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3 years ago

Which statement is true about the solutions for the equation 3y + 4 = −2?

Mathematics

2 answers:

MrRissso [65]3 years ago

5 0

Answer:

A: I think it only has 1 solution because y=-2

B: it has no solution

Step-by-step explanation:

mariarad [96]3 years ago

3 0

Answer:

1. It has one solution.

2. It has no solution.

Step-by-step explanation:

The given equation is

$3y+4=-2$

Subtract 4 from both the sides.

$3y=-2-4$

Divide both sides by 3.

$y=\frac{-6}{3}$

$y=-2$

Therefore this equation has only one solution.

The given equation is

$5n-4=5n-3$

Subtract both sides by (5n-3).

$5n-4-5n+3=0$

$-1\neq 0$

LHS is not equal to RHS for any value of n, therefore this equation has no solution.

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Solve: |2 + 4x| 11

erastovalidia [21]

Correct option is A) [-13/4, 9/4] .

<u>Step-by-step explanation:</u>

Here we have following equation as |2 + 4x| = 11 or , $|2 + 4x| = 11$ . We need to solve for the value of x .Let's find out:

We know that Modulus Function is both positive & negative for particular values of x , i.e.

|2 + 4x| is positive :

⇒ $|2+4x|=11$

⇒ $2+4x=11$

⇒ $4x=9$

⇒ $x = \frac{9}{4}$

|2 + 4x| is negative :

⇒ $|2+4x|=11$

⇒ $-2-4x=11$

⇒ $-4x=13$

⇒ $x = \frac{-13}{4}$

Therefore , Correct option is A) [-13/4, 9/4] .

5 0

3 years ago

I had two oranges, Bernice took two, how many do I have left?

Tpy6a [65]

Answer:

0 Oranges

Step-by-step explanation:

If you had 2 oranges at the start, then your no good friend Bernice took 2 of them, you don't have any oranges left, so get back at him and steal his bannanas! That'll teach him!

6 0

3 years ago

What is the range of the relation below?

Ilya [14]

Answer:

Step-by-step explanation:

I had the same question

7 0

3 years ago

What is the axis of symmetry equation from f(x)=-x^(2)-6x

Sergeeva-Olga [200]

Answer:

$\lim_{n \to \infty} a_n$ 13

Step-by-step explanation:

6 0

3 years ago

The daily cost of producing x high performance wheels for racing is given by the following function, where no more than 100 whe

algol [13]

Answer:

The production would be 25 wheels,

Lowest average cost is $ 123.75

Step-by-step explanation:

Given cost function,

$C(x) = 0.09x^3 - 4.5x^2 + 180x$

Where,

x = number of wheel,

So, the average cost per wheel,

$A(x) = \frac{C(x)}{x}=\frac{0.09x^3-4.5x^2 + 180x}{x}=0.09x^2 - 4.5x + 180$

Differentiating with respect to x,

$A'(x) = 0.18x - 4.5$

Again differentiating with respect to x,

$A''(x) = 0.18$

For maxima or minima,

$A'(x) = 0$

$0.18x - 4.5 = 0$

$0.18x = 4.5$

$\implies x = \frac{4.5}{0.18}=25$

For x = 25, A''(x) = positive,

i.e. A(x) is maximum at x = 25.

Hence, the production would be 25 wheels for the lowest average cost per wheel.

And, lowest average cost,

A(x) = 0.09(25)² - 4.5(25) + 180 = $ 123.75

5 0

4 years ago