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4 years ago

Use the Line Tool to graph the function. f(x)=1/2x−3

Mathematics

1 answer:

valentinak56 [21]4 years ago

5 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$f(x)=\frac{1}{2}x-3$

This is the equation of a line in slope intercept form

we know that

To graph a line we need tow points

Find the intercepts

Find the y-intercept

The y-intercept is the value of the function when the value of x is equal to zero

For x=0

$f(0)=\frac{1}{2}(0)-3$

$f(0)=-3$

The y-intercept is the point (0,-3)

Find the x-intercept

The x-intercept is the value of x when the function is equal to zero

For f(x)=0

$0=\frac{1}{2}x-3$

$x=6$

The x-intercept is the point (6,0)

Plot the intercepts and joint the points to graph the line

The graph in the attached figure

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write the slope- intercep form of the equation of the line through tje given point perpendicular to tje the given line. (point):

Sergeeva-Olga [200]

Perpendicular lines have gradients that multiply to give -1
So, the gradient of the line we need is -1/0.2 = -5
If we have the gradient and a point in the line, we can work out the equation using the formula:
y - y1 = m(x - x1)
where m = gradient, y1 = y-coordinate and x1 = x-coordinate of the same point
So, we substitute in our values, and we get:
y - -8 = -5(x - -7)
y+8 = -5x-35
y = -5x-43

Hope I helped! xx

3 0

3 years ago

F\left(x\right)\ =\ 2^{x\ }and\ g\left(x\right)\ =\sqrt{x}+1

castortr0y [4]

Answer:

F(x) = 2^x gives you (0,1)

G(x) = $\sqrt{x}$ +1 also gives you (0,1)

Step-by-step explanation:

I hope these are the answers you were looking for! I'm sorry if it's not, I would need the question to give you the correct answer.

3 0

3 years ago

Sue bought five sweatshirts all for the same price. The tax on the purchase was $2.50 and the total was $47.50. What was the cos

solong [7]

Answer:

For the second question, the answer is 16 markers.

Step-by-step explanation:

12-4=8 8+8=16

6 0

3 years ago

Andre has a summer job selling magazine subscriptions. He earns $25 each week plus $3 for every subscription he sells. Andre hop

Strike441 [17]

Answer: 25 + 3n

Step-by-step explanation:

Hi, the answer is lacking the last part:

Write an expression for the amount of money he makes this week.

So, to answer this we have to write an expression:

The fixed amount that he earns per week (25) plus the product of the amount he earns per subscription (3) and the number of subscriptions sold (n) , must be equal to his weekly earnings.

Mathematically speaking:

25 + 3n

Feel free to ask for more if needed or if you did not understand something.

7 0

3 years ago

Clyde Cement wants to analyze a shipment of bags of cement. He knows the weight of the bags is normally distributed so he can us

labwork [276]

Answer:

50%

Step-by-step explanation:

First, draw a normal distribution plot to use for the analysis of the data. Starting at the mean in the centre. Add one standard deviation for each interval to the right, and subtract one standard deviation for each interval to the right. See attached image. According to the empirical rule, 68% of data lies within one standard deviation of the mean, 95 % of the data is within two st. dev. and 99.7% of the data is within 3 st. dev. of the mean.

From the graph it can be deducted that half of the data will lie below 50, which makes it 50%.

An easier way of determining the answer is to use the definition of a mean. A mean is the number that,when all the data is placed in ascending order, lies right in the middle of all the data.

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4 years ago