When x = a is a zero of a polynomial function f, the three statements below are true.
(a) x = a is a ---Select--- A of the polynomial equation f(x) = 0.
(b) ---Select-- A is a factor of the polynomial f(x).
(c) (a,0) is a ---Select--- of the graph of f.
Answer:
x = a is a zero of a polinomial f(x), this is the same than: f(x) has a root at x = a
Then: f(a) = 0.
a) x = a is a ____ of the polynomial equation f(x) = 0.
If we define f(x) = 0, then x = a is a solution of the equation.
Then the complete sentence is:
x = a is a solution of the polynomial equation f(x) = 0.
b) ____ is a factor of the polynomial f(x).
Remember that if a polynomial p(x) of degree n has the roots x₁, x₂, ..., xₙ
Then we can write p(x) in the factorized form as:
p(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)
Where A is a real number.
Then if in this case we know that a is a root of f(x), then (x - a) is a factor of the polynomial f(x), then the complete sentence is:
(x - a) is a factor of the polynomial f(x).
c) (a, 0) is a ____ of the graph f(x)
We usually use the notation y = f(x).
Then the points of the form (x, f(x)) are the points that belong to the graph of f(x).
In this case, the point (a, f(a)) = (a, 0)
This point belongs to the graph of f(x), then the complete sentence can be written as:
(a, 0) is a point of the graph f(x).
Someone please help me I need help .
Answer:
It’s the last option; 10/24 and 20/24
Determine the area of the composite figure to the nearest whole number.
26 cm2
B)
38 cm?
46 cm2
85 cm2
Step-by-step explanation:
Area of rectangle= l×b
= 4cm×6cm
= 24cm²
Area of circle. = πr²
radius of circle = diameter÷2=6÷2=3cm
Area of circle. = 3.14×3²=3.14×9
Area of circle. = 28.26cm²
[tex]area \: of \: composite \: figure = area \: of \: circle \: + area \: of \: rectangle[/tex]
Area of........... = 28.26cm²+24cm²
= 52.26cm²
PLEASE MARK BRAINLIEST.
The area of the composite shape is: B. 38 cm²
What is the Area of a Composite Shape?Area of a composite shape = sum of the area of each shape that makes up the composite shape.
Thus:
Area of composite shape = area of semicircle + area of rectangle
= 1/2πr² + length × width
Radius (r) = 1/2(6) = 3 cm
Length = 6 cm
Width = 4 cm
Substitute
Area of composite shape = 1/2(3.14)(3²) + 6 × 4
Area of composite shape = 38 cm²
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If 2/3x - 1 = 4 , then x =
Answer:
2/5
Step-by-step explanation:
After solving the given equation, we get the value of x is
What is Equation?"An equation is a statement of equality between two expressions consisting of variables and/or numbers."
Solve the given equation, to find the value of x
[tex]\frac{2x}{3}-1 =4\\\frac{2x-3}{3}=4\\ 2x-3=12\\2x=15\\x=\frac{15}{2}\\ x=7.5[/tex]
Hence, the value of x is 7.5
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True or false? The graph represents a function
5
-5
A True
B. False
Answer:
True
Step-by-step explanation:
It passes the vertical line test, meaning you can draw a vertical line anywhere on the graph and it will only intersect at one point
this means that for every input (x value) there is only one output (y value)
Yes, The graph represents a function.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to show a graph.
Now, We know that;
The vertical line test, meaning you can draw a vertical line anywhere on the graph and it will only intersect at one point, then it represent a function.
Here, The graph satisfy vertical line test, this means that for every input (x value) there is only one output (y value).
Thus, The graph represents a function.
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A 1x1 square and an n-tiling is a group of n tiles placed so that every tile is contiguous along at least one side to another tile. (The tiles cannot be offset. That is, they must be placed into a grid like Scrabble tiles.) The edge length of a tiling is the total length of edges that are not touching other tiles. For instance, a 20-tiling, the edge length is 36.
Required:
Prove that for all n-tilings where n >= 1, the edge length is even.
Answer:
Step-by-step explanation:
The first picture below shows the missing image in the question.
There are 4 edges of each tile;
This clearly explains to us that the total number of edges present in the n tiles is 4n.
Now, if a tile "X" touches and comes in contact with another tile "Y", then edges touching each other are one edge of a tile X and one edge of a tile Y.
From the second diagram below, the edge, X_2, and Y_4 are touching each other.
Now, the total number of edges that touch some edges is always even.
We can now say that:
The edge length of filling = No. of edges that do not touch another file
= Total no. of edges - No. of edges that touch another edge.
However, the total number of edges is even.
The number of edges that touch another edge is also even.
Thus, the difference is also even and the number of edges that do not touch another is even.
So, the edge length of filling is always even.
Plllllssssssss Brainliest yo first answer pleassseeee
Answer:
26 mm
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
you use the Pythagorean theorem so it look like: 10^2 + 24^2 = c^2
then u solve with algebra
Is it against the law to be a Communist in the United States of America?
Answer:
no.
Step-by-step explanation:
Answer:
I don't believe there is any laws specifically saying that its illegal, but its probably not advised.
