Answer:
f(x) = (x + 4)^2*(x - 5)^3
Step-by-step explanation:
For a polynomial P(x) with zeros (or roots):
x₁, x₂, ..., xₙ
And a leading coefficient (the one that multiplies the term of highest degree) A, we can write the polynomial as:
P(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)
Now, some of these roots can be repeated.
For example if x₁ = x₂
Then we say that the root x₁ has a multiplicity of two.
And we write the polynomial as:
P(x) = A*(x - x₁)^2*(x - x₃)*....*(x - xₙ)
Now, if we have a polynomial with the roots (or zeros):
Zero at -4 with a multiplicity of 2 (we have the root x = -4 two times)
Zero at 5 with a multiplicity of 3 (we have the root x = 5 3 times)
(And a leading coefficient A = 1, I assume)
This polynomial will be written as:
f(x) = (x - (-4))*(x - (-4))*(x - 5)*(x - 5)*(x - 5)
f(x) = (x + 4)*(x + 4)*(x - 5)*(x - 5)*(x - 5)
f(x) = (x + 4)^2*(x - 5)^3
The correct option is the third one:
Please help and fast!!!!
( i accidently clicked an answer)
Answer:
16,734.06 ft2
Step-by-step explanation:
A = 2pir
A = 2 x pi x 73
A = 16741.5 ft2
ASAP
-WILL MARK BRIANIST
Answer:
20%
Step-by-step explanation:
40-32=8
8/40=20%
This is what I think I hope it helps If right mark me brainliest If wrong tell me and I will figure out another answer.
Answer:
32 are eaten so we need to eliminate that from the total pieces.
40 - 32 = 8 are not eaten YET
8/40 since there are 8 out of 40(in total) that are not eaten
Now we need to convert 8/40 into a percent which means we multiply by a 100 to get 20%.
Brainliest is appreciated.
Anyone can help ?
I'm from Indonesian :)
Answer:
624
Step-by-step explanation:
[tex] 2(\frac{1}{2} \times 6 \times 8 ) + (24 \times 8) + (24 \times 6) + (10 \times 24)\\ = 624[/tex]
Which of the following is the Perpendicular Bisector Theorem?
A. lf a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
B. Ifa point is on the perpendicular bisector of a segment, then it is proportional from the endpoints of the segment.
C. lf a point is proportional from the endpoints ofthe segment then it lies on the perpendicular bisector of that segment
D. f a point is equidistant from the endpoints of the segment, then it lies on the perpendicular bisector of that segment.
Answer:
its Ifa point is on the perpendicular bisector of a segment, then it is proportional from the endpoints of the segment.
PLEASEEEEE HELPPPP IM BEGGING SOMEONE PLEASEEEEEEEE
Answer:
Step-by-step explanation:
answer is 98 degree because the relation between missing angle and 98 degree is alternate exterior angles and alternate exterior angles are always equal.
answer is 89 degree because the relation between missing angle and 89 degree is corresponding angles and corresponding angles are always equal.
in the 5th question
let's consider the angle there as A so angle A is 98 degree and by the relation of alternate angles the question mark (?) is 98 degree
in 6th question
by the relation of corresponding angles the question mark(?) is 89 degree
A yogurt shop offers five different flavors of frozen yogurt and twenty different
toppings. How many choices are possible for a single serving of frozen yogurt with
one topping?
Use the Pythagorean theorem to find the unknown side of the right triangle.
Answer:
c=26
Step-by-step explanation:
10^2 + 24^2=c^2
100+576=c^2
676=c^2
c=26
Hope I helped, have a nice day :)
Answer:
The Answer is 26
Step-by-step explanation:
to find the hypothenuse you need to use this formula a²+b²=c² so 10x10 is 100 and 24x24 is 576. Add those up and find the square root. √676 is 26.
