The first step for deriving the quadratic formula from the quadratic equation, 0 = ax^2 + bx + c, is shown.

Step 1: –c = ax^2 + bx

Which best explains or justifies Step 1?

subtraction property of equality
completing the square
factoring out the constant
zero property of multiplication

Answer:

how many

Step-by-step explanation:

Answer:

x < 6

Step-by-step explanation:

1) -5x > -30

2) divide both sides by -5

3) flip the sign as we divided inequality by a negative

4) x < 6

Answer:

  20.5 years

Step-by-step explanation:

The population is given by the exponential function ...

  p = 16000·(1 +0.022)^t

When p = 25000, we can find the value of t by taking logarithms.

  log(25000/16000) = t·log(1.022) . . . . . divide by 16000, take the log

  t = log(25/16)/log(1.022) ≈ 20.5 . . . . . . divide by the coefficient of t

It will take about 20.5 years for the population to reach 25000.

Answer:

no

Step-by-step explanation:

If it represented a function then it wouldn't be curved. curved lines don't represent a function

Answer:

m = [tex]\frac{-421}{6}[/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

x

Step 1: Simplify both sides of the equation.

3m+3m=−7−12−18−(16)x(24)

3m+3m=−7+−12+−18+(−384)

(3m+3m)=(−7+−12+−18+(−384))(Combine Like Terms)

6m=−421

6m=−421

Step 2: Divide both sides by 6.

[tex]\frac{6m}{6} =\frac{-421}{6}[/tex]

m = [tex]\frac{-421}{6}[/tex]

Answer:

Factored form: [tex](x-3)(x+1)(x^2+9)[/tex]

Expanded form: [tex]x^4-2x^3+6x^2-18x-27[/tex]

Step-by-step explanation:

[tex](x-3)(x+1)(x^2+9)[/tex]

[tex](x^2-2x-3)(x^2+9)[/tex]

[tex]x^4+9x^2-2x^3-18x-3x^2-27[/tex]

[tex]x^4-2x^3+6x^2-18x-27[/tex]

[tex]x-3=0[/tex] has a solution of [tex]x=3[/tex]

[tex]x+1=0[/tex] has a solution of [tex]x=-1[/tex]

[tex]x^2+9=0[/tex] has a solution of [tex]x=\pm 3i[/tex]

Answer:

A

Step-by-step explanation:

d1 = 5.9 km

d2 = 4.9 km

d_av = (5.9 + 4.9)/2 = 10.8/2 = 5.4 km I think that's A

Answer:

2nd option

Step-by-step explanation:

The standard form of an exponential function is

y = a[tex]b^{x}[/tex]

Use points on the graph to find a and b

Using (0, 5 ) , then

5 = a[tex]b^{0}[/tex] = a

Then

y = 5[tex]b^{x}[/tex]

Using (1, 2 )

2 = 5[tex]b^{1}[/tex] = 5b ( divide both sides by 5 )

[tex]\frac{2}{5}[/tex] = b

Thus

f(x) = 5[tex](\frac{2}{5}) ^{x}[/tex] ← equation of graph

Answer:

11m + 4n

Step-by-step explanation:

when two numbers with the same variable are added together or subtracted the result is just the numbers added or subtracted. So you can add 6m and 5m to get 11m. and you can subtract 3n from 7n to get 4n

11m + 4n

Answer:

1.5

Step-by-step explanation:

6/4

Answer:

is equal to 0

Step-by-step explanation:

points Lang habol

Answer:

25.93%

Step-by-step explanation:

Percent change formula is [tex]\frac{(V_2-V_1)}{|V_1|}[/tex]x 100

v2 = value 2

v1 = Value 1

now you substitute in.

[tex]\frac{68-54}{|54|}[/tex]x 100

[tex]\frac{14}{54}[/tex]x100

0.259259x100

= 25.9259% or 25.93%

Answer:

4+6i

Step-by-step explanation:

Distribute the 2 to the 3i

You get 6i, you can't add 4 to 6i because 4 is real and 6i is imaginary.

It's a complex imaginary number

Real

[tex]\\ \sf\longmapsto 4+3i^2[/tex]

[tex]\\ \sf\longmapsto 4+3(-1)[/tex]

[tex]\\ \sf\longmapsto 4-3[/tex]

[tex]\\ \sf\longmapsto 1[/tex]

Answer:

g(5) = -1

Step-by-step explanation:

g(5)= -(5)+4

g(5)= -1

Answer:

-1

Hope you could get an idea from here.

Doubt clarification - use comment section.

꧁TheoriesMadeTheWorld꧂

Answer:

7743 :)

Step-by-step explanation:

Answer:

m=n+4b:- b=m-n/4.........

Answer: 2 wins to 1 loss

Step-by-step explanation:

Step-by-step explanation:

D = 200m T = 25s

The formula for speed is speed = distance ÷ time

S = 200 ÷ 25

S = 8m/s

Answer:

x=1.5

Step-by-step explanation:

Answer:

Y= 0

Step-by-step explanation:

Answer:

the coordinates of B are; (7,3)

The resulting expression from the factorization of 26r³s + 52r^(5) - 39r²s⁴ is; 13r²(2rs + 4r³ - 3s⁴)

We want to factor the algebraic expression;

26r³s + 52r^(5) - 39r²s⁴

Now, we need to first find the highest common factor here and factorize out.

First of all for the letters;

The highest common factor of the letters is r²

Factors of 26 = 1, 2, 13, 26

Factors of 39 = 1, 3, 13, 39

Factors of 52 = 1, 2, 4, 13, 26, 52

The highest common factor for the 3 numbers is 13.

Thus,in total, the highest common factor for the algebraic expression is 13r².

Finally, we have;

13r²(2rs + 4r³ - 3s⁴)

Read more about factorization of algebraic expression at; https://brainly.com/question/11434122

Answer:

y = -1/3x - 5

Introduction:

The slope intercept form of a line is y = mx + b. Now, let's start out by solving the slope.

Step-by step explanation:

Since we have found the slope, let's find the y-intercept to create our equation.

Conclusion:

Therefore, our new equation is y = -1/3x - 5

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

c it's probably c I think I'm not really too good at this but I'm probably sure it's c.

Answer:

F

Step-by-step explanation:

Answer:

  F

Step-by-step explanation:

You only need to read as far as ...

  y ≤

to choose the correct graph. The values in the solution will be less than or equal to those on the boundary line. That means the graph will be shaded below the line, and the line will be solid (because it is part of the solution).

The graph with a solid line and shading below is graph F.

Answer:

8cups

Step-by-step explanation:

if it takes 4-cups for 4-dozen. That's 1-cup each dozen so 8-dozen is 8-cups