Answers
Answer: A) (x + 12) and (x + 9)
Step-by-step explanation:
You need to get x^2 + 21x + 108.
A) (x + 12) (x + 9) = x^2 + 12x + 9x + 108 = x^2 + 21x + 108
B) (x - 12) (x - 9) = x^2 - 9x - 12x + 108 = x^2 -21x + 108
C) (x - 27) (x - 4) = x^2 - 4x - 27x + 108 = x^2 - 31x + 108
D) (x + 27) (x + 4) = x^2 + 27x + 4x + 31 = x^2 + 31x + 31
So, the answer is A).
Related Questions
The circumference of the base of the cone is 8.5 inches. What is the volume of the cone in term of pi? Round to the nearest hundredth
Answers
========================================================
Work Shown:
C = 2*pi*r ......... circumference of the circular base
r = C/(2pi)
r = (8.5)/(2pi)
r = 4.25/pi
-------------
V = pi*r^2*h ...... volume of the cone
V = pi*(4.25/pi)^2*15
V = pi*(18.0625/pi^2)*15
V = (18.0625*15)/pi
V = 270.9375/pi ..... exact volume in terms of pi
If we round that decimal number up top to the nearest hundredth, then we end up with V = 270.94/pi
Select the correct answer.
Given: ABC with DE||AC
Prove: AD/DB = CE/EB
Answers
Answer:
AB/DB = CB/EB
Step-by-step explanation:
This is the answer on Pluto. I got lucky when I guessed
The solution is given below.
What is alternate angles?The alternate exterior angle theorem states that if two lines are parallel and are intersected by a transversal, then the alternate exterior angles are considered as congruent angles or angles of equal measure.
Here given:
AB II DE, AC = CE
Now, in ΔABC and ΔEDC
As, AB II DE (given)
⇒∠BAC = ∠CED (Alternative pairs of angles)
and ∠ABC = ∠CDE (Alternative pairs of angles)
and AC = CE (given)
So, by the congruent property of AAS
(ANGLE ANGLE SIDE) which states that two triangle are congruent if two angles and one side of one triangle is equal to the two angles and one side of the other triangle.
ΔABC ≅ ΔEDC
to learn more on alternate angle click:
brainly.com/question/7197938
#SPJ7
complete question:
Given: AB II DE, AC = CE
Prove: A ABC = A EDC
Andy's average driving speed for a 4 hour trip was 48 miles per hour. During the first 3 hours he drove 50 miles per hour. What was his average speed for the last hour on his trip.
PLEASE HELP AND SHOW WORK YOU WILL GET BRAINLEST MARK
Answers
Answer:
Step-by-step explanation:
Distance = 48 * 4
Distance = 192
~~~~~~~~~~~~~~~
3*50 = 150
192 - 150 = 42
42 MPH for the last hour
HELP !!!! look at the picture
Answers
Answer:
Option C:
g(x) = -3^x
Step-by-step explanation:
Here we can see the graphs of f(x) and the graph of g(x).
By only looking at that, we can see that g(x) is a reflection across the x-axis of f(x).
Remember that for a general function f(x), the reflection across the x-axis is written as:
g(x) = -f(x).
Then, if f(x) = 3^x
and g(x) = -f(x)
replacing f(x) we get:
g(x) = -(3^x) = -3^x
The correct option is C.
Intersection and conditional probability problem. Can anyone help solve this problem?
Answers
Part (a)
Refer to figure 1 in the attached image below. The a,b,c,d,e are placeholders for numbers we'll fill in later (that turns into the table for figure 2). Hopefully you agree about the placement of the numbers. If there's any confusion, then please let me know.
Along the bottom row, we can see that 39+e = 65 which solves to e = 26 after you subtract 39 from both sides. This tells us that there are 26 non-physics majors (ie their major is anything but physics).
Then along the "non-physics" column, notice how b+6 = e, which is the same as b+6 = 26 after replacing 'e' with 26. Solving that equation leads to b = 20. So we have 20 people who are seniors and non-physics majors.
Now move to the top row. We can see that a+b = 30, which is the same as a+20 = 30 because we plug in b = 20. That solves to a = 10. So we have 10 seniors who are physics majors.
----------------
Now along the first column, we have a+c = 39, aka 10+c = 39, which solves to c = 29. There are 29 non-seniors who are physics majors.
The last variable to find is variable d.
Along the second row, we can say,
c+6 = d
29+6 = d
d = 35
Or we could say that 30+d = 65 along the last column which also solves to d = 35. This tells us we have 35 non-seniors in the class.
----------------
To summarize so far, we have
a = 10, b = 20, c = 29, d = 35, e = 26
These values will replace the letters as shown in figure 2.
Figure 2 will be used to answer both parts (a) and (b).
