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3 years ago

2x- 3y=9 5x+3y=12 How would i solve this? I dont understand this and i really need help with it!Also I have to graph the an

wsers afterward on a graph, so i really need the help. I appreciate it:)

Mathematics

1 answer:

dedylja [7]3 years ago

7 0

$\begin{cases} 2x- 3y=9 \\5x+3y=12 \end{cases}\\ + \ \ ------- \\ 7x=21 \ \ /: 7\\ \\x=\frac{21}{3}\\ \\ x=3 \\ \\2x- 3y=9$

$2*3-3y=9\\ \\6-3y =9\\ \\-3y=9-6\\ \\-3y=3 \ \ / :(-3)\\ \\x=-1\\ \\ \begin{cases} x=3\\y= -1 \end{cases}$

$graph\\ \\\begin{cases} 2x- 3y=9 \\5x+3y=12 \end{cases}\\ \\ \begin{cases} - 3y=-2x+9\ \ /:(-3) \\ 3y=-5x+12 \ \ /:3 \end{cases}\\ \\ \begin{cases} y= \frac{2}{3}x-3 \\ y=-\frac{5}{3}x+4 \end{cases}$

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Find the real or imaginary solutions of each equation by factoring

anyanavicka [17]

Sum of 2 perfect cubes
a³+b³=(a+b)(x²-xy+y²)
so

x³+4³=(x+4)(x²-4x+16)
set each to zero
x+4=0
x=-4

the other one can't be solveed using conventional means
use quadratic formula
for
ax^2+bx+c=0
x= $\frac{-b+/- \sqrt{b^2-4ac} }{2a}$
for x²-4x+16=0
x= $\frac{-(-4)+/- \sqrt{(-4)^2-4(1)(16)} }{2(1)}$
x= $\frac{4+/- \sqrt{16-64} }{2}$
x= $\frac{4+/- \sqrt{-48} }{2}$
x= $\frac{4+/- (\sqrt{-1})(\sqrt{48}) }{2}$
x= $\frac{4+/- (i)(4\sqrt{3}) }{2}$
x= $2+/- 2i\sqrt{3}$

the roots are
x=-4 and 2+2i√3 and 2-2i√3

8 0

3 years ago

a box half full of apples weighs 40kg and the same box one fifth full weighs 22kg. what does the box weigh when empty?

likoan [24]

So in order to answer your question we calculate 40 - 22 wich gives us the answer of 18, so now we can say that 4/5 of apples weight 18 so now 18 / 4 = 4,5; 4,5 * 5 = 22,5 wich is the weight of apples you can put in the box, to know the answer we deduct the greatest weight of apples only from the weight of the box with those apples so, 40 - 22,5 = 17,5
so the answer to your question is 17,5
i hope i helped you

6 0

3 years ago

A person starts driving and travels 3 km east to a store. The person then turns around and travels 1 km west to another store. F

hodyreva [135]

4km west. 3-1=2 then 2+2=4 km west

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3 years ago

The median household incomes in dollars in four towns over time are shown. Assume the median incomes increase linearly. Median H

marysya [2.9K]

Answer:

Step-by-step explanation:

Household. Year 2010. Year 2015. Difference

Adderley. 47,200 58,200. 11,000

Bonniville. 52,900. 62,400. 9,500

Clay City. 44,600. 57,600. 13,000

Daletown. 41,500. 54,000. 12,500

Percentage increase for Adderley = 11,000/47,200 * 100= 23.3%

Percentage increase for Bonniville = 9,500/52,900 * 100= 17.96%

Percentage increase for Clay City = 13,000/44,600 * 100= 29.15%

Percentage increase for Daletown = 12,500/41,500 * 100= 30.12%

We can now see that Bonniville is the city with the lowest rate of increase in median household income.

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3 years ago

Sqrt(32x^3) - sqrt(16x^3) + root(4,x^3) -sqrt(2x^3)

almond37 [142]

An expression is defined as a set of numbers, variables, and mathematical operations. The simplified version of the given expression is (3√2-2)√x³.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression $\sqrt{32x^3} - \sqrt{16x^3} + \sqrt{4x^3} -\sqrt{2x^3}$ can be simplified as shown below.

$\sqrt{32x^3} - \sqrt{16x^3} + \sqrt{4x^3} -\sqrt{2x^3}\\\\=\sqrt{x^3}(\sqrt{32}-\sqrt{16}+\sqrt{4}-\sqrt{2}})\\\\= \sqrt{x^3} (4\sqrt{2}-4+2-\sqrt2)\\\\= \sqrt{x^3} (3\sqrt{2}-2)$

Hence, The simplified version of the given expression is (3√2-2)√x³.

Learn more about Expression:

brainly.com/question/13947055

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2 years ago