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3 years ago

Which linear function is represented by the graph?

Mathematics

1 answer:

professor190 [17]3 years ago

8 0

9514 1404 393

Answer:

f(x) = -1/2x +1

Step-by-step explanation:

The line crosses the y-axis at y=1, so the y-intercept is b=1.

The line drops 1 unit for a run of 2 to the right, so the slope is ...

m = rise/run = -1/2

The slope-intercept form of the equation of the line is ...

y = mx + b

y = -1/2x + 1

In functional form, the equation is ...

f(x) = -1/2x +1

You might be interested in

A sale person is given a choice of two salary plans 1weekly salary of $500 plus 4%commission of sale plan 2 is a straight commis

DedPeter [7]

Answer:

$12500

Step-by-step explanation:

Given that:

Salary plan 1:

Weekly salary of $500.

And a commission of 4%.

Salary plan 2:

Straight commission of 8%.

To find:

Weekly sales for which both the plans will make the same sales?

Solution:

Let the weekly sales = $ $x$

As per question statement:

Salary as per Plan 1 = $500 + 4% of $x$

Salary as per Plan 2 = 8% of $x$

Putting both the salaries to equal to find the total weekly sales.

$500 + 4% of $x$ = 8% of $x$

$\Rightarrow 500 = 4\%\ of\ x\\\Rightarrow 500 = \dfrac{4}{100}x\\\Rightarrow x = \$12500$

Therefore, the answer is:

For the sales of $12500, the salary will be same from both the plans.

4 0

2 years ago

X - 0.1x = 54 <br> Is x = 60 a solution

sashaice [31]

Answer:

yes

Step-by-step explanation:

60 - 0.1(60) = 54

60 - 6 = 54

54 = 54

8 0

3 years ago

Read 2 more answers

Approximate pi plus the square root of 70 to the nearest hundredth.

stich3 [128]

Answer:

11.51

Step-by-step explanation:

In general, a calculator is required to evaluate the irrational sum ...

π + √70

<h3>Calculator result</h3>

The result from a readily-available online calculator is shown in the attachment.

π + √70 ≈ 11.51

<em>Additional comment</em>

You have probably memorized pi to several digits: 3.1416. To obtain the required estimate means you need to approximate √70 to about the same level of precision.

For a number n = a² +b, the square root can be approximated by the continued fraction ...

√n ≈ a +b/(2a +b/(2a +...))

Effectively, the root (r) can be iterated from the recursive formula ...

r' = a +b/(a +r)

For √70, we have 70 = 8² +6 ⇒ a=8, b=6

If the initial approximation of the root is r0≈a=8, then a couple of iterations gives ...

r1 = 8 + 6/(8 +r0) = 8 + 6/(8 +8) = 8 3/8

r2 = 8 + 6/(8 +r1) = 8 +6/(8 +8 3/8) = 8 48/131

This has sufficient accuracy for the purpose. The decimal equivalent of the sum then becomes ...

3.1416 +8.3664 = 11.5080 ≈ 11.51

5 0

2 years ago

a polygon has an area of 225 square meters. A similar polygon is created with an area that is triple the first. By what factor i

GuDViN [60]

The area of the original polygon is:
A = 225 m ^ 2
The similar polygon area is:
A '= (k ^ 2) * (A)
Substituting values:
3 * 225 = (k ^ 2) * (225)
Clearing k we have:
k ^ 2 = 3
k = (3) ^ (1/3)
Answer:
The length of each side increased by:
k = (3) ^ (1/3)

6 0

3 years ago

What is the Length of side ML ?

elena-14-01-66 [18.8K]

9 is correct answer because it is given that ML=LB.

6 0

2 years ago