For algebraic expression 2x4

– 5x3 + 4x. + 7, find (5)

a) Degree of polynomial

b) Number of terms

c) Constant term

d) Coefficient of x

e) Numerical coefficient of -5x3

.

Answers

Answer 1

Answer:

See explanations below

Step-by-step explanation:

Given the algebraic expression 2x4– 5x3 + 4x. + 7,

a) The degree is the highest power of x in the equation, from the equation we can see that the highest power of x is 4. HEnce the degree of the equation is 4

b) The terms we have are 2x^4, -5x^3, 4x and 7. In counting, we can see that we only have 4 terms in the equation hence the number of terms is 4

c) The constant term si the term without the variable x. From the equation the only term without variable x is 7. Hence the constant term is 7

d) The number attached t x is known as its coefficient. The number besides x is 4 frim the equation. Hence the coefficient of x is 4.

e) The numerical coefficient of -5x^3 is -5 since the constant value attached to x^3 is -5


Related Questions

1. You want to put new carpet in your bedroom and the dimensions of your room
are 8.74 ft and 10.3 ft. If you want to find the area of your room to put new carpet
in, which of these problems would help you estimate how much carpet will you
need to buy?

Answers

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that a new carpet is to be put in the bedroom and that the dimensions of the room are 8.74 ft and 10.3 ft.

The area of the room will be the multiplication of the dimensions given. This will be:

= 8.74 × 10.3

= 90.022

= 90ft²

Based on these segment lengths, which group of segments can form a triangle?
OA.
3, 10, 14
B.
8, 7, 13
Oc.
3, 2,5
OD.
20, 7, 13

Answers

Answer:

20,7,13. are the most correct for a triangular shape

The average ratio of cats to dogs in the uk is 13:15 there are 5200 cats in the city of Bristol . Using the national average ratio , estimate how many dogs there are in the city of Bristol

Answers

Answer:

5,999

Step-by-step explanation:

Select all the situations that describe a probability of 1/6 of drawing a red marble out the bag.

(A) 1 red, 6 yellow, 6 green, 6 blue, 6 white

(B) 3 red, 4 yellow, 4 green, 4 blue, 3 white

(C) 4 red, 5 yellow, 5 green, 4 blue, 6 white

(D) 6 red, 6 yellow, 6 green, 6 blue, 6 white


6 red, 4 yellow, 8 green, 6 blue, 12 white

Answers

The correct answer is E (6 red, 4 yellow, 8 green, 6 blue, 12 white).

E) 6 + 4 + 8 + 6 + 12 = 36 (total marble count)
6 red/36 total marbles
simplify to find the probability ⬇️
(6/6=1; 36/6=6) = 1/6 chance of picking red

18 more than the product of k and 5 Evaluate the expression for the value of the variable, k : 7 Please type your answer in the box below. NUMBERS ONLY!

Answers

Answer:

The Answer Is 125.

Step-by-step explanation:

As, 18 More Than K Means

18 More Than 7

So, It's 25

Then Evaluate 25 With 5

It's 25(5)

Or 25 × 5

It's 125.

The difference between 30 and a number is 4.

Answers

Answer:

26

Step-by-step explanation:

30-4=26

thirty minus four equal 26

30-4=26 the difference is 26

A full-time employee who works 40 hours per week earns $27.50 per hour. Estimate that person's income. Round 52 weeks to 50 weeks per year, and round the hourly wage to the nearest dollar for the estimate. what is the estimated of annual income?

Answers

fifty five thousand 55,000

I have a quick question please someone answer Is 5/8 irrational?

Answers

Answer:

no

Step-by-step explanation:

5/8=0.6250 so its rational

Answer: no

Step-by-step explanation: 5/8 is rational because it is another way of writing the ratio 5:8. So no, 5/8 is not an irrational number.

PLEASE HELP

The value of Amy's car depreciated each year after she bought it. The function v(t) = 24, 893(0.88) represents the value of Amy's car t years after she bought it. What is the rate of depreciation?

Answers

Answer:

12%

Step-by-step explanation:

1 - 0.88= 0.12 x 100 = 12

What is 7 1/5 written as a percent

Answers

Answer:

720%

Step-by-step explanation:

Answer:

720 %

Step-by-step explanation:

Method 1

If 1 is equal to 100 percent, then 7 would be 700 percent. 1/5 is equal to 20 percent. If you add 700 % and 20 % you will get 720 %

Method 2

7 1/5 is equal to  

7/1 × 5/5 + 1/ 5 = 35/5 + 1/5 = 36/5

We know that 36/5 is the same as 36 ÷ 5

36 divided by 5 gives us 7.2

Convert the decimal to a percent:

7.2 × 100 = 720%

Hope this helps :)

PS. PLZZZZZZZ GIVE ME BRAINLIEST!!!!

The price on the price sheet of a new car contains the bottom line what is another name for this cost?

Answers

Answer:

C. MSRP

Step-by-step explanation:

Commonly called the sticker price because it’s the bottom line figure in a cars window sticker, is the base price plus any options

There are different kinds of terms. Another name that can be used for the cost above is Sticker Price.

