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Which expression is equivalent to
(2g^3+4)^3
?
4g^6+16
4g^6 + 16g^3 +16
4g^6 + 8
4g^9 + 16g^3+8

Answers

Answer 1

Answer: answer is c pls mark me brain

Step-by-step explanation:

Answer 2

The expression 4g⁶+16+16g³ is equivalent to expression  (2g³+4)²

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is (2g³+4)²

We have to find the equivalent expression of the given expression

Equivalent expressions are expressions that work the same even though they look different

We know that (a+b)²=a²+b²=2ab

(2g³+4)² = (2g³)² + 4² +2.2g³.4

=4g⁶+16+16g³

Hence, the expression 4g⁶+16+16g³ is equivalent to expression  (2g³+4)²

To learn more on Expressions click:

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Related Questions

What is the solution to the inequality below x2 > 64

Answers

answer:-8<x<8 step by step: (x^2) <64  => (x^2) -64 < 64-64 => (x^2) - 64 < 0 64= 8^2    so    (x^2) - (8^2) < 0 To solve the inequality we first find the roots (values of x that make (x^2) - (8^2) = 0 ) Note that if we can express (x^2) - (y^2) as (x-y)* (x+y)  You can work backwards and verify this is true. so let's set (x^2) - (8^2)  equal to zero to find the roots: (x^2) - (8^2) = 0   => (x-8)*(x+8) = 0       if x-8 = 0 => x=8      and if x+8 = 0 => x=-8 So x= +/-8 are the roots of x^2) - (8^2)Now you need to pick any x values less than -8 (the smaller root) , one x value between -8 and +8 (the two roots), and one x value greater than 8 (the greater root) and see if the sign is positive or negative. 1) Let's pick -10 (which is smaller than -8). If x=-10, then (x^2) - (8^2) = 100-64 = 36>0  so it is positive2) Let's pick 0 (which is greater than -8, larger than 8). If x=0, then (x^2) - (8^2) = 0-64 = -64 <0  so it is negative3) Let's pick +10 (which is greater than 10). If x=-10, then (x^2) - (8^2) = 100-64 = 36>0  so it is positive Since we are interested in (x^2) - 64 < 0, then x should be between -8 and positive 8. So  -8<x<8

Answer:

Step-by-step explanation:

x2

help with the question below please!!

Answers

Answer:

a.= 24 b.=-21 c. is x=-7 or 3

Step-by-step explanation:

Step-by-step explanation:

a) f(5)= 5² + 4 x 5 -21

=24

b) f(0)= 0² + 4 x 0 -21

= -21

c) f(x)= 0

=> x² + 4x -21 =0

=> x = 3, x= -7

State the mathematical properties of all the steps in the equation below.

(2x + 3) − 7 = 8 + x Problem Statement.
(2x + 3) + (−7) = 8 + x _____________
((2x + 3) + (−7)) + 7 = (8 + x) + 7_____________
(2x + 3) + (−7 + 7) = (8 + x) +7 _____________
(2x + 3) + 0 = (8 + x) + 7 _____________
2x + 3 = (8 + x) + 7 _____________
2x + 3 = 7 + (8 + x) _____________
2x + 3 = (7 + 8) + x _____________
2x + 3 = 15 + x _____________
(2x + 3) + (−3) = (15 + x) + (−3) _____________
2x + (3 + (−3)) = (15 + x) + (−3) _____________
2x + 0 = (15 + x) + (−3) _____________
2x = (15 + x) + (−3) _____________
2x = (−3) + (15 + x) _____________
2x = (−3 + 15) + x _____________
2x = 12 + x _____________
2x + (−x) = 12 + x + (−x) _____________
2x + (−x) = 12 + 1 · x + (−x) _____________
2x + (−x) = 12 + 1 · x + (−1) · x _____________
2x + (−x) = 12 + (1 + (−1))x _____________
2x + (−x) = 12 + 0 · x _____________
2x + (−x) = 12 + 0 _____________
2x + (−x) = 12 _____________
2x + (−1) · x = 12 _____________
(2 + (−1)) · x = 12 _____________
1 · x = 12 _____________
x = 12 Solution

Answers

Answer:

173*3*j3

Step-by-step explanation:

naksbvajahagcgaja

Answer:

HIHHIHIHIHIHIHIHIH

Step-by-step explanation:

IHIHIHIHIHIHIHIHIH

Melanie recorded a number with two sevens. The value of the first 7 is 7,000. The value of the second 7 is 700. Which could be Melanie's number?

