A trinomial with a leading coefficient of 3 and a constant term of − 5
Trinomial:
A trinomial is an algebraic expression with three terms. Algebraic expressions consist of variables and constants of one or more terms. These expressions use symbols or operators as separators, such as +, –, ×, and ÷. Trinomials, as well as monomials, binomials and polynomials, are grouped under this algebraic expression.
According to the Question:
From the option,
(1) the equation 3x2 + 2x - 2 = 0
The leading term is 3x²
The leading coefficient is 3.
The constant term is -5.
(2) the equation -2 -3x² + 3 = 0
The leading term is -3x²
The leading coefficient is -3
Constant term = 3 - 2 = 1
(3) the equation -3x + 3x2 - 2 =0
The leading term is 3x
The leading coefficient is
The constant term is -5.
(4) the equation 0 = 3x² + x + 2
The leading term is 3x²
The leading coefficient is 3
The constant term is 2.
(5) the equation -1x - 2 + 3x²= 0
The leading term is 3x²
The leading coefficient is 3
The constant term is -2.
Therefore, the equations with leading coefficient 3 and constant term -5 are (3) -3x + 3x - 5 = 0
Complete Question:
Which equations have a leading coefficient of 3 and a constant term of -2? check all that apply.
(1) 3x² + 2x - 2 = 0
(2) -2 - 3x² + 3 = 0
(3) -3x + 3x - 5 = 0
(4) 3x2 + x + 2 = 0
(5) -1x - 2 + 3x2 = 0
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KIM AND HER MOM HAVE SOME ITEMS TO DONATE TO
FAMILIES IN NEED FOR CHRISTMAS BASKETS. THEY
HAVE 100 ROLLS AND 25 PUMPKIN PIES. THEY WANT
EVERY BASKET TO BE EXACTLY THE SAME, AND THEY
DON'T WANT ANY LEFTOVER FOOD. WHAT IS THE
LARGEST NUMBER OF BASKETS THAT THEY CAN MAKE?
for a second i thought you were talking about the kim kardashians lma.o
and btw the answer is 4
A researcher has run an experiment on the effects of early cognitive simulation on children and their school success at age 10 years. He wants to compare his sample results to the normal distribution (z-distribution), but he is not sure whether the population distribution is normal or not. He comes to you as an expert in statistics for advice. Can he do this? Why or why not? What conditions must be met?
The researcher can compare his sample results to the normal distribution (z-distribution) if certain conditions are met. In order to compare sample results to the normal distribution using the z-distribution, certain conditions must be met.
The most important condition is that the population distribution should be approximately normal or at least follow a symmetric distribution. This condition is necessary because the z-distribution assumes a normal distribution. If the population distribution deviates significantly from normality, the use of the z-distribution may not be appropriate.
To determine whether the population distribution is normal, the researcher can conduct tests of normality, such as the Shapiro-Wilk test or the Kolmogorov-Smirnov test, on the data collected. These tests can assess whether the data significantly deviate from a normal distribution. If the data is found to deviate from normality, alternative methods, such as non-parametric tests, may be more suitable for analyzing the results.
It is important for the researcher to carefully consider the assumptions and conditions necessary for using the z-distribution before proceeding with the comparison. If the population distribution is not normal or the assumptions are violated, alternative statistical approaches should be used to ensure accurate analysis and interpretation of the results.
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A science club has 13 members. The club bought b bumper stickers to split among its members. Write an expression that shows how many bumper stickers each member will get.
Answer: b/13
Step-by-step explanation:
Divide b by 13 to get b/13
the number of buses arriving at a bus stop in any interval of minutes is a poisson random variable on average, a bus arrives every minutes. (a) for an interval of minutes, (b) what is the probability of buses arriving in a -minute interval? (c) what is the probability of no buses arriving in a -minute interval? (d) how much wait time is necessary to guarantee at least one bus with % probability?
