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


A line passes through point (8, -2) and has a slope of -5/4
Write an equation in Ax+By= C form for this line.
Use integers for A, B, and C.
show work on how you got it

Answers

Answer:

4y+5x=32

Use slope intercept form, then change to Ax+By= C form.

Which angles are supplementary angles?

Answers

Answer:

∠HGD and ∠FGD

Step-by-step explanation:

supplementary means they add up to 180 (straight line)

Answer:

D) Angle DGH and Angle FGD

Step-by-step explanation:

We observe that Angle DGH and Angle FGD form a linear pair and hence, are supplementary.

Find the angle measure.
Angle E

Answers

Triangle ABC is an isosceles triangle. This means that base angles A and C are the same measure.

Triangle CDE is also isosceles. This means that angles C and D are the same measure.

The hatch marks shown in both triangles clearly indicate this fact of geometry.

So, if angle C is 40 degrees, C and D must be 70 degrees each because the sum of the angles in a triangle is 180 degrees.

Angle C = 70 degrees.

. . .70 degrees= angle C. . . . .

help find missing segment??

Answers

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Let x as the missing segment.

_________________________________

According to the Thales theorem :

[tex] \frac{26}{x} = \frac{12}{36} \\ [/tex]

[tex] \frac{26}{x} = \frac{12}{12 \times 3} \\ [/tex]

[tex] \frac{26}{x} = \frac{1}{3} \\ [/tex]

Inverse both sides

[tex] \frac{x}{26} = \frac{3}{1} \\ [/tex]

[tex] \frac{x}{26} = 3 \\ [/tex]

Multiply sides by 26

[tex]26 \times \frac{x}{26} = 26 \times 3 \\ [/tex]

[tex]x = 26 \times 3[/tex]

[tex]x = 78[/tex]

Thus the missing segment has a measure of 78 .

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Darius takes his family on an afternoon boat ride.
Going through York Canal, he drives 5 miles in 15 minutes.
Later on as he crosses Stover Lake, he drives 30 minutes at the same average speed.
Which statement about the distances is true?

Answers

The statement that is true would be later on as he crosses Stover Lake, he drives 30 minutes at the same average speed. Hope this helps

Which statements must be true regarding the two
triangles? Check all that apply.
O ZM= ZM"
O ALMN – AL"M"N"
ALMN = AL"M"N"
The coordinates of vertex L" are (-3, 1.5).
The coordinates of vertex N" are (3,-1.5).
The coordinates of vertex M" are (1.5, -1.5).

Answers

Answer:

b

Step-by-step explanation:

its pretty simple if you look at it riggt

Write an equation of a line in standard form. (2,7)=-4

Answers

Answer:

i need points

Step-by-step explanation:

PLEASE HELP!!!
In a music competition, a participant has to score a total of at least 40 points in the first four rounds combined to move on to the fifth and final round. Glenn scored 4 points in the first round. He then went on to score additional points in the second, third, and fourth rounds. In each of those rounds, his score was identical. Which inequality best shows the number of points, p, that Glenn scored in each of the second, third, and fourth rounds if he earned a place in the finals?

4 + 3p ≤ 40
4 + 3p ≥ 40
4p + 3 ≥ 40
4p + 3 ≤ 40

Answers

Answer:

its c bro

Step-by-step explanation:

The answer would C. Hope this helps!!

Diego has $12 and begins saving $5 each week toward buying a new phone. At the same time that Diego begins saving, Lin has $84 and begins spending $3 per week on supplies for her art class. Is there a week when they have the same amount of money? How much do they have at that time?
After_______weeks both Diego and Lin will have_____dollars

Answers

Answer:

$72

Step-by-step explanation:

Answer:

After ten weeks both diego and lin will have 57 dollars

Step-by-step explanation:

x+y=12
-x=-y-10
HELP thanks

Answers

do you have a picture or problem sentance that goes with that

Determine if the side lengths could form a triangle. Use an inequality to prove your answer.



a) 16 m, 21 m, 39 m



b) 34 km, 27 km, 58 km



c) 29 ft, 38 ft, 9 ft

Answers

9514 1404 393

Answer:

  a) no

  b) yes

  c) maybe (no)

Step-by-step explanation:

There are two versions of the triangle inequality. One requires ...

  a + b > c

for any triple of side measures a, b, c.

