Answer:
(x − 4)(x − 12)
Step-by-step explanation:
The factored form of the polynomial x² - 16x + 48 is (x - 4)(x - 12).
Option A is the correct answer.
Polynomial is an equation written with terms of the form kx^n.
where k and n are positive integers.
There are quadratic polynomials and cubic polynomials.
Example:
2x³ + 4x² + 4x + 9 is a cubic polynomial.
4x² + 7x + 8 is a quadratic polynomial.
We have,
Now we can rewrite the middle term -16x as -4x - 12x and group the terms as follows:
x² - 16x + 48 = x² - 4x - 12x + 48
= (x² - 4x) + (-12x + 48)
= x(x - 4) - 12(x - 4)
= (x - 4)(x - 12)
Therefore,
The factored form of the polynomial x² - 16x + 48 is (x - 4)(x - 12).
Learn more about polynomials here:
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Please can someone help me !!
Answer:
Step-by-step explanation:
for question 4, the x= 116 °
they are just trying to show you that the degrees of the arc, is also the degrees of the angle from the center point of the circle.. and then they will get "tricky" with that idea :/
for question 5 x = 90 °
they just want you to recognize that a "tangent" line is 90 ° is all
for question 6 they want you to know this formula
(b -a) /2 where b = the bigger arc and a is the smaller arc
so (134 - 54) /2
80 / 2
40 °
the answer to 6 is 40 °
leave a comment if you want more explanation of how I got those :)
the measures of the angles of a triangle are shown below. find the measure of the smallest angle
Answer:
Step-by-step explanation:
44+9x+18+5x+20=180
14x+82=180
14x=180-82=98
x=98/14=7
other angles are
9x+18=9×7+18=81°
and 5x+20=5×7+20=55°
so angles are 44°,55°,81°
so smallest angle=44°
a 24 foot tall streetlight casts a shadow that is 18 feet long. how long of a shadow is cast by a nearby parking meter post that is 4 feet high?
9514 1404 393
Answer:
3 ft
Step-by-step explanation:
The post is 4/24 = 1/6 as tall as the streetlight, so we expect its shadow to be 1/6 as long as that of the streetlight:
(1/6)(18 ft) = 3 ft
The parking meter post shadow is 3 feet long.
If f(x) = 3-x, what is f(2)?
Answer:
f(x) = 3 - x
x = 2
f(2) = 3 - 2
f(2) = 1
3/4 divided by 1/4 help can you teach me how to do it to
Answer:
3/4 divided by 1/4 = 3
Step-by-step explanation:
When we divide two fractions, such as 3/4 ÷ 1/4, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.
We also simplify the answers to fraction problems whenever possible.
Answer:
3
Step-by-step explanation:
=(3/4)(4/1)
kcf (keep, change, flip)
so we're keeping 3/4 the same then we're changing it from division to multiplication and fliping 1/4 to 4/1 (as shown above)
3*4=12 and 4*1=4
so our new fraction is 12/4
12/4 is an improper fraction and 12 divided by 4 is 3
good luck :)
i hope this helps
have a great day !!
What is BD? Thank you!
Answer:
Option C.8 will be your answer
Step-by-step explanation:
[tex](bd) ^{2} = 4(16)[/tex]
[tex]bd = \sqrt{64} [/tex]
[tex]bd = 8[/tex]
hope it helps...
Mr. Haines drives 12 kilometers from home to work each day. How many meters are equal to 12 kilometers?
Answer:
12000 meters
Step-by-step explanation:
Answer:
12,000 m
Step-by-step explanation:
1 km = 1000 m
12 km = 12 * 1 km = 12 * 1000 m = 12,000 m
what is the area of yhe following circle?either an exact answer in terms of or use 3.14 for and enter your ansert as a decimal
r=5
units2
Answer and Step-by-step explanation:
If the radius is 5, then we can plug 5 into the area of a circle equation.
A = [tex]\pi r^{2}[/tex]
A = [tex]\pi (5)^{2}[/tex]
A = 25[tex]\pi[/tex]
The area of a circle with radius 5 is 25[tex]\pi[/tex].
#teamtrees #PAW (Plant And Water)
a fair coin is flipped four times . use a tree diagram to find the probability of observing. exactly two heads . enter youe answer as a percentage to the nearesr percent
The probability of observing exactly two heads when a fair coin is flipped four times is found to the nearest percent to be 38%.
What is probability?It is the ratio that shows the likelihood of an event occurring out of all the other possible events.
The tree diagram is drawn. The tree diagram is labeled such that the red lines represent the number of times exactly two heads are observed. The total number of events where exactly two heads are observed = 6The total number of events = 16∴ P( Getting exactly two heads when a coin is flipped four times) = 6/16 = 0.375
Convert the into percent as follows:0.375*100 = 37.5%
≈ 38%
Therefore, we have found the probability of observing exactly two heads when the coins are flipped four times to the nearest percent as 38%.
