QUESTION 4 PATTERNS, FUNCTIONS AND ALGEBRA 1. Given 6x³-8x³+2+9x7-4x a. How many terms are there in the polynomial? State the degree of the polynomial c. Determine the value of the polynomial if x=-1 b.​

Answers

Answer 1

Answers:

a)  There are 5 termsb)  Degree = 7c)  The value is -1

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

Explanation:

a) Each term is separated by a plus or a minus.b) The degree is equal to the largest exponent. This applies to single variable polynomials only.c) Replace each x with -1. Then use the order of operations PEMDAS to simplify. You should get -1 as the answer. Use a calculator to confirm. It is a coincidence that we have the same input and output. This will not always happen with any general polynomial function.

Related Questions

A worker uses 560 inches of steel wire to make 350 springs of the same size. At this rate how many inches of steel wire are needed to make 1 spring?

Answers

Answer:

1.5 inches of steel

Step-by-step explanation:

450/300

=1.5 in.

please help me identify these!!!

Answers

1 United states
2 Ukraine
3 Pakistan
4 Mexico
5 Saudi Arabia
6 Sudan
7 Algeria
8 China
9 Brazil
10 Russia

A rectangle has perimeter 60cm and length 24cm. What is its​ width?
PLZ HELP

Answers

Answer: w = 6

Step-by-step explanation:

The formula will be w = [tex]\frac{p}{2}[/tex] - l

So it would be w = [tex]\frac{60}{2}[/tex] - 24

Simplify

w= 30-24

Simplify

w = 6

~I hope I helped you! :)~

PLEASE HELP!!! Justify each step in solving the equation (WILL GIVE BRAINLIEST!)

Answers

2. Addition POE(property of equality)
3. Add variables
4. Subtraction of integers
5. Division of integer

Can you guys help me answer these two questions on percentage please ❤️❤️

Answers

Answer:

Question 2- 9

Question 3- 75%

Step-by-step explanation:

Two cyclists start from the same point at the same time and move in opposite directions. One cyclist is traveling at 7 mph, and the other cyclist is traveling at 11 mph. After 30 min, how far apart are the two cyclists? mi Need Help? Read it Watch​

Answers

Given parameters:

Speed of Cyclist 1  = 7mph

Speed of Cyclist 2 = 11mph

Time of travel  = 30min  = 0.5hr(60min  = 1hr)

Unknown:

Distance separating them  = ?

To solve this problem, we must understand that speed is the distance per unit time traveled.

Mathematically;

           Speed  = [tex]\frac{Distance}{Time}[/tex]

Now we are to find the distance separating the two cyclists;

           Distance  = speed x time

To find the distance separating the two cyclists, find the sum of their individual distances covered.

 Distance separating them = Distance covered by cyclist 1   + Distance covered by cyclist 2

Now input the parameters;

       

Distance of separation =  (7 x 0.5)   +  (11 x 0.5)   = 3.5 + 5.5 = 9miles

The distance separating them is 9miles

Please help will give 50 points​

Answers

Answer:

1. A) Contradiction2. C) Identity3. z = ( - oo, 7)

Step-by-step explanation:

1. Simplifying

4(x + 3) = -7(6 + 2x) + 18x4x + 12 = -42 - 14x + 18x4x + 12 = 4x - 42

The left and right sides are different so the answer is:

A) Contradiction

2. Simplifying

5(x - 9) + 10x = 6x + 9(x - 5)5x - 45 + 10x = 6x + 9x - 4515x - 45 = 15x - 45

The left and right sides are identical so the answer is:

C) identity

3. Solving inequality:

-2( -3z + 3) < 2z + 226z - 6 < 2z + 224z < 28z < 7z = ( - oo, 7)

Answer:

1. A) Contradiction

2. C) Identity

3. z = ( - oo, 7)

Suppose that COP and TOD are vertical angles. MCOP = 11x-17 and mTOD =9x+11

Answers

Answer:

[tex]x = 14[/tex]

Step-by-step explanation:

Given

[tex]COP = 11x- 17[/tex]

[tex]TOD = 9x + 11[/tex]

Required

Determine x

Since COP and TOD are vertical angles, we have:

[tex]COP = TOD[/tex]

[tex]11x - 17 = 9x + 11[/tex]

Collect Like Terms

[tex]11x-9x = 11+17[/tex]

[tex]2x = 28[/tex]

[tex]x = 14[/tex]

Darius cuts out a square hole that is 6 inches long each side what is the area of the frame?

