Mathematics High School

HELP PLEASE?!

Multiply: 3x4(4x4 − x5 + 2)

A.) 7x8 − 3x9 + 6x4
B.) 12x8 − 3x9 + 6x4
C.) 12x4 − x9 + 6x4
D.) 12x16 − 3x20 + 6x4

Answers

Answer 1
12 times 16 take away 3 times 20 plus 6 times 4
Answer 2

Answer:

[tex]12x^8-3x^9+6x^4[/tex]

B is the correct option.

Step-by-step explanation:

We have to multiply the expression

[tex]3x^4(4x^4-x^5+2)

Using the distributive property a(b+c)=ab+ac

[tex]3x^4\times4x^4+3x^4\times(-x^5)+3x^4\times2[/tex]

Now, using the exponent rule [tex]x^a\times x^b=x^{a+b}[/tex]

[tex]12x^{4+4}-3x^{4+5}+6x^4[/tex]

On simplifying, we get

[tex]12x^8-3x^9+6x^4[/tex]

B is the correct option.

Related Questions

Which type of cause and effect graphic organizer would be best to identify why we use gasoline in our cars today and what we might use as fuel in the future?
a. Timeline
b. Flow chart
c. Both of these
d. None of these

Answers

Answer:  The answer is (a) Timeline.

Step-by-step explanation:  We are given four options out of which one is the cause and effective graphic organiser that best identifies why we use gasoline in our cars today and what we might use as fuel in the future.

The best option is Timeline, because they show the order of events, an event's place in history and identify events which lead up to, or cause, other events.

Flowcharts does not serve the purpose, because they do not clearly identifies the cause.

Thus, the correct option is (a).

Final answer:

A flow chart would be the best graphic organizer to identify why we use gasoline in our cars today and potential future fuels, as it clearly presents causes and effects in a non-linear way.

Explanation:

The type of cause and effect graphic organizer that would be most effective in identifying why we use gasoline in our cars today and what we might use as fuel in the future is a flow chart. A timeline would be helpful in demonstrating a chronological progression of fuels, but a flow chart allows you to clearly lay out causes and effects in a non-linear way, which is more suitable for this topic as it involves multiple possibilities for future fuels. It can visually present the reasons why we use gasoline now and the different options we have for future fuels, alongside their possible effects or outcomes.

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A room in the shape of a rectangular prism measures 15 feet by xx feet by 12 feet. Write a simplified expression for the volume (in cubic feet) of the room.
Volume ==
ft3

Answers

volume is length*width*height
V=LWH
V=(15)(x)(12)
15*12 is 180
V=180x ft^3

Is my answer correct?
Write an exponential function to model this situation: a population of 420 animals decreases at an annual rate of 21%. Then predict the value of the function after 5 years (to the nearest whole number).

Answers

Here is the answer to the given problem above. 
Here is the exponential function to model this situation:
f(x) = 420(0.79)x
Now, solve with the given values.
P(t)=420×(.79)^t P(5)=420×(.79)^5=129
So the answer would be 129 animals.
Hope this answer helps. Thanks for posting your question!

Answer:

[tex]y=420\cdot (0.79)^x[/tex]

The value of the function after 5 years would be 129.

Step-by-step explanation:

We have been that a population of 420 animals decreases at an annual rate of 21%. We are asked to write an exponential function for our given problem.

We know that an exponential function is in form [tex]y=a\cdot b^x[/tex], where,

a = Initial value,

b = For decay b is in form [tex]1-r[/tex], where, r represents decay rate in decimal form.

[tex]r=21\%=\frac{21}{100}=0.21[/tex]

[tex]y=a\cdot (1-r)^x[/tex]

[tex]y=420\cdot (1-0.21)^x[/tex]

[tex]y=420\cdot (0.79)^x[/tex]

Therefore, our required function would be [tex]y=420\cdot (0.79)^x[/tex].

To find the value of the function after 5 years, we will substitute [tex]x=5[/tex] in our function.

