Answer:
a = 3
b = -6
-b/2a = 1
The vertex is (1, 10)
differentiate with respect to x (6-2x)^3
Answer:
- 6(6 - 2x)²
Step-by-step explanation:
using the chain rule
[tex]\frac{dy}{dx}[/tex] = [tex]\frac{dy}{du}[/tex] × [tex]\frac{du}{dx}[/tex]
let y = (6 - 2x)³
let u = 6 - 2x , then y = u³
[tex]\frac{du}{dx}[/tex] = - 2 and [tex]\frac{dy}{du}[/tex] = 3u²
then
[tex]\frac{dy}{dx}[/tex] = 3u² × - 2 = - 6(6 - 2x)²
a box contains 7 red balls and 2 blue balls. how many more blue balls do you need to add to the box to make the probobility of pulling a red ball 0.5
A) 2
B) 3
C) 4
D) 5
E) None Of The Above
Using the probability concept, the number of blue balls you need to add is:
D) 5.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
A probability of 0.5 is reached if the number of red balls is the same as the number of blue balls. Current the difference is of 7 - 2 = 5, hence 5 blue balls must be added.
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ1
Use a graphing calculator or other technology to write the quadratic equation that best fits the data set. X 0 -1 -2. y 3 -3 -5
The quadratic equation of the data is y = 7x^2 + 13x + 3
How to determine the quadratic equation?The table of values is given as:
X 0 -1 -2.
y 3 -3 -5
When the above values are added to the graphing calculator, we have the following summary
a = 7
b = 13
c = 3
A quadratic equation is represented as:
y = ax^2 + bx + c
So, we have:
y = 7x^2 + 13x + 3
Hence, the quadratic equation of the data is y = 7x^2 + 13x + 3
Read more about regression at:
https://brainly.com/question/25987747
#SPJ1
is {{-12,8),(-15,8),(-5,8),(-12.8}} a function
Answer:
Yes. {(-12, 8), (-15, 8), (-5, 8)} is function because there is no overlap in the x values.
Perform the indicated operation 7 1/8×5 2/3
Answer:
40 3/8
Step-by-step explanation:
You can just multiple it on calculator, which 1/8 is 0.125 so convert 40.375 to 40 3/8
By the way, there's already answer to this question.
https://brainly.com/question/1968064
Which set of ordered pairs could be generated by an exponential function?
The set of ordered pairs that could be generated by an exponential function is; C: (-1,1/2), (0, 1), (1, 2), (2, 4)
How to find the ordered pairs?An exponential function is represented by the general form;
y = abˣ
The above equation means that the value (0, 0) cannot be an ordered pair in an exponential function.
The highlight above means that, the options A, B and D cannot generate an exponential equation because they contain the point (0,0).
Thus, the set of ordered pairs that could be generated by an exponential function is option C: (-1,1/2), (0, 1), (1, 2), (2, 4)
The missing options are;
A. (-1,-1/2), (0, 0),(1,1/2), (2, 1)
B. (–1, –1), (0, 0), (1, 1), (2, 8)
C. (-1,1/2), (0, 1), (1, 2), (2, 4)
D. (–1, 1), (0, 0), (1, 1), (2, 4)
Read more about Ordered Pairs at; https://brainly.com/question/2480550
#SPJ1
Which equation is equivalent to StartRoot x EndRoot + 11 = 15?
x + 11 = 225
x + 121 = 225
StartRoot x EndRoot = 15 + 11
The equivalent expression of [tex]\sqrt x + 11 = 15[/tex] is [tex]\sqrt x = 15 - 11[/tex]
How to determine the equivalent expression?The complete question is in the attached image
The expression is given as:
[tex]\sqrt x + 11 = 15[/tex]
Subtract 11 from both sides of the equation
[tex]\sqrt x + 11 - 11= 15 - 11[/tex]
This gives
[tex]\sqrt x = 15 - 11[/tex]
Hence, the equivalent expression of [tex]\sqrt x + 11 = 15[/tex] is [tex]\sqrt x = 15 - 11[/tex]
Read more about equivalent expression at:
https://brainly.com/question/4344214
#SPJ1
give answer please too hard to solve
Answer:
see explanation
Step-by-step explanation:
to evaluate f(a) substitute x = a into f(x)
f(a) = 5a + 4
---------------------
2f(a) = 2(5a + 4) = 10a + 8
-----------------------
to evaluate f(2a) substitute x = 2a into f(x)
5(a + 2) + 4 = 5a + 10 + 4 = 5a + 14
--------------------------
f(a) + f(2) ← substitute x = 2 into f(x)
= 5a + 4 + 5(2) + 4 = 5a + 4 + 10 + 4 = 5a + 18
What are the sums? Complete the equations. 12 +15= -12+(-15) = help 36 points
A summation, also called a sum, is the result of arithmetically adding numbers or quantities. A summation always contains a whole number of terms. There can be as few as two terms, or as many as a hundred, a thousand, or a million. Some summations contain infinitely many terms.
