see screenshot below

See Screenshot Below

Answers

Answer 1

Answer:

4x^2 +2x +1

Step-by-step explanation:

(4x^3 -14x^2 -7x-4) / (x-4)

Using synthetic division

Bringing  down the 4  and multiplying  and adding

4      4   -14  -7  -4

       ↓   16   8   4

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

      4     2    1   0

The quotient is  4x^2 +2x +1  and the remainder is 0

Answer 2

Answer:

[tex] {4x}^{2} + 2x + 1[/tex]

Step-by-step explanation:

the most handy way to solve the question is Polynomial long division which is done below:

[tex] \begin{array}{ccc} \qquad {4x}^{2} + 2x + 1 \\ \hline x - 4 \Bigg)4 {x}^{3} - {14x}^{2} - 7x - 4 \\ - {4x}^{3} + 16 {x}^{2} \\ \hline \qquad \qquad \qquad {2x}^{2} - 7x - 4 \\ \qquad \qquad- {2x}^{2} + 8x \\ \hline \qquad \qquad \qquad \qquad \qquad x - 4 \\ \qquad \qquad \qquad \qquad \qquad - x + 4 \\ \hline\qquad \qquad \qquad \qquad \qquad0 \end{array}[/tex]

since our remainder is 0 we'll put the answer in P(x) form only

note: please see the answer in the brainly app for a better view

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Related Questions

PLEASE SOMEONE HELP ME ANSWER THIS !!!!

Write the equations of the linear and exponential functions that pass through the points (0, 15) and (1, 5)

Linear Equation, y = mx+b

Exponential Equation, y = a(b)^x

PLEASE ANSWER IT I HAVE AN IMAGE ATTACHED IF NEEDED !!!!

Answers

Step-by-step explanation:

Part A: Linear Equation.

One of the points is (0,15). This means 0,15 is the y intercept so b=15.

We can find the slope

[tex] \frac{5 - 15}{1 - 0 } = \frac{ - 10}{1} = - 10[/tex]

So our equation is

[tex]y = - 10x + 15[/tex]

Part B: Exponential Equation

We know that

[tex]15 = a \times b {}^{0} [/tex]

B to the zero power is 1 so

[tex]15 = a[/tex]

This means a =15. Now let find b.

[tex]5 = 15 \times b {}^{1} [/tex]

[tex] \frac{1}{3} = b[/tex]

So the equation is

[tex]y = 15( \frac{1}{3} ) {}^{x} [/tex]

find the missing side of the triangle.​

Answers

Answer:

x = 17

Step-by-step explanation:

x ^2 = 8^2+ 15^2

√x^2 =√64+225

x=17

Answer:

17cm.

Step-by-step explaination:

The given triangle is a right angled triangle.

Using Pythagorean Theorem,

a² + b² = c²

Putting the given values in the equation;

(15)² + (8)² = c²

225 + 64 = c²

289 = c²

17² = c² (square root of 289 = 17)

17 = c

c = 17

Therefore, the missing side of the triangle is equal to 17 cm.

Can someone help me with this question pls

Answers

Answer:

D

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = - 94 and d = a₂ - a₁ = - 112 -  (- 94) = - 112 + 94 = - 18 , then

S₁₀ = [tex]\frac{10}{2}[/tex] [ (2 × - 94) + (9 × - 18) ]

     = 5(- 188 - 162)

     = 5 × - 350

     = - 1750

Help anyone can help me do this question,I will mark brainlest.​

Answers

Answer:

[tex]344 {cm}^{2} [/tex]

Step-by-step explanation:

[tex]area \: of \: the \: square \\ = 40cm \times 40cm \\ = 1600 {cm}^{3} \\ [/tex]

[tex]area \: of \: the \: circle \\ = \pi {r}^{2} \\ = 3.14 \times {(20)}^{2} \\ = 3.14 \times 400 \\ = 1256 {cm}^{2} \\ [/tex]

[tex]area \: of \: shaded \: region \\ = 1600 {cm}^{2} - 1256 {cm}^{2} \\ = 344 {cm}^{2} \\ [/tex]

Simplify (Asap️ )
please answer this if you know
(full steps required )
(please no spam answers)​

Answers

see the attachment hope this helps you

would you Rather geometry
Walk on a line or A line segment
why?​

Answers

i would walk on a line segment, because a line segment is one place to another and not infinite.

