Answer:
P(x)= x^3 - 4x^2 + 16x - 64
Step-by-step explanation:
First, let’s find all of the zeroes. If the question is asking for a degree 3 polynomial, than there has to be more than 2 zeroes. The complex conjugates theorem states that if a+bi is a zero, than a-bi has to be a zero as well. So if 4i is a zero, than -4i has to be a zero as well. By looking at the zeroes, you can write them as a linear factorization.
(x-4)(x+4i)(x-4i)
If you foil all of it, you will get x^3 - 4x^2 + 16x - 64.
Solve the following equation algebraically: 3 x squared = 12 a. Plus-or-minus 3 b. Plus-or-minus 2 c. Plus-or-minus 3.5 d. Plus-or-minus 1.5
Answer:
b) ±2
Step-by-step explanation:
3x² = 12
divide each side by 3 to get:
x² = 4
x = ±2
The value of the equation 3x² = 12 is x = ±2.
Option B is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x = 6 is an equation.
We have,
3x² = 12
Divide 3 on both sides.
x² = 4
x = ±√4
x = ±2
Thus,
The value of x is ±2.
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The graph shows the number of possible passengers for a given number of roller coaster cars that leave the platform. Complete parts a and b.
m = 24 - [?] / [?] - 2 = [?]/1
y = [?]x
The linear equation is y = 8x and the slope of the graph is 8
A linear equation is in the form:
y = mx + b;
where y, x are variables, m is the rate of change and b is the initial value of y.
Using the points (2, 16) and (3, 24):
[tex]slope(m)=\frac{24-16}{3-2}=8[/tex]
Hence the linear equation is y = 8x
Find out more on linear equation at: https://brainly.com/question/14323743
pls answer
a line has a slope of 19/9 and passes through the point (0,15). what is its equation in slope-intercept form?
Hey there!
We are given the slope of the line: 19/9.We are also given one of the points that the line passes through.Using this information, we can find the equation of the line.First, let's recall the Point-Slope formula:y-y1=m(x-x1)Plug in the given values:y-15=19/9(x-0)y-15=19/9xy=19/9x+15Therefore, the equation is: [tex]y=\frac{19}{9} x+15[/tex] :)Hope this helps. Use the comment section to clarify your doubts.
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helppp pleaseeeeee I don’t understand
Answer: x=32, y=45, z=45
Step-by-step explanation:
Now, x is cut in half on a flat plane which is a supplementary angle (2 angles that add up to 180 degrees) so just subtract 148 from 180 and you get 32.
Since a line cuts y and z equally in half and the line it is connected to is perpendicular (right angle), we can safely say both angles are equal to 45 degrees.
what is 4 + 3i^2 and is it real or imaginary?
Answer:
4+6i
Step-by-step explanation:
Distribute the 2 to the 3i
You get 6i, you can't add 4 to 6i because 4 is real and 6i is imaginary.
It's a complex imaginary number
Real
[tex]\\ \sf\longmapsto 4+3i^2[/tex]
i^2=-1[tex]\\ \sf\longmapsto 4+3(-1)[/tex]
[tex]\\ \sf\longmapsto 4-3[/tex]
[tex]\\ \sf\longmapsto 1[/tex]
c(n)=-6+5(n-1) Find the 8th term in the sequence
Answer:
-7
Step-by-step explanation:
c(8)=-6+5x7
c(8)=-1x7
c(8)=-7
Twelve is sixteen less than four times a number. Write it as a mathematical statement.
Answer:
12=4x-16
x would represent the unknown number.
Please answer 1 and 2
Will mark brainliest!!!!
Answer:
1. No they are not parallel
2. no they are not perpendicular
Step-by-step explanation:
1. the slope for p is 5/2 mean while the slope for o is 4/2 therefore they are not parellel because the slopes are different
2. the slope for m is 2/1 and the slope for k is 3/5. inorder for them to be parelle for slope for k would have to be -1/2 and m would be 2/1 OR the slope for k would be 3/5 and the slope for m would be -5/3
What’s the missing angle of 121 and 29
Answer:
I am going to guess that shape you are trying to find is an triangle
30˚
Step-by-step explanation:
A triangle angle is 180˚
So add 121 and 29
Which is 150
180 - 150 which is 30
So the missing angle is 30˚
Hope this helps!
