Factorise

a² - 144
Please factorise this​

Answers

Answer 1

Answer:

a² ÷a = a

144 ÷ 2= 12

(a - 12) (a + 12)

Answer 2

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]
Factorisea - 144Please Factorise This

Related Questions

Select all of the equations that are equivalent to 3.2 + 6 = 27
3x=21
3.x=33
X+ 6 = 24
x + 2 = 9

Answers

hey 47 yea=467 yigcd

mL1 = 26°
and
mL3 = 53°

What is
mL4

Answers

Answer:

53 + 26

=79 is right

therefore m angle 4 is 79

The hourly wage is $7.50. John worked 7 hour. How much did he
earn?

Answers

Answer:

52.5

Step-by-step explanation:

7.50 x 7

A biologist determined that there were 42 oak trees in a 5-acre forest. How many oak trees would be expected on 40 acres of identical habitat?

Answers

Answer:

336

Step-by-step explanation:

Using arithmetic operation, the number of oak trees on the land which is of identical habitat would be 336.

Using the relation:

5 acres = 42 trees - - - - - (1)

40 acres = t - - - - - (2)

Cross multiply

5t = 42 × 40

5t = 1680

t = 1680 / 5

t = 336 oak trees

Therefore, the Number of oak trees would be 336

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32gal/min = ft/s not h i need s

Answers

Gallons (volume) and feet (length) are not compatible units. I guess you mean cubic feet.

Apparently, 1 gal = 231 in³, so

32 gal/min

= (32 gal/min) • (231 in³/gal) • (1/12 ft/in)³ • (1/60 min/s)

= (32 • 231) / (12³ • 60) ft³/s

= 77/1080 ft³/s

≈ 0.0713 ft³/s

Mrs. Green has to buy enough candy canes for every student in her school to each get one. Candy canes are sold 10 to a box for $3 a box. There are 7 teams in the school, and each team has between 93 and 116 students. a. Is this situation discrete or continuous? How do you know? b. What is the domain and range? (Really think about what you are collecting data on in this question)

Answers

Answer:

a. The situation is discrete for the domain and continuous for the range.

b. i.  651 ≤ x ≤ 812. ii. $ 195.3 ≤ x ≤ $ 243.6.

Step-by-step explanation:

a. This is because we can only have a whole number of students which in turn leads to a whole number of candies. Also, since the cost of each candy box is $ 3/10 = $ 0.3, it is a real number. So, the total cost of candy will also be a real number. Thus, the situation is discrete for the domain and continuous for the range.

b. i. Let x be the number of students which also equals number of candies to be bought. Since there are 7 teams and between 93 and 116 students per team, the minimum number of students is 93 × 7 = 651 and the maximum number of students is 116 × 7 = 812. So, the domain, the number of candies is 651 ≤ x ≤ 812.

ii. The range of the function is the cost of the candies. Since the cost of the candies is $ 3 per box and there are 10 per box, each candy costs $ 3/10 = $ 0.3. So the total cost of candies C = cost per candy × number of students = $0.3x.

So, the range of the candies is the minimum and maximum values of students times $ 0.3. So, 651 × $ 0.3 ≤ x ≤ 812 × $ 0.3 = $ 195.3 ≤ x ≤ $ 243.6

i need assistance lol

Answers

I’m pretty sure it’s exponential. I hope this helped!
Please leave a brainliest mark and a thanks (:

CAN SOMEONE HELP ASAP ILL GIVE GOOD RATING

Answers

Answer:

35

Step-by-step explanation:

Last year, the average monthly revenue at the Richmond Times newspaper was $82,980. So far this year, the average has been 25% more than last year. What is the average revenue so far this year?

Answers

Answer:

103,725

Step-by-step explanation:

82,980x.25+82,980

find the value of the expression 2y-5 for y=10

Answers

Answer:

15

Step-by-step explanation:

Substitute 10 for y

2(10) - 5

= 15

Answer:

 15

Step-by-step explanation:

2y-2

sinse y=10,

2(10)-5

20-5

15

I will give u a thank you

Answers

Answer:

The first one

Step-by-step explanation:

3x6=18

3.6x5=18

PLEASE HELP!

Identify the center and radius of the circle (x+4)^2 + (y-2)^2=16

Answers

The equation for a circle is x^2+y^2=r^2 so the radius is the square root of 16 which is 4. Then you take y-2 and set it equal to 0. This gives you y=2 as the y coordinate of the center. You then set x+4 equal to 0 which gives you x=-4 which is the x coordinate of the center. So the radius is 4 and the center is at (-4,2)

11+(-3)-1/8j-3/8j+7=

Will give reward if right

Answers

Answer:

J = 7.5

Step-by-step explanation:

* This is going off of the estimate that the = sign means the equation is = to 0, as there is no value after the equal sign. *

First, start off by adding all of the like numbers.

