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Greeley [361]
4 years ago
14

5x^2+ 23x + 12Factoring ​

Mathematics
1 answer:
lozanna [386]4 years ago
4 0

Answer:

(5 x+ 3)(x + 4)

Step-by-step explanation:

We want to factor

5 {x}^{2}  + 23x + 12

By comparing to

a {x}^{2}  + bx + c

We have a=5, b=23, c=12

ac=60

We split the middle term with 3x+20x, since 3×20=60

This implies that:

5 {x}^{2}  + 3x + 20x + 12

Factor by grouping;

x(5 x+ 3)+ 4(5x + 3)

We collect common factors again;

(5 x+ 3)(x + 4)

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3 years ago
12x+15y=34<br> -6x+5y=3<br> Find the solution of the system of equations
Arlecino [84]
Using substitution and graphing, I found that x=0.833 and y=1.6

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3 years ago
When two-fifths of a number is increased by 15 the result is 27. What is the number?
user100 [1]

Answer:

x = 30

Step-by-step explanation:

Let's set up an equation to represent this problem:

2/5 * x + 15 = 27

subtracting 15 from both sides,

2/5 * x = 12

Multiplying 5/2 to both sides,

5/2 * 2/5 * x = 12 * 5/2

1*x = 30

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7 0
3 years ago
Evaluate f(x) when x = 6.
BartSMP [9]

Answer:

f(x) = x-6

Step-by-step explanation:

Since x = 6, which is a positive number, the answer should be of f(x) = x-6.

When x = -6, which is a negative number, then the answer should be f(x) = x+6.

3 0
3 years ago
Read 2 more answers
Y varies directly with x. If x = 4 when y equals 26 find x when y = 65
Leto [7]
Y varies directly with x.
⇒ y = ky where k is a constant.

Given that x = 4 when y - 26,
26 = 4k
k = 6.5 

Therefore 
⇒ y = 6.5x

When y = 65,
65 = 6.5x
x = 10

Answer: x = 10
6 0
3 years ago
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