12 + 15= 27
-12 + (-15)= -12 -15
= -27
☆...hope this helps...☆
_♡_mashi_♡_
6m + 2 - 4m =
help with this please
The answer is: 2(m+1)
First combine like terms.
we do 6m-4m which is 2m
2m+2=?
Second we factor. We notice that both terms have 2.
2(m+1)
by distributive law, the 2 is distributed to m and 1.
f Tanisha has $ 1,000 to invest at 5 % per annum compounded , how long will it be before she has $1,400 ? If the compounding is continuous, how long will it be?
Question content area bottom
Part 1
Compounding , it will be about
enter your response here years before Tanisha has $1,400.
With annual compounding, the number of years for 1000 to become 1400 is 6.7 years
With continous compounding, the number of years for 1000 to become 1400 is 1.35 years
How long would it take $1000 to become $1,400?With annual compounding, the formula that would be used is:
(In FV / PV) / r
Where:
FV = future value PV = present value r = interest rate(In 1400 / 1000) / 0.05 = 6.7 years
With continous compounding, the formula that would be used is:
(In 1400 / 1000) / (In e^r)
Where r = interest rate
((In 1400 / 1000) / (In e^0.05) = 1.35 years
To learn more about how to determine the number of years, please check: : https://brainly.com/question/21841217
#SPJ1
The following table shows the cost of 4 party favor packs. For example, the Slinky costs $9 for a pack of 5. Which toy pack has a cost of $2.50 per toy
Answer:
yo-yo cost 2.50 dollar because if we divide 15 and 6 the answer will be 2.50
Compare the monthly payments and total loan costs for the following pairs of loan options. Assume that both loans are fixed rate and have the same closing costs. You need a $200,000 loan Option 1 a 30-year loan at an APR of 10% Option 2 a 15-year loan at an APR of 9.5%. Find the monthly payment for each option. The monthly payment for option 1 is S The monthly payment for option 2 is S (Do not round until the final answer Then round to the nearest cent as needed) Find the total amount paid for each option The total payment for option 1 is S The total payment for option 2 is S (Use the answers from the previous step to find this answer Round to the nearest cent as needed) Compare the two options Which appears to be the better option? OA Option 2 will always be the better option B. Option 1 is the better option, but only if the borrower plans to stay in the same home for the entire term of the loan OC. Option 1 will always be the better option OD. Option 2 is the better option, but only if the borrower can afford the higher monthly payments over the entire term of the loan 0
The monthly payment for option 1 is $1755.144 and option 2 is $2088.97, total amount for option 1 is $631851.84 and option 2 is $376014.6, and on comparing option 2 will be better option.
Given that for $200,000 loan Option 1 is a 30-year loan at an APR of 10% Option 2 is a 15-year loan at an APR of 9.5%.
A concept that implies that the future value of money will be lower than its present value due to several factors such as inflation is known as TVM(time of value money).
Monthly Payments
Option 1
Loan Amount = $200,000
Number of payments = 30×12 = 360
Monthly interest rate = 10%/12 = 0.008333333
Monthly payment = Loan amount (1+ monthly interest rate)ⁿ×monthly interest rate/[(1+monthly interest rate)ⁿ- 1]
Monthly payment=200,000×(1+0.008333333)³⁶⁰×(0.008333333)/[(1+0.008333333)³⁶⁰-1]
Monthly payment=33062.328/18.83739
Monthly payment=$1755.144
Option 2
Loan Amount = $200,000
Number of payments = 15 x 12=180
Monthly interest rate = 9.5%/12=0.00792
Monthly payment = 200,000(1+0.00792)¹⁸⁰(0.00792)/[(1+0.00792)¹⁸⁰-1]
Monthly payment=6553.096/3.137
Monthly payment=$2088.97
Total Payments
Option 1
As we've found out the monthly payments, we now need to multiply it by the number of months.
$1755.144×360 = $631851.84
Option 2
$2088.97×180 = $376014.6
Conclusion
Option 2 will always be the better option economically as it saves $255837.24 ($631851.84 - $376014.6) in total payments.
Hence, For $200,000 loan Option 1 a 30-year loan at an APR of 10% Option 2 a 15-year loan at an APR of 9.5% is the monthly payment for option 1 is $1755.144 and option 2 is $2088.97, total amount for option 1 is $631851.84 and option 2 is $376014.6, and on comparing option 2 will be the better option.
Learn more about monthly cost from here brainly.com/question/1476828.