[tex]y=420\cdot (0.79)^5[/tex]

[tex]y=420\cdot 0.3077056399[/tex]

[tex]y=129.236368758[/tex]

[tex]y\approx 129[/tex]

Therefore, the value of the function after 5 years would be 129.

Scott and Harry went cycling every day. They increased the number of minutes of cycling every week as described below:

Scott: Cycled for 10 minutes every day in the first week, 15 minutes in the second week, 20 minutes in the third week, and 25 minutes in the fourth week.

Harry: Cycled for 10 minutes every day in the first week, 20 minutes in the second week, 40 minutes in the third week, and 80 minutes in the fourth week.

Which statement best describes the methods used by Scott and Harry to increase the time they spent cycling?

A. Scott's method is linear because the number of minutes increased by an equal number every week.
B. Harry's method is linear because the number of minutes increased by an equal factor every week.
C. Both Harry's and Scott's method is exponential because the number of minutes increased by an equal factor every week.
D. Both Harry's and Scott's method is exponential because the number of minutes increased by an equal number every week.

Answers

Answer:

(A)

Step-by-step explanation:

Scott cycled for 10 minutes in first week, 15 minutes in second week,20 minutes in third week and 25 minutes in the fourth week which maintains a consistency in the line as there is consistent slope when drawn on a graph.

On, the other hand, harry cycled for 10 minutes in first week, 20 minutes in second, 40 minutes in third and 80 minutes in fourth week in which there is no consistency in the timings according to the weeks. Therefore, only, scott's method is linear as the number of minutes increased by an equal factor every week.

The sum of the interior angles, s, in an n-sided polygon can be determined using the formula s = 180(n – 2), where n is the number of sides. Benita solves this equation for n and writes the equivalent equation n = s/180 + 2.

Using this formula, how many sides does a polygon have if the sum of the interior angles is 1,260°?

_______ sides

Answers

s = 180° ( n - 2 )
The equation for n is:
 n = s / 180°  + 2
 s = 1,260°
 n = ( 1,260° : 180° ) + 2 = 7 + 2 = 9
Answer:
A polygon has 9 sides.

the answer is 9 hope it helps

Express 31% as a fraction in its lowest form

Answers

31 ------ 100 that's is what I got in the lowest form x
Final answer:

To express 31% as a fraction in its lowest form, divide 31 by 100 and simplify the resulting fraction.

Explanation:

To express 31% as a fraction in its lowest form, we need to convert the percent to a decimal first. We do this by writing 31% as a fraction with a denominator of 100 and dividing the numerator by the denominator: 31/100. To reduce the fraction to its lowest form, we find the greatest common divisor (GCD) of the numerator and denominator, which is 1. Dividing both the numerator and denominator by 1, we get the fraction 31/100 in its lowest form.

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If you divide 6! by 4! you are evaluating

P(6, 4)
P(4, 6)
P(6, 2)

Answers

Your answer would be P(6,2)

If 32% of a number is 64, what is the number?

Answers

I hope this helps you

What is the slope of a line parallel to 10x - 5y = 8?
What is the slope of a line parallel to 4x + 2y = 5?
What is the slope of a line perpendicular to x - 3y = 9?
What is the slope of a line perpendicular to x - 5y = -10?
What is the slope of a line parallel to 4x + y = -1?
A) m = -5
B) m = 2
C) m = -3
D) m = -4
E) m = -2

Answers

perpendicular linees have slopes that multiply to -1
paralell lines have slopes that are the same

also
for ax+by=c
the slope is -a/b
so



10x - 5y = 8? slope is -10/-5=2, paralell so slope of parallell line is also 2 (B)
4x + 2y = 5? slope is -4/2=-2, paralell so slope of paralell line is also -2 (E)
x - 3y = 9?  slope is -1/-3=1/3, perpendicular, so 1/3 times -3=-1 (C)
 x - 5y = -10? slope is -1/-5=1/5, perpendicular, so 1/5 times -5=-1 (A)
4x + y = -1? slope is -4/1=-4, parallel so -4 (D)




