EXERCISE - 2.1
1. Find the degree of each of the polynomials given below
x power 5 - x power 4 + 3​

Answers

Answer 1

Answer:

5

Step-by-step explanation:

the degree is 5

As degree means the largest exponent of a term


Related Questions

Solve the equation. 56=13+d

Answers

Answer:

d = 43

Step-by-step explanation:

Subtract 13 from each side of the equation. It should now look like this: 43 = d

41. Find the area of the triangle.

a. 30 yd
b. 45 yd
c. 28 yd
d. 60 yd

Answers

Answer:

D

Step-by-step explanation:

Area is found by LxWxH

Answer:

30yd^2

Step-by-step explanation:

[tex]Base = 10yd\\Height = 6yd\\\\Area = \frac{1}{2} \times base \times height\\\\A= \frac{1}{2} \times 10 \times 6\\\\A = \frac{60}{2} = \\\\30yd^2[/tex]

Which expression represents x? – 18x + 81 in factored form?
(x + 9)2
(x + 27)(x – 3)
(x – 9)
(x + 9)(x -9)
1
2
3
4 5

Answers

Answer:

[tex](x-9)^{2}[/tex]

Step-by-step explanation:

By factorization, we get ----

[tex]x^{2} -18x+81\\=x^{2} -9x-9x+81\\=x(x-9)-9(x-9)\\=(x-9)(x-9)\\=(x-9)^{2}[/tex]

Find the distance between the points A(10, –9) and B(8, 7). Round your answer to the nearest hundredth. A

Answers

Answer:

16.12 units

Step-by-step explanation:

distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(8 - 10)² + (7 + 9)²]

d = √[(-2)² + (16)²]

d = √[4 + 256]

d = √260

d = 16.12

Can someone please help me, I've been stuck on this since yesterday. Thanks!

Answers

Answer:

Since there are no common factors, the only common factor for [tex]\frac{4}{x+5}[/tex] is  1

Red kangaroos can reach speeds up to 50 feet per second. Use the linear graph at the left to answer the questions. What is the change in y-values from Point A to Point B? What is the change in x-values from Point A to Point B? What is the rate of change of the linear function? feet per second

Answers

Answer:

What is the change in y-values from

Point A to Point B?

50

What is the change in x-values from

Point A to Point B?

1

What is the rate of change of the linear function?

50

feet per second

Step-by-step explanation:

The change in y-values from Point A to Point B is from 0 to 50feet.  What is the change in x-values from Point A to Point B is 0 to 1 second. Rate of change of the linear function is given by y = 50x (feet per second).

What is linear function?

" Linear function is defined as the algebraic expression which represents the relation between the variables with highest exponent equals to 1."

Formula used

[tex]\frac{y-y_{1} }{x-x_{1} } =\frac{y_{2} -y_{1}}{x_{2} -x_{1}}[/tex]

According to the question,

Given,

Speed of Red kangaroos can reach = 50 feet per second

Number of feet represent by y - axis

Time represent by x-axis

When

[tex]x_{1} = 0 seconds \\\\y_{1} = 0 feet[/tex]

When

[tex]x_{2} = 1 seconds \\\\y_{2} = 50 feet[/tex]

Change in y-values from point A to B  is given by [tex](y_{1}, y_{2} ) = (0,50)[/tex]

Change in x-values from point A to B  is given by [tex](x_{1}, x_{2} ) = (0,1)[/tex]

Rate of change of the linear function

[tex]\frac{y-0 }{x-0 } =\frac{50-0}{1-0}[/tex]

⇒[tex]y= 50x[/tex]

Hence, the change in y-values from Point A to Point B is from 0 to 50feet.  What is the change in x-values from Point A to Point B is 0 to 1 second. Rate of change of the linear function is given by y = 50x (feet per second).

Learn more about linear function here

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I need help on question C only plzzzz​

Answers

You need to work out the current UK percentage first.