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art teacher has 450 sheets of construction paper on first day of school. students used 18 sheets during each school day. how many school days did the construction paper last?
Answer:
25
Step-by-step explanation:
025
18 |450
- 36
090
- 90
00
PLEASE HELP ILL MARK BRAINIEST
Answer:
Length of pendulum = 72 feet
Step-by-step explanation:
Given:
Time period (T) = 9.42
pi = 3.14
According to question,
T = 2 x pi x root(L/32)
9.42 = 2 x 3.14 x root(L/32)
9.42 = 6.28 × root (L/32)
9.42/6.28 = root(L/32)
1.5 = root(L/32)
Squaring both sides,
2.25 = L/32
L = 2.25 x 32
L = 72
Answer:
L=72
Step-by-step explanation:
T=2pi[tex]\sqrt{L/32\\}[/tex]
9.42 = (2 x 3.14)[tex]\sqrt{L/32}[/tex]
1.5=[tex]\sqrt{L/32}[/tex]
2.25 = L/32 (I squared both sides)
L=72
Hope this Helps
Simplify.
5a√2+3a√2
16a
8
8a
Answer:
8a[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Given
5a[tex]\sqrt{2}[/tex] + 3a[tex]\sqrt{2}[/tex] ← factor out [tex]\sqrt{2}[/tex] from each term
= [tex]\sqrt{2}[/tex] (5a + 3a)
= 8a[tex]\sqrt{2}[/tex]
Yolanda will run more than 33 miles this week. So far, she has run 18 miles. What are the possible numbers of additional miles she will run?
Use t for the number of additional miles she will run.
Write your answer as an inequality solved for t.
Answer:
Based on the question, Yolanda will run less than 26 miles but more than 16 miles (because she has already attained 16 miles in total).
Step-by-step explanation:
sorry if im late
Graph a line with the given slope that passed through the given point.
slope: 0, point: (0, -2)
Answer:
Graph the line y = -2.
Step-by-step explanation:
A line with zero slope is a horizontal line. Find (0, -2) on the y-axis and draw a horizontal line through it. This will fully address this question.
need help please look at attachment
Answer:
y = 1/2x + 2
Step-by-step explanation:
Perpendicular slope = 1/2
( -2, 1)
y - y1 = m(x - x1)
y - 1 = 1/2(x + 2)
y - 1 = 1/2x + 1
y = 1/2x + 2
Answer:
y1=+/2/5+1
y1+/15
/1=+5/36
-2=1/-/12
please help!!!!!!!!!!!!!!!!!!!!
Answer:
I am not sure but think that the answer is 1/20
I believe you convert the whole number into a mixed fraction.
5 converted into quarters is 20/4. Then you divided 1/4 by 20/4.
1/4 divided by 20/4 is 1/20 or 0.05.
Please, don't refrain to tell me if this is incorrect. Thank you.
ANSWER ASAP WILL GIVE BRAINLIEST PLS HELP
Answer:
Step-by-step explanation:
11) Probability of Black is 1/4
12) P of not orange is 3/4
13) P of blue or black is 1/2
this should be pretty easy for you, why is it tough? don't say .. " it just is" say what makes it tough. I'm curious why this is difficult. :?
Find the mean of the sets of data:
2.
12, 67, 34, 10, 78, 78, 49
3. 10,10,13, 13, 45, 21, 67
Answer:
2.) 46.9 3.) 25.6
Step-by-step explanation:
Answer:
2. 46.857
3. 25.571
Step-by-step explanation:
Add all the numbers together and then divide by the number of numbers you added.
12+67+34+10+78+78+49=328
328/7=46.857
10+10+13+13+45+21+67=179
179/7=25.571
Alfred wants to become a member of an online discussion forum. The website requires him to create a password. The password must consist of 5 characters, of which 3 must be letters and 2 must be digits. The first character of the password must be a letter. Also, repetition of the same letter in the password is not permitted but repetition of digits is permitted. How many possible ways can Alfred create the password?
So I know the answer is 9,360,000 but I got 18,720,000. This is because I thought the partition is 4! / (2! * 1! * 1!) but apparently the partition is 4! / (2! * 2!) and this confuses me. I thought that since the letters can't be repeated, we'd put one unique letter in one group, the other unique letter in the other group, and the two repeated digits in the last group. Can somebody explain this to me?
Answer:
Alfred can create the password in 9,360,000 possible ways
Step-by-step explanation:
Given the data in the questions;
Password of five characters must contain; three letters and 2 digits
[][][][][]
Now, using the five boxes above which as to be filled with three letters and two digits, such that; The first character of the password must be a letter and repetition of the same letter in the password is not allowed while repetition of digits is allowed.