What is the slope of a line parallel to 10x - 5y = 8? B
What is the slope of a line parallel to 4x + 2y = 5? E
What is the slope of a line perpendicular to x - 3y = 9? C
What is the slope of a line perpendicular to x - 5y = -10? A
What is the slope of a line parallel to 4x + y = -1? D


-17x 15 6x - 23 = 10 - 8x

Answers

First add your x values and your numbers on the left side
-17x + 6x= -11x
15 + -23= -8
New equation is:
-11x-8= 10-8x
Since you can't have 2 x values on different sides, you have two add the least x value to the other one. -11 is smaller
10 + 3X= -8
Subtract 10 on both sides.
3x= -18
Divide by 3
X= -6

Boris bought 22 pounds of rice for $10. How many pounds of rice did he get per dollar?

Answers

Here, for $10, rice = 22
So, for $1, it would be: 22/10 = $2.2

So, your final answer is $2.2

Hope this helps!

what do real number include?

Answers

Real numbers basically Include all numbers, whether they be rational numbers, positive numbers, negative numbers, irrational numbers, whole numbers, basically all values.

Line AB is tangent to circle C, AB= 4 inches, and AD = 2 inches. Find the radius of the circle.

Answers

Let the radius of the circle be x, then by the tangent-secant theorem
4^2 = 2(x + 2)
16 = 2x + 4
2x = 16 - 4 = 12
x = 12/2 = 6

Therefore, the radius of the circle is 6 inches.

The potential energy of an object is jointly related with the mass of the object and the height of the object. A 40-kg object is 2 meters off the ground. The potential energy of the object is 784 joules. A 10-kg object is 3 meters off the ground. What is the potential energy of the 10-kg object?

Answers

the answer is c. 294 joules

Answer:

The potential energy of the 10-kg object is 294 joules .

Step-by-step explanation:

As given

The potential energy of an object is jointly related with the mass of the object and the height of the object.

Let the potential energy of an object is denoted by P.E .

Mass of the object = m

Height of the object = h

Than

[tex]P.E \propto mh[/tex]

P.E = mgh

Where g is the accleration due to gravity .

As given

A 40-kg object is 2 meters off the ground. The potential energy of the object is 784 joules.

Put the value in the P.E = mgh

784 = g × 2 × 40

784 = 80g

[tex]g = \frac{784}{80}[/tex]

g = 9.8 joules per kg meter .

As given

A 10-kg object is 3 meters off the ground.

Put the value in  P.E = mgh

P.E = 10 ×  9.8 × 3

P.E = 294 joules

Therefore the potential energy of the 10-kg object is 294 joules .




What is the range of the function f(x) = 3x2 + 6x – 9

Answers

I have a solution here however with a slight change in the equation:

 f(x)=3x^2-6x+1

My solution is:

The domain is all real numbers--there are no restrictions like a square root or variable in the denominator 

this is a U shape parabola and you want to find the bottom point, it is at the vertex 
x=-b/2a =- (-6) /2 (3) =1 
f(1) =3(1)^2 -6(1) +1 =3-6+1 =-2 
the minimum is (1, -2) 
so the range is all real numbers >= -2

By examining my solution, you could just answer the problem on your own! I hope it helps!
Final answer:

The range of a function is the set of all possible output values. For the quadratic function f(x)=3x²+6x-9, because it forms an upward opening parabola, its range will start from its vertex point and continue to infinity. The range of this function will be y ≥ -6.

Explanation:

This student is asking about the range of a given quadratic function. In the context of mathematics, the term 'range' refers to the set of all possible output values (y-values) of a function. For your function, f(x) = 3x² + 6x - 9, this is a quadratic function, so it forms a parabola when graphed. Given the positive coefficient of x², the parabola opens upwards.

Therefore, the lowest point (also known as the vertex) of the parabola will provide the minimum value of the range - since the parabola continues indefinitely upwards, there's no maximum value. For a quadratic function in the form f(x) = ax² + bx + c, you can find the x-coordinate of the vertex using the formula -b/2a.

