Write the perimeter of the triangle as a simplified polynomial. Then factor the polynomial.
Answers
Answer:
4x² + 29x + 7 = (4x + 1)(x + 7)
Step-by-step explanation:
Simplify the polynomial:Like terms are terms with same variable and same power.
Perimeter = sum of all the sides
= 3x² + 1 + 15x + 6 + x² + 14x
= 3x² + x² + 15x + 14x + 1 + 6
Combine like terms,
= 4x² + 29x + 7
Factorize:
Sum = 29
Product = 4*7 = 28
Factors = 1 , 28 {28 + 1 = 29 & 28*1 = 28}
Rewrite the middle term using the factors,
= 4x² + x + 28x + 7
= x(4x + 1) + 7(4x + 1)
= (4x + 1)(x + 7)
Related Questions
What is this number in standard form?
(3×100)+(1×110)+(4×11,000)
pls help tysm
Answers
The number (3×100)+(1×110)+(4×11,000) in standard form will be 4.4410 × 10⁴
How to calculate the value?It should be noted that standard form simply means a way of presenting numbers as a mathematical expression.
The number given is illustrated as:
= (3×100)+(1×110)+(4×11,000)
= 300 + 110 + 44000
= 44410
This will be expressed in standard form as:
= 4410
= 4.4410 × 10⁴
Learn more about standard form on
brainly.com/question/19169731
#SPJ1
sofia and manuel are purchasing a home. they wish to save money for 15 years and purchase a house that has a value of $180,000 with cash. if they deposit money into an account paying 5% interest, compounded monthly, how much do they need to deposit each month in order to make the purchase?
Answers
We will have the following:
We will have that the value at the end will be $180 000.
The number of periods will be 15*12 = 180.
The interest per month is 0.05/12 = 0.0042
Now:
[tex]A=\frac{P((1+i)^n-1)}{i}_{}[/tex]Here "A" is the value at the end, "P" will be the monthly payments, "i" the monthly interest rate and "n" the number of periods. So:
[tex]180000=\frac{P((1+0.0042)^{180}-1)}{0.0042}\Rightarrow P=\frac{180000\cdot0.0042}{((1+0.0042)^{180}-1)}[/tex][tex]\Rightarrow P=671.1819761\ldots\Rightarrow P\approx671.2[/tex]So, they will need to deposit approximately $671.2 each month.
A family arrives at the Walt Disney world parking lot to get from their car in the parking lot to the gate at the magic kingdom they walk 1/4 mile take a train for 1/3 of their total distance and take a monorail for 1/2 of their total distance how far is it from their car to the gate of magic kingdom
Answers
This is equivalent to 3/2 as an improper fraction and 1 & 1/2 as a mixed number.
==========================================================
Explanation:
x = total distance in miles
The train and monorail take 1/3 and 1/2 of the total distance respectively
Add up those fractions to get
1/3 + 1/2 = 2/6 + 3/6 = 5/6
Remember that you can only add fractions when the denominators are the same.
5/6 of the total distance consists of the train and monorail.
That means the walking portion must be 1 - 5/6 = 6/6 - 5/6 = 1/6 of the total distance.
----------------------------
In short, we found that 1/6 of the total distance consists of walking.
(1/6)x = 1/4 mile
x/6 = 1/4
4x = 6*1
4x = 6
x = 6/4
x = 3/2
x = 1.5 miles is the total distance
---------------------------
Check:
1/6 of x = 1/6 of 3/2 = (1/6)*(3/2) = 3/12 = 1/4 mile walking
1/3 of x = (1/3)*(3/2) = 3/6 = 1/2 mile on the train
1/2 of x = (1/2)*(3/2) = 3/4 of a mile on the monorail
1/4 + 1/2 + 3/4 = 1/4 + 2/4 + 3/4 = 6/4 = 3/2 = 1.5 miles total
This confirms our answer.
a town's population has been growing linearly. in 2003, the population was 59000, and the population has been growing by 1700 people each year. write an equation for the population x years after 2003.
Answers
Answer:
The population after x years will be P = 29000 + 700x
Let the population after the years be represented by P
Population of the town in 2003 = 29000
Annual increase in growth = 700
Then, the population after x years will be:
P = 29000 + 700(x)
P = 29000 + 700x
Therefore, the population will be P = 29000 + 700x.
