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3 years ago

Which of the following graphs best represents the solution to the following systems of equations?

1 answer:

8 0

Let's solve for x.
3
x
+
5
y
=
10
Step 1: Add -5y to both sides.
3
x
+
5
y
+
−
5
y
=
10
+
−
5
y
3
x
=
−
5
y
+
10
Step 2: Divide both sides by 3.
3
x
3
=
−
5
y
+
10
3
x
=
−
5
3
y
+
10
3
Answer:
x
=
−
5
3
y
+
10
3

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PLEASE HELP!!!!!

Zielflug [23.3K]

Question #1

Part A:
The y-intercept can be found when x = 0. If you look at your table, when x = 0, y = 5. So the y-intercept is 5.

Part B:
$\sf Slope = \frac{27-5}{1-0} = \frac{22}{1} = \boxed{22}$
The slope is 22.

Part C:
y = mx + b
y = 22x + 5

We are given 225 as the range, or in place of y.
225 = 22x + 5
220 = 22x
x = 10

The domain is 10.

Question #2

Part A:

(2,255)
(5,480)

Standard form is Ax + By = C

$\sf Slope = \frac{y_2-y_1}{x_2-x_1} = \frac{480-225}{5-2} = \frac{255}{3} = \boxed{85}$

Let's plug this into this form first:
$y - y_1 = m(x-x_1)\\\\y -225 = 85(x-2)\\\\y - 225 = 85x - 170\\\\y = 85x + 55$

Now, let's make it into Standard Form.
$y = 85x + 55\\\\y - 85x + 55\\\\ -85x + y = 55\\\\ -1(-85x +y) = -1(55)\\\\\boxed{85x - y = -55}$
What, which is in the box, is your final answer. :)

Part B:
Function notation simply means replacing y with f(x).
We had y = 85x + 55
So your answer is:
$\boxed{f(x) = 85x + 55}$

Part C:
Using the final answer which we got in Part A, we would know that the y-intercept is (0,55) and the x-intercept is (-55/85, 0). We would plot these 2 points, and then draw a line between them. :)

5 0

3 years ago

John takes out a personal loan for $5,000 at an annual interest rate 7.5%, compounded monthly. He plans to pay off the loan (inc

myrzilka [38]

Answer:

155.53

Step-by-step explanation:

I know where this question is from hahaha

6 0

3 years ago

6(y+1.5)=18<br> what does y equals?

leva [86]

Answer:

Step-by-step explanation:

6y+9=18

6y=2

y=1/3

3 0

3 years ago

Read 2 more answers

Maritza esta vendiendo una bicicleta seminueva que ya no utiliza. Como le costo doscientos soles, incluido IGV, ahora la venderá

Sophie [7]

Answer:

Ok, primero, como lo deducimos gráficamente?

Sigamos estos pasos.

Dibujemos en una recta, la distancia entre el punto 0 soles y el precio de la bicicleta = 200 soles.

200 soles representa el 100%.

Ella lo quiere vender al 80% (o le quiere restar el 20%).

Entonces, con una regla, medir la distancia entre 0 soles y 200 soles.

Dividir esa cantidad por 10. (cada una de estas cantidades va a representar un 10%)

Multiplicar eso por 8.

Esa cantidad es el equivalente al 80% del precio de la bicicleta.

Abajo hay un dibujo donde se ve el método.

Una forma mas matemática de resolverlo es:

200 soles = 100%.

x soles = 80%

x es el precio al que ella va a vender la bicicleta:

Veamos el cociente de esas dos ecuaciones:

200/x = 100%/80%

x = 200*(80%/100%) = 160

Ella vendería la bicicleta en 160 soles.

8 0

3 years ago

PLS HELP!!<br><br> KDJSKSKKSJDKS

Yuliya22 [10]

I think the answer is A.......

3 0

3 years ago