Applying this to your function, we get x = -6 / (2*3) which simplifies to -1. You can then substitute this x-value into the function to find the minimum y value: f(-1) = 3*(-1)² + 6*(-1) - 9 = -6. Thus, the range of the function f(x) = 3x² + 6x - 9 is y ≥ -6.

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6 times the sum of 3 consecutive odd intergers is -18

Answers

The answer: The 3 (three) consecutive odd integers are: -3, -1, 1.
_____________________________________________
Explanation:
_______________
To represent 3 (three consecutive odd integers):
____________________________________
Let "x" be the first odd integer.
____________________________________
Let "(x+2)" be next consecutive odd integer.
____________________________________
Let "(x+4") be the third odd integer.
____________________________________
The sum of these three consecutive odd integers:
__________________________________________
x + (x + 2) + (x + 4) = x + x + 2 + x + 4 = 3x + 6 ;
_________________________________________
Six ("6") times the sum of these 3 (three) consecutive odd integers =
_________________
6*(3x+6) = 6(3x + 6) = -18 (as given in the problem).
_____________________________________________
Given: 6(3x + 6) = -18 ; We can divide EACH SIDE of the equation by "6", to cancel the "6" on the left-hand side into a "1"; 
__________________________________________
{6(3x + 6) } / 6 = -18 / 6 ;  to get:
________________________________________
3x + 6 = -3 ; Now, we can subtract "6" from EACH SIDE of the equation:
__________________________________
3x + 6 - 6 = -3 - 6 ; to get:
__________________________________
3x = -9 ; Now, we can divide EACH SIDE of the equation by "3"; to isolate "x" on one side of the question; and solve for "x" ;
___________________________________
3x / 3 = -9 / 3 ;  x = - 3 ;
_____________________
Remember, from above:
__________________________
Let "x" be the first odd integer.  We know that "x = -3".
         Is this an odd integer? Yes!
____________________________________
Let "(x+2)" be next consecutive odd integer.  So (x+2) = (-3+2) = -1.
        Is this an odd integer? Yes!  Is this "{-1}" the next consecutive odd integer with respect to "{-3}"? Yes!
____________________________________
Let "(x+4") be the third odd integer. So (x+4) = (-3+4) = 1.
       Is this an odd integer? Yes!  Is this "{1"} the next consecutive odd integer with respect to "{-1}"? Yes!
___________________________
So, our 3 (three) consecutive odd integers are: -3, -1, 1.
___________________________
To check our work: Is 6 times the sum of our 3 consecutive odd integers, equal to "(-18)" ?

The sum of our 3 consecutive odd integers = -3 + (-1) + 1 = -3 - 1 + 1 = -3.

6 * -3 = ? -18? Yes!
___________________________





Taxi ride cost $1 plus 80c more for each quarter mile travel. What was the total cost for 2-mile trip

Answers

The answer is $14.4
1.80×4

Is the fraction 1/15 a terminating or repeating decimal?

Answers

The fraction 1/15 is a repeating decimal because, when converted, it results in the repeating pattern 0.0666..., where the digit 6 repeats indefinitely.

When the fraction 1/15 is converted to a decimal, it results in the repeating decimal 0.0666..., where the digit 6 repeats indefinitely.

This happens because 1 divided by 15 gives a quotient of 0.0666..., and the 6 in the decimal representation repeats infinitely.

In other words, the division process doesn't terminate or end, and the same pattern of digits repeats endlessly after the decimal point.

This repeating pattern signifies that the fraction 1/15 cannot be expressed as a finite decimal and will always have repeating digits when written in decimal form.

Therefore, 1/15 is classified as a repeating decimal rather than a terminating one.

Gretchen and Ezia received equal scores on a test made up of multiple choice questions and an essay. Gretchen got 18 multiple choice questions correct and received 19 points for her essay. Ezia got 15 multiple choice questions correct and received 31 points for her essay.

How many points was each multiple choice question worth?

Answers

My solution here is as follows:

The scores were the same, so 

18m+19 = 15m+31 

Now solve for m, the # points for each multiple-choice question.

