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pentagon [3]
3 years ago
5

Find the solution(s), if any, of the given equation using quadratic formula: 6x2 – 30x = 36

Mathematics
1 answer:
xenn [34]3 years ago
5 0

Answer:

x = 6 and x = -1.

Step-by-step explanation:

The given equation is :

6x^2-30x=36\\\\6x^2-30x-36=0\\\\or\\\\x^2-5x-6=0

We can solve it using the middle term splitting method.

x^2-(6x-x)-6=0\\\\x^2-6x+x-6=0\\\\x(x-6)+1(x-6)=0\\\\(x-6)=0\ and\ (x+1)=0\\\\x=6\ and\ x=-1

So, the solutions are x = 6 and x = -1.

You might be interested in
What are the first three terms of a geometric sequence in which as = 25 and the common ratio is 5?
marin [14]

Answer:

The first three terms are: 25, 125 and 625

Step-by-step explanation:

Given

a =25; r = 5

Required

The first three terms

The nth term of a geometry progression is:

T_n =ar^{n-1

So, we have:

First term: n = 1

T_n =ar^{n-1

T_1 =25 * 5^{1-1

T_1 =25 * 5^0

T_1 =25 * 1

T_1 =25

Second term: n = 2

T_n =ar^{n-1

T_2 =25 * 5^{2-1

T_2 =25 * 5^{1

T_2 =25 * 5

T_2 =125

Third term: n = 3

T_n =ar^{n-1

T_3 =25 * 5^{3-1

T_3 =25 * 5^{2

T_3 =25 * 25

T_3 =625

7 0
3 years ago
I will give brainliest
OleMash [197]
B is the answer that I got
5 0
3 years ago
Given f(x) = x + 9 and g(x) = x2 find (gºf)(x).
marissa [1.9K]

Answer:

g(f(x)) = (x + 9)^2 or x^2 + 18x + 81

Step-by-step explanation:

(gºf)(x) is the "c .... " of two functions f(x) and g(x):  f(x) is the input to g(x).

We start with g(x):  g(x) = x^2.  We replace the first x with f(x) and the second x with x + 9:

g(f(x)) = (x + 9)^2 or x^2 + 18x + 81

8 0
4 years ago
I need help with this problem
jonny [76]

Answer:

Perimeter expression: 3x-3+3x+x+4

Area expression: ( (3x-3)*(x+4) ) / 2

X= 5

Step-by-step explanation:

Perimeter is all the sides added together.

Area is base times height divided by 2

If perimeter is equal to 36 set the perimeter equation to 36 and solve for x.

4 0
3 years ago
If 3 times a number is decreased by 12, the result is 5
Nadusha1986 [10]
3 times a # (# isn't specified, so you should use a variable): 3x
result is 5: =5
Put it all together: 3x=5
6 0
3 years ago
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