the sum of the polynomials shown below
(10x2 + 3x - 6)
(2x2 9x - 12)

Answers

Answer 1

Answer:

[tex] \longrightarrow \sf \purple{ \boxed{ \bold{ \: 12x² + 12x – 18}}}[/tex]

Step-by-step explanation:

Simplify

10x² + 3x – 6 + 2x² + 9x – 12

Steps

1Ox² + 3x- 6 - 2x² + 9x - 12

Step 1:- Group like terms:

= 10x² + 2x²+ 3x + 9x - 6 - 12

Step 2:- Subtract the numbers: – 6–12 = -18

= 10x² + 2x² + 3x + 9x – 18

Step 3:- Add similar elements: 10x² + 2x² – 12x²

= 12x² + 3x + 9x – 18

Step 4:- Add similar elements: 3x + 9x – 12x

= 12x² + 12x – 18


Related Questions

Karrie is 24 years old. She took her age, divided by -3, added -7, then multiplied by -4. Her result is 2 years older than her father's age. How old is Karrie's father?

Answers

Answer:

58 y/o

Step-by-step explanation:

Write out the English in math terms

[24/(-3) + (-7) ] * -4     -2   = Father's age =   58

The graph below represents a function.


Which single transformation could be applied to the graph so that it no longer represents a function?

A. reflection across the x-axis

B. reflection across the y-axis

C. translation 5 units to the left

D. rotation of 90° clockwise about the origin

Answers

I believe it is B. (Reflection of the y axis)

At a high school, the probability that a student is a senior is 0.25. The
probability that a student plays a sport is 0.20. The probability that a student
is a senior and plays a sport is 0.08.
What is the probability that a randomly selected student plays a sport, given
that the student is a senior?
O A. 0.08
B. 0.17
C. 0.25
O D. 0.32

Answers

Answer:

a

Step-by-step explanation:

if im right, the answer would be in the question :) its asking for the probability of a senior who plays a sport, and the third sentence is "the probability that a student is a senior and plays a sport is 0.08". sorry if im wrong!

Find the value of x.

Answers

Answer:

x=74

Step-by-step explanation:

because those two angles you can assume are equal, and all you have to do is subtract 180 by 32 and divide 148 by 2 to get the other two parts of the triangle.

plsssssssssssss helpppppppppppppppppppp

Answers

Answer:

I think that it is C

Step-by-step explanation:

mark spends 14 minutes walking to school 14 and minutes walking home each day. By the end of the school week​ (5 days), how many hours has mark spent traveling between home and​ school?

Answers

Answer:

140 minutes

Step-by-step explanation:

14 minutes+14 minutes=28 minutes, 28 minutes x 5 days= 140 minutes

140 minutes, 2 hours and 20 minutes

Jeremy drew a quadrilateral. Each angle in his quadrilateral was congruent to its opposite angle. Which of these could not be the name of Jeremy's quadrilateral?

a. parallelogram
b. rectangle
c. rhombus
d. trapezoid

Answers

Answer:

I think it is the rectangle

Step-by-step explanation:

I wish it is really helpful for u

Answer: D. Trapezoid

Step-by-step explanation:

From the question, it tells us that each angle was congruent to its opposite angle, since in a rectangle all angles are 90 degrees, rectangles won’t be correct. Parallelograms is self explanatory. Rhombuses have 2 pairs of same angles, which only leads to a trapezoid with 2 different bases, leading to different angles in it’s opposite corner.

4) Suppose that rectangle ABCD is dilated to A'B'CD' using the origin as the center and a magnitude of 2
What are the coordinates of C?
A) (8,8)
B) (-8,8)
C) (8,-8)
D) (-8,-8)

Answers

Answer: C

Step-by-step explanation: You're Welcome

It is possible that a distribution of data may not actually contain one of the measures of central tendency. Which one might that be?
Question 3 options:
Range

Mode

Mean

Median

Answers

The measure of central tendency of a distribution of data that can take multiple value is the mode

How to determine the measure of central tendency?

