(2x-7)-(4x^2+6x-3)+(x^2+4)

Answers

Answer 1

Answer:

[tex]-3x^2-4x[/tex]

Step-by-step explanation:

Simplify:

[tex]\left(2x-7\right)-\left(4x^2+6x-3\right)+\left(x^2+4\right)[/tex]

[tex]=2x-7-\left(4x^2+6x-3\right)+x^2+4[/tex]

Group same factor:

[tex]=-\left(4x^2+6x-3\right)+x^2+2x-7+4[/tex]

Add :

[tex]=-\left(4x^2+6x-3\right)+x^2+2x-3[/tex]

Apply the distributive law: -(a+b) = -a - b

[tex]-\left(4x^2+6x-3\right)=-4x^2-6x+3[/tex]

[tex]=-4x^2-6x+3+x^2+2x-3[/tex]

Group same factor:

[tex]=-4x^2+x^2-6x+2x+3-3[/tex]

Subtract:

[tex]=-4x^2+x^2-6x+2x[/tex]

Add:

[tex]=-3x^2-6x+2x[/tex]

Group same factor:

[tex]=-3x^2-4x[/tex]

Hence answer = [tex]-3x^2-4x[/tex]

~lenvy~


Related Questions

1. Are we limited to using a trigonometric function only in cases of an object that has a cyclical behavior? Is it possible to model physical, permanent, structures using the trigonometric functions?
2. Why can the movement of a yo-yo be modeled by a sinusoidal curve?

Answers

Trigonometric functions are not only used in cases of an object that has a cyclical behavior.

What is a trigonometric function?

It should be noted that trigonometric functions are real functions that relate the angle of a right angled triangle to the ratios of the two side lengths.

Trigonometric functions are not only used in cases of an object that has a cyclical behavior. It can be used to obtain unknown angles in geometric figures.

It can also be used to model the fluctuations in temperature data for a particular year.

The movement of a yo-yo can be modeled by a sinusoidal curve since it exhibits a periodic behavior.

Learn more about trigonometry on:

https://brainly.com/question/24349828

Find the lateral area of a cone.

Answers

Answer: B. 1178 cm²

What we are solving for:

   The lateral area is, put simply, the surface area of the cone not including the bottom.

    The formula is:

L = πr[tex]\sqrt{h^{2} +r^{2} }[/tex]

Height of the cone:

    This calls for the height, since it is a right triangle we can use the Pythagorean theorem to solve.

a² + b² = c²

15² + b² = 25²

225 + b² = 625

b² = 400

b = [tex]\sqrt{400}[/tex]

    The height is 20 cm

Solving:

    Back to the formula,

L = πr[tex]\sqrt{h^{2} +r^{2} }[/tex]

L = π15[tex]\sqrt{(20)^{2} +(15)^{2} }[/tex]

L ≈ 1178.1 cm²

              The lateral area of the cone is B. 1,178 cm².

Math, help, please!
Find the value of x

Answers

Answer:

x = 130

Step-by-step explanation:

A triangle always adds up to 180 de grees. If we do this we can find the value of x!!

33 + 97 + y = 180

130 + y = 180

180 - 130 = 50

Since the line x is on is a flat line and a flat line also equals 180, we will subtract the 50 from 180 to get x's value

180 - 50 = 130

Your answer is 130 :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

x = 50°

Step-by-step explanation:

if you know the measure of two angles in a triangle then the third angle measure will be 180 minus the sum of the other two

in this case the two interior angles add to 130

180-130 = 50

check:   33 + 97 + 50 should equal 180, and it does

Diego then says, “If we take half of the first number and double the second, the sum is 14.” Write an equation that represents this clue. What are Diego’s two numbers? I have the first part which is the equation, but i can’t figure out what his two numbers are. Please help! Thank you!

