The equation x² - 2x - 8 = 0 has two real and distinct roots.
Explanation:A quadratic equation is an equation of the form ax² + bx + c = 0. In this equation, the coefficient of the x² term is 1, so a = 1, b = -2, and c = -8. We can determine the nature of the roots without solving the equation by looking at the discriminant, which is the term inside the square root of the quadratic formula. The discriminant is given by b² - 4ac. If the discriminant is positive, the equation has two real and distinct roots. If the discriminant is zero, the equation has two real and identical roots. If the discriminant is negative, the equation has two complex roots.
In this case, we have b = -2 and a = 1, so the discriminant is (-2)² - 4(1)(-8) = 4 + 32 = 36. Since the discriminant is positive, the equation has two real and distinct roots.
if STU is similar to XYZ the sides of STU must be congruent to the corresponding sides of XYZ
A;true
B;false
Answer:
false {apex}
Step-by-step explanation:
A theater manager is planning an upcoming concert. Regular tickets will cost $12 and student tickets will cost $8. The theater can seat at most 200 people. The manager wants to collect at least $1000 from ticket sales. Let x represent the number of regular tickets sold. Let y represent the number of student tickets sold. Which inequalities are among the constraints for this situation? Select each correct answer. 1. x+y≥200 2. 12x+8y≤1000 3. 12x+8y≥1000 4. x+y≥1000 5.x+y≤200 6.12x+8y≤200
The answers are 12x+8y≥1000, 12x+8y≤1000, x+y≤200, and x+y≥200,
The explanation behind the first equation is 12x signifies the regular tickets, being at $12 each. And 8y signifies the student tickets being $8 each. The symbol is "≥", because the manager wants $1000 or more from the ticket sale. While the second equation, just the same with the first but the symbols differ since the sale could be lesser than 1000.
The explanation behind the third equation is 200 is the number of seats at most. In the fourth equation, if many people came, they would lack seats so that’s why the greater sign is used.
A building is 443m and dropped a penny, how long will it take to reach the ground
What are the solutions of the quadratic equation 4x^2 + 34x?
The sales tax rate in a city is 5.316%. how much sales taxes is changed on a camp stove that sells for $128.95?
Which of the following could be the ratio between the lengths of the two legs of a 30-60-90 triangle
we know that
In a [tex]30-60-90[/tex] triangle
the ratio between the lengths of the two legs is equal to the tangent
so
[tex]tan(30\°)= \frac{1}{\sqrt{3}}= \frac{\sqrt{3}}{3}[/tex]
[tex]tan(60\°)= \sqrt{3}[/tex]
therefore
the answer is
Option B
[tex]\frac{1}{\sqrt{3}}[/tex] -------> could be the ratio
because is the value of the [tex]tan(30\°)[/tex]
Option C
[tex]\frac{\sqrt{3}}{3}[/tex] ------> could be the ratio
because is the value of the [tex]tan(30\°)[/tex]
Option E
[tex]\frac{3}{3\sqrt{3}}=\frac{1}{\sqrt{3}}[/tex] -------> could be the ratio
because is the value of the [tex]tan(30\°)[/tex]
Write an expression that evaluates to true if and only if the value of the boolean variable workedovertime is true. submit
The domain of both f(x) = x - 6 and g(x) = x + 6 is all real numbers. What is the domain of h(x) = f(x)/g(x)?
Final answer:
The domain of the function h(x) = f(x)/g(x) is all real numbers except x = -6.
Explanation:
The domain of a function represents the set of all possible input values (x) for which the function is defined. In this case, the domain of f(x) = x - 6 is all real numbers, and the domain of g(x) = x + 6 is also all real numbers. When finding the domain of the function h(x) = f(x)/g(x), we need to consider any values of x that would result in division by zero.
Since g(x) = x + 6, the function g(x) would be equal to zero when x = -6. Therefore, the domain of h(x) would exclude x = -6, as it would result in division by zero. Other than that, the domain of h(x) would be all real numbers.
So, the domain of h(x) = f(x)/g(x) is all real numbers except x = -6.
What is 11.42424242... in a rational expression in the form of a over b?
