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LenKa [72]
3 years ago
14

Two linear functions are displayed. Function One is represented by the graph:

Mathematics
2 answers:
GarryVolchara [31]3 years ago
3 0

Answer:

Option A

Step-by-step explanation:

Function One is represented by the graph. We can see that the slope of the First Function is positive because the formula of slope is

Slope=\frac{Change\ in\ y}{Change\ in\ x} \\\\

And we can see that in the graph the change in y and change in x are both positive as the function is increasing because if we see the graph closely,

When x = 1 the value of y = 2 and when x = 2 the value of y = 4 and when x = 3 the value of y = 6 so the values are increasing of x and of y hence the slope is positive and the value of slope is 2.

Now the Second Function which is y = -4x here the slope is negative because the slope-intercept form of the equation is .

y=mx+b

and the second function is

y=-4x

if we compare both these equations we get the value of m = -4 where m is also called the slope. So the slope of the second function is negative.

So

Option B is incorrect because the slope of the first function is positive

Option C is incorrect because the slope of the second function is negative

Option D is incorrect because the slope of the first function is 2 and the slope of the second function is -4

That leaves us with Option A which is correct, where we can see that the slope of the first function is positive and the slope of the second function is negative

vredina [299]3 years ago
3 0

Answer:

A) The slope of function one is positive and the slope of function two is negative.

General Formulas and Concepts:

<u>Algebra I</u>

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

We see that the 1st graph has a positive slope; as <em>x</em> increases, the y-value also increases. Therefore, the 1st graph <em>must</em> have a positive slope.

We are given the equation y = -4x as our second line. Using our y = mx + b form, we see that our slope <em>m</em> = -4. Therefore, the 2nd graph has a negative slope.

Our answer choice then would be A, as it is the only one that matches the descriptions.

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Ruben bought 6 comic books for $21dollar , 21. Each comic book was the same price.
musickatia [10]

Answer:

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Step-by-step explanation:

The price of one comic book is 3.5.

I got this by dividing 21 and 6  

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3 years ago
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Ryobi Limited sold a set of saws to Ace Hardware. The list price was $3,800. Ryobi offered a chain discount of 8/3/1. What's the
laila [671]

Answer:  Option 'B' is correct.

Our net price will be $3357.21.

Explanation:

Since we have given that

The list price of set of saws = $3800

There are 3 successive discounts :

8%,3%,1%

So, if we apply first for 8% discount our new price becomes,

3800\times \frac{100-8}{100}=3800\times 0.92=\$3496

Now, if we apply 3% on our deducted price , our new price becomes ,

3496\times \frac{100-3}{100}=3496\times 0.97=\$3391.12

Now, we'll apply for 1% on our new deducted price , our net price becomes,

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Hence, our net price will be $3357.21.

Therefore, Option 'B' is correct.


6 0
3 years ago
Maria needs 22 cups of milk to make banana milk shakes for her friends. If 1 pint is equal to 2 cups, how many pints of milk sho
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5 1/8+5/6+5/12=6.375 what is 6.375 as a fraction? A 6 3/4. B.6 3/8. C6 3/12. D 6 3/24 please help
vovikov84 [41]
B. 6 3/8
How do we get this? Simple:
6.375--->We already know that 6 will be the whole number in the mixed fraction.

We then move on to represent the decimal part as the fraction. 375 will be the numerator. The denominator depends on how many  decimal places we have (3 in this case, since there are 3 numbers after the period--375). Each decimal place represents a 10 (or a 0 after the 1). So we get that our denominator will be a 1000.

We get the following fraction
6 375/1000

We simplify. Let's start by dividing numerator and denominator by 5:
6 75/200

Let's divide by 5 again:
6 15/40

Let's divide by 5 again:
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Or we could have divide by 125 from the  get go and get the same results.

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Which is longer 4000ft or 1 kilometer
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Answer:

4000 ft

Step-by-step explanation:

There is 3280.84 foot in km.

So, that makes the 4000 ft the longest.

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