Use the grouping method to factor this polynomial completely.
2x3 + 6x2 + 5x + 15.

Answers

Answer 1

Answer:

(x+3)(2x^2+5)

Step-by-step explanation:

Answer 2

Answer:

2x³ + 6x² + 5x + 15=(x+3)(2x²+5)

Step-by-step explanation:

2x³ + 6x² + 5x + 15=

=(2x³ + 5x) +(6x²+ 15)

=x(2x²+5)+3(2x²+5)

=(x+3)(2x²+5)


Related Questions

One more than the quotient of a number x and 4.

Answers

It’s gives x+5 I think I’m not sure

Answer:

Just write whatever it says so quotient means divide, more means add, and product means multiply

x/4+1

Make your the equation is in order by checking the words after, than, next to see if the equation is in order

Hope this helps

If you have any questions you can ask

Step-by-step explanation:

PLS HELP HURRY ASP HURRY BEST GETS BRAINLESST!​

Answers

Answer:

25 mm < 3 cm

Step-by-step explanation:

Change cm to mm

1 cm = 10 mm

3 cm = 3*10 = 30 mm

25 mm < 30 mm

What is the equation of the parabola that has its vertex at (7,6) and contains the point (6,8)?

Answers

Answer:

[tex]y = 2 (x-7)^{2} +6[/tex] is the equation of parabola.

Step-by-step explanation:

Vertex form of a parabola is given as :

[tex]y = a (x-h)^{2} +k ...... (1)[/tex]

(h,k) is the co-ordinate of vertex of parabola.

(x,y) are the points on parabola.

We are given that vertex is at (7,6) and a point on parabola is (6,8).

h = 7

k = 6

x = 6 and

y =8

Putting all the values in equation (1):

[tex]8 = a (6-7)^{2} +6\\\Rightarrow 8 = a + 6\\\Rightarrow a = 2[/tex]

Putting values of (h,k) and a in equation (1) to obtain the equation of parabola:

[tex]y = 2 (x-7)^{2} +6[/tex] is the equation of parabola with vertex at (7,6) and contains the point (6,8).

Answer:

Step-by-step explanation:

y = 2x2 – 28x + 52

wrong its not that

Please answer CORRECTLY !!!!! WILL MARK BRAINLIEST

Answers

Answer:

g(x)=0.8x+1.6

Step-by-step explanation:

To do this, you need to isolate the variable y, so that when you input x it will immediately return the value of y.

[tex]-4x-6=-5y+2[/tex]

Subtract 2 from both sides:

[tex]-4x-8=-5y[/tex]

Divide both sides by -5:

[tex]y=0.8x+1.6\\\\g(x)=0.8x+1.6[/tex]

Hope this helps!

Answer:

g (x) = 4/5x + 8/5

Step-by-step explanation:

-4x - 6 = -5y + 2

5y = 4x + 8

y = 4/5x + 8/5

Use the laws of exponents to express 9-3/2 · 82/3 as a simple fraction. Show the steps in the simplification

Answers

Answer:

4/27

Step-by-step explanation:

The laws of exponent are used for the simplification of expressions with exponential powers. Considering the given expression, the applicable laws of exponents are

a^-x = (1/a)^x

and

a^(x/b) = b√a^x

Hence

9-3/2 · 82/3

= (1/9)^3/2 . 8^2/3

= √(1/9)³ . ∛8²

= (1/3)³ . 2²

= 1/27 . 4

= 4/27

If EH = 95 and GE = 25, then m

Answers

Answer:

∠ D = 35°

Step-by-step explanation:

∠ D is formed by a tangent and a secant and is one half the difference of the measure of the intercepted arcs, that is

∠ D = 0.5( arc EH - arc GE )

      = 0.5(95 - 25)° = 0.5 × 70° = 35°


A box without a top is to be made from a rectangular piece of cardboard, with dimensions 9 in. by 10 in., by cutting out square corners with side length x and folding up the sides.
What is the optimal volume of the box, and what is the optimal cut?

Answers

Answer:

The optimal volume is 63.1142 in3, with a cut of 1.5767 inches

Step-by-step explanation:

If we make a cut of x inches to create the box, the dimensions of the box will be:

Length = 10 - 2x

Width = 9 - 2x

Height = x

So the volume of the box would be:

Volume = (10 - 2x) * (9 - 2x) * x

Volume = 4x3 - 38x2 + 90x

To find the maximum volume, we need to take the derivative of the volume and find the values of x where it is equal to zero:

dV/dx = 12x2 - 76x + 90 = 0

6x2 - 38x + 45 = 0

Using Bhaskara's formula, we have:

Delta = 38^2 - 4*6*45 = 364

sqrt(Delta) = 19.08

x1 = (38 + 19.08) / 12 = 4.7567

x2 = (38 - 19.08) / 12 = 1.5767

Testing these values in the volume equation, we have:

Volume1 = 4*(4.7567)^3 - 38*(4.7567)^2 + 90*(4.7567) = -1.1883

(Negative value for the volume is not valid)

Volume1 = 4*(1.5767)^3 - 38*(1.5767)^2 + 90*(1.5767) = 63.1142

So the optimal volume is 63.1142 in3, with a cut of 1.5767 inches

Is the distance from Boston, Massachusetts, to Phoenix, Arizona,about 4,000 centimeters or 4,000 kilometers? Explain.

