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svetlana [45]
3 years ago
13

Find the value of y that makes each equation true for all values of x.

Mathematics
1 answer:
Soloha48 [4]3 years ago
3 0
Okay I'm a little lost because of the . next to the 2 but if they are separate your answers would be 

3x+6x=yx (x=0) 

c+5+11=12+7 (x=x=−y+c+5+<span>
</span>
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Hey someone who knows this want to give me the answer thanks
Gnesinka [82]
C is the answer. Hope this helps!
4 0
2 years ago
Read 2 more answers
Type the correct answer in each box. (____)
trapecia [35]

Answer:

1. -16; 2. +64; 3. 16

Step-by-step explanation:

The formula for the volume of a cylinder is

V = πr²x

Data:

r = (x - 8)   mm

V = 1024π mm³

Calculations:

1. Find the cubic equation  

V = πr²h

1024π = π(x - 8)² × x

Divide each side by π

1024 = x(x - 8)²  

1024 = x(x² - 16x  + 64)

1024 =    x³ - 16x² + 64x

x³ - 16x² + 64x - 1024 = 0

2. Solve the cubic equation

The general formula for a third-degree polynomial is

f(x) = ax³ + bx² + cx + d

Your polynomial is  

f(x) = x³ - 16x² + 64x - 1024

a = 1; d = -1024

According to the <em>rational roots theorem</em>, the possible roots are

factors of d/factors of a

Factors of d = ±1, ±2, ±4, ±8, ±16, ± 32, ± 64, ±128, ±256, ±512, ±1024

Factors of a = ±1

Potential roots are x = ±1, ±2, ±4, ±8, ±16, ± 32, ± 64, ±128, ±256, ±512, ±1024

That's a lot of possibilities to check by trial and error. I will just use the one that works.

Try x = 16 by synthetic division.

16|1  -16   64  -1024

  <u>|     16     0   1024 </u>

   1     0   64        0

So,

(x³ - 16x² + 64x - 1024)/(x – 16) = x² + 64

and

(x - 16)(x² + 64) = 0

x - 16 = 0        x² + 64 =    0

     x = 16       x²         = -64

                       x          =  ±8i

There is only one real root: x = 16 mm

6 0
3 years ago
Sandra waits tables at Polly's Tamales. While she is working, she receives a discount on any food she buys. If an item normally
Musya8 [376]

Answer: 6

Step-by-step explanation: 2/3 of 9 = 6

6 0
3 years ago
Which of the following is a trinomial?
Masja [62]
Although you didn't provide any answer choices:

A trinomial is an expression with exactly three terms that can't be combined an example would be this

x^2 - 3x + 1

None of those terms can be combined

x^2 + 3 - 4 has three terms but it isn't considered a trinomial because you can simplify it to x^2 - 1 which is known as a binomial because it has 2 terms in it's simplified form.

hope this helps C:
5 0
3 years ago
Read 2 more answers
The function f(t)= 5 tan 2 t, does not have an amplitude and has a period of π.
trasher [3.6K]

ANSWER

False

EXPLANATION

The tangent function has no amplitude because it is not bounded.

The given tangent function is

f(t) = 5 \tan(2t)

This is of the form

f(t)=a tan(bt)

The period is given by

T =  \frac{\pi}{ |b| }

T =  \frac{\pi}{ |2| }  =  \frac{\pi}{2}

The first statement is true but the second is false.

Hence the whole statement is false.

8 0
3 years ago
Read 2 more answers
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