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KIM [24]
2 years ago
13

PLSSSSS HELPPPPP MEEE I WILL GIVE BRIANLIEST!!!

Mathematics
1 answer:
JulijaS [17]2 years ago
6 0

Answer:

84 students

Step-by-step explanation:

Ratio of 1 teacher : no. Of students

36 / 3 = 12

1 teacher = 12 students

12 * 7 = 84

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Solve y=f(x) for x. Then find the input when the output is -3.
DochEvi [55]

Answer:

Please check the explanation

Step-by-step explanation:

Given the function

f\left(x\right)\:=\:\left(x-5\right)^3-1

Given that the output = -3

i.e. y = -3

now substituting the value y=-3 and solve for x to determine the input 'x'

\:\:y=\:\left(x-5\right)^3-1

-3\:=\:\left(x-5\right)^3-1\:\:\:

switch sides

\left(x-5\right)^3-1=-3

Add 1 to both sides

\left(x-5\right)^3-1+1=-3+1

\left(x-5\right)^3=-2

\mathrm{For\:}g^3\left(x\right)=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt[3]{f\left(a\right)},\:\sqrt[3]{f\left(a\right)}\frac{-1-\sqrt{3}i}{2},\:\sqrt[3]{f\left(a\right)}\frac{-1+\sqrt{3}i}{2}

Thus, the input values are:

x=-\sqrt[3]{2}+5,\:x=\frac{\sqrt[3]{2}\left(1+5\cdot \:2^{\frac{2}{3}}\right)}{2}-i\frac{\sqrt[3]{2}\sqrt{3}}{2},\:x=\frac{\sqrt[3]{2}\left(1+5\cdot \:2^{\frac{2}{3}}\right)}{2}+i\frac{\sqrt[3]{2}\sqrt{3}}{2}

And the real input is:

x=-\sqrt[3]{2}+5

  • x=3.74
4 0
2 years ago
Evaluate 8x-6 when x=7
V125BC [204]

Answer:

50

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which equation represents a line that passes through (–9, –3) and has a slope of –6?
Helen [10]

Answer:

y+3= -6(x+9) is the answer

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
If y(x) = 3x – 2 and g(x) = 2x+1, find (f- g)(x).
r-ruslan [8.4K]

Answer:

(f- g)(x) = x - 3

Step-by-step explanation:

(f- g)(x) = f(x) - g(x)

This means that you have to subtract the two equation.

If f(x) = 3x - 2 and g(x) = 2x + 1

Then

f(x) - g(x) = [3x - 2] - [2x+1]

= 3x - 2- 2x - 1

= x - 3

∴ (f- g)(x) = x - 3

6 0
2 years ago
Math queztion -8x + 40> -16 =
emmainna [20.7K]

Answer: x < 7

Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is -8x by subtracting 40 from both sides.

That leaves you with -8x > -56.

To get <em>x</em> by itself, divide both sides by -8 but watch out.

If you divide both sides of an inequality by a negative,

you must switch the direction of the inequality sign.

So we have x < 7.

4 0
3 years ago
Read 2 more answers
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