The correct next step Amy could take is to factor (x^2 - 16) on the left side of the equation to yield (x + 4)(x – 4)(x + 2) = 0.
The equation is given as:
[tex]\mathbf{(x^2 - 16)(x + 2) = 0}[/tex]
The possible next steps are:
1. Expand the equation as follows
[tex]\mathbf{x^3+2x^2-16x-32 = 0}[/tex]
2. Express x^2 -16 as a difference of two squares as follows
[tex]\mathbf{(x + 4)(x- 4)(x + 2) = 0}[/tex]
However, the correct step in this case is to factor x^2 - 16 as a difference of two squares to give [tex]\mathbf{(x + 4)(x- 4)(x + 2) = 0}[/tex]
This is so, because the question says Amy is trying to solve for variable x.
This step will ensure that she gets the possible values of x, unlike expanding the whole equation .
Hence, the correct next step is [tex]\mathbf{(x + 4)(x- 4)(x + 2) = 0}[/tex]
Read more about equations at:
https://brainly.com/question/7674413
Find the equation of a line parallel to line y=6 that passes through the point (-2,-1)
Answer:
y=-1
Step-by-step explanation:
yeah-ya...... right?
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.62 and a standard deviation of 0.4. Using the empirical rule, what percentage of the students have grade point averages that are no more than 1.82? Please do not round your answer.
Answer:
The percentage of the students who have grade point averages that are no more than 1.82 is 2.5%
Step-by-step explanation:
The empirical rule states that for a normal distribution, 68% of the distribution are within one standard deviation from the mean, 95% are within two standard deviations from the mean and 99.7% are within three standard deviations from the mean.
Given that:
Mean (μ) = 2.62, Standard deviation (σ) = 0.4
68% are within one standard deviation = μ ± σ = 2.62 ± 0.4 = (2.22, 3.02)
95% are within two standard deviations = μ ± 2σ = 2.62 ± 2(0.4) = (1.82, 3.42)
The percentage of the students have grade point averages that are no more than 1.82 is 100% - [95% + (100% - 95%)/2] = 100% - 97.5% = 2.5%
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
(ASAP)
Answer:
85°+8x-1+11x+1=180°(being sum of all angle in a
triangle)
or,85°-1+1+8x+11x=180°
or,84+1+19x=180°
or,85+19x=180°
or,19x=180-85
or,19x=95
or,x=95/19
x=5
What is the distance between the following points
answer choices
A 85
B 90
C 11
D 12
Answer:
[tex]\sqrt{85}[/tex]
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2-y_{1})^2 } }[/tex]
with (x₁, y₁ ) = (- 5, 8 ) and (x₂, y₂ ) = (4, 6 )
d = [tex]\sqrt{4-(-5))^2+(6-8)^2}[/tex]
= [tex]\sqrt{(4+5)^2+(-2)^2}[/tex]
= [tex]\sqrt{9^2+4}[/tex]
= [tex]\sqrt{81+4}[/tex]
= [tex]\sqrt{85}[/tex]
help on both
please !!!
don't give me irrelevant answers pls
Answer:
< 1 is 85
X= 50
Step-by-step explanation:
ok the first question has 2 angles given 60 and 65
consider this one shows a 90 degree angle and the other does not. so 60 plus 90 equals 150 degrees
the u must say 65 plus x (x being angle 1) must also equal 150
subtract 65 from 150 and you get 85
now the second problem lets use the
Exterior Angle Theorem
The measure of an exterior angle (our w) of a triangle equals to the sum of the measures of the two remote interior angles (our x and y) of the triangle.
using this we know the 40 degree angle and 2x + 20 equals 3x plus 10
so we subtract 10 degrees from both sides and get
2x plus 10 plus 40 equals 3x now this means x equals 10 plus 40 which is 50
The length of a rectangle is 5cm more than its breadth . if the perimeter of the rectangle is 40cm , find the dimension of the rectangle .
Don't give unwanted ans to get the points
no spams and plagiarism ( kindly stay out of the question if you don't know the ans )
well explained ans needed
thx !!
perimeter of the rectangle = 2 ( l + b )
2 ( x + x + 5 ) cm 2 ( 2x + 5') cm ( 4x + 10 ) cm
4x + 10 = 40
4x = 40 10 ( transpose 10 to RHS )
x = 30/4 = 7.5 ( divide both sides by 4 )
lenght of the rectangle = x + 5 = 7.5 + 5 = 12.5 cm breadth of the rectangle = x = 7.5 cmATQ
[tex]\\ \sf\longmapsto 2(x+x+5)=40[/tex]
[tex]\\ \sf\longmapsto 2(2x+5)=40[/tex]
[tex]\\ \sf\longmapsto 2x+5=20[/tex]
[tex]\\ \sf\longmapsto 2x=15[/tex]
[tex]\\ \sf\longmapsto x=7.5[/tex]
Length=12.5cmBreadth=7.5cmyall i need help asap! its due in 1hr!!
