Answer:
The multiplicity of the root is 2Step-by-step explanation:
Multiplicity of a number is the number of times the factor of a given function appears in the factor form of such given equation. For us to know the multiplicity of the root of the function, first we must know its root.
Factorizing the given quadratic function x²−8x+16=0
[tex]x^{2} -4x-4x+16 = 0\\x(x-4)-4(x-4)=0\\(x-4)(x-4) = 0\\x-4 = 0 and x-4 = 0\\x = 4\ twice[/tex]
Since the root of the function which is 4 appears twice then the multiplicity of the root is 2
PLEASE HELP! URGENT!
The equation and graph of a polynomial are shown below. The graph reaches its maximum when the value of x is -2. What is the y-value of this maximum?
y = -x^2-4x-1
Answer:
-11
Step-by-step explanation:
y= -2 squared - 4 x 4 - 1
y=4-16-1
y=-11
A square inscribed in a circle and centered at the origin has points at (2, 2), (- 2, 2), (2, -2) and ( -2, -2). What is the equation of the circle that circumscribes the square?
X^2+y^2=8 is the answer but why?
Answer:
In short, they are all solutions to your equation.
Step-by-step explanation:
I have attached the work to your problem.
Please see the attachment below. I clarified as much as possible and included all explanations/work.
I hope this helps.
HELP ASAP
There are 20 students on a school bus, 4 sixth graders, 10 seventh graders, and 6 eighth graders. Two students are chosen at random.
What is the probability of choosing two eighth graders?
Answer:
Idk I’m sry
Step-by-step explanation:
Four students were asked to write an expression which has terms that have a greatest common factor of 8c. The expressions
provided by the students are shown below.
Tanya
32C+16cd
Wyatt
8c-48cd
Xavier
36c-240
Yang
8c+40
Which student wrote the correct expression?
Tanya
Wyatt
Xavier
Yang
Answer:
WyattStep-by-step explanation:
Greatest common factor is a largest possible number or function that divides all values of a function without a remainder. According to the students, only Wyatt wrote the correct expression that has 8c as its greatest common factor.
According to Wyatt expression;
8c-48cd
It can be seen that 8c is the greatest function that can go in both monomials (8c and 48cd). On factoring out 8c we have;
[tex]8c-48cd = 8c(1-6d)[/tex]
since no other values can go in the values in parenthesis (1-6d), this shows that 8c is the greatest common factor of the function hence only Wyatt wrote the correct expression compare to other students.
According to Xavier and Yang equation, c is cannot be factored from the equation thereby making both the wrong expression.
For Tanya function 32c+16cd, its greatest common factor is 16c not 8d making the equation wrong as well.
Answer:
Wyatt
Step-by-step explanation:
it's on edge
Susan started her homework at 1{:}59\text { p.M.}1:59 p.M.1, colon, 59, start text, space, p, point, m, point, end text and finished her homework 969696 minutes later. Susan had volleyball practice at 4{:}00\text{ p.M.}4:00 p.M.
Answer:
Step-by-step explanation:
Susan started her homework at = 1:59 pm
She took time = 96 mins
Time at which she had volleyball practice = 4:00 pm
So, time between her starting of homework and starting of volleyball is given by
1:59 pm to 4:00 pm = 2 hrs and 1 mins
2 hr 1 min = 120 mins + 1 min = 121 mins
But she took 96 mins to do her homework, so
Out of 121 mins, 96 mins she took for homework
Remaining time = 121 mins - 96 mins = 25 mins
Therefore, time Susan had between finishing her homework and the beginning of volleyball practice is 25 mins
It is known that one of the factors of -24 is negative. How can it be determined if the chosen factor was the correct negative factor?
A) Check by adding the two binomial factors. If the middle term is -10x, not 10x, switch the signs of the factors of -24.
B) Check by adding the two binomial factors. If the middle term of 10x, not -10x, switch the signs of the factors of -24.
C) Check by multiplying the two binomial factors. If the middle term is -2x, not 2x, switch the signs of the factors of -24.
D) Check by multiplying the two binomial factors. If the middle term is 2x, not -2x, switch the signs of the factors of -24.
Answer:
Step-by-step explanation:
C bc
Answer:
The answer would be D
I had had this answer before
Hope this helped
Find an angle 0 coterminal to 801°, where 0° < 0 < 360°.
Answer:
[tex]\alpha' = 81^{\circ}[/tex]
Step-by-step explanation:
Angle is periodical function, so that following condition is satisfied:
[tex]\alpha = n \cdot 360^{\circ}[/tex]
[tex]n = \frac{801^{\circ}}{360^{\circ}}[/tex]
[tex]n = 2.225[/tex]
The position of the coterminal angle is:
[tex]n' = 2.225 - 2[/tex]
[tex]n' = 0.225[/tex]
[tex]\alpha' = n' \cdot 360^{\circ}[/tex]
[tex]\alpha' = (0.225)\cdot (360^{\circ})[/tex]
[tex]\alpha' = 81^{\circ}[/tex]
Racer and J. Michael are both training for the 1600 meter run. Last
week Racer ran 28– kilometers. J.
