What is the greatest common factor of 4x^3
and 8x^2?

Answers

Answer 1

Answer:

the gcf is 4

Step-by-step explanation:

Answer 2

Final answer:

To find the greatest common factor of 4x³ and 8x², we look at the numerical coefficients and the variables separately. The GCF of the coefficients 4 and 8 is 4, and since x² is the lowest power of x common in both terms, the GCF is 4x².

Explanation:

The greatest common factor (GCF) of two expressions, like 4x³ and 8x², involves finding the highest degree of common terms they share. First, let's compare the numerical coefficients; 4 and 8. The GCF of 4 and 8 is 4. Next, we'll look at the variable part. The lowest exponent of x that appears in both terms is 2. Therefore, the GCF is the product of the GCF of the coefficients and the lowest power of x, which is 4x².


Related Questions

Work out the size of angle x

Answers

Answer:

23° is the right answer brother !

Yea 23 is the answer

Does 6 have a greater absolute value than -8

Answers

Answer:

No

Step-by-step explanation:

The absolute value of -8 is 8,and 6<8.

Mark me brainliest if I helped:D

Help please will give B
-1/-3 positive rational number or negative rational number
+1/-3 positive rational number or negative rational number
-2/+3 positive rational number or negative rational number
+1/+3 positive rational number or negative rational number
+2/-3 positive rational number or negative rational number
-1/+3 positive rational number or negative rational number
-2/-3 positive rational number or negative rational number
+2/+3 positive rational number or negative rational number

Answers

Hi there! Hopefully this helps!

----------------------------------------------------------------------------------------------------------------

Remember: When the numerator and denominator both are positive integers or both are negative integers, it is a positive rational number. When either the numerator or the denominator is a negative integer, it is a negative rational number.

(-1/-3) Positive Rational Number.

(+1/-3) Negative Rational Number.

(-2/+3) Negative Rational Number.

(+1/+3) Positive Rational Number.

(+2/-3) Negative Rational Number.

(-1/+3) Negative Rational Number.

(-2/-3) Positive Rational Number.

(+2/+3) Positive Rational Number.

Final answer:

In mathematics, the sign of a rational number is determined by the signs of the numerator and the denominator. If both the numerator and the denominator are of same sign (either positive or negative), the rational number is positive. If they have different signs (one positive, one negative), the rational number is negative.

Explanation:

According to the rules of mathematics, the sign of a rational number is determined by the signs of the numerator and the denominator. If both are positive or both are negative, the resulting number is positive. If one is positive and the other is negative, the result is negative.

-1/-3: This can be interpreted as negative divided by negative. When we divide negative by negative, the result is a positive rational number.+1/-3: This is positive divided by negative, giving a negative rational number.-2/+3: This means negative divided by positive, resulting in a negative rational number.+1/+3: Both positive, hence the result is a positive rational number.+2/-3: Stands for positive divided by negative which gives a negative rational number.-1/+3: Interpreted as negative divided by positive, giving a negative rational number.-2/-3: Both are negative, so the result is a positive rational number.+2/+3: Both are positive. Hence, the result is a positive rational number.

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Look at the image to answer.​

Answers

Maria subtracted 10x instead of adding it on step 4

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

Line 4 has the problem:

[tex]12x-10x=44-10x+10x[/tex]

The correct way to put it is:

[tex]12x+10x=44-10x+10x[/tex]

which comes out to:

[tex]12x+10x=44-10x+10x\\22x=44\\x=2[/tex]

Simplify this exponent
10^7

Answers

We can simplify the exponent by multiplying 10 to itself 7 times.

= 10 * 10 * 10 * 10 * 10 * 10 * 10

= 100 * 10 * 10 * 10 * 10 * 10

= 1000 * 10 * 10 * 10 * 10

= 10000 * 10 * 10 * 10

= 100000 * 10 * 10

= 1000000 * 10

= 10000000

10^7 = 10,000,000

~Good luck

Please help!!!!
Find the sum of the series
15
1
(2 1)
n
n

  . Show your work.

