(x + 3) (x² - 2x - 6)
______________
x
Answer: (x^4 + x^3 - 12x^2 - 9 ) / x^2
Step-by-step explanation:
x^2 - 9/x^2 +x - 12
(x^2 - 9 + x^3 - 12x^2)/x^2
If f(x) = (x^2-36)/(x+6) is continuous at x = -6, find f(-6) a)-12 b)12 c)6 d)-6
Answer:
A
Step-by-step explanation:
[tex]f(x)=\dfrac{x^2-36}{x+6}= \\\\\\\dfrac{(x-6)(x+6)}{x+6}= \\\\\\(x-6) \\\\\\f(-6)=((-6)-6)=-12[/tex]
Therefore, the correct answer is choice A. Hope this helps!
Answer:
=-12
Step-by-step explanation:
f(x) = (x^2-36)/(x+6)
Factor the numerator. The numerator is the difference of squares
(a^2 -b^2) = (a-b)(a+b)
f(x) = (x-6)(x+6)/(x+6)
Cancel the like terms
f(x) = x-6
f(-6) = -6-6
= -12
The graph illustrates a reflection of JKM. What is the line of reflection?
A. x-axis
B. y-axis
C. y=x
D. y=2x
Answer:
A. x-axis
Step-by-step explanation:
The answer is the x-axis because the trangle is an exact reflection flipped across the x-axis. We also know this was flipped across the x-axis because the x values do not change, but the y values are the exact opposite. For example, point M has coordinates (1,-1) while point M' has coordinates (1,1). This is the same for points K, K', J, and J'.
Hope this helps ;)
What are the next three numbers in this pattern?
11, 22, 12, 23,...
A 13, 24, 15
B 13, 24, 14
C 13, 23, 14
D 32, 43, 33
Answer:
B
Step-by-step explanation:
because first it is 11, 12, after it is 13, and 14
: for 22, 23 and after 24
Answer:
B
Step-by-step explanation:
What is the surface area of a cylinder with base redius 2 and height 9
Answer:
[tex]138.23units^2[/tex]
Step-by-step explanation:
[tex]A=2\pi rh+2\pi r^2=2*\pi *2*9+2*\pi *2^2=138.23008\\138.23units^2[/tex]
Answer:
44pi
Step-by-step explanation:
Look at the attachment
Find an equation of the line containing the given pair of points (4,1) and (12,7)
Answer:
Y = 3/4 X -2
Step-by-step explanation:
Just apply the equation of a straight line (Y=mX+C), remembering that m represents the gradient of the line. This can be found by dividing the change in the y-axis by the change in the x-axis. Then substitute a set of coordinates with your obtained gradient into Y=mX+C to obtain C, i.e. the y-intercept.
Cindy dissolves 19 1 /4 grams of drink mix in 1 3 /4 ounces of water. What is the unit rate in grams of drink mix per ounce of water?
A) 11
B) 15 4/5
C) 17 1/2
D) 21
Answer:
Unit rate in grams of drink mix per ounce of water = 11 gram / ounces
Step-by-step explanation:
Given:
Amount of drink mix = 19 (1 /4) gram = 19.25 gram
Amount of water = 1 (3 /4) ounces = 1.75 ounces
Find:
Unit rate in grams of drink mix per ounce of water = ?
Computation:
⇒ Unit rate in grams of drink mix per ounce of water = Amount of drink mix / Amount of water
⇒ Unit rate in grams of drink mix per ounce of water = 19.25 / 1.75
⇒ Unit rate in grams of drink mix per ounce of water = 11 gram / ounces
PLEASE HELP! ITS DUE TODAY! PLEASEEEE
Answer:
if i'm not mistaken its variation
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
80 degrees
Step-by-step explanation:
180-100=80 degrees
Answer:
[tex]80 \: \: degrees[/tex]
Step-by-step explanation:
Angels in a straight line = 180°
Let the ACE angle be x
Given that
ACD angle =100°
[tex]100 + x = 180 \\ x = 180 - 100 \\ x = 80 \: degrees[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
This one has really stumped me, if you could also explain how you got the answer (as well as the answer) that would be amazing! Thank you!