Answers

Answer:

it's most likely 4,000 kilometers because centimeters are a very small rate of measurement and the distance between the 2 landmarks are very far away

'Do you need to break apart a solid figure in a certain way to find its volume? Use the problem above to explain your reasoning.'

Answers

Yes am pretty sure you have to break the figure apart especially if it has multiple shapes in it

Answer:

You do in some situations have to break apart a solid figure in a certain way to find it's volume. Everything is made up out of some type of shape. You just have to find the right formula. Some solid figures you might have a cube and a pyramid. Each one of those has it's specail way of finding volume.

Step-by-step explanation:

Which is a graph for the inequality m<(or equal to)-2?

Answers

Answer:

cool

Step-by-step explanation:

4x-3=2x+7

plz help on this question

Answers

Answer:

4x-3=2x+7

4x-2x=7+3

2x=10

10/2x=5

therefore x=5

....hope this helps

[tex]4x-3=2x+7\\4x-2x=7+3\\2x=10\\x=5[/tex]

hurrryy will give brainliest!!

Answers

Answer:

The first option

Step-by-step explanation:

A square pyramid is placed inside a cube having a volume of 729 in3. The pyramid has the same height as the cube and the base of the pyramid is one face of the cube. Which is the ratio of the volume of the pyramid to the volume of the cube?
a 1/9
b 1/2
c 1/3
d 2/3

Answers

I really don’t know but I hope you find the correct answer

Answer:

1/3

Step-by-step explanation:

pyramid height = cube height , a = h (GIVEN)

[tex]so, v= \frac{1}{3} * a^{2} * h = \frac{1}{3} * a^{3}\\a = \sqrt[3]{3v} = \sqrt[3]{3*729} = 13 in\\\\cube volume = a^{3} = 13^{3} = 2187 in^{3} \\\\ratio = \frac{729}{2187}= \frac{1}{3} (ANS)[/tex]

Which could be the entire interval over which the function,
f(x), is positive?
(-♾, 1)
(-2, 1)
(-♾,0)
(1, 4)

Answers

Answer:

(-2,1)

Step-by-step explanation:

The bracket is an opened interval

zero is neutral either positive or Negative

so the range of values in (-2,1) is -1,0 with corresponding values 2 each

hence, they're positive

Answer:

B -2,1

Step-by-step explanation:

Please help me, will mark brainliest for correct answers.....
Answer questions 1-8
Please and ASAP....

Worth a lot of points

Answers

Answer:

1. B) 5.7

2. A) 12

3. A) 11.4

4. A) 5.7

5. A) 16.2

6. A) 11.2

7. No, they do not form a right triangle

8. Yes, they do form a right triangle

Step-by-step explanation:

Extra tip: The hypotenuse has to be less than both sides added together, but cannot be more than either of the sides alone.

1.

16² + b² = 17²

256 + b² = 289

256 - 256 + b² = 289 - 256

b² = 33

√b² = √33

b = 5.74 or 5.7

2.

16² + b² = 20²

256 + b² = 400

256 - 256 + b² = 400 - 256

b² = 144

√b² = √144

b = 12

3.

7² + 9² = c²

49 + 81 = c²

130 = c²

√130 = √c²

11.40 or 11.4 = c

4.

7² + b² = 9²

49 + b² = 81

49 - 49 + b² = 81 - 49

b² = 32

√b² = √32

b = 5.65 or 5.7

5.

a² + 5² = 17²

a² + 25 = 289

a² + 25 - 25 = 289 - 25

a² = 264

√a² = √264

a = 16.24 or 16.2

6.

10² + b² = 15²

100 + b² = 225

100 - 100 + b² = 225 - 100

b² = 125

√b² = √125

b = 11.18 or 11.2

7.

15² + 8² = 16²

225 + 64 = 256

289 ≠ 256

8.

5² + 12² = 13²

25 + 144 = 169

169 = 169

Brainliest if help! A paint company wants to change the height of its cans of paint to 15 centimeters tall so when the cans sit on a shelf in a store they are more visible to customers. If the volume of the can must remain at 3818 cubic​ centimeters, what will be the radius of the​ can?

Answers

Answer:

I think it is 9.00113750385

Step-by-step explanation:

Answer:

9 cm

Step-by-step explanation:

The area of a cylinder is V = πr² * h, where V is the volume, r is the radius of the base and h is the height. We want to solve for r. We know the value of V and h, so let's plug those in. We get 3818 = πr² * 15, and when we divide by 15, we get 254.53 = πr². We can approximate 3.14 for π, and when we do so, we get 254.53 = 3.14r². Dividing by 3.14 gets us 81.02 = r², and when we take the square root of the equation, we get r≈9 cm. Hope this helps!