Answer:
for number 6 2x
for number 7 8
Step-by-step explanation:
Answer:
6. 8x+3x-9x= 2x
7. 2x-3=13
or, 2x=13+3
or, 2x=16
or, x=16/2
Therefore, x=8
Lightning struck seven times in four minutes during a storm. On average, the next storm had lightning strikes two more times per minute than the first storm. How many times did lightning strike in six minutes of the second storm?
Answer: Lightning struck 22.5 times in 6 minutes, of the second storm.
First Storm
7/4= 1.75 strikes per minute
Second Storm
1.75+2=3.75
3.75*6=22.5 strikes in the second storm
Answer
so uh
Step-by-step explanation:
thats how to solve
Help me please I do not want a bot answering with a link
[tex]\text{Given that,}\\\\\text{First term,}~ a_1= -\dfrac 16\\\\\text{Common ratio,}~ r = 2 \\\\\text{nth term}~ a_n = a_1 r^{n -1} = -\dfrac 16 \left(2^{n-1}\right)[/tex]
Simplify the variable expression below as much as possible.
6x + 1 + 7- 3
Answer:
6X+5
Step-by-step explanation:
Answer:
6x+5
Step-by-step explanation:
6x+1+7-3
6x+(1+7)-3
6x+8-3
6x+5
Karen can type 40 words in 8 minutes. what is her rate in words per minute?
Answer:
5 words per minute
Step-by-step explanation:
To find her rate in words per minute simply divide the number of words she can type in 8 minutes (40) by 8.
40 / 8 = 5
Her rate is 5 words per minute
4) The yellow submarine was at sea level when the passengers boarded. The journey began with a descent of 40 meters. After examining the sea life, they rose 30 meters. Zach thought he saw an octopus, below. They dove again, a distance of 25 meters to watch the eight ‘legged’ sea creature.
a) Write an expression to describe the journey of the yellow submarine. _________________________________
b) At what depth did they stop to look at the octopus? ______________________
a) Write an expression to describe the journey of the yellow submarine.
-> ((0 - 40) + 30) - 25
[] Sea level = 0
[] The descend 40 meters = -40
[] After examining the sea, they rose 30 meters = + 30
[] They dove 25 meters to look at an octopus = -25
b) At what depth did they stop to look at the octopus?
-> -35 meters
[] The started at 0 (0), descended 40 (-40), rose 30 (-10), and then sove 25 (-35) to see the octopus
[] Another way to think of this is to simplify our previous expression completely
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Can someone help me with this, and if you can Explain it.
Answer:
20
Step-by-step explanation:
Since C is the midpoint of BD, BC must be equal to CD. Therefore, we can set the equation:
x+4=3x-10
Solve:
14=2x
x=7
Then we find AC, which is:
2x-5+x+4 = 3x-1
We can plug x in to get:
3*(7)-1=20
Given that f(x) = x² + 5x, evaluate f(-2).If g(x)=2x + 1, find g(a + h)- g(a).
[tex]\\ \sf\longmapsto f(x)=x^2+5x[/tex]
[tex]\\ \sf\longmapsto f(-2)=(-2)^2+5(-2)[/tex]
[tex]\\ \sf\longmapsto f(-2)=4-10[/tex]
[tex]\\ \sf\longmapsto f(-2)=-6[/tex]
.#2
[tex]\\ \sf\longmapsto g(x)=2x+1[/tex]
[tex]\\ \sf\longmapsto g(a)=2a+1[/tex]
[tex]\\ \sf\longmapsto g(a+h)=2(a+h)+1[/tex]
.Now
[tex]\\ \sf\longmapsto g(a+h)-g(a)[/tex]
[tex]\\ \sf\longmapsto 2(a+h)+1-2a-1[/tex]
[tex]\\ \sf\longmapsto 2a+2h+1-2a-1[/tex]
[tex]\\ \sf\longmapsto 2h[/tex]
Plzzzzz help plzzzzz help meeee
PLEASE HELP!! BRAINLIEST ASAP
(i put 4 for the last one cause thats the answer, but please, all im asking is for the correct answers for 2 blanks!!)
Answer:
12+16 = 2(10+4)
Step-by-step explanation:
12+16 = 2(10+4)
CAN SOMEBODY PLEASE HELP ME
Answer:
x and y are both equal to 57.5°
Step-by-step explanation:
180° - 65° = 115°
115 ÷ 2 = 57.5
Here ya go bestie. Your favorite :D
Answer:
the answer is d
Step-by-step explanation:
What is the intersection of plane AEH and plane EGH?