(a) The mean number of buses arriving in any interval of minutes is λ = 1.
(b) The probability of buses arriving in a t-minute interval is P(X > 0) = 1 - P(X = 0), where X is a Poisson random variable with parameter λt.
P(X = 0) = \(e^{(-λt)}\) = \(e^{(-t)}\)Therefore, P(X > 0) = 1 - \(e^{(-t)}\).(c) The probability of no buses arriving in a t-minute interval is P(X = 0) = \(e^{(-λt)}\) = \(e^{(-t)}\).
(d) The probability of at least one bus arriving in a t-minute interval is
P(X ≥ 1) = 1 - P(X = 0) = 1 - \(e^{(-t)}\).
To guarantee at least one bus with a certain percentage of probability, we need to solve the inequality:
1 - \(e^{(-t)}\) ≥ pwhere p is the desired probability. Solving for t, we get:
t ≥ -ln(1-p)Therefore, the minimum wait time necessary to guarantee at least one bus with a probability of p is -ln(1-p) minutes.
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A group of 3 friends were going on a hike. One friend brought 0.75 lbs of trail mix, the second friend brought 1.3 lbs of trail mix, and the third friend brought 0.35 lbs of trail mix. If they combine all their trail mix and split it equally among the 3 friends, how much trail mix does each friend get?
lbs
Answer:
0.8 pounds
Step-by-step explanation:
0.75 plus 1.3 plus 0.35 = 2.40 pounds
2.40 divided by 3 is 0.8 pounds
Write this number in standard form 0.000000005009
Answer: 5.009 x 10^-9
Step-by-step explanation:
if the sides of a triangle are in the ratio 3:4:5, prove that it is
right-angled triangle
Answer:
hope this helps
Step-by-step explanation:
Let a , b , c are three sides of a triangle
a : b : c = 3 : 4 : 5
a = 3x ,
b = 4x ,
c = 5x
a² = 9x²
b² = 16x²,
c² = 25x².
c² = a² + b²
by the pythagorean theorem,
a , b , c forms a right angled Triangle.
Answer:
yes it's a right angle triangle
Step-by-step explanation:
Given the sides are in the ratio 3:4:5.
Let ABC be the given triangle.
Let the sides be 3x,4x and hypotenuse be 5x.
According to Pythagoras theorem,
AC
2
=BC
2
+AB
2
BC
2
+AB
2
=(3x)
2
+(4x)
2
=9x
2
+16x
2
=25x
2
AC
2
=(5x)
2
=25x
2
AC
2
=BC
2
+AB
2
Hence ABC is a right angled triangle
Use the information in the table to answer the question. A 3-column table has 1 row. The first column is labeled Species with entry Goldfish. The second column is labeled Mean with entry 7 inches. The third column is labeled Standard Deviation with entry 1.2 inches. What percentage of goldfish will have lengths between 4.6 inches and 9.4 inches?
Answer:
94% so C
Step-by-step explanation:
I did the assignment
Hope it helps
Answer:
95%
Step-by-step explanation:
Edge 2020
Can someone help me with these questions? I'm really lost.
1. Judy took $30 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each bag of popcorn was $5. The price of each drink was half the price of a bag of popcorn.
(a) Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of bags of popcorn and the other axis to represent the number of drinks.
(b) Explain your graph.
2. Graph the piecewise function.
f(x) = { 3x - 5 if x ≤ - 1 / -2x + 3 if -1 < x < 4 / 2 if x ≥ 4
3. Graph the step function over the interval -2 ≤ x ≤ 2.
f(x) = { x+ 3}
Answer:
Step-by-step explanation:
On the x axis have popcorn going up in 5s and up to the value 30 and on the y axis have drinks going up in 2.5s to the value 15.
The graph should look like similar to an 'exponential graph' because for every popcorn you buy, the drink will be half the price
Its probably late but, I hope this helped!!!.
Answer:
here is the graph!
