Answer:
choose D
Step-by-step explanation:
x/(x²+3x+2) - 1/[(x+2)(x+1)]
x² + 3x + 2 = x² + 2x + x + 2
= x(x + 2) + (x + 2)
= (x + 2)(x + 1)
= x/[(x+2)(x+1)] - 1/[(x+2)(x+1)]
= (x-1)/[(x+2)(x+1)]
= (x-1)/(x²+3x+2)
What data are represented by the stem-and-leaf
plot below
Answer: A. = 37,38,39,41,43,47,52,54
Step-by-step explanation:
The numbers to the left represent the tens place, and each number on the right represents a different ones place value (according to key.)
Therefore, we find a chronological list of numbers, such as:
37,38,39,41,43,47,52,54
This list is the answer Choice of A.
Hope this Helped!
Melanie spent half of her allowance going to the movies. She's washed the family car and earned 6 dollars. What is her weekly allowance if she ended up with fifteen dollars??
(I will mark brainliest)
Which number line shows a graph of the inequality x > - 25
Answer:
I think it's b
Step-by-step explanation:
its at -25 and the arrow is going the way the > points
Using the net below, find the surface area
of the pyramid.
9\cm
13 cm
m 3 cm
.
Surface Area =
[?] cm2
Refer to attachment for your answer
The circumference of a circle is 141.3 inches. What is the radius? Use 3.14 for /pi
Answer:
22.5
Step-by-step explanation:
Radius = Circumference / (2*PI 3.14) = 22.5
When you line the data from low to high and take the middle number you are finding the...
O mean
O median
O mode
O range
Lines j and k are parallel and intersected by line e. What is the value of x?
Answer:
x = 38
Step-by-step explanation:
We can set both angles equal to 180° since they are same side interior angles;
(2x - 10)° + 3x° = 180°
5x - 10° = 180°
5x = 190°
x = 38
Hope this helps!
How many hours of work are included in a $190 bill for a book project?
Answer:
C. [tex]5\frac{1}{2}[/tex]
Step-by-step explanation:
\$190 includes flat \$25 of editing charges.
->Charges of work on book project
= $190 - $25 = $165
Per hour charges = $30 (given)
No of hours = 165/30 = [tex]5\frac{1}{2}[/tex]
Given tan(8) = 4/3 and sin(8) = -4/5, find cos(8).
A. 1/3
B. -1/3
C. 3/5
D.-3/5
E. -3squared/5
I assume you mean β in place of 8.
Remember that tangent is defined as
tan(β) = sin(β) / cos(β)
so that
cos(β) = sin(β) / tan(β) = (-4/5) / (4/3) = -3/5 … … … [D]
If f(x) = 2x^3 +6x^2+2x - 10 and f(1) = 0, then find all of the zeros of f(x) algebraically.
Answer:
[tex]\displaystyle x = 1, - 2 + i, -2 -i[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle f(x) = 2x^3 + 6x^2 + 2x - 10 \text{ and } f(1) = 0[/tex]
And we want to find all zeros of f algebraically.
Since f(1) = 0, then (x - 1) is a zero of f.
We can hence factor by synthetic division:
[tex]\begin{table}[]\begin{tabular}{lllll}\multicolumn{1}{l|}{1} & 2 & 6 & 2 & -10 \\\multicolumn{1}{l|}{} & & 6 & 2 & 10 \\ \cline{2-5} & 2 & 8 & 10 & -10 \\ & & & & \end{tabular}\end{table}[/tex][tex]\begin{tabular}{lllll}\multicolumn{1}{l|}{1} & 2 & 6 & 2 & -10 \\\multicolumn{1}{l|}{} & & 2 & 8 & 10 \\ \cline{2-5} & 2 & 8 & 10 & 0 \\ & & & & \end{tabular}[/tex]
Therefore:
[tex]\displaystyle \begin{aligned} f(x) & = 2x^3 + 6x^2 + 2x- 10 \\ \\ & = (x-1)(2x^2 + 8x + 10) \\ \\ &= 2(x-1)(x^2 + 4x + 5)\end{aligned}[/tex]
Therefore, by the Zero Product Property:
[tex]\displaystyle x-1 = 0 \text{ or } x^2 +4x + 5 = 0[/tex]
From the quadratic formula:
[tex]\displaystyle \begin{aligned}x & = \frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ \\ & = \frac{-(4)\pm\sqrt{(4)^2 - 4(1)(5)}}{2(1)} \\ \\ &= \frac{-4\pm\sqrt{-4}}{2} \\ \\ &= \frac{-4\pm 2i}{2} \\ \\ & = -2\pm i \end{aligned}[/tex]
Therefore, all the zeros of f include:
[tex]\displaystyle x = 1, - 2 + i, -2 -i[/tex]
help please for questions 1-6:)
Answer:
Actually, I am not sure about the Ans of 6 no.
please mark me brilliant
A coin is flipped three times. H represents heads, and T represents tails. What is the sample space?
