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3 years ago

The tables below show the values of f(x) and g(x) for different values of x:

1 answer:

6 0

Hello,

Answer C) x=1 for 3^1+3=3+3=6 and 2*3^1=2*3=6

Without the tables:
2*3^x=3^x+3
==> 2*3^x-3^x=3
==>3^x * (2-1)=3
==>3^x=3^1
==>x=1

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Y = 2x - 4<br> y = - 2x + 8<br> Math

WITCHER [35]

Answer:

(3,2)

Step-by-step explanation:

Since both equations are equal to each others.

2x-4=-2x+8

2x+2x=8+4

4x=12

x=3

Substitute x = 3 in any given equations but I will substitute in the first equation.

y = 2(3)-4

y = 6-4

y = 2

3 0

3 years ago

A drawer contains 3 white shirts, 2 blue shirts, and 5 gray shirts. A shirt is randomly

shutvik [7]

Answer:

Probability that first shirt is white and second shirt is gray if first shirt selected is set aside = $\frac{1}{4}$

Step-by-step explanation:

Given that

3 white, 2 blue and 5 gray shirts are there.

To find:

Probability that first shirt is white and second shirt is gray if first shirt selected is set aside = ?

Solution:

Here, total number of shirts = 3+2+5 = 10

First of all, let us learn about the formula of an event E:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

$P(First\ White) = \dfrac{\text{Number of white shirts}}{\text {Total number of shirts left}}$

$P(First\ White) = \dfrac{3}{10}$

Now, this shirt is set aside.

So, total number of shirts left are 9 now.

$P(First\ White\ and\ second\ gray) = P(First White) \times P(Second\ Gray)\\\Rightarrow P(First\ White\ and\ second\ gray) = P(First White) \times \dfrac{\text{Number of gray shirts}}{\text{Total number of shirts left}}\\\\\Rightarrow P(First\ White\ and\ second\ gray) = \dfrac{3}{10} \times \dfrac{5}{9}\\\Rightarrow P(First\ White\ and\ second\ gray) = \dfrac{1}{2} \times \dfrac{1}{2}\\\Rightarrow P(First\ White\ and\ second\ gray) = \bold{\dfrac{1}{4} }$

So, the answer is:

Probability that first shirt is white and second shirt is gray if first shirt selected is set aside = $\frac{1}{4}$

4 0

3 years ago

Point A' is the image of point A when point A is rotated about the origin B. What angle in the counterclockwise direction is

Elza [17]

9514 1404 393

Answer:

90° CCW

Step-by-step explanation:

The slope of BA is -1/3. The slope of BA' is 3, so the slopes are opposite reciprocals of one another. These segments are perpendicular, meaning the angle between them is 90°.

Point A' has been rotated 90° CCW about point B.

8 0

3 years ago

Lydia has 2 feet of yellow ribbon and 3 feet of pink ribbon she wants to cut them into many 1/2 foot pieces how many 1/2 foot pi

lawyer [7]

Answer:

Step-by-step explanation:

2 divided by 0.5 is 4 and 3 divided by 0.5 is six so the answer is 10

4 0

3 years ago

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Can you help me find x<br> 8th grade math

wel

Answer:

x=53

Step-by-step explanation:

all triangles equal 180° the little lines on each side mean both sides are same length so all u gotta do is

180-74=106

106/2= 53

5 0

3 years ago

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