The other allows ...

  a + b ≥ c

which admits "triangles" that have zero height and look like line segments.

Most questions asking "do these lengths form a triangle" are concerned with the "greater than" case, and disallow the "or equal to" case.

__

a)

  [tex]16+21=37\ngtr39\qquad\text{not a triangle}[/tex]

b)

  [tex]27+34=61>58\qquad\text{could be a triangle}[/tex]

c)

  [tex]9+29=38\ge38\qquad\text{could be a triangle if "equal to" is allowed}[/tex]

Which ordered pair is a solution of the equation?

Answers

Answer:

D, neither

Step-by-step explanation:

If you want to solve this through elimination, just substitute the given points in each choice. (a,b) → (x,y)

In a coordinate the first number is the x value, and the second is the y.

All you have to do is substitute the indicated values given in the coordinate into the point slope equation, and determine whether or not the equation is true. If the equation is true (for example 1 = 1) the order pair IS a solution. If the equation is false (for example 1 = 2), than the ordered pair IS NOT a solution.

If you want to look at this linear equation solving for the quantity y, then use slope intercept.

Choice 1 is incorrect because (5,4) →

y - 4 = 7(x - 6) → (4) - 4 = 7((5) - 6) →

0 = 7(-1) → 0 = -7 (0 is never equal to -7) ; contradictory

Choice 2 is incorrect because (6,5) →

y - 4 = 7(x - 6) → (5) - 4 = 7((6) - 6) →

1 = 7(0) → 1 = 0 (1 is never equal to 0) ; contradictory

Therefore Choice 3 must be incorrect as well because neither of these two pairs are solutions, so combining two pairs that do not satisfy the equation does not make it any more true.

Since Choice 4 is the remaining choice, it must be the correct answer.

The points that fit on this line are given by the slope intercept equation: y = 7x - 3.

To convert point slope form to slope intercept form, first distribute everything in the parenthesis. Then remove all the terms besides y from the left side of the equation to the right:

y - 4 = 7(x - 6) → y - 4 = 7(x) + 7(-6) →

y - 4 = 7x - 42 → y - 4 + 4 = 7x - 42 + 4 →

y = 7x - 38.

Just substitute the x or y value into the equation, and find the corresponding y or x variable that fits the line.

A small pool is being drained. There are 1,320 gallons of water remaining in the pool after 2 minutes and 1, 040 gallons after 9

minutes. How long would it take for the pool to be completely drained? (1 point)

Answers

Answer: 35 minutes

Step-by-step explanation:

For us to solve the question, we have to calculate the amount of gallons of water that is drained every minute. This will be:

= (1320 - 1040) / (9 - 2)

= 280/7

= 40 gallons per minute

Since we are told that 1,320 gallons of water remain in the pool after 2 minutes. This means that the total water in the pool at the beginning was:

= 1320 gallons + (40 × 2)

= 1320 gallons + 80 gallons

= 1400 gallons

The time taken for the pool to be completely drained will be:

= Total water in pool / Gallons drained per minute

= 1400 / 40

= 35 minutes

Calculate the value of x

Answers

Answer:

12x=180 -30

x= 150/12

x= 12.5°

Answer:

x = 12.5

Step-by-step explanation:

The 3 angles lie on a straight line and so sum to 180°, that is

x + 10 + 10x + x + 20 = 180, simplify

12x + 30 = 180 ( subtract 30 from both sides )

12x = 150 ( divide both sides by 12 )

x = 12.5

need help i will mark brainliest

Answers

Answer:

sorry all I know is "C" is 30

Step-by-step explanation:

Answer:

t=15 k=320 p=30 j=39 r=22

what is y=-4/3x-4 in standard form

Answers

Answer:

4x + 3y = - 12

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

y = - [tex]\frac{4}{3}[/tex] x - 4 ( multiply through by 3 to clear the fraction )

3y = - 4x - 12 ( add 4x to both sides )

4x + 3y = - 12 ← in standard form


I’ll mark u as brainlist if u get this right!!

Answers

Answer:

A

Step-by-step explanation:

When X is less than -1, positive parabola.  

I agree, (just to give a second opinion) It is A

Jordan is using a number line to model the division expression Negative 24 divided by 12. What should be a step in his work?

Answers

Answer:

-24/12= -2

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

If I'm wrong please tell me

Question 6 (1 point) Fossils are usually found in sedimentary rock. O True O False​

Answers

Answer: true

Step-by-step explanation:

Hi. I need help with these questions.
See image for question.

Answers

Answer:

Step-by-step explanation:

Plug in the stated values for x

(a) 2(1)^4 + 3(1)^3 - (1)^3 + 2(1) - 3

   2 + 3  - 1 + 2 - 3 = 1 + 2 = 3

  f(1) = 3

(b) 2(-1)^4 + 3(-1)^3 - (-1)^2 + 2(-1) - 3

2 * 1 + 3(-1) - 1 + 2(-1) - 3

2 + -3 -1 -2 - 3 = 2 - 9 = -7

f(-1) = -7

(c) 2(0) + 3(0) - 0 + 0 - 3

0 - 3 = -3

f(0) = -3

d) 2(-1/2)^4 + 3(-1/2)^3 - 2(-1/2) - 3

1/8 - 3/8 - (-1/2)^2 - 2 * 1/2 - 3

16/4 - 1/4 - 1/4 = -16-1-1/4 = -18/4

f(-1/2) = -9/2

ill give brainlyest to whoever gets this question right

Answers

Answer:

C

Step-by-step explanation:

430 feet above sea level

Answer:

C. 430 feet above sea level

Can someone please help me?

Answers

Answer:

$2000

Step-by-step explanation:

The value of the savings account is

v(m) = 2000(1.005)^m

where m is the number of months.

Compare with the formula for compound interest,

F = P(1 + r)^(nt)

where P = principal amount invested.

Answer: $2000

whats the answer 1 2 3

Answers

Answer:

600

610

You would round it to 600

Explanation:

Since 602 doesn't pass the five, it goes down to 600

someone please help !

Answers

For #2 they would make 394 dollars because they earn 2 dollars per bracelet, and I know that because the slope is 2

Calculate the area of the shaded region in two different ways. Explain the difference between your two methods.

Answers

Answer:

20 unit²

Step-by-step explanation:

Method 1

Area of trapezium

A = 1/2(b1 + b2)hA = 1/2(3 + 7)(4) = 1/2(10)(4) = 20 unit²Method 2

Area of rectangle - Area of triangle

A = lw = 7*4 = 28 unit²A = 1/2bh = 1/2*4*4 = 8 unit²28 - 8 = 20 unit²

6) Which list shows how many equal-sized groups of 18 students Ms. Lee can make?
1, 2, 3, 4, or 6
7, 9, 14, 18, or 28
1, 2, 3, 6, 9, or 18
1, 2, 4, 7, 14, or 28

Answers

Answer:

1,2,3,6,9

Step-by-step explanation:

Got it right




Help is it b???????????????

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Vertically opposite angles are equal

enter your answer as a number like this:42

Answers

Im not sure if its y=19
y= 6(5)-11
y=30-11
y=19

In 56 years, Kevin will be 999 times as old as he is right now.

Answers

Answer:

55,944‬

Step-by-step explanation:

Answer:Wont that mean he would be dead? Or is he like a type of animal that lives for a very long time?

Step-by-step explanation:

HELP ME NOW HURRY ASAP PLEASE

Answers

A triangles 3 angles add up to 180 degrees which means 25+50=75 and 180-75= 105 So i believe the answer is 105°
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