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3 years ago

How do you solve number #4?

Mathematics

1 answer:

Vadim26 [7]3 years ago

8 0

Answer:

Step-by-step explanation:

Area of the shaded region =[ (3x-2)(x+3) ] - [ x*6 ]

= 3x*x +3x*3 + (-2)*x + (-2)*3 - 6x

=3x² + 9x - 2x - 6 - 6x {bring like term together}

=3x² + 9x - 2x - 6x - 6

= 3x² + x - 6 {9x - 2x - 6x = 9x - 8x = x}

Area = 24 square units

3x² + x - 6 = 24

3x² + x - 6 - 24 = 0

3x² + x - 30 = 0

Product = 3* -30 = -90

Sum = 1

Factors = 10 , (-1)

3x² + x - 30 = 0

3x² - 9x + 10x - 10*3 = 0

3x*(x - 3) +10*(x - 3) = 0

(x-3)(3x +10) = 0

3x + 10 is ignored because measurements will not be in negative values.

x - 3 = 0

x = 3

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A recylcying center was offering cash for different types of recylcables. For each pound of copper they paid $1.48. For each pou

Tanzania [10]

Answer:

$100.25

Step-by-step explanation:

To figure this out we can write a really simple equation! to start we're going to identify our variables: in this case we'll make $T$ for total, $c$ for the amount of copper, $a$ for the amount of aluminum, and $p$ for the amount of plastic. We can then create this equation to represent the sum of the amount of material times the value. This equation will look like this: $T=1.48c+1.55a +.30p$

Now that we have an equation written out, we can plug in the amount of each material to get $T=1.48(50)+1.55(15)+.30(10)$ . We can then simplify this by following PEDMAS and multiplying to get $T=74+23.25+3$ and then all we have left is to add to get $T=100.25$

4 0

3 years ago

Solve x to the third power = 125/27

tensa zangetsu [6.8K]

The answer is 253 because you have to multipy them

7 0

3 years ago

Consider the square pyramid shown. If each dimension is doubled, how does the surface area change? The surface area doubles. The

Evgen [1.6K]

Surface area of a square pyramid
A = b² + (2 * b * s)

Where,
b = Base length
s = Slant Height

Assume,
b = x
s = y

A = x² + (2 * x * y)
= x² + 2xy

If all dimensions are doubled
b = 2x
s = 2y

A = (2x)² + (2 * 2x * 2y)
A = 4x² + 8xy
A = 4 (x² + 2xy)

∴ The surface area increases by 4 times
The correct answer is the third choice

4 0

3 years ago

Read 2 more answers

If a fair 5-sided die is rolled 5 times, what is the probability that each possible outcome (1, 2, 3, 4, and 5) will occur exact

yarga [219]

Answer:

0.0384

Step-by-step explanation:

Given a fair 5 sided die rolled 5 times.

Numbers on it are 1, 2, 3, 4, 5.

To find:

The probability that each number will occur exactly once.

Solution:

Formula for probability of an event E:

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