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krok68 [10]
2 years ago
9

У

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:

15<em>y</em> = -28 <em>x</em> + 205.

Step-by-step explanation:

Slope intercept  form of equation is <em>y = mx + c</em> 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:

<em> y = mx + c</em>

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,

15<em>y</em> = -28 <em>x</em> + 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&#10;\\(3x-2)+x=-6&#10;\\4x-2=-6&#10;\\4x=-4 \\x=-1

If x=-1:

y+(-1)=-6&#10;\\y=-5

So x=-1, y=-5
5 0
3 years ago
Read 2 more answers
X + 37<br> x + 67<br> 90<br> 104<br> 14<br> -14<br> -7°
natulia [17]
It would be 104? I don’t understand the question but I guessing you’re adding
8 0
3 years ago
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