Answers

The area of the square hole having a side length of 6 inches is 36 inches².

What are the dimensions of a square?

The area of a square is a product of it's any two sides or a product of diagonals divided by two. If side has a length a then diagonal is a√2.

The perimeter of a square is the sum of the lengths of all the sides.

Given, Darius cuts out a square hole that is 6 inches long each side.

We know the area of a square is (side×side).

Therefore, The area of the square hole having a side length of 6 inches is = (6×6) = 36 inch²

learn more about squares here :

https://brainly.com/question/28776767

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Shia wants to purchase a pair of sneakers with an
original price of $25.00. The sneakers are on sale for
20% off and she had a coupon for $2.00 off any
purchase. Her mom wants her to determine the actual
price before they go to the store.
How much money would she save?
What is the new price of the sneakers?

Answers

Answer:

20% off of $25 is $20 , take away $2 with the coupon and that makes it $18

Step-by-step explanation:

A presidential candidate plans to begin her campaign by visiting the capitals in 3 of 42 states. What is the probability that she selects the route of three specific​ capitals?

Answers

Answer as a fraction = 1/68880 which is exact

Answer in decimal form = 0.0000145 which is approximate

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

Explanation:

Let's call these three cities A, B, and C

There is only one order ABC out of 42*41*40 = 68,880 different possible three city routes to pick from.

So the probability is 1/68880

If you want the answer in decimal form, then use your calculator to find

1/68880 = 0.0000145 approximately

Using the probability concept, it is found that there is a 0.000087 = 0.0087% probability that she selects the route of three specific​ capitals.

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

A probability is the number of desired outcomes divided by the number of total outcomes.The order in which the capitals are chosen is not important, which means that the combination formula is used to find the number of total outcomes.

Combination formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem:

1 desired outcome.The total number of outcomes is a combination of 3 from a set of 42, thus:

[tex]T = C_{42,3} = \frac{42!}{3!39!} = 11480[/tex]

The probability is:

[tex]p = \frac{1}{11480} = 0.000087[/tex]

0.000087 = 0.0087% probability that she selects the route of three specific​ capitals.

A similar problem is given at https://brainly.com/question/4037372

17. You want to test a new athlete's-foot treatment. You test men and women separately, randomly dividing them into treatment and control groups. The treatment groups receive the new treatment and the control groups receive an inert powder that resembles the treatment. Neither the subjects nor the test administrators know which groups receive the treatment and which groups receive the inert powder. At the end of the experiment, all subjects are asked to rate their degree of relief from athlete's foot. These scores are compared between groups. Which of the following groups of elements were present in this study?

a. Randomization, blocking, placebo, comparative, double-blind

b. Comparative, randomization, placebo, blind

c. Double-blind, randomization, comparative, placebo

d. Randomization, stratified sample, placebo, blind, treatment

e. Double-blind, control, observational, blocking

Answers

Answer:

a. Randomization, blocking, placebo, comparative, double-blind

Step-by-step explanation:

1. Randomization is the process of assigning the subjects in an experiment to any of the treatment groups. This was applied in this experiment when the researcher randomly divided the men and the women into treatment and control groups.

2. Blocking is introduced in an experiment in order to remove nuisance factors. The researcher introduced blocking in this experiment when he divided the men and women on the basis of gender.

3. The Placebo is the inert powder that was given to a group. It has no effect on the participants who receive it.

4. Comparative research compares the result from two groups. This is seen in this research hen the researcher compares the scores between the groups.

5. A double-blind experiment is one where neither the subjects nor the test administrators know which groups receive a treatment. This factor is present in this test.  

What additional information is needed to prove the triangles are congruent by SAS ?

