Factorise
a² - 144
Please factorise this
Answers
Answer:
a² ÷a = a
144 ÷ 2= 12
(a - 12) (a + 12)
Answer:
[tex]\bf\pink{(a-12)\times (a+12)}[/tex]Step-by-step explanation:
Given Expression :-[tex]\bf\blue{a^{2} - 144}[/tex]Steps to factorise :-[tex]\longrightarrow\:\:\bf\red{a^{2} - 144}[/tex]
Write the number in the exponential form with an exponent of 2[tex]\longrightarrow\:\:\bf\orange{a^{2}-12^{2}}[/tex]
Using a²-b² = (a-b)(a+b), factor the expression.[tex]\longrightarrow\:\:\bf\purple{(a-12)\times (a+12)}[/tex]
(Refer the attachment for graph representation)
Graph Details :-[tex]\bigstar\:\:\bf{y=a^{2}-144}[/tex]
[tex]\rm{ Roots \:\:(-12,\:0)\:(12,\:0)}[/tex][tex]\rm{Domain \:\:a \in {\mathbb{R}}}[/tex][tex]\rm{Range \:\:y\in \bigg( -144,\:+\infty \bigg) }[/tex][tex]\rm{Minimum \:\: (0,\:-144)}[/tex][tex]\rm{Vertical\: Intercept\:\:(0,\:-144)}[/tex]
Related Questions
Please hurry!! Steven and Dan like to play a lot of video games. On Sunday, Dan played 4 fewer than twice the number of hours that Steven played. They played a total of 17 hours on Sunday. Which system of equations models this situation if Steven played s hours and Dan played d hours?
A) d=4-2s s+d=17
B) s=2d-4 s=17-d
C)d=2s-4 s+d=17
D)s=4-2d d=17-s
Answers
Answer
Step-by-step explanation:
Answer:i think A or C
Step-by-step explanation:
i'm not sure about my answer but i chose C and i don't know if i got it wrong or right but its either both of them i hope this helps.
How much interest will you pay on a loan of $2,620, with a 3% interest rate, paid over 5
years?
Answers
Answer:
You'll pay $3013
Step-by-step explanation:
Amount to pay=$2620+Interest accrued
A=$2620+($2620×0.03×5)
A=$2620+$393
A=$3013
Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answers
Answer:
2nd answer
Step-by-step explanation:
Reason:
with a triangle the longest angle should be lower than the two smaller angles combined.
Take for instance
5, 11, 15
5+11= 16
16 is greater than 15
12+ 20= 32
32 is greater
12 + 20 = 32
32 is greater than 30
10 + 6 = 16
16 is not greater than 16
Hope this helps
the table below shoes the rates for two duplicating companies. quick copy copy place initial fee of $5.00 initial fee of $10.00 $0.06 per page $0.04 per page the total cost, c, is dependent on the number of pages, p, that are duplicated. which of these systems of equations represents this situation? p = 5 + 6c p = 10 + 4c ⊝ c = 5 + 6p c = 10 + 4p ⊝ p = 5 + 0.06c p = 10 + 0.04c ⊝ c = 5 + 0.06p c = 10 + 0.04p
Answers
Answer:
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The system of equations representing the rates for two duplicating companies are -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have the rates for two duplicating companies. There are two different rates as-
[1] > initial fee of $5 and $0.06 per page.
[2] > initial fee of $10.00 and $0.04 per page.
For the [1] company, we can write the equation as -
C[1] = 5 + 0.06x
For the [2] company, we can write the equation as -
C[2] = 10 + 0.04x
So, the system of equations will be -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
Therefore, the system of equations representing the rates for two duplicating companies are -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
To solve more questions on equation modelling, visit the link below-
brainly.com/question/9144182
#SPJ2
If 4 soap cakes cost Rs 50, find the cost of 3 dozen soap cakes.
Answers
50 divided by 4 is 12.5, so it is 12.5 for 1 soap cake, 12.5 x 36 is 45.0
The answer is 45.0
Mark Branliest!
