Answer:
[tex]3x - 11[/tex]
Step-by-step explanation:
Given
[tex]\frac{3x^2 + 4x + 5}{x + 5}[/tex]
Required
Determine the quotient
First, we check if the divisor (x + 5) can divide the dividend (3x^2 + 4x + 5) without having a reminder
Equate the denominator to 0.
[tex]x + 5 = 0[/tex]
[tex]x = -5[/tex]
Substitute -5 for x in the numerator
[tex]3x^2 + 4x + 5 = 3*(-5)^2 + 4 * (-5) + 5[/tex]
[tex]3x^2 + 4x + 5 = 60[/tex]
This means that it has a reminder of 60
To get the quotient, we subtract 60 from the numerator and evaluate
[tex]\frac{3x^2 + 4x + 5}{x + 5}[/tex] becomes
[tex]\frac{3x^2 + 4x + 5 - 60}{x + 5}[/tex]
[tex]\frac{3x^2 + 4x - 55}{x + 5}[/tex]
Expand the numerator
[tex]\frac{3x^2 + 15x - 11x - 55}{x + 5}[/tex]
Factorize:
[tex]\frac{3x(x + 5) - 11(x + 5)}{x + 5}[/tex]
Factor out x + 5
[tex]\frac{(3x- 11)(x + 5)}{x + 5}[/tex]
Cancel out x + 5
[tex]3x - 11[/tex]
Hence, the quotient is [tex]3x - 11[/tex]
Express as a trinomial.
(3x + 7)(3x – 9)
Answer:
9x² - 6x - 63
Step-by-step explanation:
Use the FOIL method. FOIL stands for First, Outside, Inside, Last.
Multiply following the FOIL:
3x * 3x = 9x²
3x * -9 = -27x
7 * 3x = 21x
7 * -9 = -63
9x² - 27x + 21x - 63
Combine like terms.
9x² (-27x + 21x) - 63
9x² - 6x - 63
9x² - 6x - 63 is your answer.
~
whats 3x3+4 use pemdas ?
Answer:
13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
First, we do 3x3 which is 9.
Then, we do 9+4=13
Hope this helps =]
HELP!
What is the missing term? What is the rule? 8 9/10, 7 7/10, 6 1/2 , _________
Answer:
5 3/10
Step-by-step explanation:
You subtract 1 1/5 from the number (n).
(In equation) x = n - 1 1/5
A penguin walks 10 feet in 6 seconds. At this speed how far does the penguin walk in 45 seconds?
Answer:
The penguin will walk 75.15 feet in 45 seconds. It will take the penguin 26.95 seconds to walk 45 feet
Step-by-step explanation:
hope it helps !
Answer: 75 feet
Step-by-step explanation:
PLS HELP, WILL REWARD BRAINLIEST ASAP :)
sebuah pesawat penyelam terbang dengan kecepatan 55.0 m/s dengan ketinggian konatan h 400m dengann gaya gravitasi 9.8 m/s kuadrat.tentukan sudut elevasi !!
help
Answer:
Step-by-step explanation:
Hand d hands. I Nnendjejw ndndnenend nsdnd nsrjer
2(x+11)=3x=42simplify
Answer:
2x+22=42
Step-by-step explanation:
2x+22-22=42-22. which is 2x=20 divide both sides with 2,therefore the answer is 10
hello, i need help.
find m∠bae
Answer:
125
Step-by-step explanation:
180-55=125
what is 20.907x0.0004
Answer:
0.0083628
Step-by-step explanation:
Here is the answer
Complete the Square
x2 + 10x +
Answer:
( + 10)
Hope this helps you out
help me plsssssssssssss
9514 1404 393
Answer:
(a) $2.857 million
(b) vertical compression by 1/3; shift left by 6; shift up by 2
Step-by-step explanation:
(a) Find the year difference (2021-2010=11) and put that value where x is. Then do the arithmetic.
g(11) = (∛(11+6))/3 +2 = (∛17)/3 +2 ≈ 2.57128/3 +2 ≈ 0.857 +2
g(11) ≈ 2.857 . . . 2021 revenue in millions of dollars
__
(b) For parent function f(x), the transformation ...
g(x) = a·f(x -h) +k
represents a vertical scaling by a factor of 'a', right shift by h units, and up shift by k units.
Comparing this form to the given g(x), we see ...
a = 1/3 . . . vertical compression by a factor of 1/3
h = -6 . . . .right shift 6 units
k = 2 . . . . up shift 2 units
_____
Additional comment
The vertical scaling is called "compression" when the scale factor is less than 1, and "stretch" when the scale factor is greater than 1. Here, the scale factor of 1/3 means the graph is vertically compressed.
A. Y
B. X
C. W
D. Z
Does anyone know the answer? I would really appreciate it!!
Answer:
B
Step-by-step explanation:
The answer is B hope that help
Leo ran 1 1/8 miles every day and for 7 days. He wrote the equation below to help him find the total number of miles he ran for the week.
Answer:
7.875
Step-by-step explanation:
1 1/8 times 7= 7.875
Help Please ASAP all answers are greatly appreciated!
Answer:
its either a or b not entirely sure on which
Step-by-step explanation:
the area of the rectangle is 180 (15x12) so it cant be 180 and the semicircle is smaller then the rectangle so it cant be more than 360 hope this helps
Answer:
236.5
Step-by-step explanation:
Sorry if it looks messy, I messed up in the middle!
