Module 3 DBA: What key features can be identified from graphs of polynomials of higher-
degrees and explain how the key features can be used sketch the graph of the polynomial
function? Remember to include how solutions are represented.

Answers

Answer 1

to be honest i dont remember srry

Answer 2

Answer:

Polynomials are algebraic expressions that contain more than two terms. AN example would be: f(x) = x^3 + x^2 + x +1. This equation contains three terms, with the 3rd degree as its highest term. It also means that the graph passed three x-intercepts. This depends in the highest degree. So, the first thing you do is plot the intercepts because for sure, the graph will pass there.

Step-by-step explanation:


Related Questions


A married couple had a combined annual income of $58,000. The wife made $2000 more than her husband. What was each of their incomes?

Answers

Answer:

Let the income of husband be X

The income of wife will be = X+2000

Combined income of couple will be= (X+2000) + X

                                                   = 2X+2000

It is given that combined income of couple is = 58000

Therefore  2X+2000= 58000

                 2X = 58000-2000

                 2X = 56000

                 X= 56000/2 = 28000

Therefore Income of husband is 28,000

and Income of wife = 28000+2000= 30,000

Step-by-step explanation:

Both of there incomes are 2600 because of you divide the 2000 more that how much they make

Algebraic Proof

Match the justification to each step of the deductive reasoning about this picture. Please Help!

Answers

The following are deductive reasoning for each statement in the algebraic proof given:

1. CD + DE = CE (Segment Addition Postulate)

2. 8 + (3x + 7) = 6x (Substitution)

3. 3x + 15 = 6x (Combining like terms)

4. 15 = 3x (Subtraction Property of Equality)

5. x = 5 (Division Property of Equality)

6. CE = 6(5) (Substitution)

Recall:

The Segment Addition Postulate states that when a point lies between two endpoints on a line segment, the length of the larger segment equals the sum of the lengths of the two smaller segments formed.

Thus, the following are deductive reasoning for each statement in the algebraic proof given:

1. CD + DE = CE (Segment Addition Postulate)

2. 8 + (3x + 7) = 6x (Substitution)

Rationale: Plug in the values of CD, DE and CE

3. 3x + 15 = 6x (Combining like terms)

Rationale: Add 8 and 7 together

4. 15 = 3x (Subtraction Property of Equality)

Rationale: Subtract 3x from each side of the equation.

5. x = 5 (Division Property of Equality)

Rationale: Divide each side of the equation by 3).

6. CE = 6(5) (Substitution)

Rationale: Plugging in the value of x into "6x"

Learn more about Segment Addition Postulate on:

https://brainly.com/question/2134445

what is 24x + 4 = 52​

Answers

Answer:

x=2

Step-by-step explanation:

24x=48, x=2 (subtract 4 from both sides)

Answer:

[tex]\bf 24x+4=52[/tex]

[tex]\bf 24x+4-4=52-4[/tex]

[tex]\bf 24x=48[/tex]

[tex]\bf \cfrac{24x}{24}=\cfrac{48}{24}[/tex]

[tex]\boxed{\bf x=2}[/tex]

⊱ ────── {.⋅ ✯ ⋅.} ────── ⊰

A cyclist travels 9.6 km in 30 minutes. What is his average speed in km/h?​

Answers

Answer:

[tex]\frac{95}{5} \frac{km}{hour}= 19.2 km/hour[/tex]

Step-by-step explanation:

Average speed = distance/time

Average speed = [tex]\frac{9.6}{30} \frac{km}{min}[/tex] ; multiply by 60min/1hour

Average speed = [tex]\frac{95}{5} \frac{km}{hour}= 19.2 km/hour[/tex]

i will mark brainliest!!!!!!

Answers

Answer:

k=10x+6

Step-by-step explanation:

64 is equal to 2^6, so we just have 2^6*4^5k

4^5x is equal to 2^10x and we have 2^6*2^10x=2^k

Apply exponent multiplication rule : a^m*a^n=a^m+n

We get 2^10x+6, so 10x+6 is our answer

The answer is k= 10x+6

Answer the following giving reasons or steps. A 175 degree angle is bisected . What are the values of the new angles formed ?

Answers

The values of the new angles formed measure 87.5° each.

Angles are formed by the intersection of two lines sharing a common endpoint.

Bisect means to divide into two equal parts. Bisection of an angle is to divide an angle into two equal parts.

Given a 175 degree angle is bisected, the measure of each angle is:

Measure of each angle = 175 / 2 = 87.5°

The values of the new angles formed measure 87.5° each.

Find out more at: https://brainly.com/question/1921910

if a car uses one gallon of gas every 25 miles how much miles would he make with 8 gallons

Answers

Step-by-step explanation:

One gallon = 25 miles

8 gallon= 25×8 miles= 200 miles

How to solve absolute value inequalities.

