X^2+12x=-35
Solve the quadratic by factoring

Step-by-step explanation:

x² + 12x = -35

x² + 12x + 35 = 0

(x + 5) (x + 7) = 0

x = -5 or -7

The values of x are -5 and - 7

Step-by-step explanation:

x^2 + 12x = -35

Equate to zero

x^2 + 12x + 35 = 0

Finding the factors that will be multiplied to give +35x^2 and added to give +12x

Use + 7 and + 5

Substitute 7x + 5x for 12x in the equation

x^2 + 7x + 5x + 35 = 0

Separate using brackets

( x^2 + 7x) + ( 5x + 35) = 0

x( x + 7) + 5(x + 7) = 0

( x + 5)(x + 7) = 0

Equating each bracket to zero

( x + 5) = 0

x + 5 = 0

x = -5

( x + 7) = 0

x + 7 = 0

x = -7

The values of x are -5 and - 7

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week

the answer is z7+8/5