Answers

so the equation is
X/2 + 2Y = 14
if we isolate X the equation becomes
X= 4Y - 28
we put the value of X inside of the first equation and it becomes
(4Y - 28)/2 = 14 - 2Y
the result of this equation is
Y = 7
we then put the value of Y inside of the first equation and X=0
so the numbers are 0 and 7
which is true because if you halve 0 and double 7 their sum is 14

A real estate agent is working for a developer who claims that the average commute time to downtown is 20 minutes with a standard deviation of 7 minutes. Stephon is an independent real estate agent and wants to check the times for his client. He took a random sample of 15 commute times and found an average of 26 minutes. He did hypothesis testing using a significance level of 5%. Which conclusion could he make? The z-statistic is 0. 22, so the null hypothesis should not be rejected. The z-statistic is 1. 69, so the null hypothesis should not be rejected. The z-statistic is 3. 32, so the null hypothesis should be rejected. The z-statistic is 3. 67, so the null hypothesis should be rejected.

Answers

We conclude that z-score = 0.0005 which is less than 5%.

To calculate the z-statistic,

We must first calculate the standard error.

What is the formula for standard error?

Standard error is standard deviation divided by the square root of the population.

[tex]standard error=\frac{standard deviation }{\sqrt{population} }[/tex]

In this case, it is equal to 1.81.

The z-score is defined the distance from the sample to the population mean in units of standard error.

z = (26 – 20)/1.81 = 3.31

Therefore we conclude that  z-score = 0.0005 which is less than 5%.

To learn more about the z-score visit:

https://brainly.com/question/25638875

In an amusement park ride, a rider suspended by cables swings back and forth from a tower. The maximum speed v (in meters per second) of the rider can be approximated by v=2gh, where h is the height (in meters) at the top of each swing and g is the acceleration due to gravity (g≈9.8 m/sec^2). Determine the height at the top of the swing of a rider whose maximum speed is 15 meters per second. Round your answer to the nearest tenth.

Answers

According to the equation for the maximum speed, it is found that the height at the top of the swing of the rider is of 0.8 m.

What is the equation for the maximum speed?

As stated in the problem, it is given by:

v = 2gh.

In which:

v is the maximum speed.g is the gravity.h is the height.

In this problem, the parameters are g = 9.8, v = 15. Hence we can solve for h to find the height.

v = 2gh

2 x 9.8h = 15

19.6h = 15

h = 15/19.6

h = 0.8.

The height at the top of the swing of the rider is of 0.8 m.

More can be learned about functions at https://brainly.com/question/25537936

Solve by completing the Square
[tex]2x^{2} +3x=20[/tex]

Answers

Step-by-step explanation:

2x²+3x=20

2x²+3x=20

(√2x)²+2(√2x)(3/2√2)+(3/2√2)²-(3/2√2)²=20

(√2x+3/2√2)²=20+9/8

(√2x+3/2√2)²= 169/8

(√2x+3/2√2)= ±13/2√2

√2x=10/2√2 or -16/2√2

x= 10/4 or -16/4

x= 5/2 or -4

Find the value of x that makes line m ll n

Answers

Answer:

See below ↓

Step-by-step explanation:

14.

Between two lines m ║ n, the ∦ cuts through them forming two anglesAs it forms a line, the sum of the angles is 180°3x + 47 + x + 7 = 1804x + 54 = 1804x = 126x = 126/4 = 63/2 = 31.5

15.

Alternate exterior angles on a transversal are equal5x = 2x + 783x = 78x = 26

1. What is the algebraic expression for the following word phrase:
a. the sum of 4x and 3
b. the quotient of 5 and the sum of 9 and y
C.
the quotient of 7 and y

Answers

Answer & Step-by-step explanation:

a. 4x + 3 {sum means add the numbers together}

b. [tex]\frac{5}{9 + y}[/tex]  {quotient means divided by}

c. [tex]\frac{7}{y}[/tex]

Solve and I will mark brainliest.

Answers

The first one has a maximum of 4.
The second one has a maximum of 1.

