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fiasKO [112]
3 years ago
12

Simplify the following expression : 2 (2x-3)+5 (6x+1)

Mathematics
1 answer:
vivado [14]3 years ago
7 0
To simplify begin by distributing the multiplication outside the parenthesis: 
2(2x-3)+5(6x+1) =4x-6+30x+6 \\ 4x+30x=34x
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Which two values of x satisfy the equation square root 3-2cos x = 2?
Andrei [34K]

Answer: x=2π/3 and x=4π/3

Step-by-step explanation:

The equation we have is \sqrt{3-2cosx} =2. All we have to do is get cosine alone to find the 2 values of x.

3-2cosx=4\\-2cosx=1\\cosx=-\frac{1}{2}

Now that we have our cosine left, we can use our unit circle to figure out when does cosx=-1/2. Cosine is the x value of the coordinate.

x=2π/3

x=4π/3

8 0
3 years ago
The table shows the temperatures in degrees Celsius, y, inside a shed at x hours past noon. The maximum and minimum temperatures
kolbaska11 [484]

Answer:

B

y = 3 cos (pi/12x - pi/4) + 17

Step-by-step explanation:

First find the average temperature which is 20 + 14/2 = 17

Find the amplitude

20 - 17 = 3

This means that that at noon, the shift is 3hrs past

the best equation that represents this scenario is y = 3 cos (\frac{\pi}{12}x - \frac{\pi}{4}) + 17

5 0
3 years ago
F(x) = -2x^3 + 3(x + 2). Does this mean that it's f(3) = -39
Anarel [89]

Answer:

Step-by-step explanation:

lets replace x with 3

f(3)= -2(3)^3+3(3+2)=-2*27+15=-54+15=-39

5 0
3 years ago
A rectangular prism is made of 81 unit cubes. The prism is 9 unit cubes long.
dimaraw [331]

Answer:

A width: 3 unit cubes

height 3 unit cubes

Step-by-step explanation:

Volume of rectangular prism = 81 unit cubes

l = Length of rectangular prism = 9 unit cubes

w = Width of rectangular prism

h = Height of rectangular prism

Volume of a rectangular prism is given by

V=lwh\\\Rightarrow 81=9wh\\\Rightarrow wh=\dfrac{81}{9}\\\Rightarrow wh=9

The product of width and height must be 9 so from the options this is only possible when width and height both are 3 units.

So, the width is 3 unit cubes and the height is 3 unit cubes.

4 0
3 years ago
Someone please help me
nlexa [21]

Answer:

c

Step-by-step explanation:

according to PEMDAS you should always do whats inside the parentheses first, then you'll multiply the parentheses by 5

3 0
4 years ago
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