Help pls number 17 show work if needed!ty!
Answer:
Step-by-step explanation:
Use the coordinates of two points to determine the slope of the line through them.
Using (3,105) and (1,35): slope = (105-35)/(3-1) = 35
Point-slope equation for line of slope 35 passing through (1,35):
y-35 = 35(x-1)
y = 35x, which is equivalent to Brian's equation.
Decrease 100kg by 10%
pls explain
Answer:
90k
Step-by-step explanation:
10% of 100k leaves 90%
so 90% of 100k = 0.9(100k) = 90k
Answer:
90kg
Step-by-step explanation:
Decreasing 10% of anything is just 1 - 0.1 times it. 1 - 0.1 is equal to 0.9, so decreasing 10% of anything is just multiplying it by 0.9. 100kg multiplied by 0.9 is 90 kg.
g(t)= t^2 + 3
h(t) = 4t – 3
Find (g · h)(-1)
Answer:
fifty-two. Explanation: g(h(−1 ))=g(x). x=h(−1)=4(−1)−3=−4−3=−7. g(x)= g(−7)=72+3=49+3=52.
Jerome makes and sells his own energy drinks. He mixes powdered drink mix with water to create his own special blend.
Jerome usually uses 8 cups of water and 3 cups of drink mix. Tomorrow, there is a road race in town, however, and Jerome thinks he’ll be able to sell a lot more of his energy drinks than usual.
Jerome’s brother told him to add one cup of water for every one cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.
Jerome’s sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio the same and still increase the total amount of energy drink.
Who is correct: Jerome’s brother or Jerome’s sister?
Answer:
Jerome's brother
Step-by-step explanation:
solve this in a class of 80 students studying for a national examination test for student study English 29 study history 14233 cafe to study English and History for to study geography and history and its study English and geography wife or did not study any of the three subject question 1 how many students study three subjects question two how many student study are any combination of the two subjects
Answer:
The first thing I am going to say about the Olympic Games is the way the world is in its own right now and the conclusion sentence is a bit of a mystery for you to see if it can get a bit more interesting and more interesting to the point of view and see what the other person has to do to the other person or the person you are in
Help!!! Asap!! Will give out brainliest!! Need to explain how you did it please and thanks!! Just look at the picture attached!! Thank you so much!!
9) Which piecewise function is shown on the graph?
8
[485 - 5, ICO
f(3) = 3 0 SI56
-- - 7, I>6
6
2
(-4e5 – 5, I<0
(*) = 3
03:36
|-+7 >6
.
>
2
-6
-3
(465 - 5, ICO
0 SI56
1-5+7,> 6
(ges + 5, sco
f(1) = 3
0 SI56
= + 7
I>6
9514 1404 393
Answer:
C f(x) = {4e^x -5, ..., -x +7, ...
Step-by-step explanation:
The easiest portion to check is the constant section in the interval [0, 6]. All of the function definitions agree on that, so that doesn't help choose the right answer.
__
Next easiest is the linear section at the right. It has a negative slope. Extension of the line to the y-axis shows it has a positive y-intercept. This eliminates choices A and D.
__
The horizontal asymptote of the exponential portion at the left is -5. Both of the remaining choices B and C agree on that. The exponential is increasing at an increasing rate, so its coefficient is positive. This eliminates choice B.
The appropriate description of the function on the graph is offered by choice C.
_____
The graph below plots the function. We note that the given graph seems to show the exponential curve incorrectly.
Roger has to place cookies in plastic bags for a bake sale. He has 84 sugar cookies and 66 chocolate chip cookies. He wants to place the same number of cookies in each bag, wants to make sure that only one type of cookie goes into each bag, and wants to put the most cookies he can in each bag. How many cookies should be in each bag
Answer:
6 cookies
Step-by-step explanation:
Roger wants to place 84 sugar cookies and 66 chocolate chip cookies into plastic bags. Each bag must have the same number of cookies and only one type of cookie must be in each bag.
For the 84 sugar cookies:
number of cookies : 1 2 3 4 6 7 12 14 21 28 42 84
number of bags : 84 42 28 21 14 12 7 6 4 3 2 1
For the 66 chocolate cookies:
number of cookies : 1 2 3 6 11 22 33 66
number of bags : 66 33 22 11 6 3 2 1
The maximum common factor between 84 and 66 is 6.
Therefore 6 cookies should be placed in each bag. For sugar cookies, 6 cookies would be placed in each of the 14 bags while for the chocolate cookies, 6 cookies would be placed in each of the 11 bags.
Which of the sets of equations represent the two lines graphed?
A)y=x+2 and y=x-4
B)y=x+2 and y=-x-4
C)y=-x+2 and y=x-4
D)y=x-2 and y=-x-4
Answer:
y = x + 2
y =-x - 4
Step-by-step explanation:
Find the slope and y-intercept of each lines to write the equation in slope intercept form: y = mx + b where m is the slope and b is the y-intercept
I will give extra points please help
Answer:
22
Step-by-step explanation:
You can substitute a with 15. So now, the equation is 2(15 - 5) + 2.