Match each function name with its equation.
(Look at picture)

Answers

Answer:

a. square root is y = [tex]\sqrt{x}[/tex]

b. linear is y = x

c. cubic is [tex]y = x^3[/tex]

d. quadratic is [tex]y = x^2[/tex]

e. reciprocal squared is [tex]y = \frac{1}{x^2}[/tex]

f. absolute value is y = |x|

g. reciprocal is [tex]y = \frac{1}{x}[/tex]

h. cube root is [tex]y = \sqrt[3]{x}[/tex]

Step-by-step explanation:

Which set of points does NOT represent a function?
A) (-2, 1), (6,3), (5, 1), (-4,6)
B) (-7,3), (1, 2), (5,3), (-7,2)
C) (-4,-3), (-1, 2), (0,5), (3, 2)
D) (-5, -1), (-2, -1), (1, -1), (4, -1)​

Answers

Answer:

B.

Step-by-step explanation:

The X-Values cannot repeat in a function.

f(x) = x2 -2x & g(x) = 12-8x.
Find f(2) - g(3)

Answers

Answer: 24

=========================================

Work Shown:

f(x) = x^2 - 2x

f(2) = 2^2 - 2*2 ... replace every x with 2

f(2) = 4 - 4

f(2) = 0

----------------------------

g(x) = 12-8x

g(3) = 12-8*3 ... replace every x with 3

g(3) = 12-24

g(3) = -24

----------------------------

Subtract the results of the previous two sections

f(2) - g(3) = 0 - (-24)

f(2) - g(3) = 0 + 24

f(2) - g(3) = 24

Nadia is mountain climbing. She started at an altitude of 19.26 feet below sea level and then changed her altitude by climbing a total of 5,437.8 feet up from her initial position. What was Nadia's altitude at the end of her climb?

Answers

Answer:

5,418.2 feet

Step-by-step explanation:

Nadia is carrying out mountain climbing.

She started climbing the mountain at an altitude of 19.26 feet below the sea level.

Nadia changed her altitude by climbing a total of 5,437.8 feet from her starting position.

Therefore, Nadia's altitude at the end of her climb can be calculated as follows

= 5,437.8-19.6

= 5,418.2

Hence Maria's altitude at the end of her climb is 5,418.2 feet

Answer:

5,418.2 feet

Step-by-step explanation:

Innea's company's revenue in 201720172017 is \dfrac{36}{25} 25 36 ​ start fraction, 36, divided by, 25, end fraction of its revenue in 201620162016. What is Linnea's company's revenue in 201720172017 as a percent of its revenue in 201620162016 ?

Answers

Answer:

144%

Step-by-step explanation:

Complete question below:

Linnea's company's revenue in 2017 is 36/25 of its revenue in 2016. What is Linnea's company's revenue in 2017 as a percent of its revenue in 2016?

Solution

Let

36x= Linnea's company revenue in 2017

25x=Linnea's company revenue in 2016

Percent of Linnea's company's revenue in 2017 as a percent of its revenue in 2016= 36x / 25x × 100

36x / 25x * 100

=1.44 × 100

=144%

find HCF of 96 and 404 by prime factorization method and find their LCM ​

Answers

Answer:

HCF of 96 and 404 by prime factorisation method:-

Since, 96 = 2 × 2 × 2 × 2 × 2 × 3

and, 404 = 2 × 2 × 101

So, HCF of 96 and 404 = Product of common prime factors

                                 = 2 × 2 = 4

LCM = 2 × 2 × 2 × 2 × 2 × 101 × 3

       = 9696

Step-by-step explanation:

i think i

don't no

calculate the values of the expression below 2 ( 3 (5 + 2) -1)

Answers

Answer:

= 40

Step-by-step explanation:

2 ( 3 (5 + 2) -1)

= 2 * 20

= 40

Answer:

40

Step-by-step explanation:

[tex]2\left(3\left(5+2\right)-1\right)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(3\left(5+2\right)-1\right)\:\\\\:\quad 20\\\\=2\times \:20\\\\= 40[/tex]

Can I get some Help please

Answers

Answer:

f(-2) = 2

Step-by-step explanation:

The question is asking for the y-value of the point located at x = -2 on the graph. The point is at (-2, 2), so f(-2) = 2.

distance between (-1,4) and (1,-1

Answers

Answer:

√29 units

Step-by-step explanation:

Find the distance between (-1,4) and (1,-1).

We'll use the Pythagorean Theorem:

The horizontal distance between the two points is 1 - (-1), or 2, and the vertical distance is 4 - (-1), or 5.

