The correct statement about the graph of the function f(x) = 2x²-x-6 is: "The range of the function is all real numbers; The function has two x-intercepts.
What is a function?
A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
Here, we have
The given statements about the graph of the function f(x) = 2x² – x – 6 that are true include: The range of the function is all real numbers; The function has two x-intercepts.
Hence, the correct statement about the graph of the function f(x) = 2x²-x-6 is: "The range of the function is all real numbers; The function has two x-intercepts.
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A. Circle
B. Kite
C. Rectangle
D. Trapezoid
ANY ONE PLZZ THIS IS DUE IN TWO HOURS!!!!!!!!
Answer:
it is option A bro
follow me if it is helpful
After watching baking shows on T.V., Angie signs up for a cake-decorating class. To practice her new skills, she decorates a batch of cupcakes with sugar flowers. Angie puts 4 sugar flowers on each cupcake. In all, Angie puts 32 sugar flowers on the cupcakes.
Which equation can you use to find the number of cupcakes c Angie decorates?
Solve this equation for c to find the number of cupcakes Angie decorates.
Angie decorates 8 cupcakes after putting 4 sugar flowers on each cupcake.
To find the number of cupcakes c Angie decorates, we can use the equation:4c = 32where 'c' is the number of cupcakes Angie decorates.
4 represents the number of sugar flowers Angie puts on each cupcake, and 32 is the total number of sugar flowers Angie puts on the cupcakes.
To solve this equation for c, we need to isolate c on one side of the equation. We can do this by dividing both sides of the equation by 4. This gives us:c = 8
Therefore, Angie decorates 8 cupcakes.Here's how we get to this answer:4c = 32Divide both sides by 4 to isolate c:c/4 = 32/4c = 8
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PLEASE HELP THANK YOU IN ADVANCE
sum∠ of the interior angle m∠easures of a triangle m∠ust be 180°
(all triangles are 180°)
We are given that m∠3 = 48°
So, m∠1+m∠4= 180° - 48° = 132°
answer = 132°
from∠ the figure, we can see that m∠2+m∠3 = 180° = answer
when two angles add up to 180°, then they are called
SUPPLEm∠ENTARY angles
Since m∠3 = 48°, it m∠ust be that m∠2 is 180° - 48° = 132°
answer is 132°
Therefore, m∠2 = m∠1+m∠4
This result is an example of the Exterior Angle Property of Triangles.
For any triangle, the measure of an exterior angle is
equal to the sum of it's interior opposite angles
m∠2 = 132°
m∠2 = m∠1+m∠4
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f(x)=-2x-1 g(x)=-1/2x+1/2 Which statements, if any, are true about these functions? I. The function f(g(x)) = x for all real x. II. The function g(f(x)) = x for all real x. III. Functions f and g are inverse functions.
Answer:
III. Functions f and g are inverse functions.
Step-by-step explanation:
Answer:
None of statements are true
Step-by-step explanation:
let v denote the set of all differentiable real-valued functions defined on the real line. prove that v is a vector sp ace with the operations of addition and scalar multiplication defined in example 3.
The set of all differentiable real-valued functions defined on the real line. Proved that V is a vector space with the operations of addition and scalar multiplication defined as:
(f + g)(s) = f(s) + g(s)
(c f)(s) = c[f(s)].
Let V denote the set of all differentiable real-valued functions defined on the real line. Prove that V is a vector space with the operations of addition and scalar multiplication defined as:
(f + g)(s) = f(s) + g(s)
(c f)(s) = c[f(s)].
To prove vector space, we need to hold eight properties of vector space.
1) Closed
(f + g)(s) = f(s) + g(s) (given)
so, closed holds with respect to given defined operation.
2) Associative law
let defined three function, f,g,h in V,
(f+g)(s)+h(s)=f(s)+g(s)+h(s)
= f(s)+(g+h)(s)
hence associative law hold.
3) Existence of identity,
(f+o)(s)=f(s)
f(s)+o(s)=f(s)
Hence, O(s) is identity for this function,
4) Existences of Inverse,
(-f)(s) is inverse for f(s)
5) Commutative law,
(f+g)(s)=(g+h)(s)
6)( cf)(s)=c[f(s)]g
7) c(f+g)(s)=cf(s)+g(s)
8) c(fg)(s)=(cf(s))g(s)
Hence, the given function is defined Operations.
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Convert the number from
standard notation to scientific notation
600 =____ X 10
Answer:
10×60=600Step-by-step explanation:
hope it helps you have a good dayAnswer:
6 × 10²
Step-by-step explanation:
600 = 6 × 10²
-TheUnknownScientist
what's the first step of solving -x^2-4x+16=0 ??? NOW!
Answer:
Step-by-step explanation:
Use the Quadratic Formula.
