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4 years ago

5x + 3y = 35 -5x - y = -15

1 answer:

3 0

Solution 1: 5(x) + 3(y) = 35
Solution 2: -5(x) - (y) = -15
_____________________

Your graphic organizer↓
-5(y) + 5(x) = 35
(y) - 5(x) = -15
_____________________

Let's work with y-intercept with the absolute value of |2|
So, 15 becomes a positive number instead of a negative number
→So, (y) = -5(x) + 15
→Make sure you bring into the "x-intercept"& the "y-intercept" into the equation for the first solution
5(x) + 3(-5x) + 15 = 35
-10(x) = -10
10(x) = 10
x-intercept =1
y-intercept = 10
___________________________

Make sure that we are correct with intercepts by these quick steps!

y = -5(x) + 15
Y= 5(x) +15
y= 5(1) + 15 = 10
So, we are correct with the x and y-intercept
__________________________
$\left \{ {{x=1} \atop {y=10}} \right.$

x-intercept = 1
y-intercept = 10

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3 years ago

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bagirrra123 [75]

Question 1:

For this case we must find $(f_ {0} g) (4)$ knowing that:

$f (x) = 2x\\g (x) = \frac {1} {x-3}$

By definition we have that, be two functions f (x) and g (x), then the composite function of f with g is:

$(g_ {0} f) (x) = g [f (x)]$

In this case, they ask us for the function composed of g with f:

$(f_ {0} g) (x) = f [g (x)]$

So, we have:

$(f_ {0} g) (x) = 2 (\frac {1} {x-3})\\(f_ {0} g) (4) = 2 (\frac {1} {4-3})\\(f_ {0} g) (4) = 1$

ANswer:

$(f_ {0} g) (4) = 1$

Question 2:

For this case, we must find the inverse function of $g (x) = \frac {1} {x-3}$ , given by: $g ^ {- 1} (x)$

To do this, replace g(x) with y:

$y = \frac {1} {x-3}$

We exchange variables:

$x = \frac {1} {y-3}$

We solve for "y":

$y-3 = \frac {1} {x}\\y = \frac {1} {x} +3$

Replace "y" with $g ^ {-1} (x)$

So, we have:

$g ^ {- 1} (x) = \frac {1} {x} +3$

Answer:

$g ^ {- 1} (x) = \frac {1} {x} +3$

Question 3:

For this case, we have by definition, the domain of a function f (x), is the set of all the values for which the function is defined.

We must find the domain of the following function:

$g ^ {- 1} (x) = \frac {1} {x} +3$

It is observed that the function is not defined for $x = 0$

Then the domain is given by all the values of x, except 0.

${x | x \neq 0}$ for any integer n

Answer:

All numbers, except $x = 0$

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2 years ago

3 x + 5 x + 4 - x +7 = 88

Elza [17]

<span>3 x + 5 x + 4 - x +7 = 88

First, combine like terms.

7x + 11 = 88

Subtract 11 from both sides.

7x = 77

Divide both sides by 7.

x = 11</span>

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Answer:

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