Answer:
98092718
Step-by-step explanation:
lets convert cubic yards to cubic meters
1 cubic meter=1.30790290586 cubic yard
there is an estimated amount of about 750,000,000*1.30790290586 cubic yards
750,000,000*1.30790290586= 980927179.395 cubic yards
now each truck can hold 10 cubic yards, so, divide 980927179.395 by 10
980927179.395/10=98092717.9395
round to the greatest whole number (there can't be any sediment left on Mt. Helens)
98092717.9395 to 98092718
we need 98092718 dump trucks to scoop it all up
What is the r-value of the following data, to three decimal places?
X, 4 5 8 9 13
Y, 26, 11, 13, 2, 1
O A. -0.686
OB. 0.828
O C. 0.686
O D. -0.828
Answer:
The correct option is D
D) -0.828
Step-by-step explanation:
Step 1:First find the mean of both x data set and y data set
x(mean) = 39/5 = 8
y(mean) = 53/5 = 11
Step 2:(find the values given in table attached below. The formation of table is step 2)
Step 3:Substitute ∑x, ∑y, ∑xy, ∑x² & ∑y² value in the below correlation coefficient formula
r = ∑XY/(√∑X². ∑Y2²
∑XY = -119.4,∑X² = 50.8, ∑Y² = 409.2
r = -119.4/(√50.8 x 409.2)
Simplify above expression
r = -119.4/√20787.36
r = -119.4/144.1782
r = -0.8281
Thus -0.8281 is the correlation between x = {4, 5, 8, 9 and 13} & y = {26, 11, 13, 2 and 1}
Ari's teacher says he may have his report grade based on either the mean or the median of his last six test scores
88%, 73%, 97%, 76%, 90%, 80%
Which measure of center would best represent Ari's grade?
Answer:
The mean
Step-by-step explanation:
Answer:
the answer is option a) the mean
Step-by-step explanation:
what is the value of a in simplest form?
Answer:
[tex]x^4[/tex]
Step-by-step explanation:
[tex]\frac{x^{3} }{\sqrt[6]{x}}[/tex]
[tex]((\sqrt{x})^{2})(x^{3} )[/tex]
[tex](x)(x^3)\\x^4[/tex]
May invested $500 at 8% p.a. for 2 years. How much simple interest did she earn?
Answer:
The simple interest she earns is $80
p=500
r=8
t=2
Now,
SI=p×t×r/100
SI=500×2×8/100
SI=80
Answer:
[tex]\fbox{\begin{minipage}{5.5em}80 dollars\end{minipage}}[/tex]
Step-by-step explanation:
Given:
May invested $500 at 8% p.a. for 2 years.
Solve for:
The simple interest she earned.
Step 1: Define the formula to calculated the simple interest
Interest = Principal x Rate x Year
Step 2: Perform the calculation
With Principal = 500$, Rate = 8% = 8/100 = 0.08, and Year = 2
Interest = 500 x 0.08 x 2 = 80$
Hope this helps!
:)
Can anyone help me with these two questions?
Step-by-step explanation:
Problem 5:
Since parallelogram ABCD has to be a parallelogram, than that means that all opposite sides have to be congruent on it. One side has to be equivalent to the opposite side, so the equation on that line is equivalent to the equation on the opposite side, as well. EXAMPLE: 5x = 3x+10, which turns to 2x = 10, which turns to x = 5.
Problem 6:
Just like Problem 5, the opposite lines in the middle of the rhombus have to be congruent to one another since the given shape must be a parallelogram. So 4x = 8, and that turns to x = 2. I solved all of these problems using multi-step equations.
Hope this helped!
match the words that have the same roots. Every word listed has a matching word.