{HHH, TTT, HTT, HHT, TTH, THH, THT, HTH}
(HHH, TTT, HTT, THH, THT}
{HH, TT, HT, TH}
{HTT, HHT, TTH, THH, HTH}
Answerit is false
Step-by-step explanation: smart
HELP PRETTY PLEASE
The scatter plot below shows the relationship between the number of bill.
The most appropriate prediction of the grocery bill for a family that
consists of six members is
(1) $100
(2) $300
(3) $400
(4) $500
Answer:
$300
hope this helps :)
Suppose ABCD is a rectangle, F and G are points on
DC
such that
DF = GC, and
A(F) ∩ BG = E. Prove that DE = CE.
(I had to put parentheses around the F or else Brainly would think I'm swearing, just so you know. )
The two sides are equal and for that reason DE = CE as shown below :
AD = BC, DF = GC
E = A(F) and E = BG, therefore A(F) = BF
Description of rectangle
Now we all know that a rectangle has four edges which are A, B, C, D.
when we divide the bottom line, which is the line from point C to D into three parts we will have ( DF, FG, and GC )
From the question we know that DF = GC
E is the intersection of A(F) and BG
we can now Prove that DE = CE.
since D and C are point included in E and since this is a rectangle
AD = BC, DF = GC
E = A(F) and E = BG, therefore A(F) = BF
DE = CE
We can conclude by saying that in a rectangle two sides are equal and for that reason DE = CE
Learn more about Rectangle : brainly.com/question/22148953
Match each area to its corresponding radius or diameter of the circle.
Answer:
For radius = 12 the area = 452.16
for diameter = 16.8 the area = 221.5584
for radius = 3.4 the area = 36.2984
for diameter =10 the area = 78.5
Step-by-step explanation:
If a starting population size is 200 individuals and there are 20 births and 10 deaths per year, the per capita growth rate (r) is ____ and the new population size after one year will be
The per capita growth rate is 5% and the new population size after one year will be 210 individuals
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The per capita growth rate is given as:
per capita growth rate = change in population / initial population = (20 - 10)/200 = 0.05 = 5%
In one year, population = 200 + (0.05 * 200) = 210
The per capita growth rate is 5% and the new population size after one year will be 210 individuals
Find out more on equation at: https://brainly.com/question/2972832
What is the volume?? 23pts
Answer:
96π mm^3
Step-by-step explanation:
πr^2*h = formula
π4^2*6 = 16π(6) = 96π mm^3
Answer:
[tex]\Longrightarrow: \boxed{\sf{96\pi }}[/tex]
Step-by-step explanation:
You must use the volume of this cylinder formula to solve the volume of this cylinder.
Volume of this cylinder formula:
[tex]\Longrightarrow: \sf{\pi r^2*h}[/tex]
R² =4²mmH (height) =6mm[tex]\Longrightarrow\sf{\pi 4^2*6}[/tex]
Use the order of operations.
PEMDAS stands for:
ParenthesesExponentsMultiplyDivideAddSubtractFirst, solve exponents.
4²=4*4=16
16*6
Multiply.
16*6=96
[tex]\Longrightarrow: \boxed{\sf{96\pi}}[/tex]
Therefore, the correct answer is C. 96π.I hope this helps! Let me know if you have any questions.
A botanist records the height of a plant every day for a month. She wants to create a graph to show how the plant's height changed over the month. What type of display should she use? Explain.
Answer:
Scatter plot because, A simply X-Y axis line graph is a good choice for this. I hope I could help.
The scatter plot display should used to records the height of a plant every day for a month.
What is scatter plot?Scatter plot is a "set of points plotted on a horizontal and vertical axes"
According to the question,
A graph to show how the plant's height changed over the month. A
scatter plots contain 'x' axis used to represent the heights of the plants and 'y' axis used to represent every day of a month .