In a given dataset;

The range is the difference between the least and the highest data elementThe mean is the average valueThe median is the middle value

All the above measures can take only one value in a dataset

However, the mode can take multiple values, because it represents the data element with the highest frequency (and multiple data elements can have the same frequency)

Read more about measure of central tendency at:

https://brainly.com/question/17631693

We want to estimate the mean number of pages per
book in the fiction section of the large school library at a
99% confidence level. A sample of 35 fiction books is
randomly selected and the mean number of pages is
calculated to be 291.8 pages per book with a standard
deviation of 47.6 pages per book
What is the value of the standard error of the mean?
(Round your answer to 3 decimal places.)
SE sub x =

Answers

Answer:

so i am sorry but somehow my answer got deleted

Step-by-step explanation:

Answer:2.750

Step-by-step explanation:

Or D

Draw a line from the term to the definition.
Commission
An additional amount of money added to a bill of
things people buy
Tip
The amount that the original price of an item is
reduced
Sales Tax
The amount of money earned by someone
based on the actual amount sold.
Discount
A small amount of money given in return for a
cervice

Answers

Answer: $2.13

Step-by-step explanation:

How do you find the volume of a sphere? Please use steps to explain.

Answers

Write down the equation for calculating the volume of a sphere. This is the equation: V = ⁴⁄₃πr³.

Find the radius

Cube the radius

Multiply the cubed radius by 4/3.

Multiply the equation by π.

What is the difference between a translation and a rotation?

Answers

Answer:

Rotation is rotating an object about a fixed point without changing its size or shape. Translation is sliding a figure in any direction without changing its size, shape or orientation.

Step-by-step explanation:

i hope this works

=
If f(x) is an exponential function where f(-3.5) = 12 and f(6) = 44, then find
the value of f(1), to the nearest hundredth.


Please help!!!

Answers

Answer:

22.21

Step-by-step explanation:

The slope of a linear function is calculated by rearranging the equation to its general form, f(x) = mx + c; where m is the slope. The vertex of a quadratic function is calculated by rearranging the equation to its general form, f(x) = a(x – h)2 + k; where (h, k) is the vertex.

please helpppppppppp

Answers

Answer: C) (-∞,∞)

The domain of the funtion is (-∞,∞)

Angle 1 and angle 2 are supplementary. Angle 2 is 2 times the measurement of angle 1. What is the measurement of the larger angle?

Answers

Answer: The larger angle (Angle 2) is 120 degrees

Step-by-step explanation:

Let's call Angle 1 x and call Angle 2 y.

Two angles being supplementary means that they add to 180.

This means x+y=180

Angle 2 is twice the measurement of angle 1.

This means 2x=y and that we can sub 2x in for y

x+2x=180

3x=180

Now solve for x

[tex]3x=180\\\frac{3x}{3} =\frac{180}{3} \\x=60[/tex]

We know the value of x, so now let's sub in to find the value of y

[tex]2x=y\\2(60)=y\\120=y[/tex]

Question 31 of 46
What is the x-intercept of the logarithmic function below? F(x)=log0.6x

Answers

Answer:

Option D. all real numbers.

Step-by-step explanation:

The given function is a logarithmic function represented as

f(x) = log0.6x

In this logarithmic function for any value of x > 0 will be the domain and range of the function will be a set all real numbers.

As for any value of x>0 we get a real number if we rewrite a function in the form of an equation

y = log0.6x

Therefore Range will be (-∞ ∞) {y | y ∈ R}

What is the area of the circle 24m

Answers

Answer:

[tex]area = \pi {d}^{2} \\ area = \pi {24}^{2} \\ area = 1808.64[/tex]m^2

One year, the population of a city was 110,000. Several years later it was 102,300.Find the percent decrease.

Answers

Answer:

93%

Step-by-step explanation:

We must divide to solve this :)

102300/110000 = 0.93 x 100 = 93%

Have an amazing day!!

Please rate and mark brainliest!!

If m∠M=25∘ and ∠M is translated up 7 units and right 8 units to ∠M′, what is the measure of ∠M′?

Answers

Answer: 25∘

Step-by-step explanation: I have the same question and it said 25∘ is right because I don't think the angle changes when you are just moving it a few units up down left or right.