-x² - 4x + 16 = 0
x = [4±√(4²-4(-1)(16)]/[2(-1)] = [4±√80]/(-2) = [4±4√5]/(-2) = -2±2√5
write an equation of the line that passes through the points (0,-2),(3,13)
Answer: y = 5x-2
Step-by-step explanation:
Alguém me ajuda pelo amor de Deus q eu tô em prova
Answer:
\(x=50\º\)
Step-by-step explanation:
We know ∠R+∠S+∠T = 180º
Then,
\((x+50\º)+(x+10\º)+(x-30\º) = 180\º\)
\(3x+30\º = 180\º\)
\(3x = 150\º\)
\(x=50\º\)
Stacy performed an experiment in which she flipped a coin three times. The list below shows all the possible combinations of the outcome of the experiment.
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
Is Stacy more likely to flip a heads on the first try or flip a tails on the second two tries of the experiment?
A. Stacy is more likely to flip a tails on the second two tries of the experiment, because 4/8 > 2/8
B. Stacy is more likely to flip a heads on the first try of the experiment, because 6/8 > 4/8
C. Stacy is more likely to flip a tails on the second two tries of the experiment, because 6/8 > 4/8
D. Stacy is more likely to flip a heads on the first try of the experiment, because 6/8 > 4/8
Answer:
option A is the correct answer.
Step-by-step explanation:
Stacy is more likely to flip a tails on the second two tries of the experiment, because there are four possible outcomes with tails on the second two tries (HT, TT, HT, TT) out of a total of eight possible outcomes, which gives a probability of 4/8 or 1/2. On the other hand, there are only three possible outcomes with heads on the first try (H**, T**, H, T) out of a total of eight possible outcomes, which gives a probability of 3/8. Therefore, option A is the correct answer.
Six students write an exam. The average score obtained on the exam by the group of students is 71%. If the first two students each obtained a mark of 73%, while the next three students each obtained a mark of 68%, what was the mark obtained by the sixth student?
how many solution does 5x - 1 = 10x -4 - 5 x + 3 have?
The two triangles shown are similar. Find the value of a/b
Answer:
\(\frac{a}{b} = \frac{5}{6}\)
Step-by-step explanation:
See attachment for complete question.
In the attachment, by comparison: we have:
\(a : b = 7.5 : 9\)
Convert ratio to fraction
\(\frac{a}{b} = \frac{7.5}{9}\)
Simplify the fraction
\(\frac{a}{b} = \frac{7.5/1.5}{9/1.5}\)
\(\frac{a}{b} = \frac{5}{6}\)
Hence:
Base on the attachment, the solution to the question is:
\(\frac{a}{b} = \frac{5}{6}\)
$126,000 245,000 240,000 $485,000 Given the following Year 9 selected balance sheet data: Assets Cash on Hand Total Current Assets Total Fixed Asset Investments Total Assets Liabilities and Shareholder Equity Accounts Payable Overdraft Loan Payable 1-Year Bank Loan Payable Current Portion of Long-Term Loans Total Current Liabilities Long-Term Bank Loans Total Liabilities Shareholder Equity: Common Stock (at a par value of $0.50 per share Additional Capital Retained Earnings Total Shareholder Equity Total Liabilities and Shareholder Equity $ 66,000 0 0 17,000 83,000 66,000 149,000 Year 8 Year 9 Balance Change 10,050 0 81,500 0 162,450 82,000 254,000 +82,000 10,050 81,500 244,450 336,000 $485,000 Based on the above figures and the definition of the debt:equity percentages (or debt%:equity%) presented in the Help section for p. 5 of the camera and Drone Journal, the company's debt:equity percentages (rounded to 2 decimal places) and its current ratio are Based on the above figures and the definition of the debt:equity percentages (or debt%:equity%) presented in the Help section for p. 5 of the camera and Drone Journal, the company's debt:equity percentages (rounded to 2 decimal places) and its current ratio are 29:71 and 2.48. 31:69 and 2.95. 31:69 and 1.64. 38:62 and 3.12. 26:74 and 2.74.
The company's debt-to-equity ratios (rounded to two decimal places) and current ratio are 31:69 and 1.64, respectively.
The debt to equity ratio is calculated as Total Liabilities / Total Shareholder Equity.
For the given year 9 data, Total Liabilities = 254,000 and Total Shareholder Equity = 336,000
So, debt to equity ratio = 254,000 / 336,000 = 0.754 = 75.4%
And, the debt to equity percentage rounded to 2 decimal places is 75.40%, so the ratio can be expressed as 31:69.
The current ratio is calculated as Total Current Assets / Total Current Liabilities.
For the given year 9 data, Total Current Assets = 83,000 and Total Current Liabilities = 149,000.
