What is the equation of the line that passes through the points (-6,-7) and (6,3)

Answer:

it last 2 hours and 30 min

Step-by-step explanation:

Answer:

4, 3, -2 are the 3 roots of the function

Answer:

-2, 3 & 4

Step-by-step explanation:

The integer roots of the polynomial function f(x)=x^3-5x^2-2x+24f(x)=x

3

−5x

2

−2x+24 can be only among the divisors of free term.

The divisors of free term are:

\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm 8, \pm 12, \pm 24.±1,±2,±3, ±4,±6,±8,±12,±24.

Check them:

1. f(1)=1^3-5\cdot 1^2-2\cdot 1+24=18\neq 0f(1)=1

3

−5⋅1

2

−2⋅1+24=18



=0 , 1 is not a root.

2. f(-1)=(-1)^3-5\cdot (-1)^2-2\cdot (-1)+24=20\neq 0f(−1)=(−1)

3

−5⋅(−1)

2

−2⋅(−1)+24=20



=0 , -1 is not a root.

3. f(2)=2^3-5\cdot 2^2-2\cdot 2+24=8\neq 0f(2)=2

3

−5⋅2

2

−2⋅2+24=8



=0 , 2 is not a root.

4. f(-2)=(-2)^3-5\cdot (-2)^2-2\cdot (-2)+24=0f(−2)=(−2)

3

−5⋅(−2)

2

−2⋅(−2)+24=0 , -2 is a root.

5. f(3)=3^3-5\cdot 3^2-2\cdot 3+24=0f(3)=3

3

−5⋅3

2

−2⋅3+24=0 , 3 is a root.

6. f(-3)=(-3)^3-5\cdot (-3)^2-2\cdot (-3)+24=-42\neq 0f(−3)=(−3)

3

−5⋅(−3)

2

−2⋅(−3)+24=−42



=0 , -3 is not a root.

7. f(4)=4^3-5\cdot 4^2-2\cdot 4+24=0f(4)=4

3

−5⋅4

2

−2⋅4+24=0 , 4 is a root.

The cubic function has at most 3 roots, then

Answer: roots of the function are -2, 3 and 4.

Answer:

They sold 60 muffins and 60 cookies yesterday

It is a LCM problem

Step-by-step explanation:

6 muffins together

20 cookies together

To sell the same amount of muffins and cookies,

Find the lowest common multiple of 6 muffins and 20 cookies

6 muffins = 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78

20 cookies = 40, 60, 80

The lowest common multiple of 6 muffins and 20 cookies is 60

Therefore,

They sold 60 muffins and 60 cookies yesterday

It is a LCM problem

Answer:

x=3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5(x−1)+3=13

(5)(x)+(5)(−1)+3=13(Distribute)

5x+−5+3=13

(5x)+(−5+3)=13(Combine Like Terms)

5x+−2=13

5x−2=13

Step 2: Add 2 to both sides.

5x−2+2=13+2

5x=15

Step 3: Divide both sides by 5.

5x

5

=

15

5

x=3

Answer:

x=3

Answer:

x>3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x > 3

Interval Notation:

( 3 , ∞ )

Answer:

124<369

Step-by-step explanation:

Answer:

9/2

distribute the value of x,y, and z, on the given questions, and then you do multiplication, next addition, lastly lowest term.

Answer:

12.55 milliliters

Step-by-step explanation:

0.25+12.3=12.55

Good luck!

The  mixture contains 12.55 milliliters.

Two or more expressions with an Equal sign is called as Equation.

Given that For part of a science experiment, Andre adds 0.25 milliliters of dye to 12.3 milliliters of water.

we need to find the amount of  milliliters does the mixture contain.

Add twelve point three plus zero point two five.

12.3+0.25

 12.30

+  0.25

_______

12.55

Hence, the  mixture contains 12.55 milliliters.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ3

Answer:

i think its 7500

Step-by-step explanation:

Answer:

13.86

Step-by-step explanation:

(-2.2)(1.5)(-4.2) =

Use a calculator. Start with -2.2 * 1.5.

= (-3.3)(-4.2)

= 13.86

Answer:13.86

Step-by-step explanation:

((−2.2)(1.5))(−4.2)

=(−3.3)(−4.2)

=13.86

Answer:

7

Step-by-step explanation:

try substituting

crossmultyply

x=-9-y

substituting

-9-y=-25+9

y=16

substituting

pick one of the equations

x+y=-9

x-16=-9

x=-9+16

x=7

Answer:

45

Step-by-step explanation:

81° + a° + 2a° = 180°

81° + 3a = 180°

3a = 180 - 81

3a = 99°

a = 99 ÷ 3

a = 33°

Therefore , a = 33° .

Answer:

x = -10

Step-by-step explanation:

x/2 = -5

Multiply each side by 2

x/2 * 2 = -5 *2

x = -10

Answer:

3

Step-by-step explanation:

22=6c=4+12c

    -6c      -6c

22=4+6c

-4   -4

18=6c

/6   /6

3=c

Answer:

concrete jungles where dreams are made of

Step-by-step explanation:

Answer:

There is a common ratio of 2/3 between the height of the ball at each bounce. So, the bounce heights form a geometric sequence: 27, 18, 12. Two-thirds of 12 is 8, so on the fourth bounce, the ball will reach a height of 8 feet.

Step-by-step explanation:

Sample response :)

Answer:

a

Step-by-step explanation:

Answer:

5(y-10)=-5

5y-50=-5

5y=45

y=9

Step-by-step explanation:

distribute

add 50 to the other side and undo it from its original side

get the variable by itself by dividing 5 on both sides

then you have your answer

I hope this helps!

Answer:

9

Step-by-step explanation:

5(y-10)=5

divide both sides by 5

50-5=45

45 divided by 5 is 9

Answer:

c

Step-by-step explanation:

C

12 = x

12 times 12 = 144

Answer:

6/16n is your answer I think

Answer:

Step-by-step explanation:

Yes I would be glad to help you

Answer:

96 red

Step-by-step explanation:

96 red, 128 yellow; 3/4=.75; r+y=224; .75y+y=224; 1.75y=224; 224/1.75=128, 224-128=96

Answer: 120

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Step-by-step explanation:

-6a - 4(a - 3) = -6a + 15

=> -6a - 4a + 12 + 6a - 15 = 0

=> -4a - 3 = 0

=> -4a = 3

=> a = -3/4

Answer:

1 63636363 /1000000000

Step-by-step explanation:

Since it is 1. ..., it would be a mixed number with the 1 out front. There are 9 numbers after the decimal, making the denominator one billion, and then take the actual numbers (63) and make them the numerator.

Answer:

False

Step-by-step explanation:

Answer: true

Step-by-step explanation:

Answer:

[tex]x<-5\text{ or } x>1[/tex]

Step-by-step explanation:

We have:

[tex](x+5)(x-1)[/tex]

And we want to find the value of x such that the expression is positive. So, we can write this as the following inequality:

[tex](x+5)(x-1)>0[/tex]

Solve for the inequality. First, we can solve for the zeros like a normal quadratic. So, pretend the inequality is with an equal sign:

[tex](x+5)(x-1)=0[/tex]

Zero Product Property:

[tex]x+5=0\text{ or } x-1=0[/tex]

On the left, subtract 5.

On the right, add 1.

So, our zeros are:

[tex]x=-5, 1[/tex]

Since our inequality is a greater than, our answer is an "or" inequality with our answer being all the values to the left of our lesser zero and all the values to the right of our greater zero.

So, our solution is:

[tex]x<-5\text{ or } x>1[/tex]

And we're done!

Answer:

The regions where (x+5) (x-1) >0 is x< -5  or x>1

Step-by-step explanation:

(x+5) (x-1) >0

First find the zeros

(x+5) =0    x-1 =0

x= -5      x=1

We then have to check the regions

x< -5              -5 <x<1                  x>1

First x< -5

(x+5) (x-1)

X+5 will be negative  ( x-1) will be negative

(-) * (-) = +  so the values will be positive

Then     -5 <x<1      

X+5  will be positive   ( x-1) will be negative

( +) * (-)  will be negative

First x>1

(x+5) (x-1)

X+5 will be positive  ( x-1) will be positive

(+) * (+) = +  so the values will be positive

The regions where (x+5) (x-1) >0 is x< -5  or x>1