Answer:

25

Step-by-step explanation:

By what percent is 4.5x105 greater than 9x10°?
A) 200%
B) 400%
C) 500%
D) 600%

Answers

The answer is C) 500%

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND EXPLAIN WHY THAT IS THE ANSWER. Find the value of X. Then signed the measure of each labeled angle.

X=_____

Answers

The two angles sum to equal 180 degrees.


4x + 8x = 180

12x = 180

X = 180/12

X = 15

Answer:

Soln:4x°+8x°=180°

12x°=180°

or,x°=180°/12

or,x°=15

4x°=4×15°=60°

8x°=8×15°=120

2.) A baker has a bag containing
1344 chocolate chips. If she
wants to make 96 cookies, how
many chips can go in each
one?

Answers

Answer:

1344 - 96 = 1248

If you want to check your answer the add 1248 + 96 =1344

Drag each tile to the correct box. Johnny has a bag full of letter tiles. He picks one tile and then replaces it. He’s checking to see how many times he picks the letter A. Arrange the following situations, starting with the situation that gives the largest difference between relative frequency and actual probability and ending with the situation that gives the smallest difference. Johnny performs the experiment 75 times. Johnny performs the experiment 50 times. Johnny performs the experiment 20 times. Johnny performs the experiment 32 times. , , ,

Answers

Based on the number of times Johnny performs the experiment, the order from the largest difference in relative frequency and actual prob. to the smallest is:

Johnny performs the experiment 20 times. Johnny performs the experiment 32 times.Johnny performs the experiment 50 times. Johnny performs the experiment 75 times.

What increases the difference between relative frequency and absolute probability?

The difference between absolute probability and relative frequency will be larger if the number of experiments performed is smaller.

This is why the largest difference was seen when Johnny performed the experiment 20 times and the smallest difference was seen when the experiment was done 75 times.

Find out more on relative frequency at https://brainly.com/question/3857836.

2) The following table presents the probability distribution of the number of vacations X taken last year for a randomly chosen family. Compute the mean u.
x. 0. 1. 2. 3. 4
p(x) 0.13. 0.61. 0.15. 0.07. 0.04 ​

Answers

The mean of the discrete probability distribution is of 1.28.

What is the mean of a discrete distribution?

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

Then, considering the given distribution, the mean is given by:

E(X) = 0(0.13) + 1(0.61) + 2(0.15) + 3(0.07) + 4(0.04) = 1.28.

More can be learned about the mean of a discrete probability distribution at https://brainly.com/question/24855677

Please help me :) :)))))))

Answers

Answer:

ok the owner is 2..a under score 4

Step-by-step explanation:

or 5,244

A New England Journal of Medicine study (November 1986) found that a
substantial portion of acute hospital care is reported to be unnecessary. The physicians who conducted
the study reviewed the medical records of 1,132 patients hospitalized at six different locations across
the country. Overall, 60% of admissions in the sample were judged to be appropriate, 23% were
deemed inappropriate, whereas 17% could have been avoided by the use of ambulatory surgery.

Answers

Some 679 admissions were appropriate, some 260 were inappropriate, and some 193 were unnecessary.

Amount calculation

Given that a New England Journal of Medicine study found that a substantial portion of acute hospital care is reported to be unnecessary, and the physicians who conducted the study reviewed the medical records of 1,132 patients hospitalized at six different locations across the country, and overall, 60% of admissions in the sample were judged to be appropriate, 23% were deemed inappropriate, whereas 17% could have been avoided by the use of ambulatory surgery, to determine the number of patients in each group, the following calculation should be made:

1132 x 0.6 = A679.2 = A1132 x 0.23 = I260.36 = I1132 x 0.17 = U192.44 = U

Thus, some 679 admissions were appropriate, some 260 were inappropriate, and some 193 were unnecessary.

Learn more about amount calculations in https://brainly.com/question/14695611

Answer:Some 679 admissions were appropriate, some 260 were inappropriate, and some 193 were unnecessary.

Step-by-step explanation:

HURRY GIVING BRAINIEST

a shipping box is built out
of cardboard. It is 13 m
long, 7 m wide and 3 m high. How much cardboard
le needed to build the box?

