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oee [108]
3 years ago
10

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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Gilda drove 650miles at an average speed of 50 miles per hour.how many miles per hour faster would she have had to drive in orde
zzz [600]
T=650mi(hr/50mi)=13 hr

t-1=12 hr

12=650/(50+v)  multiply both sides by 50+v

600+12v=650  subtract 600 from both sides

12v=50  divide both sides by 12

v=25/6 mph

v≈4.17mph


6 0
3 years ago
Determine the midpoint between the two points x(4,-6) and y(-2,8)
ikadub [295]

Answer:

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

Step-by-step explanation:

Midpoint formula is

p(a, b)=(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} ) ---------------(1)

Here

(x_1, y_1) = (4, -6) \ \ \ and \ \ \ (x_2, y_2) = (-2, 8)

Substituting values in equation (1)

p(a, b)=(\frac{4 - 2}{2}, \frac{-6 + 8}{2} )

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

6 0
3 years ago
An equation ___ has one solution <br><br> A. Always <br> B. Sometimes <br> C. Never
Doss [256]

im am pretty sure it is b.sometimes because an equation can have more then one answer

4 0
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

<u>Step-by-step explanation:</u>

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 → <u> -4.25x - 5z</u> = <u>-1950 </u>

                                                                                  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

                                    z = 220


6 0
3 years ago
An insect is 3 inches long. What is the length to the nearest hundredth of a centimeter
densk [106]
1 inch = 2.54 cm
3 inches = 3 * 2.54 = 7.62 cm
6 0
3 years ago
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