Each side of this figure is the same length.
How many lines of symmetry does this figure have?

Answers

Answer:

it has 3

Step-by-step explanation:

Answer: 5 is the answer

If the diameter of a semi circle is 8 inches what is a semi circles radius

Answers

Answer:

r = 4 inches

Step-by-step explanation:

The radius of a circle is 1/2 of the diameter

r = 1/2d

r = 8/2 = 4

You have been asked to set up chairs for the school concert.
The first row will have 10 seats, and each additional row has 4
seats more than the previous row. /(10 pts)
What is the total number of chairs needed to set up 25 rows?

Answers

Step-by-step explanation:

middle section= 390

sides=270

total=930 chairs

what is the area of a square figure that has a length of 5 cm?

Answers

Answer:

its 5x5x5

Step-by-step explanation:

125

Answer:

25

Step-by-step explanation: you have to multiply 5 by 5 because a square has equal sides And the you’ll get 25 hope this helps

2 Points
Which term best describes the statement given below?
If p = q and q = r, then p = r.

Answers

Answer: if this is multiple choice It’s

B. A syllogism

Step-by-step explanation:

If f(x) = 3x-2 and g(x)= x +1, find (f +g)(x).

Answers

Losers Club units again my pal

Step-by-step explanation:

sosos

solve with explanation -4x+5> - 5

Answers

Answer:

[tex]x < 2.5[/tex]

Step-by-step explanation:

[tex] - 4x + 5 > - 5 \\ - 4x > - 5 - 5 \\ - 4x > - 10 \\ \frac{ - 4x}{ - 4} > \frac{ - 10}{ - 4} \\ x < \frac{5}{2} \\ x < 2.5[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

HELP FIND THE SLOPE OFTHIS GRAPH

Answers

Answer:

-1.25

Step-by-step explanation:

Your points one the graph are (-4,4) and (0,-1)

Formula for slope is y1-y2/x1-x2

4--1/-4-0

5/-4

-1.25

If the radius of a circle is 16 units, what is its circumference? (Use pie for it)

Answers

Answer: 100.53

Step-by-step explanation:

Circumference = 2 x pi x r

= 2 x 22/7 x 16

C=2πr=2·π·16≈100.53096
C= 100.53

neptune ran 0.06 mile in the morning and 0.45 mile in the afternoon. Did she ran more in the afternoon or morning?​

Answers

Answer:

She ran more in the afternoon

Step-by-step explanation:

0.06 is less than 0.45

Answer:

Afternoon

Step-by-step explanation:

0.45 miles is greater than 0.06 miles so Neptune ran more in the afternoon

(PLEASE HELP DUE NOW! I DON'T UNDERSTAND!)
Just answer no need to show work! DON'T ANSWER IF YOU DON'T KNOW!

21, 23, 26, 26, 28, 29, 34, 34, 40
BOX AND WHISKER PLOT
Q1:
Q3:

Answers

Answer:

q 1 is 24.5 and q3 is 34  

Step-by-step explanation:

bye my luvvv

Question 1: 24.5
Question 3: 31

Which describes the correlation shown in the scatterplot?

Answers

Its a for connexus academy grade 8 test

Step-by-step explanation:

It just is

help me with this thanks​

Answers

Answer:

Volume of composite is 483  [tex]mm^3[/tex]

Step-by-step explanation:

We need to add the volume of a rectangular prism (7 mm x 12 mm x 3 mm) to a semi-cylinder (of radius 3.5 mm and height 12 mm):

Volume of the prism = 7 x 12 x 3 [tex]mm^3[/tex]  = 252 [tex]mm^3[/tex]

Volume of the semi-cylinder =  [tex]\frac{\pi\,\,R^2\,\,H}{2} = \frac{\pi\,\,(3.5)^2\,\,(12)}{2} =230.907 \,\,mm^3[/tex]

Therefore the sum of both volumes gives:

(252 + 230.907) [tex]mm^3[/tex] = 482.907  [tex]mm^3[/tex]

WHich can be rounded to the nearest whole number as: 483 [tex]mm^3[/tex]

We could also represent this function with an equation, A = #r2. We say that the input of
the function, r, is the independent variable and the output of the function, A, is the
dependent variable. We can choose any value for r, and then the value of A depends on
the value of r. We could also represent this function with a table or as a graph. Depending
on the question we investigate, different representations have different advantages. You
may recognize this rule and know that the area of a circle depends on its radius.
Here is a task to try with your student:
Jada can buy peanuts for $0.20 per ounce and raisins for $0.25 per ounce. She has $12 to
spend on peanuts and raisins to make trail mix for her hiking group.
1. How much would 10 ounces of peanuts and 16 ounces of raisins cost? How much
money would Jada have left? 6
2. Using p for pounds of peanuts and r for pounds of raisins, an equation relating how
much of each they buy for a total of $12 is 0.2p+ 0.25r = 12. If Jada wants 20 ounces
of raisins, how many ounces of peanuts cán she afford? 7​

Answers

Answer:

Step-by-step explanation:

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