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3 years ago

When you multiply a function by -1, what is the effect on its graph?

Mathematics

1 answer:

Dafna1 [17]3 years ago

5 0

9514 1404 393

Answer:

B. The graph flips over the x-axis

Step-by-step explanation:

When you plot the coordinate pair (x, y), you plot the point 'y' units above the x-axis. If you change the sign of that (multiply the function by -1), then the point becomes (x, -y), and is plotted 'y' units below the x-axis.

The graph flips over the x-axis.

Attached is an example of a function with its original graph (red) and the graph after being multiplied by -1 (blue). The blue graph is a reflection of the red graph across the x-axis.

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A highway engineer specifies that a certain section of roadway covering a horizontal distance of 2km should have a downgrade of

Zigmanuir [339]

Answer:

$0.16km$

Step-by-step explanation:

A highway engineer wants to compute the change in elevation of a section of road. The horizontal distance of this section of road is 2km and downgrade is 8%

The slope formula is given by

$m=\frac{rise}{run}=\frac{x}{y}$

m = 8% = 8/100

run = y = 2km

$m =\frac{x}{y}$

$\frac{8}{100} =\frac{x}{2}$

$\frac{2*8}{100} =x$

$x=\frac{16}{100} =0.16km$

Verification:

$m=\frac{0.16}{2}= 0.08=8%$ %

3 0

3 years ago

Read 2 more answers

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algol13

It’s the strawberry and orange one

8 0

3 years ago

A data set consists of 2, 2, 3, 4, 5, 5, and 7. Then, 20 is added to the data set. The new value will have little effect on the

ale4655 [162]

Answer:

A data set consists of 2,2,3,4,5,5 and 7. Then, 20 is added to the data set. The new value will have the little effect on the median, but it will raise the mean significantly.

Step-by-step explanation:

Since, we all know that the measures of central tendency are:

Arithmetic Mean
Median
Mode
Geometric Mean
Harmonic Mean

Let us define Arithmetic Mean and Median.

Arithmetic mean is the sum of observations divided by the total number of observations. It is denoted by (x bar).

On the other hand, median of a distribution is that value of the variable which divides it into two equal parts.

For Arithmetic Mean:

According to the question, when data set consists 2,2,3,4,5,5 and 7, the arithmetic mean for the given data = 4

After adding 20 the given data set, the mean will be = 6

For median:

When data set consists of 2,2,3,4,5,5 and 7, the median value will be the middle value of the distribution i.e. = 4

After adding 20 to the given data set, the median will be = 4.5

Here we can say that 20 is an outlier for the given data set.

Since mean has the significant effect of the outlier because it is based on all values but the median has lesser effects of the outlier as it is based only on middle values. So whatever outlier is added to median, it will not show particular changes.

Thus , a data set consists of 2,2,3,4,5,5 and 7. Then, 20 is added to the data set. The new value will have little effect on median, but it will raise the mean significantly.

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3 years ago

Find the general form of the complete partial fraction decomposition of the integrand. use it to determine whether or not a term

zhuklara [117]

The answer is int(x^2-4x / X = 3).

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the cross of a water bin is shaped like a trapezoid. the base of the trapezoid are 22 feet and 4 feet long. it has a area of 26

Rzqust [24]

Just sayin' you shouldn't use up all ur points on one question

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3 years ago