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asambeis [7]
3 years ago
14

Tell whether the value is a solution of the inequality

Mathematics
2 answers:
Paladinen [302]3 years ago
5 0
True because -2(-5)+4 is 10+4 “ 14
Elanso [62]3 years ago
5 0

\huge \boxed{\mathfrak{Question} \downarrow}

  • Tell whether the value is a solution of the inequality. \sf\:14 \geq - 2 n + 4, n = - 5

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

14 \geq - 2 n + 4

Swap sides so that all variable terms are on the left-hand side. This changes the sign direction.

-2n+4\leq 14

Subtract 4 from both sides.

-2n\leq 14-4

Subtract 4 from 14 to get 10.

-2n\leq 10

Divide both sides by -2. As -2 is <0, the inequality direction has changed.

n\geq \frac{10}{-2}  \\

Divide 10 by -2 to get -5.

\huge \boxed{ \boxed{ \bf \: n\geq -5 }}

  • So, <u>YES,</u><u> </u>the given value is a solution of the inequality.

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julia-pushkina [17]

Answer:

49/16

Step-by-step explanation:

make the fraction into a mixed number then multiply have answer

3 0
3 years ago
Help? thanks :D have a good day
galben [10]

Answer:

option a

Step-by-step explanation:

as 145 +10 = 155°

and total angle measure of triangle is 180

so

180-155 = 25°

in option a one angle is 10

other is 25 so obviously last angle will be 145

and same is in the triangle abc

one angle is 10 other is 145 and last is 25

both hve same measures thus are same triangles.

7 0
3 years ago
What is a simple way to solve for the sum and difference of 2 cubes? For example, 27+64<img src="https://tex.z-dn.net/?f=x%5E3"
salantis [7]

Answer:

(3 + 4x)(9 - 12x + 16x²) = 0

(4m - 1)(16m² + 4m + 1) = 0

Step-by-step explanation:

Here we have to solve the sum of two cubes which is 27 + 64x^{3}

Now, the equation is 27 + 64x^{3} = 0

⇒ 3³ + (4x)³ = 0

⇒ (3 + 4x)[3² - 3(4x) + (4x)²] = 0

⇒ (3 + 4x)(9 - 12x + 16x²) = 0

So, (3 + 4x) = 0 or (9 - 12x + 16x²) = 0

Therefore, from the above two relation we can solve for x.

One root will be - \frac{3}{4} and the others we will get by applying Sridhar Acharya Formula, which will give a pair of conjugate imaginary roots of the equation.  

Again, we have to solve the difference of two cubes which is 64m^{3} - 1

Now, the equation is 64m^{3} - 1 = 0

⇒ (4m)³ - 1³ = 0

⇒ (4m - 1)[(4m)² + 4m(1) + 1²] = 0

⇒ (4m - 1)(16m² + 4m + 1) = 0

So, (4m - 1) = 0 or (16m² + 4m + 1) = 0

Therefore, from the above two relation we can solve for m.

One root will be \frac{1}{4} and the others we will get by applying Sridhar Acharya Formula, which will give a pair of conjugate imaginary roots of the equation.  (Answer)

8 0
3 years ago
If you are going 50 miles per hour, how many feet per second are you traveling?
Karolina [17]
You would travel 73.333334ft per second because 50 miles/hour would make 73.333333repete foot/second. 
5 0
3 years ago
If the sides of a right triangle is 10 cm, and the other side is 8 cm, what is the hypotenuse? Round to the nearest tenth.
Advocard [28]

Answer:

Step-by-step explanation:

Pythagorean theorem,

hypotenuse² = Base² + altitude²

                     = 8²    + 10²

                   = 64 + 100

                   = 164

hypotenuse = √164 = 12.8 cm

5 0
3 years ago
Read 2 more answers
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