So, the current ratio = 83,000 / 149,000 = 0.556 = 0.56
And the current ratio rounded to 2 decimal places is 1.64.
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The exponential model A=433.4e^0.032t describes the population, A, of a country in millions, t years after 2003. Use the model to determine when the population of the country will be 796 million.
The population of the country will be 796 million in
(Round to the nearest year as needed.)
The population of the country will be 796 million approximately in the year 2022.
To find when the population of the country will be 796 million, we can set the equation equal to 796 and solve for t:
\(A = 433.4e^{(0.032t)}\\796 = 433.4e^{(0.032t)}\)
Divide both sides by 433.4:
\(e^{(0.032t)} = 1.836\)
Take the natural logarithm of both sides:
\(ln(e^{(0.032t)}) = ln(1.836)\)
0.032t = 0.605
Divide both sides by 0.032:
t = 18.91
Therefore, the population of the country will be 796 million approximately 19 years after 2003. To find the year, we add 19 to 2003:
2003 + 19 = 2022
Therefore, the population of the country will be 796 million approximately in the year 2022.
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Shen the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were clients who did Plan A and who did Plan B. On Thursday there were clients who did Plan A and who did Plan B. Shen trained his Wednesday clients for a total of hours and his Thursday clients for a total of hours. How long does each of the workout plans last?
The length of time that it will take for each of the workout sessions would be: Plan A = 1.5 hours, and Plan B = 0.5 hours.
What would be the length of the sessions?The length of the sessions can be obtained by first obtaining drawing a system of equations for the two cases. On Wednesday, we can represent the sessions as follows:
2A + 12B = 9 hours
On Thursday, we would have
5A + 3B = 9 hours
2A + 12B = 9 Eqn 1
5A + 3B = 9 Eqn 2
Multiply equation 2 by -4
2A + 12B = 9
-20A - 12B = -36
2A - 20A = 9 -36
-18A = -27
Divide both sides by -18
A = 1.5 hours
For B, substitute A in the first equation
2(1.5) + 12B = 9
3 + 12B = 9
12B = 9 - 3
12B = 6
Divide both sides by 12
B = 0.5
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Complete Question:
Ann the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were 2 clients who did Plan A and 12 who did Plan B. On Thursday there were 5 clients who did Plan A and 3 who did Plan B. Ann trained her Wednesday clients for a total of 9 hours and her Thursday clients for a total of 9 hours. How long does each of the workout plans last?
Plz Help ASAPPPP
Examine the figure below B (4x-16)^ (5x+7 ) А Determine which of the following angle measures are correct Select all that apply. m angle ROO=108^ m angle ACB=112^ m angle BCD=68^ m angle BAC=72^ m angle ABC=68
Answer: m∠BAC = 72°
. m∠BCD = 108°
I took the test :)
Step-by-step explanation:
The measure of angles from the given diagram is
∠BOD=108°
∠BAC=72°
Given :
From the given diagram , the angles
\(<B=4x-16\\<BCA=5x+7\)
Given triangle is an isosceles triangle
∠A=∠BCA
\(<A = 5x+7\)
sum of interior angles in a triangle is 180 degrees
\(<A+<B+<BCA= 180\\5x+7+4x-16+5x+7=180\\\\14x+7-16+7=180\\14x-2=180\\14x=182\\\frac{14x}{14}=\frac{182}{14}\\x=13\)
substitute the value of x and find out the remaining angles
\(<B=4x-16\\\\<B=4(13)-16=36\\<BCA=5(13)+7=72\\\\<A= 72\)
Angle BCA and angle BCD are linear pair of angles
\(<BCA =72\\<BCD= 180-<BCA\\<BCD=180-72\\<BCD=108\)
<BAC= 72 degrees
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f(x) = (x - 2)(x + 1)
x + 1
6 Of
Which statements describe the end behavior of the graph of the function shown? Check all that apply.
As X - 00, y - 1.
As X - 00, y - 00
As x - 00, y - -0.
As x = -00, y - 1.
As X - -00, Y - 00.
As X - -00, y = -0.
9514 1404 393
Answer:
B, F
Step-by-step explanation:
The factors (x+1) cancel, leaving the function ...
f(x) = x -2
This is an odd-degree function with a positive leading coefficient, so its graph has the general shape / (up to the right). The end behavior is ...
as x → ∞, y → ∞as x → -∞, y → -∞_____
Additional comment
The graph of this function is a straight line with a slope of 1 and a y-intercept of -2. It has a hole (removable discontinuity) at (-1, -3).
Please help find the perimeter and area of the polygon
find the distance between the following pairs of points (-1,5)and(-7,-3)
The distance between the points (-1, 5) and (-7, -3) is 10 units.
