1. Select all polynomial expressions that are equivalent to 6x4 + 4x2 – 7x² + 5x + 8.A. 16x10
B. 6x5 + 4x4 – 7x3 + 5x² + 8x
C. 6x4 + 4x3 - 7x2 + 5x + 8
D. 8 + 5x + 7x2 - 4x3 + 6x4
E. 8 + 5x – 7x2 + 4x3 + 6x4
1. Select all polynomial expressions that are equivalent to 6x4 - 1

Answers

Answer 1
Answer:

Answer:

Options (C) and (E)

Step-by-step explanation:

Given polynomial is,

6x⁴+ 4x³- 7x² + 5x + 8

So all the polynomials which are (look alike) similar in terms of degree and number of terms to the given expression will be equivalent.

Option (A).

16x^(10)

It's a monomial. So not the answer.

Option (B).

6x⁵ + 4x⁴ - 7x³ + 5x² + 8

This polynomial is a 5th degree polynomial, will not be equivalent to the given polynomial expression with 4 degree.

Option (C).

6x⁴ + 4x³ - 7x² + 5x + 8

All the terms and signs between the terms of this expression are similar to the given polynomial expression,  

Expression will be equivalent to the given polynomial expression.

Option (D)

8 + 5x + 7x² - 4x³ + 6x⁴

= 6x⁴- 4x³ + 7x² + 5x + 8

Both are similar in number of terms and degree but signs between the terms are different.

Therefore, both the expressions are will not be equivalent.

Option (E).

8 + 5x - 7x² + 4x³ + 6x⁴

= 6x⁴ + 4x³ - 7x² + 5x + 8

Since, both the polynomials are similar so they are equivalent.


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NEED HELP ASAP!!!!What is the area of this composite shape?



Enter your answer in the box.

in²

Image shows a polygon that looks like a rectangle with a triangle attach to the left side of it closer to the top. The polygon has 5 sides. The top side of the polygon is 12 inches. The right side is perpendicular to the top side and is 7 inches. The bottom side is perpendicular to the right side and is 8 inches. The left side has two segment parts. The bottom part of the left side is perpendicular to the bottom and is 4 inches high. The last segment is slanted connecting the 4 inch side to the top side. This side is not labeled

Answers

Answer:

62 square inches

Step-by-step explanation:

we know that

The area of the composite figure is equal to the area of a rectangle plus the area of a triangle

so

A=(8)(7)+(1)/(2)(7-4)(12-8)

A=56+6=62\ in^2

Find the range for the measure of the third side of a triangle given the measures of two sides.18 ft and 23 ft

Answers

The range for the measure of the third side of the triangle is (5, 38).

What is a triangle?

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

Given that,

Two sides of the triangle are 18 ft and 23 ft.

Let the third side of the triangle is x cm.

Since, the third side is greater than the difference of the remaining sides and less than the sum of the two sides.

Implies that,

23 - 18 < x < 23 + 18

5 < x < 38

The range of the third side varies from (5, 38).

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Answer:

5<x<41

Step-by-step explanation:

1. Write a ratio and a percent for the shaded area.a 4x4 grid with 5 blocks shaded (1 point) one over five, 25% five sixteenths, 31.25% one over four, 20% one over four, 25% 2. Model 32% on a 5 × 5 grid. (1 point) a 5 by 5 grid has 8 cells shaded. a 5 by 5 grid has 6 cells shaded. a 5 by 5 grid has 7 cells shaded. a 5 by 5 grid has 20 cells shaded. 3. Write the ratio as a percent. In a car dealership’s lot, StartFraction 6 Over 24 EndFraction of the cars are silver. (1 point)
0.2 0.25 0.26 0.28 4. Write the decimal as a percent. 0.09 (1 point) 0.9 0.09 0.009 0.0009 5. Write the percent as a decimal. 37.1% (1 point) 0.371 3.71 37.1 371 6. Order from least to greatest. 0.4, four-ninths, 40.5%, eleven-twenty-fifths (1 point) 0.4, four-ninths, 40.5%, eleven-twenty-fifths four-ninths, 40.5%, eleven-twenty-fifths, 0.4 0.4, 40.5%, eleven-twenty-fifths, four-ninths four-ninths, 0.4, 40.5%, eleven-twenty-fifths 7. In a candy bar, 165 calories are from sugar. There are 250 calories in the candy bar. What percent of the calories are from sugar? (1 point)
58 82 60 66 For questions 8 and 9, write the fraction as a percent. If necessary, round to the nearest tenth of a percent.
8. 9/15 (1 point) 0.481 0.604 0.483 0.6 9. Write the fraction as a percent. If necessary, round to the nearest tenth of a percent.
4one fifth (1 point) 0.041 4.2 0.42 0.042 10. Write the percent as a decimal and as a fraction.
215% (1 point) 2.15; 21/20 2.15; 23/20 21.5; 211/2 21.5; 213/10 11. The science club sold 25 T-shirts last week and 18 T-shirts this week. What is the percentage of decrease in the number of T-shirts sold? (1 point)
0.72 0.28 0.39 0.36 12. On a factory floor, 20 of every 170 toy robots are defective. What percent of the toy robots are defective? Round your answer to the nearest hundredth. (1 point)
0.3434 0.0176 0.1176 0.0341 13. A new law requires that 12% of an individual’s income be invested in the stock market. Your accounts show that you need to put $420 in the stock market this year. How much did you earn this year? (1 point)
5040 350 504 3500 14. 20% of what number is 47? (1 point) 236.5 235 232 237.5 15. Estimate a 15% tip for a meal that cost $26.80. (1 point)
1.35 2.7 4.05 31.05 16. You and some friends rent a limousine for a formal reception. The bill for the evening is $53.00. A tax of 6% will be added to your total, and you want to tip the chauffeur for his excellent driving. You decide to leave him a tip that is 20% of the bill before tax is added. How much will be paid in total? (1 point)
63.6 66.78 13.78 10.6 17. Find the percent of markup. Round to the nearest tenth.
$37.00 to $49.00 (1 point) 0.245 0.324 0.277 0.12 FinishCancel

Answers

Here are the answers to the following questions:

1. Write a ratio and a percent for the shaded area.
a 4x4 grid with 5 blocks shaded (1 point)
five sixteenths

2. Model 32% on a 5 × 5 grid. (1 point)
a 5 by 5 grid has 8 cells shaded.

3. Write the ratio as a percent. In a car dealership’s lot, 6 Over 24 EndFraction of the cars are silver. (1 point)
0.25

4. Write the decimal as a percent. 0.09 (1 point) 0.0009

5. Write the percent as a decimal. 37.1% (1 point) 0.371

6. Order from least to greatest. 0.4, four-ninths, 40.5%, eleven-twenty-fifths
0.4, 0.44, 0.405, 0.44
(1 point) 
0.4, 40.5%, four-ninths,  eleven-twenty-fifths 

7. In a candy bar, 165 calories are from sugar. There are 250 calories in the candy bar. What percent of the calories are from sugar? (1 point)
66

For questions 8 and 9, write the fraction as a percent. If necessary, round to the nearest tenth of a percent.

8. 9/15 (1 point) 0.6

9. Write the fraction as a percent. If necessary, round to the nearest tenth of a percent.
4 one fifth (1 point) 0.042

10. Write the percent as a decimal and as a fraction.
215% (1 point) 21.5; 211/2

11. The science club sold 25 T-shirts last week and 18 T-shirts this week. What is the percentage of decrease in the number of T-shirts sold? (1 point)
0.28 

12. On a factory floor, 20 of every 170 toy robots are defective. What percent of the toy robots are defective? Round your answer to the nearest hundredth. (1 point)
0.1176

13. A new law requires that 12% of an individual’s income be invested in the stock market. Your accounts show that you need to put $420 in the stock market this year. How much did you earn this year? (1 point)
5040