Answers

Answer:

225

Step-by-step explanation:

Using the basic components of summation ∑

∑n = [tex]\frac{1}{2}[/tex] n(n + 1) and ∑1 = n

Thus

∑ (2n - 1) ← for n = 1 to 15

= ∑2n - ∑1

= 2∑n - ∑1

= 2 ([tex]\frac{1}{2}[/tex] n(n + 1)) - n

= n(n + 1) - n ← Evaluate for n = 15 ( the upper value )

= 15 × 16 - 15

= 240 - 15

= 225

Answer:

255

Step-by-step explanation:

Which equation has x = 4 as the solution?
olog,(3x+4)= 2
log, (2x-5) = 2
log, 64=4
log, 16 =4

Answers

16=4 because in order to get 4 you need have to divide 16 into 4

The equation that has the solution x = 4 is [tex]log_ 4 (3x+4) = 2[/tex].

Option A is the correct answer.

What is a solution?

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We also find the solution in a system of equations using the substitution or elimination method.

Example:

2x + 4 = 8

The solution is x = 2.

We have,

To find which equation has x = 4 as the solution,

We can substitute x = 4 into each equation and see which one gives a true statement.

Now,

[tex]log_4 (3x+4) = 2\\log_3 (2x-5) = 2\\log_x 64 = 4\\log_x 16 = 4[/tex]

We can write it as,

4² = 3x + 4

16 = 3x + 4

16 - 4 = 3x

3x = 12

x = 4

3² = 2x - 5

9 = 2x - 5

9 + 5 = 2x

14 = 2x

x = 7

[tex]x^4[/tex] = 64

x = [tex]64^{1/4}[/tex]

[tex]x^4[/tex] = 16

x = 16[tex]16^{1/4}[/tex]

x = 2

Thus,

[tex]log_ 4 (3x+4) = 2[/tex] has the solution x = 4.

Learn more about solutions of equations here:

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The complete question:

Which equation has x = 4 as the solution?

[tex]log_4 (3x+4) = 2\\log_3 (2x-5) = 2\\log_x 64 = 4\\log_x 16 = 4[/tex]

Khloe ran around the track 7 times at the same rate of speed. It took her 21 minutes to run. Zachary took 4 minutes to run around the track once. Which student ran​ faster? Explain.

Answers

Zachary ran faster with 4 minutes per lap compared to Khloe's 3 minutes per lap.

To compare the speeds of Khloe and Zachary, we need to find their respective speeds in terms of minutes per lap.

Khloe ran around the track 7 times in 21 minutes, so her speed is [tex]\( \frac{21}{7} = 3 \)[/tex] minutes per lap.

Zachary took 4 minutes to run around the track once, so his speed is [tex]\( 4 \)[/tex] minutes per lap.

Comparing their speeds, Zachary's speed is faster at 4 minutes per lap, whereas Khloe's speed is 3 minutes per lap.

In summary, Zachary ran faster than Khloe because he completed each lap in 4 minutes compared to Khloe's 3 minutes per lap.

You take a 10 question multiple choice test. Each question has 4 choices and you guess on all of them. What is the probability you get 7, 8, 9, and 10 questions right. Explain your work

Answers

Answer:

Probability of getting 7 correctly = 0.0030899

Probability of getting 8 correctly = 0.00038624

Probability of getting 9 correctly = 0.00002861

Probability of getting 10 correctly = 0.00000095367

Probability of Getty at least 7 questions correctly = 0.0035057

Step-by-step explanation:

Please kindly check the attached files for more explanation.

Second try PLEASE HELP ME ASAP i always give brainliests and thanks +20 points!
(if you can please explain too how to find the discriminant i am very bad at it)

Answers

Answer:

The discriminant is positive

Step-by-step explanation:

You can find that because on the graph, the top of the curve is on Y and its positive. Its at positive 4 so its positive......sorry im not good at explaning hope this helped.....also you can check google images or videos and it explanes.

Answer:

Positive

Step-by-step explanation:

In order to answer this question, we need to figure out the equation of the quadratic.