Hope this Helped
twice one number added to three times another gives 21 find the numbers if the difference between them is 3
Answer:
6 and 3
Step-by-step explanation:
let x and y be the 2 numbers with x > y , then
2x + 3y = 21 → (1)
x - y = 3 → (2)
Multiplying (2) by 3 and adding the result to (1) will eliminate y
3x - 3y = 9 → (3)
Add (1) and (3) term by term to eliminate y
5x = 30 ( divide both sides by 5 )
x = 6
Substitute x = 6 into either of the 2 equations and solve for y
Substituting into (1)
2(6) + 3y = 21
12 + 3y = 21 ( subtract 12 from both sides )
3y = 9 ( divide both sides by 3 )
y = 3
The 2 numbers are 6 and 3
Please help me ASAP
Answer:
I think 12 is the answer
Step-by-step explanation:
In ∆ QOP
R and S is the midpoint of OQ and PQ
and RS is parallel to OP
Therefore , By BPT
∆QRS is similar to ∆ QOP
let QS length be 1 unit
therefore , QP is 2 unit ( because QS is half of QP )
RS / OP = QS / QP
18-4x / -9+7x = 1 / 2
after cross multiplying
36-8x = -9+7x
36+9 = 7x+8x
45 = 15x
x=3
we have OP length = -9+7x
put the value of x in above equation
-9+7×3
-9+21
12
Max drives 85 km at an average speed of 110 km/h and then 7 km at 70 km/h without stopping.
What is the average speed for the whole journey to 1 dp?
Answer:
how much time did it take him???????
Step-by-step explanation:
Can someone help me find the vertex?
Answer:
vertex = (2, 264)
Step-by-step explanation:
i just used desmos so um yeah im sorry
Find the height of triangle
Answer:
60
Step-by-step explanation:
First, divide 120 by two and get 60. Now do 120-60 to get 60. Set up proportion
60/x = x/60.
Cross multiply
x^2 = 3600
and now find the square root of 3600
60
Is (5, 8) a solution to this system of inequalities?
x + y ≤ 18
x ≥ 6
Answer:
No
Step-by-step explanation:
x + y ≤ 18
x ≥ 6
(5,8)
The second inequality states that x must be greater than or equal to 6, but x =5 so it is not a solution
What is the sum of the interior angles of the polygon shown below?
Answer:
540 degrees
Step-by-step explanation:
The formula to find the sum of interior angles in any polygon is the following:
[tex]S=180(n-2)[/tex]
Where (n) represents the number of sides in the polygon. In this case, the polygon has (5) sides, therefore substitute (5) in place of (n) and solve;
[tex]S=180(n-2)\\\\S=180(5-2)\\\\S=180(3)\\\\S=540[/tex]
Solve for c.
-c/2+43 = 50
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{-\dfrac{c}{2}+43=50}[/tex]
[tex]\large\text{SUBTRACT 43 to BOTH SIDES}[/tex]
[tex]\mathsf{-\dfrac{c}{2}+43-43=50-43}[/tex]
[tex]\large\textsf{CANCEL out: 43 - 43 because that gives you 0}[/tex]
[tex]\large\textsf{KEEP: 50 - 43 because it helps solve for the c-value}[/tex]
[tex]\mathsf{50 - 43 = \bf 7}[/tex]
[tex]\large\text{NEW EQUATION: }\mathsf{-\dfrac{c}{2}=7}[/tex]
[tex]\large\textsf{MULTIPLY }\mathsf{\dfrac{2}{-1}}\large\textsf{ to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{2}{-1}\times-\dfrac{c}{2}= \dfrac{2}{-1}\times7}[/tex]
[tex]\large\textsf{CANCEL out: your RIGHT SIDE of the equation because that gives}\\\large\textsf{you 1}[/tex]
[tex]\large\textsf{KEEP: }\mathsf{\dfrac{2}{-1}\times7}\large\textsf{ because that helps solve for the c-value}[/tex]
[tex]\uparrow\large\text{SIMPLIFY THE EQUATION ABOVE \& YOU HAVE YOUR}\\\large\text{C-VALUE}\uparrow[/tex]
[tex]\boxed{\boxed{\large\text{ANSWER: \huge\bf c = -14}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Hello !
Answer:
[tex] \boxed{\sf c= -14} [/tex]
Step-by-step explanation:
We will try to find the value of c that satisfies the equality.
