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3 years ago

Which points represent an approximate solution to this system of equations? y=1/x-3 y=3-x³

Mathematics

1 answer:

NeX [460]3 years ago

3 0

Answer:

Options B and D

Step-by-step explanation:

we have

$y=\frac{1}{x-3}$ -----> equation A

$y=3-x^{3}$ -----> equation B

Solve the system of equations by graphing

The solution of the system of equations is the intersection point both graphs

The solutions are the points (1.545,-0.687) and (2.956,-22.835)

see the attached figure

The approximate solutions are

(1.5,-0.7) and (2.9,-22.8)

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Fourteen less children’s meals were served than adult meals at a barbecue. Children plate were 1.50 each and adult plates were 2

Annette [7]

Answer:

134 children and 120 adult plates were served

Step-by-step explanation:

let the children mean be x

Let the adult meal be y

If fourteen less children’s meals were served than adult meals at a barbecue, then;

y = x - 14 .... 1

IF Children plate were 1.50 each and adult plates were 2.00 each with a total of 441 in amount then;

1.5x + 2y = 441 .... 2

Substitute 1 into 2;

1.5x + 2(x-14) = 441

1.5x+2x-28 = 441

3.5x = 441+28

3.5x = 469

x = 469/3.5

x = 134

Recall that y = x - 14

y = 134-14

y = 120

Hence 134 children and 120 adult plates were served

7 0

3 years ago

a taxi ride costs 40 dollars for the first 500 meters and each additional 300 meters (or a fraction thereof) adds $3.50 to the f

Colt1911 [192]

Answer:

$ 71.5

Step-by-step explanation:

firstly kilometer to meters

1 km = 1000 m

therefore 3 km = 3000m

for the first 500 = $40

hence deduct the 500 from 3000m

3000 - 500 = 2500

now find out how many 300m go into 2500

2500 / 300 = 8.33

which is rounded up to 9

therefore the total amount is :

40 + 9 * 3.5

= $71.5

5 0

3 years ago

5x+8y=6p Solve for y

MariettaO [177]

5x + 8y = 6p Subtract 5x from both sides
8y = 6p - 5x Divide both sides by 8
y = $\frac{6}{8}$ p - $\frac{5}{8}$ x

5 0

3 years ago

A person's part-time job pays $5.50 per hour. Write an expression to represent the amount he earns for working n hours.

solniwko [45]

5.50(n) would be an expression to represent the amount he earns.

4 0

3 years ago

For mnyangel only if u arent them u may ignore

Alexxandr [17]

Hi just replying to get points:)!!

7 0

3 years ago

Read 2 more answers