We see that the vertex is at (0, 4) and that the points (1, 3) and (2, 0) are on the graph. The generic quadratic is: ax^2 + bx + c, so we can just plug in these three points to find a, b, and c:

4 = 0 + 0 + c  ⇒  c = 4

3 = a + b + c = a + b + 4  ⇒  a + b = -1

0 = 4a + 2b + c = 4a + 2b + 4  ⇒  4a + 2b = -4

We now have two linear equations (a + b = -1 and 4a + 2b = -4) so multiply the first one by 2 and subtract it from the second:

  4a + 2b = -4            ⇒             4a + 2b = -4

- 2(a + b) = (-1) * 2       ⇒         -   2a + 2b = -2

______________     ⇒       ______________

Our difference is 2a = -2, so a = -1. Plug this back in to find b: a + b = -1.

-1 + b = -1

b = 0

So our equation is -x^2 + 4 = 0.

The discriminant is just b^2 - 4ac. Here, it is: 0^2 - 4 * (-1) * (4) = 16.

So the discriminant is positive.

Hope this helps!

evaluate the expression shown 6(14+8)12

Answers

Answer:

1584

Step-by-step explanation:

Do distributive property to solve I believe

Select the three ratios that represent the number of blue marbles to red marbles.

Answers

6:9, if you need more just simply find common ratios or simplify.

Answer: Either 2:3 or 3:2

The volume of the cylinder above is 2314.25units3 , and the radius of the base is 8.9 units. Find the volume of the cone.

Answers

Answer:

771.4 units^3

Step-by-step explanation:

Formula for volume of a cylinder = V=πr^2h

Plug in the numbers to solve for the height (note: the height of an oblique or slanted cylinder is the same as a regular right cylinder)

2314.25 = π(8.9)^2 h

h=9.3

Then plug the height into the formula for a pyramid

V = 1/3πr^2

V = 1/3 π (8.9)^2 (9.3)

V = 771.4 units ^3

Find the distance of the line segment joining the two points

Answers

Answer:

D or 4 square root 3

Step-by-step explanation:

using distance formula -12 square rooted - 2 square root 3 = -4squareroot3. So, after that you would square giving 48 then square root giving 4 square root 3. (-4 square root 2 and -32 square rooted cancel out giving 0)

What is the relationship between the sides x and y in the given figure?

Answers

Y=2x because x axis is on the bottom and X axis always comes before Y axis!

5x + 2y = 7
y=x+1
What is the solution set of the given system?
{(5/7, 1217)
{(9/7,16/7)
{(1217,5/7)
{(16/7.9/7)]

Answers

Answer:

(5/7, 12/7) <- I think you meant to type that. Its the first one

Step-by-step explanation:

Step 1: Substitute y=x+1 in for y in 5x + 2y = 7

5x + 2(x+1) = 7

Step 2: Solve it

5x + 2x + 2 = 7

       7x + 2 = 7

             - 2  - 2

              7x = 5

              ---    ---

               7     7

                x = 5/7

Step 3; Plug x into y=x+1

y = 5/7 + 1

y = 12/7

Answer:

{(5/7 , 12/7)}

Step-by-step explanation:

First plug y into one of the x's

5x + 2(x + 1)  = 7

Now solve for X

5x + 2x + 2 = 7

Combine like terms

7x + 2 = 7

Subtract 2 from each side

7x = 5

Divide to get x by itself

x = 5/7

Now plug that into the second equation for x

y = 5/7 + 1

now just solve it

y = 12/7 if they want it simplified then it's 1 5/7

Hope this helped!

5 ½ x 3=
2 ⅓ x 4 ¾=
-2 ⅖ x 3 ¼=

Answers

1) 16 1/2

2) 7

3) -1 4/5

2.) Find the length of RQ.

Answers

Answer:

the length of angle R Q is 4

What are the key characteristics of the graph of f(x)=cscx?

Select all correct statements.


a.The range of the function is (−∞, −1]∪[1, ∞) .

b.The y-intercept is (0,1).

c.Asymptotes occurs every π, beginning at x = 0.

d.The x-intercepts occur every π, with one x-intercept at (π2,0).