Thus, the distance squared is 2^2 + 5^2, or 29, and the distance between the two points is therefore

d = √29 units

PLEASE HELP, I DONT UNDERSTAND THIS.....Michael is laying carpet in a perfectly rectangular hall. The area of the hall is 240 square feet, and the width of the hall is 6 feet. How long is the hall?

Answers

Answer:

40 feet

Step-by-step explanation:

We know that the area of a rectangle is represented as [tex]lw=a[/tex], where l is the length and w is the width.

We already know the width, and we know the area, so we can plug these values into the equation.

[tex]l\cdot 6 = 240[/tex]

Our goal is to now isolate the variable l, and to do this we can divide both sides by 6.

[tex](l\cdot6) \div6 = 240\div6\\\\l = 40[/tex]

Hope this helped!

Answer:

l=a/w

Step-by-step explanation:

Length equals area divided by width.

A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 4, 5. Column 2 is labeled y with entries 15, 30, 60, 75. Does this table represent a proportional relationship? 1,15 2,30 4,60 5,75 please answer this question quickly please and thank you

Answers

Answer:

The table represents a proportional relationship

Step-by-step explanation:

Given

x ------ y

1 ------- 15

2 --------30

4 ---------60

5 -------- 75

Required

Determine if the table shows a proportional relationship

To check this, we make use of the following formula;

[tex]k = \frac{y}{x}[/tex]

Where k is the proportionality constant

When x = 1, y = 15

[tex]k = \frac{15}{1} = 15[/tex]

When x = 2, y = 30

[tex]k = \frac{30}{2} = 15[/tex]

When x = 4, y = 60

[tex]k = \frac{60}{4} = 15[/tex]

When x = 5, y = 75

[tex]k = \frac{75}{5} = 15[/tex]

Since the value of k for all values of x and y is the same; i.e. 15

Then, the table represents a proportional relationship

Quick Answer: $5.86

Step-by-step explanation:

Hope it helps!! :)

A roller coaster accelerates from an initial speed of 6.0 m/s to a final speed of 70 m/s over 4 seconds. What's the acceleration?

Answers

Acceleration=finalpoint-initialpoint/time
70m/s-6m/s/4
The answer is 16m/s^2

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{16 \: m/ {s} \: ^{2} }}}}}[/tex]

Step-by-step explanation:

Given,

Initial velocity ( u ) = 6 m/s

Final velocity ( v ) = 70 m/s

Time ( t ) = 4 seconds

Acceleration ( a ) = ?

Finding the acceleration

We know that,

[tex] \boxed{\sf{acceleration = \frac{v - u}{t} }}[/tex]

⇒[tex] \sf{ \frac{70 - 6}{4} }[/tex]

⇒[tex] \sf{ \frac{64}{4} }[/tex]

⇒[tex] \sf{16 \: m/ {s}^{2} }[/tex]

Hope I helped!

Best regards!

Asia contains both the highest and lowest known points on earth. Mt. Everest is a little over 29,000 feet above sea level, and the shore of the Dead Sea is about 1,370 feet below sea level. What is the approximate difference in elevation between the two points?

27,630 feet
28,370 feet
29,370 feet
30,370 feet

Answers

Answer:

30,370 feet

Step-by-step explanation:

The difference in elevations between two points will be 30370 feet.

It is given that Mt. Everest is 29000 feet above sea level and the shore of dead sea is 1370 feet below the sea level.

We have to find out the difference in elevation between the two points.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , subtraction , etc.

As per the question ;

Height of Mt. Everest from sea level = 29000 ft. above

Height of shore of dead sea from sea level = 1370 feet below

As these both are in opposite directions , i.e., one above sea level and other below sea level , we should add both of these to find the difference in elevations between these two points.

i.e.,

The difference in elevations between two points will be ;

= 29000 + 1370

= 30370 feet

Thus , the difference in elevations between two points will be 30370 feet.

To learn more about algebra click here ;

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Multiply and write your answer in scientific notation.
(4 10%)(2 x 10-5)

Answers

Answer:

Here mate!

Step-by-step explanation:

Enter numbers, scientific notation or E notation.

Scientific Notation: 3.45 x 10^5

E Notation: 3.45e5

HOPE IT HELPS AND IS CORRECT!

Can someone please help me

Answers

Answer:

never

Step-by-step explanation:

smith will run out by week 2

Answer:

After 17 weeks

Step-by-step explanation:

We can create a system of equations for this problem, where y is the total amount of money in their banks and x is the amount of weeks passed.

