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Alborosie
3 years ago
7

Rewrite the equation by completing the square.

Mathematics
1 answer:
pashok25 [27]3 years ago
5 0

Answer:

f(x)= (x-5)(x+6)

Step-by-step explanation:

First, we find the factors of -30 that add up to +1

We can use 6 and -5

6+(-5)=1

f(x)= x^2+6x - 5x-30

then, we do group factorization

f(x)= x(x+6)- 5(x+6)

f(x)= (x-5)(x+6)

i hope this helps <3

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El sueldo de un padre de familia es de $4,500. ¿Cuánto es su sueldo si le aumentan un 4%?
lesya [120]

Answer:

el nuevo salario es 4680

Step-by-step explanation:

Dado

Salario = 4.500

Incremento = 4%

Necesario

Determinar el nuevo salario

El nuevo salario se calcula utilizando lo siguiente:

Nuevo salario = salario anterior + 4% * salario anterior

Nuevo salario = 4500 + 4% * 4500

Nuevo salario = 4500 + 180

Nuevo salario = 4680

Por lo tanto, el nuevo salario es 4680

6 0
3 years ago
you have a party and 5 dozen people will be coming if you figure 2 ears of corn per person how many ears of corn will you need
torisob [31]
A dozen is 12 so 12 • 5 = 60
2 ears of corn per person would be 120 not counting you, counting you it would be 122

Hope this helped.
5 0
3 years ago
|x+6| ≤ 8<br> Find the solution set?
sdas [7]
<h3>Answer:  -14 ≤ x ≤ 2</h3>

Work Shown:

|x+6| ≤ 8

-8 ≤ x+6 ≤ 8

-8-6 ≤ x+6-6 ≤ 8-6

-14 ≤ x ≤ 2

6 0
1 year ago
Which expression is equivalent? −4(5x + 2)
iVinArrow [24]

-20x+2 is equivelent


7 0
3 years ago
Read 2 more answers
Consider the equation 6x+15=−3(ax−b), where a and b are real numbers. Which values for a and b will result in the equation havin
marin [14]
A=-2 and b=5.

To have an infinite number of solutions, the two sides must be identical.

6x+15=-3(ax-b)

Using the distributive property, 
6x+15=-3*ax--3*b
6x+15=-3ax+3b

This means -3ax=6x and 3b=15;
-3ax=6x

Divide both sides by -3:
-3ax/-3 = 6x/-3
ax=-2x

Divide both sides by x:
ax/x=-2x/x
a=-2

3b=15

Divide both sides by 3:
3b/3=15/3
b=5
3 0
3 years ago
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