Answer:
What is factoring?
Factoring is finding what to multiply to find an expression. It is like splitting expression into a multiplication of simplified expression.
Why is it useful to try to factor out the GCF first when factoring?
Greatest common factor or GCF of two numbers is the largest number that divides evenly in both numbers, GCF works the same in polynomials, which divide the expression evenly .
Explain the relationship between factoring and multiplying polynomials. Give an example to help explain
Factoring take away the multiplication, to factorize a polynomial it means take apart what is multiplied. the best example is a²+b²+2ab ( multiplied)
factorize :(a+b)(a+b) take apart what is multiplied
Factor x^2-25, 3x^2-12x-15, and x^3+2x^2+3x+6
x²-25 =(x+5)(x-5)
3x²-12x-15 = 3(x²-4x-5) GCF=3
3(x-5)(x+1)
x³+2x²+3x+6 (x+2) common factor
(x+2)(x²+3)
What are the key features needed to graph a polynomial function?
the key features are the vertex, axis of symmetry, x and y intercept
Explain how to find these key features to sketch a rough graph of a polynomial function
parabola : y=ax²+bx+c
ex: 3x²-12x-15
find vertex (h,k)
h=-b/2a =-(-12)/2(3)=2
k=f(h)=f(2)=3(2)²-12(2)-15
k=12-24-15=-27
vertex=(2,-27)
x intercept is when the graph =0 (y=0)
y intercept when x=0 then y= the constant c and where the graph cross the y axis
axis of symmetry is the x of the vertex: is a line about which a parabola is symmetrical and vertical when the axis of symmetric is vertical.
Why would someone want to factor a polynomial? Provide real world examples of different questions we can answer or facts we can determine from factoring a polynomial.
factor a polynomial helps us understand more about equations,factoring helps us rewrite the polynomial into simpler expression.
example from real life:
A homeowner has a back yard and wants to turn it to garden beds so he can plant his vegetables, he wants to fill it with dirt he needs 240 cubic feet to fill it the length is 4 feet than the width , and the height is 4
solve:
length=W+4
height=1/3 w
V=length* width* height
240=(w+4)(w)(4)
351= 4w²+16w
4w²+16w-240=0
take 4 as common factor
4(w²+4w-60)
now factorize:
4(w-6)(w+10)=0
Step-by-step explanation:
PLEASE BRAINLIEST
im so confused pls help !!!!!
please help i’ll literally give brainlest if you show on a piece of paper or help!
no unnecessary comments
no links
i’ll take back my points if any bad comments!
thank you!!
please help:(
I WILL REPORT YOU IF THERE IS ANY LINKS STOP.
PLEASE HELP, I'LL GIVE YOU POINTS LATER IF I FIGURE OUT HOW TO, NO LINKS OR I WILL REPORT
A weatherman reports the most recent eight days of high and low temperatures.
highs: 105, 100, 98, 104, 103, 100, 102, 91
lows: 75, 78, 72, 78, 80, 75, 77, 81
Determine possible outliers for each of the high and low temperature records. In the form of a paragraph, describe in complete sentences, what factors (mathematical or theoretical) led you to your conclusion. Complete your work in the space provided or upload a file that can display math symbols if your work requires it.
Answer:43-2 105= 98 times = 81 lows = 75
Step-by-step explanation:
How many students were surveyed?
Please answer! Brainliest will be given, thanks :)
Answer:
2600, 3400, 5000, 7000
Step-by-step explanation:
This equation can be simplified to 200n + 1000. Now we can just plug in the amount of customers. 200 * 8 + 1000 = 2600. 200 * 12 + 1000 = 3400. 200 * 20 + 1000 = 5000, and 200 * 30 + 1000 = 7000.
Write an integer to represent each situation:
Jillian deposited $47 he received for his birthday
The sum of the three consecutive integers is -27. What is the product of the smallest and largest of the three integers?
Answer:
B. 80
Step-by-step explanation:
3 consecutive integers: x-1 , x , x+1
(x-1) + x + (x+1) = -27
3x = -27
x = -9
smallest: -9-1 : -10
largest: -9+1 : -8
product of the smallest and largest of the three integers: (-10)*(-8)=80
The product of the smallest and largest of the three integers is 80. Then the correct option is B.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Let the three consecutive terms be n, n + 1, and n + 2. Then the equation is given as,
n + n + 1 + n + 2 = - 27
3n = - 30
n = - 10
The third number is calculated as,
n + 2 = - 10 + 2 = -8
The product of the smallest and largest of the three integers is calculated as,
⇒ (- 10) x (- 8)
⇒ 80
Thus, the correct option is B.
More about the Algebra link is given below.
https://brainly.com/question/953809
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I need help explaining, I know the answer, but I don't know how I got the answer
Find the interest
principal 20,000
rate 12%
Time 3 months
Answer:
The interest is +7466.6 per month.
