Solve 7z^2 + 4z - 1) + (2z^2 - 6z + 2)

Answers

Answer 1

Answer:

9z^2+4x+1

Step-by-step explanation:

Remove parentheses.

7{x}^{2}+4x-1+2{x}^{2}+2

7x  

2

+4x−1+2x  

2

+2

2 Collect like terms.

(7{x}^{2}+2{x}^{2})+4x+(-1+2)

(7x  

2

+2x  

2

)+4x+(−1+2)

3 Simplify.

9{x}^{2}+4x+1

9x  

2

+4x+1


Related Questions

A farmer has 200 feet of fencing to use for a chicken pen. He wants the width of the pen to be 27 feet. What will the length be?​

Answers

Answer:

Length will be 173

Step-by-step explanation:

I need help immediately!!!!!!!

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Answer:

y = -2/3x - 5

Step-by-step explanation:

dont answer if u dont know please!!

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Answer:

Step-by-step explanation:

I need the answer pls Immediately!!!!!!!

Answers

Answer:

Equation: y = 5x - 2

Step-by-step explanation:

Slope = Change in y / Change in x

Change in y = +5

Change in x = +1

Slope = 5/1 or 5

Y-intercept = y-value where x = 0

x = 0, y = 3-5

y = -2

y-intercept = -2

Finally;

Equation: y = 5x - 2

Hope this helps!

Answer:

y = 5x - 2

Step-by-step explanation:

(1,3) (2,8)

y2 - y1 / x2 - x1

8 - 3 / 2 - 1

5

y = 5x + b

3 = 5(1) + b

3 = 5 + b

-2 = b

ASAP!!!!
In a class of 30 students, 17 have a brother and 14 have a sister. There are 8 students who have a brother and a sister. What is the probability that a student chosen randomly from the class does not have a brother?​

Answers

Answer:

[tex]\frac{14}{30} = 7/15[/tex]

The probability that a randomly selected student has a brother given they have a sister is 11/30.

We have given that,

Of 30 students in a class, 17 have a brother, 20 have a sister, and 11 have a brother and a sister.

What is the formula for probability?

The Probability of an event is the ratio of the number of favorable events divided by the total number of outcome in the sample space.

Since there are 30 students in total, and 11 of them have both a brother and a sister,

Then 11/30 (11 out of the 30 students) would be the probability of a student having a brother given that they have a sister.

To learn more about the probability visit:

https://brainly.com/question/24756209

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Two similar cylinders have radii of 15 inches and 6 inches. What is the ratio of the surface area of the small cylinder to the surface area of the large cylinder.

Answers

Answer:

4:25

Step-by-step explanation:

Given that,

r₁ = 15 inches, r₂ = 6 inches

The area of the cylinder is given by :

[tex]A=2\pi rh+2\pi r^2[/tex]

The ratio of surface areas of two cylinders,

[tex]\dfrac{S_2}{S_1}=\dfrac{2\pi r_2h_2+2\pi r_2^2}{2\pi r_1h_1+2\pi r_1^2}\\\\\dfrac{S_2}{S_1}=(\dfrac{r_2}{r_1})^2\\\\=\dfrac{6}{15}^2\\\\=\dfrac{4}{25}[/tex]

Hence, the required ratio is 4:25.

A prism has a length of 3 and one-half centimeters, width of 6 centimeters, and height of 7 and one-half centimeters.
Find the volume of the rectangular prism using the formula V = Bh.

The area of the base, B, equals
cm2.
The volume of the prism is
cm3????

Answers

Answer:

The area of the base, B, equals  

✔ 21

cm2.

The volume of the prism is  

✔ 157 1/2

cm3.

Step-by-step explanation:

i took the test

The volume of prism for the given condition is 147 cm³.

What is volume of prism?

A prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.

Here, Prism(Rectangle)

          Length(L) = 3.5 cm.

          Width(W) = 6 cm

         Height (H) = 7 cm

Volume = Area of Rectangle x Height

Volume of Prism: V = L x W x H

                             V = 3.5 X 6 X 7

                             V = 147 cm³

Thus, The volume of prism for the given condition is 147 cm³.

Learn more about Volume of Prism from:

https://brainly.com/question/1578538

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You have a piggy bank that contains 2 pennies, 4 nickels, 8 dimes, and 6 quarters. Find the probability of picking a coin worth more than 10 cents. .

