Answer:
Step-by-step explanation:
y = -1(x + 2)(x - 3)(x - 3)(x + 0)(x + 0)(x + 1)(x + 1)(x + 1)
The 8 degree polynomial for the given roots can be written as p(x) = x⁸ - x⁷- 12x⁶ - 4x⁵ + 30x⁴ + 51x³ + 18x².
What is factor theorem?The factor theorem states that for a polynomial p(x) if there exists a real number a such that p(a) = 0, then (x - a) is one of the factors of p(x).
The roots of the polynomial are given as follows,
Number of roots at -2 = 1
Number of roots at 3 = 2
Number of roots at 0 = 2
And, number of roots at -1 = 3.
Now, the polynomial can be written using factor theorem as,
p(x) = x²(x + 2)(x - 3)²(x + 1)³
= x²(x + 2)(x²- 6x + 9)(x³ + 3x² + 3x + 1)
= x⁸ - x⁷- 12x⁶ - 4x⁵ + 30x⁴ + 51x³ + 18x²
Hence, the polynomial for given roots can be written as p(x) = x⁸ - x⁷- 12x⁶ - 4x⁵ + 30x⁴ + 51x³ + 18x².
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#10) Mrs. Sommer states that angle I is 65 degrees. Is she correct? why or why not
Answer: Mrs. Somner is correct.
Step-by-step explanation: In a triangle, the angles add up to 180 degrees. Since we know that Triangle ABC is equal to Triangle RST, we can assume that their angle values are equal as well. Angle A is 41 degrees, and Angle B is 74 degrees. This adds up to 115 degrees. If we subtract 115 from 180, we get 65. Therefore, Mrs. Somner is correct.
One advantage of a variable interest rate over a fixed interest rate is that a
variable rate:
A. is often lower initially
B. offers borrowers more flexible terms.
c. can be used for large purchases.
D. increases when the market rate increases
The term variable implies that the rate is bound to change over time, in this context variable interest rate may double as an Advantage and also as a disadvantage.
D. increases when the market rate increases
Variable interest rate is advantageous because as the market rate increases, the rate at which the customer will receive his/her interest will increase too
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Answer: a
Step-by-step explanation:
Carol's Phone Service charges $17.62 for an activation fee plus $3 for every gigabyte (g) used. Which of the following graphs models the situation?
Answer:
a
Step-by-step explanation:
17.62 y intercept
slope 1/3
Graph all solutions on a number line and provide the corresponding interval notation. 1. 3x + 5>-4 2. 2x+1> -1 3.5-6y < -1 4.7-9y> 43 5.6-a≤6
Graphs attached
Done!
Hopw it helps
A camper attaches a rope to the top of her tent to give it more support. She stakes the rope, which is 8 ft long, to the ground at a distance of 6 feet from the middle of her tent. About how tall is her tent?
Answer:
5.3
Step-by-step explanation:
8^2 - 6^2 = x^2
64 - 36 = x^2
28 = x^2
Square root of 28 is approx 5.3
Which graph best represents the equation x2 + (y – 1)2 = 3?
Answer:
Step-by-step explanation:
assuming the equation is x^2 + (y - 1)^2 = 3
2 years,18 month.express the first quantity as a percentage of the second quantity
Answer:
2 years= 12 months
12÷18×100= 66.67%( approx)
2) 20cm=200mm
225÷200×100
=112.5%
Step-by-step explanation:
Answer:
2 years= 12 months
12÷18×100= 66.67%( approx)
Step-by-step explanation:
Solve the following inequalities. Graph the solution on a number line and express it in interval notation. You can use the back page for your solution. 26. x+47 > 36 27. x-8 -2x PLEASE HELP ME
[tex]\\ \sf\longmapsto x+47>36[/tex]
[tex]\\ \sf\longmapsto x>36-47[/tex}
[tex]\\ \sf\longmapsto x>-11[/tex]
Graph attached
WRITE THE FUNCTION RULE FOR F(X)=-6;X-AXIS
Answer:
-6 is Y
Step-by-step explanation:
When ever the number is outside of the f(x) it is = y.
Could somebody please explain this to me?
Answer: call 911
Step-by-step explanation: call 911
The length of a rectangular garden is 30 yards more than the width. The perimeter is 300 yards. Find the length and width
Answer:
Length is 90yards and width is 60yards
Step-by-step explanation:
Perimeter= 2( length+width)
let the width be x
then the length will be 30 + x
300 = 2(30+x+x)
150 = 30 + 2x
120= 2x
x = 120/2
x = 60 yards
length= 30+x
= 30 + 60
= 90yards
Solve the system of equations.
\begin{aligned} & -4x+3y = -2 \\\\ & y=x-1 \end{aligned}
−4x+3y=−2
y=x−1
Answer:
x = -1 ; y=0
Step-by-step explanation:
We plug in the y, from the second equation, in the first one. By doing so we obtain:
-4x +3(x-1) = -2
-4x + 3x - 3 =-2
-x = 1
x= -1
Now we take this value and plug it in the second equation:
y = 1-1 = 0
Solution:
(-1,0)
QUESTION 23.PLEASE HELP ASAP
Answer:
None
Step-by-step explanation:
Answer:none
Step-by-step explanation:i know how to do math
Jessica runs 7 miles in 60 minutes. At the same rate, how many miles would she run in 24 minutes?
