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skelet666 [1.2K]
3 years ago
5

Solve the equation. If there is no solution, write no solution. 4|x+1/4|=16

Mathematics
1 answer:
k0ka [10]3 years ago
4 0

Answer:

x = 3.75

Step-by-step explanation:

Firstly we distribute:  4x + 1 = 16

Subtract 1 from both sides: 4x = 15

Divide both sides by 4: x = 3.75

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What are the solutions of 3(x – 4)(2x - 3) = 0? Check all that apply.
maksim [4K]

Answer:

x=4     x = 3/2

Step-by-step explanation:

3(x – 4)(2x - 3) = 0

We can use the zero product property

x-4 =0   2x-3=0

Solve each equation

x-4 =0     2x-3=0

x=4         2x=3

              x =3/2

5 0
3 years ago
Audrey takes a sheet of paper and makes a diagonal cut from one corner to the opposite
Elodia [21]

\large{\underline{\underline{\pmb{\frak {\color {blue}{Solution:}}}}}}

Let us take the width of the paper as base, the cut she made be hypotenuse and the paper's length be perpendicular.

Here,

Hypotenuse (H) = 87 inch

Base (B) = 60 inch

Perpendicular (P) = [To be calculated]

As, we can use Pythagoras theorem to find. So by using Pythagoras theorem :

H² = P² + B²

{87}^{2}  =   {P}^{2}  +   {60}^{2}  \\  \\  \implies \: 7569 =   {P}^{2}  + 3600 \\  \\  \implies \: 7569 - 3600 =  {P}^{2}  \\  \\  \implies3969 =  {P}^{2}  \\  \\  \implies \: P =  \sqrt{3969}  \\  \\ \implies \: P = 63

The length of the paper is 63 inches.

\boxed{ \frak \pink{BrainlyDamurai}}

5 0
2 years ago
The high school athletics department is installing a new rectangular addition to their current practice field. the length of the
artcher [175]

The system of inequalities that best describes this situation provided A represents the area in which the entire field exists:

$\left \{ {{A \geq x^{2} +10x+300} \atop {A \leq 1200}} \right.

<h3>What are word problems?</h3>

Word problems in mathematics exist methods we can utilize variables, algebra notations, and arithmetic operations to solve real-life cases.

We have a new addition to the current rectangular field,

Let that new addition to the current rectangular field be x

Length of the new addition = 10x

Twice the width of the new addition = 2x²

Original area of the field = 300

From the above information, we can derive a quadratic equation:

2x² + 10x + 300

Also, we exist given a constraint that the total area of the practice field should be no more than 1200.

It can be less than 1200 or equivalent to 1200.

Therefore, the system of inequalities that best describes this situation provided A represents the area in which the entire field exists:

$\left \{ {{A \geq x^{2} +10x+300} \atop {A \leq 1200}} \right.

To learn more about quadratic equations refer to:

brainly.com/question/1214333

#SPJ4

4 0
1 year ago
What is the perimeter ​
Yuri [45]

Answer:

the answer is 10 6/3 20/10       1/2

Step-by-step explanation:

5 0
3 years ago
How do I do this I'm so confused​
suter [353]

Answer:

Pretty sure that x would be positive 37.

Step-by-step explanation:

3 0
2 years ago
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