Answers

Answer:

The probability is 3/10

Step-by-step explanation:

So a quarter is the only coin that’s worth more than 10¢ so 6/20 = 3/10

Answer pls? A b or c ??

Answers

I think b 2 I don’t know for sure

Answer:

Step-by-step explanation:

I am pretty sure the answer is b

What is the sales tax of a $15.95 video game if the tax rate is 7%​

Answers

Answer:

$17.07

Step-by-step explanation:

Step 1: Find the percent of the price

Convert 7% to fraction

[tex]= \frac{7}{100}\\\\=\frac{7}{100}\times \:15.95[/tex]

Multiply

[tex]=\frac{7\times \:15.95}{100}[/tex]

Multiply the factors

[tex]7\times \:15.95=111.65\\\\=\frac{111.65}{100}[/tex]

Divide

[tex]\frac{111.65}{100}=1.1165\\\\=1.1165[/tex]

Step 2: Add the percent off to the original price

[tex]15.95 + 1.1165\\\\= 17.0665[/tex]

Therefore, the total cost including tax in the nearest cent is 17.07 dollars

Pl help it’s for a grade I will give Brainly if right

Answers

Answer:

I am pretty sure its 1.99

Step-by-step explanation:

12/10.99= ~1.09

24/25.99=~0.80

1.09+0.80=1.99

Old Grandpa Joe left half his money to his granddaughter and half that amount to his grandson.
He left a sixth to his brother, and the remainder, £1,000, to the Dogs’ home.
How much did he leave altogether?

Answers

Answer:

£12000

Step-by-step explanation:

Granddaughter -- 1/2 of x

Grandson -- 1/2(1/2 of x)

Brother -- 1/6 of x

Dogs' home -- £1000

Therefore,

[tex]\frac{x}{2} + \frac{x}{4} + \frac{x}{6} + 1000 = x[/tex]

x = 12000

Thenks and mark me brainliest :)

What is the radius?
Find the length of the radius of the circle with an equation of
(x + 3)2 + (y-7)2 = 289.

Answers

Answer:

Radius = 17.

Step-by-step explanation:

If(h,k) is centre and rradius, the eqn. of circle is :(−x h)2+(y−k)2=r2

Comparing with the given eqn. of circle, we find, r2=289 Hence, radius  is 17

What property of real numbers does each statement demonstrate? 2(x + 6) = 2(x) + 2(6)

Answers

It is the distributive property.

Can some one help me out my grades are bad

Answers

This user has died... Try another time

Do i need to flip my sign? -3x ≥ 12

Answers

Answer:

yes because 3 is in - and it is less than 0

Answer:

Yes

Step-by-step explanation:

-3x ≥ 12

Divide both sides by -3

When multiplying or dividing by a negative the inequality must be reversed

x ≤ -4

If you are given the equation for a circle as (x+9)2+(y+7)2=289
what is the center and radius?

Answers

Center:(-9,-7)
Radius: square root of 289=17

Find BC in ABC round to the nearest 10th

Answers

Answer:

Step-by-step explanation:

take 53 degree as reference angle

using tan rule

tan 53=opposite/adjacent

1.32=BC/18

1.32*18=BC

23.76=BC

23.8=BC

in a school ,the number of boys who play cricket is 3 times as much as a number of boys who play tennis. if 12 boys, who play cricket, play tennis instead, the number of boys who play each of these sports would be the same. find the number of boys who play tennis

Answers

Answer:

The number of boys who play tennis is 36.

Step-by-step explanation:

Let the number of boys who play tennis is x.

number of boys who play cricket = y

x = 3 y..... (1)  

12 boys plays both cricket and tennis.

According to the question,

x - 12 = y + 1 2

3 y - 12 = y + 12

2 y = 24

y = 12

So, the number of boys who plays tennis is x = 3 x 12 = 36.  