I need help with this please
Answers
B.) 0.8415
The stopwatch shows the time Mike took to complete a puzzle.
Round this time to 1 d.p.
36.98sec
Answers
Answer:
37.0seconds
Step-by-step explanation:
when you round you take the second number (8) and find out if it is higher or lower than 5. When it is higher you round up.
But, since the next number is 9 you have to continue to round up the next number which is 6.
Hope this is helpful!
Pre- Calculus
log(x^5)=3
Answers
Answer:
x ≈ 3.9810717
Step-by-step explanation:
Which property of multiplication is shown?
1 · t = t
Answers
The product of 1 and any number is the number
Example:
a x 1 = a
6 x 1 = 6
Hope this helps :-)
Supposed Justins graph had an empty circle at 12. Write the inequality represented by this graph.
Answers
the inequality is
x> 12
all real numbers greater than 12
interval (12, infinite)
Bessie added 1 2/3 cups of fertilizer to each bag of topsoil. She used 7 5/8 bags of topsoil. Bessie used 12 17/24 cups of fertilizer altogether. True or False?
Answers
Answer: false
Step-by-step explanation:
Use 1/4 cup per square foot
I need this answered please
Answers
Carmen invested her saving in fund B as $11,000.
What is termed as the investment?Investing entails allocating capital (money) to tasks or projects that are anticipated to generate a profit over time.The type of return generated is determined by the project or asset; for example, real estate can generate both rents as well as capital gains; numerous stocks pay semiannual dividends; and bonds typically pay regular interest.For the given question;
Let 'x' be the amount invested by Carmen in fund B.
The, the amount invested in fund A is x - 5000.
The profit on fund A is 2% = 2%(x - 5000).
the profit on fund B is 5% = 5%(x).
Then, the total profit is $670.
The equation will be .
2%(x - 5000) + 5%(x) = 670
2(x - 5000)/100 + 5(x)/100 = 670
2x - 10,000 + 5x = 67,000.
Further simplifying.
7x = 67,000 + 10,000
7x = 77,0000
x = 11,000
Thus, amount invested in fund B is $11,000.
To know more about the investment, here
https://brainly.com/question/3729664
#SPJ13
if a tank holds 2000 gallons of water, andthe water can drain from the tank in 40 min-utes, then torricelli’s law gives the volumevof water remaining in the tank aftertminutesasv
Answers
V'(t) = -250(1-(1/40)t)
If we know the time, we can plug in the value for "t" in the above derivative and find how much water drained for the given point of t.
Given:
V =2000( 1- (1/40)t)^2 , where 0≤t≤40.
Here we have to find the derivative with respect to "t"
We have to use the chain rule to find the derivative.
V'(t) = 2 (2000)(1- (1/40)t)d/dt(1- (1/40)t)
V'(t) = 2(2000)(1-(1/40)t(-1/40)
When we simplify the above, we get
V'(t) = -250(1-(1/40)t)
If we know the time, we can plug in the value for "t" and find how much water drained for the given point of t.
learn more about of volume here
https://brainly.com/question/14020302
#SPJ4
For #26-30, use the diagram at the right. Name the lines
that are parallel for the two given angles. Then classify the
angles.
Answers
State whether the Law of Detachment, the Law of Syllogism, or the Law of the
Contrapositive was used to draw the conclusion from the given statements. If it's an
invalid conclusion, write invalid.
If you are at least 25 years old, then you can rent a car.
Anna is 28 years old.
Therefore Anna can rent a car.
Law of Detachment
Law of Syllogism
Law of Contrapositive
Invalid Conclusion
Answers
This is an invalid statement. The law of syllogism is what was used to draw the conclusion in the statement here.
What is the law of syllogism?This is the law that is used in logic in the form of
If a , then b . If b , then c . Then we can derive a third true statement: (3) If a , then c.The law of Syllogism can be interpreted as if a person is at least at the age of 25 then they rae able to rent a car. Now given that Anna has fulfilled this condition because she is at the age of 28, then she would be able to rent a car.