Mr. Smith's equation will be [tex]y = 12x+21[/tex].

Mr. Brown's equation will be [tex]y = 10x+55[/tex].

We can now solve for x by using substitution.

Let's substitute Mr. Brown's equation into Mr. Smith's equation.

This get us [tex]10x + 55 = 12x + 21[/tex].

We can now solve for x.

Let's subtract 12x from both sides:

[tex]-2x + 55 = 21[/tex]

And now let's subtract 21 from both sides:

[tex]-2x+34=0[/tex]

Now we subtract 34 from both sides:

[tex]-2x=-34[/tex]

And divide both sides by -2.

[tex]x=17[/tex]

Hope this helped!

If the m<5 = 63 degrees, find the measure of <3

Answers

Answer: 117?

Step-by-step explanation:

What is the third of 45

Answers

Answer:

15

Step-by-step explanation:

A third of 45 is 1/3 multiplied by 45 or 45 divided by 3, which is equal to 15.

Answer:

15

Step-by-step explanation:

45 divided by 3 = 15

2(x-4)+2x=-6x-2 what is the solution

Answers

Step-by-step explanation:

hi the answer is x= 3/5

i have added 2 methods of solving it in the above picture. ask me if you have any questions

Answer:

x = 3/5

Step-by-step explanation:

This equation can be solved with algebraic techniques. We will simplify the equation by combining like terms and then use algebraic techniques in order to solve for x.

2(x - 4) + 2x = -6x - 2 Use the distributive property.

2x - 8 + 2x = -6x - 2 Combine like terms (variable terms first).

4x - 8 = -6x - 2 Add 6x to both sides of the equation.

10x - 8 = -2 Add 8 to both sides of the equation.

10x = 6 Divide by 10 on both sides of the equation.

x = 6/10 Simplify the fraction.

x = 3/5

HELP ASAP WILL MARK BRAINLIEST!!!!! The coordinates of point T are ​(0​,3​). The midpoint ST of is ​(​1,-5​). Find the coordinates of point S. The other endpoint is

Answers

Greetings from Brasil...

See the attached chart. The midpoint, M, has 8 units down on the Y axis. So the other half will also have 8 units after that point M. This is also true for the X axis.

Just make the difference between points T and M. For M and S they are the same quantities.

(0; 3) and (1; -5)

X: 1 - 0 = 1   (one unit until mid point)

Y: - 5 - 3 = - 8  (8 units until mid point)

To S:

S(W; Z)       M = center point coordinate value

W = M +  1 ⇒ W = 1 + 1 = 2

Z = M - 8 ⇒ Z = - 5 - 8 = - 13

S(2; -13)

SOMEONE HELP PLZ ASAP!!!!!

Answers

Answer:

a)A=53

b)A=42.68

c)A=60

Practice Sum

If y is inversely proportional to x and y=4 when x=3

i) Express y in terms of X

ii) Find the value of y when x=6​

Answers

Answer:

I) y = 1/x

ii) y = 1/6

Step-by-step explanation:

inversely proportional just means that the right hand side is the inverse of the left hand side of an equation.

Simplify: 3(a+b)-2(2a-b)+4a-7a ​

Answers

Answer:

Hey there!

3(a+b)-2(2a-b)+4a-7a

3a+3b-4a+2b-3a

3b-4a+2b

5b-4a

-4a+5b

Let me know if this helps :)

Answer

[tex] \boxed{ \boxed{ \bold{ \red{ - 4a + 5b}}}}[/tex]

Step by step explanation

[tex] \sf3(a + b) - 2(2a - b) + 4a - 7a[/tex]

Distribute 3 through the parentheses

⇒[tex] \sf3a + 3b - 2(2a - b) + 4a - 7a[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf3a + 3b - 4a + 2b + 4a - 7a[/tex]

Collect like terms

⇒[tex] \sf3a +4a - 4a - 7a + 3b + 2b[/tex]

Since , two opposites add up to zero, remove them from the expression

⇒[tex] \sf3a - 7a + 3b + 2b[/tex]

⇒[tex] \sf - 4a + 5b[/tex]

Hope I helped!

Best regards!!

Help someone plzzzz!!!!

Answers

Answer:

G.

hope this explanation helps

Step-by-step explanation:

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