PLS HELP ME ON THIS ANSWER I WILL MARK YOU AS BRAINLIEST IF YOU KNOW TGE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

LOL

Answer:

D. The over 30s have a larger range and interquartile range than the under 30s

Step-by-step explanation:

In a data set, the range is the difference between the maximum and minimum. So, the range for under 30s is 20, while the range for over 30s is 24. Additionally, the interquartile range is the difference between Q3 and Q1. For a boxplot, Q3 is the line where the box ends and Q1 is the line where the box begins. Therefore, the IQR for the under 30s is 8, and the IQR for over 30s is 11. So, D must be correct.

regroup and factorise:
x(x+2)+x+2​

Answers

Regrouping

⇒x (x+2) + x + 2

⇒x² + 2x + x + 2

⇒x² + 3x + 2

Now factorising

By Splitting the middle term method

⇒x² + 3x + 2

⇒x² + 2x + x + 2

⇒ x(x+2)+1(x+2)

⇒ (x+1) (x+2)

Explain the steps necessary to convert a quadratic function in standard form to vertex form.

Answers

Answer:

A quadratic function in standard form is converted to vertex form by completing the square. The first two terms are used to create a perfect square trinomial after a zero pair is added. The zero pair is found by taking half of the x-term coefficient and squaring it. The original constant term and the negative value of the zero pair are then combined.

Step-by-step explanation:

Answer:

A quadratic function in standard form is converted to vertex form by completing the square. The first two terms are used to create a perfect square trinomial after a zero pair is added. The zero pair is found by taking half of the x-term coefficient and squaring it. The original constant term and the negative value of the zero pair are then combined.

Step-by-step explanation:

Sample response

A rectangle has a perimeter of 50m, the ratio between the two side is 32 . Caculator the area of that rectangle?

Answers

Answer:

Area of rectangle = 150 cm

Step-by-step explanation:

Given the following data;

Ratio = 3:2 Perimeter = 50m

To find the area of the rectangle;

First of all, we would determine the dimensions (length and width) of the rectangle;

For length;

Length, L = 2x

For width;

Width, W = 3x

Mathematically, the perimeter of a rectangle is given by the formula;

P = 2(L + W)

50 = 2(2x + 3x)

50 = 2(5x)

50 = 10x

x = 50/10

x = 5

Length, L = 2x = 2 * 5 = 10 cm

Width, W = 3x = 3 * 5 = 15 cm

Now, we would find the area of the rectangle;

Mathematically, the area of a rectangle is given by the formula;

Area of rectangle = length * width

Area of rectangle = 10 * 15

Area of rectangle = 150 cm

Translate this phrase into an algebraic expression.
the quotient of 14 and a number

Answers

Answer:

Step-by-step explanation:

Let the number be x

14 ÷ x = [tex]\frac{14}{x}[/tex]

Answer:

14 / x

Step-by-step explanation:

quotient = /

14 = 14

a number = the variable, let's call it x

Brainliest please!

a piece of work can be done by 24 men in 15 days.in how many days can 18 men do the same work?​

Answers

18 people is 25% less people so will take 25% longer

25% of 15 is 3.75

3.75+ 15 = 18.75 days ?

The water level in a plastic pool changed
by −8 gallons each hour due to a small
hole in the bottom. After 6 hours, the pool
contained 132 gallons. How much water
was in the pool originally?

Answers

Answer: 180 gallons

Step-by-step explanation:

If you take 8 times 6 you get 48, now take 132 plus 48 and you get 180.(hope this helped):)

Find the measure of the indicated angle to the nearest degree.

Answers

Answer:

? ≈ 37°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos? = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{4}{5}[/tex] , then

? = [tex]cos^{-1}[/tex] ([tex]\frac{4}{5}[/tex] ) ≈ 37° ( to the nearest degree )

Whats different for the functions

Answers

This would cause the function to shift 4 units to the left, because it affects the x value/ the input of the function.