Is (–5, 5) a solution to the equation y=x ?

Answers

Answer:

No.

Step-by-step explanation:

-5 =! 5

=
Find the area of a circle with a radius of 15 cm. (Use a = 3.14)
The area of the circle is_cm2. Round your solution to the
nearest hundredth, if applicable.

Answers

Step-by-step explanation:

Area of a circle = pi x r(squared)

= 3.14 x (15)2

= 3.14 x 225

=706.5cm2

Find the area of the trapezoid shown below. {?} square feet

Answers

Answer:

432

Step-by-step explanation:

Anthony's sink is shaped like a half-sphere, and it has a volume of 512π cubic inches. It is completely full of water, and he has two different cylindrical cups he can use to scoop it out.

The blue cup has a diameter of 4 in. and a height of 8 in., and the green cup has a diameter of 8 in. and a height of 8 in.. How many cupfuls of water will it take for him to empty his sink using each cup?

In your answer, give the number of cupfuls it will take to empty the sink using each cup, and then explain how you calculated it.

please help

Answers

Answer:

It will take 16 cups to empty the sink with the blue cup and it will take 4 cups to empty the sink with the green cup.

I got this answer by doing the formula for a cylinder

Blue cup              Green cup

(π)(2^2)(8)         (π)(4^2)(8)

= 32π                  =128π

Then i divided them both by 512 and got the answer for the number of cupfuls it will take to empty the sink  

To empty the sink 16 cups it will take for the blue one and 4 cups it will take for the green cup.

It is given that Anthony's sink is shaped like a half-sphere, and it has a volume of 512π cubic inches.

It is required to find how many cupfuls of water to empty the sink.

What is volume?

It is defined as a three-dimensional space enclosed by an object or thing.

We have:

Sink volume V = 512π cubic inches

The blue cup diameter d(b) = 4 in or radius r(b) = 2 in          

and height h(b) = 8 in    

The green cup diameter d(g) = 8 in or radius r(g) = 4 in

and height h(g) = 8 in

The cup is the shape of a cylinder we know the volume of a cylinder is given by:

[tex]V = \pi r^2 h[/tex]

Volume for the blue cup:

[tex]\rm v(b) = \pi\times 2^2 \times 8[/tex]    [ r(b) = 2 in and h(b) = 8 in]

v(b) = 32π cubic inches

Volume for the green cup:

[tex]\rm v(g) = \pi\times 4^2 \times 8[/tex]   [r(g) = 4 in and h(g) = 8 in]

v(g) = 128π cubic inches

For a number of blue cups:

[tex]=\frac{512\pi}{32\pi}[/tex] ⇒ 16

For a number of green cups:

[tex]=\frac{512\pi}{128\pi}[/tex] ⇒ 4

Thus, to empty the sink 16 cups it will take for the blue one and 4 cups it will take for the green cup.

Learn more about the volume here:

https://brainly.com/question/16788902

Write the equation of a line in slope-intercept form that is parallel to y = 2x and goes through the point (1, 9).

this is geometry

Answers

Give me more details
So I can help you

Answer:

the answer is y = 2x + 7

Step-by-step explanation:

for it to be parallel has to have the slope

The figure below consists of a square and a right triangle. Find the missing length x.

Answers

Answer:

12

Step-by-step explanation:

pythagorean theorem

A lake is 85 feet across using scale 1 inch :4 feet how many inches

Answers

Answer:

85÷4=21.25 is the anwer

Billy invested $18 of savings in two major business enterprises which paid interest at the rate of 3% and 6%, respectively. If his annual income for these two enterprises was equivalent to a return of 5% on the entire investment, find how much he invested at 3%.

Answers

Answer:

$6

Step-by-step explanation:

System of equations

x+y = 18

0.03x+0.06y = 5% of 18 = 0.9

(0.03x+0.06y=0.9)*100 = 3x+6y=90

(3x+6y=90)÷3 = x+2y=30

Substract (1)-(2)

x+2y=30 ... (1)

x+y=18 ... (2)

y=12

x+12=18

x=6

Thanks.