----------------
After that (more than) slight detour of filling in the table, we can finally tackle the question at hand. We're asked to find the probability of selecting someone who is a senior and a physics major. We have a = 10 people who fit the description out of 65 total
Divide the two values and reduce the fraction as much as possible
10/65 = (2*5)/(13*5) = 2/13
Answer: 2/13==========================================================
Part (b)
There's a lot going on with part (a). Luckily there aren't many steps here because pretty much all the work has been done already. We'll refer to figure 2 below.
We're told "given the student is a physics major", which means we focus solely on the "physics major" column only. We ignore everyone else because we know 100% that whoever we selected majored in physics.
We have a = 10 seniors who are also physics majors out of 39 physics majors total.
That constructs the fraction 10/39
Answer: 10/39What is the greatest solution of x in the equation x2 + 8x - 30 = 18?
Enter your answer in the box.
Answers
9514 1404 393
Answer:
x = 4
Step-by-step explanation:
Subtracting 18, we have the equation ...
x^2 +8x -48 = 0
(x +12)(x -4) = 0 . . . . . factored form
The values of x that make these factors zero are the solutions:
x = -12, x = 4
The greatest solution is x=4.
Answer:
Greatest solution of x = 4
Step-by-step explanation:
x² + 8x - 30 = 18
subtract 18 from both sides
x² + 8 x - 30 - 18 = 18 - 18
x ² + 8 x - 48 = 0
split 8x in middle form
x² + ( 12 x - 4 x ) - 48 = 0
factor out x from the first pair
x ( x + 12 ) - ( 4 x- 48 ) = 0
factor out 4 from the second pair
x ( x + 12) - 4 ( x + 12 ) = 0
x + 12 is common factor
x ( x + 12) - 4 ( x + 12 ) = 0
Group common factor
(x - 4) ( x + 12 ) = 0
When the product of factors equal 0, at least one factor is 0.
x - 4 = 0
x = 4
similarly,
x + 12 = 0
x = - 12
Greatest solution of x = 4
Choose the equation of the line that is parallel to the y-axis.
x = -2
x + y = 0
x = y
y = 2
Answers
Answer:
x=-2
Step-by-step explanation:
If x always = -2, it is a straight vertical line which means it is parallel to the y axis
f(x)=3x-3
g(x) 3x^3+5
Find F(-3) and g(-2)
Answers
Answer:
f(-3) = -12
g(-2) = -19
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 3x - 3
g(x) = 3x³ + 5
f(-3) is x = -3 for function f(x)
g(-2) is x = -2 for function g(x)
Step 2: Evaluate
f(-3)
Substitute in x [Function f(x)]: f(-3) = 3(-3) - 3Multiply: f(-3) = -9 - 3Subtract: f(-3) = -12g(-2)
Substitute in x [Function g(x)]: g(-2) = 3(-2)³ + 5Exponents: g(-2) = 3(-8) + 5Multiply: g(-2) = -24 + 5Add: g(-2) = -19Answer:
f(-3) = -12
g(-2) = -19
Step-by-step explanation:
1.
f(x) = 3x - 3
One is asked to find (f(-3)), substitute (-3) into the given function (f) in place of (-3), and solve to evaluate,
f(-3) = 3(-3) - 3
Simplify,
= -9 - 3
= -12
2.
g(x) = [tex]3x^3+5[/tex]
The problem asks one to find (g(-2)), subtitute (-2) into the function in place of (x) and solve to find tis value,
g(-2) = [tex]3(-2)^3+5\\[/tex]
Remember any number raised to an exponent is equal to the base (the number that is being raised to the exponent) times itself the number of times that the exponent indicates,
[tex]=3(-8)+5\\=-24+5\\=-19[/tex]
What is the range of g(x) = -2 [X + 3] + 2?
Answers
Answer:
A.
Step-by-step explanation:
When x = -3 g(x) = + 2 and this is the maximum value of g(x).
All other values of x give a value of g(x) < 2.
The range is (-∞, 2]
(x-7)(x^2+3x-3) multiply the polynomials
Answers
Step-by-step explanation:
= (x - 7)(x² + 3x - 3)
= x³ - 7x² + 3x² - 21x - 3x + 21
= x³ - 4x² - 24x + 21
2x-4=20
Please fast with steps !
Answers
Answer:
x=12
hope it will helpful to you
If f(x) is a linear function, f(−2)=4, and f(1)=−1, find an equation for f(x)
Answers
Answer:
[tex]y = -\frac{5}{3}x+\frac{2}{3}[/tex]
Step-by-step explanation:
Given
[tex]f(-2) = 4[/tex]
[tex]f(1) = -1[/tex]
Required
The equation of the function
The given parameters means that:
[tex](x_1,y_1) = (-2,4)[/tex]
[tex](x_2,y_2) = (1,-1)[/tex]
Calculate the slope (m)
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
[tex]m = \frac{-1-4}{1--2}[/tex]
[tex]m = \frac{-5}{3}[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y =\frac{-5}{3}(x--2)+4[/tex]
[tex]y =\frac{-5}{3}(x+2)+4[/tex]
Open bracket
[tex]y = -\frac{5}{3}x-\frac{10}{3}+4[/tex]
Take LCM
[tex]y = -\frac{5}{3}x+\frac{-10+12}{3}[/tex]
[tex]y = -\frac{5}{3}x+\frac{2}{3}[/tex]
The vertices of a trapezoid are located at (1, 2), (3, 1), (3, 5), (1, 4). The trapezoid is translated 4 units to the right. What are the coordinates of the image of the trapezoid?
Answers
Answer:
Suppose that we have a given point (x, y)
If we translate this point N units to the right, then the new coordinates of the point are:
(x + N, y)
Ok, now if we know that the vertices of the trapezoid are:
(1, 2), (3, 1), (3, 5), (1, 4)
And we move the whole figure 4 units to the right, then all the vertices are moved 4 units to the right.
Then the new vertices of the figure will be:
(1 + 4, 2) = (5, 2)
(3 + 4, 1) = (7, 1)
(3 + 4, 5) = (7, 5)
(1 + 4, 4) = (5, 4)
Then the coordinates of the image of the trapezoid (of the new vertices) are:
(5, 2), (7, 1), (7, 5), (5, 4)
x-value of 0
f(x) = |x|
f(x) = |x| + 3
f(x) = |x + 3|
f(x) = |x| − 6
f(x) = |x + 3| – 6
Answers
9514 1404 393
Answer:
0, 3, 3, -6, -3
Step-by-step explanation:
Maybe you want to find f(0) in each case. Put 0 where x is, and do the arithmetic.
f(0) = |0| = 0
f(0) = |0| +3 = 3
f(0) = |0 +3| = 3
f(0) = |0| -6 = -6
f(0) = |0 +3| -6 = -3
The list price on slacks is $22, and the list price on jumpers is $37. If Petit’s Clothing Store orders 30 pairs of slacks and 40 jumpers at a discount rate of 11%, what is the trade discount on the purchase?
Answers
Step-by-step explanation:
Calculate the value of decimal equivalents of complements, net decimal equivalent and net price with the help of given data:
List price= $200
Trade discount series= 20/10
Calculate the decimal equivalents of complements using given formula:
Complements of successive discount = 
= 80% / 90%
Hence, decimal equivalent of complements are 80% / 90%.
Answer:
Trade discount = $235.40
Step-by-step explanation:
List price :
Slacks = 22
Jumpers = 37
Total amount before discount = (30 x 22) + ( 40 x 37)
= 660 + 1480
= 2140
Discount rate = 11%
So,
[tex]Discount \ price = 11 \% \ of \ 2140\\\\Discount \ price = \frac{11}{100} \times 2140 = 235.40[/tex]
PLEASE HELP ME WILL MARK YPU IF YOU HELP ME
Answers
ok check image file in the image is answers with color code
ASSESSMENT:
Act as the person in the problem Do the activity. Record your
findings then answer
1. A farmer placed 250 mangoes in a crate, these are 150 ripe and 100 unripe
mangoes, his wife randomly selected 80 mangoes, she got 50 ripe mangoes
and 20 unripe mangoes, find the experimental probability of the mangoes she
selected.
2. A table tennis player has 40 orange table tennis balls, 30 white and 20 yellow
table tennis balls. After selecting 18 balls, he found out that he got 6 white
table tennis balls. Find out the experimental probability of getting white table
tennis table tennis balls.
please answer this
Answers
Answer:
in 1st his wife selected 80 mangoes 50 ripe and 20 unripe how it can be
Step-by-step explanation:
50+20=70 not 80
please share the correct question than I may help you
Jenny made 200 bracelets. She sold 64% of the bracelets at a craft fair.
a. How many bracelets did she sell?
b. How many bracelets were not sold?
Answers
Step-by-step explanation:
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Answer:
Jenny sold 128 braclets. 72 bracelets weren't sold.
Step-by-step explanation:
IMPORTANT FORMULA: TO CONVERT A NUMBER TO A PERCENT, YOU HAVE TO MULTIPLY BY 100. TO CONVERT A PERCENT TO A NUMBER, YOU HAVE TO DIVIDE BY 100.
a) How many bracelets did she sell?
Using the formula that is shown above, I can conclude that 64%=64/100=32/50=16/25
Jenny sold 64% of the 200 bracelets.
In mathematics, the word "of" means multiplication.
64% of 200 = 16/25 * 200 = 128
Jenny sold 128 braclets.
to answer part 2, 200 bracelets - 128 bracelets = 72 bracelets.
72 bracelets weren't sold.