14. 20% of what number is 47? (1 point) 235

15. Estimate a 15% tip for a meal that cost $26.80. (1 point)
4.05

16. You and some friends rent a limousine for a formal reception. The bill for the evening is $53.00. A tax of 6% will be added to your total, and you want to tip the chauffeur for his excellent driving. You decide to leave him a tip that is 20% of the bill before tax is added. How much will be paid in total? (1 point)
66.78

17. Find the percent of markup. Round to the nearest tenth.
$37.00 to $49.00 (1 point) 0.245 

Answer:

0.245

Step-by-step explanation:

none

Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a lawn, and y, the size of the lawn in acres. Two of his points are (3, 1.5) and (5, 2.5). Which statement describes the slope of the line through these two points?It takes Aaron about 1 hour to mow 2 acres.
Aaron’s rate for mowing lawns is 0.5 acres per hour.
The ratio of acres to time is 5 acres to 3 hours.
The rate to mow a lawn is 0.6 hours per acre.

Answers

Answer:

Aaron’s rate for mowing lawns is 0.5 acres per hour.

Step-by-step explanation:

We are given that  x denotes the time in hours it takes to mow a lawn and y denotes the size of the lawn in acres.

Now Two of his points are (3, 1.5) and (5, 2.5)

(x_1,y_1)=(3,1.5)

(x_2,y_2)=(5,2.5)

Slope : m=(y_2-y_1)/(x_2-x_1)

m=(2.5-1.5)/(5-3)

m=(1)/(2)

m=0.5

Thus Aaron’s rate for mowing lawns is 0.5 acres per hour.

Hence Option B is correct

The answer is "Aaron;s rate for mowing lawns is 0.5 acres per hour."
as
1.5 acres / 3 hours = 0.5 acres an hour
2.5 acres / 5 hours = 0.5 acres an hour

A hyperbola has vertices (+-5,0) and one focus (6,0) what is the standard form equation of the hyperbola.

Answers

The standard form equation of the hyperbola:
x² / a² - y² / b² = 1
a = 5,
a² = 25
c = 6
c² = a² + b²
36 = 25 + b²
b² = 36 - 25
b² = 11
Answer:
x²/25  -  y²/11 = 1 

Final answer:

The standard form equation for this hyperbola, when vertices are (+-5,0) and one focus is (6,0), is x²/25 - y²/11 = 1.

Explanation:

In the question, we are given a hyperbola with vertices at (+-5,0) and one focus at (6,0). A hyperbola is defined by its distances from a given point to the two different foci, and its standard form equation along the x-axis can be written as

(x-h)²/a² - (y-k)²/b² = 1

, where (h, k) is the center of the hyperbola, a represents the distance from the center to each vertex, and b represents the distance from the center to each co-vertex. In this case,

h = 0

, since the center of the hyperbola is at the origin. The value of

a = 5

is the distance from the center to each vertex. Finally, the square of the distance c from the center to each focus is defined as

c² = a² + b²

, so we can find

b = sqrt(c² - a²)

. Here, c = 6, so b = sqrt(6² - 5²) = sqrt(11). Thus, the standard form equation of this hyperbola is

x²/25 - y²/11 = 1

.

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Point D(−1, 5) is reflected across the x-axis.Which statements about D' are true?

Select each correct answer.

The y-coordinate is−5.

The x-coordinate is −1.

The y-coordinate is 5.

The x-coordinate is 1.

Answers

Answer-

The coordinates of D' are (-1, -5)

Solution-

The coordinates of D are (-1, 5).

While reflecting any points across the x-axis with coordinates as (x, y) becomes, (x, -y). i.e sign of y-coordinate changes.

The rule is (x, y) → (x, -y)

Applying so, after reflecting point D, its reflection D' will have coordinates as (-1, -5)

Therefore, the y-coordinate is -5.


The answers are A and B, -5 and -1. Hope this helps!