10^x

And with the g(x), you’ll get 10^(x+4). But if it were out of the parentheses, 10^x + 4 then it would shift upward 4 units.

I need help with this someone help me out

Answers

Answer:

answer is 10 (very easy)

Answer:

380. 1

Step-by-step explanation:

A=π r2=π. 11^2= 380.13271

Evaluate the following
expression using x = 6:
8(3x + 1)


Anyone know the answer

Answers

Answer:

152

Step-by-step explanation:

Substitute the given value for x.

[tex]8(3(6)+1)\\8(18+1)\\8(19)\\152[/tex]

Answer:

152

Step-by-step explanation:

8(3x+1)

Let x = 6

8(3*6+1)

Multiply inside the parentheses

8(18+1)

Add inside the parentheses

8(19)

Multiply

152

Find the measures of angles​ 1, 2, and 3.
Two perpendicular lines cross each other. Another line rises from left to right intersecting the perpendicular lines where they both intersect. Angles labeled 1, 2, 3 and 57 degrees are shown. Angle 1 is opposite of angle 3. Angle two is opposite to a right angle. Angle 57 degrees plus angle 1 is a right angle. Angle 3 plus the angle opposite of angle 57 degrees is a right angle.

Answers

57 degrees and 27 degrees
oh


A factory inspector found flaws in 3 out of 18 wooden boxes. What is the experimental probability that the next wooden box will be flawed?
Write your answer as a fraction or whole number.

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\frac{1}{6}[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Box Probability}}\\\\\rightarrow \frac{\text{# of boxed flawed}}{\text{# of boxes checked}} \\\\\rightarrow \frac{3}{18}\\\\\rightarrow \frac{3/3}{18/3}\\\\\rightarrow\boxed{\frac{1}{6}}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Write the name of the definition, postulate, property or theorem that justifies the statement about the diagram.

Answers

The following are the statement justifications and explanatory reasons ;

(a) AD + DB = AB; Is justified by segment addition postulate

Reason

Segment addition postulate states that let A and B represent two points,

Then a third D can be on the line joining A and B, if and only if the

relationship between the points is according to the equation, AD + DB = AB

only

(b) m∠1 + m∠2 = m∠CDB; Is justified by angle addition postulate

Reason

Angle addition postulate states that given that a point B lies between an angle m∠AOC, then we have;

m∠AOC = m∠AOB + m∠BOC

(c) ∠2 ≅ ∠6; Is justified by vertically opposite angles theorem

Reason

Vertical angles formed by the crossing of two lines are always equal

(d) If D is the midpoint of [tex]\overline{AB}[/tex], then AD = [tex]\dfrac{1}{2}[/tex]×AB; Definition of midpoint

Reason

The midpoint of a line is the point that is of equal distance from both ends of the of the line. It is the point halfway between the endpoints

(e) If [tex]\underset{DF}{\rightarrow}[/tex] bisects ∠CDB then ∠1 ≅ ∠2; Definition of angle bisector

Reason

An angle bisector is a ray or line that divides an angle into two angles that are congruent

(f) m∠ADF + m∠FDB = 180°; Linear pair postulate

Reason

The linear pair postulate states that where we have two angles that form a linear pear (their addition forms a straight line), then the two angles are supplementary  (their sum is 180°)

(g) ∠ADF and ∠4 are supplements, then m∠ADF + m∠4 = 180°; Definition of supplementary angle

Reason

Supplementary angle are defined as angles that when added together, have a sum of 180°

(h) If ∠4 is complementary to ∠5, and ∠6 is complementary to ∠5, then ∠4 ≅ ∠6; Transitive property

Reason

Transitive property states that given three real numbers, a, b, and c, if a = b and c = b, then a = c

Learn more about angle properties postulates, and theorems here;

https://brainly.com/question/14437065

Review the table of values for function f(x).

Which number is the value of f^-1(-2)?

O -8

O -7

O 1/8

O 1

Answers

Answer:

1/8

Step-by-step explanation:

f^-1 part makes it into a fraction

find the values of x and y.

Answers

Answer:

x=15.75 y=59

Step-by-step explanation:

In total there is 360 degrees. We know y is 59 so we will replace it with that.