Answers

Answer:

I cant even see anything can you reupload your answer, please?

Step-by-step explanation:

How to turn improper fractions into mixed numbers.

Answers

Answer:

To convert an improper fraction to a mixed fraction, divide the numerator by the denominator, write down the quotient as the whole number and the remainder as the numerator on top of the same denominator. Let us see an example of this conversion

Step-by-step explanation:

Convert 23/4 into a mixed fraction

help me please.........

Answers

Answer:

the answer is 10,700 :)

Step-by-step explanation:


©
Make x the subject of the formula
y = mx – C

Answers

Answer:

x = [tex]\frac{y+c}{m}[/tex]

Step-by-step explanation:

Making it the subject means "setting the equation equal to it"

y = mx – C

y + c = mx

[tex]\frac{y+c}{m}[/tex] = x

x = [tex]\frac{y+c}{m}[/tex]

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

y=mx+c  

⟹(y)−c=(mx+c)−c  

⟹y−c=mx+(+c−c)  

⟹y−c=mx+0  

⟹y−c=mx  

⟹mx=y−c  

⟹mx×(1m)=(y−c)×(1m)  

⟹x×(mm)=1m(y−c)  

⟹x×1=1m(y−c)  

⟹x=1m(y−c)

Step-by-step explanation:

is it correct?
or not​

Answers

Yes,it is
……………………..
Yes, it is correct. :)

equation of the line that passes through the point (4,–5) and is perpendicular to the line y=1/3x+5

Answers

Answer:

y=1/3x+5 hope it helps you

y is directly proportional to the square root of ( x-3 ). When x = 28, y = 20. Find y when x = 39.

Answers

Answer:

24

Step-by-step explanation:

y is directly proportional to the square root of ( x-3):

y = k[tex]\sqrt{x-3}[/tex], where k is the coefficient of proportionality

Given:

y is 20 when x is 28

Find k:

20 = k[tex]\sqrt{28-3}[/tex]20 = k* 5k = 20/5k = 4

Find y when x = 39:

y = 4[tex]\sqrt{39-3}[/tex]y =4[tex]\sqrt{36}[/tex]y = 4*6y = 24

Answer:

y = 24

Step-by-step explanation:

Given y is directly proportional to [tex]\sqrt{x-3}[/tex] then the equation relating them is

y = k[tex]\sqrt{x-3}[/tex] ← k is the constant of proportion

To find k use the condition when x = 28, y = 20 , then

20 = k × [tex]\sqrt{28-3}[/tex] = k × [tex]\sqrt{25}[/tex] = 5k ( divide both sides by 5 )

4 = k

y = 4 [tex]\sqrt{x-3}[/tex] ← equation of proportion

When x = 39 , then

y = 4 × [tex]\sqrt{39-3}[/tex] = 4 × [tex]\sqrt{36}[/tex] = 4 × 6 = 24

PLZ HELP DUE SOOOONNNN (solve for z).

Answers

Answer:

[tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]

Step-by-step explanation:

Given the algebraic equation, [tex]{\huge{\green{\mathsf{x\:=\frac{3yz^2}{4}}}}[/tex], and that we must solve for z :

The first step is to multiply both sides by 4 to eliminate the fraction on the right-hand side of the equation:

[tex]{\huge{\green{\mathsf{x\:=\frac{3yz^2}{4}}}}[/tex]

[tex]{\huge{\green{\mathsf{(4)\:x\:=\frac{3yz^2}{4}(4)}}}[/tex]

4x = 3yz²

Next, divide both sides by 3y:

[tex]{\huge{\green{\mathsf{\frac{4x}{3y}\:=\frac{3yz^2}{3y}}}}[/tex]

[tex]{\huge{\green{\mathsf{\frac{4x}{3y}\:=z^2}}}[/tex]

Lastly, take the square root of both sides to isolate the variable, z :

[tex]{\huge{\green{\mathsf{\sqrt{\frac{4x}{3y}}\:=\sqrt{z^2}}}}[/tex]

[tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]

Therefore, the equation for z is:   [tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Which expression best estimates 6 3/4 divided by 1 2/3
A 7 divided by 2
B 6 divided by 1
C 8 divided by 3
D 3 divided by 2

Answers

Answer:

B is my answer si no sorry

Simplify: [tex]-\sqrt{16x^2}[/tex] if x<0

Answers

Answer:

[tex]$-4x$[/tex]

Step-by-step explanation:

First, let us write this equation into an easier one. We have:

[tex]$-\sqrt{16x^2}=-\sqrt{4^2x^2}$[/tex]

The exponents cancel out with the square root, so we have:

[tex]-4x[/tex]

as our answer.