11 + (-3) + 7 = 8 + 7 = 15

- 1/8 j - 3/8 j  = - 4/8 j.

Combining those two sums, we get:

15 - 4/8 j = 0

Subtract 15 from both sides,

-4/8 j = -15

Simplify -4/8 to -1/2, and then to -0.5

-0.5j = -15

Divide.

-15/-0.5 = 7.5

When you divide a negative number by another negative number, you get a positive. Therefore, the answer is J = 7.5

If the number after the = sign IS NOT 0, then when you get to 15 - 0.5j, just do the steps but with a number that isn't 0.

If the product of the two roots of the equation : (k - 2) x2 - 6 X + 12 = 0 is 3, then k =
(a) zero
(b) 4
(c) 6
(d) 38​

Answers

Answer:

(c)

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0

Then the product of the roots = [tex]\frac{c}{a}[/tex]

(k - 2)x² - 6x + 12 = 0 ← is in standard form

with a = k - 2 and c = 12 , thus

[tex]\frac{12}{k-2}[/tex] = 3 ( multiply both sides by (k - 1) )

12 = 3(k - 2) = 3k - 6 ( add 6 to both sides )

18 = 3k ( divide both sides by 3 )

6 = k → (c)

Determine the 6th term of the following sequence.

1215, 405, 135, 45,...

Answers

Answer:

5

Step-by-step explanation:

Answer:

I think its 5

Step-by-step explanation:

because you divide them by 3 to get the next answer and 44 divided by 3 is 15 and 15 divided by 3 is 5

My mom was at the store with a 15% off coupon. She spent $25.00 with 7% sales tax. How much is the total?

Answers

Answer:

The answer is $22.74

Step-by-step explanation:

Divina get paid two dollars per hour to do her chores this weekend she did chores on both Saturday and Sunday she made a total of $20 divina Worked for four hours on Saturday for how many hours did she do her chores on Sunday let X equal hours spent doing chores on Sunday choose The equation and solution steps that correctly represent this problem HELP

Answers

Answer:

Equation:  4(2) + 2x = 20

Step-by-step explanation:

Subtract 8 from both sides

2x = 12

Divide both sides by 2

x = 6

She did 6 hours of chores on Sunday

The equation will be 4(2) + 2x = 20. Hence, She did 6 hours of chores on Sunday.

What is the solution for an equation?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of that variable would give a true mathematical statement.

Divina gets paid two dollars per hour to do her chores this weekend.

she did chores on both Saturday and Sunday.

she made a total of $20 Divina Worked for four hours on Saturday.

Let x equal hours spent doing chores on Sunday.

The equation will be

4(2) + 2x = 20

Subtract 8 from both sides

4(2) + 2x  - 8 = 20- 8

2x = 12

Divide both sides by 2

x = 6

Hence, She did 6 hours of chores on Sunday.

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perform the indicated operation. Be sure the answer is reduced.
2a+1/3a + 5/4 - 2a-3/6a^2
A 23a^2 + 6/12a^2
B -23a^2 + 6/12a^2
C 23a^2 - 6/12a^2

Answers

Answer:

A 23a^2 + 6/12a^2

Step-by-step explanation:

2a+1/3a + 5/4 -2a-3/6a^2

=4(2a+1)+15a/12a - 2a-3/6a^2

=a(8a+4+15a^2)-{2(2a-3)}/12a^2

=8a^2+4a+15a^2-4a+6/12a^2

=23a^2+6/12a^2

PLEASE HELP FAST ITS PRETTY EASY FOR BRIANLIST

Answers

5^0.5 or 5^(1/2)

Fractional powers are basically just roots with the bottom fraction being the amount of roots and the top fraction being the power.

5^0.5 = 5^(1/2) = sqrt(5)

Answer:

5^(1/2)

Step-by-step explanation:

5^(1/2)

which number line shows an integer and its opposite?

Answers

Answer:

B

Step-by-step explanation:

An integer is a whole number (not including 0).  An integer's opposite can be found by adding a negative sign to the front of it.  A negative integer's opposite would be positive, while a positive integer's opposite would be negative.  

Please help as fast as possible thanks much appreciated in advance

Answers

Answer:

140

Step-by-step explanation:

x = 7  ; y = -2

7(2x - 3y) = 7(2*7 - 3*[-2])

               = 7(14 + 6)

              = 7 * 20

               = 140

Step-by-step explanation:

this is what I believe the answer is and the work for it

Which expression is equivalent to 100,000

Answers

Answer:

the answer is 10 with a little 4 on the top right corner

Step-by-step explanation:

count your zeros

which expression is equivalent to 9x+4y+5+2x +8?

