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3 years ago

2x - 3y = 8 -2x + 6y = -20 x = ? y = ? solve the system of equations

Mathematics

1 answer:

Zolol [24]3 years ago

7 0

Answer:

x = 4 + 3/2y

y = -8/3 + 2/3x

1. Finding X

2x-3y=8

2x=8+3y

x+4+3/2y

2. Finding Y

2x-3y=8

-3y=8-2x

y=-8/3+2/3x

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Write 1/3 as a power with an integer base

Viefleur [7K]

Answer:

$3^{-1}$

Step-by-step explanation:

Using the rule of exponents

$\frac{1}{a^{n} }$ ⇔ $a^{-n}$

Given

$\frac{1}{3}$ = $\frac{1}{3^{1} }$ = $3^{-1}$

7 0

2 years ago

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A privately owned lake contains two types of game fish, bass and trout. The owner provides two types of food, A and B, for these

Vinvika [58]

Answer:

133 fishes

Step-by-step explanation:

Units of food A = 400 units

Units of food B = 400 units

Fish Bass required 2 units of A and 4 units of B.

Fish Trout requires 5 units of A and 2 units of B.

i. For food A,

total units of food A required = 2 + 5

= 7 units

number of bass and trout that would consume food A = 2 x $\frac{400}{7}$

= 114.3

number of bass and trout that would consume food A = 114

ii. For food B,

total units of food B required = 4 + 2

= 6 units

number of bass and trout that would consume food B = 2 x $\frac{400}{6}$

= 133.3

number of bass and trout that would consume food B = 133

Thus, the maximum number of fish that the lake can support is 133.

4 0

2 years ago

The number of users on a website has grown exponentially since its launch. After 2 months, there were 90 users. After 4 months,

grigory [225]

Answer:

10(3)^x

Step-by-step explanation:

The function contains the points (2,90) and (4,810). Use the general form y=abx to write two equations:

90=ab^2 and 810=ab^4

Solve each equation for a:

a=90/b^2 and a=810/b^4

Since a=a, set the other sides of the equations equal and solve for b.

90/b2=810/b4

Cross multiply, then divide and simplify as follows:

90b^4=810b^2

b^4/b^2=810/90

b^2=90

b^3

Now, use the value of b and the point (2,90) to find the value of a.

90=a(3^2)

a=10

So, substitute answers in original equation for a final answer of f(x)=10(3)^x.

8 0

3 years ago

A dog eats 1/2 of a cup of dog food per meal. how many meals are in a 6-cup bag of dog food

love history [14]

6 / 1/2
that's 6 * 2
There are 12 meals in a bag of dog food

5 0

3 years ago

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In a city the distance between the libary and the police station is 3 miles less than than the distance between the police stati

Mademuasel [1]

Answer:

8 miles

Step-by-step explanation:

Given

Represent the police station with P, Library with L; Fire station with F

The first statement can be represented as:

$L - P = P - F - 3$

The second can be represented as:

$L - P = 5$

Required

Determine the distance between the police station and the fire station (P - F)

$L - P = P - F - 3$ --- (1)

$L - P = 5$ --- (2)

Substitute 5 for L - P in (1)

$5 = P - F - 3$

Add 3 to both sides

$3 +5 = P - F - 3 + 3$

$3 +5 = P - F$

$8= P - F$

$P - F = 8$

5 0

3 years ago