5+9(1)+2^2
due in 4 mins please show work
Answers
Answer:
The answer is 18
Step-by-step explanation:
5+9(1)+2^2
=5+9+4
=18
Answer:
18
Step-by-step explanation:
9*1=9
2^2=4
9+4+5=18
You have to get everything on your list in 5 moves.
Can you do it?
Help please
Answers
목록에있는 모든 것을 5 개의 동작으로 가져와야합니다.
y
What is the equation of the graphed line written in
standard form?
3
2+
1
X=-3
y=-3
O x + y = -3
Ox-y=-3
1 2 3 4 5 X
54-3-2-14
2
-3
N
4
Answers
Answer:
A) x = -3
the line is undefined
The equation of the graphed line written in slope-intercept form is x = -3
What is the Slope-Intercept form?The graphed line in slope-intercept form, y = mx + b
To Convert it into the standard form of the equation, ax + by = c.
Consider that the points be (0, 3) and (5,0).
A Slope exists how many units it brought to go vertically or horizontally.
Which Slope doesn't exist.
The y-intercept in slope-intercept form, y = mx + b
where, m = undefined
x = -3
Therefore, the correct answer is option (A), x = -3 because the line is undefined.
To learn more about slope-intercept form
brainly.com/question/12005129
#SPJ7
y
What is the equation of the line in it's simplest forms
Answers
Answer:
you to be the line smell the line and thats it
Step-by-step explanation:
I EILL MAKE BRAINLEST NEED HELP ASAP MT TEACHER IS ABOUT TO YELL WT ME PLEASE PLEASE PLEASE PLEASE PLEASE
Answers
Find the product (у- 2)(5у2 + 3y - 1)
Answers
Answer:
5y^3 - 7y^2 - 97y + 2 <<<< Answer
Step-by-step explanation:
(у- 2)(5у2 + 3y - 1)
Multiply the three terms by y
5y^2 * y + 3y * y - 1*y = 5y^3 + 3y^2 - y
Multiply the three terms by - 2
-2*5y^2 -2*3y - 2*-1
-10y^2 - 6y + 2
Now combine the like terms
5y^3 + 3y^2 - 10y^2 - y - 6y + 2
5y^3 - 7y^2 - 97y + 2
Multiply
(1.4 x 105)(2 x 107)
Answers
Answer:
31458
Step-by-step explanation:
(1.4 x 105) = 147
(2 x 107) = 247
147 x 247 = 31,458
Factorise
X squared + 13x + 40
Answers
13 = 8 + 5 and
40 = 8 x 5
hope this helps! :)
Can you help meh pls
Answers
The point (1,0) lies on the graph of
P(x) = x^4 - 2x^3 - x+2
A. True
B. False
Answers
Answer:
The given statement is true.
Step-by-step explanation:
Given function is:
[tex]P(x) = x^4 - 2x^3 - x+2[/tex]
And the given point is:
(1,0)
In an ordered pair, the first element is the input and second is the output. If we plug in the input to the function and get the respective output then the point lies on the graph of function.
For (1,0) we will put x = 1 in function and check whether we get 0 as output
[tex]P(x) = (1)^4 - 2(1)^3 - 1+2\\= 1-2(1)-1+2\\= 1-2-1+2\\=0[/tex]
Hence,
The given statement is true.
Answer:
A. True
Step-by-step explanation:
Solve the system.
y=6x-1
y=3x-4
The solution is _____
.
Explain your choice of method.
Answers
Answer:
(-1, -7)
Step-by-step explanation:
Solve by graphing.
Graph the two equations together.
The lines intercept at (-1, -7).
Hope this helps.
Answer:
Solution: (-1, -7)
Step-by-step explanation:
6x - 1 = 3x - 4
Subtract 3x from both sides;
3x - 1 = -4
Add 1 to both sides;
3x = -3
Divide both sides by 3;
x = -1
Substitute x into the equation;
y = 3(-1) - 4
y = -3 - 4
y = -7
the number line at the right models an addition sentence select all the situations below could be modeled by the addition sentence.
Answers
Graph
Y=3/4x - 1/2
Pleaseeeee help!!