Step-by-step explanation:
My graph represents the number of drinks and bags of popcorn that Judy will be able to purchase with her $30. For every two drinks Judy buy’s, she would have to buy one less popcorn.
Wendy is expecting a promotion at her workplace. however, she wants to know how she can improve so that she can get the promotion. what should wendy do?
a.
review her own work
b.
observe her colleagues
c.
ask for feedback from her peers
d.
ask for feedback from her manager
Wendy should review her own work, observe her colleagues, ask for feedback from her peers, and ask for feedback from her manager.
What actions should Wendy take to improve her chances of getting a promotion?To enhance her chances of getting a promotion, Wendy can take several steps to improve her performance and demonstrate her readiness for advancement. First, she should review her own work critically and assess areas where she can enhance her skills or knowledge. This self-reflection allows her to identify any weaknesses and take proactive steps to address them.
Second, Wendy can observe her colleagues who have succeeded in similar positions or have received promotions. By observing their work habits, techniques, and approaches, she can gain valuable insights and learn from their experiences. This can help her refine her own strategies and adapt successful practices.
Third, seeking feedback from her peers is crucial. Wendy can request constructive criticism from colleagues who have worked closely with her. Their input can provide valuable perspectives on her strengths and areas for improvement. Actively listening to their feedback and incorporating it into her work can help her grow professionally and increase her chances of promotion.
Lastly, Wendy should seek feedback from her manager. Direct communication with her manager allows her to gain specific insights into what the organization values in a potential candidate for promotion. Wendy can discuss her career aspirations, seek guidance on areas to focus on, and demonstrate her commitment to professional growth. Building a strong rapport with her manager can also increase her visibility within the organization and enhance her chances of being considered for promotion.
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How do you find the missing measures using triangle and quadrilateral sum theorem? Especially on measures like E?
We can use the condition of the angle of triangle and rectangle to find the missing measures.
And, Measure of angle E is,
⇒ ∠e = 17°
We have to given that;
To find the missing measures using triangle and quadrilateral sum theorem.
Now, We know that;
In a triangle;
The sum of all the interior angles of a triangle is, 180°
And, In a rectangle ;
The sum of all the interior angles of a rectangle is, 360°
So, For find the measure of angle E we can apply the condition of triangle as;
⇒ ∠e + ∠c + 73° = 180°
⇒ ∠e + 90 + 73 = 180
⇒ ∠e = 180 - 163
⇒ ∠e = 17°
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PLEASE HELP!!!! I HAVE TO GO TO SOFTBALL SO I HAVE TO HURRY!!!!!! PLEASE HELP!!!!!!!!!!!!!!!!
A cylinder-shaped water tank is 160 cm tall and measures 87.92 cm around.
What is the volume of the water tank?
Enter your answer as a decimal in the box. Use 3.14 for π.
Answer:
Step-by-step explanation:
The volume formula for a cylinder is
\(V=\pi r^2h\)
In order to find the radius we need to use the circumference we were given. The formula for the circumference is
\(C=2\pi r\)
Filling in the info about the circumference value of 87.92:
\(87.92=2(3.14)r\) or
87.92 = 6.28r so
r = 14
Now that we know the radius we can fill in the volume formula:
\(V=(3.14)(14)^2(160)\) and
V = 98470.4 cm cubed
A survey of 135 investment managers in a poll revealed the following.
a. 42% of managers classified themselves as bullish or very bullish on the stock market.
b. The average expected return over the next 12 months for equities was 11.8%.
c. 29% selected health care as the sector most likely to lead the market in the next 12 months.
d. When asked to estimate how long it would take for technology and telecom stocks to resume sustainable growth, the managers' average response was 2.9 years.
Cite two descriptive statistics.
1. Of those investment managers surveyed, 42% were bullish or very bullish on health care stocks over the next 2.9 years.
