for the n-th term is ...
a(n) = a(1) +d(n -1)
where a(1) is the first term and d is the common difference.
The first term is given by the recursive definition as 7. Then the explicit formula is ...
a(n) = 7 -3(n -1)
This can be simplified to ...
a(n) = 10 -3n
solve for x
3(x-3) -5 (3x-2) [tex]\leq[/tex] 25
The solution of the given inequality is when the value of x is greater than or equal 2.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
Given expression is 3(x-3) -5 (3x-2)≤ 25.
Therefore, the given inequality can be solved as,
3(x-3) - 5(3x-2) ≤ 25
3x - 9 - 15x + 10 ≤ 25
-12x + 1 ≤ 25
-12x ≤ 25 - 1
-12x ≤ 24
x ≥ 2
Hence, the solution of the given inequality is x ≥ 2.
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we have 5 multiple choice questions with four choices with two correct answers each. if we just randomly guess on each of the 5 questions, how many questions do you expect to choose correct answers? (no need to be integer for the number of questions)
The expectation of getting correct option out of total choice of 5 question.
What is probability?
Probability is the ratio of number of favorable outcomes to the total number of outcomes.It can not be more than 1.
According to given data:we have five question each of them has four choice, two out of them are correct.
Number of correct choice in one question = 2
Total number of choice in a question = 4
probability to get correct option of one question = 2/4 = 0.5.
Then the probability of 5 question = 5(0.5) = 2.5
Thus, the expectation of correct choice is 2.5.
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3. Another bank offers 1.9% annual simple interest for deposits of $10,000 or more. Carter opened an account at this bank with an initial deposit of $12,000. Ruth opened a Deluxe Savings account that same day. If they have both earned the same amount in interest after one year, what was the amount of Ruth's initial deposit?
Ruth must have an initial deposit of $12000 in order to have the same simple interest at the same rate within the same time as Carter
Simple InterestSimple Interest (S.I) is the method of calculating the interest amount for some principal amount of money. Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.
The formula of simple interest is given as
S.I = PRT
p = principal amountr = ratet = timeWe can set up equivalent equations since both interest are equal.
S.I = P(1 + RT)
S.I = 12000(1 + 0.019 * 1)
S.I = 12228
But since they earned the same interest at the same rate within the same period, their principal or initial amount invested must be equal
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Given m || n, find the value of x.
(8x+9)°
81⁰
Please help quick this is due tomorrow and I forgot how to find x
Answer:
you have to add x outside of the parentheses
Step-by-step explanation: hope this helps
Find g(x), where g(x) is the translation 2
units left of f(x)= -5x + 5.
Answer:
g(x)=(-5x+2)+5
Step-by-step explanation:
Write the equation for the line that passes through the point (-6, 2)
The equation of the line that passes through the points (-6 , 2) and (-4 , -1) is 3x + 2y = -14 .
In the question ,
two points are given as (-6 , 2) and (-4 , -1) .
we need to find the equation of the line passing through the given points .
to find the equation First we need to find the slope ,
slope = (-1-2)/(-4-(-6))
slope = -3/(-4 + 6)
slope = -3/2
So , the equation of the line passing through the point (-6 , 2) with slope -3/2 is
(y - 2) = (-3/2)(x - (-6))
y - 2 = (-3/2)(x + 6)
y - 2 = (-3/2)x - 9
y = (-3/2)x - 9 + 2
y = (-3/2)x - 7
2y = -3x - 14
3x + 2y = -14
Therefore , The equation of the line that passes through the points (-6 , 2) and (-4 , -1) is 3x + 2y = -14 .
The given question is incomplete , the complete question is
Write the equation for the line that passes through the point (-6, 2) and (-4,-1) , write the answer in fully reduced form .
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