(a) Explain how the Fundamental Theorem of Algebra is used to determine the number of roots for
2x^2 + 3x +5
(b) What are the roots of 2x^2 + 3x + 5? Show your work. Explain why you chose the method you used to find
the roots.
Answer:
Answer:
Step-by-step explanation
2x²+3x+5 roots means the zeros
So the method we will use is quadratic formula it's will tell us from the start whether this equation have a real solution no solution or one solution only calculating its discriminant
b²-4ac=3²-4(3)(5)
9-60=-51
If the discriminant is < 0 means the equation have no solution
The student government snack shop sold 32 items this week. for each snack type, what percentage of all snacks sold where of that type
Answer:
0.02 Sorry If it isn't right.
Step-by-step explanation:
What is the anti derivative of f'(x)=19x+15?
Answer:
Part A: [tex]\displaystyle f(x) = \frac{19}{2}x^2 + 15x + C[/tex]
Part B: [tex]\displaystyle f(x) = \frac{19}{2}x^2 + 15x - 5[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Functions
Function NotationCalculus
Differentiation
DerivativesDerivative NotationDifferential Equations
Integration
Integrals[Indefinite Integrals] Integration Constant CIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle f'(x) = 19x + 15[/tex]
Step 2: Find Antiderivative
[Derivative] Integrate both sides: [tex]\displaystyle \int {f'(x)} \, dx = \int {19x + 15} \, dx[/tex][Left Integral] Simplify: [tex]\displaystyle f(x) = \int {19x + 15} \, dx[/tex][Integral] Rewrite [Integration Property - Addition/Subtraction]: [tex]\displaystyle f(x) = \int {19x} \, dx + \int {15} \, dx[/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle f(x) = 19 \int {x} \, dx + 15 \int {} \, dx[/tex][Integrals] Integration Rule [Reverse Power Rule]: [tex]\displaystyle f(x) = 19 \bigg( \frac{x^2}{2} \bigg) + 15x + C[/tex]Simplify: [tex]\displaystyle f(x) = \frac{19}{2}x^2 + 15x + C[/tex]Step 3: Find Particular Solution
Substitute in function value [Function f(x)]: [tex]\displaystyle 87 = \frac{19}{2}(-4)^2 + 15(-4) + C[/tex]Evaluate: [tex]\displaystyle 87 = 92 + C[/tex]Solve: [tex]\displaystyle C = -5[/tex]Substitute in C [General Solution]: [tex]\displaystyle f(x) = \frac{19}{2}x^2 + 15x - 5[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differential Equations
Where is the function increasing?
9514 1404 393
Answer:
A) 1 < x < ∞
Step-by-step explanation:
"Increasing" means the graph goes up to the right. This graph is increasing for values of x greater than 1. (x=1 is a minimum. The graph is decreasing toward the minimum on the left of that value, and increasing from the minimum on the right of that value.)
1 < x < ∞
Answer:
A if your doing prep
Step-by-step explanation:
math
¿Cómo se resuelve este problema? Con explicacion por favor.
El problema esta en el archivo
Answer:
?
Step-by-step explanation:
In the table below, x represents miles traveled and y represents the cost to travel by train. Miles, x Cost, y 2 8.50 5 15.25 8 22.00 12 31.00 What is the y-intercept of this function? 2.25 4.00 6.50 17.13
Answer:
B. 4.00$
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Please help me I believe the answer is b correct me if I’m wrong
Answer:
71°
Step-by-step explanation:
h = 71° ( corresponding angles)
Sun-Li has 10 blue marbles, 3 red marbles, and 17 white marbles. Write each ratio in ALL three forms.
a.) blue marbles to red marbles =
b.) red marbles to white marbles =
c.) red marbles to total number of marbles =
Answer:
a.) 10:3
b.) 3:17
c.) 3:30
Step-by-step explanation:
There is 10 blue marbles, 3 red marbles, and 17 white marbles.
in total there is 30 marbles because 10+3=13 and 13+17=30.
the ratio of blue marbles to red marbles is 10:3 because there is 10 blue marbles to three red marbles.
the ratio of red marbles to white marbles is 3:17 because there is three red marbles to 17 white marbles.
the ratio of red marbles to total number of marbles is 3:30 because there is three red marbles to 30 marbles in total
Which is a different way to express 2(w + 3)?
