Answers
Answer:
a) Draw a line horizontally on 4 on the y axis
b)x=2,y=3
Related Questions
Find all rational polynomials p(x) = x3 + ax2 + bx + c such that a, b, c are
roots of the equation p(x)=0
Answers
Answer:
p(x) = x³ +0x² +0x +0p(x) = x³ +x² -x -1p(x) = x³ -x² -2xStep-by-step explanation:
If the roots of p(x) are a, b, c, then it factors as ...
p(x) = (x -a)(x -b)(x -c)
and the expanded form is ...
p(x) = x^3 -(a+b+c)x^2 +(ac +b(a+c))x -abc
The requirement that the coefficients match the roots means we have three equations in three unknowns:
a = -(a+b+c)
b = ac +b(a+c)
c = -abc
The attachment shows the solutions to these equations. The solutions are found by making the substitutions ...
b = xc = ya = -(x+y)/2This leaves us with two equations in two unknowns that can be graphed on a Cartesian plane. The graph of the second equation is a circle:
x(1 -a -y) -ay = 0 ⇒ (x +1)^2 +y^2 = 1
The graph of the first equation is the union of the line y=0 and two hyperbolas. The points of intersection between this graph and the circle are ...
(x, y) = (-2, 0), (-1, -1), (0, 0) ⇒ (a, b, c) = (1, -2, 0), (1, -1, -1), (0, 0, 0)
The three polynomials that correspond to these values are shown above and in the attachment.
_____
Additional comment
There is an irrational fourth solution to the requirement that the roots match the coefficients.
Write an algebraic expression that models the word phrase.
the sum of the product of a number x and 6, and 2
Choose the correct answer below.
O A. 12 + x
OB. 6x + 2
O C. (6+2)x
OD. 2x + 6
Answers
Answer:
B: 6x+2
Step-by-step explanation:
hope this helps :)
You went to a carnival. Each ride cost $2.50.
Let c represent the cost and n represent the
number of rides.
Answers
Which triangles could not be similar to triangle ABC ? triangle a b c with right angle b. side a b is 12 cm. side b c is 5 cm. side a c is 13 cm. Select each correct answer. Right triangle D E F with right angle at E. D E is 8 centimeters. D F is 10 centimeters. E F is 6 centimeters. Right triangle J K L with right angle at K. J K is 36 centimeters. J L is 39 centimeters. K L is 25 centimeters. Right triangle M N O with right angle at N. M N is 35 centimeters. M O is 37 centimeters. N O is 12 centimeters. Right triangle G H I with right angle at H. G H is 6 centimeters. G I is 6.5 centimeters. H I is 2.5 centimeters.
Answers
Answer:
triangle JKL
Step-by-step explanation:
This is because the lengths of each side JKL is a factor to ABC
respectively .
AB=12,JK=36
AC=13,JL=39
BC=5,KL=25
I hope you understand
Directions: Name the coefficient (s) in the following expressions:
1. 9s + 4t
2. 46rs + 10x
3. 18q + 14x
4. 10x + 14y
5. 17rs + 32x
6. 5x + 7y - 5z
7. 3ab + 70m
8. 3r + 20a + 10m
9. 7k + 16m
10. 7r + 5s
11. 9j + 120m
12. 12k + m
13. 6c + 15h + w
14. 2c - 19d + 12f
15. 3t + 14r - 31j
can someone just answer god
Answers
Answer:
Coeffecients are the letters before the numbers.
1. 9 and 4
2. 40 and 10
3. etc
Step-by-step explanation:
46 and 10
18 and 14
10 and 14
17 and 32
5 and 7 and -5
3 and 70
3 and 20 and 10
7 and 16
7 and 5
9 and 120
12
6 and 15
2 and -19 and 12
3 and 14 and -31
Basically the number before the letter!
Hope this helps!!
An online furniture store sells chairs and tables. Each day, the store can ship at most 55 pieces of furniture. Write an inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint.
Answers
Answer:
t+c ≤ 55
Step-by-step explanation:
t+c is the total pieces of furniture and it must be at most (less than or equal to) 55 so t+c ≤ 55 is the equality that represents the possible values.
On a coordinate plane, a parabola opens down. It has an x-intercept at (negative 5, 0), a vertex at (negative 1, 16), a y-intercept at (0, 15), and an x-intercept at (3, 0).
The function f(x) = –x2 − 2x + 15 is shown on the graph. What are the domain and range of the function?
The domain is all real numbers. The range is {y|y < 16}.
The domain is all real numbers. The range is {y|y ≤ 16}.
The domain is {x|–5 < x < 3}. The range is {y|y < 16}.
