Answers
Why do this?
Because we want to be able to factor the left hand side into the form p^2, where p is some algebraic expression. This will help us ultimately solve for x.
Currently, the left hand side is x^2+16x which does factor to x(x+16), but that isn't in the form p^2. We want something like (x+1)^2 or (x+2)^2. The general form is (x+k)^2 where k is some fixed constant.
Let's expand out (x+k)^2 using the FOIL rule and we get x^2+2kx+k^2
The x coefficient is 2k. If we cut that in half, we get k. Squaring that result leads to k^2.
So we have this order: 2k cuts in half to k then square it to get k^2
For x^2+16x, we have the x coefficient as 16. That cuts in half to 8, then that squares to 64. We add 64 to both sides
Note how
x^2+16x = 9
x^2 + 16x + 64 = 9+64
(x+8)^2 = 73
From here, we apply the square root to both sides and then subtract 8 from both sides to fully isolate x. You would get two different solutions.
-------------
I recommend you use the FOIL rule to confirm that (x+8)^2 expands out to x^2+16x+64, to help check your work.
Related Questions
PLS HELP ME ASAP! I NEED IT
Answers
Answer:
Step-by-step explanation:
If the equation of a function is y=x2-5, what is the output when the input is -1? А) -6 B) -5 O -4 D) - 3
Answers
Answer:
- 4
Step-by-step explanation:
If the equation of a function is y=x2-5, the output when the input is -1 is
y = (-1)² - 5
= - 4
Hope it will help :)
Evaluate the expression 2(x-5) - 3(x-6)
Answers
Answer:
−x+8
Step-by-step explanation:
Hope this helps :)
Explanation
Question 5 (1 point)
What is a unique characteristic of a set of data that is distributed normally?
A. the mean is greater than the median
B. the mean is less than the median
C. the mean is the same as the median
D. the data set does not have a median
Answers
Answer:
C
Step-by-step explanation:
Normal distribution has a unique characteristic of having equal mean and median values. If mean was higher than median, then the distribution would be positively skewed. Mean lower than median would appear in distributions negatively skewed. Each data set has a median value.
A right cubic prism has edges of 2 1/2 inches. How
many cubes with side lengths of inches would
be needed to fill the prism?
A. 125 cubes
B. 37.5 cubes
C. 18.75 cubes
D. 15.625 cubes
Answers
Answer:
Option D, the volume is 15.625 cubes
Step-by-step explanation:
For a cube of side length L, the volume is:
V = L^3
for the smaller cubes, we know that each one has a side length of 1 in, then the volume of each small cube is:
v = (1in)^3 = 1 in^3
Then:
1 in^3 is equivalent to one small cube
Here we know that the side length of our cube is (2 + 1/2) in
Then the volume of this cube will be:
V = [ (2 + 1/2) in]^3
To simplify the calculation, we can write:
2 + 1/2 = 4/2 + 1/2 = 5/2
Then:
V = ( 5/2 in)^3 = (5^3)/(2^3) in^3 = 125/8 in^3 = 15.626 in^3
This means that 15.625 small cubes will fill the prism.
So the correct option is D.
40 POINTS HELP ME PLEASE!
Select the expressions that are polynomials.
Question 3 options:
x^2/7+1
x^−3+4x
−2x^3+2x+4
6x−x^3+4x^2
Answers
Answer:
the ones are options 2 and 3
Answer:
Lol Hi Alycia! The answer to your question is A, C and D
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
3. Which rule best describes the last three numbers shown in the pattern? 10, 12, 9, 11
Answers
Answer:
it goes by 2 two times then subtracts 3 then again
Step-by-step explanation:
10,12,9,11,8,10,7
What is the diagonal length?
Answers
Answer: 15
Step-by-step explanation:
do sqrt 12^2+9^2
= sqrt 144+81 = sqrt 225 = 15
Which model below represents a fraction that is equivalent to
4
8
Answers
Answer:
4/8 is one half
Step-by-step explanation:
A mailing supply company produces yellow mailing envelopes. The envelopes come in
a variety of sizes, but the length is always 4 centimeters more than double the width.
Write an equation to find the dimensions of an envelope that has a perimeter of 26
centimeters.
Answers
Answer:
Step-by-step explanation:
L=2W+4
P=2(L+W), using L from above makes this
P=2(2W+4+W)
P=2(3W+4)
P=6W+8
6W=P-8
W=(P-8)/6, since we are told P=26
W=(26-8)/6
W=18/6
W=3 cm, and since L=2W+4
L=2(3)+4
L=6+4
L=10 cm
So the dimensions of the envelope with a perimeter of 26cm is 3cm by 10cm
I need to show work but I can’t figure this problem out
Answers
Answer:
47, 68
Step-by-step explanation:
x+(x+21)=115
2x+21=115
2x=94
x=47
7) Original price: ?
Discount: 25%
Sale price:
$28
Answers
Answer:
Step-by-step explanation:
let be x the price before the discount
original price= 28/(1-0.25)=28/0.75=37.33
original price=37.33
Answer:
37.3
Step-by-step explanation:
The original price = x which represents 100% of the price. So we subtract 100%-25, which is 100-25=75 or 75%(0.75)
So, $28 is 75% off the original price.
28 divided by .75 = 37.3
Then, 37.3 would be the original price.
