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Svetlanka [38]
3 years ago
11

Given: f(x) = 3 - x; g(x) = -2x Find g[f(-1)].

Mathematics
1 answer:
Ganezh [65]3 years ago
8 0
G[f(-1)]
-2x[3-x(-1)]
-2x[-3-x]
6x-x
5x
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Solve the following system of equations. Enter the y-coordinate of the solution. Round your answer to the nearest tenth.
Alex17521 [72]
-2x + 6y = -34
-x + 3y = -17
x = 3y +17

Sub this into 1st eqn
5(3y + 17) + 2y = 21
15y + 85 + 2y =21
17y = -64
y = -3.7647 (to 5 sig. fig.)
y = -3.8 (to nearest tenth)

Sub y = -3.7647 into 2nd eqn
x = 3(-3.7647) +17
x = 5.7 (to nearest tenth)
7 0
3 years ago
Will give brainlest
Vilka [71]

Answer:

B. 1 5/6

Step-by-step explanation:

\frac{5}{6}*2\frac{1}{5} = 1\frac{5}{6}

5 0
3 years ago
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Suppose you just received a shipment of nine televisions. Three of the televisions are defective. If two televisions are randoml
Temka [501]
<h2>Answer:</h2>

a)

The probability that both televisions work is:  0.42

b)

The probability at least one of the two televisions does not​ work is:

                          0.5833

<h2>Step-by-step explanation:</h2>

There are a total of 9 televisions.

It is given that:

Three of the televisions are defective.

This means that the number of televisions which are non-defective are:

          9-3=6

a)

The probability that both televisions work is calculated by:

=\dfrac{6_C_2}{9_C_2}

( Since 6 televisions are in working conditions and out of these 6 2 are to be selected.

and the total outcome is the selection of 2 televisions from a total of 9 televisions)

Hence, we get:

=\dfrac{\dfrac{6!}{2!\times (6-2)!}}{\dfrac{9!}{2!\times (9-2)!}}\\\\\\=\dfrac{\dfrac{6!}{2!\times 4!}}{\dfrac{9!}{2!\times 7!}}\\\\\\=\dfrac{5}{12}\\\\\\=0.42

b)

The probability at least one of the two televisions does not​ work:

Is equal to the probability that one does not work+probability both do not work.

Probability one does not work is calculated by:

=\dfrac{3_C_1\times 6_C_1}{9_C_2}\\\\\\=\dfrac{\dfrac{3!}{1!\times (3-1)!}\times \dfrac{6!}{1!\times (6-1)!}}{\dfrac{9!}{2!\times (9-2)!}}\\\\\\=\dfrac{3\times 6}{36}\\\\\\=\dfrac{1}{2}\\\\\\=0.5

and the probability both do not work is:

=\dfrac{3_C_2}{9_C_2}\\\\\\=\dfrac{1}{12}\\\\\\=0.0833

Hence, Probability that atleast does not work is:

             0.5+0.0833=0.5833

4 0
3 years ago
Suppose y varies directly with x. if y=7 when x=2, find y when x=3
DENIUS [597]
7/2=y/3

21=2y

Y=21/2

Hope this helps!
6 0
3 years ago
-2 2/3 + (-9 4/5)= ?
Nataly [62]

Answer:

<em>-</em><em>2</em><em>2</em><em> </em><em>/</em><em>3</em><em> </em><em>+</em><em> </em><em>(</em><em>-</em><em>9</em><em>4</em><em>/</em><em>5</em><em>)</em><em> </em>

<em>-</em><em>2</em><em>2</em><em>/</em><em>3</em><em> </em><em>+</em><em> </em><em>-</em><em>8</em><em>9</em><em>/</em><em>5</em>

Step-by-step explanation:

<em>-</em><em>1</em><em>1</em><em>0</em><em>/</em><em>1</em><em>5</em><em> </em><em>+</em><em> </em><em>-</em><em> </em><em>2</em><em>5</em><em>7</em><em>/</em><em>1</em><em>5</em>

<em>-</em><em>3</em><em>6</em><em>7</em><em>/</em><em>1</em><em>5</em>

6 0
3 years ago
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