Answers

Answer:

7700.

im not sure if the 00 are to be other numbers but 7700 should be your number

Find the value of x.​

Answers

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

The two given triangles, triangle (BDE) and triangle (BAC) share the angle (<B) in common. Moreover, their bases, line (DE), and line (AC) are parallel, this means that through the corresponding angles postulate, angles (<BDE) and (<BAC) are congrunet. Moreover, angles (<BED) and (<BCA) are also congruent. Thus, triangles (BDE) and (BAC) are similar through angle-angle similarity.

The ratio between the corresponding sides of similar triangles is the same. Therefore, one can form the following equation,

[tex]\frac{BD}{BA}=\frac{BE}{BC}[/tex].

Substitute,

[tex]\frac{BD}{BD+DA}=\frac{BE}{BE+EC}\\\\\frac{x+2}{x+x+2}=\frac{3}{3+2}[/tex]

Simplify,

[tex]\frac{x+2}{2x+2}=\frac{3}{5}[/tex]

Cross products,

[tex]5(x+2)=3(2x+2)\\[/tex]

Simplify, distribute, multiply every term inside the parenthesis by the term outside of it,

[tex]5x+10=6x+6[/tex]

Inverse operations,

[tex]5x+10=6x+6\\\\10=x+6\\\\4=x[/tex]

A 12-foot ladder is leaning against a wall. The distance from the base of the wall to the base of the ladder is 6 StartRoot 2 EndRoot feet. Given this information, what can be determined about the triangle formed by the ground, wall, and ladder? Check all that apply.

Answers

Answer:

a

b

d

e

Step-by-step explanation:

he triangle is isosceles.

The leg-to-hypotenuse ratio is 1:StartRoot 2 EndRoot.

The leg-to-hypotenuse ratio is 1:StartFraction StartRoot 2 EndRoot Over 2 EndRoot. The nonright angles are congruent. The ladder represents the longest length in the triangle.

Answer:

a,b,d,e

Step-by-step explanation:

answer

What is the slope of the line shown?

Answers

Answer:

1/2

Step-by-step explanation:

what is the value of x?

Answers

Answer:

6 sqrt(3) = x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hyp

sin 60 = x/12

12 sin 60 =x

12 ( sqrt(3)/2) =x

6 sqrt(3) = x

Answer:

x=6[tex]\sqrt{3}[/tex]

Step-by-step explanation:

take 60 degree as reference angle

using sin rule

sin 60=opposite/hypotenuse

[tex]\sqrt{3[/tex]/2=x/12

do cross multiplication

2*x=12*[tex]\sqrt{3}[/tex]

x=12[tex]\sqrt{3}[/tex] /2

x=6[tex]\sqrt{3}[/tex]

A salesman is paid $450 a week, plus a commission of 35 cents for every item that he sells. Write a linear function where the paycheck, P, of the salesman is a function of the number, N, of items he sells. If the salesman only has 1400 items available to sell each week, find the domain and range of the function.

Answers

Answer:

Step-by-step explanation:

1400×0.35

490+450

940

Answer:

The domain is thus [0, 1400].

The range is thus [$450, $940]

Step-by-step explanation:

A suitable function is P(N) = ($450) + ($0.35 / item)*N, where $450 is the base pay per week and N is the number of items sold.