What is the sticker price?

The sticker price is also known or called the total MSRP. It is often said to be sticker price due to the fact that it is the conclusive ( bottom line ) figure found on a car's window sticker.

Tis also known as the base price with the addition of any other options, option-package discounts, etc. A person can purchase a vehicle for less than the amount of the sticker price.

Learn more about Sticker Price from

https://brainly.com/question/11947230

What is blank _+ 5 = 5 + 9 ?

And 16 • 4 = • 16?

Answers

Answer:

The first one would be 9

The second one would be 4

Step-by-step explanation:

By adding the same numbers, you make the equations equal and therefore true.

the coefficient of x in the expression of(x+3) (x-1) is​

Answers

Answer:

i think 4

Step-by-step explanation:

[tex]x^{2} +4x-3[/tex]

The measure of angle A in ABC is twice the measure of angle B and the measure of angle C is 20° less than the measure
of angle B. What are the measures of the angles in ABC?

Answers

Answer:

m∡A = 100°

m∡B = 50°

m∡C = 30°

Step-by-step explanation:

let 'x' = m∡B;  50°

let '2x' = m∡A;   100°

let 'x-20' = m∡C;   30°

x + 2x + x - 20 = 180

4x - 20 = 180

4x = 200

x = 50

The function d =
45t gives the distance d Juan traveled in miles after t hours.

is this discrete or continuous data?

Answers

Answer:

Continuous data

Step-by-step explanation:

Given

[tex]d = 45t[/tex]

Required

Discrete or Continuous?

From the question, we understand that t represents time in hours. This is a continuous data.

When multiplied by 45 to give distance, the resulting data is also continuous.

Hence, [tex]d = 45t[/tex] is continuous

Answer:

d = 2.5t, continuous

Step-by-step explanation:

Just did it on Edge and got it right

A graprfruit has a mass of 100 grams, a watermelon has a mass 4 times the mass of the grapefruit. What ia the mass of the watermelon in centigrams?

Answers

The grapefruit weighs 100g
If the watermelon weights 4 times this, we multiply by 4
100g x 4 = 400g
Watermelon = 400g
A centigram is 100th of a gram
Therefore to work out how many centigrams it is, we multiply by 100
400 x 100 = 40,000 cg

Please help me
What type of association does the graph show between x and y?

Answers

Answer:

Linear positive association

What is answer for (11x-32)=45

Answers

Answer: x=7

Step-by-step explanation:


(11x-32)=45

We move all terms to the left:

(11x-32)-(45)=0

We get rid of parentheses

11x-32-45=0

We add all the numbers together, and all the variables

11x-77=0

We move all terms containing x to the left, all other terms to the right

11x=77

x=77/11

x=7

Help please with this
Look at picture
Complementary angles

Answers

Answer:

70°

Step-by-step explanation:

80° - x + 80° = 90° { being complementary angles }

160° - x = 90°

x = 180° - 90°

x = 70°

Hope it will help :)

B. Subtract the following integers
16.9 - (-5) =
17. - 12 - ( + 8) =
18. 15 - 9=
19. - 5 - (-8)=
20. - 11 - ( + 14 ) =​

Answers

Answer:

16. 9 - (-5) = 21.9

17. -12 - ( + 8) = -4

18. 15 - 9 = 6

19. -5 - (-8)= 3

20. -11 - ( + 14 ) =​ -25

Step-by-step explanation:

Subtracting a negative from another number is the same as adding the number.  Thus, 16.9 - (-5) = 16.9 + 5.

Hope it helps <3 :)

Answer:

16.9-(-5)=21.9

17.-12-(+8)= -3

18.15-9=9.15

19.-5-(-8)=22

20.-11-(+14)=-5

3. FIELD TRIP There is space for 120
students to go on a field trip. Currently
,
74 students have signed up. Write and
solve an inequality to find how many
more students can sign up for the
field trip.
i need help plz

Answers

well if

120-74=46

then 46 is the correct answer.

74+46=                    120

46 more students can sign up for the field trip.

Answer:

74 + (x) = 120

Step-by-step explanation:

subtract 74 from 120

120 - 74 = 46

Anybody know how to do lowest terms and can teach me how to get the answer to lowest terms questions?

Answers

Answer:

Step-by-step explanation:

6/9+x=7/10

x=7/10-6/9

when adding fractions both denominators must be equal, we’ll make them 90

x=(7/10)(9/9)-(6/9)(10/10)

x=63/90-60/90

x=3/90, the greatest divisor of 3 and 90 is 3 so divide both the numerator and denominator by 3

x=(3/3)/(90/3)

x=1/30

A person who is standing on a ledge throws a rock into the air. The rock reaches a maximum height of 676 feet

above the ground after 1.5 seconds.

If the rock hits the ground below the ledge 8 seconds after it is thrown, which quadratic function can be used to find

the height of the rock above the ground t seconds after it is thrown?

Answers

Answer:

The quadratic equation is [tex]h(t) = -318.22t^2 + 954.67t + 12728.89[/tex]

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta= b^{2} - 4ac[/tex]

Quadratic equation:

[tex]ax^2 + bx + c = 0[/tex]

The rock reaches a maximum height of 676 feet above the ground after 1.5 seconds.