Therefore the second option ios correct
Read more on law of syllogism here:
https://brainly.com/question/361872
#SPJ1
Please help I beg of y’all
Answers
Answer:
I think its 180
Step-by-step explanation:
Because AB is parallel to CD, alternate (Z) angles are equal, so the angle to the right of ACB = 46. Angles on a straight line add to 180, so 180 - 46 - 65 = 69.
Is this a function if so explain if not explain
Answers
Answer:
Not a function
Step-by-step explanation:
It is not a function because it doesn't pass the vertical line test.
Multiple gaming tournaments can be played online. In these games, players can compete with players from any part of the world. Step-by-step-explanation (Simple linear equation)
In a tournament,200 points are awarded for a win, and 20points are deducted for a loss.
Chetan participated in the tournament.
He won two more matches than the number of matches he lost.
He scored 1120 points.
How many matches did he play?
B. 8
A. 6
D. 14
C. 10
Answers
6 x 200 = 1200
4 x 20 = 80
1200 - 80 = 1120
6 + 4 = 10
Mr musa since the servant to the market to buy orange is 15 naira the servants have eaten three oranges on the way ,mr musa a 25 cover orange more than the market price. taking x to be number of oranges mr musa received ,form an equation in x and find x .
Answers
Mr musa since the servant to the market to buy orange is 15 naira the servants have eaten three oranges on the way ,mr musa a 25 cover orange more than the market price. Hence 12 be number of oranges mr musa received.
What is Equation?Two or more expressions with an equal sign is called as equation.
Let market price be M
(M+0.25)x=15
Oranges brought=15M
Servent ate 15M-3=x
15M=x+3
Divide both sides by 15.
M=(x+3)/15
((x+3)/15+1/4)x=15
Calculate the LCM and solve
(4x+12+15)x/60=15
Apply cross multiplication
4x²+27x=900
4x²+27x-900=0
By solving it we get x=12
Hence 12 be number of oranges mr musa received.
To learn more on Equation click:
https://brainly.com/question/10413253
#SPJ1
6,095 divided by
Two answers
Answers
Answer: Last Digit Method: If the last digit in 6095 is 0, 2, 4, 6, or 8, then 6095 is divisible by 2. The last digit in 6095 is 5, thus 6095 is not divisible by 2.
Step-by-step explanation:
according to a study by the centers for disease control and prevention, about 33% of u.s. births are caesarean deliveries. suppose seven expectant mothers are randomly selected. what is the probability that at least one of the expectant mothers will have a caesarean delivery?
Answers
The probability that at least one of the expectant mothers will have a cesarean delivery is 0.9394.
What is probability?Probability is the likelihood that something will happen. Based on the information, about 33% of u.s. births are cesarean deliveries.
The number (n) is also given as 7.
p = 33% = 0.33
n! / (n – r)!
N is the number of things you are choosing from,
r is the number of items.
P(x:n,p) = ⁿCˣ x pˣ(1-p)ⁿ⁻ˣ
n is the number of trials (occurrences)
X is the number of successful trials
p is probability of success in a single trial
ⁿCₓ is the combination of n and x
Therefore, the probability will be:
= 1 - P(no mother will have a Caesarean section)
= 1 - P(X = 0)
= 1 - ⁷C₀ (0.33)^0(0.67)^7
= 1 - 0.0606
= 0.9394
Learn more about probability on:
brainly.com/question/25870256
#SPJ1
3 to the power of -3 =1/3
Answers
If you want to write 3 to the fourth power, you can write 3^4
Answer: -27
Step-by-step explanation: -3 raised to the power of 3 is written (-3) 3 = -27. Note that in this case the answer is the same for both -3 3 and (-3) 3 however they are still calculated differently. -3 3 = -1 * 3 * 3 * 3 = (-3) 3 = -3 * -3 * -3 = -27. For 0 raised to the 0 power the answer is 1 however this is considered a definition and not an actual calculation.
At 11:59 a.m you change the time on your phone to 11:00 a.m. Is the assignment still missing or no?
Answers
Answer:
its still missing
Step-by-step explanation:
U changed it for yourself, not other peoples
Answer: it will say “assigned” but it wouldn’t come up like that for your teacher. I’ve tried it before and it doesn’t work
Step-by-step explanation:
Graph the line that represents each linear equation does anyone know a 2d version I can see instead of words to explain it?
Answers
The graph of the first linear equation:
y = x + 3
Can be seen in the image at the end.
How to graph the linear equation?Let's graph the first line, which is:
y = x + 3.
To graph it, we need to find two points on the line, to find these, we can evaluate the linear equation in two values of x.
Using x = 0 we get:
y = 0 + 3
y = 3
So we have the point (0, 3).
Using x = 1, we get:
y = 1 + 3
y = 4
So we have the point (1, 4)
Now we can graph these two points on the same coordinate axis and connect them with a line. Like in the example below.
Learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
7(u + 2) = 42 solve for u simplify your answer as much as possible
Answers
Answer:
7(u+2)=42
7u+14=42
-14 -14
7u=28
u=4
A plane flew 216 miles from Bristol airport to Leeds Bradford airport. It had an average speed of 162mph and arrived at 18:15. Work out what time the plane left Bristol airport. Give your answer using the 24 hour clock.
Answers
The plane left Bristol airport at 16:55.
This is a problem from time and distance. We can solve this problem by following a few steps.
We have to know the relation between time, speed, and distance. The relation is denoted as,
t = s/v; t is denoted as time interval, v is denoted as velocity or speed in this case and s is denoted as displacement or distance.
We have to find the time. Here velocity is 162 mph and the total distance between Bristol airport to Leeds Bradford airport is 216 miles.
t = 216 miles/ 162 mph = 1.33 hour = 80 minutes.
Therefore the plane left Bristol airport is, ( 18 hours 15 minutes - 80 minutes) = 16 hour 55 minutes = 16:55
To learn more about time and distance visit,
https://brainly.com/question/13269893?referrer=searchResults
#SPJ9
tell whether 15/35 and 3/7 are proportions
Answers
because
15 / 5 = 3
35 / 5 = 7
Therefore if you divide the numerator and denominator of the first fraction by 5, you will get the second fraction
find the perimeter of the regular hexagon
9 ft. 2 in.
please help asap thank u so much
Answers
Answer:660 in
Step-by-step explanation: Just add 6 sides, 9 ft= 108 in, + 2 in = 110, 110x6 = 660
Evaluate |-15| + |-6|.
Answers
Answer:
21
Step-by-step explanation:
The absolute value of an expression is its distance from 0.
For example, take the number -5:
<-------|------------------|------------->
-5 0
It is 5 units to the left of zero, so its absolute value is 5, NOT -5 because distance is always positive, no matter the direction.
To evaluate the given expression, first find each absolute value:
[tex]|-15| = 15, \, \, \, \, \, \, |-6| = 6[/tex]
Then, simplify:
[tex]|-15| + |-6| \\ =15 + 6 \\= 21[/tex]
So, the evaluated expression is 21.
the chefs at a local pizza chain in cambria, california, strive to maintain the suggested size of their 16-inch pizzas. despite their best efforts, they are unable to make every pizza exactly 16 inches in diameter. the manager has determined that the size of the pizzas is normally distributed with a mean of 16 inches and a standard deviation of 0.8 inch. what are the expected value and the standard error of the sample mean derived from a random sample of 2 pizzas?
Answers
The expected value and the standard error of the sample mean derived from a random sample of 2 pizzas is 0.57
The statistic known as the sample mean is created by arithmetically averaging the values of a variable in a sample.
The sample mean is an estimator of the expected value if the sample is taken from probability distributions with a common expected value.
given
Size of the pizzas 16- inch
normal distribution mean is 16 inch
standard deviation= 0.8
μ=16
σ=0.8
n=2
The standard error of the sample mean derived from a random sample of 2 pizzas is:
σₓ= σ / [tex]\sqrt{n}[/tex]
σₓ = 0.8 /[tex]\sqrt{2}[/tex]
σₓ=0.57
The standard error of the sample mean derived from a random sample of 2 pizzas is 0.57
To know more about standard deviation view :
https://brainly.com/question/14747159
#SPJ4
the slop of (4,10) and (6,9)
Answers
Answer: [tex]\frac{1}{-2}[/tex]
Step-by-step explanation:
Slope =
[tex]\frac{Y2-Y1}{X2-X1}[/tex]
[tex]\frac{10-9}{4-6}[/tex]
[tex]\frac{1}{-2}[/tex]