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3 years ago

What is the solution?( no solution or all real numbers) -3(x-1) > -3x - 2.

Mathematics

1 answer:

Step2247 [10]3 years ago

6 0

Answer:

No solution

Step-by-step explanation:

So first we have to Distribute;

-3x + 3 > -3x - 2

This is an solution which means that they can never intersect on a graph.

We can solve further if you want;

Add 3x to both sides;

The x cancel themselves out.

3 > -2

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Find c.

Vinvika [58]

<h3>Answer: 0.5</h3>

========================================================

Explanation:

The ultimate goal is to find the value for lowercase c, or find the length of side c. So we'll use the portion sin(C)/c as part of the law of sines.

We don't know the value of lowercase 'a', so we'll ignore the sin(A)/a portion.

This leaves sin(B)/b

We see that one side is 2 cm long, so this means b = 2. The angle opposite this is 105 degrees, so B = 105.

The angle opposite side c is 15 degrees, so C = 15.

The lowercase letters represent side lengths, while the uppercase letters are angles.

--------------------------

We have enough to apply the law of sines to solve for side c.

sin(B)/b = sin(C)/c

sin(105)/2 = sin(15)/c

c*sin(105) = 2*sin(15) ............. cross multiply

c = 2*sin(15)/sin(105) .............. dividing both sides by sin(105)

c = 0.53589838486224

c = 0.5

Side c is roughly 0.5 cm long.

Make sure your calculator is in degree mode.

6 0

3 years ago

Read 2 more answers

For which equation is y = 7 a solution?

Natasha2012 [34]

Answer:B

Step-by-step explanation:

y - 26 = -19

y + 26 - 26 = -19 + 26

y=7

4 0

3 years ago

Read 2 more answers

given y>0 and dy/dx=(3x^2+4x)/yif the point (1,√10) is on the graph relating x and y, then what is y when x=0

jonny [76]

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{3x^2+4x}y\iff y\,\mathrm dy=(3x^2+4x)\,\mathrm dx$
$\implies\displaystyle\int y\,\mathrm dy=\int(3x^2+4x)\,\mathrm dx$
$\implies \dfrac12y^2=x^3+2x^2+C$

When $x=1$ you have $y=\sqrt{10}$ , so

$\dfrac12(\sqrt{10})^2=1^3+2(1)^2+C\implies 5=1+2+C\implies C=2$

and so the particular solution to the ODE is

$\dfrac12y^2=x^3+2x^2+2$

Then when $x=0$ , you get

$\dfrac12y^2=0^3+2(0)^2+2=2$
$\implies y^2=4$
$\implies y=2$

where we omitted the negative root because it's given that $y>0$ .

4 0

3 years ago

You want to buy a trampoline. You found one online that has a circumference of 6.28 yards. What is the area?

gizmo_the_mogwai [7]

The area of the trampoline is mathematically given as

a = 3.14

Question Parameters:

You found one online that has a circumference of 6.28 yards

Generally, the equation for the Circumference is mathematically given as

C = 2*pi*r

Thererfore

6.28 = 2*3.14*r

r = (6.28)/(6.28)

r = 1

In conclusion, where radius is

$a= pi*r^2$

a = 3.14*1^2

a = 3.14

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7 0

2 years ago

Read 2 more answers

Trevon’s school is selling tickets to a fall musical. On the first day of ticket sales the school sold 13 adult tickets and 12 s

julsineya [31]

9514 1404 393

Answer:

adult: $7
student: $10

Step-by-step explanation:

Let a and s represent the prices of adult and student tickets, respectively.

13a +12s = 211 . . . . . . ticket sales the first day

5a +3s = 65 . . . . . . . ticket sales the second day

Subtracting the first equation from 4 times the second gives ...

4(5a +3s) -(13a +12s) = 4(65) -(211)

7a = 49 . . . . . . . simplify

a = 7 . . . . . . . divide by 7

5(7) +3s = 65 . . . . substitute into the second equation

3s = 30 . . . . . . . subtract 35

s = 10 . . . . . . . divide by 3

The price of one adult ticket is $7; the price of one student ticket is $10.

7 0

3 years ago