A right cone has a surface area of 440 square inches and a radius of 7 inches. Find its slant height.
Answers
Answer:
13 inches
Step-by-step explanation:
Surface area of a right cone = pi*r(r+L)
i,e, 440 = 22/7*7(7+L)
440 = 22(7+L)
440 = 154 + 22L
440 - 154 = 22L
286 = 22L
286/22 = L
13 = L
Therefore the slant height is 13inches
Hope u understand
Thank You
Identify the type of observational study (cross-sectional, retrospective, or prospective) described below. A research company uses a device to record the viewing habits of about 7500 households, and the data collected today will be used to determine the proportion of households tuned to a particular sports program. Which type of observational study is described in the problem statement?
Answers
Answer:
Cross sectional study
Step-by-step explanation:
Cross sectional study, also known as traverse or prevalence study caloukdnbe defined as a form of observational study which involves analysing a certain sample of data which is selected based on a variable of interest. This data is collected at a given point in time across the sample population. In the scenario described above, the record of viewing habit of 7500 household smoke obtained today(point in time) will be used to determine the proportion tuned to a particular sport programme. (data collected is based on the variable to be analyzed).
Find tan 0, where is the angle shown. Give an exact value, not a decimal approximation. (PLZ HELP DUE SOON I GIVE BRAINLIST :D)
Answers
Answer:
[tex]\frac{24}{7}[/tex]
Step-by-step explanation:
Tanθ=Opposite/Adjacent
we have the adjacent side but need the oppsoite
We will use a²+b²=c²
25²=7²+b²
576=b²
b=24
Therefore the answer is
[tex]\frac{24}{7}[/tex]
What are the center and radius of the circle defined by the equation x^2 + y^2 -6x + 8y + 21=0
Answers
Answer:
Step-by-step explanation:
(x²-6x)+(y²+8y)=-21
(x²-6x+9)+(y²+8y+16)=-21+9+16
(x-3)²+(y+4)²=4
center=(3,-4),radius=√4=2
A triangle has side lengths of 24 centimeters and 35. The third side has a length of x centimeters. Complete the inequality to show all the possible values of x.
*2 answers*
Answers
Answer: [tex]11<x<59[/tex]
Step-by-step explanation:
Given
The side of the triangle are [tex]24\ \text{and }35[/tex]
Suppose the third side is [tex]x[/tex]
Also, the sum of the two sides of the triangle is always greater than the third
[tex]\therefore x<24+35\\\Rightarrow x<59\quad \ldots(i)[/tex]
Similarly,
[tex]\Rightarrow x+35>24\\\Rightarrow x>-11[/tex]
Also,
[tex]\Rightarrow x+24>35\\\Rightarrow x>11\quad \ldots(ii)[/tex]
From (i) and (ii) we get
[tex]\Rightarrow 11<x<59[/tex]
có bao nhiêu hình tứ giác
Answers
Answer:
si si amigo adila
Step-by-step explanation:
Point B has coordinates (4,2). The x-coordinate of point A is - 1. The distance between point A and
point B is 13 units. What are the possible coordinates of point A?
Answers
Answer:
A (-1,-10) ; A (-1,14)
Step-by-step explanation:
[tex]\sqrt{(-1-4)^2 + (y-2)^2} = 13 \\ 25 + y^2 + 4 -4y = 169[/tex]
y^2 -4y - 140 = 0
Δ/4 = 4 + 140 = 144
y1 = 2 + 12 = 14
y2 = 2 -12= -10
It is A (45). Hope this helps!
Answers
find the equation of common tangent of x²+y²=4ax and y²=4ax.
Answers
Step-by-step explanation:
x² +4ax+y² =0
x² +4ax+4a² +y² =4a²
(x+2a) ² +y² =4a² ......(i)
y² =4ax.........(ii)
By tracing the circle and the parabola we can clearly see that they touch each other along the y axis
So the equation of common tangent is x=0.
Use substitution to solve the system of equations and choose the solution from the list below.
Look at the image
Answers
Answer:
Option : ( 2 , 6 )
x = 2, y = 6
Step-by-step explanation:
[tex]y = 4x - 2[/tex] ---------------- ( 1 )
[tex]y = -2x + 10[/tex] -------------- ( 2 )
Substitution Method
Substitute ( 1 ) in ( 2 ) :
[tex]4x - 2 = -2x + 10\\\\4x + 2x = 10 + 2\\\\6x = 12\\\\x = 2[/tex]
Now substitute x in ( 2 ):
[tex]y = -2x + 10\\\\y = -2 ( 2 ) + 10\\\\y = - 4 + 10 \\\\y = 6[/tex]
Yes i give brainliest
Answers
It can give some balls more chance to be picked, making it unfair
Hello, I need help with this math question please
Answers
Option B:- x = -3/2 or x = 2