Alberto and Kali are selling fruit for a school fundraiser. Customers can buy small boxes of tangerines and large boxes of tangerines. Alberto sold 1 small box of tangerines and 1 large box of tangerines for a total of $25. Kali sold 3 small boxes of tangerines and 9 large boxes of tangerines for a total of $165. What is the cost each of one small box of tangerines and one large box of tangerines?
please help, will give brainliest.
Answer:
s =$10, l = 15, together they are $25
Step-by-step explanation:
Alberto: 1s + 1l = 25
Kali: 3s + 9l = 165
Multiply Alberto x 3: 3s + 3l = 75
Subtract from Kali:
3s + 9l = 165
- 3s + 3l = 75
6l = 90
l = 15, Large = $15.
Substitute into one of the equations: s + l = 25
s + 15 = 25
s = 10
How here we get 2 x 22 x 10
And how we multiply the formula of pi with any number
Answer:
The formula of pi is approximately 3.14 2×3.14
I need help with this
Answer:
If the bottom is 14 it's 6 and 8
a spidere traveled 20 feet in 12 minutes. at this rate, how far could it travel in 3 minutes
Answer:
Spider travel in [tex]5ft[/tex] in 3 minutes
Step-by-step explanation:
A spider traveled 20 feet in 12 minutes.
Speed of spider is
[tex]\frac{20}{12} =\frac{5}{3} ft/min[/tex]
Now we need to find how far could it travel in 3 minutes
Distance
[tex]=3\times\frac{5}{3} \\\\=5ft[/tex]
Now that Yardley Auto Repair has a different owner, its mechanics make $35 per hour. That is 25% more than they originally made. How much did the mechanics use to make per hour?
Answer:
Step-by-step explanation:
So the Yardley people got a raise! Hurray! They make ALL that they made before and a little bit more.
Let x = original pay
100% of x is what they made before.
25% of x is the amount of raise they got.
100% of x should be written 1x, or just x (convert the % to a decimal)
25% of x should be written .25x
So a math sentence that says their original pay plus their raise is now $35 would be written
1x + .25x = 35
Combine the x terms.
1.25x = 35 Now divide both sides by 1.25 to get the x all by itself.
1.25x/1.25 = 35/1.25
x = 28 Remember what x stood for? x is the original pay. The mechanics used to make $28 per hour.
Trevor paid a total of $1.08 in fines for an overdue library book. If the penalty for overdue books is $0.09 per day, how many days late was the book?
2 days
8 days
12 days
20 days
Answer:
12
Step-by-step explanation:
You have to divide the total by the number per day to solve this problem.
1.08/0.09=12
Adam has $87.14. He has 10 bills and 19 coins how ? Explain how you solved it .
Answer: $42
Step-by-step explanation:
Costco is selling boxes of pomegranates for $18.99. if a box contains 6 pomegranates, what is the cost of one pomegranate?
Answer:
$113.94
18.99 multiplied by 6 is 113.94
Rosy went to the shoe store and counted 324 pairs of shoes. She went to another shoe store and counted 236 pairs. How many shoes did Rosy count in total.
Answer:
560
Step-by-step explanation:
Rosie counts 324 + 236 shoes
Let's start by separating each number into hundreds, tens, and ones
300, 20, 4
200, 30, 6
Then, we can add up each section
300 + 200 = 500
20 + 30 = 50
4 + 6 = 10
Finally, we can add up the sections
500 + 50 + 10 = 560
Which inequality is graphed below
There is a line that includes the point (8,3) and has a slope of 1. What is its equation in slope-intercept form?
Answer:
y=x-5
Step-by-step explanation:
y-y1=m(x-x1)
y-3=1(x-8)
y-3=x-8
y=x-8+3
y=x-5
Solve the equation below for q.
V=1/4xq
Answer:
q=4v/x
Step-by-step explanation:
What is the equation of this line in slope-intercept form?
