16 POINTS. Find x and y intercepts and show work.
I’m looking for number six.
Answers
y = (x^4 - 3x^3 + 4x)^2
y = x^2(x^3 - 3x^2 + 4)^2
Go to Wolframalpha and put the above equation into the input line.
You see that there are 2 solutions at -1
There are 2 solutions at 0
There are 2 solutions at 2
You know that there are 2 solutions for each because the graph just touches the x axis. I wouldn't both to try and solve this thing using algebra.
that's what the graph would leave you to believe. There are 2 other solutions and they must be imaginary.
Note to moderator. Wolfram dot com just shows graphs. the work is mine and I'm just using a tool to explain my answer.
Related Questions
Which statement about the figure below is true?
Select one:
a. Points A, B, and E are not collinear.
b. Points C, F, B, and E are coplanar.
c. Points F, B, and C are collinear.
d. Points C, D, B, and F are coplanar.
Answers
Which number can each term of the equation be multiplied by to eliminate the fractions before solving? -0.75m-0.5=2+0.25m
-2
-3
-4
-5
Answers
Rewriting we have:
-0.75m-0.5 = 2 + 0.25m
- (3/4) m- (1/2) = 2 + (1/4) m
To eliminate the fractions we must multiply both sides of the equation by -4
-4 * [- (3/4) m- (1/2)] = - 4 * [2+ (1/4) m]
3m + 2 = -8-m
Answer:
Each term of the equation can be multiplied by -4 to eliminate the fractions before solving.
Kendra has $ 7.75 $7.75 in nickels and quarters. if she has 13 13 more quarters than nickels, how many of each coin does she have?
Answers
13 more quarters than nickels
15 nickels = $0.75
28 quarters = $7.00
28 - 15 = 13 coins
$7.00 + $0.75 = $7.75
She has 15 nickels and 28 quarters.
Setting up a system of equations, we find that there is an error in the problem or the information provided.
Explanation:Let's set up a system of equations to solve this problem.
Let's say the number of nickels is x and the number of quarters is y. From the information given in the problem, we can set up two equations:
x + y = 7.75 (since the total value of the coins is $7.75)y = x + 13 (since there are 13 more quarters than nickels)Now we can solve this system of equations. Substituting the second equation into the first equation, we get:
x + (x + 13) = 7.75
Simplifying the equation, we get:
2x + 13 = 7.75
Subtracting 13 from both sides, we have:
2x = -5.25
Dividing both sides by 2, we find:
x = -2.625
Since we can't have a negative number of coins, there must be an error in the problem or the information provided.
Learn more about Solving a system of equations here:https://brainly.com/question/29050831
#SPJ2
What is the volume of a cube with length 7 cm? V = lwh
Answers
Answer:
it is i also took da test
Step-by-step explanation:
Darryl deposits $1,500 into a savings account that has a simple interest rate of 2.7%. Lori deposits $1,400 into a savings account that has a simple interest rate of 3.8%. If no other transactions are made, who will have more money in their account after 10 years? How much more?
Answers
Answer:
Lori will make $27.00 more.
Step-by-step explanation:
The formula to calculate simple interest is
A = P(1+rt)
P = Principal amount
r = rate of interest ( in decimal )
t = time
First we calculate Darryl's deposit, so put the values in the formula
A = 1,500(1 + 0.027×10)
A = 1,500 ( 1+0.27 )
A = 1,500 × 1.27
A = $1905
Now we will calculate Lori's deposit
A = 1,400 ( 1 + 0.038 × 10 )
A = 1,400 ( 1 + 0.38 )
A = 1,400 × 1.38
A = $1,932
Lori will make money after 10 years = $1,932
Darryl will make money after 10 years = $1905
so Lori will make more than Darryl, the difference will be = 1,932 - 1,905 = $27
After 10 years Lori will have make $27.00 more in their account.
Answer:
$27
Step-by-step explanation:
plez give brainliest
The angles of triangle abc are in the ratio of 8:3:4. what is the maesure of the smallest angle
Answers
(05.02 MC)Henry wants to laminate the tabletop in his study room. The tabletop is the shape of an isosceles trapezoid shown here. If laminating costs $4 per square foot, what is the total cost to laminate the tabletop?
