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3 years ago

Which statement is true regarding the functions on the

Mathematics

1 answer:

prisoha [69]3 years ago

3 0

Answer:

f(2) = g(2)

General Formulas and Concepts:

Alg I

Reading a Cartesian Plane
Identifying Coordinates
Solutions of systems of equations

Step-by-step explanation:

We see from the graph that f(x) and g(x) intersect at x = 2. Therefore, the point at x = 2 would be equivalent in both graphs/be a solution to both equations.

Therefore, f(2) must equal g(2), as they intersect each other at that point and have the same value of 0.

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Solve the system of equations: 2x + 9y = 0 and 3x + 5y = 17.

choli [55]

2x + 9y = 0 (1st)
3x + 5y = 17 (2nd)

multiply (st) by 3 and (2nd) by 2

6x + 27y = 0 (1st)
6x + 10y = 34 (2nd)
----------------------------subtract
17y = -34
y = -2

2x + 9y = 0
2x +9(-2) = 0
2x = 18
x = 9

answer
(9, -2)

7 0

3 years ago

The current value of a new car is $18,000. The car will depreciate 15% per year over the next 5 years. Which exponential equatio

dedylja [7]

Answer:

f(x) = 18,000 • 0.85^x

Step-by-step explanation:

4 0

3 years ago

QUESTION 20

Elodia [21]

Answer:

B. -55

Step-by-step explanation:

La resta entre ambas funciones consiste en la sustracción de términos semejantes como demostraremos a continuación:

1) $f(x) =-2\cdot x ^{2}-6$ Dado

2) $g(x) = x+4$ Dado

3) $(f-g)(x) = (-2\cdot x^{2}-6)-(x+4)$ Definición de resta de funciones.

4) $(f-g)(x) = (-2\cdot x^{2}-6)+(-1) \cdot (x+4)$ $(-1)\cdot a = -a$

5) $(f-g)(x) = (-2\cdot x^{2}-6) + (-x-4)$ Propiedad distributiva/ $(-1)\cdot a = -a$

6) $(f-g)(x) = -2\cdot x^{2}-x+(-6-4)$ Propiedad conmutativa

7) $(f-g) (x) = -2\cdot x^{2}-x-10$ Sustracción de términos semejantes/Resultados.

A continuación, evaluamos la función resultante en $x = -5$ :

$(f-g)(-5) = -2\cdot (-5)^{2}-(-5)-10$

$(f-g)(-5) =-55$

Por ende, la respuesta correcta es B.

8 0

3 years ago

How do you solve this whole thing please?

NemiM [27]

Answer:

Step-by-step explanation:

Let's look at the first two, and hopefully you'll be able to figure the rest out:

1. Answer below

$d = rt$

The problem asks us to solve for $r$ , so that means we need to get $r$ on one side of the equation by itself. To do so, we will need to divide both sides of the equation by $t$ :

$\frac{d}{t} = \frac{rt}{t}$

$\frac{d}{t} = r$

2. Answer below

$B = T - Lc$

The problem asks us to solve for $T$ , so that means we need to get $T$ on one side of the equation by itself. To do so, we will need to add $Lc$ to both sides of equation:

$B + Lc = T - Lc + Lc$

$B + Lc = T$

7 0

3 years ago

Help?

Gre4nikov [31]

A = P(1 + r)^t is the interest formula
A = 1000(1 + .02)^t
A = 1000(1.02)^t
I'm not sure which of your two answers A or C have the t raised to a power but you need to choose the one with the t raised to a power.

6 0

3 years ago