Given equation:
[tex] \sf -\dfrac{c}{2} + 43 = 50 [/tex]
Subtract 43 from both sides:
[tex] \sf -\dfrac{c}{2} + 43 - 43 = 50 - 43 \ \sf -\dfrac{c}{2} = 7 [/tex]
Multiply both sides by -2:
[tex] \sf -\dfrac{c}{2} \times (-2) = 7 \times (-2) \ \ \implies \boxed{\sf c = -14} [/tex]
Have a nice day ;)
How can I calculate the maximum height of the ball? h=-16t^2+vt+h v is the initial velocity and I got 4.3cm h is the initial height and I got 14cm Range of the ball is 1.954m and the time in air is 2.1 When I solve the maximum height of the ball, it need to be ft/s.
Step-by-step explanation:
The path followed by the ball as a function of time is given by :
[tex]h=-16t^2+vt+h[/tex]
Where
v is initial velocity and h is initial height,
v = 4.3 cm/s = 0.043 m/s and h = 14 cm = 0.14 m
The equation becomes,
[tex]h=-16t^2+0.043t+0.14[/tex] ....(1)
It is a quadratic equation,
t = 0.095 s
Put the value of t in equation (1).
[tex]h=-16(0.095)^2+0.043(0.095)+0.14\\\\h=-0.000315\ m[/tex]
or
h = -0.00103 ft (negative sign shows height is in negative direction)
the three side lengths of four triangles are given. which triangle is a right triangle? Triangle 1: 2, 4, 5
Triangle 2: 4, 7, 8
Triangle 3: 3, 4, 5
Triangle 4: 6, 8, 11
Answer:
Triangle 3
Step-by-step explanation:
A 3:4:5 triangle or any triangle of the same ratio (Like 6:8:10) is always a right triangle
Which is the best estimate of 3.156 x 2.8 ?
Pretend you got 86% of the questions on a state test correct. The test had 120 problems. How many problems did you get correct?
Please show or explain your work
Answer:
1 17\43
Step-by-step explanation:
I did the math... i should be right...
Find segment ET. Please and thank you
Answer:
x=9
Step-by-step explanation:
Use the intersecting chord theorem:
RE*ET = UE*ES
Substitute values
21 (2x+2) = 30 (x+5)
Expand:
42x+42 = 30x + 150
transpose and simplify
42x-30x = 150 - 42
12x = 108
x = 9
Find the median of the values:
8, 13, 6,-1, 10, 0, -3, 5, 7,1
Answer:
To do this question, you need to put the numbers in least to greatest. Greatest to least will not work and will be incorrect.
It will be:
-3, -1, 0, 1, 5, 6, 7, 8, 10, 13
Now you have to cancel each number out from each end.
You will get the numbers:
5, and 6.
You have to find the average of this so:
5 + 6 = 11
11 ÷ 2 = 5.5
So the answer is 5.5.
Answer:
5.5
Step-by-step explanation:
First you would rearrange the numbers from smallest to biggest or vice versa then you cancel out equal number of numbers on both sides until you get to the middle. If it's an even amount of numbers, like 10, then there will be two in the middle instead of one so in that case you would add the two of them and then divide by two.
For example, -3, -1, 0, 1, 5, 6, 7, 8, 10, 13
you would cancel out until you get to the middle which would leave you with 5 and 6 so you add them and divide by two to get 5.5.
Amy buys eight apples that each weigh 150 grams. She notices that they are on sale for $3.00 per kilogram, how much will the apples cost? Prove your thinking.
Answer:
$3.60
Step-by-step explanation:
8 apples × 150 grams
1200 grams
1 kilogram = 1000 grams
x. = 1200 grams
X = 1.2 kg
1kg = $3.00
1.2kg =$3.6
The cost of 8 apples that have weight 1.2 kilograms is,
⇒ $3.60
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Amy buys eight apples that each weigh 150 grams.
And, She notices that they are on sale for $3.00 per kilogram.
Now,
Total weight of the apples is,
⇒ 8 × 150 grams
⇒ 1200 grams
⇒ 1.2 kilograms
Since, She notices that they are on sale for $3.00 per kilogram.