EA¯¯¯¯¯≅CD¯¯¯¯¯

EB¯¯¯¯¯≅CB¯¯¯¯¯

∠BEA≅∠BCD

∠EAB≅∠CDB

Answers

Answer:

Answer choice B was correct

Step-by-step explanation:

Line segment EB is congruent to line segment CB. I took the test.

How many days are in 1 millennia? I will mark the first correct answer brainliest!

Answers

The answer is 365000 days

Answer:

365000

Step-by-step explanation:

/

rewrite it as a function and isolate y. ​

Answers

Answer:

f(x) = -5x + 16

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

y + 5x = 16

Step 2: Put into slope-intercept form

Subtract 5x on both sides; y = -5x + 16

Step 3: Rewrite in function notation

f(x) = -5x + 16

If somone could please give me the step by step explanation and the answers.

Answers

Answer:

If MP is bisector then

LMP= NMP = LMN/2= 112/2= 56

A food company produced 65 pounds of a new cereal. The marketing department wants to put the cereal into 4-ounce promotional boxes that will be given away for free. Assuming that the food company wants to use up all 65 pounds of the new cereal, will the marketing department need to order more than 260 4-ounce boxes? Defend your response.

Answers

Answer:

yes

Step-by-step explanation:

which number below has a value between 6.2 and 6.9​

Answers

Answer:

6.21-6.89

Step-by-step explanation:

13.1 because when you add them up, you have to cary some over tothe ones, thus, making it 13.1

Triangle PQR is rotated 180° clockwise about point M. The image of point P is P' and the image of point R is R'. What are the coordinates of the image point Q

Answers

Answer: C= (1,2)

Step-by-step explanation:

Answer: The correct answer is c

Step-by-step explanation:

Graph the solution of this inequality

Answers

Answer:

4/9x-10>x/3-12

4/9x-x/3>-12+10

4/9x-3/9x>-2

1/9x>-2

x>-18

Step-by-step explanation:

Math geometry pls help:)
Find all missing angles

Answers

Answer:

m<1 = 51 degrees

m<2 = 18 degrees

m<3 = 123 degrees

m<4 = 39 degrees

Step-by-step explanation:

To solve this problem, let's first try to find the measure of angle 1.

To do this, we must remember that the sum of the interior angles of a triangle must equal 180 degrees.  Using this knowledge, we can set up the following equation:

72 + 57 + m<1 = 180

Our first step in solving this equation is to simplify the left side by adding together the two constant terms.

129 + m<1 = 180

Next, we can subtract 129 from both sides of the equation.

m<1 = 51 degrees

Now, we can solve for angle 2.

We can see that angle 2 and the angle measuring 72 degrees together make a right angle, which is 90 degrees.  From this observation, we can set up the following equation:

m<2 + 72 = 90

To solve, we subtract 72 from both sides of the equation.

m<2 = 18 degrees

Now, we can solve for angle 3.

We can see from the diagram that angle 3 and the angle measuring 57 degrees are supplementary.  This means that their sum should equal 180 degrees, and the two angles together make a straight line.  This lets us set up the following equation:

m<3 + 57 = 180

To solve, we subtract 57 from both sides of the equation.

m<3 = 123 degrees

Finally, we can solve for angle 4.

We can solve for angle 4 using the same strategy we used to solve for angle 1.  Our equation for angle 4 is as follows:

m<2 + m<3 + m<4 = 180

18 + 123 + m<4 = 180

Let's first simplify the left side of the equation.

141 + m<4 = 180

We can subtract 141 from both sides of the equation as our next step.

m<4 = 39 degrees

Therefore, the correct answers are m<1 = 51 degrees, m<2 = 18 degrees, m<3 = 123 degrees, and m<4 = 39 degrees.

Hope this helps!

Pennies are packaged 50 in a roll. A mother gave her son 95 pennies for his bank and had 5 pennies left over. How many rolls of pennies did she use?

Answers

Answer:

2

Step-by-step explanation:

Because if she added those pennies it would be 100 pennies total. And since 100 divided by 50 is 2 the correct answer is 2

Answer:

she used 2 rolls of pennies

Step-by-step explanation:

in order to do this question, you have to add 95 with 5 to get 100 pennies, then you divide 100 with 50 in order to get 2, this means that the mother used 2 rolls of pennies.

how do i solve integrals?