Can someone please explain step by step.
Offering all of my points and brainliest answer!!!!!
Please, Please, Please help me out
Answers
Let's separate the trapezoid into 3 shapes. Two triangles, and 1 rectangle.(I included an image of an isosceles trapezoid for reference)
First let's find the area of the triangles. We'll use this equation.a = areab = baseh = heighta = b · h · 0.5a = b · 3 · 0.5
We need to find the base of the triangle. To do this, we'll subtract 6 from 10, which equals 4. 4/2= 2 which is the base of the left and right triangle. Let me know if you're confused by that!!
a = 2 · 3 · 0.5a = 6 · 0.5a = 3The area of both triangles is 3.
Now we need to find the area of the rectangle. We'll use this equation.a = b · ha = 6 · 3a = 18
So the rectangle's area is 18, and both triangle's area is 3.18 + 3 + 3 = 24
Now we need to find the cost. 24 · 4 = 96
The answer is $96.
Hope this helps! :)
Answer:
96
Step-by-step explanation:
Which description compares the vertical asymptote(s) of Function A and Function B correctly?
Function A: f(x)= 1/ x+4
Function B
Both functions have a vertical asymptote at x=−4 .
Function A has a vertical asymptote at x = 1.
Function B has a vertical asymptote at x = 3.
Function A has a vertical asymptote at x = 4.
Function B has a vertical asymptote at x = 2.
Function A has a vertical asymptote at x=−4x=−4 .
Function B has a vertical asymptote at x = 2.
Answers
Function A has a vertical asymptote at x = -4.
The graph B has vertical asymptote is 2.
We have given function
A : f(x)=1/(x+4)
Since the rational function has the vertical asymptote at x=-4 then the denominator of function f(x) contains the term (x+4)
Function B :
What is the vertical asymptote?
A vertical asymptote is is a vertical line that guides the graph of function but is not part of it.
So from the graph we can see that the graph does not pass from the point at x=2
Therefore, the vertical asymptote is 2.
To learn more about the asymptote visit:
https://brainly.com/question/21678319
Which statement decribes the behavior of the function mc010-1.jpg? If you cannot see the Image the function is f(x)= 3x/4-x.
The graph approaches –3 as x approaches infinity.
The graph approaches 0 as x approaches infinity.
The graph approaches 3 as x approaches infinity.
The graph approaches 4 as x approaches infinity.
Answers
Answer: The graph approaches -3 as x approaches infinity will be the correct option which describes the behavior of the function.
Explanation:
Given Function: f(x)= [tex]\frac{3x}{4-x}[/tex]
Now, we divide numerator and denominator by x and we get,
⇒ [tex]f(x)= \frac{3}{4/x-1}[/tex]
If x approaches to infinity.
Therefore, [tex]\lim_{x\rightarrow \infty}f(x)[/tex]
then [tex] f(x)\rightarrow -3[/tex]
Thus, we can say f(x) approaches -3 as x approaches infinity
Answer:
-3
Step-by-step explanation:
A vaccine has 90% probability of being effective in preventing a certain disease. the probability of getting the disease if the person is not vaccinated is 50%. in certain geographic region, 25% of the people get vaccinated. if a person is selected at random , find the probability that he or she will contract the disease
Answers
The probability that someone is vaccinated and contracts the disease is (0.25)(0.1)=0.025 (it is multiplied by 0.1 because if the vaccine is 90% effective, then there is a 10% chance someone that is vaccinated can contract the disease.
Add these together for the total: 0.375+0.025=0.4
There is a 40% chance that someone chosen at random will contract the disease.
Answer:
The probability that someone is vaccinated and contracts the disease is (0.25)(0.1)=0.025 (it is multiplied by 0.1 because if the vaccine is 90% effective, then there is a 10% chance someone that is vaccinated can contract the disease. Add these together for the total: 0.375+0.025=0.4
There is a 40% chance that someone chosen at random will contract the disease.
can anyone help me with this
Answers
See the attachment for the table values.
Obviously, the patterns are similar in that each row is multiplied by some constant to get the next row. They are different in that the constants are different. 2 is used for the left column, so the reward grows less fast than in the right column where 3 is used.