Now,
we know that there are 26 alphabets in English language, so the first box can be filled in 26 ways { must be a letter }
next four will be filed with two letters and two digits
so two boxes from the four can be chosen in the following ways;
⇒ ⁴C₂ = 4! / ( 2!(4-2)! = 24 / 4 = 6 { ways }
now for each choice, we can fill the chosen two boxes with letters in;
⇒ 25 × 24 = 600 { ways}
and the next two by digits; ( 0, 1, 2, ..... 9)
⇒ 10 × 10 = 100 { ways }
So in total, the possible number of ways he can create a password is;
⇒ 26 × 6 × 600 × 100
= 9,360,000 possible ways
Therefore, Alfred can create the password in 9,360,000 possible ways
what is a conjecture
Answer:
a conjecture is a conclusion or a proposition which is suspected to be true due to preliminary supporting evidence, but for which no proof or disproof has yet been found.
Step-by-step explanation:
hello I need help please help me I will give you brianly if it Correct
Answer:
Option C.
Step-by-step explanation:
You can find this by doing ratios. 1/1.1266=x/700. Then, solve for x and you will get 621.3385.
I'm not sure thinking reflection but do not want to confuse my child if he is right. He is thinking translation
Answer:
That is indeed a reflection
Step-by-step explanation:
Answer: translation is moving it an without rotating or flipping it should be reflection because you can’t do translation without flipping
P.S if it’s wrong I’m sorry but I should be factually correct.
4. A map has a scale factor of 1 cm = 15 miles
How far apart are two towns on the map if they are 100 miles apart in real life?
can anyone help please?
Answer:
6.67 cm
Step-by-step explanation:
since 1 cm is 15 miles we will divide 100 miles by 15 miles
100/15=6.67
now we will take out number and multiply it by the number of cm
6.67 x 1 = 6.67
so on the map they are 6.67 cm apart.
I greatly apologize if this is incorrect
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Answer:
I think yes but it could be no. Sorry if I am wrong but it should be yes.
Justine signed up for a gym membership. The gym charges a one-time fee of $59 plus a monthly fee. Justine determines that she will pay a total of $557 for her gym membership after one year. How much does the gym charge per month?
The gym charges $41.5 per month.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now it is given that,
One time fee of gym = $59
Justine will pay after one year = $557
So, gym fees per year = $557 - $59
⇒ gym fees per year = $498
∴ gym fees per month = gym fees per year / 12
⇒ gym fees per month = $498/12
⇒ gym fees per month = $41.50
Thus,the gym charges $41.50 per month.
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A pet sitter charges $84 for eight hours of work at this rate how much does the pet Sitter charge for seven hours of work?
Answer:
73.5
Step-by-step explanation:
84/8=10.5
10.5x7=73.5
What is the sum of 4.5 x 10^3 and 2.5 x 10^2 ?
Answer:
4750
Step-by-step explanation:
you add the equation together and find the answer
Answer: 4500 and 250 = 4750
Step-by-step explanation: 10 to the power of 3 is 1000 because it’s 10x10x10 and if you multiply it by 4.5 it’s 4500 and then 10 times 10 is 100 times 2.5 is 250. And because we’re looking for the sum it wants the total so 4500 plus 250 is 4750
solve the system of equations-6x+7y=9 and 2x-2y=-4
Answer:
y = -3 and x = -5
Step-by-step explanation:
Hi,
-6x + 7y = 9
2x - 2y = -4
Multiply the bottm equation by 3...
-6x + 7y = 9
6x - 6y = -12
Add...
y = -3
Now...
2x - 2 (-3) = -4
2x + 6 = -4
2x = -10
x = -5
Answer...
y = -3 and x = -5
A group of 10 friends shared 5 large cinnamon rolls equally. What fraction of a cinnamon roll does each person get. Explain your thinking.
Suppose an electronics manufacturer knows from previous data that 1.5% of
one type of an electronic component are defective. The quality control
inspector randomly selects components until a defective one is found. Is this
a binomial experiment? Why or why not?
A. This is a binomial experiment, because the situation satisfies all
four conditions for a binomial experiment.
B. This is not a binomial experiment, because the trials are not
independent
C. This is not a binomial experiment, because each trial cannot be
classified as a success or failure.
D. This is not a binomial experiment, because the number of trials is
not fixed.
Answer:B and D
Step-by-step explanation:
Answer: The answer is D: This is not a binomial experiment, because the number of trails is not fixed.
Step-by-step explanation: I took the test and chose the answer A and it was incorrect. The correct answer is D. I took the test on Ap3x.
Hope this helps