2. Of those investment managers surveyed, 42% were bullish or very bullish on the stock market.
3. Of those investment managers surveyed, 42% selected technology and telecom stocks to be the sector most likely to lead the market in the next 12 months.
4. Of those investment managers surveyed, 29% selected health care as the sector most likely to lead the market in the next 12 months.
5. Of those investment managers surveyed, 11.8% expect it would take 12 months for equities to resume sustainable growth.
According to the question 42% of investment managers were bullish on the stock market, and the average expected return for equities was 11.8%.
1. The average expected return over the next 12 months for equities was 11.8%.
The average expected return for equities, based on the responses of the investment managers surveyed, was found to be 11.8%. This indicates the average anticipated profitability of investments in equities over the next year.
2. 42% of managers classified themselves as bullish or very bullish on the stock market.
Out of the investment managers surveyed, 42% expressed a bullish or very bullish outlook on the stock market. This suggests that a significant portion of the surveyed managers held an optimistic view of the stock market's performance.
In conclusion, the descriptive statistics gathered from the survey of investment managers indicate that the average expected return for equities is 11.8%, and 42% of managers classified themselves as bullish or very bullish on the stock market.
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183 1/3% of 108 please help me
Answer:
Your answer would be 198.
Step-by-step explanation:
Brainliest please! I am so close to getting my next ranking! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
exercise 6.1.11: find the inverse laplace transform of 1 /(s−1)^2 (s+1) .
Answer:
The inverse Laplace transform of 1/(s-1)^2 (s+1) is e^t - te^t + e^(-t)
We start by applying partial fraction decomposition to the given expression:
1/(s-1)^2 (s+1) = A/(s-1) + B/(s-1)^2 + C/(s+1)
Multiplying both sides by the denominator, we get:
1 = A(s-1)(s+1) + B(s+1) + C(s-1)^2
Substituting s=1 gives:
1 = 4C
So, C=1/4.
Substituting s=-1 gives:
1 = -4A
So, A=-1/4.
Substituting s=1 and simplifying gives:
B = 1/2.
Thus, we have:
1/(s-1)^2 (s+1) = (-1/4)/(s-1) + (1/2)/(s-1)^2 + (1/4)/(s+1)
Taking the inverse Laplace transform of each term using the table of Laplace transforms, we get:
L^(-1){(-1/4)/(s-1)} = -e^t
L^(-1){(1/2)/(s-1)^2} = te^t
L^(-1){(1/4)/(s+1)} = (1/2)e^(-t)
Hence, the inverse Laplace transform of 1/(s-1)^2 (s+1) is e^t - te^t + e^(-t).
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Help please! Thanks.
Answer:
\(4(x-5)>8\)
Step-by-step explanation:
x^2+14x-51=0 I have to solve by completing the square
Answer:
Step-by-step explanation:
Alright man, I got you.
So here is step-by-step
To solve the equation x^2 + 14x - 51 = 0 by completing the square, follow these steps:
Step 1: Move the constant term to the right-hand side
x^2 + 14x = 51
Step 2: Take half of the coefficient of x, square it, and add it to both sides of the equation
To find half of the coefficient of x, divide it by 2:
(14 / 2) = 7
Then square 7:
7^2 = 49
Add 49 to both sides of the equation:
x^2 + 14x + 49 = 51 + 49
Simplifying the right-hand side:
x^2 + 14x + 49 = 100
Step 3: Factor the left-hand side as a perfect square
The left-hand side is now a perfect square trinomial, which can be factored as:
(x + 7)^2 = 100
Step 4: Take the square root of both sides of the equation
Taking the square root of both sides of the equation gives:
x + 7 = ±10
Step 5: Solve for x
Subtracting 7 from both sides of the equation gives:
x = -7 ± 10
Therefore, the solutions to the equation x^2 + 14x - 51 = 0 are:
x = -7 + 10 = 3
or
x = -7 - 10 = -17
Determine the value of x
Answer:
x would be 10
Step-by-step explanation:
angles across from each other are always equal so x would be 10 because 3 times 10 is 30 and then add the other 10 to get 40
Answer:
x = 10
Step-by-step explanation:
Since these angles are vertical angles, we know that 40 = 3x + 10. Subtract 10 from both sides to get 30 = 3x. Divide both sides by 3 to get x = 10.
