Factor 6x ^ 2 - 3x - 45; 3(2x - 5) * (x + 3); 3(2x - 3) * (x - 5); 3(2x + 5) * (x - 3); 3(2x + 3) * (x - 5)

Answers

Answer 1

Answer:

[tex]3(2x+5)(x-3)[/tex]

Step-by-step explanation:

The given equation is:

[tex]6x^{2}-3x-45[/tex]

It can be solved by using middle term splitting.

So,

[tex]6x^{2}-3x-45=6x^2+15x-18x-45\\\\=3(2x+5)(x-3)[/tex]

So, the factors of [tex]6x^{2}-3x-45[/tex] are [tex]3(2x+5)(x-3)[/tex]


Related Questions

Which of the following rational functions is graphed below?

Answers

Answer:

A)

Step-by-step explanation:

Which number produces an irrational number when multiplied by 3/4

Answers

any irrational number would do, like pi or root(2)

What are the coordinates of R?

Answers

Answer: y,0

Step-by-step explanation:

Match the base to the corresponding height.

Answers

Answer:

I can't see the picture

Step-by-step explanation:

SORRY :(

If f(x) = -3 3 and g(x)= 4x2 + 2x - 4, find (f +g)(x).

Answers

Answer:

A. 4x² + 9x/4 - 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsFunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x/4 - 3

g(x) = 4x² + 2x - 4

(f + g)(x) is f(x) + g(x)

Step 2: Find

Substitute in functions:                                                                                     (f + g)(x) = x/4 - 3 + 4x² + 2x - 4Combine like terms:                                                                                         (f + g)(x) = 4x² + 9x/4 - 7

Which of the following equations have no solutions?
Choose all answers that apply:
Α.
5x + 5 = -42 – 5
B
-4x + 5= -42 - 4
–4x + 5 = -4x – 5
D
4x + 5 = -4x + 5

Answers

Answer: b and c

a) 5x + 5 = -4x - 5

9x = - 10

x = -10/9

-

b) - 4x + 5 = -4x - 4

0x = -9 (no solution)

-

c) -4x + 5 = -4x - 5

0x = -10 (no solution)

-

d) 4x + 5 = -4x + 5

8x = 0

x = 0

-

hope it helps.

Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.

Which of the following is most likely the next step in the series?
А.
B.
C.
D.

Answers

Answer:

D

Step-by-step explanation:

The answer is D because the pattern adds one angle every one shape. Ex. Triangle, Rectangle, Pentagon, Hexagon

I don’t get this pls helppppppp!!!!!!!!!!!!

Answers

Answer:

1) f(x)<x+4

f(x)>-x-3

f(x)<5

[tex]ANSWER: (-3,4)[/tex]

2)2.5>0+2

2.5<0+3

2.5<0+5

[tex]ANSWER: (0,2.5)[/tex]

----------------------------

HOPE IT HELPS

HAVE A GREAT DAY!!

El resultado de 3^2∙3^2 es:

Answers

Answer:

3^2 x 3^2 = 81

3^2 = 3 x 3 = 9

9 x 9 = 81

Answer:

[tex]3^{2} \times3^{2}[/tex]

[tex]3^{2+2}[/tex][tex]3^{4}[/tex][tex]3x^{4} =81[/tex]

[tex]Answer: 81[/tex]

------------------------

hope it helps...

have a great day!!

​When CP = Rs 1250 and SP = Rs 1500, find profit or loss percent ?

Answers

Answer:

profit=20%

Step-by-step explanation:

profit%=sp-cp/cp×100%

=1500-1250/1250×100

=250/1250×100

=20%


If you shift the quadratic parent function, f(x) = x2, right 10 units, what is the
equation of the new function?
A. g(x) = (x+ 10)
B. g(x) = x2 + 10
C. g(x) = (x - 102
D. g(x) = x2 - 10

Answers

Answer:

A.

Step-by-step explanation:

The equation of the new function is g(x) = f(x-10) = (x -10)²

What is graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

While adding to the input of a function moves the graph left, and subtracting from the input of a function moves the graph right.

If the quadratic parent function, f(x) = x² moves right 10 units,

Hence, the equation of the new function is g(x) = f(x-10) = (x -10)²

Learn more about graph here:

brainly.com/question/16608196

#SPJ2

helpppppppppppppppp//////////////////////////////////////////

Answers

Answer:

m(x)

Step-by-step explanation:

In right ΔDEF, DF = 20, m∠ F = 90˚, EF = 17. Which of the following is true? Does option 5 apply

Answers

Doesn’t apply because tan is TOA meaning opposite/adjacent so what happens is that your numbers 17 and 20 are divided nowhere having to do with a square root

If Wade has 2 times as many dimes as quarters and they have a combined value of 270 cents, how many of each coin does he have?

Answers

Answer:

Step-by-step explanation:

If he has twice the number of dimes as quarters, then obviously he has more dimes than quarters. The expression that represents that is

d = 2q

That relates the NUMBER of coins; now we need one that relates the VALUE which is a dollars and cents thing. We know that the combined value of the coins is $2.70. The expression that represents this is

.1d + .25q = 2.70 because dimes are worth .10 and quarters are worth .25

Subbing the first equation into the second gives us

.1(2q) + .25q = 2.70 and

.2q + .25q = 2.70 and

.45q = 2.70 so

q = 6

This means he has 6 quarters. If the umber of dimes is twice as much, then d = 2(6) and d = 12.

He has 6 quarters and 12 dimes

Marc puts 28 liters of water into a tub and 6 liters of water into a bucket. Then, he pours both containers into a tank.

Answers

What is the question asking for?

Answer:

34

Step-by-step explanation:

What is the answer?? I need help

Answers

Answer:

∠EFD

Step-by-step explanation:

Δ ABC similar ΔDEF

Trick is to keep the letters in the same order. A for D, B for E, and C for F

∠BCA

Where is the B?

second.

What's the second letter in other triangle?

E.

C is the third. F is the third in the other.

A is first. D is first.

Question 2 Multiple Choice Worth 1 points)
(01.06 MC)
If D is the midpoint of AB and AB = 15, what is AD?

Answers

Answer:

If D is the midpoint of the segment AB, then we have to find the measure of segment AD. Therefore, AD = 7.5 units will be the answer.

2.4x-15=1
3. 2y+3= -11
4.2y+7= -7
5. 3w+3=3

Answers

Answer:

2. x=4

3. y= -7

4. y = -7

5. w = 0

Step-by-step explanation:

2.

4x-15=1

4x=16

x=4

3.

2y+3= -11

2y=-14

y= -7

4.

2y+7= -7

2y = -14

y = -7

5.

3w+3=3

3w = 0

w = 0

2. x=4

step-by-step:
4x-15=1
4x=16 (add 15 to both sides)
x=4 (divide both sides by 4)

3. y=-7

step-by-step:
2y+3=-11
2y=-14 (subtract 3 from both sides)
y=-7 (divide both sides by 2)

4. y=-7

step-by-step:
2y+7=-7
2y=-14 (subtract 7 from both sides)
y=-7 (divide both sides by 2)

5. w=0

step-by-step:
3w+3=3
3w=0 (subtract 3 from both sides)
w=0 (divide both sides by 3)

hope this helps!

Please helpppp
Find h

Answers

Answer:

the square root of 85 (so 85 is the answer)

Step-by-step explanation:

You can use the pythagorean theorem to find the height. So the sides of the triangle would contain the radius (4/2 = 2) and 9.

so, 2 squared plus 9 squared = 85

I hope this helps!

Factor 2x^2 +15x +25 = 0​

Answers

Answer:

Step-by-step explanation:

(2x + 5)(x + 5) = 0

2x + 5 = 0

2x = - 5

x = -5/2

x + 5 = 0

x = -5

The polynomial P is graphed.
What is the remainder when P(x) is divided by (x+1)?
(image should be attached somewhere)

Answers

Answer:

The remainder will be 3.

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) divided by a binomial in the form (x - a), then the remainder will be given by P(a).

Our polynomial P(x) is given by the graph, and we are dividing it by the binomial (x + 1).

We can rewrite the binomial as (x - (-1)).

Therefore, a = -1.

Then the remainder will be P(-1).

Looking at the graph, we can see that P(-1) = 3.

Thus, the remainder when P(x) is divided by (x + 1) is 3.

Answer:

The remainder is 3 :)

Step-by-step explanation:

please mark me as brainliest

Which value of w ww makes 14 = 11 + w 8 ⋅ 6 14=11+ 8 w ​ ⋅614, equals, 11, plus, start fraction, w, divided by, 8, end fraction, dot, 6 a tru

Answers

Answer:

w=4

Step-by-step explanation:

Your plane leaves Boston (Eastern Standard Time) at 7:00am, bound for Los Angeles (Pacific Standard Time). The flight takes 5 hours. What is time when you arrive in Los Angeles

Answers

Answer:

The plane arrives Los Angeles at 9:00 am

Step-by-step explanation:

The Pacific Standard Time (PST) in Los Angeles is 3 hours earlier than the Eastern Standard Time (EST) in Boston

Therefore,

7:00 am at Boston = 4:00 am in Los Angeles

If the plane takes 5 hours

What is time when you arrive in Los Angeles

The plane arrives Los Angeles at 4:00 am + 5:00 hours

= 9:00 am

The plane arrives Los Angeles at 9:00 am

Find mCFB

Help me please

Answers

Answer:

A

Step-by-step explanation:

<CPA = 50o                     Given

<FPB = 50o                      Vertically opposite a 50 degree angle

<CPF = 90o                      Given

<CPB = <FPB + <CPF       Given or found

<CPB = 50 + 90                Substitute

<CPB = 140o

Y=2/7 -7 y=-x+2 What is the solution for this system of equations?​

Answers

Answer:

(61/7, -47/7)

Step-by-step explanation:

Given: y=2/7 -7

           y=-x+2

Rewrite the top equation ( y=2/7 -7

y = -47/7

y = -x + 2

Because both equations are equal to y, we can rewrite it again.

-47/7 = -x + 2

Add x to both sides

x + (-47/7) = 2

Add 47/7 to both sides.

x = 47/7 + 2/1

x = 61/7

As stated in the beginning, y is equal to -47/7

Hope you understand!

Solve for x and y:
x – 3y = -8
3x + 2y = 31
Select one:
O a. (-11,-1)
O b. (11,1)
o c. (5,8)
O d. (7,5)

Answers

Answer:

O d. (7,5)

Step-by-step explanation:

x – 3y = -8 (1)

3x + 2y = 31 (2)

From (1)

x = -8 + 3y

Substitute x = -8 + 3y into (2)

3x + 2y = 31 (2)

3(-8 + 3y) + 2y = 31

-24 + 9y + 2y = 31

-24 + 11y = 31

11y = 31 + 24

11y = 55

y = 55/11

y = 5

Substitute y = 5 into (1)

x – 3y = -8 (1)

x - 3(5) = -8

x - 15 = -8

x = -8 + 15

x = 7

(x, y) = (7, 5)

Can someone help me with this math homework please!

Answers

Answer:

12

Step-by-step explanation:

Given

[tex]\frac{1}{2}[/tex] x - [tex]\frac{5}{4}[/tex] + 2x = [tex]\frac{5}{6}[/tex] + x

Multiply through by 12 ( the LCM of 2, 4, 6 ) to clear the fractions

6x - 15 + 24x = 10 + 12x

Answer:

12

Step-by-step explanation:

[tex]12( \frac{1}{2}x - \frac{5}{4} +2x= \frac{5}{6} + x)[/tex]

6x-15+24x=10+12x

PLEASE HELP ASAP WHAT IS THE ANSWER TO THIS QUADRATIC EQUATIONNNN

Answers

Answer:

pls i don't know

The answer is A. 2

This is because the stretch of the parabola is elongated by 2!

Please help i have exam tom. ​

Answers

Answer:

Step-by-step explanation:

this is a simultaneous equation question

f(1)=8  so  a(1) + b = 8

f(4)=17 so a(4) + b = 17

can you figure this out from here ???

if you can't below is how to solve it

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a + b = 8

4a+b=17

multiply the top equation by 4 and then subtract the bottom one from the top

4a+4b = 32

-(4a +b = 17)

3b = 15

b=5

now plug 5 into the first equation

a + 5 = 8

a=3

there you go :)

Find the area of a circle with radius, R = 6.37m.
Give your answer rounded to 2 DP

Answers

Answer:

A = 127.48 rounded

Step-by-step explanation:

Area of a circle:  

A = [tex]\pi r^{2}[/tex]

A = [tex]\pi[/tex][tex](6.37)^{2}[/tex]

A = 127.48 rounded

Answer:

It's 127.47

First we take the radius and square it

6.37^2

then we multiply it by pi

40.5769 x π = 127.47

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