(-1,5) (1,-1)
Answer:
y=-3x+2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-5)/(1-(-1))
m=-6/(1+1)
m=-6/2
m=-3
y-y1=m(x-x1)
y-5=-3(x-(-1))
y-5=-3(x+1)
y=-3(x+1)+5
y=-3x-3+5
y=-3x+2
okay what is 14.45 rounded to the nearest whole number
Answer:
14
Step-by-step explanation:
When rounding, 5+ you round up. below that, you round down.
Sally can paint a room in 7 hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the room if they worked together?
Answer:
2 hours
Step-by-step explanation:
Answer:
2 hours
Step-by-step explanation:
Let x represent the time it takes together. Per hour the Equalizer
1/3hr + 1/8hr = 1/x Multiplying each term by 24x so as all denominators = 1
8x + 3x = 24
11x = 24
x = 2.18 hrs, the time it takes them together
3 3/8 divided by 1 1/4
Answer:
Step-by-step explanation:
3 3/8 changes to 27/8 because we multiply 3*8=24 and then add 24 to 3 = 27
same thing for 1 1/4
and then while dividing we flip the left hand side meanig 5/4 becomes 4/5 and division changes to multiplication
PLS HELP WILL MARK YOU BRAINLIEST!!
No fake answers pls
Answer:
1. =
Step-by-step explanation:
1.
R.H.S
5.2 + 5.a
(now taking 5 common)
5(2+a)
The world population is about 7.8 billion people now and the population grows at an annual rate of 1.1%. What will the population be in 2031?
Answer:
8.58 billion people
Step-by-step explanation:
7.8
1.1
78
78
858 place the decimal where it should be to get 8.58
Tell which line contains each point for triangle ABC.
the circumcenter
the orthocenter
the centroid
the incenter
5. The line that contains the circumcenter in ΔABC is: line k.
6. The line that contains the orthocenter in ΔABC is: line m.
7. The line that contains the centroid in ΔABC is: line l.
8. The line that contains the centroid in ΔABC is: line n.
What is the Circumcenter of Triangle?Circumcenter is the point where all three perpendicular bisectors of the three sides of a triangle meet and they are of equal distance from the three vertices of the triangle.
The line that contains the circumcenter in ΔABC is: line k.What is the Orthocenter of a Triangle?Orthocenter is the point in a triangle where the three altitudes that are perpendicular to the opposite sides and connect with the vertices of the triangle intersect.
The line that contains the orthocenter in ΔABC is: line m.What is the Centroid of a Triangle?The centroid of a triangle is a the point of intersection where all three medians of a triangle. Medians of a triangle connects the vertices to the midpoints of the opposite sides of a triangle.
The line that contains the centroid in ΔABC is: line l.What is the Incenter of a Triangle?The incenter of a triangle is the point in a triangle where all three angle bisectors of the vertices of a triangle.
The line that contains the centroid in ΔABC is: line n.Learn more about centers of a triangle on:
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A business owner is comparing the cost of buying natural gas from two different companies.
• Company A charges a $6 fee plus $1.25 per therm (unit of heat).
• Company B charges a $9 fee plus $0.75 per therm (unit of heat).
For what number of therms will the cost be the same at both companies?
13.5 therms
9 therms
6 therms
12.75 therms
Answer: C. 6 therms
Step-by-step explanation:
6 + 1.25(6) = $13.50
9 + 0.75(6) = $13.50
Correct me if I am incorrect.
This scatter plot shows the number of baskets made and the time in minutes that has passed.
Based on the information in the scatter plot, what is the best prediction for the number of baskets made in 16 minutes?
4 baskets
7 baskets
14 baskets
20 baskets
Scatter plots are used to relate variables using scattered dots.
The best prediction for the number of baskets made in 16 minutes is (c) 14 baskets
From the graph, we can see that the number of baskets made in 14 minutes is 12.
Also, from the graph; as the minutes increases, the number of baskets either remain the same or increases.
This means that, for 16 minutes, the number of baskets would either be 12 (same as 14 minutes) or greater.
The closest to 12 baskets in the option is 14.
Hence, the best prediction for the number of baskets made in 16 minutes is (c) 14 baskets
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