Can someone please helpp

Given:

The expression is

[tex]x^2+bx+6[/tex]

To find:

The values of b so that the given expression can be factored into binomials factors.

Solution:

An expression is [tex]ax^2+bx+c[/tex] factorable if b is the sum of possible factors of ac.

We have,

[tex]x^2+bx+6[/tex]

Here, [tex]a=1,b=b,c=6[/tex].

[tex]ac=(1)(6)[/tex]

[tex]ac=6[/tex]

Some, factor forms of 6 are (1×6) and (2×3).

[tex]1+6=7[/tex]

[tex]2+3=5[/tex]

For b=7,

[tex]x^2+7x+6=x^2+x+6x+6[/tex]

[tex]x^2+7x+6=x(x+1)+6(x+1)[/tex]

[tex]x^2+7x+6=(x+1)(x+6)[/tex]

For b=5,

[tex]x^2+5x+6=x^2+2x+3x+6[/tex]

[tex]x^2+5x+6=x(x+2)+3(x+2)[/tex]

[tex]x^2+5x+6=(x+2)(x+3)[/tex]

Therefore, the two possible values of b are 7 and 5.

Answer: M= -2

Step-by-step explanation: Have a brilliant day mate- Lily ^-^

Answer:

you get X= 1.25!!!!! :) have a great day

Step-by-step explanation:

Answer:

£101

Step-by-step explanation:

60 divided by 4 = 15

15 x 3 = 45

£45 = adult price

10% of £45 = £4.50

40% of £45 = £18

£45 - £18 = £27

£27 = 1 child ticket

£27 x 2 = £56

£56 = two child tickets

£56 + £45 = £101

Answer:

x = -35

Step-by-step explanation:

-8/5x = 56

Start by multiplying both sides by 5 to get rid of the fraction. That will leave you with:

-8x = 280

You can then divide both sides by -8 and then you'll get x = -35

Answer:

x=-35

Step-by-step explanation:

-8/5x is gonna be -1.6x and you divide 56 by -1.6x and get x=-35

Answer:

x = 7

y = 4

Arc JKL = 262°

Step-by-step explanation:

Find the diagram attached

Using the theorem;

Sum of opposite angle of the quadrilateral is 180°

7x+131 = 180

7x = 180-131

7x = 49°

x = 49/7

x = 7

Similarly;

11x+y+99 = 180°

11(7)+y+99 = 180°

77+99+y = 180

176+y = 180

y = 180-176

y = 4

arc JKL is the obtuse angle at the centre

Arc JKL = 360-(angle at the centre)

Angle at the centre is twice angle at the circumference.

Angle at the centre = 2(7x)

Angle at the centre = 2(49)

Angle at the centre = 98°

Arc JKL = 360-98

Arc JKL = 262°

hope it becomes helpful to you ☺️☺️

good luck

Answer:

Yanga ka jhcgjvvhjjio ddd....

Answer:

Step-by-step explanation:

2x+5y = 13

2(8-3y)+5y =13

16-6y+5y = 13

y=3

x =8-3y = -1

Answer:

x= {-29}

Step-by-step explanation:

.....................................

Answer:

-4 or 5

Step-by-step explanation:

let number be x

x²-x=20

Rearrange

x²-x-20=0

(x+4)(x-5)=0

Separate

x+4=0, x-5=0

x=-4 or 5

Answer:

20% = 20/100 or 2/10 or 1/5

Step-by-step explanation:

Answer:

20% as a fraction can be 20/100 1/5 2/10

Step-by-step explanation:

Answer:

Step-by-step explanation:

All you have to do is divide 15.63 by 4. That way you will find out how much it costs for 1 pound of strawberries.

15.63 divided by 4 = 3.9075 ( I would round it but you don't have to.

Now look at the first 3 number for both prices

Grapes: $3.75

Strawberries: $3.90

Now you see which is less expensive ( grapes ). Now finish with a statement!

Hopefully that helps any more questions lmk!

Answer:

y=-2/5x +8

Step-by-step explanation:

use y=mx+b      look at where the line intercepts with the y-axis and that is at 8 so that is your b. Then find two points and count how many down or up it is to get from the higher up point (i usually use the one that intercepts at the y-axis) to same line as the other point, in this case thats down two. Then count how many to the right it is and in this case it is 5. so since it went down thats -2 over 5 so then you just fill that into the y=mx+b   and you should get   y=-2/5x+8

Hope this helped!

ps. if this was right can you make it brainliest? thanks!

Answer:

Step-by-step explanation:

I believe the correct answer is A, but im not sure. Hope it helps! <3

Answer:

a

Step-by-step explanation:

it takes a long time for a river to carve a path through rock. for example it took the grand canyon 5-6 million years to form by way of river erosion

Answer:

12c + 14d - 4

Step-by-step explanation:

16d + 20c + 5d -7 - 8c - 7d + 3

Simplify the expression

__________________________

To solve, we need to first take in mind the fact that there are different like terms within this expression. Like terms are numbers or values that end in different symbols, such as variables or exponents. Since we are filled with variables such as c and d. We can do as followed :

Combine the "d" like terms :

16d + 5d - 7d

21d - 7d

14d

Combine the "c" like terms :

20c - 8c

12c

Combine the constants :

-7 + 3

-4

Now add all of the values together to get the final expression.

12c + 14d - 4

Answer:

14d + 12c + 3

Step-by-step explanation:

1) Add the same variables; if you see d, or c variable add or subtract them like this:

16d + 5d - 7d = 14d

20c - 8c = 12c

3 is left alone b/c there’s no any other number to add/subtract for 3.

also I know whether to add or subtract b/c the addition or subtraction sign would be before the number: ex; - 2, - 3x, + 5d, + 5

2) your equation should look like this....

14d + 12c + 3

Answer:

Option D my dude

Step-by-step explanation:

it make sense

Answer:

Step-by-step explanation:

METHOD 1

in centre it is split by 4, each angle is equal.

in a square angles add up to 360°

360/4=90°

∴∠DOC=90°

if you have to do more work or have toexplain more, or you dont get that way there is another method:

METHOD 2

since ABCD is a square it alladds up to 360°

so ∠A=B=C=D=90°

in triangle DOC anles add up to 180°

each diagonal cuts angleA,B,C and D in half

so in triangle DOC, ∠ODC=∠CDO=45

∠DOC=180-∠DOC-∠CDO       (or 180-(∠DOC+∠CDO)

∠DOC=180-45-45

∠DOC=90

Answer:

Step-by-step explanation:

D) Its vertex is at the origin

E) The terminal side of a negative-measured angle is generated in the clock-wise direction from the x-axis.

The amount of rotation between the two rays forming the angle is known as the measure of the angle

The correct options are;

The options that gives the statements that accurately describes the nature of an angle in the standard position are;

D) Its vertex is at the origin.

E) The terminal side of a negative measured angle is generated in the clock-wise direction from the x-axis

Reason:

An angle is in the standard position where the location of the angle is at the origin, the positive direction is the counterclockwise, while the negative direction is the clockwise direction

The x-axis oriented ray is known as the initial side, while the other ray forming the angle is known as the terminal side

Therefore, the correct options are;

D. Its vertex is at the origin.

E. The terminal side of a negative measured angle is generated in the clock-wise direction from the x-axis

Learn more here:

https://brainly.com/question/15342488

Answer:

The answer is the 2nd one.

Answer:

All you have to do is add 2/4 7 times. So 1/4 times 7 which would equal 7/4=1 3/4

Step-by-step explanation:

Division is one of the four fundamental arithmetic operations. The groups of 1/4 in 7 are 28.

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The number of one-fourths in 7, can be found by dividing 7 by 1/4. Therefore, the groups of 1/4 in 7 are,

Number of one-fourth = 7/(1/4)

                                     = (7×4)/1

                                     = 28

Hence, the groups of 1/4 in 7 are 28.

Learn more about Division here:

https://brainly.com/question/369266

#SPJ2

Answer:7.5 in2

Step-by-step explanation:A=6a2=6·2.52=37.5in²

Answer:

6.50

Step-by-step explanation:

Answer:14/15 pounds of meat

Step-by-step explanation:

===========================================================

Explanation:

Since ABDE is a rectangle, the opposite sides AE and BD are the same length. This makes BD = 24. Similarly, ED = 20 since AB = 20.

Focus on triangle BCD. Let x be the length of segment CD. We can use the pythagorean theorem to find x

a^2 + b^2 = c^2

(BD)^2 + (CD)^2 = (BC)^2

24^2 + x^2 = 25^2

576 + x^2 = 625

x^2 = 625 - 576

x^2 = 49

x = sqrt(49)

x = 7

Segment CD is 7 units long.

Since ED = 20, this means,

EC = ED + DC

EC = 20 + 7

EC = 27

The perimeter of this trapezoid is

P = sum of all exterior sides

P = AB+BC+CE+EA

P = 20+25+27+24

P = 96 units

Note that we didn't add in side BD as part of the perimeter because it is not an exterior side. Think of sides AB, BC, CE, and AE as outer walls of the house while BD is an interior wall. The perimeter is only worried about the outer walls.

96

Explanation:

Since ABDE is a rectangle, the opposite sides AE and BD are the same length. This makes BD = 24. Similarly, ED = 20 since AB = 20.

Focus on triangle BCD. Let x be the length of segment CD. We can use the pythagorean theorem to find x

576 + x^2 = 625

x^2 = 625 - 576

x^2 = 49

x = sqrt(49)

x = 7

Segment CD is 7 units long.

Since ED = 20, this means,

EC = ED + DC

EC = 20 + 7

EC = 27

The perimeter of this trapezoid is

P = sum of all exterior sides

P = AB+BC+CE+EA

P = 20+25+27+24

P = 96 units

Answer:

15 is your answer

Step-by-step explanation:

Answer:

15 is the answer

Step-by-step explanation:

ans 15

thanx