Answers

Answer:

Step-by-step explanation:

So the integral of 2 is 2x + c, where c is a constant. An "S" shaped symbol is used to mean the integral of, and dx is written at the end of the terms to be integrated, meaning "with respect to x". This is the same "dx" that appears in dy/dx . To integrate a term, increase its power by 1 and divide by this figure.

Write y= -472 -167-14 in vertex form.

Answers

Answer: l used to know that

Step-by-step explanation:

Question 2
Keep the triangle that you created in Question 1. You will now copy the triangle to a different location on the grid using two of its sides
included angle:
• In a different place on the grid, draw a new line segment of the same length as one of those recorded in Question 1. (This will be e
you draw the new line segment parallel or perpendicular to the corresponding line segment in the original triangle.)
• At one of the endpoints of the new line segment, create an angle using the angle measurement that you recorded in Question 1.
• Once you've created the angle, draw a ray through it.
• Identify the other line segment you recorded in Question 1. On the ray, make a line segment equal in length to the identified segm
way to do this is to draw a circle with a radius equal to the segment length. Then place a point at the intersection of the ray and the
• Finish copying the triangle by drawing a polygon through the three points you created.
You should now have two triangles on the grid. What do you notice about the two triangles in terms of their size and shape?
В І U x?
Font Sizes A- A - E 3
X

Answers

Answer:

The triangles appear to be the same size and shape.

Step-by-step explanation:

edmentum

The triangles appear to be the same size and shape.

What are the 3 principal types of triangles?

In line with internal angles, there are three sorts of triangles i.e., acute, right, and obtuse-angled triangle. according to the period of aspects, triangles can be categorized into 3 classes i.e., Scalene, Isosceles, and Equilateral triangle.

What are the six elements of a triangle?

The six factors of a triangle are its 3 angles and the 3 facets. the line segment becoming a member of a vertex of a triangle to the mid factor of its opposite side is called a mean of the triangle. A triangle has three medians.

Learn more about triangles here: brainly.com/question/1675117

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2. Trapezoid WXYZ is located at W(2.1) X[3.
5) Y(6.5) and Z[7. 1). After being translated 6
Units down, what are the new coordinates
of Point Y?

Answers

Point Y is (6, -1)

Subtract 6 from the y coordinate in point y since it is translated down. keep the x coordinate since it is only being translated up and down, or by the y axis

What is the TOTAL BALANCE *
A $1633.50
B $5989.50
C $6253.60

Answers

The answer would be B

Because the 7.5% of 4356 is 326.7 and you pay interest every year, and in the question it is asking for your balance in 5years so you multiply 326.7 by 5 and you get 1633.5 then you add that to the savings account and you get 5989.50, the equation is y=4356+326.7x

HELP ASAP!! What’s the answer to this? (with steps)

Answers

Answer:

x = 13.5°

Step-by-step explanation:

Angles 2 + 3 = a straight line, so 180°

180 - 66 = 114 = angle 2

114 = 10x - 21

114 + 21 = 10x

135 = 10x

135 / 10 = x

13.5 = x

Evaluate sin 60° without using a calculator by using ratios in a reference triangle.

Answers

450 is the answer buddy

(Before you answer I am looking for how I do it. I have the answers but I need to know an equation to do this instead of using logic)

The sum of two consecutive even numbers is 30. How can you solve for the 2 numbers?

Answers

Answer:

14 and 16.

Step-by-step explanation:

We know that two consecutive even numbers is 30.

Let's let n be any number.

Then the first even number must be 2n.

This is because n can be any number, either even or odd. However, if we multiply it by 2, this ensures that 2n is even. Remember that any number multiplied by 2 yields an even number.

Therefore, the consecutive even number will be (2n+2). Not (2n+1), because that gives an odd number.

We know that they sum to 30. So, we can write the following equation.

[tex](2n)+(2n+2)=30[/tex]

And we solve from there:

[tex]4n+2=30\\\Rightarrow4n=28\\\Rightarrow n=7[/tex]

So, the value of n is 7.

Therefore, the first even number is 7(2)=14.

And the consecutive even number is 16.

Edit: Typo

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