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2 years ago

Which graph represents the linear function y = x 3/4– 4?

Mathematics

1 answer:

ahrayia [7]2 years ago

3 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$y=\frac{3}{4}x-4$

This is a linear equation (the graph is a line)

To identify the graph find out the intercepts

<u><em>Find out the y-intercept</em></u>

The y-intercept is the value of y when the value of x is equal to zero

For x=0

$y=\frac{3}{4}(0)-4=-4$

The y-intercept is the point (0,-4)

<u><em>Find out the x-intercept</em></u>

The x-intercept is the value of x when the value of y is equal to zero

For y=0

$0=\frac{3}{4}x-4$

$\frac{3}{4}x=4$

$x=16/3=5.33$

The x-intercept is the point (5.33,0)

therefore

The graph in the attached figure

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Sally bought some candy bars for $1.25 each and some sodas for $1.49 each. If she bought a total of 38 items and spent $50.38 ho

hammer [34]

Answer:

26 candy bars and 12 sodas

Step-by-step explanation:

This problem can be solved by a simple system of equations

I am going to call x the number of candy bars that Sally bought and y the number of sodas that Sally bought.

The fact that she bought 38 itens means the x + y = 38.

She spent $50.38. The value she spent is the sum of the number of candy bars multplied by the value of the candy bar and the number of sodas multiplied by value of a soda. So 1.25x + 1.49y = 50.38

So we have to solve the following system:

1)x + y = 38

2)1.25x + 1.49y = 50.38

From 1), we have that x = 38 - y. I am going to replace it in 2)

1.25(38-y) + 1.49y = 50.38

-1.25y + 1.49y = 50.38 - 47.5

0.24y = 2.88

y = 12.

Sally bought 12 sodas.

In 1: x = 38-y = 38-12 = 26

Sally bourght 26 candy bars

6 0

2 years ago

Read 2 more answers

How can you remember slope? in a creative way

lianna [129]

Answer:

Step-by-step explanation:

dont have a creative way but i just remember rise over run or $\frac{rise}{run}$

hope this helps <3

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2 years ago

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Jason has two bags with 6 tiles each. The tiles in each bag are shown below:

elena-s [515]

Answer:

Step-by-step explanation:

Jason- Two bags 6 tiles each = 1 bag 12 tiles

2/12 for a 5. 2 for 36.

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1 year ago

This test will not impact your grade.

ycow [4]

Answer:

im pretty sure the distance is across the y and x axis

Step-by-step explanation:

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2 years ago

vRichard has a red card (R) and a black card (B). He picks a card randomly from the pair and then rolls a six-sided die. The sam

Alik [6]

The Sample space for three cards is

$S=\left\{\left(B,1\right),\left(R,1\right),\left(G,1\right),\left(B,2\right),\left(R,2\right),\left(G,2\right),\left(B,3\right),\left(R,3\right),\left(G,3\right),\left(B,4\right),\left(R,4\right),\left(G,4\right)$ $\left(B,5\right),\left(R,5\right),\left(G,5\right),\left(B,6\right),\left(R,6\right),\left(G,6\right) \right \}$

There are two cards red(R) and black(B) and a six-sided die.

The event is one card is picked randomly and then rolls the die.

So, the Sample space is as follows.

$S=\left\{\left(B,1\right),\left(R,1\right),\left(B,2\right),\left(R,2\right),\left(B,3\right),\left(R,3\right),\left(B,4\right),\left(R,4\right),\left(B,5\right),\left(R,5\right),\left(B,6\right),\left(R,6\right) \right \}$

<h3>Find Sample space if there are three cards.</h3>

Consider there were three cards red(R), black(B) and green(G) a six-sided die.

The event is one card is picked randomly and then rolls the die.

So, the sample space will be as follows,

$S=\left\{\left(B,1\right),\left(R,1\right),\left(G,1\right),\left(B,2\right),\left(R,2\right),\left(G,2\right),\left(B,3\right),\left(R,3\right),\left(G,3\right),\left(B,4\right),\left(R,4\right),\left(G,4\right)$ $\left(B,5\right),\left(R,5\right),\left(G,5\right)\left(B,6\right),\left(R,6\right),\left(G,6\right) \right \}$ .

Learn more about sample space here :-

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1 year ago