All categories

2 years ago

Solve the inequality for x, assuming that a, b, and c are positive constants.

1 answer:

4 0

A(bx − c) ≥ bc, implies (bx − c) ≥ bc /a and then bx ≥ bc/a + c, x<span>≥ c/a +c/b
so the solution is </span><span>3. [c/a + c/b, infinity)</span>

You might be interested in

The ratio of boys to girls at a school dance is shown in the graph. Which equation has a greater rate of change than the rate sh

Marianna [84]

Answer:

y = 2/3x

Step-by-step explanation:

The graph shows a rise of 1 for a run of 4, so its slope is ...

rise/run = 1/4

The equation with a greater rate of change is the one with an x-coefficient greater than 1/4. That one is ...

y = 2/3x

3 0

2 years ago

Mia records the distance traveled in x minutes in the table below, while Alexa uses a graph to record her distance traveled over

xenn [34]

Answer:

Number 1

Step-by-step explanation:

Because she travels quicker and he line is 3/4

5 0

2 years ago

Read 2 more answers

It costs dylan $x$ dollars to buy $3$ tickets to the zoo. he discovers that if he were to buy $5$ tickets, he would receive a to

jonny [76]

So, if Dylan has x dollars and he bought 3 tickets with them, the tickets were priced at k dollars per ticket. If he bought 5 tickets with the x dollars and saved 12 total dollars, it would be the same as buying the tickets with x-12 dollars, so we have:

$\frac{x}{3}=k\\ \frac{x-12}{5}=q$

So, with this we have:

$x=3k\\ x=5q+12$

If we're looking for a number that satisfies these constraints, we can work with modular arithmetic. We have:

$x\equiv 0 \pmod{3}\\ x\equiv 12 \pmod{5}$

So, we can use the chinese remainder theorem here. So, we clearly have x=3k, which means:

$3k\equiv12 \pmod{5} \implies\\ k \equiv 4 \pmod{5} \implies\\ k=5j+4$

So, since we have x=3k, we also have x=3(5j+4)=15j+12.

So, clearly j=0 won't work so we should have j=1. That means our money per ticket for the five tickets is:

$\frac{27-12}{5}=3$

And our money per three tickets is:

$\frac{27}{3}=9$

This is easily verifiable. Three tickets needs 27 dollars and 5 tickets needs 15 dollars, which is 12 less than 27 dollars. So we have our money per three dollar ticket at 6 more than money per five dollar.

4 0

2 years ago

Read 2 more answers

Are the following statements true or false? 1. If F⃗ is a vector field in 3-dimensional space, and W is a solid region with boun

Masteriza [31]

Answer:

Step-by-step explanation:

1) True. This is because the divergence of F is 1, thus, F is a linear function. Orientation is given outward to the surface. Linear function double integrated over a surface with outward orientation gives volume enclosed by the surface.

2) True. This is primarily what the Divergence theorem is.

3) False. If F was 3/pi instead of div(F), then the statement would have been true.

4) False. The gradient of divergence can be anything. The curl of divergence of a vector function is 0, not the gradient o divergence.

5) False. While finding Divergence, derivatives are taken for different variables. Since the derivatives of constants are 0, therefore, both the vector functions F and G can be different constant parts of there components even if their divergences are equal.

8 0

2 years ago

Chris spent half of his money on a pair of headphones. Then he spends half of his remaining money of recordable CDs. Finally, he

otez555 [7]

I think the answer would be $50.50

4 0

2 years ago

Read 2 more answers