Answers

9x+2x=11x

5+8=13

=

11x+4y+13

Answer:

11x + 4y + 13

Step-by-step explanation:

ORIGNIAL EXPRESSION: 9x + 4y + 5 +2x +8

Combine like terms.

11x + 4y + 13 is the final answer.

(If this helped you, please give brainliest!)

(I did this on I-Ready and got it correct.)

due in 30 min! Order the Angles from LEAST TO GREATEST
B, C, A


A, C, B


A, B, C


B, A, C


C, B, A


C, A, B

Answers

Answer:

Pretty sure it's C, A, B

Step-by-step explanation:

HELP!!!!!
A quadratic function passes through the points (0,5), (2,3), and (3,5). Which function represents the same relationship?

Answers

Answer:

h(x)=x^2-3x+5

Step-by-step explanation:

Longer question please help ASAP

Answers

Answer:

a. 40÷2.89=m  b. 13

Step-by-step explanation:

i rounded 2.89 to the nearest whole which was 3then i knew in my head that this would be a divsion qustionsince divideing 2.89 with 40 would be hard i did 3 instaed plus 3 id also resonablethen i did 40÷3 witch is 13.3 then rounded 13.3 to the nearest whole witch was 13 13 is the answer

When 0.3(4x – 8) – 0.5(–2.4x + 4) is simplified, what is the resulting expression?

A. -4.4
B. 1.2x - 2.4 + 1.2x - 2
C. 2.4x - 0.4
D. 2.4x - 4.4

Answers

Answer:

It's the B

Step-by-step explanation:

0.3*4=1.2

0.3 *(-8)=-2.4

-0.5*(-2.4x)= 1.2x

-0.5*4=-2

So it's 1.2x - 2.4 + 1.2x - 2

Answer:its B

Step-by-step explanation:

I just took the quiz

PLEASE HELP ME I KNOW ITS A LOT BUT I PUT EXTRA POINTS AND I’LL MARK YOU AS BRANLIEST!!!

Answers

Answer:

6.67

66.7%

1.20

337.12

Step-by-step explanation:

95.25*(7/100)

42.12/63.18*100

20. 95*(5/100)

9632*(3.5/100)

Write the equation of the line

Answers

Answer:

y=-3/2x+4

Step-by-step explanation:

line is negative, going 3 over 2. y intercept is 4.

Need answers
Chapter 3 geometry test on big ideas math

Answers

Answer/Step-by-step explanation:

WX: 4.47

[tex]4^{2} + 2^{2} = 20\\\sqrt{20} = 4.47[/tex]

XY: 3.61

[tex]3^{2} + 2^{2} = 13\\\sqrt{13} = 3.61[/tex]

YZ: 4.12

[tex]1^{2} + 4^{2} = 17\\\sqrt{17} =4.12[/tex]

WZ: 4.24

[tex]3^{2} + 3^{2} = 18 \\\sqrt{18} = 4.24[/tex]

The slopes of the lines are:

WX = 2

XY = -1.5

YZ = 4

WZ = -1

Given is a polygon on a coordinate plane with vertices =

W = (-5, 1)

X = (-3, 5)

Y = (-1, 2)

Z = (-2, -2)

We need to find the slopes of line =

WX, XY, YZ and WZ

To find the slopes of the lines connecting the vertices of the polygon, we can use the formula for the slope between two points (x₁, y₁) and (x₂, y₂):

slope = (y₂ - y₁) / (x₂ - x₁)

Let's calculate the slopes for each line:

1) Slope of line WX:

W = (-5, 1)

X = (-3, 5)

slope(WX) = (5 - 1) / (-3 - (-5))

= 4 / 2

= 2

So, the slope of line WX is 2.

2) Slope of line XY:

X = (-3, 5)

Y = (-1, 2)

slope(XY) = (2 - 5) / (-1 - (-3))

= -3 / 2

= -1.5

So, the slope of line XY is -1.5.

3) Slope of line YZ:

Y = (-1, 2)

Z = (-2, -2)

slope(YZ) = (-2 - 2) / (-2 - (-1))

= -4 / (-1)

= 4

So, the slope of line YZ is 4.

4) Slope of line WZ:

W = (-5, 1)

Z = (-2, -2)

slope(WZ) = (-2 - 1) / (-2 - (-5))

= -3 / 3

= -1

So, the slope of line WZ is -1.

Therefore, the slopes of the lines are:

WX = 2

XY = -1.5

YZ = 4

WZ = -1

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