The domain is {x|–5 ≤ x ≤ 3}. The range is {y|y ≤ 16}
Answers
Answer:
Step-by-step explanation:
Domain is all the x's and range is all the y's. There's no reason why you couldn't pop any x into the given equation and calculate it and get a number out. So literally ANY x can be used and found on this graph. So the domain is all real numbers, one of the first two answers is going to be the right one. Now, the range is all the y's on the graph. The problem says that the parabola opens down, which means it has a highest point. There is no graph above that point. That's the point (-1, 16). So 16 is the highest y-value you can find on the graph. All the rest of the y's are smaller. The range is all the y's such that the y's are 16 and smaller...in math that's written {y | y <= 16} So the second answer is the right one.
The domain is all real numbers. The range is {y | y ≤ 16}
How to determine the domain and the range?The attached graph completes the question
Calculating the domain
The function is given as:
f(x) = -x² - 2x - 15
The above function is a parabola or a quadratic function.
Quadratic functions have their domain to be the set of all real numbers.
Hence, the domain is all real numbers.
Calculating the range
On the graph, we have the maximum value of y to be:
Maximum = 16
Because the parabola opens down, the range would be:
y ≤ 16
Hence, the range is {y | y ≤ 16}
Read more about domain and range at:
https://brainly.com/question/2264373
#SPJ6
A magnifying glass makes an image appear 10times larger than its actual size. If the magnified image appears to be 1inch, what is the actual size of the image?
0.01
inch
0.01 inch
0.1
inch
0.1 inch
10
inches
10 inches
100
inches
100 inches
Answers
Answer:
0.1 Inch
Step-by-step explanation:
If the image is 0.1 inch, and it is magnified by 10, 0.1 times 10 will give you the new size of the image after it is magnified. You can undo it by dividing 10 since you would multiply it to magnify it.
Find the slope of the line passing through the points A(-2,2) and B(7, -3)
Answers
Step-by-step explanation:
Formula : m = (y2-y1) / (x2+x1)
(-3 - 2) / (7 - - 2)-5 / 9= -0.55555555555Explain whether the pairing is a function
Answers
it would’ve been a function if it had many to one
Identify an example of a pair of skew line from the box below
Answers
Answer:
AB, CD
Step-by-step explanation:
Skew lines do not lie in the same plane, and do not intersect. One such pair is AB and CD.
__
Additional comment
Any of the lines, and any of the lines that intersect its diagonally-opposite edge will be skew lines.
For example, the opposite edge to line BC is line EG. Lines that intersect EG are ED, EF, GA, GH. All of those four lines are skew with respect to line BC.
Solve the system of equations.
fequations with
on: potato chips
15x + 3y = -3
equations with
n: -3x-4y=-2 &
2 = -y +3
2=
stems of
with
Y =
Answers
Answer:
y = - 3, x = 6
Step-by-step explanation:
15x + 31y = - 3
x = - y + 3
15(- y + 3) + 31y = - 3
-15y + 45 + 31y = - 3
16y + 45 = - 3
16y = - 48
y = - 3
x = - (- 3) + 3
x = 3 + 3
x = 6
Answer:
x = 6, y = -3.
Step-by-step explanation:
15x + 31y = -3
x = -y + 3
Substitute x = -y + 3 in the first equation:
15(-y + 3) + 31y = -3
-15y + 45 + 31y = -3
16y = -3 - 45 =-48
y = -3.
So x = -(-3) + 3 = 6.
Which of the following expressions is equivalent to.
Answers
Answer:
the answer is this hope it helps
Please help Tysm!! <3
Answers
Answer:
68 homes
Step-by-step explanation:
1. First, let's set up a proportional relating the home to the # of hours.
[tex]\frac{17}{49} = \frac{x}{196}[/tex]2. Now, let's see if we can divide 196 by 49. If so, the quotient we get is the number we multiply 17 by to get x.
[tex]196/49 = 4[/tex] This means that we multiply 17 by 4 to get x.[tex]17 * 4 = 68[/tex]Therefore, the answer is 68 homes.
A planet has a circular orbit around a star. It is a distance of 65,000,000 km from the centre of the star. It orbits at an average speed of 65,000 km/h. How many Earth days does it take the planet to orbit the star? Give your answer to 2 sf.
Answers
Answer:
42
Step-by-step explanation:
65000000/65000=1000
24hrs=1 day
1000/24=125/3
125/3 times 1000= 42
You need $145 in cash if you withdraw money from your savings account using the ATM how much will you need to withdraw in order to have at least one $145 based upon how ATM’s dispense money?