HOPE IT HELPS :D

An electronics retailer sells a washing machine at cost price (how much the retailer paid for it) of $400 with a profit of 20%. What price does the customer pay?

Answers

Answer:

$480

Step-by-step explanation:

400 × .20 = 80

the retailer got an extra 20% or $80 for the machine.

$400 + $80 = $480

The customer paid $480 for the washing machine.

Umm is this right or wrong and if it's wrong can you tell me the right answer?

Answers

Answer:

30

Step-by-step explanation:

d=√(24²+18²)=6√(4²+3²)=6√(16+9)=6√(25)=6×5=30

what is -7/12 divide 1/7?
PLZ show work!!!!

Answers

Answer:

Step-by-step explanation:

When dividing two fractions you would turn the divisor into its reciprocal then multiply. So -7/12 divided by 1/7 would be equal to -7/12 multiplied by 7/1 (7/1 is the reciprocal of 1/7)

-7/12 divided by 1/7 =

-7/12 multiplied by 7/1=

-49/12

Simplify.

The pic of the question is down below
Show all working

Answers

Answer:

GF ≈ 11.2HD ≈4.3∠HDE ≈68.8°

Step-by-step explanation:

The relevant trig relations are ...

  Tan = Opposite/Adjacent

  Sin = Opposite/Hypotenuse

These tell us ...

  tan(43°) = GH/DG

  GH = DG·tan(43°) = (12 cm)·tan(43°) ≈ 11.2 cm

and ...

  sin(HDE) = EH/ED = (11.2 cm)/(12 cm)

  ∠HDE = arcsin(11.2/12) ≈ 68.8°

The length HD can be found from ...

  tan(68.8°) = HE/HD

  HD = HE/tan(68.8°) = (11.2 cm)/tan(68.8°) ≈ 4.3 cm

_____

Additional comments

The values shown in the solution here are rounded according to the problem statement. The values actually used in the calculations are the full-precision calculator values. Rounding is only done on the final answers.

Which sign makes the sentence true?
3/2_- 3/2
<
>

Answers

>

As any positive is greater than a negative number

ANSWER QUICKLY WILL GIVE BRAINLIEST

Answers

Answer:

\sqrt(3)[cos((4\pi )/(45))+isin((4\pi )/(45))]

Step-by-step explanation:

The first one.

Find the sum of a third of (a+b) and a fifth of (a-b)

Answers

Step-by-step explanation:

As per linear equation, the required sum is [tex]\frac{2(a+4b)}{15}[/tex].

What is a linear expression?

A linear expression is an expression where the variable has the highest power of 1.

Given  liner expression is:

[tex]\frac{a+b}{3}-\frac{a-b}{5}\\= \frac{5(a+b)-3(a-b)}{15}\\= \frac{5a+5b-3a+3b}{15}\\= \frac{2a+8b}{15}\\= \frac{2(a+4b)}{15}[/tex]

Therefore, the required sum is  [tex]\frac{2(a+4b)}{15}[/tex].

Learn more about a linear equation here: https://brainly.com/question/1722892

SPJ2

Which scatter plot shows a positive linear association

Answers

Answer:

Plot A

Step-by-step explanation:

Both B and C show a decreasing plot, while C is linear.

Only A is a positive ignoring the outliers.

Solve for x

8-2x=-12

PLEASE HELP WHAT IS X

Answers

Answer:

x=10

Step-by-step explanation:

X is 10! Hope this helps!

A manufacturer produces cell phone she estimates that by selling them for x dollars she will be able to sell them for 285 minus 2X each week determine what the maximum revenue will be round your answer to two decimal places

Answers

Answer:

38.30

Step-by-step explanation:

because 230 -6x=0

Help with Math will give Brainless to people who get it write the test shows me!!!

Answers

Answer:

(2,1)

Step-by-step explanation:

Divide by 3

(6,3)/3 = (2,1)

solve pls brainliest

Answers

Answer:

sorry, I cant help... i am not able to see the picture

Step-by-step explanation:

Use the following function rule to find f(1).

f(x) = 8^x+7

f(1) =

Answers

Given the function [tex]f(x)=8^x+7[/tex], the value of f(1) is f(1)  =  15

The given function is:

[tex]f(x)=8^x+7[/tex]

To find f(1), substitute x = 1 into f(x) and evaluate for the result

[tex]f(1)=8^1+7[/tex]

Simplify the resulting equation to get the final result

f(1)  =  8  +  7

f(1)   =  15

Therefore, given [tex]f(x)=8^x+7[/tex], the value of f(1) is f(1)  =  15

Learn more here: https://brainly.com/question/25747693

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