I hope my answer has come to your help. Have a nice day ahead and may God bless you always!

Answer:

Each question had 4 points.

Step-by-step explanation:

Let the questions be x points each. As both Gretchen and Ezia received equal scores, we can write the equation as:

18x+19=15x+31   (Let the questions be x points each)

Solving for x;

[tex]18x-15x=31-19[/tex]

=> [tex]3x=12[/tex]

Dividing both sides by 3;

x = 4

Hence, each question had 4 points.

tan inverse cos x/1-sin x
write in simplest form? ...?

Answers

tan [arccos(x) ] / [1 - sin(x) ]

1) First work the numerator, which is the confussing part

x = cos(y) =>  arccos(x) = y

tan [arccos(x) ] = tan (y) = sin (y) / cos (y)

using the fundamental identity

[cos(y)] ^2 + [sin(y)}^2 = 1 => sin (y) = √(1 - [cos(y)]^2 ) = √(1 - x^2)

=> tan (y) = sin(y) / cos(y) = √(1-x^2) / x  ... this is the numerator

2) write the complete fraction using the numerator just found

[√(1 - x^2) / x] / (1 - sin(x) ) = √(1 - x^2) / [x (1 - sin(x) ]

Answer: √(1 - x^2) / [x (1 - sin(x) ]

A punch recipe calls for cups of orange juice, cup of pineapple juice, and cups of mango juice. How many total cups of fruit juice does the recipe make?

Answers

You need to provide the number of cups for each type of juice. Unless they didn't provide it? Is the question above the exact question?

Answer:I can't answer it without measurements. Sorry

Step-by-step explanation:

Find each unit cost
$12 for 4 square yards
$3.45 for 3.7 oz
$9 for 5 L

Answers

$3 for 1 square yard
$0.93 for 1 oz
$1.8 for 1 L

Ruby bought 15 cell phone cases for a total of $145.80. she sells them for $19.50 each, but she is only able to sell 5 of them. what is ruby's net profit or loss?

Answers

Given that Ruby bought 15 cell phone cases for a total of $145.80. This means that each cell phone case costs $9.72 each. She sells each for $19.50, but only 5 out of the 15. So the total earnings she has is $97.50. Therefore, we can say that Ruby did not earn a profit but is experiencing a loss of $48.30. Hope this answers your question.

Which undefined term is used to define a ray?

Answers

pretend this is a way <--------------------O what do u see Point and line right thats ur answer hope this helps :D

Answer:

Line

Step-by-step explanation:

Translate the phrase into a math expression. twenty divided by the sum of 4 and 1.

Answers

20 / (4 +1 )

hope this helps you

Lian and her younger sister Ella are 4 years apart. The sum of their ages is 20. Let l be Lian’s age in years and let e be Ella’s age in years. The system of linear equations that models the scenario is: l – 4 = e l + e = 20 How old is each sister?

Answers

L - 4 = E
L = E + 4
remplace
E + 4 + E = 20
2e =16
e = 16/2
Ella is 8 years old. and given that is 4 years younger. then Lian is 12

Answer:

Lian is 12 years old and Ella is 8 years old.

Step-by-step explanation:

Lian and her younger sister Ella are 4 years apart.

The sum of their ages is 20.

Let L be Lian’s age in years.

Let E be Ella’s age in years.

The system of linear equations that models the scenario is:

[tex]L-4=E[/tex] this gives [tex]L=E+4[/tex]

[tex]L+E=20[/tex]

Putting L=E+4 in the second equation

[tex]E+4+E=20[/tex]

[tex]2E=20-4[/tex]

[tex]2E=16[/tex]

So, [tex]E=8[/tex]

Now we have , L+E=20

[tex]L+8=20[/tex]

So, [tex]L=12[/tex]

Therefore, Lian is 12 years old and Ella is 8 years old.

Find the first four terms of the infinite sequence defined explicitly by the following rule.

f(n)= 4n - 2

Answers

The only thing that you should do is to put 1, 2, 3, and 4 instead of the n and then you will get the first four terms! 

f(1) = 4(1) - 2 = 2 
f(2) = 4(2) - 2 = 6
f(3) = 4(3) - 2 = 10 
f(4) = 4(4) - 2 =  14 

Have a great day! 

