All categories

4 years ago

What is the value of this expression when a = 2 and b = -3?

Mathematics

1 answer:

Serhud [2]4 years ago

5 0

Answer:

Step-by-step explanation:

(a^3 - b^3) / 5

Let a=2 and b = -3

Do the exponents inside the parentheses

(2^3 - (-3)^3) / 5

Then add

(8 - (-27))/5

Subtracting a negative is like adding

(8+27)/5

( 35)/5

You might be interested in

Which relationships describe angles 1 and 2? Select each correct answer. vertical angles adjacent angles O complementary angles

lorasvet [3.4K]

Answer:

supplementary angles

Step-by-step explanation:

they are on the same line, so they sum up to 180°

5 0

2 years ago

I have an exercice in statistics, but I absolutely don't know how to answer the question. Could you please guys help?

Nataly [62]

Answer:

0.01

Step-by-step explanation:

Y and X is y

6 0

4 years ago

What are the real zeroes of x3 + 6 x2 – 9x - 54?

o-na [289]

Answer:

Option B 3,-3,-6 is correct.

Step-by-step explanation:

We need to find real zeroes of $x^3+6x^2-9x-54$

Solving

$x^3+6x^2-9x-54\\=(x^3+6x^2)+(-9x-54)$

Taking x^2 common from first 2 terms and -9 from last two terms we get

$=(x^3+6x^2)+(-9x-54)\\=x^2(x+6)-9(x+6)\\$

Taking (x+6) common

$(x+6)(x^2-9)\\$

x^2-9 can be solved using formula a^2-b^2 = (a+b)(a-b)

$=(x+6)((x)^2-(3)^2)\\=(x+6)(x+3)(x-3)$

Putting it equal to zero,

$(x+6)(x+3)(x-3) =0\\x+6 =0, x+3=0\,\, and\,\, x-3=0\\x=-6, x=-3\,\, and\,\, x=3$

So, Option B 3,-3,-6 is correct.

7 0

3 years ago

Approximate the area under the curve over the specified interval by using the indicated number of subintervals (or rectangles) a

RideAnS [48]

Split up [1, 3] into 4 subintervals:

[1, 3/2], [3/2, 2], [2, 5/2], [5/2, 3]

each with length (3 - 1)/2 = 1/2.

The right endpoints $r_i$ are {3/2, 2, 5/2, 3}, which we can index by the sequence

$r_i=1+\dfrac i2$

with $1\le i\le4$ .

Evaluating the function at the right endpoints gives the sampling points $f(r_i)$ , {27/4, 5, 11/4, 0}.

Then the area is approximated by

$\displaystyle\int_1^3f(x)\,\mathrm dx\approx\frac12\sum_{i=1}^4f(r_i)=\frac12\left(\frac{27}4+5+\frac{11}4+0\right)=\boxed{\frac{29}4}$

5 0

3 years ago

Solve one third divided by six equals blank by rewriting it as the multiplication equation one third times one sixth equals blan

creativ13 [48]

18 One ninth one eightinth six eighteenths answerAnswer:

it this but do it back wods

Step-by-step explanation:

5 0

3 years ago