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Helen [10]
3 years ago
15

Here's a graph of a linear function. Write the

Mathematics
1 answer:
sashaice [31]3 years ago
5 0

Answer:

  y = 3/4x +2

Step-by-step explanation:

The line crosses the y-axis at 2, so that is the y-intercept. The line appears to have a rise of 3 for a run of 4, so rise/run = slope = 3/4.

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

  y = (slope)x + (y-intercept)

  y = 3/4x + 2

You might be interested in
What fractions are equal to two thirds?
Arte-miy333 [17]
Two thirds can equal: 4/6, 6/9, 8/12, 10/15, etc.
7 0
3 years ago
Three numbers have a sum of 68. The second number is 1 less than twice the first. The third number is three times the second. Wh
Vesnalui [34]

Answer:

First number: 71/7

Second number: 135/7

Third number: 270/7

Step-by-step explanation:

First number = x

Second number= 2x-1

Third number= 2(2x-1)

x+(2x-1)+2(2x-1)= 68

3x-1+4x-2=68

7x-3=68

7x=71

x=71/7

You can check by plugging in the x into the equation.

4 0
3 years ago
What is the volume of the metal in this heavy-duty pipe? (It is not drawn to scale and the inside of the pipe is empty space.) S
Jlenok [28]
The volume of the pipe is about 282.6 cubic feet.

First, we need to find the area of each circular cross section and subtract them to find the width of the pipe. The area of a circle is pi(r^2).

pi(3^2) - pi(2^2)
28.26 - 12.56 = 15.7

The width of the pipe is 15.7. Now, multiply that by 18 to find the volume.
15.7 x 18 = 282.6
6 0
3 years ago
The relationship between x and y is proportional. When x is 3, y is 51. What is x when y is 204? Enter your answer in the box.​
JulsSmile [24]

Answer:

12

Step-by-step explanation:

Use the relation between 3 is to 51

eventually... you will

5 0
4 years ago
Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0 = 2x2 + 3x – 8? Quadratic formula: x
OleMash [197]

ANSWER



x=1.39 to the nearest hundredth.



EXPLANATION



We have the equation,



0=2x^2+3x-8



Which can be rewritten as



2x^2+3x-8=0

The question demands the use of the quadratic formula.

Comparing this to the general quadratic equation;

ax^2+bx+c=0


a=2,b=3,c=-8


The quadratic formula is given by;


x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}


We now substitute all the values in to the formula;


x=\frac{-3\pm\sqrt{(3)^2-4(2)(-8)}}{2(2)}

We simplify to obtain;

x=\frac{-3\pm\sqrt{9+64}}{4}


x=\frac{-3\pm\sqrt{73}}{4}


We now split the plus or minus sign to obtain;


x=\frac{-3-\sqrt{73}}{4}


This implies that;


x=-2.89

Or

x=\frac{-3+\sqrt{73}}{4}


This will evaluate to;


x=1.39

Hence, the positive solution rounded to the nearest hundredth is

x \approx 1.39

6 0
4 years ago
Read 3 more answers
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