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2 years ago

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Mathematics

1 answer:

rjkz [21]2 years ago

8 0

Answer:

I think it might be D

Step-by-step explanation:

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15. Construct the slope-intercept form equation of the line passing through (-5,23) and (10,-5).

Radda [10]

Answer:

15y = -28 x + 205.

Step-by-step explanation:

Slope intercept form of equation is y = mx + c where m is slope and c is the y intercept.

Now slope of line passing through points (-5, 23) and (10, -5):

$m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \frac{-5 -23}{10 + 5} = \frac{-28}{15}$

Now equation of line:

y = mx + c

substituting the value of m in above expression,

$y = -\frac{28}{15} x + c$

Now, since the line is passing through the point (-5, 23) therefore, x = -5 and y = 23. By substituting these values in above equation,

$23 = -\frac{28}{15} \times (-5) + c$

$23 = \frac{28}{3} + c$

$c = 23 - \frac{28}{3} = \frac{69 - 28}{3} = \frac{41}{3}$

So equation of line in slope intercept form:

$y = -\frac{28}{15} x + \frac{41}{3}$

Further solving,

15y = -28 x + 205.

3 0

2 years ago

three friends earned more than $200 washing cars. they paid their parents $28 for supplies and divided the rest of money equally

Flura [38]

28x+86≤200 because for supplies they divide the rest of money. that means, 200-28=172 so 172/2=86 now we gonna find the value of x.
28x+86≤200 i am gonna subtract 86 both of side 28x+86-86≤200-86 to get value of x.
28x≤114 divide 28 both of side to get value of x so it will be x≤4

7 0

3 years ago

Read 2 more answers

Imagina que vas a un partido de béisbol con tus amigos, y tienen hambre. El costo de dos botellas de agua y 3 bolsas de palomita

Rudik [331]

Answer:

El costo de una botella de agua es de $10

El costo de una bolsa de palomitas de maíz es de $15.

Step-by-step explanation:

Los parámetros dados son;

El costo de dos botellas de agua y 3 bolsas de palomitas de maíz = $65

El costo de 4 botellas de agua y 1 bolsa de palomitas de maíz = $55

Donde x = El costo de una botella de agua ey = El costo de una bolsa de palomitas de maíz, tenemos;

2 × x + 3 × y = 65 ... (1)

4 × x + y = 55 ... (2)

Haciendo y el tema de ambas ecuaciones, tenemos;

Para la ecuación (1), tenemos;

2 · x + 3 · y = 65

3 · y = 65 - 2 · x

y = 65/3 - 2/3 · x

Para la ecuación (2), tenemos;

4 · x + y = 55

y = 55 - 4 · x

Igualando ambos valores de y para encontrar la solución común, tenemos;

65/3 - 2/3 · x = 55 - 4 · x

4 · x - 2/3 · x = 55 - 65/3

10 · x / 3 = 100/3

∴ 10 · x = 100

x = 100/10 = 10

x = 10

El costo de una botella de agua = x = $10

y = 55 - 4 · x = 55 - 4 × 10 = 55 - 40 = 15

y = 15

El costo de una bolsa de palomitas de maíz = y = $15

4 0

3 years ago

What is Y-3x=-2 and Y+x=-6

love history [14]

Rearranging the first equation gives:

$y=3x-2$

Substituting this into the other equation gives:

$y+x=-6
\\(3x-2)+x=-6
\\4x-2=-6
\\4x=-4 \\x=-1$

If x=-1:

$y+(-1)=-6
\\y=-5$

So x=-1, y=-5

5 0

3 years ago

Read 2 more answers

X + 37 x + 67 90 104 14 -14 -7°

natulia [17]

It would be 104? I don’t understand the question but I guessing you’re adding

8 0

3 years ago