The King's Plan 2 will only be cheaper if the number of squares being filled is less than about 5/8 of the number of squares in the original Plan 1.
Question 5 (3 points) The soccer team is planning to sell health bars for a fundraiser. The prices of purchasing health bars from two different companies are represented by the system of equations shown, where x is the number of bars purchased and y is the total cost in dollars. Company A: y = 0.75x Company B: y = 10 + 0.50x How many bars would the team need to purchase from each company in order for the total cost to be equal?
Answers
In order to find this amount we have to find when the y values are worth the same. Since both equations are equal to y, we can set them equal to each other to find a time when the y values are the same.
Company A = Company B
.75x = 10 + .50x ---> Now subtract .50x from both sides.
.25x = 10 ---> Now divide both sides by .25
x = 40
When x = 40 it will cost $30 from both companies.
the answer is 40 bars hope it helps
The lower base of the frustum shown in the figure is a square 8 ft on each side. The upper base is a square 4 ft on each side. If the altitude is 6 ft, find the slant height. A. 6 ft B. 5.66 ft C. 6.32 ft D. 4 ft
Answers
the answer is the option C 6.32 ft
this answer is based on the fact that the inclined height should be greater than 6 and that is the only option available
If bill rides his bike 3 miles to Fred's house and then walks with Fred the remaining 1 mile to school, it will take him 30 minutes. But if he rides the entire distance, it will take him only 20 minutes. what is his walking and biking speed?
Answers
Final answer:
Bill's biking speed is 12 mph and his walking speed is 4 mph. We find the biking speed from the 20-minute ride distance and solve for the walking speed using the time difference in the 30-minute trip.
Explanation:
The student is asking about calculating walking and biking speeds based on different times to cover distances. To solve this, we'll use the information that Bill takes 30 minutes to ride 3 miles and then walk 1 mile, but only 20 minutes to ride the entire 4 miles to school.
First, we want to find the speed for each part of the trip when Bill takes 30 minutes. Since we know the total time and distances, we can set up two equations using the relationship speed = distance / time. Let's define biking speed as 'b' and walking speed as 'w'.
For the 30-minute trip:
3 miles / b + 1 mile / w = 0.5 hours
For the 20-minute, all biking trip:
4 miles / b = (1/3) hours
From the second equation, we find that b = 4 miles / (1/3 hour) = 12 mph. Substitute 'b' in the first equation:
3 miles / 12 mph + 1 mile / w = 0.5 hours
1/4 hour + 1 mile / w = 0.5 hours
To solve for 'w', we'll subtract the bike time from the total time:
1 mile / w = 0.5 hours - 1/4 hour
1 mile / w = 1/4 hour
So, the walking speed 'w' is 1 mile / (1/4 hour) = 4 mph.
Therefore, Bill's biking speed is 12 mph, and his walking speed is 4 mph.
Solve using substitution
Answers
Isolate x in the first equation. Subtract 3y from both sides
x+3y = 8
x+3y-3y = 8-3y
x = 8-3y
So we can see that x is the same as 8-3y
Now move onto the second equation
3x - 5y = -18
3( x ) - 5y = -18 ... rewrite x so it has parenthesis around it
3( 8-3y) - 5y = -18 ... replace x with 8-3y; solve for y
24-9y - 5y = -18
24-14y = -18
24-14y-24 = -18-24
-14y = -42
-14y/(-14) = -42/(-14)
y = 3
If y = 3, then x is...
x = 8-3y
x = 8-3*3
x = 8-9
x = -1
The x and y values are x = -1 and y = 3
Together they pair up to form the ordered pair (x,y) = (-1,3)
The solution is (-1,3)
If you graph the two original lines, then they cross at (-1,3)
Jane earns $7.50 an hour and time-and-a-half for overtime. How
much does she earn for a 43.5-hour week?
a. $300
b. $363.50
c. $333.75
d. $339.38
ANSWER ASAP AND GET BRAINEST
(answer not c)
Answers
Answer:
339.375 choose d
Step-by-step explanation:
Regular work 40 hours and 3.5 overtime hours
Overtime wage is 1.5 times the regular one
40×7.5+3.5×7.5×1.5=339.375
NEED HELP RIGHT NOW. ASAP!!! PLZ PLZ PLZ HELP ME. YOU WILL GET BRAINLIEST. IF YOU ANSWER FIRST OR IF YOU ARE RIGHT!