Michael ran 19.
kilometers. How
8
many more kilometers did Racer run?
Answer:
a lot
Step-by-step explanation:
What is the range of the function?
Answer:
the range of this function is d
{3,9,12}
1/16 x 6 then round to 2 decimal places.
Answer:
0.38
Step-by-step explanation:
PLS HELP 9,10,11!!! ASAP
Answer:
idk hff 8gciy ctcs 6rxtc igv6rx8
Q1 Use desmos to construct a histogram for the following data set. Then
describe the shape of the distribution.
** Provide a screenshot of your graph
80, 84, 68, 64, 57, 88, 61, 72, 76, 80, 83, 77, 78, 82, 65, 70, 83,78
73, 79, 70, 62, 69, 66, 79, 80, 86, 82, 73, 75, 71, 81, 74, 83, 77, 73
Answer:
Step-by-step explanation:
What number is a solution of the inequality c>5 use the number line to help answer the question
Answer:
I attached a file for the number line answering the question.
Step-by-step explanation:
Answer:
Any number more than 5
Step-by-step explanation:
Which statements are true about the circle shown? Check all that apply.
Step-by-step explanation:
A circle is only composed of the points on the borderThe distance around the circle is called circumferenceThe volume of which shapes can be found using the formula V = Bh?
Select all that apply.
Group of answer choices
right triangular prism
rectangular pyramid
triangular pyramid
rectangular prism
cone
Answer:
Triangular pyramid and Rectangular prism
Step-by-step explanation:
There are several different uses of the formula V = BH. For example, we used the formula V = BH for a cylinder, a rectangular prism, and a triangular pyramid. But be careful! All of the elements in the formulas don't mean the same! I really hope this helps you a bit!
Volume of the Right triangular prism and rectangular prism can be found by using the formula V= B×h
What is Volume?Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface
What is Base area?It refers to the area of one of the bases of a solid figure.
Given,
Volume V= B×h
Where B is the Base area and h is the height
Volume of the Right triangular prism and rectangular prism can be found by using the given formula V = B×h. Because two identical shapes (base) facing each other with a height h
But we cannot find the volume of the Rectangular pyramid, triangular pyramid and mid by using the given equation because this formula is used to find the volume of a geometric prism or cylinder.
Hence, Volume of the Right triangular prism and rectangular prism can be found by using the formula V= B×h
Learn more about Volume and Base area here
https://brainly.com/question/14991387
#SPJ2
What is the volume of the rectangular prism? Round your answer to the nearest Hundredth place if necessary.
Answer:
V = l×w×h units³
Step-by-step explanation:
The volume of a rectangular prism is V = l×w×h
Find the TOTAL surface area.
*
41 cm
18 cm
18 cm
Answer:
3600
Step-by-step explanation:
41*18*4=2952, 2952+(18*18*2)=3600.
How many times should she expect to roll a number that is greater than 4
the center of a circe is located at (1,3). The point (0,1) lies on the circle. Find the equation of the circle
Answer:
[tex](x-1)^{2}+(y-3)^{2} = 5[/tex]
Step-by-step explanation:
Given the general equation of a circle represented as:
[tex](x-a)^{2}+(y-b)^{2} = r^{2}[/tex] where:
(a, b) is the centre of the circle and r is the radius
Given the centre located a (1,3), to get the radius we will take the distance between the centre point of the circle the the point that lies on its circumference i.e (0,1).
Using the formula for calculating thee distance between 2 points, we have:
[tex]r = \sqrt{ (x2-x1)^{2}+(y2-y1)^{2}}[/tex]
x1 = 1, y1 = 3, x2 = 0, y2 = 1
[tex]r = \sqrt{ (0-1)^{2}+(1-3)^{2}}\\r=\sqrt{1^{2} +(-2)^{2}}\\r=\sqrt{1+4}\\r=\sqrt{5}[/tex]
Substituting this values of the centre and radius of the circle into the general equation of a circle we have:
[tex](x-1)^{2}+(y-3)^{2} = (\sqrt{5}) ^{2}\\(x-1)^{2}+(y-3)^{2} = 5[/tex]
This gives the required equation of the circle.
What is the median of the data: 1, 2, 3, 3, 5, 6, 8
What is the mode of the data: 1, 2, 3, 3, 5, 6, 8
What is the range of the data: 1, 2, 3, 3, 5, 6, 8
i need help fast
Median: The middle number in the data set when the
data set is written from least to greatest.
Since our data set is already written from least to greatest,
we can just look for the number that appears in the middle.
In this case, it would be 3.