#SPJ1
Find A when p= 2000, r= 7%, n= 4, and t= 4
A=prt
A=2000×7%×4
=560
Mal works at a photo gallery. He charges $50 for a large photo and $40 for a large frame. Sales tax is 5%. How much total tax will a customer pay on both?Answer the questions to show how to write and simplify expressions that represent the problem
1. One way to calculate the total tax is 0.05(50 + 40). Use the order of operations to evaluate this expression. Show your work. (2 points)
Answer:
$4.50
Step-by-step explanation:
Okay so, first add both.
50+40 is 90, then multiply 90 by the tax percent which is
90x5%=4.5
If expression then,
x=money that they have to pay.
5%(50+40)=x (the original)
btw there's already a question like this :
brainly.com/question/19455247
- Save & Exit Practice Lesson: 8.5 Applications: Interest and Mixt...
Answer
How to enter your answer (opens in new window)
Tutor
4/8
Correct
Question 6 of 8. Step 1 of 1
G
Lydia has money in two savings accounts. One rate is 6% and the other is 12 %. If she has $500 more in the 12 % account and the total interest is $375, how much is
invested in each savings account?
Send to Instructor
at 6%
at 12%
4
CLARISSA HANEY
Skip
1
Incorrect
Try Similar
Keypad
Keyboard Shortcuts
Submit Answer
Answer:
16y1yg1gyyq717177171716161yggqg1g2y2gqgq62g2gtqy2g
1jwjqhwhwjmnbhokmbhiknb
Write the equation for the following relation. D = {(x, y ): (3, 9), (5, 25), (-2, 4), . . .}
The equation for the given relation is a quadratic equation:
[tex]y = x^2[/tex]
How to write an equation for the given relation?
Here we have the relation:
D = {(x, y); (3, 9), (5, 25), (-2, 4), ...}
Notice that for each coordinate point, we can see that the output is equal to the square of the input:
[tex]3^2 = 9\\5^2 = 25\\(-2)^2 = 4[/tex]
Then the equation is just:
[tex]y = x^2[/tex]
If you want to learn more about quadratic equations:
https://brainly.com/question/1214333
#SPJ1
If p is the probability of success of a binomial experiment, then the probability of failure is what?
Answer:
1 - p
Step-by-step explanation:
1 - p
A(-3,-2), B(12, 3); 3 to 2
Answer:
(6, 1)
Step-by-step explanation:
The formula for dividing segment AB into parts in the ratio M:N is ...
P = (M·B +N·A)/(M+N)
ApplicationUsing the above formula with the given values, we have ...
P = (3(12, 3) +2(-3, -2))/5 = (36 -6, 9 -4)/5 = (30, 5)/5
P = (6, 1)
The point P that divides segment AB into parts in the proportion 3:2 is ...
P = (6, 1)
Question 19 (5 points)
14
8
M
49
28 T
Determine if the two triangles shown are similar. If so, write the similarity
statement.
OA) AVML-AUMT
B) The triangles are not similar.
C) Impossible to determine.
D) AVML-AUTM
Question 20 (5 points)
Saved
Answer:
In question 20
B) the triangles are not similar
Step-by-step explanation:
u can see that 1 triangle length is 14 and other 49 and one triangle breath is 8 and other 28 so how they are same
Answer:
IN question 19
what is your question I can't understand
50 points will give brainliest
The x-coordinates of the vertices of the hyperbola are 11 and -11
How to determine the x-coordinates?The hyperbola is given as:
[tex]\frac{x^2}{121} - \frac{y^2}{49} = 1[/tex]
A hyperbola is represented as:
[tex]\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1[/tex]
Where the coordinate of the vertex is:
Vertex = (±a, 0)
By comparing the above equations, we have:
[tex]a^2= 121[/tex]
Take the square of both sides
a = 11
Substitute 11 for a in Vertex = (±a, 0)
Vertex = (±11, 0)
Hence, the x-coordinates of the vertices of the hyperbola are 11 and -11
Read more about hyperbola at:
https://brainly.com/question/26250569
#SPJ1
A coin is flipped 10 times where each flip comes up either heads or tails. How many possible outcomes
a. Contain no heads?
b. Contain exactly three heads?
c. Contain at least three heads?
d. Contain more heads than tails?
Answer:
a.1
b.10
c.120
Step-by-step explanation: don't know that last one
You want to place stone pavers around the edge of your concrete patio. The patio is 12 ft wide by 14 ft long and each stone paver is 14 inches long . How many stone pavers will you need to go around the patio (not counting the side against the house which is 14 ft long)? (round to the nearest whole number )
The number of stone pavers needed to go round the patio is 3.
What is the number of stone pavers needed to go round the patio?The first step is to determine the perimeter of the concrete patio.
