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bija089 [108]
3 years ago
5

A function f(x) is graphed on the coordinate plane.

Mathematics
2 answers:
Naddik [55]3 years ago
7 0

Answer:

f(x)=2.5x+1

Step-by-step explanation:

we know that

The linear function in slope intercept form is equal to

f(x)=mx+b

where

m is the slope

b is the y-intercept (value of y when the value of x is equal to zero)

we have the points

(-0.4,0) and (0,1)

<em>Find out the value of m</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{1-0}{0+0.4}

m=\frac{1}{0.4}=2.5

The y-intercept is the point (0,1)

therefore

b=1

substitute the values in the linear equation in slope intercept form

f(x)=2.5x+1

Len [333]3 years ago
3 0

Answer:

f(x)=2.5x+1

Step-by-step explanation:

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P and q are two numbers such that p &gt; q
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The ratio p:9 is equal to 50:9 = \frac{50}{9}.

<h3>System of Linear Equations</h3>

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

For solving this equation, firstly, rewrite the information given:

                                          \frac{p-5}{q-5}=\frac{9}{1} \;(1)\\ \\\frac{p+20}{q+20}=\frac{7}{3} \;(2)

From equation 1, you have:

                                        p-5=9q-45\\ \\  p=9q-40

And from equation 2, you have:

                                  3*(p+20)=7*(q+20)\\ \\ 3p+60=7q+140\\ \\

Now, substitute p=9q-40 in 3p+60=7q+140

                                 3p+60=7q+140\\ \\3*(9q-40)=7q+140\\ \\ 27q-120=7q+140\\ \\ 20q=20\\ \\ q=10

If q=10 for p=9q-40,  you will have:

                                p=9q-40\\ \\ p=9*10-40\\ \\ p=90-40\\ \\ p=50

Therefore, the ratio  \frac{p}{9}  is equal to \frac{50}{9}.

Learn more about the system of equations here:

brainly.com/question/384631

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Step-by-step explanation:

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Step-by-step explanation:

PEMDAS

parentheses, exponents, multiplication, division, addition, subtraction.

first multiply:

2×3=6

6+4-5

Now add

6+4=10

Now subtract

10-5=5

5 is the answer

<em><u>I</u></em><em><u> </u></em><em><u>hope</u></em><em><u> </u></em><em><u>this</u></em><em><u> </u></em><em><u>helped</u></em><em><u>!</u></em><em><u> </u></em><em><u>:</u></em><em><u>)</u></em>

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Read 2 more answers
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