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xxMikexx [17]
3 years ago
15

If f(x) = -3x - 5 and g(x)= 4x - 2, find (f-g) (x).

Mathematics
1 answer:
Eddi Din [679]3 years ago
4 0

Answer:

-7x-3

Step-by-step explanation:

(f-g)(x) just means f(x)-g(x).

So

-3x-5-(4x-2)\\-3x-5-4x+2\\-7x-3

You might be interested in
Write an equation in standard form that is parallel to the line y = 2x - 1 that passes through the point (1, 2). 2x - y = 0 O x
timofeeve [1]

Answer:

2x - y = 0

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x - 1 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes, thus

y = 2x + c ← is the partial equation

To find c substitute (1, 2) into the partial equation

2 = 2 + c ⇒ c = 2 - 2 = 0

y = 2x ← equation in slope- intercept form

Subtract y from both sides

0 = 2x - y , that is

2x - y = 0 ← equation in standard form

5 0
3 years ago
Bryce tried to solve an equation step by step. \qquad\begin{aligned} \dfrac83&=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&
sesenic [268]

Answer:

Bryce is wrong in step 1 because he did not distribute 3 over 5/3

Explanation

Given the steps taken by bryce as shown, we are to find where he made an error

\qquad\begin{aligned} \dfrac83&=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&=3c+\dfrac53&\green{\text{Step } 1}\\\\ \\ 1&=3c&\blue{\text{Step } 2}\\\\ \\ \dfrac13&=c&\purple{\text{Step } 3}\\\\ \end{aligned}

Given the expression;

\dfrac83&=3\left(c+\dfrac53\right)\\\\ \\

Step 1:Expand the bracket using the distributive law;

8/3 = 3c + 3(5/3)

<em>Simplify</em>

8/3 = 3c + 15/3

Step 2: Subtract 15/3 from both sides

8/3 - 15/3 = 3c+15/3-15/3

(8-15)/3 = 3c

-7/3 = 3c

Step 3: Multiply both sides by 1/3

-7/3 * 1/3 = 3c * 1/3

-7/9 = c

Swap

c = -7/9

From the calculation, we can see that Bryce is wrong in step 1 because he did not distribute 3 over 5/3 thereby making his solution incorrect

3 0
2 years ago
En una fábrica, dos trabajadores llenan envases de gel
mojhsa [17]

Responder:

Contenedor 24

Explicación paso a paso:

Para obtener la cantidad de contenedores que deberán llenar para completar sus respectivos paquetes al mismo tiempo; obtener el mínimo común múltiplo de la agrupación adoptada por el primer y segundo trabajador;

Múltiplos de:

8: 8, 16, 24, 32, 40, 48, 56, ...

12:12, 24, 26, 48, 60, ....

Por lo tanto, el mínimo común múltiplo de 8 y 12 es 24.

Llenarán 24 contenedores

4 0
3 years ago
On a number line, what is the distance between –14 and –3?
Allisa [31]

Answer:

12

Step-by-step explanation:

if you find it difficult you can always write is down as a piece of side working

-14

-13

-12

-11

-10

-9

-8

-7

-6

-5

-4

-3

7 0
3 years ago
A pizza has 8 slices and papa gino's sells the whole pizza for $16. What is the unit rate for a slice of pizza?
BabaBlast [244]

Answer:

It would be $2 per piece, because 16 divided by 8 is two.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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