Answer:
If I am wrong I appologize I haven't done this math in years
Step-by-step explanation:
60÷7= 8.57
so each mile takes 8.57 mins
24÷8.57= 2.8 miles
determine the intercepts of the line
Answer:
y- (0,2.5) x-(3.5,0)
Step-by-step explanation:
This is because the intercepts of a graph are the points at which a line intersects with a desired axis. So for the Y axis the inercept would be at 2.5 making the y intercept (0,2.5). The same concept is used on the X axis.
11) Which shows another way to write 6%?
A) 6
B) -6
C) 0.06
D) six tenths
Answer:
i think C. 0.06 is answer
Step-by-step explanation:
6% = 6/100 = 0.06
[tex]6\% \\ = \frac{6}{100} \\ = 0.06[/tex]
Answer:
C) 0.06
Hope you could get an idea from here.
Doubt clarification - use comment section.
Round 67 to the nearest hundred. Enter your answer in the box below.
fnd the highest common factor of -8xy and 20y
Answer:
[tex]\huge\boxed{\boxed{2}\cdot\boxed{2}\cdot\boxed{y}=4y}[/tex]
Step-by-step explanation:
[tex]-8y=-2\cdot\boxed{2}\cdot\boxed{2}\cdot \boxed{y}\\\\20y=\boxed{2}\cdot\boxed{2}\cdot5\cdot\boxed{y}[/tex]
Help help math math math
Answer:
[tex]\displaystyle m = 3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Step-by-step explanation:
Step 1: Define
Identify points.
Point (8, 1)
Point (11, 10)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{10 - 1}{11 - 8}[/tex][Order of Operations] Evaluate: [tex]\displaystyle m = \frac{9}{3}[/tex]Simplify: [tex]\displaystyle m = 3[/tex]Answer:
m=3
Step-by-step explanation:
Here’s the question:
Steven earns extra money babysitting. He charges $46.50 for 6 hours and $62.00 for 8 hours. Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges. The equation is y =
I’m stumped. Can you help me find the answer along with an explanation? Thanks.
Answer:
An easy way to solve this problem is divide $23.25 by 3 or $54.25 by 7. Either way, you get $7.75. This number represents the amount of money he makes for 1 hour. So with that in mind, the correct equation is:
$7.75x = y
Step-by-step explanation:
Answer: y = 7.75x
Step-by-step explanation:
Find the difference of charges between 6 hours and 8 hours
62-46.5 = 15.5 for 2 hours
15.5/2 = 7.75/hr
62 = 7.75 x 8
Therefore there is no initial charge, and that the relationship is linear
so y = 7.75x
A teacher gave a test with 50 questions, each worth the a a teacher gave a test with 50 questions, each the same number of points. Donovan got 38 out of 50
questions right. Marci's score was 80%.
How many more questions did Marci answer correctly?
Marci answered
more questions correctly.
Answer:
Marci answered 40 out of 50
Marci answered 2 more questions correctly.
Step-by-step explanation:
Donovan got 38 out of 50
Marci got 80% which means 40 out of 50
40-38 = 2
SOMEONE PLS HELP ME WITH GEOMETRY: what triangle is congruent to ABC?
Answer:
MLK :)
Step-by-step explanation:
Congruent means identical shape.
Answer:
D. KLM
Step-by-step explanation:
Does anyone know the answer please help!!
Last oneeee helpppp pleaseeeee
[tex]13-4x = 13 -4(-8) = 13 +32 = 45[/tex]
=> 13 - 4x
=> 13 - 4(-8) ..(when x = (-8))..
=> 13 - (-32) ..( (-) , (-) = + )..
=> 13 + 32
=> 45
_ _ _ _ _ _ _ _ _ _ _☆ Final Answer ☆45_ _ _ _ _ _ _ _ _ _ _☆- PhysicsMaths - ☆
Please answer.
No scammers and links
all triangles are similar but B and D may be the answer
Look at the top questions. Pls I need help asap I don’t get it
Write an equation in point-stope form for the line through the given point with the given slope.
Answer:
y-3=6(x-8)
Step-by-step explanation:
given that the slope is 6 and the line passes through (8,3), we can use the formula y-y1=m(x-x1), where (x1, y1) is the ordered pair and m is the slope. we can plug the given values in from there. m=6, x1=8, and y1=3. hope this helps!
help me out guys please !!!!!¡
Answer:
C should be the answer
Answer:
15.4919333848
Step-by-step explanation:
Parallelogram TUVW is graphed on a coordinate plane with vertices at T (3, 4), V (-10,-2), V(-6,5),
and
W (7,11). Parallelogram TUVW Is dilated by a scale factor p with the origin as the center of dilation to
create parallelogram T'U'V'W'. Which ordered pair represents the coordinates of the dilated vertex V'?
G (-6 + P, 5+ p)
(-6p, Sp)
The coordinates of the dilated vertex V' is (-6p, 5p)
Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.
Dilation is the increase or decrease in the size of a figure. If a point A(x, y) is dilated by a factor k, the new point is A'(kx, ky).
The Parallelogram TUVW has vertices at T(3, 4), U(-10,-2), V(-6,5) and W (7,11). If it is dilated by a scale factor p with the origin, the new point is at:
T'(3p, 4p), U'(-10p, -2p), V'(-6p, 5p) and W'(7p, 11p)
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Ramon surveyed his friends about their favorite snacks. He found that 1/6 of his friends prefer trail mix. What is the equivalent decimal for the fraction of friends that prefer trail mix? Drag and drop the correct number to the box. 1/6 0.16 or 6
Answer:
hlp
Step-by-step explanation:
hlp