Tavon has a $50 gift card that’s very loses $2 for each 30-day period it is not used. He has a $40 card that’s loses $1.50 for each 30-day period it is not used.
A local Dunkin' Donuts shop reported that its sales have increased exactly 12% per year for the last 2 years. This year's sales were $81,427. What were Dunkin' Donuts' sales 2 years ago? (Round each year's sales to the nearest dollar.)
Answer:
If the sales 2 years ago were x, the sales last year were 1.12x and this year's sales were 1.12 * (1.12x). We can write 1.12 * (1.12x) = 81427 so that means x = $64913.
Multiply the polynomials. Express the answer as single polynomial in standard form. (6x - 7)²
the product of the polynomial (6x - 7)² is 36x² - 84x + 49, expressed in standard form.
To multiply the polynomial (6x - 7)², we can use the concept of binomial expansion or the FOIL method. Let's apply the FOIL method:
(6x - 7)² = (6x - 7)(6x - 7)
Using the FOIL method, we multiply the first terms, outer terms, inner terms, and last terms:
(6x - 7)(6x - 7) = 6x * 6x + 6x * (-7) + (-7) * 6x + (-7) * (-7)
Simplifying each term:
= 36x² - 42x - 42x + 49
= 36x² - 84x + 49
Therefore, the product of the polynomial (6x - 7)² is 36x² - 84x + 49, expressed in standard form.
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identify the score that should lead to a better grade: A score of X =70 on an score with M = 92 and SD = 8, vs a score of X = 60 on an score with M = 72 and SD = 12.
The score that should lead to a better grade can be identified by considering the z-scores. The z-score measures how many standard deviations a raw score is above or below the population mean. In this case, a higher z-score indicates a better grade.
To determine which score leads to a better grade, we calculate the z-score for each score using the formula: z = (X - M) / SD. Here's the calculation for each score:
For X = 70:
z = (70 - 92) / 8
z = -2.75
For X = 60:
z = (60 - 72) / 12
z = -1
Comparing the z-scores, we find that a score of X = 70 has a higher z-score (-2.75) than a score of X = 60 (-1). Therefore, the score of 70 should lead to a better grade than the score of 60.
In summary, the score with the higher z-score is the one that should lead to a better grade. In this case, a score of 70 has a higher z-score compared to a score of 60, indicating a better grade for the score of 70.
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pls help A rectangle has a length of 4.3 cm and a perimeter of 14.8 cm. Find the width of the rectangle.
cm
A rectangle has a length of 4.3 cm and a perimeter of 14.8 cm. The width of the rectangle is 3.1 cm.
What is a rectangle?A rectangle is a shape that has four right angles and whose adjacent lengths are not the same.
Given, the length L is 4.3 cm
The perimeter of the rectangle is 14.8 cm.
To calculate the perimeter = 2(l + w)
Putting the values:
14. 8 = 2(4.3) + 2w
Expand the bracket
14. 8 = 8. 6 + 2w
Collect like terms
2w = 14. 8 - 8.6
2w = 6. 2
Divide through by the coefficient of w
w = 6.2/2
w = 3.1 cm
Therefore, the width of the rectangle is 3.1 cm.
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If 23 jugs of water fills 184 cups how many cups will fill one jug show your math
Answer:
To find out how many cups a single jug of water fills, you can divide the total number of cups filled by the number of jugs:
184 cups / 23 jugs = <<184/23=8>>8 cups/jug
This means that one jug of water fills 8 cups.