Answer:
Biology- Biography, Mortal-Mortify, Percent-Century, Revise-Adviser, dialogue-monologue.
Step-by-step explanation:
Bio
Mor or Mort
Cent
Vise
Logue
Are all the different latin roots present here.
Answer:
1) biology- biography
2) revise-adviser
3) mortal-mortify
4) percent- century
5) dialogue-monologue.
Step-by-step explanation:
1) Bio-Bio
2) vise-viser
3) mor-mor
4) cen-cen
5) logue-logue
are all matching words.
How many liters of water should be added to 18 liters of a 14% bleach solution so that the resulting solution contains only 10% bleach?
Answer:
7.2 liters of water must be added to create a 10% bleach solution.
Step-by-step explanation:
18 liters times 14%, or 18 * 0.14, is 2.52. If we want bleach to be 10% of our solution, we can just multiply this number by 10 because 10% times 10 is 100%!! 2.52 * 10 is 25.2. To find how many liters of water you need to add you just find the difference. To do this you subtract your original from your new solution, so 25.2 - 18 = 7.2 liters of water need to be added.
Answer:
7.2 liters of water must be added to create a 10% bleach solution. :)
Step-by-step explanation:
Which rate of change is bigger 1/4 or 3/4
Answer:
3/4
Step-by-step explanation:
The larger the number the greater the rate of change
3/4 > 1/4 so 3/4 has a greater rate of change
_______________________________
Hey!!
3/4 is bigger than 1/4
3/4 >1/4
Hope it helps...
Good luck on your assignment
_____________________________
Help ASAp will give brainliest!!!!!!!
Answer:
x = 51
Step-by-step explanation:
2x + 4 + x + 23 = 180
3x + 27 = 180
3x = 153
x = 51
Answer:
Step-by-step explanation:
Because the lines are intersecting they are equal to 180. Therefore...
(x+23) + (2x+4) = 180
3x + 27 = 180
3x = 153
x = 51
What is the solution to the system of linear equations?
2x + y = 7
x - 2y = 16
A)(4,-1)
B)(-1,9)
C)(6,-5)
D)(-5,6)
Answer:
(6, -5) (Answer C)
Step-by-step explanation:
Multiply the first equation by 2. We get the following equivalent system:
4x + 2y = 14
x - 2y = 16
------------------
5x = 30, or x = 6.
Substituting 6 for x in the second equation, we get
6 - 2y = 16, or
- 2y = 10, so that y = -5
and the solution is (6, -5) (Answer C)
Plz help ! Analyze the work used to write an equivalent equation for y. 3y = 36 – 5x 1. Divide both sides by 3: StartFraction 3 y Over 3 EndFraction = StartFraction 36 over 3 EndFraction minus 5 x. y = 12 minus 5 x. What can you conclude about the work? The work was completed correctly. Both sides needed to be multiplied by 3, rather than divided by 3. When dividing 36 by 3, the answer should have been 1/12, not 12. Both terms on the right side need to be divided by 3, not just the 36.
Answer:
its d
Step-by-step explanation:
i got it right on edge
Answer:
D) Both terms on the right side need to be divided by 3, not just the 36.
Step-by-step explanation:
got it right on edge2020
How does the value represented by the digit 4 in R compare to the value represented by the digit 4 in T?
R = 4,569
T = 3,490
Answer:
The digit 4 in R has a value of 4,000; the digit 4 in T has a value of 400.
Step-by-step explanation:
In R, there are 4 place values. Going from right to left, we have ones, tens, hundreds and thousands. The 4 is in the thousands place, so its value is 4,000. In T, there are also 4 place values, but the 4 is in the hundreds place, so its value is 400.
Can I have some help on this question?
Answer:
The definition of a parallelogram states that opposite sides are parallel, so try finding the slopes of DC and AB, If they are equal that means, the sides are parallel. Do the same for AD and BC.
7
jet flies over the Air Force Base at 10:20
am At 10:32 am, the plane passes over the
Ilary Base Station, 120 miles away. How fast
is the aircraft traveling?
