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3 years ago

9. Solve the equation. x + 4 = 3(3x - 4) A9 4 B 1 C 2 D7 4

Mathematics

2 answers:

Simora [160]3 years ago

6 0

Answer:

X=2

Step-by-step explanation:

16=8x

Flura [38]3 years ago

4 0

Answer:

$x = 2$

Step-by-step explanation:

$x + 4 = 3(3x - 4) \\ x + 4 = 9x - 12 \\ 4 + 12 = 9x - x \\ 16 = 8x \\ \frac{16}{8} = \frac{8x}{8} \\ x = 2$

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-4 + 3y = -43<br> what does y equal?

NeTakaya

Answer:

-13

Step-by-step explanation:

We remove the -4 by adding 4 to each side:

3y = -43 + 4

Now we simplify to give:

3y = -39

So now we divide both sides by 3 to give our answer of:

y = -39/3
y = -13
We can substitute this into the original equation to check our answer:

-4 + 3(-13) = -43

-4 + -39 = -43

✅

7 0

2 years ago

Read 2 more answers

Find an equation in rectangular coordinates for the spherical equation ρ = 7 csc ( ϕ ) csc ( θ )

irinina [24]

$\rho=7\csc\phi\csc\theta\implies\rho\sin\phi\sin\theta=7\iff y=7$

7 0

3 years ago

I don’t understand how to do this

schepotkina [342]

Answer:

The solution is $x =0.$

Step-by-step explanation:

The equation

$\bold{(1).}\: sin(\dfrac{3\pi }{2} +x)+sin(\dfrac{3\pi }{2} +x) =-2$

can be rewritten as

$2* sin(\dfrac{3\pi }{2} +2) =-2$

and can be further simplified to

$sin(\dfrac{3\pi }{2}+x ) =-1$ .

Now, taking the inverse sine of both sides we get:

$sin^{-1}(sin(\dfrac{3\pi }{2} +x) =sin^{-1}(-1)$

$\bold{(2).}\: \dfrac{3\pi }{2} +2 =sin^{-1}(-1)$

The value of the right side on the interval $[0,2\pi)$ is

$sin^{-1}(-1) = \dfrac{3\pi}{2} \: \:( \text{or }270^o)$ ,

which makes the equation (2)

$\dfrac{3\pi }{2}+x =\dfrac{3\pi}{2}$

solving for $x$ gives

$\boxed{x = 0}$

which is our solution.

4 0

3 years ago

For what values of $x$ is it true that $x^2 - 5x - 4 \le 10$? Express your answer in interval notation.

dybincka [34]

Answer:

x ∈ [-2, 7]

Step-by-step explanation:

The given equation ...

x^2 -5x -4 ≤ 10

can be rewritten as ...

x^2 -5x -14 ≤ 0

and factored as ...

(x +2)(x -7) ≤ 0

Clearly, the "or equal to" condition will be met when x=-2 and x=7. For values of x between these numbers, one factor is negative and the other is positive. Hence the product will be negative. So, numbers in that interval are the solution set.

x ∈ [-2, 7]

5 0

3 years ago

The amount of resistance, y, in a circuit varies inversely to the current, x, in the circuit. When 10 ohms of resistance are use

saveliy_v [14]

Let k be a constant of proportionality. We can use the given information to write two equations:
24 = k/5 and 12 = k/10.
Solving for k gives k = 120 in both cases.
Let R be the unknown resistance when the current is 15 amperes:
15 = 120/R.
R = 120/15
R = 8 ohms.

5 0

3 years ago