Hence, scatter plot display should used to records the height of a plant evert day for a month.
Learn more about scatter plot here
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HELP QUICK PLS ! A circle with radius of 2 cm sits inside a 7 cm x 11 cm rectangle. What is the area of the shaded region? Round your final answer to the nearest hundredth. 7 cm 2 cm 11 cm
Answer:
77 - 8pi cm
Step-by-step explanation:
Area of Circle = 2pi*r^2 = 8pi cm
Area of rectangle = 7 X 11 = 77cm
Area of shaded region = 77cm - 8pi cm
Answer:
89.6^2 - hope this helped :)
Step-by-step explanation:
area of rectangle = 7 x 11 = 77 cm^2
area of circle = 2 x 2 x 3.14 = 12.56^ 2
all together = 89.56
rounded up = 89.6 cm^2
Please help! Will mark brainlyest.
Answer:
C. -3 is less than -5
Step-by-step explanation:
Point A B and C are given above. What point is missing to make a parallelogram
I think D at (2,1) will do
hope it helps...!!!
Answer:
(-1 , -1)
Step-by-step explanation:
let D be the missing point
D lie on the line that passes through the point A and parallel to the line BC
D lie on the line that passes through the point C and parallel to the line AB
Then D is the intersection of those two lines
Then D is the point of coordinates (-1 , -1)
if you know the answer lmk!!
Answer:
32.370705543744904
Step-by-step explanation:
is 11/2 greater, less or equal to 6/1
Answer:
6/1>11/2
Step-by-step explanation:
11/2=5.5
6/1=6
Last month, korey’s comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850. calculate korey’s gross profit margin. a. 42.5% b. 55.7% c. 76.3% d. 179.5% please select the best answer from the choices provided a b c d
Answer:
76.3%
Step-by-step explanation:
If korey’s comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850 then gross profit margin is 76.32%
Given that Last month, korey’s comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850.
We need to find the korey’s gross profit margin
The formula for gross profit margin is (Gross Profit / Net Sales) x 100%.
we can calculate Korey's gross profit margin as:
(Gross Profit / Net Sales) x 100%
= (3320 / 4350) x 100%
= 76.32%
To learn more on Gross profit margin click:
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Shawheen puts the cost of a weekend trip
Answer:
I need a problem
Step-by-step explanation:
Please fix your question
There are 160 people in a grade. The ratio of boys to girls is 3 to 5. Write a proportion you can use to find the number of boys.
Answer:
If the first proportion is 3 to 5
We can add a second proportion can be found by ✖ both number by any other numbers
Like multiply. By 2.we get
[tex]6 \: to \: 15[/tex]
Please help i will give brainliest
Answer:
c
Step-by-step explanation:
Answer:
okay so I think the answer is C the average size of the seventh grade class I'd larger and varies more than that of a kindergarten class
LOCKS IN 10 MIN! WILL GIVE BRAINLEST!
Answer:
0.952
Step-by-step explanation:
Given :
opposite side of 80 inchesadjacent side of 84 incheshypotenuse of 116 inchesSolving :
tan(θ) = opposite / adjacenttan(θ) = 80/84 = 20/21tan(θ) = 0.952Answer:
4th option
Step-by-step explanation:
tanΘ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{80}{84}[/tex] ≈ 0.952 ( to 3 dec. places )
please help!! Find the center and radius of the circle represented by the equation below.
(x - 5)2 + (y + 13)2 = 400
Center:
Radius:
Submit Answer
Answer:
circle represented by the equation below.
(x - 5)2 + (y + 13)2 = 400
Center:
Radius:
Farrah scored 42 points during a recent basketball game. She made only 2-point shots and 3-point shots. In total, Farrah made 19 shots.
Create two unique equations that model the number of 2-point shots, x, and the number of 3-point shots, y, that Farrah made in the game.
Farrah's unique equations is an illustration of system of equations
The unique equations are 2x + 3y = 42 and x + y = 19
How to create the system of unique equations?The given parameters are:
Total shots = 19 shots2-point shots = x3-point shots = yTotal points = 42The total points is represented as:
2x + 3y = 42
The total shots is represented as:
x + y = 19
Hence, the unique equations are 2x + 3y = 42 and x + y = 19
Read more about system of equations at:
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