A lampshade has a height of 12cm and upper and lower diameters of 10cm and 20cm A)what area of material is required to cover that curved surface of the frustum B)what is the volume of the frustum (Give both answers in terms of pie)

Answers

Answer:

[tex](a)\ Area = 195\pi[/tex]

[tex](b)\ Volume = 700\pi[/tex]

Step-by-step explanation:

Given

[tex]h = 12[/tex]

[tex]d_1 = 10[/tex] --- lower diameter

[tex]d_2 = 20[/tex] --- upper diameter

Solving (a): The curved surface area

This is calculated as:

[tex]Area = \pi l(r_1 + r_2)[/tex]

Where

[tex]r_1 = 0.5 * d_1 = 0.5 * 10 = 5[/tex] --- lower radius

[tex]r_2 = 0.5 * d_2 = 0.5 * 20 = 10[/tex] --- upper radius

And

[tex]l = \sqrt{h^2 + (r_1 - r_2)^2[/tex] ---- l represents the slant height of the frustrum

[tex]l = \sqrt{12^2 + (5 - 10)^2[/tex]

[tex]l = \sqrt{12^2 + (-5)^2[/tex]

[tex]l = \sqrt{144 + 25[/tex]

[tex]l = \sqrt{169[/tex]

[tex]l = 13[/tex]

So, we have:

[tex]Area = \pi l(r_1 + r_2)[/tex]

[tex]Area = \pi * 13(5 + 10)[/tex]

[tex]Area = \pi * 13(15)[/tex]

[tex]Area = 195\pi[/tex]

Solving (b): The volume

This is calculated as:

[tex]Volume = \frac{1}{3}\pi * h * (r_1^2 + r_2^2 + (r_1 * r_2))[/tex]

This gives:

[tex]Volume = \frac{1}{3}\pi * 12 * (5^2 + 10^2 + (5 * 10))[/tex]

[tex]Volume = \frac{1}{3}\pi * 12 * (25 + 100 + (50))[/tex]

[tex]Volume = \frac{1}{3}\pi * 12 * (175)[/tex]

[tex]Volume = \pi *4 * 175[/tex]

[tex]Volume = 700\pi[/tex]

PLEASE HELPPPP THE DROP DOWN MENUES ARE ALL THE SAME

Answers

Answer:

a) distributive property

b) combining like terms

c) commutative property of addition

Exponential functions are in the form f(x)=a(b)x−h+k. What does a negative "a" value do the graphed equation?

Moves the equation "a" spaces right
Moves the equation "a" spaces right

Moves the equation "a" spaces left
Moves the equation "a" spaces left

The "a" value can't be negative
The "a" value can't be negative

Reflects the graph over the y-axis
Reflects the graph over the y-axis

Reflects the graph over the x-axis

please answer as soon as possible for brainlist

Answers

That transformation would reflect the graph over the X axis

A bag contains 5 red marbles, 3 blue marbles and 6 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be green?

Answers

Answer:

15/91

Step-by-step explanation:

P(G,G) = 6/14 x 5/13 = 15/91

I need help rn !! Please help me and explain

Answers

Answer:

A

Step-by-step explanation:

I=PRN

=4500×(4.75/100)×3

=$641.25


[tex]7 \div 2[/tex]

Answers

The correct answer is 3.5

Answer:

3.5

Step-by-step explanation:

someone pls help me solve this
2(10) + 2(x-4)

Answers

2x+14 is the answerrrrr


Silas took 17 bags of glass to the recycling center. He still has 8 bags of plastic to take to the recycling center. Which equation could
be used to find x, the total number of bags of glass and plastic Silas will take to the recycling center?
A.x-8=-17
B.17-x=8
C. X+17=8
D. X-17=8

Answers

I think it’s C. X+17 = 8

Help??????????????????

Answers

Answer:

40

Step-by-step explanation:

52= 1/2(64 + x)

52 = 32 + 0.5x

52-32= 32-32 + .5x

20=.5x

Divide both sides by .5x

X = 40.

The table below shows the distribution of eye color and hair color for the 60 students in
a chorus.

a. how many students in the chorus have hair? show or explain how you got your answer.
b. what fraction of the students with blond hair have hazel eyes? show or explain how you got your answer.
c. what percentage of all the students have both green eyes and red hair. show or explain how you got your answer.
d. what percentage of all the students have green eyes or red hair? show or explain you got your answer

Answers

Answer:

Step-by-step explanation:

Find the distance between the two points (-2,3) (2,4)

Answers

Answer:

Not sure of the answer but may be is 2/6

Answer:

[tex] \sqrt{17} [/tex]

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