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anzhelika [568]

2 years ago

10

What value of x is in the solution set of 3(x – 4) ≥ 5x 2? A) -10 B) -5 C) 5 D) 10

2 answers:

Flura [38]2 years ago

8 0

First, use the distributive property to expand the first equation.

3(x-4)=3*x+3*-4
=3x-12
Then we solve this as if it were an equation

3x-12≥5x+2
Minus 3x is
-12≥2x+2
Minus 2 is
-14≥2x

Which gets us that $x \leq 7$ (We had to flip the sign because we divided by a negative number).

You'll notice that this matches none of the choices, however, we are looking for the solution set, not the solution. In this case, it means any number that is less than 7. The correct answer is -10.
<em />:)

kirill115 [55]2 years ago

7 0

Answer:

-10

Step-by-step explanation:

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Arte-miy333 [17]

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6 0

1 year ago

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The average annual costs for owning two different refrigerators for x years is given by the two functions: f(x) = 850 + 62x /x a

Alex17521 [72]

Answer:

In the long run cost of the refrigerator g(x) will be cheaper.

Step-by-step explanation:

The average annual cost for owning two different refrigerators for x years is given by two functions

f(x) = $\frac{850+62x}{x}$

= $\frac{850}{x}+62$

and g(x) = $\frac{1004+51x}{x}$

= $\frac{1004}{x}+51$

If we equate these functions f(x) and g(x), value of x (time in years) will be the time by which the cost of the refrigerators will be equal.

At x = 1 year

f(1) = 850 + 62 = $912

g(1) = 1004 + 51 = $1055

So initially f(x) will be cheaper.

For f(x) = g(x)

$\frac{850}{x}+62$ = $\frac{1004}{x}+51$

$\frac{1004}{x}-\frac{850}{x}=1004-850$

$\frac{154}{x}=11$

x = $\frac{154}{11}=14$

Now f(15) = 56.67 + 62 = $118.67

and g(x) = 66.93 + 51 = $117.93

So g(x) will be cheaper than f(x) after 14 years.

This tells below 14 years f(x) will be less g(x) but after 14 years cost g(x) will be cheaper than f(x).

5 0

1 year ago

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Function f is a linear function with an initial value of 17 and a rate of change of –3. Some values for the linear function g ar

tia_tia [17]

Answer:

g(x) exceed f(x) by $10$ when $x=5$

Step-by-step explanation:

step 1

Find the equation of function f(x)

we know that

The initial value is the y-intercept of the linear function (value of y when the value of x is equal to zero)

so

$b=17$

The rate of change is equal to the slope

so

$m=-3$

therefore

$f(x)=-3x+17$

step 2

Find the equation of function g(x)

Let

$A(0,-8),B(2,0)$

Find the slope

$m=(0+8)/(2-0)=4$

$b=-8$ ----> point A

therefore

$g(x)=4x-8$

step 3

Find the value of f(x) and g(x) for $x=5$

$f(5)=-3(5)+17=2$

$g(5)=4(5)-8=12$

Find the difference

$g(5)-f(5)=12-2=10$

3 0

1 year ago

Find the CP of the following Sp=Rs 851 , Loss=8%

elena55 [62]

<h2> Heya </h2>

<h3>Selling Price = Rs. 851</h3>

<h3>Loss = 8%</h3>

<h3>FORMULA = 100/100 - LOSS % × SP</h3>

<h3>CP = 100/100 - 8 × 851</h3>

<h3> CP = 100/92 × 851</h3>

<h3> CP = Rs. 925</h3>

<h3>HOPE IT HELPS YOU.</h3>

8 0

1 year ago

Ryan conducted a 6-day study observing the effects of an organic plant food on the growth of his sprouting bean plant. He tracke

Zarrin [17]

Answer:

The relationship is a function because only one amount of plant food remains each day

Step-by-step explanation:

8 0

1 year ago

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