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murzikaleks [220]
3 years ago
7

What are the domain restrictions of the function f(x) = the quantity of x squared plus 6x plus 9, all over 3x plus 15.

Mathematics
1 answer:
dangina [55]3 years ago
6 0

Answer:

x = - 5

Step-by-step explanation:

Given

f(x) = \frac{x^2+6x+9}{3x+15}

The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.

solve : 3x + 15 = 0 ⇒ 3x = - 15 ⇒ x = - 5 ← excluded value

Domain x ∈ R , x ≠ - 5

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22. Solve the system
DaniilM [7]
Equation 1)  x + 6y = 2
Equation 2)  5x + 4y = 36

Multiply all of equation 1 by 5.

1)  5(x + 6y = 2)

Simplify.

1)  5x + 30y = 10
2)  5x + 4y = 36

Subtract equations from one another.

26y = -26

Divide both sides by 26.

y = -1

Plug in -1 for y in the first equation.

x + 6y = 2

x + 6(-1) = 2

Simplify.

x - 6 = 2

Add 6 to both sides.

x = 8

D : (8, -1)

~Hope I helped!~
8 0
2 years ago
Name.<br> Solve using <br> Substitution <br> L<br> y = 3x + 2<br> 6x - 2y = 8
masya89 [10]

Answer:

No solution

Step-by-step explanation:

There is no solution to the system of equations y=3x+2 and 6x-2y=8, meaning that they are parallel to each other on a graph, with no points ever intersecting on each other's lines.

6 0
2 years ago
(Which is the simplified form of the expression ? 3(7/5x+4)-2(3/2-5/4x)
Illusion [34]

Answer:

let's see what to do buddy....

Step-by-step explanation:

3( \frac{7}{5}x + 4) - 2( \frac{3}{2} -  \frac{5}{4}x) \\  \\  =  \frac{21}{5}x + 12  - 3 +  \frac{5}{2}x \\  \\  =  \frac{(21 \times 2) + (5 \times 5)}{10}  x + 9 =  \\  \\  \frac{42 + 25}{10} x + 9 =  \frac{67}{10}x + 9 = 6.7x + 9

5 0
2 years ago
I need help is due in 15 minute he’ll pls
aleksley [76]

Answer:

3x - 2 = 4(2x-8)

3x- 2 = 8x- 32

3x-8x = -32+2

-5x = -30

x = -30/-5

x = 6

7 0
3 years ago
What if the value of x? show all work
alina1380 [7]
For this case we can make use of the Pythagorean theorem.
 We have then:
 (root (117)) ^ 2 = x ^ 2 + 6 ^ 2
 Clearing x we have:
 x ^ 2 = (root (117)) ^ 2 - 6 ^ 2
 Rewriting:
 x = root (117-36)
 x = root (81)
 x = 9
 Answer:
 
The value of x is given by:
 
x = 9 cm
4 0
3 years ago
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