Answer:
E
Step-by-step explanation:
Hope this helped
in the diagram below, what is the value of X?
Answer:
x=15
Step-by-step explanation:
Well we start with the fundamentals of a triangle we know that all the angles of a triangle add up to 180*, so you can start by adding 55* and 65* and end up with 120* then you can add 30* and get 150* then you can take the total of 150* and subtract it from 180* to get 30 now you take that 30 and divide it by 2 and get 15* for the final angle of the triangle.
Ain.
1.5 ft.
0.5 it.
What is the surface area of the figure in square inches help
[tex]\\ \sf\Rrightarrow LSA=2(h)(l+b)[/tex]
[tex]\\ \sf\Rrightarrow LSA=2(18)(6+4)[/tex]
[tex]\\ \sf\Rrightarrow LSA=36(10)[/tex]
[tex]\\ \sf\Rrightarrow LSA=360in^2[/tex]
Prove that APQR ~ ASTU
Thats how i do it ....i dont know about others
Explain WHAT WOULD HAPPEN TO motion IF friction DID NDT EXIST.
Answer:
If friction did not exist, it would be hard for us to slow down in running, or putting breaks on a car, and more!
If friction did not exist, your car will slide down the road even if you try your best to put the brakes on a car. Friction is a very important force to slow down things that are moving very fast
Step-by-step explanation:
Hoped this helped.
[tex]GeniusUser[/tex]
One angle of an isosceles triangle measures 34º. Which other angles could be in that
isosceles triangle?
Answer:
112º and 73º
Step-by-step explanation:
34º could be base angle
Base angles are equivalent
Vertical angle would be = 180 - 34 - 34
Vertical angle = 112º
34º could be vertical angle
Base angles are equivalent
2x = 180 - 34
Base angle = 73º
Distance between two points (−5,−5) and (-9, -2)
Answer: 5
Step-by-step explanation: d = √(x^²-x^₁)^2+(y^²-y^₁)^2 d = √ (-9--5)^2+ (-2 - -5)^2 d = √(-4)^2 + (3)^2 d = √16 + 9 d = √25 d = 5
May I please receive help?
no
.........................................................
The length of a rectangle is equal to three times the width.Find the dimensions of the rectangle if the perimeter is 86 centimeters.
Answer:
length: 32.25 cmwidth: 10.75 cmStep-by-step explanation:
Let w represent the width. Then 3w represents the length. The perimeter formula is ...
P = 2(L +W)
P = 2(3w +w)
86 cm = 8w
w = 10.75 cm
3w = 32.25 cm
The rectangle is 32.25 cm long and 10.75 cm wide.
help me please it’s urgent how do i solve this I was absent
Hi!
I can help you, no worries!
Your answer is y = -4/5x - 3
To solve this is much easier than you think. To "solve for y" we just have to get y on one side of the equal sign all by itself. We can see that it's "1 + y" on the left instead of just the y.
To get y by itself, we just subtract "1" from both sides.
1 + y = -4/5x - 2
-1 -1
y = -4/5x - 3
If you don't know why we have to subtract from both sides, think of it like this (it's how I like to think of it).
Each side of the equal sign is a twin. They are equal to eachother. If you change something about one twin, such as changing their hair color (or adding a number to one side of the equal sign), you have to do it to both in order for them to be the same. Right?
Hope this helps! Have a great day! :D
y=2x + 4
y = 2(x + 2)
what is x
Answer:
I believe 1.) is x=y-4/2 and 2.) x=y-4/2 as well
Step-by-step explanation:
1.)
y=2x+4
-subtract 4 on both sides-
y-4=2x
-divide 2 on both sides-
x=y-4/2
2.)
y=2(x+2)
-distribute the 2-
y=2x+2
-subtract 2 on both sides-
y-2=2x
-divide 2 on both sides-
x=y-2/4
I dont know exactly if this is correct, but i hope it helps! :)
Andrew measured a line to be 12.2 inches long. If the actual length of the line is 12.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
The percent error of the measurement, to the nearest tenth of a percent is 3.9%
Given:
Length measured = 12.2 inches
Actual length = 12.7 inches
Error = Actual length - Length measured
= 12.7 - 12.2
= 0.5
Percentage error = error / actual value × 100
= 0.5/12.7 × 100
= 0.039370078740157 × 100
= 3.937%
Approximately,
Percentage error = 3.9%
Therefore, the percent error of the measurement, to the nearest tenth of a percent is 3.9%
Learn more about percentage error:
https://brainly.com/question/5493941