Answers
Let's take to heart a important thing to remember, a circle has a sum of [tex]360[/tex]°. So, were going to really brake this down!
[tex]\boxed{x=107/5=21.400}[/tex]
[tex]\boxed{5*x-6-(101)=0} \\ \\ (Solving \ a \ single \ variable \ equation) \\ \\ 5x-107=0 \\ 5x=107 \\ \\ x=107/5=21.400 \\ \\ Hope \ this \ help![/tex]
x= 15
here is the work:
101 +37 = 138
138/2 = 69
5x-6 = 69
add 6 to each side
5x = 75
divide:
x = 75/5
x = 15
David is filling five 3/4 quart bottles with a sports drink.His measuring cup only holds 1/4 quart.How many times will David need to fill tje measuring cup in order to fill the 5 bottels
Answers
How can you express (15 + 30) as a multiple of a sum of whole numbers with no common factor? 2 × (7.5 + 15) 3 × (5 + 10) 5 × (3 + 6) 15 × (1 + 2)
Answers
The sum of 15+30 = 45 and can be expressed as a multiple of prime factors:
(3^2)5
So (15+30) could be expressed as 9*5, but it can not be expressed as a non-repeating multiple of prime factors.
Which solid figure has a base that is a polygon and a triangular faves that meet at a vertex
Answers
where the base is a polygon of 3 or more sides
The explicit rule for a sequence is given.
an=−2n+7
What is the recursive rule for the sequence?
a1=7; an=an−1+2
a1=5; an=an−1−2
a1=−2; an=an−1+7
a1=7; an=an−1−2
Answers
an = -2n +7
means that the value of a1 can be found from
a1 = -2*1 +7
a1 = 5
Only one of the choices matches this condition: the correct one.
The 2nd selection is appropriate.
_____
If you want to actually work the problem, you find a[1] as above. Then, consider
.. a[n+1] = -2*(n+1) +7
.. = (-2n +7) -2 . . . . . . note the stuff in parentheses matches the definition of a[n]
.. = a[n] -2
This is also true for the previous pair of terms:
.. a[n] = a[n -1] -2
So, now you have
.. a[1] = 5
.. a[n] = a[n-1] -2
which matches the second selection.
The recursive rule is: [tex]\(a_1 = 7\); \(a_n = a_{n-1} - 2\)[/tex]. The correct option is D.
Sure, here's the step-by-step solution:
1. Start with the explicit rule for the sequence: [tex]\(a_n = -2n + 7\)[/tex].
2. To find the recursive rule, we need to express [tex]\(a_n\)[/tex] in terms of [tex]\(a_{n-1}\)[/tex], the previous term in the sequence.
3. Replace [tex]\(n\)[/tex] in the explicit rule with [tex]\(n-1\)[/tex] to represent the previous term:
[tex]\[a_{n-1} = -2(n-1) + 7\][/tex]
[tex]\[a_{n-1} = -2n + 2 + 7\][/tex]
[tex]\[a_{n-1} = -2n + 9\][/tex]
4. Since [tex]\(a_n = a_{n-1} - 2\)[/tex], substitute the expression for [tex]\(a_{n-1}\)[/tex] from step 3 into the recursive rule:
[tex]\[a_n = (-2n + 9) - 2\][/tex]
[tex]\[a_n = -2n + 9 - 2\][/tex]
[tex]\[a_n = -2n + 7\][/tex]
So, the recursive rule is [tex]\(a_1 = 7\); \(a_n = a_{n-1} - 2\)[/tex]. Therefore, the correct answer is D.
The correct question is:
The explicit rule for a sequence is given.
an=−2n+7
What is the recursive rule for the sequence?
A. a1=7; an=an−1+2
B. a1=5; an=an−1−2
C. a1=−2; an=an−1+7
D. a1=7; an=an−1−2
How much interest would an account earn if 3,000 is invested at an interest rate of 4.8% compounded semiannually for 2 years
Answers
Total = 3,000 * (1 + .048/2)^2*2
Total = 3,000 * (1.024)^4
Total = 3,000 * 1.0995116278
Total = 3,298.53
Which of the following best describes set of numbers? 6, 9, 12, 15, ... infinite alternating sequence finite geometric sequence infinite arithmetic series infinite arithmetic sequence?