In this case the salesman has only 1400 items available to sell each week.  Therefore N begins at 0 (no items to sell) and ends at 1400 (the max number of items available to sell).  The domain is thus [0, 1400].

The smallest amount the salesman could receive would be when he has not sold any items:  $450.  

The max amount is then $450 + ($0.35/item)(1400 items), or

                                         $450 + $490, or

                                          $940

The range is thus [$450, $940]

Write the equation of a line perpendicular to y = -5x + 1 that goes through (10. 4).
Show all work.

Answers

Answer:

y = 1/5x + 2

Step-by-step explanation:

y = 1/5x + b

4 = 1/5(10) + b

4 = 2 + b

2 = b

have no idea how to do this

Answers

Answer:

ans: option C is correct answer

Step-by-step explanation:

follow steps as shown in picture above,

can someone help me with this Q :)

Answers

Answer:

its the digram: )

Step-by-step explanation:

Answer:

*888888888877727723772289292

Step-by-step explanation:

88ejei49 + 710 is 49 + 710 is 10390..49 + 710 is 10390.

Application: Dana is planning to ride her bicycle around the circular race track and wants to know the distance. If the diameter of the track is 2 mile, how far is the distance around the race track?

Answers

Answer:

6.2831853071795864miles

~6.283

Step-by-step explanation:

Circumference of a circle=2πr

=2π×½×2mile

2×π×1mile

=6.2831853071795864miles

~6.283

Or, πd

=π×2miles

=6.2831853071795864miles

~6.283

A student recorded the following distance measurements 4.3 miles ,1.7 miles and 5.6 miles what are the total measurements recorded

Answers

Answer:

11.6 miles

Step-by-step explanation:

4.3 miles + 1.7 miles + 5.6 miles = (4.3+1.7+5.6)miles

= 11.6 miles

Area of the grass area only:

Area of the track only:

Answers

Answer:

Step-by-step explanation:

area including track=area of 2 semi circles+area of rectangle

=2×1/2×π×46²+86×65

=2116 π+5590

area of grass=2×1/2×π×40²+80×65=1600π+5200

≈10226.55 m²

area of track=2116π+5590-1600π-5200

=516π+390

≈2011.06 m²

Find the equation of the line with slope zero passing through A(-4, 7).

Answers

Answer:

y =7

Step-by-step explanation:

A line with zero slope is

y = constant

The y value for the point is 7

y =7

Answer:

0x+7=y

Step-by-step explanation:

0(-4)+b=7

0+b=7

b=7

Given the graph of the line, choose two points and find the slope. Construct the equations for each of the
points you chose in point slope form. Show your work and explain each step.
*The graph is in the picture *
PLEASE HELP I WILL GIVE BRAINLIST

Answers

Step-by-step explanation:

First, given that we must use point slope form, we can define that as

y - y₁ = m (x-x₁), with m being the slope .

To find the slope, we can use the equation

[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]. Two points on the graph are (0, 1) and (1, 3). For these points, when calculating the slope, 0 and 1 represent x₁ and y₁ respectively, while 1 and 3 represent x₂ and y₂ respectively Using this formula, we can plug our points in to get

[tex]\frac{3-1}{1-0} = 2/1 = 2[/tex]

as our slope. Therefore, our equation is

y - y₁ = 2 (x-x₁).

For our first point, (0,1), we can simply plug 0 in for x₁ and 1 in for y₁ to get

y - 1 = 2(x-0) as one equation

Next, for (1,3) we can plug 1 for x₁ and 3 for y₁ to get

y - 3 = 2 (x-1) as our other equation


Use SOH CAH TOA to find the missing side.

Answers

sin(43) × hypotenuse of 19 gives you oppo

= 13

Could someone help me with 2, 9, 10, 11, 12 13, and 14?