This means that:

[tex]-\frac{b}{2a} = 1.5[/tex]

[tex]y_{v} = -\frac{b^2-4ac}{4a} = 676[/tex]

If the rock hits the ground below the ledge 8 seconds after it is thrown

This means that:

[tex]64a + 8b + c = 0[/tex]

Relation of b and a:

[tex]-\frac{b}{2a} = 1.5[/tex]

This means that:

[tex]b = -3a[/tex]

Relationship of c and a:

[tex]64a + 8b + c = 0[/tex]

[tex]64a - 24a + c = 0[/tex]

[tex]c = -40a[/tex]

Finding a:

[tex]y_{v} = -\frac{(-3a)^2-4a(-40a)}{4a} = 676[/tex]

[tex]9a^2+160a = -2704a[/tex]

[tex]9a^2 + 2864a = 0[/tex]

[tex]a(9a + 2864) = 0[/tex]

Since it is a quadratic equation, a cannot be 0.

[tex]9a + 2864 = 0[/tex]

[tex]9a = -2864[/tex]

[tex]a = -\frac{2864}{9}[/tex]

[tex]a = -318.22[/tex]

Finding b and c:

[tex]b = -3a = -3(-318.22) = 954.67[/tex]

[tex]c = -40a = -40(-318.22) = 12728.89[/tex]

The quadratic equation is given by:

[tex]h(t) = -318.22t^2 + 954.67t + 12728.89[/tex]

The quadratic equation is [tex]h(t) = -318.22t^2 + 954.67t + 12728.89[/tex]

Please please please answer this and show the steps. I’ll give Branliest to whoever replies first

Answers

Answer:

x = -3

y = 4

Step-by-step explanation:

distribute first

7x + 35 = 2y + 6

combine 'like terms'

7x - 2y = -29

do same steps for second equation

4x + 4y = 13 + 3x

x + 4y = 13

System of Equations:

7x - 2y = -29

x + 4y = 13

Multiply the first equation by 2 to eliminate the 'y-term'

  14x - 4y = -58    (Now add this to the second equation)

+  x + 4y = 13

  15x = -45

x = -3

Substitute -3 for 'x' to find 'y'

-3 + 4y = 13

4y = 16

y = 4

Please help ASAP if you know how. Thanks so much

Answers

i’m not so sure i’m sorry

Answer:

B) -6.61, 0.61

Step-by-step explanation:

Answer obtained by graphing the formula.

4k+1/2-2

Can Anyone help me

Answers

Answer:

4k-2/3

Step-by-step explanation:

Factorise 9x^2y+12xy^2

Answers

Answer:

3x(3xy + 4y^²).

Step-by-step explanation:

Mskqkkqkaak

Centerpieces are normally distributed with mean of 30 ounces and standard deviation of 2 ounces. The weights of the shipping boxes are normally distributed with mean of 12 ounces and standard deviation of 1 ounce. Suppose that centerpieces are chosen at random and packed into randomly chosen shipping boxes.If a package exceeds 45 ounces, an additional charge is incurred. What is the proportion of packages will incur such a charge

Answers

Answer:

0.0901 = 9.01% of packages will incur such a charge

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Sum of normal variables:

When we add normal variables, the mean will be the sum of the means, while the standard deviation is the square root of the sum of the variances.

Centerpieces are normally distributed with mean of 30 ounces and standard deviation of 2 ounces.

This means that [tex]\mu_C = 30, \sigma_C = 2[/tex]

The weights of the shipping boxes are normally distributed with mean of 12 ounces and standard deviation of 1 ounce.

This means that [tex]\mu_S = 12, \sigma_S = 1[/tex]

Suppose that centerpieces are chosen at random and packed into randomly chosen shipping boxes.

The shipment is given by the centerpice plus the shipping box. So the mean and the standard deviation of the weight are given by:

[tex]\mu = \mu_C + \mu_S = 30 + 12 = 42[/tex]

[tex]\sigma = \sqrt{\sigma_C^2 + \sigma_S^2} = \sqrt{2^2 + 1^2} = \sqrt{5} = 2.236[/tex]

If a package exceeds 45 ounces, an additional charge is incurred. What is the proportion of packages will incur such a charge

This proportion is 1 subtracted by the pvalue of Z when X = 45. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{45 - 42}{2.236}[/tex]

[tex]Z = 1.34[/tex]

[tex]Z = 1.34[/tex] has a pvalue of 0.9099

1 - 0.9099 = 0.0901

0.0901 = 9.01% of packages will incur such a charge

A school raised $18,000 at a charity event. A, B, and C, in ratio 1: 2: 3. How much money did each charity receive?​

Answers

Answer:

3000

6000

9000

Step-by-step explanation:

18000/6=3

A=1(3000)=3000

B=2(3000)=6000

C=3(3000)=9000

hi can you please help me with my work​

Answers

Answer:

The answer is 3 1/2 inches!

Step-by-step explanation:

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