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AnnyKZ [126]
4 years ago
6

How many intersections are there of the graphs of the equations below? x + 5y = 6 3x + 30y = 36 none one two infinitely many How

many intersections are there of the graphs of the equations below? x + 5y = 6 3x + 30y = 36 none one two infinitely many
Mathematics
2 answers:
Aloiza [94]4 years ago
8 0

You can solve this system of the equations with graphical method or algebra method.

I solve this system with Gaus algorithm

first we divide second equation with number 3 and get x+10y=12

Than subtract first equation from second and get 5y=6 => y=6/5

now we replace y in the first equation and get x+5*(6/5)=6 =>x+6=6

=> x=0           (x,y)=(0,6/5)

Conclusion is that we have one intersection point between this two graphs.

Good luck!!!


FinnZ [79.3K]4 years ago
3 0

Answer:

Step-by-step explanation:

1

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Alex_Xolod [135]

Answer: r=C/2π

Step-by-step explanation:

Circumference= 2πr

C=2πr

Divide both side by 2π

C/2π = 2πr/2π

r = C/2π

7 0
3 years ago
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Solve |y + 2| > 6 im so confused
Talja [164]

Answer:

Below

Step-by-step explanation:

● |y+2| > 6

● y+2 > 6 or y+2 < -6

Add -2 in both sides in the two inequality.

● y+2-2 > 6-2 or y+2-2 < -6-2

● y > 4 or y< -8

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4 years ago
A rectangle is 6 units wide and x-8 units long. It has the same area as a triangle with the height of 7 units and a base of x-3
Snowcat [4.5K]
AREA OF A RECTANGLE IS 42 UNITS

Rectangle:                             Triangle: 
A = L * W                             A = hb / 2
A = (x-8) * 6                         A = (7(x-3)) / 2
A = 6x - 48                            A = (7x - 21) / 2

Since the problem states that both rectangle and triangle have the same area.Then:

6x - 48 = (7x - 21) / 2

1) Eliminate the denominator 2 by multiplying both sides by 2.

2 * (6x - 48) = 2 * ((7x - 21) / 2)
12 x - 96 = 7x - 21

Find x. Transfer like numbers and change their signs.

12x - 7x = 96 - 21
5x = 75
5x / 5 = 75 / 5
x = 15

Substitute x by its value:

Rectangle:                            Triangle
A = (x-8) * 6          -                A = (7(x-3)) / 2                      Areas of both Rectangle
A = (15 -8 ) * 6                       A = (7(15-3)) / 2                      and Triangle is the same.
A = 7 * 6                                  A = (7 * 12) / 2
A = 42 units                            A = 84 / 2
                                               A = 42 units

5 0
3 years ago
There are 200 marbles in the bag, John picks 10 marbles out of
Airida [17]

Answer:

Step-by-step explanation:

favorable success: 6/10

marbles: 200

So

P=Favorable cases/total cases

P=6(20)/10(20)

P=120/200

8 0
4 years ago
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The country of Whoville has export sales of $11 billion, government purchases of $907 billion, business investment is $35 billio
kupik [55]

The formula for GDP is,

\text{GDP}=C+I+G+(X-M)

Where

C is consumption

I is investment

G is government spending

X is exports

M is imports

From the problem, given,

C = 2097

I = 35

G = 907

X = 11

M = 26

(all in billions of dollars)

Let's substitute and figure out the GDP:

\begin{gathered} \text{GDP}=C+I+G+(X-M) \\ \text{GDP}=2097+35+907+(11-26) \\ \text{GDP}=3024 \end{gathered}

So,

The Gross Domestic Product (GDP) is 3,024 billion dollars
4 0
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