653005 number with commas as per the international number system

Answers

Answer:

653005 = 653,005 in the International System of Numeration, the number is (Six hundred fifty-three thousand and five)

5. Which of the following would have the same graphic representation as the function
f(x) = 27.3^x ? Select all that apply.

O f(x) = 3•3^3x
O f(x= 3^4x
O f(x) = 3^x+3
O f(x) = (3x)^3
O f(x) = 9.3^x+1

Answers

Answer:

f(x) = 3^x+3

f(x) = 9.3^x+1

Step-by-step explanation:

Hope it helps you in your learning process.

PLEASE HELP ILL MARK BRAINLIEST + WORTH 45 POINTS!!
Determine the area of the circle Use 3.14 for 16. Round to the nearest hundredth when necessary​

Answers

Answer:

~21.23

Step-by-step explanation:

First, we divide 5.2 by 2 to get the radius. And then, we do 2.6*2.6*3.14 and get 21.2264. And since you ask to round to the nearest hundredth, we get 21.23.

Hope this helps!

Give me brainliest too ;)

Answer: 21.23

Step-by-step explanation:

The formula for finding the area of  a circle is pi times  radius squared.

12. A grocery store collects donated canned
food for a food bank. The cans are packed
in boxes that hold 24 cans. The store has
collected 744 cans.
a) Draw a graph to show this situation. Put
the number of boxes on the horizontal
axis and the number of cans on the
vertical axis. 2
b) Use your graph to estimate the number
of boxes needed to hold 744 cans.
c) Write an equation that relates the
number of boxes needed to the number
of cans.
d) Solve your equation to determine the
number of boxes needed.
e) Compare your solution in part (d) with
your estimate in part (b). Do you think
)
your solution is correct? Explain.

Answers

Answer:

For the last three years, the National Post has greeted the yuletide season by publishing the video above. With a simple message of maximizing charitable giving by donating money to the food bank instead of canned goods, it is one of our most popular videos of all time, reaching virtually every corner of the English-speaking world.

Step-by-step explanation:

please answer these quickly i need this

Answers

Answer:

A

Step-by-step explanation:


Write the equation of the line that passes through the point (2, -1) and has a slope of -3.

Answers

Answer:

Y=-3x+5

Step-by-step explanation:

slope is -3/1

Slope is Rise/Run

meaning 3 down and 1 right

so in this case the down means the Y-axis

and the right means the x-axis

so lets put out some points.

(2,-1)

Then 1 right and down 3

(3, -4)

(4,-7)

and soo on, but we want to fin the point where x is zero.

Why?

Because that is where the y-Intercept is at.

Slope Intercept form is y=mx+b

Where m is the slope

And b is the y- Intercept

Soooo

Let's work backwards

Instead of Right 1 and Down 3 lets do

Left 1 and Up 3

And we will be starting with our original point

(2,-1)

then left 1, Up 3

2-1=1

-1+3=2

soo...

(1,2)

then again

(0,5)

That is our Y-intercept.

Now lets put all of it together.

Y=Mx+B

M=Slope

B=Y-Intercept

Y=-3x+5

You're welcome...

SonicIsCoool, if you need more help im at your service.

6
x
+
8
<
3
x
+
4

give your answer as an improper fraction in its simplest

Answers

6x + 8 < 3x + 4

6x - 3x < 4 - 8

3x < -4

x < - 4/3

Answer:

-4/3

Step-by-step explanation:

Factor this number sentence for me please

3−12x

Answers

Answer: 3(1-4x)

Step-by-step explanation: if you distribute the answer, you will get 3-12x.

Have a nice day!

9x+3=14give your answer as an improper fraction in its simplest form

Answers

Answer:

11/9

Step-by-step explanation:

A gas station sells motor oil in 2-liter bottles. The gas station sold 6 bottles of oil each day for 8 days.