Answers
What is the slope of a line perpendicular to the line whose equation is
10x – 8y = -80. Fully reduce your answer.
Answers
Answer:
-4/5
Step-by-step explanation:
write the given equation in y=mx+b form, where m is the slope
10x-8y=-80
-8y= -10x-80 divide both sides by -8
y=(10/8)x+10
y=(5/4)x+10
m= 5/4 is the slope of the given function
the slope of an equation that is perpendicular is the negative reciprocal of the given one so is
m= -4/5
describe transformation given by (x,y) (x, y + 2)
Answers
Answer:
This graph has been translated. Translation is when the image on the graph has been shifted along one or both of the axis. In this case, the graph has been shifted up two units as shown by the operation of addition on the y-value. Remember that translations are rigid movements, so the new image will be congruent to the pre-image.
jontae went to brunch with his family and offered to pay the bill.The total bill was $54.19 before tax. If there is a 15% how much does he pay in taxes
Answers
Answer:
$62.32
Step-by-step explanation:
54.19 · 15/100 = 812.85/100 = 8.1285
simplify 8.1285, so it's 8.13
$54.19 + $8.13 = $62.32
Jennifer had 3 \frac{3}{4}
4
3
lbs of tomatoes. She used \frac{1}{3}
3
1
OF that amount to make a salad. How many pounds OF tomatoes did she use? (LEAVE ANSWER AS A MIXED NUMBER)
Answers
Answer:
She used 1/4 of a pounds for salad
Step-by-step explanation:
Here, we want to calculate the amount of pounds of tomatoes used to make salad
From the question, she has 3/4 pounds and used 1/3 of what she has to make salad
What she used will be;
3/4 * 1/3 = 1/4
Solve for ... 2x + 3
Answers
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
plzzzz some one help I want step by step I'm confused What's 5⁄6 of £300
Answers
Answer: 15
Step-by-step explanation:
The population of a town is increasing at a constant rate of 4.7% each year. At the beginning of 2010 the population was 42,000. Find the size of the population at the beginning of 2016. Give your answer to 3 sf.
Answers
Answer:
The population at the beginning of 2016 is 55,326.
Step-by-step explanation:
Giving the following information:
Population 2010 (PV)= 42,000
Growth rate (g)= 4.7% = 0.047
Number of years (n)= 6 years
To calculate the population at the beginning of 2016, we need to use the following formula:
FV= PV*(1+g)^n
FV= 42,000*(1.047^6)
FV= 55,326
The population at the beginning of 2016 is 55,326.
If -6a = -48, then a =
Answers
Answer:a=8
source: trust me
Which expression is equivalent to 9-3?
3(y-1)
3(3y-1)
9(y-3)
9(3y-3)
if its correct I will give brainliest!♡
Answers
Answer:
B because 3*3=9 And 3*1=3 so it would be 3(3y-1) foil the answer
Step-by-step explanation:
The answer is B, I took the test.
Blake sold 17 verses for $3.25 each he spent $16.21 on materials to make the vases what is the profit
Answers
Answer:
We can calculate what did he get, as we know he sold 17 vasess for 3.25 dollars each of them, we can multiply:
17 * 3.25 = $55.25
Now, we know he got 55.25 dollars but he spent 16.21, so we substract:
55.25 - 16.21 = $39.04
His profit selling that is of 39.04 dollars..
HELP PLZ!!!!! A fireman's ladder is placed against a wall. The bottom of the ladder is 15 ft away from the wall and the top of the ladder touches the wall at a point 80 ft above the ground. Assuming that the slope is positive, what is the slope of the ladder? Round your answer to the nearest hundredth.
Answers
Answer:
5.3
Step-by-step explanation:
We know that the bottom of the ladder is 15 feet from the wall, and it touches the wall 80 feet above the ground. Imagine it like two points on a graph. One is at the origin (0,0). That represents the bottom of the ladder. The next one is at (80,15), which represents where the top is. To find slope, we divide rise (y-values) over the run (x-values). The y value increases by 80, while the x increases by 15. 80 divided by 15 equals about 5.3
Anyone know this pls help me
