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2 years ago

Evaluate Write your answer as a fraction in simplest form. HELP PLEASE

Mathematics

2 answers:

alina1380 [7]2 years ago

7 0

-1/972 is the simplest form

Anni [7]2 years ago

6 0

Answer

-3⁻³/6⁻²

= (-1*3)⁻³/(2*3)⁻²

= -1⁻³·3⁻³/2⁻²·3⁻²

= -1.3⁻³⁺²/2⁻²

= -1.3⁻¹/2⁻²

= -4/3

Step-by-step explanation:

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Could anyone show me how to think in terms of percentages and proportionality in order to solve the following math problem:

Sergeeva-Olga [200]

You have to multiply the total number of women by .15 and you will get your answer. 1,350,000 is the answer

7 0

3 years ago

Read 2 more answers

Factorise 2x^2 - 3x -2 < 0

Galina-37 [17]

Step 1: Factor $2 x^{2} - 3x -2$
1. Multiply 2 by -2, which is -4.
2. Ask: Which two numbers add up to -3 and multiply to -4?
3. Answer: 1 and -4
4. Rewrite $-3x$ as the sum of $x$ and $-4x$

$2 x^{2} +x-4x-2\ \textless \ 0$

Step 2: Factor out common terms in the first two terms, then in the last two terms.

 $x(2x+1)-2(2x+1)\ \textless \ 0$

Step 3: Factor out the common term $2x+1$

$(2x+1)(x-2)\ \textless \ 0$

Step 4: Solve for $x$

1. Ask: When will $(2x+1)(x-2)$ equal zero?
2. Answer: When $2x + 1 = 0$ or $x-2=0$
3. Solve each of the 2 equations above:

 $x=- \frac{1}{2} ,2$

Step 5: From the values of $x$ above, we have these 3 intervals to test.
x = < -1/2
-1/2 < x < 2
x > 2

Step 6: Pick a test point for each interval

For the interval $x\ \textless \ - \frac{1}{2} 
$
Lets pick $x=-1.$ Then, $2(-1) ^{2} -3 * -1 -2 \ \textless \ 0$
After simplifying, we get $3\ \textless \ 0$ , Which is false.
Drop this interval.

For this interval $- \frac{1}{2} \ \textless \ x\ \textless \ 2$
Lets pick $x=0$ . Then, $2* 0^{2} - 3 * 0-2\ \textless \ 0$ . After simplifying, we get $-2\ \textless \ 0,$ which is true. Keep this interval.

For the interval $x\ \textgreater \ 2$

Lets pick $x = 3.$ Then, $2 * 3 ^{2} -3*3-2\ \textless \ 0.$ After simplifying, we get $7\ \textless \ 0$ , Which is false. Drop this interval.

.Step 7: Therefore,
$- \frac{1}{2} \ \textless \ x\ \textless \ 2$

Done! :)

4 0

3 years ago

A motel rents double rooms at $34 per day and single rooms at $27 per day. If 26 rooms were rented one day for a total of $807,

torisob [31]

Let, number of double rooms and single rooms are d and s.

d + s = 26 ....1 )

Hotel rents double rooms at $34 per day and single rooms at $27 per day.

34d + 27s = 807 ....2)

Solving equation 1 and 2, we get :

34( 26 - s ) + 27s = 807

884 - 34s + 27s = 807

7s = 77

s = 11

And d = 26 - 11 = 15

Therefore, number of double rooms and single rooms are 15 and 11.

Hence, this is the required solution.

4 0

3 years ago

I WILL MAKE WHOEVER ANSWERS THIS CORRECTLY THE BRAINLIEST :D Rei is barricading a door to stop a horde of zombies. She stacks bo

ivann1987 [24]

Answer:

See below.

Step-by-step explanation:

Well first, we need to find the weight of the table. We know that 8 boxes weighs a total of 240kg (since each box weights 30kg). Thus, we can conclude that the table weighs 70kg by doing 310-240=70.

Now, we can write our function. Let $x$ equal the amount of boxes.

The table is a set weight, so that would be our constant.

Thus, we will have:

$f(x)=30x+70$