Please help! 20 points!
Answer:
i dont know sorry
Step-by-step explanation:
Someone plz help in this math question
Answer:
BDA=52 angles at the centre is equal to 2× angles at circumference
5.
Write the slope-intercept form of the equation for the line.
A. y = – 2x – 1
B. y= (1)/(2)x + 1
C. y= (1)/(2)x - 1
D. y = 2x – 1
Urgent!
E is directly proportional to F.
When E = 2, F = 8
(a) Find an equation for E in terms of F.
(b) Find the value of E when F = 30
(C) Find the value of F when E = 100
Answer:
a. 4×2 = 8
b. E = 120
c. F = 400
Identify the expression equivalent to 16x + 24y
1. 2 (8x + 24y)
2. 8 (8x + 3y)
3. 8 (2x + 3y)
4. 4 (2x + 6y)
i need help pls and thank you
Mr. Fisherman spent his weekend working in his yard. He had 1/6 of a bag of soil that he spread evenly among his 2 garden beds. How much soil did he put in each garden bed?
Answer:
1/12 per bag
Step-by-step explanation:
A Fisherman spent his weekend working on his farmland
He had 1/6 of a bag of soil
He spreads it evenly among his 2 garden beds
Therefore the soil in each garden bed can be calculated as follows
= 1/6 ÷ 2
= 1/6 × 1/2
= 1/12 per bag
What integer is closet to n
Answer:
Rounding to the Nearest Integer
The most common type of rounding is to round to the nearest integer. The rule for rounding is simple: look at the digits in the tenth's place (the first digit to the right of the decimal point).
Round the following real number to the nearest hundredth: 67.498
Answer:
67.50
Step-by-step explanation:
Answer:
67.5The hundredth is always the second number after the decimal point (to the right).
So, when rounding to that number look at the number on the right of it, which in this case is 9.
Then, if the number is 5 to 9, round up, but if it is 0 to 4, round down.
In this case, the number above 0.49 is 0.5.
Hope this helps! I would really appreciate it if you would mark me brainliest! Have a blessed day!
Show that the area of triangle DEF is 11 cm2.
9514 1404 393
Explanation:
The length CD can be found from the Pythagorean theorem.
CF² + CD² = DF²
2² + CD² = (2√10)²
CD² = 40 -4 = 36
CD = √36 = 6
From here, any of several methods could be used to find the area of ΔDEF.
One of them is to subtract the areas of the triangles that are not ΔDEF from the area of the rectangle ABCD.
area ABCD = bh = (6 cm)(5 cm) = 30 cm²
area ΔADE = 1/2bh = 1/2(4 cm)(5 cm) = 10 cm²
area ΔBEF = 1/2bh = 1/2(2 cm)(3 cm) = 3 cm²
area ΔCDF = 1/2bh = 1/2(6 cm)(2 cm) = 6 cm²
Then the area of interest is ...
area ΔDEF = area ABCD -area ΔADE -area ΔBEF -area ΔCDF
area ΔDEF = (30 -10 -3 -6) cm²
area ΔDEF = 11 cm²
__
Alternate solution
If we define A as the origin of a coordinate system, then the coordinates of the vertices of ΔDEF are ...
D(0, 5), E(4, 0), F(6, 3)
The area can be computed as half the absolute value of the sum of the determinants of 2×2 matrices consisting of adjacent points.
[tex]A=\dfrac{1}{2}\left|\left|\begin{array}{cc}0&5\\4&0\end{array}\right|+\left|\begin{array}{cc}4&0\\6&3\end{array}\right|+\left|\begin{array}{cc}6&3\\0&5\end{array}\right| \right|\\\\=\dfrac{1}{2}|(0-20)+(12-0)+(30-0)|=\dfrac{1}{2}(22) = \boxed{11}[/tex]
_____
Additional comment
The solution using coordinates is effectively equivalent to the computation of the area of trapezoid ABFD, less the areas of triangles EBF and AED.
The dimensions of a box are (x+3),(3x-4),(5x+1). What is the volume of the box? 9x 9x^3 15x^3+28x^2-55x-12
Answer:
15x^3+28x^2-55x-12
Step-by-step explanation:
Dimensions of the box are (x+3), (3x-4), and (5x+1). Let these be length, width and height of the box.
assuming the box is cuboidal
Therefore, volume of the box = Length× width× height
⇒volume of the box = (x+3)×(3x-4)×(5x+1)
now, (x+3)×(3x-4) = (3x^2+5x-12)
Now, volume of the box = (3x^2+5x-12)×(5x+1)
= 15x^3+28x^2-55x-12
i just need the equation!
Answer:
let the no. of students in art class be x
then
9+4x=101
now u can solve it! u will get x = 23
I purchased a new book that was on sale for 40% off. I saved $24.00 because of the sale. What was the original price? (6 points)
Pls Answer I need it for my test thats due Monday
Answer:
60
Step-by-step explanation:
24 dividend by 4 equals 6.
this means 10% of the original price is 6.
6 times 10 equals 60
hope this helps!!!
$480 is shared in the ratio 4:3:5
A circle has a radius of 50 cm. Which of these is closest to its area?
Answer:
Approximately 7853.98
Step-by-step explanation:
The formula to finding the area of a circle based on radius is [tex]\pi r^2\\[/tex], where r is radius. Hope this helped :D