We can use PEMDAS to solve this equation now. Since the P is first in PEMDAS, we have to solve what's inside the parentheses first. 15 - 5 would be 10. So now the equation is 2(10) + 2.
There's no more to solve in the parentheses, so we can move on to multiplication. 2(10) would be 20. So now the equation is 20 + 2.
Add 20 + 2 and you get 22. Hope that helps!
Yi Min owns a small store. The first month the store was
open, she made $1,375 in profit. During the next month, she
advertised in the local newspaper and saw a 60% increase
in profit. How much profit did she make the second month?
Yi Min owns a small store. The first month the store was
open, she made $1,375 in profit. During the next month, she
advertised in the local newspaper and saw a 60% increase
in profit. How much profit did she make the second month?
'Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100.
60% = 60/100 = 60 ÷ 100 = 0.6.
100% = 100/100 = 100 ÷ 100 = 1.
PLEASE HELP ITS DUE IN 39 minutes
For each graph below state weather it represents a function
Graph 1
Graph 2
Graph 3
Graph 4
Graph 5
Graph 6
Answer:
Graph 4
Step-by-step explanation:
QUICK HELP!!!!
One less than the product of 10 and a number Use the variable n to represent the unknown number.
Answer:
the unkniwn number if the variable would be 16
Step-by-step explanation:
bc if u divie 10 by 6 its eguals up to 11 then u add 5 and it equals 16
HELP HELP HELP ME PLEASE-
the answer is C or E lol because it's asking I've you put > in between both of them which one would be wrong if you put > in between them I look over them it would be c or e
A recipe for cookies called for 2/3 of a cup of sugar per batch.Elena used 5 1/3 cups of sugar to make multiple batches of cookies. How many batches did she make?
Answer: 8 batches
explanation: 5 1/3 divided by 2/3 equals 8. To find out how many batches were made, you need to divide the total amount used by the amount needed for one batch.
Answer:
8 batches
Step-by-step explanation:
I divided 2/3 by 5 1/3
The price of a math textbook can be modeled by the equation:
y = 22 + 76, where x is time in years and y is the price of
the textbook. This equation tells us that the textbook originally
cost $76 and each year the cost went up $2. How many years
will it take for the textbook to cost $100?
Answer:
I am not sure if you have to be a good time
The length, width, and height of the wooden box are 12.3 inches, 6.4 inches, and 7.5 inches respectively. The cost of painting the box is $0.25 per square inches. Find the total cost of painting the box.
Answer:
Step-by-step explanation:
Formula
The first thing you must do is find the surface area. The formula is right below this sentence.
Surface area = 2*L*w + 2*L*h + 2 * w * h Substitute givens into this formula
L = lengthw = widthh = heightThe choice of what to make the Length, width and height is arbitrary
Givens
L = 12.3 inchesw = 7.5 inchesh = 6.4 inchesSolution
Surface area = 2*12.3*7.5 + 2*12.3*6.4 + 2*7.5*6.4
Surface area = 184.5 + 157.44 + 96
Surface area = 437.94 in^2
Cost of Paint
The question is not really about Surface Area. The question is about the cost of paint given that 1 square inch costs 0.25 dollars.
Cost = Surface Area * 0.25
Cost = 109.485 dollars or
Cost = 109.49 rounded.
it would be amazing if you can help me with this !
Answer:
Step-by-step explanation:
Blank 1 = " x "
Blank 2 = " 3 "
Read the problem and decide whether it has too much or too little
information.
Harvey the Huge once lifted a box filled with 100 bricks and 50 rocks. Each
brick weighed 10 pounds. The rocks were all fairly small. What is the total
weight of what Harvey lifted?
A. Too little
B. Too much
Answer:
B. Too little information.
Step-by-step explanation:
The information provided in the problem is sufficient to determine the total weight of what Harvey lifted. Therefore, the problem has:
B. Too little information.
You buy shrimp at the market.
The shrimp cost $34.99 for two 2.5-pound bags.
What is the unit rate of the shrimp in dollars per pound?
Find the unit rate to the nearest dollar.
Options: $30 per pound $0.14 per pound $7 per pound $14 per pound
what is a wvgsa test? and how can I study
Answer:
http://wv.portal.airast.org/training-tests.stml
Step-by-step explanation:
copy this link into your url search that should help.
A furniture salesman makes 3.5% commission. Her monthly sales are $18,545. Her annual salary is $18,995.80. What’s her monthly pay? Write just the value that represents your answer.
Using proportions, it is found that her monthly salary is of $1,528.9.
What is a proportion?A proportion is a fraction of total amount.
In this problem, her monthly sales are $18,545, with a commission of 3.5%, hence, in commission, the amount she makes is:
0.035 x 18545 = 649.075
Her annual salary is $18,995.80, of which 18995.80 - 649 = $18,346.8 she receives in 12 payments, hence:
18,346.8/12 = $1,528.9.
Her monthly salary is of $1,528.9.
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Hendrick read b books in January, twice that amount in February, and I book in March
please help me fast
Answer:
in total? if so it is 3b +1 books
Step-by-step explanation: