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Blizzard [7]
3 years ago
9

Simplify 1/4(12x-8)-(5x-1)

Mathematics
1 answer:
Ronch [10]3 years ago
7 0

Answer:

b

Step-by-step explanation:

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Sophie has $200 in a savings account that earns 5% annually. The interest is not
r-ruslan [8.4K]

Answer:

$210

Step-by-step explanation:

Formula:

P = A (1 + r% x t)

P: Answer

A: Original value

R%: Percentage increase

T: Time

P = 200 (1 + 5% x 1)

P = $210

4 0
2 years ago
What is the graph of
Veseljchak [2.6K]

Answer: a coordinate grid

5 0
4 years ago
In a right triangle one leg measures a quarter of the other, how much do its acute angles measure? with procedure please​
KATRIN_1 [288]

Answer:

The answer to your question is 14° and 76°

Step-by-step explanation:

Data

leg 1 = x

leg 2 = x/4

angle 1 = ?

angle 2 = ?

Process

To solve problem use trigonometric functions. We must use the trigonometric function that relates both legs (tangent).

    tangent Ф = Opposite side / Adjacent side

-Substitution

    tan Ф = (x/4) / x

-Simplification

    tan Ф = x / 4x

    tan Ф = 1/4

-  Find Ф

     Ф = tan⁻¹(1/4) =  14°

- Find the other acute angle

  The sum of the internal angles in a triangles equals 180°

       Ф + Ф₁ + 90° = 180

-Solve for Ф₁

        Ф₁  = 180 - 90 - 14

-Result

        Ф₁ = 76°              

3 0
3 years ago
Suppose a farm has pens for raising insects. A pen is shaped as a rectangle that measures x meters wide and 2x meters long and h
Ludmilka [50]

Answer:

1.2 meters.

Step-by-step explanation:

Length of pen = 2x meters

width of pen = x meters

shape of pen is  rectangular

we know that area of rectangle is given by length * width

Thus, area of the pen is x*2x = 2x^2

It is also given that area of pen is 2.8 square meters.

Equating numerical value of area  with area in terms of x, we have

2x^2 = 2.88\\=> x^2 = 2.88/2\\=> x^2 = 1.44\\=> x = 1.2

Thus value of x is 1.2 meters.

5 0
3 years ago
Expand<br> (2x - 3)4 <br><br> Can you help me expand this by using the binomial theorem?
saw5 [17]

The value of expanding (2x -3)^4 is 16x^4  + 96x^3  +216x^2 -216x + 81

<h3>How to expand the expression?</h3>

The expression is given as:

(2x -3)^4

Using the binomial expansion, we have:

(2x -3)^4 = ^4C_0 * (2x)^4 * (-3)^0 +^4C_1 * (2x)^3 * (-3)^1 + ^4C_2 * (2x)^2 * (-3)^2 + ^4C_3 * (2x)^1 * (-3)^3 + ^4C_4 * (2x)^0 * (-3)^4

Evaluate the combination factors.

So, we have:

(2x -3)^4 = 1 * (2x)^4 * (-3)^0 + 4 * (2x)^3 * (-3)^1 + 6 * (2x)^2 * (-3)^2 + 4 * (2x)^1 * (-3)^3 + 1 * (2x)^0 * (-3)^4

Evaluate the exponents and the products

(2x -3)^4 = 16x^4  + 96x^3  +216x^2 -216x + 81

Hence, the value of expanding (2x -3)^4 is 16x^4  + 96x^3  +216x^2 -216x + 81

Read more about binomial expansions at:

brainly.com/question/13602562

#SPJ1

8 0
2 years ago
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