Mode: The number that appears
most frequently in a data set.
Notice that the number 3 appears twice in the data set and no other
number appears more than once. So the mode is 3.
Range: The difference between the greatest number in
the data set and the least number in the data set.
Since the greatest number is 8 and the least number is 1,
the range of the data set will be 8 - 1 or 7.
A grocery store sells a party mix in 640 g bags. The ratio of pretzels to corn
chips is 5: 3. Determine the mass of the pretzels in the bag.
Answer: 400g
Step-by-step explanation:
The ratio of pretzels to corn chips is 5:3, which means that pretzels make up 5/8 of the party mix.
Mass of pretzels = 5/8 x 640g = 400g
what is 5 plus 6 plus 7 plus 8?
Answer:
26
Step-by-step explanation:
5 + 6 + 7 + 8 = 11 + 15 = 26
Hope it helps you in your learning process.
Answer:
26
Step-by-step explanation:
[tex]5+6+7+8\\\text {Add: }\\5+6+7+8\\11+7+8\\18+8\\\boxed {26}[/tex]
5+6+7+8 = 26
hi can someone help me with this I will thank u so much and give u stars and a thank u
Find the products mentally.
6.(0.8).2
(4.5) . (0.6) .4
Answer:
i think it is .64
Step-by-step explanation:
How do I find out if this is an infinite solution
4(x-2) + 7 = 4x - 1
Answer:
x = all real numbers, infinite solutions
Step-by-step explanation:
4(x-2) + 7 = 4x - 1
Distribute
4x -8+7 = 4x-1
Combine like terms
4x -1 = 4x-1
Subtract 4x from each side
4x-1 -4x = 4x-1-4x
-1 = -1
This is always true so there are infinite solutions for x
9x − 9y = 18
y = 8
Solve a system of equations using substitution.
Answer: x = 10
Step-by-step explanation:
Answer: x=10
Step-by-step explanation: 9(8)= 72, 72+18=90, 90/9= 10
A store is having a sale on walnuts and chocolate chips. For 12 pounds of walnuts and 2 pounds of chocolate chips, the total cost is $45. For 3 pounds of walnuts and 5 pounds of chocolate chips, the total cost is $18. Find the cost for each pound of walnuts and each pound of chocolate chips.
cost for each pound of walnuts:
cost for each pound of chocolate chips:
Answer:
Each pound of walnuts cost $3.50 and each pound of chocolate chips cost $1.50
Step-by-step explanation:
Let the cost of one pound of walnuts = $w
and the cost of one pound of chocolate chips = $c
Cost of 12 pounds of walnuts and 2 pounds of chocolate chips = $45
12w + 2c = 45 ------(1)
Cost of 3 pounds of walnuts and 5 pounds of chocolate chips = $18
3w + 5c = 18 --------(2)
Multiply equation (2) by 4 then subtract it from equation (1)
(12w + 2c) - (12w + 20c) = 45 - 72
-18c = -27
c = [tex]\frac{27}{18}[/tex]
c = $1.5
Substitute c = 1.5 in equation (1),
12w + 2(1.5) = 45
12w = 45 - 3
w = [tex]\frac{42}{12}[/tex]
w = $3.5
Therefore, each pound of walnuts cost $3.5 and each pound of chocolate chips cost $1.5
Here are the first four terms of an arithmetic sequence.
5
12
19
26
Write down an expression, in terms of n, for the nth term of the sequence.
Answer:
nth term = 7n - 2
Step-by-step explanation:
The first 4 term of the arithmetic sequence is 5, 12 , 19 and 26. The expression in terms of nth term that model this sequence can be express below
The nth term of the arithmetic sequence form can be represented as follows.
nth = a + (n - 1)d
where
a = first term
d = common difference
Therefore,
a = 5
d = 12 - 5 = 7 or 19 - 12 = 7 or 26 - 19 = 7
nth = a + (n - 1)d
nth term = 5 + (n - 1)7
nth term = 5 + 7n - 7
nth term = 7n - 2
Point M is the midpoint of AB¯¯¯¯¯¯¯¯. Find the length of AB¯¯¯¯¯¯¯¯.
Answer:
AB = 142
Step-by-step explanation:
If M is the midpoint, then AM = MB
6x+5 = 7x -6
Subtract 6x from each side
6x-6x+5 = 7x-6x -6
5 = x-6
Add 6 to each side
5+6 = x-6+6
11=x
We want to find AB
AB = 6x+5+7x-6
AB = 13x -1
= 13(11) -1
=143-1
= 142
your friend's house is 7.5 miles north and 10 miles west of the zoo. How far is your friend's house from the zoo?
Answer:
2.5 miles
Step-by-step explanation:
What is the area of the parallelogram?
A parallelogram with base of 20 centimeters, height of 15 centimeters, and side length 21 centimeters.