This table shows the number of marbles in a bag by color. If one marble is randomly selected from the bag, what is the
probability that it will be a blue or a red marble?
Color
Number
Blue
7
Green
10
Yellow
14
Red
19
24%
B 26%
c) 3896
D 5296
Answers
Answer:
p(blue or red) = 0.52 = 52%
Step-by-step explanation:
total number of marbles = 7 + 10 + 14 + 19 = 50
number of blue marbles = 7
number of red marbles = 19
number of blue or red marbles = 7 + 19 = 26
p(blue or red) = 26/50
p(blue or red) = 0.52 = 52%
Answer: 52%
Step-by-step explanation:
PLEASE HELP!!!! I need the answer quick!!!! I’ll give you 20 points
-3b+12=36
Answers
Answer:
b= -8
Step-by-step explanation:
(-7, y) and (-2,-4); m = -6/5 find the slope
Answers
Answer:
y = 2
Step-by-step explanation:
Use the slope formula so y2-y1/x2-x1 = -6/5
so -4 - y / -2 + 7 = -6/5 so y has to be 2 so that -4-2=-6
How do i solve for x in geometry
Answers
Answer: Find the value of X in triangles by subtracting known angle measurements from 180 degrees. Since the value of all angles within a triangle must equal 180 degrees, if you know at least two angles, you can subtract them from 180 to find the missing third angle
Step-by-step explanation:
Simplify -18b^-4 Pliz help, I don’t understand math, especially Algebra II
Answers
Answer:
B. -[tex]\frac{18}{b^4}[/tex]
Step-by-step explanation:
(✿◡‿◡) <-- she wants Brainliest
Answer:
b
Step-by-step explanation:
14 = p + 19 I need some help with this one?
Answers
Answer:
p=-5
Step-by-step explanation:
have a lovely day!!
That is bc if +19 has a + u make it - so then u subtract.
So 19-14=15 to find the p.
P=15
If the 19 was -19 instead of +19 then u would do.
19+14= 43. Which would then be.
P=43.
Hope this helps!
Given a standard form linear equation 33 - 4y = 12
Answers
Answer:
5 1/4
Step-by-step explanation:
Answer:
y = 5 1/4.
Step-by-step explanation:
33 - 4y = 12
33 = 4y + 12
33 - 12 = 4y
4y = 21
y = 21/4
y = 5 1/4.
Math is so hard for school
Answers
Answer:
yeah ikr
Step-by-step explanation:
Answer: What’s the math problem
Step-by-step explanation:
In triangle UVW, u = 20, v = 47. and w = 60. To find m∠ W,
which law would you use? Laws of Sines or Laws of Cosines? and why?
Answers
Answer:
We would use the Law of Cosines to solve the question.
m∠ W = 121.8°
Step-by-step explanation:
In triangle UVW, u = 20, v = 47. and w = 60. To find m∠ W,
which law would you use?
The Law we would use to find find m∠W is the Law of cosines, this is because in the question above we are given 3 known sides of a triangle and we are asked to find an unknown angle.
Law of cosines when we are to find an unknown angle =
m∠ W = arc cos [u² + v² - w²/ 2uv]
m∠ W = arccos [ 20² + 47² - 60²/ 2 × 20 × 47]
m∠ W = 121.81159°
Approximately = 121.8°
14. Given that 2a = 8b, find the ratio of a
to b in simplest form.
Answers
Answer:
1;4
Step-by-step explanation:
2a=8b/2
1a=4b
you cant simplify any more so this is the answer
HELP MEEEEEE PLSSSSS
Answers
Answer:
64
Step-by-step explanation:
If you measure the cubes inside for the length, width and height, you get:
Length - 5 cubes
Width -5 cubes
Height - 3 cubes
The volume of the prism is 5 * 5 * 3 = 75. This means the prism can hold a total of 75 cubes
The amount of cubes already in there is 11
so 75 - 11= 64
belia borrowed 4000 AED for 3 years with an interest rate of 1.5% per year. How much interest will she pay at the end of 3 years? (Show each step of your calculation)
Answers
Answer:
4000(1.5/100)×3
=180
180+4000
=4180
What is ?1/3 X 15 I wasn’t paying attention
Answers
1/3 x 15/1 = 15/3 = 5/1 = 5
Answer
3
Step-by-step explanation:
1/3 times 15 ? is what i belive you are asking?
therefore it is three becasue it you multipy 15 by 1 then divide it by 5, 15 divide 5 is three
This partial circle has a radius of 11 inches.
What is the area of this figure?
Use 3.14 Pi.
A circle with a quadrant missing. The length of one side of the quadrant is 11 inches.
Answers
Answer:
284.96
Step-by-step explanation:
Which of the following properties is always true for a parallelogram?
Answers
Answer:
c
Step-by-step explanation:
backtracking homework
Answers
Answer:
This is your answer ☺️☺️☺️. If I'm right so,
Please mark me as brainliest. thanks!!!
Please help me please please ASAP ASAP please ASAP
Answers
Answer:
5Step-by-step explanation:3y - 1 = 28 / 2
3y - 1 = 14
3y = 14 + 1
3y = 15
y = 15 / 3
y = 5
Hope that helps!
................................
PLS HELP 222222222222222222
Answers
Answer:
g(x) = [tex]2^{x}[/tex] + 3
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here the shift is 3 units up, then
g(x) = [tex]2^{x}[/tex] + 3