Answer: 2w+6
Step-by-step explanation: Here you distribute. Simply multiply 2 and w which would get you 2w and 2 by 3 which would get you 6.
Evaluate the expression when a = 4 and c = -4. -a +2c
Answer:
-12
Step-by-step explanation:
what is this graph in equation form
Answer:
A linear graph
Which systems have infinite solutions? Check all that apply. y = 0.5x + 2.75 and 2y = x + 2.75 y = 0.5x + 2.75 and y – 0.5x = 2.75 y = 0.5x + 2.75 and 0.5x + y = 2.75 y = 0.5x + 2.75 and y = 0.5(x + 5.5) y = 0.5x + 2.75 and y = –2(–0.25x )+ 2.75
Answer:
Three solutions
Step-by-step explanation:
Infinite solutions means each and every point satisfies both the equations which means there would be a graph that overlaps the original graph.
So compare the equations with the equation
y = 0.5x + 2.75
each and every equation in this form has infinitely many solutions like
y = 0.5x + 2.75 and y - 0.5x = 2.75 these both equations are same. So they have infinitely many solutions as they overlap each other. Furthermore
y = 0.5x + 2.75 and y = 0.5(x + 5.5)
y = 0.5x + 2.75 and y = –2(–0.25x )+ 2.75
all these 4 equations are the same which is y = 0.5x + 2.75 so three systems have infinite solutions we can confirm this by using the desmos online graphing calculator just insert these equations into it and you will see all these equations are the same just like for example
y = 2x and 2y = 4x
Answer: B, D, and E.
Step-by-step explanation: On Edge!!!!!!!!!!!!!!!
hi guys its me addison ray shawty the baddest
Answer:
but she got away
Step-by-step explanation:
Answer:
Obviously, these lyrics are very heartfelt to me ;p
Step-by-step explanation:
Because I am Addison rae...
-16 + (unknown) = -6
Answer:
10
Step-by-step explanation:
Pls can y’all tell me how many points will Tessa have scored in all ?
Answer: 48 points
Step-by-step explanation:
i hope this helps
Total sales is $55,000.
The commission is 3.5%.
Determine the commission .
Answer:
The commission is 1925
Step-by-step explanation:
This is because you are taking 3.5% of $55,000. After doing the percent you are left with $1925 which is the commission.
Hope I helped, Have a great day! :-)
The commission of the total sales of $55000 will be $1925.
What is the percentage?A specific number in every hundred is what is meant by the percentage. The percentage symbol percent is used to denote a fraction with 100 as the denominator.
The percentage is just like the amount of that value but between 1 to 100 and it is very useful to predict for example if you say 678 then we have to know about the full number also but if you say 80% then it becomes clear.
The percentage is also called the indicating hundredths. Thus, 3% is two-hundredth, which means 3%=3/100=0.03.
Principle amount = $55000
Commision rate = 3.5%
3.5% of 55000 = (3.5 × 55000)/100
3.5% of 55000 = $1925
Hence the 3.5% commission of the amount of $55000 will be $1925.
For more about the percentage
brainly.com/question/13450942
#SPJ2
There are 4 stars 4 green circles and 7 red circles what's the ratio of blue stars to red circles
Answer:
4 to 7 *maybe
Step-by-step explanation:
Compute the probability of Carl turning 44 years old (event A), given that Susan has reached the age of 44 (event B).
Answer:
Events A and B are independent of each other, so it would be 0.95726
Step-by-step explanation:
are the triangles congruent ? if they are state how they are congruent .