Answers

The key characteristics of graph of f(x) = cosecx are, The range of the function is (−∞, −1]∪[1, ∞) and Asymptotes occurs every π, beginning at x = 0. So statements 1 & 3 are correct

What is trigonometry?

Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.

There are 6 commonly used functions in trigonometry with their name and abbreviations-

sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), cosecant (cosec)

Given that,

A trigonometric function,

f(x) = cosecx

The range of cosecx is (−∞, −1]∪[1, ∞)

At x = 0, it is approaching to infinity from both the sides

So, y intercept is not 1

At every π interval, it has Asymptotes

It never intersects the x axis, So x-intercept is not exist here

Hence, statements 1 & 3 are correct

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The graph of f(x)=cscx has a range of (−∞, −1]∪[1, ∞) , no y-intercept, and asymptotes at every multiple of \pi, but no x-intercepts.

The key characteristics of the graph of the function f(x)=cscx include the following:

The range of the function is(−∞, −1]∪[1, ∞) .which corresponds to all real numbers that are not between -1 and 1.

This is because the cosecant function is the reciprocal of the sine function, which ranges from -1 to 1.

So, the cosecant function will take on all values that are less than -1 or greater than 1.

The graph does not have a y-intercept because the function is undefined at x = 0.

The sine function, which is the reciprocal of the cosecant, equals 0 at this point, and division by zero is undefined.

Asymptotes occur at every multiple of [tex]\pi[/tex], excluding multiples of \(\pi/2\) because at these points the sine function equals 0, and

since cosecant is the reciprocal of sine, the function is undefined at these points;

so statement c is incorrect.

The x-intercepts are nonexistent because the function is the reciprocal of sine, and sine only takes the value zero at multiples of \(\pi\), at which points cosecant is undefined.

Option a., c., d.

PLEASE HELP ME ASAP..................................

Answers

Answer:

2, 4, 5

Step-by-step explanation:

Answer:

5x+3x AND 8x

(10b-10b) And 0

y-9(3) AND -27

Step-by-step explanation:

please give me brainliest

Expand and simplify
(3x +4)(2x +3)

Answers

Answer: 6x^2 + 17x + 12

Step-by-step explanation:

You multiply the two outside terms and the two inside terms then add

Need help plz thank you

Answers

Answer:

20000

Step-by-step explanation:

1 km = 1000 m. 20 km = 20000, basically # of km times 100

Answer: 20,000 meters or 12.4 miles (Didn't know which one you meant)

Step-by-step explanation:

To get miles all you have to do is divide it by 1.6.

To get the meters all you have to do is to multiple it by 1000.

(Hope this helps)

Which graph represents a function with an initial value of One-half?
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.08), (0, 0.4), (1, 2).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.1), (0, 0.5), (1, 2.5).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.4), (0, 0.2), (1, 1).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.12), (0, 0.6), (1, 3).
Mark this and return

Answers

Answer:

The answer is B) On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.1), (0, 0.5), (1, 2.5).

Step-by-step explanation:

The initial value is the y-intercept and b has a y-intercept of 0.5

Hope this helps :)))

Answer:

B edge 2020

Step-by-step explanation:

Factor completely 14g^5 - 21g^7

Answers

Answer:

7g^2 (2 - 3g^2

Step-by-step explanation:

First, you have to factor out the GCF

in this case, factor out 7g^5 to get

7g^2 (2 - 3g^2)

At this point you can't factor anymore, so you get

7g^2 (2 - 3g^2)

-3/5n=2/5 pls help me

Answers

Answer:

the answer is the expression, 5n-3

Step-by-step explanation:

Answer:

The value of n is -3/2.

Step-by-step explanation:

In order to solve x, you have to use the Cross-Multiplication :

[tex] \frac{ - 3}{5n} = \frac{2}{5} [/tex]

[tex] - 3(5) = 2(5n)[/tex]

[tex] - 15 = 10n[/tex]

[tex]10n \div 10 = - 15 \div 10[/tex]

[tex]n = \frac{ - 15}{10} [/tex]

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

a plane averaged 400 mph on a trip going east, but only 280 mph on the return trip. The total flying time in both directions was 8.5 hours. what was the one-way distance?

