Solve ... 5x + 4 < 3

To solve the exercirses which are shown in the figure attached, you must follow the proccedure below:

7) (x)=x³-6x²+8x
(x)=x(x³-6x²+8)
(x)=(x-4)(x-2)x

The lenght is: x
The height is= (x-4)

8) √(2x+8)-6=4

1. You need to clear the variable "x". Then:

√(2x+8)=4+6
√(2x+8)=10
(√2x+8)²=10²
2x+8=100
2x=100-8
x=92/2
x=46

9) l4x+3l=9+2x

1. To solve the left member, you must evaluate two cases: it could be positive,or negative. Then:

2. Negative:

l4x+3l=9+2x
-4x-3=9+2x
-4x-2x=9+3
-6x=12
x=12/-6
x=-2

3. Positive:

l4x+3l=9+2x
4x+3=9+2x
4x-2x=9-3
2x=6
x=6/2
x=3

4 0

2 years ago

7. Given the following information, calculate, in order, the amount credited and the outstanding balance.

svp [43]

Answer:

C. $824.74, $175.26

Step-by-step explanation:

1) Amount Credited

The formula to calculate the amount credited =

Amount paid ÷ ( 100% - Discount)

Discount is given in the question as 3/10

Where 3 = Discount rate

Amount paid = $800

Amount credited = 800/( 100% - 3%)

= 800/ 97%

= 800/ 0.97

= $824.74

b) Outstanding balance = Invoice - Amount credited

Invoice = $1000

Amount credited = $824.74

Outstanding balance = $1000 - $824.74

= $175.26

5 0

2 years ago

Please answer ASAP. The question is down below.

zheka24 [161]

Answer: 1) c 2) a 3) d

Step-by-step explanation:

$\cos \theta = \dfrac{adjacent}{hypotenuse}\quad \\\\\\\cos 42.1=\dfrac{4.7}{x}\\\\\\x=\dfrac{4.7}{\cos 42.1}\\\\\\\large\boxed{x=6.33}\\$

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Reference angle is the angle measurement from the x-axis. There is no such thing as a negative reference angle.

-183° is 3° from the x-axis so the reference angle is $\large\boxed{3^o}$

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Coterminal means the same angle location after one or more rotations either clockwise or counter-clockwise.

To find these angles, add or subtract 360° from the given angle to find one rotation, add or subtract 2(360°) from the given angle to find two rotations, etc.

To find ALL of the coterminals, add or subtract 360° as many times as the number of rotations. Rotations can only be integers. In other words, you can only have ± 1, 2, 3, ... rotations. You cannot have a fraction of a rotation.

Given: 203°

Coterminal angles: 203° ± k360°, k ∈ I

7 0

3 years ago

Solve ... 5x + 4 < 3 - 3x