Hence, The cost of 8 apples that have weight 1.2 kilograms is,
⇒ $3.00 × 1.2
⇒ $3.60
Thus, The cost of 8 apples that have weight 1.2 kilograms is,
⇒ $3.60
Learn more about the multiplication visit:
https://brainly.com/question/10873737
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Which is a measure of the missing angle in this triangle?
Let us assume the three angles to be angle 1, angle 2 and angle 3.
Angle 1 = 35°
Angle 2 = 120°
To find:-Angle 3.
Solution:-[tex]{\boxed{\mathcal{\red{The \:measure\:of\:the\:missing\:angle\:is\:25°. \:✅}}}}[/tex]
Step-by-step explanation:-We know that,
[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]
➪ ∠ 1 + ∠ 2 + ∠ 3 = 180°
➪ 35° + 120° + ∠ 3 = 180°
➪ 155° + ∠ 3 = 180°
➪ ∠ 3 = 180° - 155°
➪ ∠ 3 = 25°
[tex]\sf\red{Therefore, \:the\: measure \:of \:∠\: 3\: is \:25°.}[/tex]
To verify:-∠ 1 + ∠ 2 + ∠ 3 = 180°
✒ 35° + 120° + 25° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
[tex]\boxed{Hence\:verified.}[/tex]
[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]
Answer:
? = 25°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180° for missing angle, that is
? = 180° - (120 + 35)° = 180° - 155° = 25°
There are 3 blue marbles, 6 red marbles, 2 green marbles and 1 black marble in a bag. Suppose you select one marble at random. Find the probability for each of the following.
a) The probability of selecting a blue marble is P ( B ) = 1/4
b) The probability of selecting a green marble is P ( G ) = 1/6
c) The probability of selecting not a green marble is P' ( G ) = 5/6
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the number of blue marbles = 3
Let the number of red marbles = 6
Let the number of green marbles = 2
Let the number of black marbles = 1
So , the total number of marbles = 12
So , the probability is given as
The probability of selecting a blue marble is P ( B ) = 1/4
The probability of selecting a green marble is P ( G ) = 1/6
The probability of selecting not a green marble is P' ( G ) = 5/6
Hence , the probability is solved
To learn more about probability click :
https://brainly.com/question/17089724
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The complete question is attached below :
There are 3 blue marbles, 6 red marbles, 2 green marbles and 1 black marble in a bag. Suppose you select one marble at random. Find the probability for each of the following.
Q = {1, 3, 5, 7, 9). Express it in description method and in rule method.
Answer:
{x:x is having odd number}
The circumference of a circle is 7 π π ft. Find its diameter, in feet
Answer:
2.23
Step-by-step explanation:
Ellie want to buy new shoes that is in sale for $80. She saved $60. How much more money does she need
Answer:
$20
Step-by-step explanation:
New shoes = $80
What Ellie Saved = $60
80 - 60 = 20
To make sure this is correct simply add 20 to 60.
60 + 20 = 80
A paperweight in the shape of a hemisphere is shown. It has a volume of 231.6 cubic centimeters.
Enter the radius of the paperweight, in centimeters. Round your answer to the nearest thousandth.
Answer:
2/3*22/7*r^3=231.6
2/3*22/7=2.0952
2.0952*r^3=231.6
r^3=231.6/2.0952
r^3=
Step-by-step explanation:
2/3*22/7*r^3=231.6
2.0952r^3=231.6
r^3=110.5384
cuberoot 110.5384
=4.7992
HELP DUE IN 15 MINS!
Find the area of the bolded sector in the circle below.
Leave your answer in terms of pi. Just type what number should be multiplied to the
pi)
Area sector = ?? π
Answer:
Area of the sector = 47.52π
Step-by-step explanation:
Area of the sector of the circle;
A = ∅ / 360 * πr²
We know that;
∅ = 120
r = 12
So now we can substitute;
A = (120 / 360) * π(12)²
A = 0.33 * 144π
A = 47.52π
Hope this helps!
ummm I’m so bad at math lol
The correct option is B - Where the given data is plot correctly.