What is the distance between the given points?The distance formula used in finding the distance between two points is expressed as;
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
Point 1 (-1,5)
x₁ = -1y₁ = 5Point 2 (-7,-3)
x₂ = -7y₂ = -3Plug the given values into the distance formula and simplify.
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
D = √[(-7 - (-1))² + (-3 - 5)²]
D = √[(-7 + 1)² + (-3 - 5)²]
D = √[-6² + (-8)²]
D = √[36 + 64]
D = √100
D = 10
Therefore, the distance is 10 units.
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This season, the probability that the Yankees will win a game is 0.61 and the
probability that the Yankees will score 5 or more runs in a game is 0.56. The
probability that the Yankees win and score 5 or more runs is 0.44. What is the
probability that the Yankees will lose when they score fewer than 5 runs? Round your
answer to the nearest thousandth.
The probability that the Yankees will lose when they score fewer than 5 runs is 17.16%.
ProbabilityGiven that this season, the probability that the Yankees will win a game is 0.61 and the probability that the Yankees will score 5 or more runs in a game is 0.56, and the probability that the Yankees win and score 5 or more runs is 0.44, to determine what is the probability that the Yankees will lose when they score fewer than 5 runs the following calculation must be made:
1 - 0.61 = 0.391 - 0.56 = 0.440.39 x 0.44 = X0.1716 = XTherefore, the probability that the Yankees will lose when they score fewer than 5 runs is 17.16%.
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Answer: The probability that the Yankees will lose when they score fewer than 5 runs is 17.16%
Step-by-step explanation:
If a_1=3a 1 =3 and a_n=(a_{n-1})^2+4a n =(a n−1 ) 2 +4 then find the value of a_4a 4 .
The fourth term a₄ of the sequence is 29933
How to determine the value of a₄ of the sequence?From the question, we have the following definition of the function that can be used in our computation:
a₁= 3
aₙ = (aₙ₋₁)² + 4
The above definitions imply that we simply square the previous term and then add 4 to the squared result to get the current term
Using the above as a guide,
so, we have the following representation
a₂ = (3)² + 4
a₂ = 13
Also, we have
a₃ = (13)² + 4
a₃ = 173
Lastly, we have
a₄ = (173)² + 4
Evaluate the equation
a₄ = 29933
Hence, the value of a₄ is 29933
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What is the vertex of the graph of f(x) = |x + 3| + 7?
Answer:
(-3,7)
Step-by-step explanation:
Step-by-step explanation:
Let x represent Anna's age. If John's age is Anna's age plus 1 and Tamara is Anna's
decreased by 2, write an expression that represents the sum of Anna's and John's
age, minus Tamara's age?
Answer:
x + 3
Step-by-step explanation:
x = Anna's age
y = John's age
z = Tamara's age
y = x + 1
z = x - 2
the expression for the sum of Anna's and John's age minus Tamara's age is
x + y - z
and when we use the equations above to simplify that :
x + (x + 1) - (x - 2) = x + x + 1 - x + 2 = x + 3
WILL MARK THE BRAINLIEST
14. What is the relationship between angles 1 and 2 in the diagram below if the SAS Inequality Theorem is applied?
The relationship between angle 1 and 2 using SAS Inequality Theorem is m∠1 = m∠2.
What are similar triangles?Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other.
In other words, two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
The SAS similarity theorem states if two sides of a triangle are proportional to each other or have the same ratio, and each triangle have congruent angles, the triangles are similar to each other.
For Triangles to obey SAS rule, the triangle must have 2 given sides and an angle.
Therefore, using SAS inequality theorem,
m∠1 = m∠2
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Solve for x.
Your Answer:
Question 3 options:
Answer
Write in slope-intercept form an equation of a line that
passes through the given points.
(0,1), (2, 4)
Answer:
y=3/2x+1
Step-by-step explanation:
it passes through (0,1) which means the y-intercept, b, is 1, and add 2 and 3 to the first pair gives you a change of 3/2 meaning the change in y is 3 and the change in x is 2 so the change in y over the change in x is 3/2
i need help with this!
Answer:
to convey the parametric expression to be use the explosions
A Tortoise walks 12 inches per minute. Convert to feet per hour.
Answer:
60 feet per hour
Step-by-step explanation:
12 ÷ 12 = 1
1 * 60 = 60
Please helllllllllllllllllp meeeee.
Answer:
d ≈ 5.7
Step-by-step explanation:
[Given] d² = 33
[Square root both sides] \(\sqrt{d^{2} }\) = \(\sqrt{33}\)
[Solve for \(\sqrt{33}\) and cancel out the square root + square] d ≈ 5.74456
[Round to nearest tenth] d ≈ 5.7
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather