Answer:
this would 5 x + 2
Step-by-step explanation:
Answer: (4x2 + 4x - 5) • (x - 1)
Step-by-step explanation: The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 4 and the Trailing Constant is 5.
The factor(s) are:
of the Leading Coefficient : 1,2 ,4
of the Trailing Constant : 1 ,5
The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms
In our case this means that
4x3-9x+5
can be divided with x-1
2.2 Polynomial Long Division
Dividing : 4x3-9x+5
("Dividend")
By : x-1 ("Divisor")
dividend 4x3 - 9x + 5
- divisor * 4x2 4x3 - 4x2
remainder 4x2 - 9x + 5
- divisor * 4x1 4x2 - 4x
remainder - 5x + 5
- divisor * -5x0 - 5x + 5
remainder 0
Quotient : 4x2+4x-5 Remainder: 0
2.3 Factoring 4x2+4x-5
The first term is, 4x2 its coefficient is 4 .
The middle term is, +4x its coefficient is 4 .
The last term, "the constant", is -5
Step-1 : Multiply the coefficient of the first term by the constant 4 • -5 = -20
Step-2 : Find two factors of -20 whose sum equals the coefficient of the middle term, which is 4 .
-20 + 1 = -19
-10 + 2 = -8
-5 + 4 = -1
-4 + 5 = 1
-2 + 10 = 8
-1 + 20 = 19
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
What is the area of this trapezoid enter your answer in the box
9514 1404 393
Answer:
336 cm^2
Step-by-step explanation:
The area of a trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
where b1 and b2 are the base lengths, and h is the height. Filling in the values shown gives ...
A = (1/2)(28 +14)(16) = (1/2)(42)(16) = 336 . . . . cm^2
Change 13/5 to a mixed number PLEASE HELP ME
Answer:
[tex] 2 \frac{3}{5} [/tex]
Step-by-step explanation:
13 = 5 + 5 + 3
[tex] \dfrac{13}{5} = [/tex]
[tex] = \dfrac{5 + 5 + 3}{5} [/tex]
[tex] = \dfrac{5}{5} + \dfrac{5}{5} + \dfrac{3}{5} [/tex]
[tex] = 1 + 1 + \dfrac{3}{5} [/tex]
[tex] = 2 \frac{3}{5} [/tex]
Answer:
[tex]2\frac{3}{5}[/tex]
The fraction consists of two numbers and a fraction bar: 13/5 The number above the bar is called numerator: 13 The number below the bar is called denominator: 5 The fraction bar means that the two numbers are dividing themselves. To get fraction's value divide the numerator by the denominator: Value = 13 ÷ 5
To calculate the greatest common factor, GCF: 1. Build the prime factorizations of the numerator and denominator. 2. Multiply all the common prime factors, by the lowest exponents. Factor both the numerator and denominator, break them down to prime factors: Prime Factorization of a number: finding the prime numbers that multiply together to make that number. 13 is a prime number, it cannot be factored into other prime factors; 5 is a prime number, it cannot be factored into other prime factors; * Positive integers that are only dividing by themselves and 1 are called prime numbers. * A composite number is a positive integer that has at least one factor (divisor) other than 1 and itself. Multiply all the common prime factors, by the lowest exponents. But, the numerator and denominator have no common factors. gcf (13; 5) = 1Fraction 13/5 is a positive improper fraction (numerator > denominator).Mixed number = a whole number and a proper fraction, of the same sign. Proper fraction = numerator smaller than denominator.
13 ÷ 5 = 2 and remainder = 3 =>
13 = 2 × 5 + 3 =>
13/5 =
(2 × 5 + 3) / 5 =
2 + 3/5 =
2 3/5
Use the scale factor to find the area of the enlarged figure. Explain your steps.
A small rectangle has a length of 8 and width of 4. A large rectangle has a length of 25.6 and width of a.
9514 1404 393
Answer:
327.68 units^2
Step-by-step explanation:
The area of the small figure is ...
area = length · width
area = (8)(4) = 32 . . . . square units
The scale factor is ...
scale factor = large length / small length = 25.6/8 = 3.2
The area of the larger rectangle will be the small rectangle area multiplied by the square of the scale factor:
(32 units^2)(3.2^2) = 327.68 units^2
_____
Additional comment
We note the width is half the length, so we could figure the larger rectangle's width at 25.6/2 = 12.8 units. Then its area would be
length · width = (25.6 units)(12.8 units) = 327.68 units^2
This seems easier to me, but is not the method required by the problem statement.
Answer:
The scale factor of the enlargement is 3.2. Square the scale factor to get 10.24. Find the area of the original figure, which is 32. Multiply 32 and 10.24 to get the area of the enlarged figure, which is 327.68.
Step-by-step explanation:
This is the sample response but I would use the other pearsons answer because it is NOT the sample response.
Have a great day!
Sam is a movie reviewer. He attended a premiere and wants to know what the audience thought of the movie. There were 500 guests at the premiere. Sam asked 10 guests to rate the movie on a scale of 1 to 5. Here are the ratings he collected: 2, 3, 1, 3, 2, 5, 4, 1, 2, 2 Can the data given be used to calculate a point estimate of the rating of all the guests who attended the premiere? If so, calculate it. Round non-integers to the nearest tenth. If no assumptions can be made, type 0 in the box. The approximate guest rating for the movie by all the guests is .
Answer:
The approximate guest rating for the movie by all the guests is 0.
The table below shows the number of tea bags needed to make different amounts of iced tea. What is the total number of quarts of iced tea that can be made with 24 tea bags?
Answer:
6
Step-by-step explanation:
Search it up.
For 24 Tea bags 6 quarts of iced tea that can be made.
What is Proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
We have the Table,
With 8 tea bags, 2 Quartz of Iced Tea made.
As, there is proportionality between two values.
So, 16 / 4= 24 / x
4 = 24 / x
x = 24/4
x= 6
Hence, For 24 Tea bags 6 quarts of iced tea that can be made.
Learn more about proportion here:
https://brainly.com/question/26974513
#SPJ2
Katie's deli can make 60 sandwiches in 4 hours. Stacy's can make double that in the same amount of time. How many sandwiches can Stacy's deli make in 6 hours
Answer:
Step-by-step explanation:
Answer: 150 sandwhiches
Step-by-step explanation: 60 sandwhiches in 4 hours. 15 sandwhiches per hour so you add 30 to the doulbe of 60 which is 120 then you add 30
PLS ANSWER ASAP AND ILL MARK BRAINLIEST!
What is the volume of a cone with a radius of 3 feet and a height of 6 feet? Use 3.14 for pi. Round your answer to the nearest hundredth.
18.31 ft3
40.25 ft3
56.52 ft3
60.34 ft3
Answer:
56.52ft³ is the answer hope this helps
Answer:
3rd option hope this helps.
Step-by-step explanation:
BONUS QUESTION
What is the "product" of 20 and 5? *
92.37 ______ 9.237 * (>, , <, =)
The fraction 2/3 is equivalent to 6/9. *
Name an example of an IMPROPER fraction. *
Guys pls i beg i would HIGHLY APPRECIATE IF YOU ANSWER ALL OF ThEM PlEaSe :(
Answer:
Here you go
Step-by-step explanation:
1. 100
2. >
3. true
4. [tex]\frac{7}{3}[/tex]
The population of a certain community is known to increase at a rate proportional to the number of people present at time t. If the population has doubled in 5 years, how long will it take to triple?
Answer:
[tex]t=7.85 years[/tex]
Step-by-step explanation:
We can write this rate as an ordinary differential equation.
[tex]\frac{dP}{dt}=aP[/tex]
Where a is proportional constant, P the population variable, and t the time.
[tex]\frac{dP}{P}=adt[/tex]
Integrating each side of the equation.
[tex]\int \frac{dP}{P}=\int adt[/tex]
[tex]ln(P)=at+c[/tex]
[tex]P=e^{at+c}[/tex]
[tex]P=e^{c}e^{at}=Ce^{at}[/tex]
To find C we need to use the initial condiction, it means evaluae P at t=0.
[tex]P_{0}=Ce^{0}=C[/tex]
[tex]P=P_{0}e^{at}[/tex]
Now, we use the sentence the population has doubled in 5 years.
[tex]2P_{0}=P_{0}e^{a5}[/tex]
We can find "a" in this condition.
[tex]2=e^{a5}[/tex]
[tex]ln(2)=a5[/tex]
[tex]a=\frac{ln(2)}{5}[/tex]
[tex]a=0.14[/tex]
Finally, let's find how long will it take to triple.
[tex]3P_{0}=P_{0}e^{0.14t}[/tex]
[tex]3=e^{0.14t}[/tex]
[tex]t=\frac{ln(3)}{0.14}[/tex]
[tex]t=7.85 years[/tex]
I hope it helps you!
Help please I’m begging you
Answer:
subtract to eliminate y
Answer:
B
Step-by-step explanation:
add to eliminate y
Find the slope intercept equation of the line
Answer: The answer is y=2x-2
Step-by-step explanation: Slope intercept form is y=mx+b. m= the slope and b=the y-intercept (the point on the y axis that the line crosses). The slope using rise/run is -2/1 making m=2 and the point on the y axis where the line intercepts is -2.
The y intercept is at the point '?'
The roots are x = ? and x = ?
The turning point is at ( ? , ? )
Answer:
See below.
Step-by-step explanation:
The y-intercept is the point where the line passes the y-axis. In this instance, that is at the point (0, 3).
The roots are the x-intercepts are the points where the line crosses the x-axis. In this instance, the roots are x = -3 and x = -1.
The turning point is the vertex of the equation. In this instance, the vertex is on the point (-2, -1).
halp
A 43-foot ladder is leaning against a building and forms a 29.37° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth.
21.09 feet
24.20 feet
37.47 feet
49.34 feet
Answer:
37.46
Step-by-step explanation:
I think not sure tho
The triangle is rotated 90 degrees clockwise around the pount (0,0)
Answer:
(2,6)
Step-by-step explanation:
Option:B
The triangle is rotated 90 degree clockwise around the point (0,0). The point is (-6,2) is made to rotate. The image so formed is at the point (2,6).
the price of some medication was increased from $8 to $12. By what percentage was the price of the medicine increased ?
8. Ms. Morgan is a science teacher. She found that 30% of her 120 students are athletes. Mr. Gregory is a math teacher. He found that 27, or 15%, of his students are athletes. Of the part, the whole, and the percent, which information is still unknown to Ms. Morgan? Find this unknown value. a. b. Of the part, the whole, and the percent, which information is still unknown to Mr. Gregory? Find this unknown value.
Answer:
A=30%
B=27
Step-by-step explanation:
Which of the following is a divisor of 12! · 6! + 12! + 6! + 1?
A. 21
B. 77
C. 91
D. 115
E. 143
Hint : Use Wilson's Theorem[tex].[/tex]
Answer:
C. 91Step-by-step explanation:
Rewriting the given as factors:
12! · 6! + 12! + 6! + 1 =12!(6! + 1) + (6! + 1) =(12! + 1)(6! + 1) =((13 - 1)! + 1)((7 - 1)! + 1)As per Wilson's theorem, if n is prime number, (n - 1)! + 1 is divisible by n
As per above, 13 and 7 are both prime numbers, so the expression is divisible by both 7 and 13:
7*13 = 91So correct choice is C
three blocks are placed together as shown below. 3.8cm 8.7cm 9.4cm
Please help ASAP!!!!!!!!!
______________________________
1.) Plug our numbers into the formula:[tex]B[/tex] × [tex]H[/tex][tex]6[/tex] × [tex]4=24[/tex]______________________________
The number of dimes in Kiara's collection is 13 more than 5 times the
number of quarters in her collection. Kiara has 78 dimes in her
collection. Which equation could be used to find the number of
quarters in Kiara's collection?
Answer: I don’t think I understand can you set this up differently so I can answer this please
Step-by-step explanation:
What is the slope of the line y = 7x + 3
-?
1
7
А
B
7
3
8
8
3
Answer:
7 :)
Step-by-step explanation:
If there are 34 successes in a sample with a size of 40, what is the sample
proportion?
Answer:
Step-by-step explanation:
0.85
Answer:
.85
Step-by-step explanation:
please help! asap
d- 5.44
Answer:
Step-by-step explanation:
2.72 is the unit rate
Directions: Convert the following equations from standard form to slope-intercept form.
(10 points)
14. 4x + y = -1
15. 5x - 2y = 14
16. 10x - 2y = -6
17. 8x + y = 12
18. 6x - 10y = 20
Now let's assume that you have a newer toilet that uses 6 L per flush, but you are considering upgrading to a dual-flush toilet. If you flush the toilet four times per day, but three of those times you could use the 3 L flush, how many liters of water would you save in 1 year
Answer: 3,285 Liters
Step-by-step explanation:
In the actual case, all your flushes consume 6 L of water.
You flush 4 times per day, then you consume 4 times 6 L per day, this is:
4*6L = 24 L per day.
And in one year there are 365 days, then in one year you consume:
365*24 L = 8,760 L
Now, if you upgrade the toilet, now per day you use:
one time 6 L and 3 times 3 L
Then in day, you use:
1*6 L + 3*3 L = 6L + 9L = 15L
And in the complete year, you will use 365 times that, which is:
365*15 L = 5,475 L
The amount of water that you would save is equal to the difference between the amount that you use in one year with no upgrade (8,760 L) and the amount that you would use in a year if you upgraded your toilet ( 5,475 L)
The difference is:
D = 8,760 L - 5,475 L = 3,285 L
This means that, in this situation, you would save 3,285 liters of water per year if you upgrade your toilet.
Drag the values from the problem and fill in the blanks to create and solve a system of equations.
Overview
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Huck has a handful of coins. There are 13 total
coins and he only has nickles and dimes. He knows
that he has $1.05 in total money. How many dimes
and nickles does he have?
x + y = |(13
Let x = # of nickels
Let y = # of dimes
y = ||1.05
Equation for the
number of coins
Remember
X
Give up
X +
Equation for the
value of the coins
Submit
X =
y =
Answer: uhhh
Step-by-step explanation:
3 1/8 divided by 1 2/3
Answer:
15/8 and mixed number is 1 7/8
Step-by-step explanation:
Answer:
1 7/8
Step-by-step explanation
Simplify.
3y - 4x + 6x - y
The simplified expression is???
Answer:
2y-4x+6x
=2y+2x
Step-by-step explanation:
Answer:
2x+2y
Step-by-step explanation:
Let's simplify step-by-step.
3y−4x+6x−y
=3y+−4x+6x+−y
Combine Like Terms:
=3y+−4x+6x+−y
=(−4x+6x)+(3y+−y)
=2x+2y
Choose all equations for which x=2 is a solution.
A:x+3=5
B:x+2=8
C:x+1=1
D:x-2=4
Ex-7=5-
Bo, Ryan and Zach walked 1/4 miles from school to Bo’s house. They walked 4/6 miles from Bo's House to the park what is the total distance the boys walk?
Answer: They walked 11/12 miles
Step-by-step explanation:
1/4 + 4/6
3/12 + 8/12
11/12