Perimeter : 12 + 12 + 14 = 38 feet
Number of stone pavers needed to go round the patio : perimeter of the patio / length of each stone paver
38 / 14 = 3
To learn more about the perimeter of a rectangle, please check: https://brainly.com/question/3205029
#SPJ1
f r(x) = 3x – 1 and s(x) = 2x + 1, which expression is equivalent to (StartFraction r Over s EndFraction) (6)?
The equivalent expression to [tex]\mathbf{(\dfrac{r}{s})(6)= \dfrac{17}{13}}[/tex]
What are the equivalent expressions?Equivalent expressions are similar expressions that may have different forms but when a value is replaced with the variables in the same form provides the same answer.
From the information given, If:
r(x) = 3x - 1s(x) = 2x + 1Then the fractional form can be an expression as:
[tex]\mathbf{(\dfrac{r}{s})(x)= \dfrac{3x-1}{2x+1}}[/tex]
where;
x = 6[tex]\mathbf{(\dfrac{r}{s})(6)= \dfrac{3(6)-1}{2(6)+1}}[/tex]
[tex]\mathbf{(\dfrac{r}{s})(6)= \dfrac{18-1}{12+1}}[/tex]
[tex]\mathbf{(\dfrac{r}{s})(6)= \dfrac{17}{13}}[/tex]
Learn more about equivalent expressions here:
https://brainly.com/question/24734894
#SPJ1
If f(x) = 10 – x2 and g(x) = 3f (x) – 8, then which of the following is the value of g(-2)?
Answer:
10
Step-by-step explanation:
g(x) = 3(10-x^2)-8=>30-3x^2-8=>-3x^2+22
then substitute -2 in x
-3(-2)^2+22
-3(4)+22=-12+22=10
expand (x-4)^5 using the binomial theorem and pascal’s triangle show all necesssry steps
The binomial expansion of the [tex](x-4)^5[/tex] is [tex]x^5+20x^4+160x^3+640x^2+1280x+1024[/tex]
According to the statement
we have given that a equation and we have to expand it by use of the binomial theorem.
So, For this purpose we know that the
A binomial theorem, statement that for any positive integer n, the nth power of the sum of two numbers a and b may be expressed as the sum of n + 1 terms of the form.
And the general formula is
[tex](x+y)^n= ^nC_0x^ny^0+^nC_1x^(n-1)y^1+^nC_2x^(n-2)y^2+...+^nC_nx^0y^n[/tex]
And we have to solve it with the given equation (x-4)^5.
Then
[tex](x-4)^5=x^5+20x^4+(20)/(2)x^3(4^2)+(60)/(6)x^2(4)^3+(120)/(24)x^1(4)^4+(120)/(120)x^0(4)^5[/tex]
Now after solving the equation become
[tex](x-4)^5=x^5+20x^4+160x^3+640x^2+1280x+1024[/tex]
So, The after expanding the given statement with the binomial theorem the result output is
[tex](x-4)^5=x^5+20x^4+160x^3+640x^2+1280x+1024[/tex]
So, The binomial expansion of the [tex](x-4)^5[/tex] is [tex]x^5+20x^4+160x^3+640x^2+1280x+1024[/tex]
Learn more about binomial expansion here
https://brainly.com/question/13672615
#SPJ1
Convert 5x/3 to degrees.
The correct answer is a right?
We can see that a and b are parallel, and c and e are parallel, so the correct option is E.
Which line must be parallel?
On the diagram, we can see that the angles in the third quadrant of the intersections between a and c, and the intersections between b and c, are the same angle.
Then, lines a and b must be parallel.
For the intersections with line d, we can see that this time the angle is on the fourth quadrant, so c and d are not parallel.
Finally, for line e, we can see that the known angle is on the first quadrant.
Notice that the angle on the first quadrant will be equal to the angle on the third quadrant.
So for the intersections of a and e, and b and e, on the third quadrant we have the known angle (the same one as in the intersections of a and c, and a and b).
Then c and e are parallel.
Then A and C are true.
Thus, the correct option is E.
If you want to learn more about parallel lines:
https://brainly.com/question/24607467
#SPJ1
Find the remainder when f(x)=2x^3-x^2+x+1 is divided by 2x+1
Answer:
0
Step-by-step explanation:
By the remainder theorem, this is the same as finding f(-1/2), which is equal to 0.
Find the value of x. Round to the
nearest tenth.
X
26
12
X
x = [?]
Answer:
Step-by-step explanation:
This is classic right triangle trig, cos specifically. Our reference angle is the one marked 26°, the hypotenuse is given as 12, and the side adjacent to the reference angle is our unknown. This is the cosine ratio. Setting up to solve for x:
[tex]cos26=\frac{x}{12}[/tex] and
12cos(26) = x Plug this into your calculator in degree mode to get that
x = 10.8