The Tools Plus Company is planning to produce drills. The company has rented space for its manufacturing operation at $5,000 per month. Each drill requires $61 worth of materials and $36 worth of labor.

Find the total cost if Tools Plus Company makes 460 drills. ...?

Answers

(61+36)460+5000M=  49620
(M equals operation cost per month)

Answer:

Step-by-step explanation:

69d+5,000

factorise tis please.
[tex] (x+3)^{2} +2(x+3)[/tex]

Answers

[tex]\displaystyle \boxed{(a+b)=a^2+2ab+b^2} \\ \\ (x+3)^2+2(x+3)= \\ x^2+2 \cdot x \cdot 3 +3^2+2x+6 = \\ x^2+6x+9+2x+6= \\ x^2+8x+15= \\ \\ \Delta= b^2-4ac \\ \Delta=8^2-4 \cdot1 \cdot15 \\ \Delta=64-60=4 \\ \\ \\ X_{1,2}= \frac{-b\pm \sqrt{\Delta} }{2a} = \frac{-8\pm2}{2} = \\ \\X1=5 \\ X2=3[/tex]

Rewrite the following without an exponent ₋7⁻¹.

Answers

The solution to the answer is as follows:

-7^-1 = -1/7

The expression without an exponent would be simplified to be -1/7.


I hope my answers has come to your help. Thank you for posting your questions here in Brainly. We hope to answer more of your inquiries son. God bless and have a nice day ahead!
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Texas became a U.S. territory Florida became a U.S. territory Texas became a Spanish territory Florida became a Spanish territory a shopper purchased 8 t-shirts and 5 pair of pants for $220. the next day, he purchased 5 t-shirts and a pair of pants for $112. how much does each t shirt and pair of pants cost Derive the equation of the parabola with a focus at (5, 5) and a directrix of y = 7 "Ni kan," my mother said, calling me over with hurried hand gestures. "Look here." I could see why my mother was fascinated by the music. It was being pounded out by a little Chinese girl, about nine years old, with a Peter Pan haircut. The girl had the sauciness of a Shirley Temple. She was proudly modest like a proper Chinese child. And she also did this fancy sweep of a curtsy, so that the fluffy skirt of her white dress cascaded slowly to the floor like petals of a large carnation. In spite of these warning signs, I wasn't worried. Our family had no piano and we couldn't afford to buy one, let alone reams of sheet music and piano lessons. So I could be generous in my comments when my mother bad-mouthed the little girl on TV. "Play note right, but doesn't sound good! No singing sound," complained my mother. "What are you picking on her for?" I said carelessly. "She's pretty good. Maybe she's not the best, but she's trying hard." I knew almost immediately I would be sorry I said that. "Just like you," she said. "Not the best. Because you not trying." She gave a little huff as she let go of the sound dial and sat down on the sofa. What does the dialogue between the characters reveal about Suyuan's character? She'd rather have the little girl on TV as a daughter than Jing-mei. She is disappointed that Jing-mei has low expectations. She's going to buy a piano for Jing-mei. I am both a quick worker and careful. Janelle practices basketball every afternoon in her driveway. Each day, her goal is to make 4 more baskets than she made the day before. If she makes 10 basket the first day and meets her goal for 2 weeks, how many baskets will Janelle makes on the 14th day How much longer is 3 meters than 3 yards? The term ________ is used to describe an inland climate that is remote from the moderating influences of large water bodies. a.maritime b.tundra c.continentality d.taiga e.longitudinality Suppose a parabola has an axis of symmetry at x=-1 a maximum height of 6 and passes through point -2,1. Write the equation of the parabola in vertex form The dimensions of a closed rectangular box are measured as 50 centimeters, 90 centimeters, and 80 centimeters, respectively, with the error in each measurement at most .2 centimeters. Use differentials to estimate the maximum error in calculating the surface area of the box.