Answer:
Step-by-step explanation:
Not congruent
Better to say that there is not enough information to say, "Triangles are congruent"
Can you helps me put them into each category you can just say the first one is blank and so on
Answer:
1st: parallel
2nd: perpendicular
3rd: neither
4th: neither
5th: neither
6th: parallel
Step-by-step explanation:
John saved $50,000. and wants to put the money into an Index Annuity that pays an average of 8.4% per year, compounded semi-annually. How long will it take him to reach his goal of $1,000,000?
Answer:
Divide 50,000 by 8.4...get that number and add it to the 50,000, divide again by 8.4 and add back, repeat until you reach 1,000,000... happy adding
6:what=1:3 what:30=8:5
Answer:
x = 18 and x = 36
Step-by-step explanation:
let unknown value is x
6:x = 1:3
product of means = product of extremes
6*3 = 1 *x
18 = x
x:30=8:5
product of means = product of extremes
5x=180
x=180/5
x=36
Let f(x) = x^2 - 2 and h(x) = x - 1;
compute h(f(2))
Answer:
1
Step-by-step explanation:
2^2-2=2
2-1=1
hopefully you will find it helpful
Help me with this someone, please!
Answer:
-45 I think
Step-by-step explanation:
6 × (-7) - 3
-42 - 3
-45
Sorry if this is wrong
Help me find the equation of the line please need it now
Giving extra points
Correct answer only
Answer:
Step-by-step explanation:
If AB ⊥ CD, then [tex]m_{AB}[/tex] [tex]m_{CD}[/tex] = - 1
P( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )
~~~~~~~~~~~~~~~~
y = - 2x + 6 and P(3, 3) , m = - 2
Slope of ⊥ line is [tex]\frac{1}{2}[/tex]
y - 3 = [tex]\frac{1}{2}[/tex] ( x - 3 )
y = [tex]\frac{1}{2}[/tex] x + [tex]\frac{3}{2}[/tex] or y = 0.5x + 1.5
Does anybody know this??????
Sarah needs to find a plumbing company to fix the plumbing in her house. Pat’s Plumbing Company charges a flat rate of $650 to inspect the house plus $25.75 per hour of labor to fix the problem. Her friend Kristin tells her that AAA Plumbing will charge a fee on $675 to inspect the house and an hourly fee of $24.50 for labor. Kristin knows that AAA Plumbing will cost no more than Pat’s Plumbing Company. Which inequality correctly shows the relationship between the total cost of the two plumbing companies?
Answer:
An inequality correctly shows the relationship between the total cost of the two plumbing companies is [tex]675+24.5x \leq 650+25.75x[/tex]
Step-by-step explanation:
Pat’s Plumbing Company
Cost of inspecting house = $650
Cost of labor per hour = $25.75
Cost of labor in x hours = 25.75x
Total cost = 650+25.75x
AAA Plumbing
Cost of inspecting house = $675
Cost of labor per hour = $24.50
Cost of labor in x hours = 24.5x
Total cost = 675+24.5x
We are given that AAA Plumbing will cost no more than Pat’s Plumbing Company
[tex]675+24.5x \leq 650+25.75x[/tex]
Hence An inequality correctly shows the relationship between the total cost of the two plumbing companies is [tex]675+24.5x \leq 650+25.75x[/tex]
Answer:
carlo scored 65 out of 100 item in math. what percent of the test did he get correctly
A is plotted on a coordinate grid at (-3 1/2,1) choose the correct grid that best shows the location of the point
Hi there! Please provide the graphs in the question so that I can determine which is the right one.
Answer is c
Step-by-step explanation:
c
Tia picked 56 ounces of blueberries. She used 8 ounces to make muffins and packed the remaining blueberries into 12-ounce packages. Which expression can be used to find the greatest number of packages of blueberries that Tia packed? ;-;
Answer:
4.25
Step-by-step explanation:
please help it’s due today
Answer:
-3
Step-by-step explanation:
1 - 4 = -3
2 - 1 = 1
(-3) / 1 = (-3)