How many liters of motor oil did the gas station sell in these 8 days?

Answers

Answer:

96 liters

Step-by-step explanation:

Two liters are in each bottle, so that means they sold 12 bottles of oil each day. Multiply that with 8 days to get the answer:

12 × 8 = 96

Ninety-six liters.


To get your car repaired at a certain dealership in Woodstock, the rate charged is $90 per hour worked on your car, plus a $50 diagnostic fee.

1) Create an equation to find the (C)harge to fix the car:

2) If your car was worked on for 4.6 hours what would be the total charge?

3) If the total cost was $800, how many hours was the car in the shop?

Answers

C- charge
H- hours
D- diagnostic fee

C= #H(90)+ D

C= 4.6(90)+50
=414+50
=$464

C-$800
H-?
D-50

C= #H(90)+50

800=H(90)+50

H(90)=800-50

H(90)=750

H(90)/90=750/90

H=750/90

H= 8.33333333

What is the volume of this cone? Use 3.14 for pi and round your answer to the
nearest tenth.
In your answer, give the volume of the cone rounded to the nearest tenth, and then
explain how you calculated it.

Answers

So I use the formula hopefully these steps work
Other Questions
A flower pot is approximately in the shape off a cylinder. The diameter is 10 inches and the height is 6 inches. Find the surface area off the flower pot round to the nearest inch Do you think mob mentality exists in Maycomb? How might it affect the upcoming trial of Tom Robinson? Match these items.1. totally committed to slavery Portage Railroad 2. large part of factory labor force in the North Industrial Revolution 3. started in England Doctrine of Nullification 4. allowed people to travel to the Northwest Democratic-Republicans 5. the father of mass production women and children 6. increased the amount of cotton produced Eli Whitney 7. same as a toll road "corduroy" 8. log roads locks 9. would provide continuous waterways South 10. carried canal boats over mountains cotton gin 11. used to raise and lower canal boats canals 12. declares a law null and void turnpike 13. supported Jackson National Road What contributions did the ancient Greeks make to literature? Devon purchased a new car valued at $16,000 that depreciated continuously at a rate of 35%. Its current value is $2,000. The equation mc025-1. Jpg represents the situation, where t is the age of the car in years and r is the rate of depreciation. About how old is Devons car? Use a calculator and round your answer to the nearest whole number. 1 year 2 years 5 years 8 years. One of the most significant issues facing the jackson administration was the ""indian problem. "" discuss the indian situation in the 1830s and jackson's response Which of the following statements is not true about practice? a. practices begin with a warm-up. b. practices concentrate only on individual skills. c. practices include small group activities. d. practices often involve scrimmages. please select the best answer from the choices provided. a b c d why was the impact of the Civil War more destructive in the South than in the North? A cylinder has a base diameter of 16cm and a height of 20cm. What is its volume in cubic cm, to the nearest tenths place? Transitional Expressions How do people adapt to their environment? - - Use the Quadratic Formula to solve the equation x2 2x = -9. Please help 10 POINTS!!! What is the value of x in the equation 2.4x = 8.4? Simplify the inequality-1 + 6(-1 -3x) > -39 - 2x. Planets A and B have the same mass, but planet A is half the size of planet B.Which statement correctly explains the weight you would experience on eachplanet?A. You would weigh the same on both planets because the massesof the planets are the same.B. You would weigh less on planet A because the distance betweenyou and the planet's center of gravity would be smaller.C. You would weigh the same on both planets because your masswould be the same on both.O D. You would weigh more on planet A because the distance betweenyou and the planet's center of gravity would be smaller. what is the difference between Genetics and environment?it's child development class help me please A company profit of $20,000 decreases by 13.4% each year. If, while examining a human karyotype, it is observed that there are 22 paired chromosomes and two chromosomes that are not the same size, this would most likely be due to. Math homework pls help!!!