5.3.4
Journal:Two-Variable Systems:

2. Do you agree that your classmate set up the equations correctly? Explain why or why not. (2
points: 1 point for yes/no answer, 1 for explanation)

Answer:

The taxi charges $10 as the flat rate for the first 3 miles and $2.50 for each additional mile.

Step-by-step explanation:

Answer:

18$ for 9 attendees

Step-by-step explanation:

Answer:

1) El helado costó $135,65.

2) a) Gastó en total $487,5. b) Le dieron $112,5 de vuleto.

Step-by-step explanation:

1) Podemos encontrar el costo del helado como sigue:

[tex] T = J + A + H [/tex]

[tex] H = T - J - A = 250 - 28,85 - 85,50 = 135,65 [/tex]

Por lo tanto, el helado costó $135,65.

2) a) Para saber cuanto dinero gastó debemos sumar todos los precios:

[tex] T = B_{p} + B_{g} + P = 349,50 + 108,25 + 29,75 = 487,5 [/tex]

Entonces, gastó en total $487,5.

b) Si pagó con $600, su vuelto fue:

[tex] V = 600 - T = 600 - 487,5 = 112,5 [/tex]

Le dieron $112,5 de vuleto.

Espero que te sea de utilidad!

Answer:

Summary:

Standard form allow us to quickly find the y-intercept.

Vertex form allow us to quickly locate the vertex.

And factored form allows us to quickly determine the roots/zeros.

Step-by-step explanation:

The three forms of quadratics are the standard form, vertex form, and the factored form. Each of them reveals a specific part about the quadratic.

Standard Form:

The standard form of a quadratic is:

[tex]ax^2+bx+c[/tex]

There are only two details that can be conveyed by a quadratic in standard form immediately: (1) the leading coefficient a, and (2) the y-intercept.

The leading coefficient a will tell us if the parabola curves upwards or downwards.

And the constant c will give us the y-intercept.

Vertex Form:

The vertex form of a quadratic is:

[tex]a(x-h)^2+k[/tex]

There are also two details that can be conveyed by a quadratic in vertex form:  (1) the vertex, and (2) the leading coefficient.

The leading coefficient is given by a. Again, this tells us the orientation of the parabola.

And the vertex is given by (h, k).

Hence, in my opinion, vertex form is the best form of a quadratic since it immediately reveals the vertex, the most important aspect of a quadratic.

Factored Form:

The factored form of a quadratic is:

[tex]a(x-p)(x-q)[/tex]

Where p and q are the zeros/roots/solutions of the quadratic.

Again, factored form gives us two details about the quadratic: (1) the leading coefficient, and (2) the zeros.

The zeros tells us when the parabola crosses the x-axis, which can assist in graphing.

Summary:

Therefore, each form of a quadratic equation has its own benefits.

Standard form allow us to find the y-intercept.

Vertex form allow us to quickly locate the vertex.

And factored form allows us to quickly determine the roots/zeros.

Hence, depending on the question, each form can be useful in its own way.

Answer:

radicand

Step-by-step explanation:

Answer:

y = 2x

Step-by-step explanation:

Since we are told what to find, we can find the equation of the line that models the statement.

Using the equation of a line

y = MX+c.

m is the slope

c is the intercept

x represents the number of kids in a group (slope)

y represents the total number of caramel chews Gabe gives to that group.

If Gabe gives a group of 3 kids a total of 6 caramel chews and he gives a group of 5 kids 10 caramel chews, we can represent this as coordinate points;

(3,6) and (5,10)

Get the slope

M = 10-6/5-3

M = 4/2

M = 2

Get the intercept by substituting m= 2 any of the points (let's use (3,6)) into the expression y = MX+c to get the value of c;

y = MX+c

6. = 2(3)+c

c = 6-6

c = 0

Substitute m = 2 and c = 0 to get the required equation

y = MX+c

y = 2x+0

Hence the equation that models the statement is y = 2x

Answer:

[tex]189 {m}^{3} [/tex]

Step-by-step explanation:

[tex]9 \times 3 \times 7 \\ = 189 {m}^{3} [/tex]

[tex]3 \times 9 \times 7 \\ = 189 {m}^{3} [/tex]

Answer:

Blank 1. -2x+4

Blank 2. x+2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

its supposed to be 14 know how to play the violin.  Your answer is A

Answer:

C would be the answer

Step-by-step explanation:

Answer:

