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3 years ago

What is the solution to the following equation? -50 = -5x - 3(5x + 15)

Mathematics

2 answers:

Oksanka [162]3 years ago

4 0

The answer is x= 1/4

Inessa [10]3 years ago

4 0

Answer:

Step-by-step explanation:

-50 = -5x - 3(5x + 15) {Use distributive rule}

-50 = -5x + 5x *(-3) + 15*(-3)

-50 = -5x - 15x - 45 {Combine like terms}

-50 = -20x - 45 {Add 45 to both sides}

-50 + 45 = -20x

-5 = -20x {Divide both sides by -20}

-5/-20 = x

1/4 = x

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Evaluate the expression, if x = 9, y = 3, and z = 5. z²(x - y)

EastWind [94]

The answer is 150.
(5)^2(9-3)
25(6)
=150

3 0

1 year ago

If g(x)= square root of 3-5x, find the domain of g'(x).

BaLLatris [955]

Answer:

domain: x>3/5

Step-by-step explanation:

First we need to derive our function g(x) to get a new function g'(x)

To do this we will have to apply chain rule because we have an inner and outer functions.

Our G(x) = square root(3-5x)

Chain rule formula states that: d/dx(g(f(x)) = g'(f(x))f'(x)

where d/dx(g(f(x)) = g'(x)

g(x) is the outer function which is x^1/2

f(x) is our inner function which is 3-5x

therefore f'(x)= 1/2x^(-1/2) and f'(x) = -5

g'(f(x)) = -1/2(3-5x)^(-1/2)

Applying chain rule then g'(x) = 1/2 (3-5x)^(-/1/2)*(-5)

But the domain is the values of x where the function g'(x) is not defined

In this case it will be 3-5x > 0, because 3-5x is a denominator and anything divide by zero is infinity/undefined

which gives us x >3/5

5 0

3 years ago

Read 2 more answers

PLEASE HELP!!!!!!!!! ASAP!!!!! I REWARD BRAINLIEST!!!! HAVE CLASS IN 30 MINUTES!1111

KiRa [710]

Answer:

$y = \dfrac{1}{3}x + 1$

Step-by-step explanation:

The given line is in slope-intercept form,

y = mx + b,

where m is the slope.

The slope of the given line is 1/3, so m = 1/3.

Parallel lines have equal slopes, so the slope of the parallel line is also 1/3.

y = 1/3 x + b

Now we can find the equation of the parallel line through point (6, 3) by using the given point's coordinates for x and y and solving for b.

3 = (1/3)(6) + b

3 = 2 + b

b = 1

Equation: $y = \dfrac{1}{3}x + 1$

8 0

3 years ago

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If eight trash bags last for thirty days then how many trash bags do you need for 180 days

34kurt

Let's Just See How Many Times 30 Goes Into 180

$\frac{180}{30} = 6$
Since 8 trash bags last 30 days, let's multiply

$6 \times 8 = 48 \: bags$
ANSWER

You'll Need 48 Trash Bags For 180 Days

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3 years ago

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Evaluate 12 x (4^-2/4^-4) A 1/4 B 3/4 C 16 D 192

MrMuchimi

12 ×4^4/4^2
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7 0

3 years ago