Answer:
The speed of aircraft is 600 mph.
Step-by-step explanation:
Given distance = 120 miles
Time for which jet flew : from 10:20 AM to 10:32 AM
Total duration for which jet flew = 10:32 - 10:20 = 12 minutes
(from 10 hours 32 minutes and 10 hours 20 minutes
10 hours gets cancelled, 32 minutes - 20 minutes is 12 minutes)
here time is in minutes, we have to convert it in hours
we know
60 minutes = 1 hour
1 minutes = 1/60 hour
multiplying LHS and RHS by 12
1*12 minutes = (1/60) *12hour
12 minutes = (1/60) *12hour
12 minutes = 1/5 hours
We know
speed = distance / time
distance = 120 miles
time = 1/5 hours
speed = 120 miles/ (1/5 hours)
speed = 120 * 5 mph = 600 mph
The speed of aircraft is 600 mph.
Somebody please help me thank
Answer:
Step-by-step explanation:
[tex]5.003*10^{9}=5,003,000,000[/tex]
5.003* 10⁹ < 5,083,000,000
The box plots show Devonte’s scores in Spanish and in French. Spanish 2 box plots. The number line goes from 50 to 100. For Spanish, the whiskers range from 55 to 95, and the box ranges from 60 to 85. A line divides the box at 70. For French, the whiskers range from 55 to 90, and the box ranges from 65 to 80. A line divides the box at 75. French Devonte inferred that his French scores have less variability than his Spanish scores. Which explains whether Devonte’s inference is correct? Devonte is correct because the range is greater for French. Devonte is correct because the interquartile range is less for French. Devonte is not correct because his highest grade is in Spanish. Devonte is not correct because the interquartile range is less for Spanish.
Answer:it's D i took the test.
Answer:
B
Step-by-step explanation:
i took the test
Write the equation of the line parallel to y = (3/5)x -9 and goes through the point
(-3, 8).
y + 3 = (-3/5)(x +5)
y + 8 = (5/3)(x - 3)
y - 3 = (3/5)(X + 8)
y - 8 = (3/5)(x + 3)
Answer:
y - 8 = (3/5)(x + 3)
Step-by-step explanation:
4 + 5 /3 squared - 2 squared
Answer:
[tex]\frac{25}{9}[/tex]
Step-by-step explanation:
[tex]4+\frac{5}{3} ^2-2^2=\frac{5}{3}^2=\frac{25}{9}[/tex]
This list shows the number of years that 99 U.S. Supreme Court Justices served. 0 4 6 8 13 15 18 22 26 31 1 4 6 9 13 15 19 23 26 32 1 4 6 9 14 16 19 23 27 33 2 5 7 9 14 16 20 23 28 33 2 5 7 10 14 16 20 23 28 33 2 5 7 10 14 16 20 23 28 34 3 5 7 10 15 17 20 24 29 34 3 5 8 11 15 17 20 24 30 34 3 5 8 13 15 18 21 26 30 36 4 5 8 13 15 18 21 26 31 What number of years is the mode the Supreme Court justices served? a. 20 c. 23 b. 15 d. 5
Answer:
5
Step-by-step explanation:
Answer:
The answer is: D.)5
Step-by-step explanation:
I got it right on edge2021
How many solutions does the equation 3x-10(x+2)=13-7x
Answer:
No solution
Step-by-step explanation:
1. Multiply the parenthesis by -10
2. Collect like terms
3. Cancel equal terms
4. You're left with -20=13, which is false. There is no solution.
Write an equation in slope-intercept form for the line.
slope = 0, y-intercept = 3
Answer: y = 0x+3 or y = 3
The slope is 0 and the y intercept is 3. So m = 0 and b = 3.
Plug those into y = mx+b to get y = 0x+3, and that simplifies to y = 3.
This graphs out a horizontal line that passes through the two points (0,3) and (1,3).