84 grams and 5 ounces

Step-by-step explanation:

because one ounce equals 28 grams, that means 3 ounces = 3 * 28 = 84

because 28 grams equals 1 ounce, 140 grams = 140 / 28 = 5 ounces

Answer:

Kay sold 6 boxes and Ayan sold 19 boxes

Step-by-step explanation:

Let x be the number of boxes sold by Kay and

Let y be the number of boxes sold by Ayan

Then according to given statements, the equations will be:

[tex]x+y = 25\ \ \ Eqn\ 1\\x = y-13\ \ \ Eqn\ 2[/tex]

Putting x = y-13 in equation 1

[tex]y-13+y = 25\\2y-13=25\\2y=25+13\\2y = 38\\\frac{2y}{2} = \frac{38}{2}\\y = 19[/tex]

Putting y = 19 in equation 2

[tex]x = 19-13 = 6[/tex]

So we get x=6 and y=19

Hence,

Kay sold 6 boxes and Ayan sold 19 boxes

Answer:

y = 1/4x + 1

Step-by-step explanation:

Answer:

5, 1.75, .001, and -0.1

Step-by-step explanation:

Number As a Fraction Rational?

5                  5/1             Yes

1.75                  7/4              Yes

.001               1/1000      Yes

−0.1               −1/10              Yes

Hope this Helps (✿◡‿◡)

P.S I got this off the internet.

Answer:

-7

Step-by-step explanation:

Answer:

hello guys ^_^ its -7 and if it is wrong don't be afraid to tell me

~your friendly austrailian~

Answer:

63

Step-by-step explanation:

9x7=(10x7)-1x(7)

=70-7

=63

Answer:

10

Step-by-step explanation:

place when expense and income intersect

Answer:10

Step-by-step explanation:

The 2nd one or either the last one, I suggest the last one hope this helps!!

Answer:

332

Step-by-step explanation:

Since Dana had the closest guess with 325 people and Elijah had the second closest guess with 340 people we know that the actual number of guests is close to these values. Since Brady had the farthest guess then that means that the actual number of guests is higher than 325 and lower than 340. Therefore the actual number of guests can only be 332 as it is between Dana and Elijah's guesses but still favoring Dana, and also being farthest from Brady's guess.

Answer:

This is easier to explain with pictures, but I'll try here. The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Answer:

(0,-2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

An altitude is a line segment that meets the side opposite the vertex at right angles. The line also has to go through the vertex.

The only line that does both those things is DE.

Answer:

-3x^2 - 21x

Step-by-step explanation:

This question is representing multiplying two functions :

We are finding f(x) * g(x)

We know that f(x) is -3x and g(x) is x + 7, therefore :

(-3x)(x + 7)

Follow FOIL :

First :

(-3x)(x)

-3x^2

Outer :

(-3x)(7)

-21x

Therefore the answer is :

-3x^2 - 21x

Answer:

We are given

Scientist begins with 150 milligrams of a radioactive substance

so,

we can use formula

we can plug Po=150

After 29 hours, 75 mg of the substance remains

so, at t=29 , P=75

we can plug it

now, we can solve for k

now, we can take ln on both sides

now, we can plug it back

and we get

we can plug t=33

we get

..............Answer

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

Since the triangle is isosceles then the 2 legs are congruent.

Given the perimeter is 66, then sum the 3 sides and equate to 66, that is

x + 4x - 3 + 4x - 3 = 66 , that is

9x - 6 = 66 ( add 6 to both sides )

9x = 72 ( divide both sides by 9 )

x = 8

Answer:

x=-70

Step-by-step explanation:

x+47=-23

-47   -47

_______________

x=-70

Hope this helps :D

Answer:

X=70

Step-by-step explanation:

Answer: between $4 and $5; inclusive

Answer: 2x+y=-6

Step-by-step explanation:

Answer:

B (300, 400)

Step-by-step explanation:

The profit maximization will be when the sum of the products will be greater. The maximum profit will be when x is 300 and y is 400. If we put in the equation :

P = 40x + 55 y

A - When x =  0 , y = 500

P = [40 * 0] + [55 * 500]

P = 27500

B -

When x =  300 , y = 400

P = [40 * 300] + [55 * 400]

P = 34000

C -

When x =  380 , y = 200

P = [40 * 380] + [55 * 200]

P = 26200

D -

When x =  400 , y = 0

P = [40 * 400] + [55 * 400]

P = 16000