All categories

3 years ago

(5x+3y=-3 | 3x – 3y =-21

Mathematics

1 answer:

disa [49]3 years ago

7 0

Answer:

8x = -24 => x = -3

y = 4

Step-by-step explanation:

You might be interested in

The grades of a science test are normally distributed. Thanh finds that his grade on the test has a z-score of –2.5. Which state

liraira [26]

From all those aforementioned, the true statement is: Thanh’s grade is 2.5 standard deviations below the mean of the test grades.

7 0

3 years ago

Read 2 more answers

What are the solutions of the equation x4 95x2 Ă˘â‚¬"" 500 = 0? Use factoring to solve.

liq [111]

All the values of the x for the given function are $\sqrt{5},-\sqrt{5}, 10i$ and $-10i$ .

Given-

Given function is,

$x^{4}+95x^2-500=0$

Rewrite the equation,

$(x^2)^2+95x^2-500=0$

Let u in place of $x^2$ and rewrite the equation in the form of u,

$u^2+95u-500=0$

Break the 95 in factors and rewrite the equation,

$u^2+100u-5u-500=0$

$u(u+100)-5(u+100)=0$

$(u+100)(u-5)=0$

Replace the value of u with $x^2$ ,

$(x^2+100)(x^2-5)=0$

It is known that If any individual factor on the left side of the equation is equal to zero then the entire expression will be equal to zero. therefore we get,

$x^2-5=0$

further, solve it,

$x^2=5$

$x=\sqrt{5},-\sqrt{5}$

And another factor is

$x^2+100=0$

$x^2=-100$

$x=10i,-10i$

Hence, all the values of the x for the given function are $\sqrt{5},-\sqrt{5},$ $10i ,$ and $-10i$ .

For more about the factorization, follow the link below-

brainly.com/question/6810544

5 0

3 years ago

You want to buy an item that cost $100. Which of these is the most cost-effective choice for buying the item

andreyandreev [35.5K]

the one that is the most cost-effective choice for buying the item would be : C. buying it a percent discount without sales tax

With this option, you can get a clear $ 10 cut which is higher compared to the other options

5 0

3 years ago

Greetings. As a beginner, I'm struggling a bit to learn calculus. May I know what is the derivative of x to the power 4 step by

elena-14-01-66 [18.8K]

If you're just starting calculus, perhaps you're asking about using the definition of the derivative to differentiate $x^4$ .

We have

$\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x+h)^4 - x^4}h$

Expand the numerator using the binomial theorem, then simplify and compute the limit.

$\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x^4+4hx^3 + 6h^2x^2 + 4h^3x + h^4) - x^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} \frac{4hx^3 + 6h^2x^2 + 4h^3x + h^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} (4x^3 + 6hx^2 + 4h^2x + h^3) = \boxed{4x^3}$

In general, the derivative of a power function $f(x) = x^n$ is $\frac{df}{dx} = nx^{n-1}$ . (This is the aptly-named "power rule" for differentiation.)

3 0

2 years ago

What is a sector of a circle? What is the area for the sector's formula?

tatyana61 [14]

A sector of a circle is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector.
The area A of a circle with radius r is given by A = πr2. The circumference C of that same circle is given by C = 2πr. But these are the formulas for the entire circle. Sometimes you will need to work with just a portion of a circle's revolution, or with many revolutions of the circle.

3 0

3 years ago