Step-by-step explanation:
help please 12 points
Answer:
7/5
Step-by-step explanation:
The boss told the management team some sad news too. “I’m cutting your hourly pay. You now get paid per project you finish. I will give you $10 for each finished schedule you create and $20 for each meeting you complete! You cannot make more than $100 per day! Also you must make more than twice as many schedules as meetings!”
Create a system of linear inequalities to model the situation above, where x is the number of schedules made and y is the number of meetings completed.
The system of linear inequalities to model the situation is 10x + 20y ≤ 100 and y > 2x
How to create a system of linear inequalities to model the situationFrom the question, we have the following parameters that can be used in our computation:
Each finished schedule = $10Each meeting = $20Amount to make = Not more than $100You must make more than twice as many schedules as meetingsUsing the following representations:
x = the number of schedules madey = the number of meetings completedWe have the following system of inequalities from the given statements
10x + 20y ≤ 100
y > 2x
Hence, the system of inequalities is 10x + 20y ≤ 100 and y > 2x
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kate has 7 different types of flowers but she wants to make a floral arrangement with only 4 of them. how many possible flower arrangements are there?
To find the number of possible flower arrangements, we can use the concept of combinations. In this case, Kate has 7 different types of flowers and she wants to choose 4 of them for her floral arrangement.
To solve this problem, we can use the combination formula. The formula for combinations is C(n, r) = n! / (r!(n-r)!), where n represents the total number of items and r represents the number of items chosen at a time.
In this case, n = 7 (since Kate has 7 different types of flowers) and r = 4 (since she wants to choose 4 flowers for her arrangement).
Using the combination formula, we can calculate the number of possible flower arrangements.
C(7, 4) = 7! / (4!(7-4)!)
= 7! / (4!3!)
= (7 × 6 × 5 × 4!) / (4! × 3 × 2 × 1)
= (7 × 6 × 5) / (3 × 2 × 1)
= 35
Therefore, there are 35 possible flower arrangements that Kate can make with 4 flowers from her collection of 7 different types. The method used to solve this problem is the combination formula, which helps us calculate the number of ways to choose a specific number of items from a larger set.
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3x-3y=-6
3x+y=10 use subtraction please help thank you
need an ordered pair
Answer:
x=2, y=4. (2, 4).
Step-by-step explanation:
3x-3y=-6 implies 3(x-y)=3(-2), so x-y=-2.
-----------------------------
x-y=-2
3x+y=10
---------------
4x=8
x=8/4=2
2-y=-2
y=2-(-2)=2+2=4
The total amount of spending per year, in billions, on pets in a certain country x years after 2000 is given by the following function.
The function for the total amount of spending per year (in billions) on pets in a certain country x years after 2000 is:
S(x) = ax^2 + bx + c
To find the total amount of spending per year on pets in a certain country x years after 2000, we need to determine the specific function S(x), where S(x) represents the spending in billions and x represents the number of years since 2000. The function is a quadratic function of the form S(x) = ax^2 + bx + c, where a, b, and c are constants that need to be found based on given data points or trends in pet spending.
Once the specific function is determined, we can use it to calculate the total amount of pet spending for any year by plugging in the value of x (number of years since 2000) into the function. This will help in understanding and predicting pet spending patterns and trends in that particular country.
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i will give brainliest!!
Answer:
\( \huge{ \boxed{ \sf{70}}}\)
Step-by-step explanation:
\( \underline{ \sf{Given}} : \)
\( \sf{ \angle \:FGJ \: = \: 30° \:, } \: \: \angle \: JGH \: = \: 40° \: , \: \angle \: FGH= x\)
Finding the value of x°
\( \sf{ \angle \: FGH= \angle \: FGJ \: + \: \angle \: JGH\:}\)
Plug the values
\( \mapsto{ \sf{x = 40 + 30}}\)
Add the numbers
\( \mapsto{ \sf{x = 70}}\)
The value of x° is 70°
Hope I helped!
Best regards! :D
~\( \text{TheAnimeGirl}\)