b) Factorise
Factorise y2 + 2y - 24

Answers

Answer 1

Answer:

(y + 6)(y - 4)

Step-by-step explanation:

Factor the following:

[tex] \longrightarrow [/tex] y² + 2y - 24

The factors of -24 that sum to 2 are 6 and -4.

So,

[tex] \longrightarrow [/tex] y² + (6 - 4)y -24

[tex] \longrightarrow [/tex] y² + 6y - 4y - 24

[tex] \longrightarrow [/tex] y(y + 6) - 4(y + 6)

[tex] \longrightarrow [/tex] (y + 6)(y - 4)

Answer 2

Answer:

( y-4) ( y+6)

Step-by-step explanation:

= y^2 + ( 6 - 4)y - 24

= y^2 + 6y - 4y - 24

= y( y + 6) - 4(y + 6)

= ( y - 4 ) ( y + 6)


Related Questions

What is
6 / 2 ( 1 + 2 )

6 divided by 2 ( 1 + 2 )

Answers

Answer: 9

Step-by-step explanation:

Es una operación combinada, cuando hay una operación en un paréntesis significa que se hace primero que todo

Please help picture below.

Answers

Answer:

AB = 6cm

BC = 14cm

Step-by-step explanation:

AB:BC => AB + BC = 7+3 = 10

20cm / 10 = 2

AB = 3cm x 2 = 6cm

BC = 7cm x 2 = 14cm

If a = –2 + 2i and b = -5i, then find the value of the ab^3 in
fully simplified form.

Answers

Answer:

Step-by-step explanation:

Rewrite the equation

Start multiplying

Simplify

The value of ab³ in simplified form is equal to -250(i + 1).

What is an equation?

Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation. For an unknown quantity represented by an unknown variable, equations are then solved to determine its value. A statement is not even an equation if there is no "equal to" sign in it.

From the given values in the question,

a = -2 + 2i

b = -5i

ab³ = (-2 + 2i) × (-5 i)³

=  (-2 + 2i) (-125 i³)

=  (-2 + 2i) (-125 (-i))

=  (-2 + 2i) (+125 i)

= 125 i(-2) + 125 i(2i)

= -250 i + 250 i²

= -250 i -250 or,

ab³ = -250 (i+1)

To know more about equation:

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What is the value of f(x)=1/2x+5 when x=4?

Answers

Answer:

f=7/4

Step-by-step explanation:

substitute x for 4 and do the equation you will get the equation f(4)=1/2(4)+5 simplify to the equation to 4f=2+5. Then do the addition and get 4f=7. Divide both sides by 4 and get f=7/4

does anyone know the answer ???????

Answers

Answer:

I can't really see the top numbers...

Step-by-step explanation:

May you let it focus a little bit The top numbers are kind of blurry :)

is the relation a function? explain ​

Answers

All functions are relations, but not all relations are functions. A function is a relation that for each input, there is only one output.

EXPLANATION;


Functions are relations that have only one output for any unique input. To tell whether a graphed relation defines a function, you can use the vertical line test.

All functions are relations, but not all relations are functions. A function is a relation that for each input, there is only one output.

halp meh ill give brainilist or whatever it is

Answers

This is the correct answer I hope it helps

Write down in terms of n, an expression for the nth term of the following sequences: a) 1 8 15 22 29 B) 12 16 20 24 28

Answers

A)

Sequence: 1 , 8 , 15 , 22 , 29

Difference : 7

Back one : -6

Expression : 7n-6

B)

Sequence: 12 , 16 , 20 , 24 , 28

Difference : 4

Back one : 8

Expression : 4n+8

A sequence is an ordered list of elements with a specific pattern.

The nth term of the sequence:

A) 1  8  15  22  29 is [tex](n-1)^{th}[/tex] + 7.

B) 12  16  20  24  28 is [tex](n-1)^{th}[/tex] + 4.

What is a sequence?

A sequence is an ordered list of elements with a specific pattern.

Example: 2, 5, 8, 11, ... is a sequence where each term is obtained by adding 3 to its previous term.

We have,

a) 1  8  15  22  29

1 + 7 = 8

8 + 7 = 15

15 + 7 = 22

22 + 7 = 29

We see that each term is obtained by adding 7 to the previous term

So, the nth will be in the form:

nth = [tex](n-1)^{th}[/tex] + 7

b) 12  16  20  24  28

12 + 4 = 16

16 + 4 = 20

20 + 4 = 24

2 + 4 = 28

We see that each term is obtained by adding 4 to the previous term.