Answers

Answer:

1400 miles

Step-by-step explanation:

Speed is the time rate of change of distance. It is the ratio of distance to time and is given by the equation:

[tex]Speed(S) = \frac{distance(d)}{time(t)}\\ S=\frac{d}{t}[/tex]

plane averaged 400 mph on a trip going east, but only 280 mph on the return trip.

The time spent (t₁) in going east is given by:

[tex]S=\frac{d}{t_1}\\ t_1=\frac{d}{S} =\frac{d}{400mph}[/tex]

The time spent (t₂) in going east is given by:

[tex]S=\frac{d}{t_2}\\ t_2=\frac{d}{S} =\frac{d}{280mph}[/tex]

The total time (t) = t₁ + t₂

t = t₁ + t₂ = 8.5 hours

[tex]\frac{d}{400}+\frac{d}{280} =8.5\\280d+400d=952000\\680d=952000\\d=1400miles\\[/tex]

Therefore the one way distance is 1400 miles

How many games did they play

Answers

The number of games played is 9

Let the number of games played = g

Amount of bet per game = $2

Number of games won by Marty = 4

Number of games won by Wendy will be;

g - 4

Amount won by Wendy = $10

This means ;

cost per bet × number of games won by Wendy = 10

2(g - 4) = 10

2g - 8 = 10

2g = 18

g = 9

Hence, They played 9 games.

(-5, 3), (2, 1)
What is the slope

Answers

Answer:

[tex]-3.5[/tex]

Step-by-step explanation:

[tex] \frac{ - 5 - 2}{3 - 1} = \frac{ - 7}{2} = -3.5[/tex]

hope this helps you

Slope: [tex]-2/7[/tex]

Find the slope between your two points

[tex](x_{1} ,y_{1} )=(-5,3)\\(x_{2} ,y_{2} )=(2,1)[/tex]

Use the slope formula

[tex]y_{2} -y_{1} /x_{2} -x_{1}[/tex]

[tex]1-3/2--5[/tex]

[tex]-2/7[/tex]

Slope

[tex]-2/7[/tex]

1. Solve and show your work for each question.(a) What is 0.36 expressed as a fraction in simplest form?(b) What is 0.36 expressed as a fraction in simplest form? (c) What is 0.36 expressed as a fraction in simplest form?<br />Answer: ( For question A there is a line over 36). ( For question B there is a line over 6). ( For question C there is no line over 0.36).​

Answers

Answer:

9/25

Step-by-step explanation:

0.36

36/100

18/50

9/25

Answer:

Step-by-step explanation:

     ____

a) 0.36   = 0.3636........    

x = 0.363636.......    

{After decimal two digits are there and both are repeated. So, multiply both side by 100}

100x = 36.3636.......  equ(i)

    x =   0.3636......   equ(ii)   {Now, subtract equ (ii) form (i)

99x  = 36

x = 36/99

x = 4/11

0.3636...... = 4/11

B)    __

 0.36     = 0.366666.....

{After decimal point two digits are there but only one digit, 6 is repeated. so first multiply both sides of equation [x=0.366...] by 100 and mark it as equation (i) and then multiply both sides of the equation [x=0.366...] by 10 and mark it as (ii) equation }

x = 0.3666....

100x = 36.66666.....     ---------- (i)

10x  =    3.66666......      ---------(ii)  {Now subtract (ii) from (i)}

90x = 33

x = 33/90

x = 11/30

0.36666..... = 11/30

c)

[tex]0.36=\frac{36}{100}\\\\= \frac{9}{25}[/tex]

2(2x +1) = 3(x-8) =
how do you solve this ​

Answers

Answer:

x=-26

Step-by-step explanation:

Distributive property first (both sides)

you would get

4x+2 = 3x-24

next you will subtract 3x from both sides

1x+2=-24

add 24 to both sides

1x+26=0

move 26 to the other side but since you flipped it you have to make it negative

x=-26

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