Ok, I'm going to do this question again. Can someone PLEASE help me. This is due and I need to get it done. Answer it right please.
The independent variable would be the one that could stand alone. So which one makes more sense? The amount of trips depends on how many buckets there are or the amount of buckets depends on the amount of trips?
Since the amount of trips DEPENDS on the amount of buckets... the amount of trips is the dependent and the buckets is the independent. so since there are 2 buckets carried up to hill for 1 trip, the first row on the table should look like this
2 1 (2,1)
So how many buckets would be on the hill after the second trip?
Well there are 2 more and 2 + 2 is 4. 2 trips = 4 buckets. So the next row would look like this
4. 2. (4,2)
Then u just keep going. Hint: Independent variable is counting by twos and dependent variable is counting by one's.
Then you graph the ordered pairs.
Hope this helped :)
Pamela drove her car 999999 kilometers and used 999 liters of fuel. She wants to know how many kilometers (k) right parenthesis she can drive with 121212 liters of fuel. She assumes the relationship between kilometers and fuel is proportional.How many kilometers can Pamela drive with 121212 liters of fuel?
Answer:
Looking at the first example Pamela could drive 1212 kilometers with that much fuel
Step-by-step explanation:
No explanation it's just logical.
can someone help me please ??
Answer: discount and a sales price is: 114.75
With total with tax is: 122.20875
Step-by-step explanation:
I got this by see what the price was with the discount and then adding on the tax
Answer and Step-by-step explanation:
Discount: 135(.15)=20.25
Sale price (without tax): 135-20.25=114.75
Tax (after discount): 114.75(.065)=7.45875 (7.46 rounded)
Total with tax: 114.75+7.46=122.21
A 9-inch diameter pizza has 30 calories per square inch. About how many calories are in the entire pizza?
Use 3.14 for pi.
Answer:
113.04 calories
Step-by-step explanation:
please mark answer as brainlest
The whole pizza will have 1908 calories.
What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object. The space enclosed by the boundary of a plane figure is called its area.
Given that, a 9-inch pizza has 30 calories per inch² we need to find that how many calories are in the entire pizza,
For finding the same we will find the area of the pizza,
Area = π × radius²
= 3.14 × 4.5²
= 63.6
Therefore, the area of the pizza is 63.6 in²
Since, 1 in² = 30 calories
So, 63.6 in² = 30 × 63.6 = 1908 calories.
Hence the whole pizza will have 1908 calories.
Learn more about areas, click;
https://brainly.com/question/27683633
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Samuel used clay to make a diorama of the pyramids in Ancient Egypt. He made two triangular pyramids and three rectangular pyramids. How much clay did he use to create all the pyramids
Answer:
124.16 cubic meter of clay will be used to create all the pyramids
Solution
The total clay used is equal to the sum of volumes of two triangular and three rectangular pyramids.
For Rectangular Pyramid,
Volume of three rectangular pyramids
3 * BH/3 = BH
Substituting the given values in above equation, we get -
15.5 * 5 = 77.5 cubic centimeter
For triangular Pyramid,
Volume of two triangular pyramids
2 * BH/3
2* 10 * 7/ 3
46.67 cubic centimeter
Total clay used = Volume of 3 rectangular pyramid + volume of 2 triangular pyramid = 77.7 + 46.67 = 124.16 Cubic centimeter
The mean for Set A is 28 and the mean for set B is 32.5. The mean absolute deviation (MAD) is 3. What is the difference of the means as a multiple of the mean absolute deviation (MAD)?
The difference of the means as a multiple of the MAD is
Answer:
-13.5
Step-by-step explanation:
Answer:
-13.5
Step-by-step explanation:
The graph shows Elizabeth’s speed during a 55-minute run. During which time interval did Elizabeth’s speed increase?
Answer:
0 - 5
Step-by-step explanation:
solve for the x- x/3-6+4
the answer that I got was 0. so the answer would be 0
Answer:
Solution= x + -x over three equals minus two
+
−
3
−
2
Step-by-step explanation:
x - 1 . x over three - 6+4
Combine multiplied terms into a single fraction
have a nice day remember don’t let anyway push you down
PLS ANSWER ASAP NEED HELP!!!!!!
Answer: it’s b
Step-by-step explanation:
60+95=155. 50+70=120. 155-35=120
Can sum1 HELP ASAP PLSLSLSLSL
Answer:
Ik thsi ik this ik this ok its D.
Step-by-step explanation:
The anser is D. bc it lists all possible outcomes
Answer:
d
Step-by-step explanation:
will give brainliest
Answer:
36 in
Step-by-step explanation:
4*3=12, 12*3=36. also plz give me brainliest.