A relation is?
a.)the output (y) values of the relation
b.)the input (x) values of the relation
c.)a set of points that pair input values with output values
d.)x and y values written in the form (x, y)
Answer:
C.) a set of points that pair input values with output values
Step-by-step explanation:
When the relation between two variables are considered, this implies that there is a constant relationship between them. Thus, one value can be match into the other at a constant factor. This variables (input and output values) can now be seggregated as dependent or independent variables. Dependent variable requires the other variable (independent) for it to change, while the independent can vary on its own.
A rectangular garden has a perimeter of 172 feet. The length of the garden is 24 feet more than the width. What are the dimensions of the garden? (Recall the formula P = 2L + 2W.)
perimeter = 2L +2W, divide total perimeter by 2 for total length of 1 side and 1 width
172/2 = 86 ( total for 1 side and 1 width)
86-24 = 62 (since length is 24 ft longer subtract 24 then divide by 2 for width)
62/2 = 31
width = 31 feet
length = 31 +24 = 55 feet
check: 31*2 = 62, 55*2 = 110, 110+62 = 172
Which of these could be the graph of F(x) = ln x + 2?
Answer:
The shape of that graph is a concave and strictly increasing curve, as shown in the attached graph.
Step-by-step explanation:
The natural logarithm, ln (x), is the inverse of the exponential function and defined in x only for positive real numbers, in addition, it is an irrational number.
From the analytical point of view, it can be defined that for any positive real number x> 0 as the area under the curve y = 1 / t between 1 and x. The natural logarithm is a function with domain of definition of positive real numbers.
Some of the properties of the natural logarithm are: it is a bijective, concave, strictly growing and continuous function
Which type of function is the result of multiplying a quadratic function and a linear function?
a linear function
a quadratic function
a constant function
a cubic function
Answer:
option D a cubic function
Step-by-step explanation:
answer will be option D a cubic function
when we multiply a quadratic function with a linear function the solution comes out to be a cubic function.
Example
assuming a linear function be (x+3)
assuming a quadratic function be ( x² + x+ 3 )
multiplying both the equation
( x² + x+ 3 ) × (x+3)
x². x + 3 x² + x.x + 3 x + 3 x + 9
x³ + 4 x² + 6 x + 9
hence the answer will be cubic.
Find 3 consecutive odd integers whose sum is 117
will mark brainliest Jim Shu has the following work shown on their paper. The directions read “Simplify each radical.” Unfortunately, they have not simplified correctly.
A. Find their mistake and explain what they did wrong.
B. Show the correct solution.
When simplifying radicals, it's essential to break down the number under the radical into its prime factors, pair them off when possible, and bring paired numbers out from under the radical to fully simplify. Without the exact problem that Jim Shu attempted, we can't pinpoint his mistake, but we noted a common error in simplification. Using √18 as an example, the correct simplification would result in 3√2.
Explanation:Without the specific problem that Jim Shu attempted to solve, it is impossible to pinpoint the exact mistake he made. However, a common mistake when simplifying radicals is not properly simplifying the radical into its smallest possible terms. For example, if Jim Shu was trying to simplify √18, but he left it as √9 * 2 instead of converting it into 3√2, then he did not correctly simplify the radical. It is important to break down the number under the radical into its prime factors then pair them off when possible to simplify the radical to its most simple form.
The correct solution for √18, as an example, would be to break down 18 into prime factors (2,3,3), pair them off into a 3 and pull it out from under the radical leaving you with the correctly simplified radical, 3√2.
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I need an algebra equation where the answer is 50
Determine the intervals on which the function is increasing, decreasing, and constant.
Select one:
a. Increasing x < 0; Decreasing x > 0
b. Increasing x > 0; Decreasing x < 0
c. Increasing x < 3; Decreasing x > 3
d. Increasing x > 3; Decreasing x < 3
Answer:
b. Increasing x > 0; Decreasing x < 0
Step-by-step explanation:
We have been given graph of a function. We are asked to find the intervals on which our function is increasing and decreasing.
We know that when graph of function is going upwards from left to right then the graph is increasing.
When graph of function is going downwards from left to right then the graph is decreasing.
Upon looking at our given graph, we can see that for x values less than 0, the graph is going downwards from left to right, therefore, our function is decreasing on interval [tex]x<0[/tex].
We can see from our given graph that for x values greater than 0, the graph is going upwards from left to right, therefore, our function is increasing on interval [tex]x>0[/tex].
In parallelogram MNOP , PK=5x and KN=x2−14 .
What is PN ?
7
36
70
100
Johnetta simplified seven over nine ÷ three over eight; her work is shown below. Identify where she made her error. (5 points) Original division problem: seven over nine ÷ three over eight Step 1: seven over nine multiplied by three over eight Step 2: seven times three over nine times eight Step 3: twenty-one over seventy-two Step 4: seven over twenty-four
Answer:
STEP 1
Step-by-step explanation:
1. The midpoint of Line Segment AB is (2, -9). The coordinates of one endpoint are A (4, 10). Find the coordinates of endpoint B.
experts/ace helpppp plzzz
point slope form is y=mx+ b
m is slope which is given as 1/2
replace x & y into the equation to solve for b
b = 6
so equation is y =1/2x+6
What is the equation of the line shown in the graph?
Drag and drop the expressions to write the equation of the line in slope-intercept form.
y =_+_
Your answer is Y= 2x (a) + 4 (e)
The y intercept is 4 and the slope is 2
Jennifer is the coach for a Little League Baseball team, the Pirates. In choosing new uniforms, she must decide which is the better buy. She can choose from these two offers: 15 t-shirts for $5.83 each or five packages of three t-shirts for $9.78 per package.
Determine the lowest price for 15 uniforms.
Can anyone help me find the volume of this pyramid? Asappp
The volume of the pyramid is 2520 cubic cm if the length is 24 cm, width is 18 cm, and height is 35 cm of the pyramid.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
As we know the volume of a pyramid is given by:
[tex]\rm Volume = \dfrac{1}{3} \times B\times H[/tex]
B is the base area of the pyramid.
We have L = 24 cm, W = 18 cm, and H = 35 cm
B = (24×18)/2 = 216 square cm
[tex]\rm Volume = \dfrac{1}{3} \times 216\times 35[/tex]
Volume = 2520 cubic cm
Thus, the volume of the pyramid is 2520 cubic cm if the length is 24 cm, width is 18 cm, and height is 35 cm of the pyramid.
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The XYZ company is seeing it's worth declining at a rate of 3.2% per year. If the current worth is 2,300,000, what will the value be in 5 years?
A.) about $1,954,810
B.) about$2,692,318
C.) about $1,932,000
D.) about $1,951,836
What is the measure of angle PSQ?
A sofa is on sale for 29% off. the sale price is $355 . what is the regular price?
The sum of three times a number and seven is greater than four times the number
Which statement describes the term salary? Salary refers to the fixed amount paid on a daily basis. Salary refers to the varying amount paid on a daily basis. Salary refers to the fixed amount paid on a weekly, bi-weekly, or monthly basis.
Answer with explanation:
The Meaning of word "Salary " is the Remuneration that you get for converting your energy for obtaining that resources which you don't have ,so you work for others who has other resources or can give you a way to obtain that resources,due to the reason that, you want to keep yourself Mentally as well as physically Healthy.
In today's world money is used for exchange of different goods,in the system created by Humans.So, Remuneration is replaced by "money".
Salary Varies ,on the work you are doing.Because different kind of work requires different amount of energy.So, you get payment according to the work you are doing .
Usually you have to work for five days in a week to get the payment for number of hours worked on each day.
Employee or workers get payment for number of hours worked on daily basis also.
But the word Salary is generally used
"Salary refers to the fixed amount paid on a weekly, bi-weekly, or monthly basis".
Option C
Answer: c. salary refers to the fixed amount paid on a weekly, bi- weekly, or monthly basis
Step-by-step explanation:
State the domain and range for the function f(x) = 2x2 – 7. Show all steps, please.
Answer:
domain is (-∞,∞) and the range is [-7,∞)
Step-by-step explanation:
the guy who answered the question was wrong and i had to point it out