Answers
Answer:
290
Step-by-step explanation:
145 withdrawal free + 145 in cash = 290.
subtract 3x-7x³+5x² from the sum of 2+8x²-x³ and 2x³-3x²+x-2
Answers
Answer:
(2 + 8 x^2 - x^3) + (2 x^3 - 3 x^2 + x - 2) - (3 x - 7 x^3 + 5 x^2) = 8 x^3 - 2 x
Step-by-step explanation:
The price of an item yesterday was $140 Today, the price rose to $322 Find the percentage increase.
Answers
Answer:
130% increase
Step-by-step explanation:
(322-140)/140(100)=130% increase.
(you set the final price on top, and original price in the denominator, and x/100 is the rate of increase)
cross multiply, and you get 130%.
nicole is making carrot bread. she needs 5 cups of carrots for every 2 cups of sugar. what is the ratio of cups of sugar to cups of carrots that nicole will need?
Answers
Answer:
2:5 ratio.
for every 2 cups sugar, she needs 5 cups carrots
hope this helps
help finals study guide please I want to just go on break
Answers
Step-by-step explanation:
(note: I'm only answering the ones I know vs giving you wrong answers for the others!)
1. ROS=Obtuse (larger then ninty degrees)
2. octagon has 8 angles (octo means eight, after all!)
3. If a figure has three sides, it is a triagle (not positive on this one)
4. symmetric property of congruence (this one's a simple search :p )
5. N/A (although I believe its angle BEC=124 degrees, as every other choice Is proven to be true)
6. congruent complements theorem (this is because we are given that 3 is a suppliment of 4. we are also given that 2=4. Based on this, then 1=3 is congruent based on 1 being suppliment of 2, 2=4, and 3 being a suppliment of 4)
7. N/A
8. N/A (the picture is too fuzzy for me to make any ideas)
I'm sorry I couldn't solve them all, but I hope this at least gets you somewhere! Have a great day!
Joy needs 8 feet of fabric for a project she is working on, but the store only sells the fabric in meters. One meter of fabric costs $1. 15. How much will the fabric cost? [1 ft = 0. 305m] $9. 20 $2. 12 $2. 81 $30. 16.
Answers
Answer: C = 6.5l
Cost is $6.50 per yard.
Step-by-step explanation:
2l = 13 and 5l = 32.5 After simplifying these we get: L = 6.5. In context, this means that one yard of fabric costs $6.50. As the number of yard of fabric increases, cost increases, so c = 6.5l.
Based on the cost of a single meter of fabric, the cost of the fabric that Joy wants is $2.81
Joy wants 8 feet of fabric. First convert this to meters which would be:
= 8 feet x 0.305 meter per feet
= 2.44 meters
The cost of this fabric would therefore be:
= Cost per meter x Number of meters
= 1.15 x 2.44
= $2.806
= $2.81
In conclusion, the cost of the fabric would be $2.81.
Find out more at https://brainly.com/question/4220997.
Please help me with this!!! I will mark brainlist!!!
Answers
Answer: The value of Angle F = 47
Step-by-step explanation:
Sasha drinks 2.5 liters of water each
weekday. She drinks a total of 3 liters of
water on the weekend. What is the total
volume of water, in milliliters, Sasha drinks
each week?
Answers
Answer:
17000
Step-by-step explanation:
2.5
.5
11.0
3*2=6
11
+6
17
10/11 x 3/7 x 1/2 Multiply. Write your answer as a fraction in the simplest form.
Answers
A solid object where the radius of bse is 7cm and height is 12cm
Answers
Answer:
A cylinder with a base radius of 7cm and a height of 12 cm.
Step-by-step explanation:
A solid object =7cm
height=12cm
Now,
we know that l = b×g
=12×7
= 84
Select the equation that contains the points (-1, -8) and (3, 4).
Answers
I need these answers in 5 MINUTES PLZ HELP
Answers
Answer:
30? I might be wrong soooo
Step-by-step explanation:
15*2=30
The circumference of a circular pond is 300 pi ft. A model boat is moving directly across the pond along the diameter at a rate of 4 feet per second. How long does it take the boat to get to the other side?
Part A: Draw the pond and label what you know from the problem above.
Part B: What is the diameter of the pond?
Part C: How many seconds does it take the boat to get to the other side of the pond?
Answers
Step-by-step explanation:
See the photo let me know if you have a question
Expand and simplify
3(4a - 5b) + 2(2a - 3b)
Answers
Answer:
a = 5/2
b = 1
I hope it correct
Step-by-step explanation:
Thank you
Answer:
answer is 5ab
Step-by-step explanation:
3(4a-5b)+2(2a-3b)
3(ab)+2(ab)
3ab +2ab
5ab
Which system of equations is graphed on the coordinate plane below?
Answers
Answer: 12,2
Step-by-step explanation:
Answer:
so the answer is TRUE
Step-by-step explanation:
I'm not sure how to explain but ik it it