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2 years ago

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

Mathematics

2 answers:

GarryVolchara [31]2 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.

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]2 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:

Algebra I

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 x increases, the y-value also increases. Therefore, the 1st graph must 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 m = -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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A Park ranger tags 100 animals. Use a proportion to estimate the total population for each sample.

7nadin3 [17]

Answer:

It is given that A Park ranger tags 100 animals.

This means the proportion of animals tagged= $\dfrac{100}{x}$

where 'x' represents the total population of animals.

We have to find total number of animals in each parts.

23 out of 100 animals are tagged.

That means the proportion of animals tagged= $\dfrac{23}{100}$

Now we know that the proportion must be equal.

$\dfrac{23}{100}=\dfrac{100}{x}$

⇒ $x=\dfrac{100\times 100}{23}=434.783$

which is approximately equal to 435.

Hence, the total population =435.

8 out of 116 animals are tagged

That means the proportion of animals tagged= $\dfrac{8}{116}$

Now we know that the proportion must be equal.

$\dfrac{8}{116}=\dfrac{100}{x}$

$x=\dfrac{100\times 116}{8}\\\\x=\dfrac{11600}{8}=1450$

which is approximately equal to 1450

Hence, the total population =1450.

5 out of 63 animals are tagged

That means the proportion of animals tagged= $\dfrac{5}{63}$

Now we know that the proportion must be equal.

$\dfrac{5}{63}=\dfrac{100}{x}$

$x=1260$

Hence, the total population =1260.

4 out of 83 animals are tagged

That means the proportion of animals tagged= $\dfrac{4}{83}$

Now we know that the proportion must be equal.

$\dfrac{4}{83}=\dfrac{100}{x}$

$x=\dfrac{100\times 83}{4}\\\\x=2075$

Hence, the total population =2075.

3 out 121 animals are tagged

That means the proportion of animals tagged= $\dfrac{3}{121}$

Now we know that the proportion must be equal.

$\dfrac{3}{121}=\dfrac{100}{x}$

$x=\dfrac{100\times 121}{3}\\\\x=4033.33$

Hence, the total population =4033.

83 out of 125 animals are tagged

That means the proportion of animals tagged= $\dfrac{83}{125}$

Now we know that the proportion must be equal.

$\dfrac{83}{125}=\dfrac{100}{x}$

$x=\dfrac{100\times 125}{83}\\\\x=150.6024$

Hence, the total population =151.

7 out 165 animals are tagged

That means the proportion of animals tagged= $\dfrac{7}{165}$

Now we know that the proportion must be equal.

$\dfrac{7}{165}=\dfrac{100}{x}$

$x=\dfrac{100\times 165}{7}\\\\x=2357.143$

Hence, the total population =2357.

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3 years ago

Rachel jobs along the trail that was 1/4 of a mile long she jogged along the trail 8 times how many miles did Rachel job

son4ous [18]

2 miles is how long rachel jogged

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just olya [345]

Pythagoras theorem ! (a²+b²=c²)

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= √36
= 6cm

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= √262.44
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3 years ago

Read 2 more answers

A gardener plants 250 sunflower seeds and 210 germinate. Find the probability that a sunflower seed will germinate.

Anni [7]

Answer:

There is a 84% probability that the seed will germinate. (Poor plants)

Step-by-step explanation:

250 = 100%

210 = x

250x = 21000

x = 84

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What are the domain and range of f(x) = 2|x -4|? plz i'm in need

mafiozo [28]

Answer:

Domain: (-∞, ∞)

Range: [0, ∞)

Step-by-step explanation:

The domain represents what x can be. In this scenario, we do not have x as a denominator, and there is nothing limiting x, so its domain is (-∞, ∞)

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