Answers
Answer:
It is an infinite arithmetic sequence
Step-by-step explanation:
we are given a set of numbers:
6,9,12,15,...
As we can see that
9-6=3
12-9=3
15-12=3
So, given set of numbers are a sequence of arithmetic progression with common difference 3 and terms in the sequence are infinite.
Hence, it is an infinite arithmetic sequence
Which of the following is equal to sqrt 50a^6b^7
Answers
To simplify [tex] \sqrt{50 a^{6} b^{7} } [/tex] we use the following identity: for positive values of a and b, [tex] \sqrt{ab}= \sqrt{a} \sqrt{b} [/tex]
That identity allows us to re-write what we are given as [tex] \sqrt{50} \sqrt{ a^6 } \sqrt{b^{7} [/tex]. Let us now consider each of these separately.
Though 50 is not a perfect square it can be written as 25 x 2 and 25 is a perfect square. Thus, we obtain [tex] \sqrt{50}= \sqrt{25} \sqrt{2}=5 \sqrt{2} [/tex]
Next we consider [tex] a^{6} [/tex] which is a perfect square as it is equal to [tex] (a^{3}) (a^{3}) [/tex]. Thus, [tex] \sqrt{a^{6}} = a^{3} [/tex]
Lastly, we consider [tex] b^{7} [/tex] which can be written as [tex](b^{1})( b^{6}) [/tex] and since [tex] b^{6} [/tex] is a perfect square we obtain the following: [tex] \sqrt{b ^{7} } =\sqrt{b ^{1}} \sqrt{b^6} = b^{3} \sqrt{b} [/tex]
Putting that all together we obtain [tex]\sqrt{50 a^{6} b^{7} }=25a ^{3}b ^{3} \sqrt{2b} [/tex]
The width of a rectangular prism is w centimeters. the height is 2 centimeters less than the width. the length is 4 centimeters more than the width. of the volume of the prism is 8 times the measure of the length, find the dimensions of the prism
Answers
w^2 - 2w = 8
w^2 - 2w - 8 = 0
(w-4)(w+2) = 0
w = 4 Or w = -2
However w cannot be less than 0
So w must = 4
Width is 4, height is 2, length is 8
Total Volume =64 which is 8(8).
Which equation can be rewritten as x + 4 = x2? Assume mc006-1.jpg
Answers
we have that
x + 4 = x²
step 1
raise to ^(1/2) both members
(x+4)^(1/2)=(x²)^(1/2)
(+-)√(x+4)=x
but remember that x>0
then
√(x+4)=x
the answer is the option C
Answer:
The answer is C
Step-by-step explanation:
Got it right on edge 2020
Melanie bought 3 adult tickets and 1 children ticket for $38. John bought 3 adult tickets and 2 children tickets for $52. What is the cost of each type of ticket
Answers
Then 3x +y = $38
3x+2y =$52, solving simultaneously
we subtract the two equation,
-y = -14
thus; y =14
to get x we substitute y with 14
3x = 38-14
3x =24
x =8
Therefore, the cost of 1 adult ticket is $8 while the cost of children ticket is $14
The condition of the car and its mileage are important variables to consider when making a decision to buy a used car.
true or false?
Answers
that is true
have a nice day
is the correct answer...................:)
A pair of shoes costs three times as much as a scarf. The total cost of 1 pair of shoes and 1 scarf is $32. If s represents the cost of 1 scarf, which equation could you use to find the cost of 1 scarf?
Answers
I did it on TTM and it was correct ^^
Answer:
3s+s=32
Step-by-step explanation:
There are 190 students taking band, chorus, or both. If there are 180 students taking band and 60 students in both band and chorus, how many students are only in chorus?
70
60
10
120
Answers
The answer would be 10. I know this because I got it right on my assignment. Have a great day!
If there are 180 students taking band and 60 students in both band and chorus, then 180-60=120 students are taking only band.
Now:
120 students are taking band;60 students are taking both band and chorus;190 students in total.Then 190-(120+60)=190-180=10 students are taking only chorus.
Answer: correct choice is C.