59+59=118. 360-118=242. 242/2=121. 29+29=58. So we can subtract that to equal 63. Now 63=4x. We can divide so 2x=31.5. x=15.75.

Therefore, 15.75=x and 59=y

I hope this helped ^^.

Could you please please help me with these questions this is my last attempt and it's due today

Answers

Answer:

70.20%

Step-by-step explanation:

Since you seem to be in a rush, let's go for a concise answer.

Let's add 146 and 344 to get 490, and do 344 / 490. This gives us the decimal proportion of ice cream cones that was sold. 344 / 490 = 0.70204.

Excellent. To get the percentage, let's multiply 0.70204 by 100 to get 70.204%. Rounding this to the nearest hundredth gives us 70.20%.

Hope this helps!

Note: This question seems to be badly worded, your 42.44% is correct if it's percentage of ice cream bowls in ice cream cones. I'm assuming that it's the percentage of all ice cream. :)

Which number best represents the slope of the graphed line?

A. -5
B. -1/5
C. 1/5
D. 5

Answers

Answer:

A. -5

Step-by-step explanation:

First of all this is a line that shows a negative slope.

Secondly, the formula for slope is rise/ run.

5 is your rise and 1 is your run, therefore: -5/1

And this can be reduced to :  -5

A school bought 45 band uniforms and 18 musical instruments. If the
uniforms cost $89 each, what was the total cost of the uniforms?

Answers

Answer:

45 times 89

Step-by-step explanation:

The instuments are irrelevant and are only there to distract you.

Answer:

45 times 89 equals 4005

Step-by-step explanation:

What is the solution set of 7x 2 + 3x = 0?

{0, 3/7}
{0, -3/7}
{0, -4/7}

Answers

Answer:

the answer is b when we have two positives it makes a negitive therefore its b

Step-by-step explanation:

True or False:

4x and 4x2 are like terms

Answers

Actually its false

In algebra 4x and 4x² are two different terms and are not like terms.

Must click thanks and mark brainliest

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!

Answers

The answer is C) 2786.23
The correct answer is A

Between which two numbers does 46 lie?
A.
between 8 and 9
B.
between 6 and 7
C.
between 5 and 6
D.
between 7 and 8

Answers

Answer:

So the sqrt(46) is between 6 and 7

Step-by-step explanation:

sqrt(46)

5*5 = 25

6*6=36

7*7=49

So the sqrt(46) is between 6 and 7

Jerry sold 320 tickets for the school play. He sold x adults tickets for $8 each and y child tickets for $5 each. He sold $1900 worth of tickets. Write a system of equations to model the situation.

What is the equation?

Answers

Answer:

x + y = 320

8x + 5y = 1900

Step-by-step explanation:

The equation x + y = 320 represents how 320 tickets were sold in total, from combining the adult and child tickets sold.

Since adult tickets are $8 each, the money from adult ticket sales can be represented by 8x.

The money from child ticket sales can be represented by 5y.

The equation 8x + 5y = 1900 represents how $1900 worth of tickets were sold.

So, the system of equations for the situation is:

x + y = 320

8x + 5y = 1900

Answer:

y = 220

x = 100

Step-by-step explanation:

x + y = 320

8x + 5y = 1900

x = 320 - y

8(320 - y) + 5y = 1900

2560 - 8y + 5y = 1900

2560 -3y = 1900

-2560        -2560

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

   -3y = -660

   -----    -------

    -3        -3

      y = 220

x + 220 = 320

    -220   -220

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

        x = 100

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Consider this system of equations, where function f is quadratic and function g is linear: y = f(x) y = g(x) Which statement describes the number of possible solutions to the system? A. The system may have no, 1, 2, or infinite solutions. B. The system may have no, 1, or infinite solutions. C. The system may have 1 or 2 solutions. D. The system may have no, 1, or 2 solutions According to the theory of natural selection, why are some individuals more likely than others to survive and reproduce?1PointsA Some individuals pass on to their offspring new characteristics they have acquired during their lifetimes.B Some individuals are better adapted to exist in their environment than others are.C Some individuals do not pass on to their offspring new characteristics they have acquired during their lifetimes.D Some individuals tend to produce fewer offspring than others in the same environment. 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