So, the nth term will be in the form:

nth = [tex](n-1)^{th}[/tex] + 4

Thus the nth term of the sequence:

1  8  15  22  29 is [tex](n-1)^{th}[/tex] + 7.

12  16  20  24  28 is [tex](n-1)^{th}[/tex] + 4.

Learn more about sequences here:

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Which best represents the solution set of all real numbers?
[ [ PLEASE ANSWER , I'M CONFUSED ] ]

Answers

Answer:

B.

Step-by-step explanation:

Since the solution set is all real numbers, our solution graph must cover the entire number line.

We can see that B contains the graph that extends infinitely in both directions,  thereby covering the entire number line.

Therefore, our answer is B.

A is not correct because it leaves out [-6, 1] (approximately).

C is not correct because it leaves out everything to the left of -7 and everything to the right of 1.

Solve 2x + 5 = 12
what’s the what is x

Answers

Answer:

x = [tex]\frac{7}{2}[/tex]

Step-by-step explanation:

Given

2x + 5 = 12 ( subtract 5 from both sides )

2x = 7 ( divide both sides by 2 )

x = [tex]\frac{7}{2}[/tex] [ or x = 3.5 ]

Solve -2(5x – 3) = 41.
-2a + 22 = 22
8a + 22 = 22
-2a + 2 = 22
8a + 2 = 22

Answers

Answer:

I would recommend...

Step-by-step explanation:

try using a website called WolframAlfa. its easy to use just plug in the equation and It will give you a step-by-step.

:) hope this helps lol

The dataset below represents the population densities per square mile of land area in 15 states in the 2010 U.S. Census. What is the interquartile range?

Answers

Answer:

The Interquartile range is 188

Step-by-step explanation:

Missing Data:

1,19,35,43,49,55,63,94,105,110,175,231,239,351,738

Required

Determine the Interquartile range (IQR)

The given data is ordered already.

First, we need to determine the median

For odd number of data

Median = ½(n + 1)th

In this case, n = 15; so

Median = ½(15 + 1)th

Median = ½(16)th

Median = 8th

This implies that the median is at the 8th position.

So, we have:

1,19,35,43,49,55,63 ----> Lower

(94) ---- Median

105,110,175,231,239,351,738 ---- Upper

Next, we determine the median of the lower and upper sets.

These are called lower quartile (Q1) and upper quartile (Q3) respectively

Lower: 1,19,35,43,49,55,63

Number of data, n = 7

Q1 = ½(n + 1)th

Q1 = ½(7 + 1)th

Q1 = ½(8)th

Q1 = 4th position

From the list of data in the lower set,

Q1 = 43

Upper: 105,110,175,231,239,351,738

Number of data, n = 7

Q3 = ½(n + 1)th

Q3 = ½(7 + 1)th

Q3 = ½(8)th

Q3 = 4th position

From the list of data in the upper set,

Q3 = 231

IQR is then calculated as thus:

IQR = Q3 - Q1

IQR = 231 - 43

IQR = 188

Which answer shows 0.05 for in in scientific notation

Answers

5 x 10^-2 hope this helps!
The answer I think is 5×10^−2

What theorems can be used to prove the triangles are congruent?

Answers

An answer could be pathagorean therom

What is the value of x in the equation 4(2x + 12) = 0? (1 point) Group of answer choices −8 −6 6 8

Answers

Answer:

Step-by-step explanation:

4(2x+12)=0 work the () first

8x+48=0 subtract 48 to both sides to get the x by itself

8x=-48  divide by 8

x= -6

What is 3x5 in mathematics

Answers

Answer:

3x5=15

Step-by-step explanation:

If you have three groups of 5 objects, you will have 15 objects in total.

______________________                      

║  object         object             ║  

║           object                        ║

║object      object                  ║

║_____________________║

______________________                      

║  object         object             ║  

║           object                        ║

║object      object                  ║

║_____________________║

______________________                      

║  object         object             ║  

║           object                        ║

║object      object                  ║

║_____________________║

HTH :)

Answer:

3 x 5 = 15

Step-by-step explanation:

If you have a three baskets, and five apples in each then you would just add five three times. I hope that some what made sense. I usually just think of it like that. :)

An elevator starts on the
ground floor. It goes up 7
floors and then down 9 floors.
What floor is it on?

Answers

Answer:

Two floors underground

Step-by-step explanation:

Answer:

-2nd level, in the basement

Step-by-step explanation:

If we look at the number line, we can track the movement of the elevator. The ground floor is point 0. The blue dot indicates the starting position. The blue arrow indicates the positive movement of 7, and the red arrow shows negative movement of 9. The red dot is the elevator's final position.

I hope this helps!

