All categories

3 years ago

Match each part of the expression with what it represents

Mathematics

1 answer:

Oduvanchick [21]3 years ago

8 0

The monomial x would be the length of the sports banner.

-We know this because we typically use a basic variable for the thing that does not change. In this case, the length of the sports banner remains the same.

The second degree term in the expression would be the increase in area of the culture banner to make the sports banner.

-We can tell this because when we increase the width of the banner by 12, the resulting polynomial is 12x larger than x^2 (which was the original area of the culture banner.

The binomial expression x + 12 would be the width of the sports banner.

-Since we are increasing the width of the culture banner from x, x + 12 would represent the new width of the sports banner.

The first degree term in the expression would be the area of the culture banner.

-Because side of the culture banner is the same before the increase, multiplying x by itself will give you an area of x^2. This is the first degree term.

You might be interested in

Point J has coordinates (–3, 4) in the coordinate plane. Point K has coordinates (3, 4). Both points will be reflected across th

kumpel [21]

The location of the image of points <em>J </em>and <em>K </em>following a reflection across the x-axis are;

J'(-3, -4), and K'(3, -4)

<h3>Which method can be used to find the image of a point following a reflection?</h3>

Coordinates of point are;

J(-3, 4), K(3, 4)

The given transformation is; A reflection across the x-axis

The representation of a reflection across the x-axis is presented as follows;

(x, y) → (x, -y)

The image of <em>J </em>and <em>K </em>following a transformation across the x-axis are therefore;

J(-3, 4) → J'(-3, -4)

K(3, 4) → K'(3, -4)

Learn more about reflection transformation on the coordinate plane here:

brainly.com/question/8242111

#SPJ1

8 0

2 years ago

A boat traveled 252 miles downstream and back. The trip downstream took 12 hours. The trip back took 84 hours. Find the speed of

Leokris [45]

Answer: the speed of the boat in still water is 12 mph and the speed of the current is 9 mph.

Step-by-step explanation:

Let x represent the speed of the boat in still water.

Let y represent the speed of the current.

The boat travelled 252 miles downstream and the same distance upstream.

The trip downstream took 12 hours. Assuming the boat travelled with the wind when going downstream, the total speed would be (x + y) mph.

Distance = speed × time

The expression for distance travelled downstream is

252 = 12(x + y)

Dividing through by 12, it becomes

21 = x + y- - - - - - - - - - 1

The trip back took 84 hours. Assuming the boat travelled against the wind when going back(upstream), the total speed would be (x - y) mph.

The expression for distance travelled upstream is

252 = 84(x - y)

Dividing through by 84, it becomes

3 = x - y- - - - - - - - - - 2

Adding equation 1 to equation 2, it becomes

24 = 2x

x = 24/2

x = 12 mph

Substituting x = 12 into equation 1, it becomes

21 = 12 + y

y = 21 - 12

y = 9 mph

7 0

3 years ago

The sixth graders in one school are 155. 3 of them are girls. How many are the boys? 5

umka21 [38]

Answer:

31 i think

155.3 divided by 5 is equal to 31

6 0

2 years ago

Read 2 more answers

Three times the sum of a number and six

bagirrra123 [75]

Answer:

3(x+6)

Step-by-step explanation:

4 0

3 years ago

If other factors are held constant, which combination of sample characteristics would produce the narrowest confidence interval

anzhelika [568]

Answer:

The correct option is C) large sample size (n) with small variance.

Step-by-step explanation:

Consider the provided information.

It is given that the other factors are held constant, and we want the narrowest confidence interval for a population mean.

Confidence interval for a population mean is directly proportional to variance and inversely proportional to the sample size.

If we increase the variance, CI will increase. But we want the narrowest CI, so variance should be small.

As CI is inversely proportional to sample size, therefore if we increase the sample size CI will decrease.

Hence, the correct option is C) large sample size (n) with small variance.

3 0

3 years ago