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Andrew [12]
3 years ago
10

Solve the system of functions below: -9x = (-2x^2)-4-y x = (-y+6)/3

Mathematics
1 answer:
Sindrei [870]3 years ago
7 0

Point Form:

(1,3) (5,-9)

Equation Form:

x=1 y=3

x=5 y=-9

solve for the first variable in one of the equations, then substitute the result into the other equation.

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A certain field is a rectangle with a perimeter of 862 feet. The length is 179 feet more than the width. Find the width and leng
Galina-37 [17]

Answer: length = 305 feet

Width = 126 feet

Step-by-step explanation:

Let L represent the length of the rectangular field.

Let W represent the width of the rectangular field.

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + W)

The perimeter of a garden is 88 feet. This means that

2(L + W) = 862

Dividing through by 2, it becomes

L + W = 431 - - - - - - - - - - - -1

The length is 179 feet more than the width. This means that

L = W + 179

Substituting L = W + 179 into equation 1, it becomes

W + 179 + W = 431

2W + 179 = 431

2W = 431 - 179

2W = 252

W = 252/2

W = 126

L = W + 179 = 126 + 179

L = 305

6 0
3 years ago
Solve pls help 6x 3354
Alborosie

if you multiply 6 and 3354 the answer is equal to 20124

7 0
3 years ago
Workland has a population of 10,000, of whom 7,000 work 8 hours a day to produce a total of 224,000 final goods. Laborland has a
kenny6666 [7]

Answer:

Workland has lower productivity but higher real GDP per person than Laborland.

Step-by-step explanation:

Consider the provided information.

Workland has a population of 10,000, of whom 7,000 work 8 hours a day to produce a total of 224,000 final goods.

Productivity = Output / Input

For Workland productivity is:

\frac{224,000}{7,000 \times 8}=\frac{224,000}{56,000}= 4

Laborland has a population of 5,000, of whom 3,000 work 7 hours a day to produce a total of 105,000 final goods.

For Laborland, productivity is:

\frac{105,000 }{3,000\times 7}=\frac{105,000 }{21,000 }= 5

Thus, Laborland has higher productivity .

To figure real GDP per person, divide output by population:

For Workland,

\frac{224,000}{10,000}= 22.4

for Laborland,

\frac{105,000 }{5,000 }= 21

Thus, Workland has a higher real GDP per person.

7 0
3 years ago
He school that Tony goes to is selling tickets to a play. On the first day of ticket sales the school
UNO [17]

Answer:

The price of 1 adult ticket is 12 dollars, and the price of a ticket for one student is 7 dollars

Step-by-step explanation:

Make a system of equations for the two days that the play was shown.

Let x = the price of an adult ticket

Let y = the price of a student ticket

For the first day:

<h3>9x+8y=164</h3>

For the second day:

<h3>2x+7y=73</h3>

Now, we can solve using the elimination method. Multiply the first equation by 2 and the second equation by 9. Then swap the order of the equations.

<h3>18x+63y= 657</h3><h3>-</h3><h3>18x+16y= 328</h3><h3>0x+ 47y= 329</h3><h3>divide both sides by 47</h3><h3>y = 7</h3><h3>Plug in 7 for y for the 2nd equation</h3><h3>2x+7(7)=73</h3><h3>2x+49=73</h3><h3>subtract 49 from both sides</h3><h3>2x= 24</h3><h3>divide both sides by 2</h3><h3>x = 12 </h3><h3>Check:</h3><h3>2(12)+7(7)=73</h3><h3>24+49= 73!</h3>
8 0
3 years ago
Read 2 more answers
The height of a door would be about <br><br> A: 8 inches<br> B: 8 feet<br> C: 8 yards<br> D: 8Miles
liq [111]

8 inches :) (im pretty sure)

8 0
3 years ago
Read 2 more answers
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