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zavuch27 [327]
3 years ago
11

Graph the following lines and using the graph determine several values of x for which the graph is positive (negative): y=−4x+3

Mathematics
1 answer:
True [87]3 years ago
6 0

Answer:


Step-by-step explanation:

Given line is,

y=-4x+3

when, x=-1 , y=-4(-1)+3=4+3=7

when, x=0 , y=-4(0)+3=0+3=3

when, x=1 , y=-4(1)+3=-4+3=-1

So, we got the points  (-1,7) , (0,3) , (1,-1)

Now, putting the points in the graph and adding them , we will get the graph of given line.

Please check image for the graph.


Now for the second part-

The graph is positive means- it will be above the x-axis, that is y value will be positive.

From the graph we can see that, if x<0 , then y is positive.

So, any value of x which is less than 0 , will give the positive graph here.

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Solve for x.
Daniel [21]

Answer:

x=-\frac{9}{4} \\ or \:\\x = -2\frac{1}{4}

Step-by-step explanation:

-2 (x + 1/4)+1=5\\\\-2\left(x+\frac{1}{4}\right)+1=5\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\-2\left(x+\frac{1}{4}\right)+1-1=5-1\\\\Simplify\\-2\left(x+\frac{1}{4}\right)=4\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2\left(x+\frac{1}{4}\right)}{-2}=\frac{4}{-2}\\\\Simplify\\x+\frac{1}{4}=-2\\\\\mathrm{Subtract\:}\frac{1}{4}\mathrm{\:from\:both\:sides}\\\\x+\frac{1}{4}-\frac{1}{4}=-2-\frac{1}{4}\\\\Simplify\\x=-\frac{9}{4}\\\\x = -2\frac{1}{4}

4 0
4 years ago
What is the minimum value for g(x)=x2−10x 16? enter your answer in the box.
motikmotik

The minimum value for g(x)=x² - 10x + 16 is -9

<h3>How to determine the minimum value?</h3>

The function is given as:

g(x)=x² - 10x + 16

Differentiate the function

g'(x) = 2x - 10

Set the function 0

2x - 10 = 0

Add 10 to both sides

2x = 10

Divide by 2

x = 5

Substitute 5 for x in g(x)

g(5)=5² - 10*5 + 16

Evaluate

g(5) = -9

Hence, the minimum value for g(x)=x² - 10x + 16 is -9

Read more about quadratic functions at:

brainly.com/question/7784687

3 0
2 years ago
What is the perimeter and area of length is 13 inches in width is 9.5 inches
love history [14]

Answer:

perimeter = 45 in.

area = 123.5 in.^2

Step-by-step explanation:

I assume this is a rectangle.

L = 13 in.

W = 9.5 in.

perimeter = 2(L + W) = 2(13 in. + 9.5 in.) = 2(22.5 in.) = 45 in.

area = LW = 13 in. * 9.5 in. = 123.5 in.^2

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Step-by-step explanation:

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3 years ago
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Answer:

Exact Form:

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Decimal Form:

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Step-by-step explanation:

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