Answers

Answer:

13.  (1) x + 8x = 32

14.  $337.5

Step-by-step explanation:

14. $270 x 0.25 = 67.5

270 + 67.5 = 337.5

I am sorry. I only got these-

yea 14 is 337.50 that’s all I got tho

If K(4,-5) is rotated counter clockwise 270°, what will be the coordinates of its image?
K'(5,-4)
K'(5, 4)
K'(-4,5)
K'(-5,-4)

Answers

Answer:

(-5, -4)

Step-by-step explanation:

The formula for a point (x, y) rotating 270 degrees counterclockwise is that it turns into (y, -x). Thus, for (4, -5), its image would be (-5, -4)

if logx √2 = 1/6
, then x =?

Answers

Step-by-step explanation:

logx√2=1/6

<=> logx(2^1/2)=1/6

<=>1/2.logx(2)=1/6

<=>logx(2)=1/3

<=>2=x^1/3

<=>x=

Sorry I forgot the formula in the last step

Answer:

v= 331m/s +(0.6 m/s /°C)×T

Given,

T=40°C

Substituting the value of T we get,

v=331m/s +(0.6 m/s /°C)×40°C

= 331m/s +(0.6 m/s)×40

= 331m/s+(24.0)

=355m/s

Solve for b. -11b+7 =40 what does b equal

Answers

Answer: b=-3

-11b+7=40
-7 -7
-11b=33
divide by -11 on both sides
b=-3

Explanation: In order to solve for x, you need to subtract 7 on both sides and then divide by -11 on both sides. You should get b=-3.

A pencil company packs pencils in boxes of 8. How many boxes can they pack with 32,000 pencils? *


A 40,000
B 4,000
C 400
D 40

Answers

Answer:

B: 4,000

Step-by-step explanation:

32000/8=4000

Answer:

4000

Step-by-step explanation:

32000/8............

11. It refers to the information that supports the claim.
A. reference
B. evidence
C. cite
D. issue​

Answers

Answer:

B. Evidence

Step-by-step explanation:

Reference: like when your drawing something and you want to make sure that you draw the hair the same way some other person did.

Cite: That’s when you give the credits to someone or something 90% sure

Hope this helps :)

a) Complete the table of values for y = 2x2 + x

Answers

You plug each of the values in for x and come out with
-2 = 6
0 = 0
2 = 10

b) Write 25 x 10^6 in standard form.​

Answers

Answer:

25000000

hope this helps

have a good day :)

Step-by-step explanation:

The standardised form is 25,000,000. I hope this helps!

show that 21^n, n €N can never ends with 0,2,4,6 and 8​

Answers

Answer:

Step-by-step explanation:

[tex]21 ^n = (3 \times 7)^n[/tex]

21 has no 2 in it's prime factorization. So it can never end in 0, 2 , 4 , 6 , 8.

 OR

Odd number raise to any number is always odd, Which does not include 2, 4, 6 , 8.

So [tex]21^n[/tex] does not end with 0, 2, 4 , 6 , 8.

Martha has two pet poodles. Fifi, her standard poodle, weighs 7 times as much as
Buttercup, her toy poodle.
Pick the diagram that models the ratio in the story.
Fifi
Buttercup
Fifi
Buttercup
If Fifi weighs 56 pounds, how much does Buttercup weigh?
pounds

Answers

Answer:

Buttercup weighs 8 pounds

Step-by-step explanation:

Sorry I can't pick a diagram, since we can't see a photo.

if b is Buttercup and f is Fifi, substitute in Fifi's weight, and solve for b

b x 7 = f

7b = 56

divide both sides by 7

b = 8

At 6 a.m., the temperature was –8°C. By noon, the temperature had risen 6°C. The temperature at 6 p.m. was –10°C. Which integer represents the temperature change between noon and 6 p.m.?
–24
–12
–8
–4

Answers

Answer:

-8

Step-by-step explanation:

so -8 + 6 = -2. and then for that to drop to -10, it would have to change -8 degrees

Answer:

Step-by-step explanation:

-8 is the answer

8.
Which quadratic function is shown in the graph below?

Answers

The answer is (C) y = 1/2x^2
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