Answer:
[tex]\frac{9}{16} in^3[/tex]
Step-by-step explanation:
First we need to find the volume of the cube. To do so, we need to multiply length × width × height
[tex]\frac{3}{4} * \frac{3}{4} * 1 = 0.5625[/tex]
Convert to a fraction
[tex]9/16 = 0.5625 = \frac{9}{16}[/tex]
Since we can not simplify this fraction to [tex]\frac{1}{4}[/tex] that is our answer. Since these cubes are in inches we need to add inch/in to the end. Also since this is the 3D cube we need to add ^3
[tex]\frac{9}{16} in^3[/tex]
the following graph shows the number of soccer games a team won in each of their three seasons. Explain how you could redraw the graph so the change in wins between the three seasons does not seem so great.
Answer:
you can instead draw a 4x3 graph, and just shrink the width to make it look like there was a bigger dip in between seasons. so season 1 would be under the first box, the second season under the second box, and the third season under the third box. this would then make the slope downward to therefore make the graph look like a bigger drop
help and explain how you got the answer
pls give an actual answer
Answer:
Part A:
mean: 4.7
median: 4.5
mode: 6
The range is 10 so i think in this situation the variability is high becaue 10 miles is a lot more than 2 miles or 0 miles
Part B:
No, even though the mode is 6 it makes more sense to use the medain or mean to get as close as posible to about how much she rides each day
Garrett can complete four laps around the track in 7 minutes and 45 seconds. How many FULL LAPS can he complete in 1 hour?
Answer: N/A
Step-by-step explanation:
this answer is not physically possible cause the human body is not capable of going that fast continually for an hour. If you are in athletics and run everyday you would understand. i mean come on don't believe me? your try.
Help pls thanks!!!!!!!!!
Answer:
It will take Julie 2.4 hours to make $30.34
Step-by-step explanation:
⇒ 30.34 = 12.6h + 0.1
⇒ 30.34 -0.1 = 12.6h + 0.1 -0.1
⇒ 30.24 = 12.6h
⇒ 30.24/12.6 = 12.6h/12.6
⇒ 2.4 = h
Hope this helps, GoodLuck!
If p ≥ 4 is p ≤ 3 (TRUE OR FALSE)
Answer:
false
Step-by-step explanation:
Answer:
FalseStep-by-step explanation:
This is because if p is greater than or equal to 4 then as 4 is bigger than 3 so p should always be greater than it not less than it.
So, the above statement is false.
8. A number k is decreased by 8 and the results is multiplied by 8. This product is then divided by 2. What is the final results?
f. 8k -4
g. 4k -8
h. 4k -32
j. 8k -64
Which is not a pair of congruent angles in the diagram below
angles ABD and BAD
angles BCD and BAD
angles BDA and DBC
angles ABD and BDC
Answer:
Angles ABD and BAD
Explanation:
Since in both angles the congruency mark of angles are different
Hope this helps!
Charity sold 110 cookies for $0.75 each. Her cost to make each cookie was $0.20 plus $20 for boxes. How much profit will charity make on this sale?
A $64.50
B $62.50
C$60.50
D$40.50. Please I really need HELP !!!
A triangle has side lengths 7 and 4. How long is the third side, c?
Answer:
5,7, or 9
Step-by-step explanation:
a,b and c are the sides of a triangle if it satisfies:
a<b+c , b<a+c and c<b+a
Here, a=4 and b=7
We have to find c
i.e. all those c which satisfies:
4<7+c , 7<4+c and c<4+7=11
Answer:
9
Step-by-step explanation:
Please help as soon as possible!
For the answer I find most helpful and easy to understand, I will mark Brainliest.
Roller Coaster Crew
Ray and Kelsey have summer internships at an engineering firm. As part of their internship, they get to assist in the planning of a brand new roller coaster. For this assignment, you help Ray and Kelsey as they tackle the math behind some simple curves in the coaster's track.
Part A
The first part of Ray and Kelsey's roller coaster is a curved pattern that can be represented by a polynomial function.
1. Ray and Kelsey are working to graph a third-degree polynomial function that represents the first pattern in the coaster plan. Ray says the third-degree polynomial has four intercepts. Kelsey argues the function can have as many as three zeros only. Is there a way for the both of them to be correct? Explain your answer.
2. Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros.
g(x) = (x + 2)(x − 1)(x − 2)
g(x) = (x + 3)(x + 2)(x − 3)
g(x) = (x + 2)(x − 2)(x − 3)
g(x) = (x + 5)(x + 2)(x − 5)
g(x) = (x + 7)(x + 1)(x − 1)
3. Create a graph of the polynomial function you selected from Question 2.
Answer:
I found the answer on quizlet and it helped me a lot :)
Step-by-step explanation:
just look up your question on quizlet then tap on a quiz then tap on view flashcards and once you see your question stop and tap the flashcard then the flashcard will flip and your answer will be on the back of it
ummmm, what?????? could i get some nice help
Answer:
It is A
Step-by-step explanation:
Answer:
A
Step-by-step explanation: