Please help! This is hard. Its number 2.

Answer:

[tex]k(x)=(x-4)(x+6)[/tex]

Step-by-step explanation:

[tex]k(x)=(x+1)^2-25\\\\[/tex]

to factorize it you have to remember the difference of squares that says

[tex]a^2-b^2=(a-b)(a+b)[/tex]

so we have

[tex](x+1)^2\\\\(x+1)^2=a^2\\\\25\longrightarrow 5^2\\\\5^2=b^2\\\\[/tex]

and we apply the formula

[tex](x+1)^2-25=[(x+1)-5][(x+1)+5]\\\\=(x+1-5)(x+1+5)\\\\=(x-4)(x+6)[/tex]

so there you have it

[tex]k(x)=(x-4)(x+6)[/tex]

Answer:

A number line with a closed circle on 6 and shaded to the right.

Step-by-step explanation:

Answer:a number line with a closed circle on 6 and shading to the right

Step-by-step explanation:I think I’m right! Good luck

Answer:

-140 = x

Step-by-step explanation:

Answer:

-140 =x

Step-by-step explanation:

Answer:

111

Step-by-step explanation:

Answer:

111

Step-by-step explanation:

Answer:

x = 7/12

Step-by-step explanation:

Write the expression in exponential form with the base of 2

[tex]2x^{3x-3}[/tex]  = [tex]32^{3x-2}[/tex]

[tex]2^{3x-3}[/tex]  = [tex]2^{15x-10}[/tex]

Since the bases are the same, set the exponents equal

x - 3 = 15 - 10

Move variable to the left-hand side and change its sign

3x - 15x - 3 = -10

Move constant the the right-hand side and change its sign

3x - 15x = -10 + 3

Collect like terms

-12x = -10 + 3

Calculate the sum

-12x = -7

Divide both sides o the equation by -12

x = 7/12

Solution

7/12

Alternate form

x = 0.583

Answer:

Amy and John both run 3 meters in 1 second

Step-by-step explanation:

Amy: 150/50=3 meters in 1 second

John: 1200/400=3 meters in 1 second

Answer:

x = 4

y = 1

Step-by-step explanation:

At first, let us find the third angle in the triangle which has a right angle and an acute angle of measure 52°

∵ The sum of the interior angles of a triangle is 180°

∴ 52° + 90° + (6x + 14y)° = 180°

→ Add the like terms

∴ 142° + (6x + 14y) = 180°

→ Subtract 142° from both sides

∴ (6x + 14y)° = 38° ⇒ (1)

→ By using the two triangles

∵ The two triangles are congruent

∴ (15x - 8y) = 52° ⇒ (2)

Now we have a system of equations to solve it

→ Multiply equation (1) by 5 and equation (2) by -2 to make the

   coefficients of x equal in values and different in signs

∵ 5(6x + 14y) = 5(38)

∴ 30x + 70y = 190 ⇒ (3)

∵ -2(15x - 8y) = -2(52)

∴ -30x + 16y = -104 ⇒ (4)

→ Add equations (3) and (4) to eliminate x

∵ 86y = 86

→ Divide both sides by 86 to find y

∴ y = 1

→ Substitute the value of y in equation (1) to find x

∵ 6x + 14(1) = 38

∴ 6x + 14 = 38

→ Subtract 14 from both sides

∴ 6x = 24

→ Divide both sides by 6

∴ x = 4

Answer:

is that even a real equation?

Answer:

ok what is it

Step-by-step explanation:

Answer:

9/28

Step-by-step explanation:

just divide by 2

Answer: 9/28

Steps: 18/56

Factor the number:  8 = 2 · 9

Factor the number:  56 = 2 · 28

Cancel the common factor: 2

9/28

Plz mark brainliest:)

Answer:

y=-1/2x+3

Step-by-step explanation:

Answer:

1= -25

2=  22

3= 0

4= -34.5

Answer:

1 negative

2 positive

3 zero

4 negative

Step-by-step explanation:

Hope this helps :D

Answer:

The stock is worth $702.5.

Step-by-step explanation:

Giving the following information:

Present Value= $500

Number of periods  (n)= 3 years

Growth rate (i)= 12%

To calculate the value of the stock today, we need to use the following formula:

FV= PV*(1+i)^n

FV= 500*(1.12^3)

FV= $702.5

The stock is worth $702.5.

Answer:

x=11

Step-by-step explanation:

-5x=-4x-11

-5x+4x=-11

-x=-11

x=11

Answer:

It will take her about 25 minutes.

Step-by-step explanation:

30 divided by 3 is ten.

It takes ten minutes to run each miles.

I don't have a diagram, but try drawing a graph with the information.  

infinitely many solutions

Hi there !

3(y - 2) = 3y - 6

3y - 6 = 3y - 6 | + 6

3y = 3y

true ∀ y ∈ R

Good luck  !

Answer:

36 is the lcm of this question

9514 1404 393

Answer:

Step-by-step explanation:

1) Each of the ratios can be reduced to 1 : 5, Since both can be reduced to the same ratio, the do form a proportion.

  4 : 20 = 1 : 5

  6 : 30 = 1 : 5

__

2) The first ratio can be reduced to 1/2. The second ratio is not 1/2 and cannot be reduced. Since they are different ratios, they do not form a proportion.

  9/18 = 1/2

  3/8 = 3/8

Answer:766 people on average because 275,760 divided 360 because 365=1 year 365-5=360 and 275760/360=766

Step-by-step explanation:

Answer:

- 0.000105156(x - 50)² + 0.64008

Step-by-step explanation:

Given the curve function model : -0.000345(x - 50)² + 2.1 ; Which is measured in feets :

To convert the curve model in feets to metres +, using the function :

m(x) = 0.3048x

Multiply m(x) by r(x)

Hence,

m(r(x)) = 0.3048(-0.000345(x - 50)² + 2.1)

m(x) = - 0.000105156(x - 50)² + 0.64008 ; measured in meters

Answer:

$4.20

Step-by-step explanation:

0.15 x $28.00=$4.20.

Answer:

y=3/2x+1

Step-by-step explanation:

y=mx+b is the slope-intercept form

y=3/2x+b

we are looking for b now

plug in the points you provided

2=x, 4=y

4=3/2(2)+b

4=3+b

b=1 which is the intercept

Answer:

A

Step-by-step explanation:

Hope this helps!!!!!!!!!!!!!!!!!!:)

Answer:

is it C OR A

Step-by-step explanation:

Answer:

a. 70,000

b. 24,000,000

c. 3,600,000

Step-by-step explanation:

You round all the numbers and multiply the rounded numbers.

So...

a. 656 = 700

106 = 100

7000*100= 70,000

b. 3108 = 3000

7942 = 8000

3000*8000= 24,000,000

c. 425 = 400

9311 = 9000

400*9000= 3,600,000

Answer: we cant use any patterns

Step-by-step explanation:

Answer:

5/8

Step-by-step explanation:

I used the slope formula of y2-y1/x2-x1

Answer:

Step-by-step explanation:

time taken to reach the max height is expressed according to the projectile equation;

tmax = u/g

Given u = 30m/s

g is the acceleration due to gravity = 9.81

t = 30/9.81

t = 3.0secs

hence it will take the flare 3.06secs to reach its maximum height.

Max height = u²/2g

Max height = 30²/2(9.81)

Max height = 900/19.62

Max height = 45.87m

If the people set off an emergency flare from a height of 2 meters above the water, the total height will be 45.87 + 2 = 47.87m

Answer:

2

Step-by-step explanation:

Answer:

Hello

Step-by-step explanation:

The awnser to your question is 2