Write an equation in slope-intercept form then Graph. 3x-6y=-12

Answers

Answer 1

Answer:

Here is the graph for 3x-6y=-12

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What plus 1/3 equals a whole

Answers

2/3 thtas the number you are looking for

If h(x)=(fog)(x) and h(x)=³√x+3, find g(x) if f(x) =³√x+2

Answers

Answer:

$g(x)=x+1$

The problem:

Find $g(x)$ if $h(x)=(f \circ g)(x)$ ,

$h(x)=\sqrt[3]{x+3}$ , and

$f(x)=\sqrt[3]{x+2}$ .

Step-by-step explanation:

$h(x)=(f \circ g)(x)$

$h(x)=f(g(x))$

Replace $x$ in $f(x)=\sqrt[3]{x+2}$ with $g(x)$ since we are asked to find $f(g(x))$ :

$\sqrt[3]{x+3}=\sqrt[3]{g(x)+2}$

$\sqrt[3]{x+1+2}=\sqrt[3]{g(x)+2}$

This implies that $x+1=g(x)$

Let's check:

$(f \circ g)(x)$

$f(g(x))$

$f(x+1)$

$\sqrt[3]{(x+1)+2}$

$\sqrt[3]{x+1+2}$

$\sqrt[3]{x+3}$ which is the required result for $h(x)$ .

When solving an inequality, when does the sign change?

Answers

The sign changes when you MULTIPLY or divide by a negative on both sides :)

The graph shows the relationship between pounds of dog food and total cost, in dollars, for the dog food. Which statement(s) about the graph is/are true? A. Point (0, 0) shows the cost is $0 for 0 pound of dog food. B. Point (1, 0.5) shows the cost is $1 for 0.5 pound of dog food. C. Point (2, 1) shows that 2 pounds of dog food cost $1. D. Point (4, 2) shows the cost is $4 for 2 pounds of dog food. E. Point (10, 5) shows that 10 pounds of dog food costs $5.sorry there is a graph, I cant paste it

Answers

we know that x-axis represents weight of dog food in pounds

and y-axis represents total cost in dollars

and a line connects (0,0) and (10,5)

based on the information we can plot a graph that can be seen in the attached image. the line represents y = $(x)/(2)$

now, let's look at each of the statements to see which is true and which is false:

a) point (0, 0) shows the cost is $0 for 0 pound of dog food.

(0,0) indicates that the cost for 0 pound dog food is $0. hence, this statement is true.

b) point (1, 0.5) shows the cost is $1.00 for 0.5 pound of dog food.

(1,0.5) indicates that the cost for 1 pound dog food is $0.5. hence, this statement is false.

c) point (2, 1) shows that 2 pounds of dog food cost $1.

(2,1) indicates that the cost for 2 pounds dog food is $1. hence, this statement is true.

d) point (4, 2) shows the cost is $4 for 2 pounds of dog food.

(4,2) indicates that the cost for 4 pounds dog food is $2. hence, this is false.

e) point (10, 5) shows that 10 pounds of dog food costs $5

(10,5) indicates the cost for 10 pounds dog food is $5. hence, this is true.

Jordan saved 4/5 of the amount he needs to buy a $80 video game. If he earns $7.75 per hour by working at a pizza shop, how many hours does he need to work to save the rest of the money for the video game? round to the nearest hour

Answers

Amount of money saved by Jordon for the video game = (4/5) * 80
      = 4 * 16 dollars
   = 64 dollars
So
The amount of money that
Jordan needs to earn more for buying the video game = (80 - 64) dollars
   = 16 dollars
Amount earned by Jordan per hour working at a pizza shop = $7.75
Let us assume the number of hours Jordan needs to work to save the rest of the money for the video game = x
Then
7.75x = 16
x = 16/7.75
   = 2.06 hours
So it can be said that Jordan has to work 3 hours to save the rest of the money for the video game. If Jordan works 2 hours then he will be short of the required amount. If Jordan works for 3 hours he will have some excess amount in his hand after saving for the video game.

la suma de nataly y nicole es 18 años si nicole es mayor q nataly por 2 años ¿cual es la edad de nicole?

Answers

Nicole seria 16
Nicole would be 16

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