What is (125x^21y^-3)^-5/3 simplified?

Answers

Answer:

y⁵/132x³⁵

Step-by-step explanation:

hope this is right

Nicholas has decided to buy 1.5 pounds of Sour Patch Kids 1 pound is 3.99 How much will the Sour Patch Kids cost?

Answers

Answer:

Step-by-step explanation:

5.98


A cat casts a 32-inch shadow at the same time a nearby flower casts an 8-
inch shadow. If the flower is 3 inches tall, how tall is the cat?

Answers

Answer:

the cat is 27 inches tall

Step-by-step explanation:

the cat is 27 inches tall because when the flower cast is 8 inches but the flower itself is 3 inches you do 8-3=5 take 32-5 and you get 27inches

Consider the sequence of numbers: 3/8, 3/4, 1 1/8, 1 1/2, 1 7/8. . . Which statement is a description of the sequence?

Answers

Answer:

The sequence is recursive and can be represented by the function f(n + 1)= f(n) + 3/8

Step-by-step explanation:

i got it right on the assignment

determine if the following lengths make a triangle 6,3,7

Answers

Answer:

Yes

Step-by-step explanation:

The rule is that if a+b>c, then it's a triangle. In this case, 6+3>7, so it's a triangle. The hypotenuse (7) should always be the largest of the sum of the two side lengths.

Answer:

Yes, the lengths will create a triangle.

Step-by-step explanation:

6 + 3 = 9 > 7

3 + 7 = 10 > 6

6 + 7 = 13 > 3

If the combination of any lengths is greater than the remaining length, then the lenghts will create a triangle.

What is the rate of change in the table?
X. Y
2. 10
4. 20
6. 30

Answers

The rate of change on this table would be +10 because it is going up by 10’s

if M <1 = 115 degrees what is m <2

Answers

Answer:

M<2= 65

Step-by-step explanation:

The reason it is 65 because 2 angles add up to either 90 or 180 and in this case it would be 180.

You would use angle addition postulate to find the answer so M<1 + M<2 = 180.

Since M<1 is 115 you would substitute it into the formula so 115 + M<2 = 180

Then you would subtract 115 from 180 in which you would get M<2 = 65

Question 5 (1 point) Most fossils are two million years old. True False​

Answers

Answer:

False

Step-by:-step explanation

2 million years

The oldest reliably classified fossils belonging to the genus Homo date back to a little over 2 million years ago. They belong to H. habilis, a type of ancient hominin that scientists classify as the first of our genus, and which may have led to H. erectus, one of our direct ancestors

Answer:

false

Step-by-step explanation:

most fossils are muuchhh older

plz help me solve this
solve It with Pythagoras theorem
u will get 60 points if u ans correct

Answers

Answer:

x = 4√2 or ≈ 5.66

Step-by-step explanation:

AB = √5²-3² = √16 = 4AB=AC ⇒ BC = AB√2 x = 4√2 ≈ 5.66

The customer must first pay an annual 300 a ductile in the policy covers 70% of cost of x-rays the first Insurance claim for Pacific year submitted by a person or two X-Rays the first x-ray cost 6:40 and the secondary x-ray cost 950 how much in total will he need to pay for these x-rays

Answers

Answer:

$177

Step-by-step explanation:

Given that:

Percentage covered by policy = 70%

Hence, person needs to pay (100 - 70)% = 30%

X - Ray cost :

1st = 640

2nd = 950

Total cost = (640 + 950) = 1590

Amount the person has to pay:

Total cost * 30%

1590 * 0.3 = $477

Since the person has $300 deductible :

$477 - $300 = $177

Last week, Clay had a beginning balance of $60 in his account. He wrote 4 checks for $20 each from his checking account, withdrew another $30, and finally made a deposit of $96.

Part A: Write an expression and your answer to show his final account balance at the end of the week.

Im in 7th Grade btw :/

Part B: Explain in words, what Clay should do to get his account balance to zero?

Answers

Answer:

Last week, Clay had a beginning balance of $60 in his account. He wrote 4 checks for $20 each from his checking account, withdrew another $30, and finally made a deposit of $96.

Part A: Write an expression and your answer to show his final account balance at the end of the week.

This is only ans...

PLEASE HELP what type of angles are 7 and 8?

Answers

7 is acute, and 8 is obtuse. I hope that's what you meant.

7 is an acute angle and 8 is an obtuse angle.

i need help with this one Eight cookies cost $12. At this rate, how much will 10 cookies cost?

Answers

Answer:

$15

Step-by-step explanation:

12/8 = 1.5 = 1.50 per cookie

1.50* 10 = 15

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