Answers

Step-by-step explanation:

Length of a shipping box (L) = 13m

breadth of a shipping box (b) = 7m

height of a shipping box (h) = 3m

Now,

Volume of a shipping box (v) = L*b*h

= 13*7*3

= 273

A flour moth trap has the shape of a triangular prism that is open on both ends. An environmentally safe chemical draws the moth inside the​ prism, which is lined with an adhesive. What is the surface area of the​ prism-shaped trap?

Answers

Answer:

72 in²

Step-by-step explanation:

since the trap is open left and right, we don't include these side areas.

so, all we have for the surface area are

the top rectangle (2.5 in × 12 in),

the bottom rectangle (2 in × 12 in)

the back rectangle (1.5 in × 12 in)

for the total surface area we need to to add all 3 areas up.

in our case we get

2.5 × 12 = 30 in²

2 × 12 = 24 in²

1.5 × 12 = 18 in²

total is then

30 + 24 + 18 = 72 in²

Evan drops a ball vertically from a height of 150 ft. The peak height after each bounce is half the previous height. How many feet does the ball travel from the time he drops the ball until it reaches the peak height after the 6th bounce? Show all steps used to find the solution. ​

Answers

Answer:

442.96875 ft.

Step-by-step explanation:

Original Height (h) : 150 ft

Bounce 1 (h₁) : h/2 = 150/2 = 75 ft

Bounce 2 (h₂) : h₁/2 = 75/2 = 37.5 ft

Bounce 3 (h₃) : h₂/2 = 37.5/2 = 18.75 ft

Bounce 4 (h₄) : h₃/2 = 18.75/2 = 9.375 ft

Bounce 5 (h₅) : h₄/2 = 9.375/2 = 4.6875 ft

Bounce 6 (h₆) : h₅/2 = 4.6875/2 = 2.34375 ft

Finding the sum of bounces 1 - 5 :

75 + 37.5 + 18.75 + 9.375 + 4.6875 112.5 + 18.75 + 9.375 + 4.6875131.25 + 9.375 + 4.6875140.625 + 4.6875145.3125 ft

Distance traveled :

Original Height + 2 x Sum of Bounces (1 - 5) + Height of 6th bounce150 + 2 x 145.3125 + 2.34375150 + 290.625 + 2.34375440.625 + 2.34375442.96875 ft.

Answer:

442.96875 ft

Step-by-step explanation:

We can model the height of each bounce as a geometric series.

General form of a geometric sequence: [tex]a_n=ar^{n-1}[/tex]

(where [tex]a[/tex] is the initial term and [tex]r[/tex] is the common ratio)

If we let n be the number of bounces, then the initial term has to be:

[tex]a_1=\dfrac12(150)=75[/tex]

since this is the height of the ball after the first bounce.

The common ratio r has already been given to us, as we have been told that the height of the bounce halves after each bounce.

[tex]\implies r=\dfrac12=0.5[/tex]

Therefore, the geometric series to model the peak height of each bounce is:

[tex]a_n=75(0.5)^{n-1}[/tex]

(where [tex]a_n[/tex] is the height and n is the number of bounces)

Therefore, to calculate the total number of feet the ball travels until it reaches the peak height of the 6th bounce:

Total = 150 + (2 × sum of 1, 2, 3, 4 & 5th bounces) + 6th bounce

To find the sum, use the geometric sum formula:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

Therefore, the sum of the bounces 1 through 5 is:

[tex]\implies S_5=\dfrac{75(1-0.5^5)}{1-0.5}=145.3125[/tex]

Height of the 6th bounce:

[tex]\implies a_6=75(0.5)^{6-1}=2.34375[/tex]

[tex]\begin{aligned}\textsf{Total distance} & =150+2\left(\dfrac{75(1-0.5^5)}{1-0.5}\right)+75(0.5)^{6-1}\\ & = 150 + 2(145.3125)+2.34375\\ & = 150 + 290.625+2.34375\\ & =442.96875\: \sf ft \end{aligned}[/tex]

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