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3 years ago

Please help. I’ll mark you as brainliest if correct!

Mathematics

1 answer:

OLEGan [10]3 years ago

5 0

Answer:

x +0y+0z = 400

-x +y+0z = 150

-8x +0y +z = 250

Step-by-step explanation:

The last column is the solution

The rest of the columns are the coefficients of the variables

x +0y+0z = 400

-x +y+0z = 150

-8x +0y +z = 250

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Half a number plus 2.5 times that number equals 18. What is the number?

mixas84 [53]

Tua madre Puttana quella troia inculata schifosa

6 0

3 years ago

In a G.P the difference between the 1st and 5th term is 150, and the difference between the

liubo4ka [24]

Answer:

Either $\displaystyle \frac{-1522}{\sqrt{41}}$ (approximately $-238$ ) or $\displaystyle \frac{1522}{\sqrt{41}}$ (approximately $238$ .)

Step-by-step explanation:

Let $a$ denote the first term of this geometric series, and let $r$ denote the common ratio of this geometric series.

The first five terms of this series would be:

$a$ ,
$a\cdot r$ ,
$a \cdot r^2$ ,
$a \cdot r^3$ ,
$a \cdot r^4$ .

First equation:

$a\, r^4 - a = 150$ .

Second equation:

$a\, r^3 - a\, r = 48$ .

Rewrite and simplify the first equation.

$\begin{aligned}& a\, r^4 - a \\ &= a\, \left(r^4 - 1\right)\\ &= a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right) \end{aligned}$ .

Therefore, the first equation becomes:

$a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right) = 150$ ..

Similarly, rewrite and simplify the second equation:

$\begin{aligned}&a\, r^3 - a\, r\\ &= a\, \left( r^3 - r\right) \\ &= a\, r\, \left(r^2 - 1\right) \end{aligned}$ .

Therefore, the second equation becomes:

$a\, r\, \left(r^2 - 1\right) = 48$ .

Take the quotient between these two equations:

$\begin{aligned}\frac{a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right)}{a\cdot r\, \left(r^2 - 1\right)} = \frac{150}{48}\end{aligned}$ .

Simplify and solve for $r$ :

$\displaystyle \frac{r^2+ 1}{r} = \frac{25}{8}$ .

$8\, r^2 - 25\, r + 8 = 0$ .

Either $\displaystyle r = \frac{25 - 3\, \sqrt{41}}{16}$ or $\displaystyle r = \frac{25 + 3\, \sqrt{41}}{16}$ .

Assume that $\displaystyle r = \frac{25 - 3\, \sqrt{41}}{16}$ . Substitute back to either of the two original equations to show that $\displaystyle a = -\frac{497\, \sqrt{41}}{41} - 75$ .

Calculate the sum of the first five terms:

$\begin{aligned} &a + a\cdot r + a\cdot r^2 + a\cdot r^3 + a \cdot r^4\\ &= -\frac{1522\sqrt{41}}{41} \approx -238\end{aligned}$ .

Similarly, assume that $\displaystyle r = \frac{25 + 3\, \sqrt{41}}{16}$ . Substitute back to either of the two original equations to show that $\displaystyle a = \frac{497\, \sqrt{41}}{41} - 75$ .

Calculate the sum of the first five terms:

$\begin{aligned} &a + a\cdot r + a\cdot r^2 + a\cdot r^3 + a \cdot r^4\\ &= \frac{1522\sqrt{41}}{41} \approx 238\end{aligned}$ .

4 0

3 years ago

Isabella bought 4.5 bags of candy for her party baskets. Each bag has 146 pieces of candy. If she has 9 party baskets, how many

Nadusha1986 [10]

73 because 4.5x146= 657 and 657/9= 73

7 0

2 years ago

Read 2 more answers

A+B=44 A+B=44 A:B A:B is equivalent to 4:7. A= B=

ipn [44]

I think is going to be
A=1
B=43
I WISH IF YOU LOOKING FOR

6 0

4 years ago

How do you solve f (x)=-3 (x+2)+2

Allushta [10]

Answer:

−1/3y+−4/3

Step-by-step explanation:

We need to solve for x.

How? Easy! :D

Step one: Flip the equation. (In class we call it the 'flip-flop'.) When you do this, you should have your equation look like this:

−3x−4=y

Step two: Add 4 to both sides of the equation. When you do this step, your problem should look like this:

−3x−4+4=y+4

−3x=y+4

Step three: Divide both sides by -3.

-3x/-3 = y+4/-3.

Step four: Wrap-up. What the answer is.

x = -1/3y + -4/3

Final step: OUR ANSWER!

x = -1/3 + -4/3

Hope this helped! :D

5 0

3 years ago