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3 years ago

Can someone help me please asap

Mathematics

1 answer:

irina1246 [14]3 years ago

3 0

Answer:

the slope is 1/3

the y-intercept is at (0,3)

y = 1/3×x + 3

Step-by-step explanation:

a line has the equation

y = a×x + b

the 2 points we were given as being in the line allow us to define now 2 equations to solve for the 2 variables a and b :

3 = a×0 + b => b = 3

2 = a×-3 + b

=> 2 = a×-3 + 3

-1 = a×-3

1 = a×3

a = 1/3

so, our equation is

y = 1/3×x + 3

the slope or incline of the line is expressed by the y/x ratio or simply a, the factor of x. and that is 1/3.

it is positive, as the line goes up (looking from left to right).

and it means that the value of x has to increase by 3 units, so that y increases by 1 unit.

the y-intercept is the point with x=0. so, that is the already predefined point (0,3).

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3 years ago

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ikadub [295]

Answer:

$p(a, b) = (1, 1)$

Step-by-step explanation:

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3 years ago

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Doss [256]

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3 years ago

Tickets to a concert cost $2 for children, $3 for teenagers and $5 for adults. When 570 people attended the concert, the total t

Ilia_Sergeevich [38]

Answer: 220

Step-by-step explanation:

Children (x): $2

Teens (y): $3, $\frac{3}{4}x$

Adults: (z): $5

Quantity: x + y + z = 570 ⇒ x + $\frac{3}{4}x$ + z = 570 ⇒ 1.75x + z = 570

Cost: 2x + 3y + 5z = 1950 ⇒ 2x + 3 $(\frac{3}{4}x)$ + 5z = 1950 ⇒ 2x + 2.25x + 5z = 1950 ⇒ 4.25x + 5z = 1950

Qty: 1.75x + z = 570 → 5(1.75x + z = 570) → 8.75x + 5z = 2850

Cost: 4.25x + 5z = 1950 → -1(4.25x + 5z = 1950 → -4.25x - 5z = -1950

4.50x = 900

x = 200

Teens (y): $\frac{3}{4}x$

y = $\frac{3}{4}(200)$

= $\frac{600}{4}$

= 150

Quantity: x + y + z = 570

200 + 150 + z = 570

350 + z = 570

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3 years ago

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