Use the Binomial Theorem to expand (x - 4y)³.

Answer: [tex]x=-3[/tex]

Simplify both sides of the equation

[tex]1+-2x=-1+8+8x+-8x[/tex]

[tex]-2x+1=(8x+-8x)+(-1+8)[/tex] (Combine Like Terms)

[tex]-2x+1=7[/tex]

Subtract 1 from both sides

[tex]-2x+1-1=7-1\\-2x=6[/tex]

Divide both sides by -2

[tex]-2x/-2=6/-2\\x=-3[/tex]

Answer:

[tex]\Huge \boxed{x=-3}[/tex]

Step-by-step explanation:

[tex]1-2x= -1+8+8x-8x[/tex]

Combining like terms.

[tex]1-2x= 7[/tex]

Subtracting 1 from both sides.

[tex]-2x= 7-1[/tex]

[tex]-2x=6[/tex]

Dividing both sides by -2.

[tex]x=-3[/tex]

Answer:

Big fella

Step-by-step explanation:

100-4 x m

Answer:

i think the answer u need is -2-4x

Answer: 24

Step-by-step explanation:

Let x=the number

x+10x=264

    11x=264

       x=24

Hope this helps!! :)

Answer:

definition of plagiarism

Step-by-step explanation:

Plagiarism is presenting someone else's work or ideas as your own, with or without their consent, by incorporating it into your work without full acknowledgement. All published and unpublished material, whether in manuscript, printed or electronic form, is covered under this definition.

Answer:

5

Step-by-step explanation:

17x = 85

17x/17 = 85/17

x = 5

Answer:

[tex]4x - 13[/tex]

Step-by-step explanation:

Given

Represent the number with x

Required

Translate the statements to expression

First, we need to get triple of x:

[tex]Triple\ of\ x= 3 * x[/tex]

[tex]Triple\ of\ x= 3 x[/tex]

Next is to get the difference between 3x and 13

This is represented as [tex]3x - 13[/tex]

Lastly, Add x to the above:

[tex]x + 3x - 13[/tex]

[tex]4x - 13[/tex]

Hence, the variable expression is 4x - 13

Answer:

C is facing North

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{ log_{5}(25) + log_{5}(125) - log_{5}(625)}{ log_{5}(100) } [/tex]

[tex] \frac{ log_{5}( \frac{25 \times 125}{625} ) }{ log_{5}(25 \times 4) } [/tex]

[tex] \frac{ log_{5}(5) }{ log_{5}(25) + log_{5}(4) } [/tex]

[tex] \frac{1}{2 + 2 log_{5}(2) } [/tex]

[tex]0.3495 = 0.35[/tex]

Step-by-step explanation:

Perfect squares = 1, 4,9

Probability = 3/ 10

Answer:

x times 1.55

Step-by-step explanation:

3.5 times 1.55 = 5.325

Answer:

5.325

Step-by-step explanation:

Answer:

(x-12)/5

Step-by-step explanation:

Answer:

f⁻¹(x) = (x - 12)/5

Step-by-step explanation:

To find the inverse of f(x), you have to switch the places of the x and y.  You then have to rearrange the equation so that it is equal to y.

f(x) = 5x + 12

x = 5y + 12

x - 12 = (5y + 12) - 12

x - 12 = 5y

(x - 12)/5 = 5y/5

(x - 12)/5 = y

f⁻¹(x) = (x - 12)/5

Answer:

All of those numbers are rational

An object of large mass is pulled down into the surface with a greater force than an object of low mass and as a consequence , there is greater friction between the surface of heavy objects than between the surface and the light object

Answer:

[tex]4n-n^2[/tex]

Step-by-step explanation:

I use 'n' as the unknown value, but you can use any letter you want as the variable.

The product of four and a number would be represented by '4 * n'. The ideal way to write this would be '4n', even though '4 * n' is also correct in value.

The square of the number would be n². Squaring a number is multiplying a number by itself.

The phrase 'difference between...' means subtraction.

Putting it together:

"The difference between the product of 4 and a number and the square of the number" would be:

[tex]4n-n^2[/tex]

Hope this helps.

Answer:

x=5

Step-by-step explanation:

We can write ratios to help us solve

4x            12 +3

---------- = ------------

3x+1                 12

Using cross products

4x*12 = (3x+1) * (15)

48x = 45x +15

Subtract 45x from each side

3x =15

Divide by 3

3x/3 =15/3

x=5

Answer:

Exponential functions are patterns that get continuously multiplied by some number. It's exponential growth when the base of our exponential is bigger than 1, which means those numbers get bigger. It's exponential decay when the base of our exponential is in between 1 and 0 and those numbers get smaller.

Answer:

It models exponential growth.

Step-by-step explanation:

7/4 > 1, so f(x) grows at an exponential rate as x increases.

A graph of f(x) is attached below, showing the exponential growth.

Answer:

This problem requires you to plug in the values to get an answer.

f(2)=1

f(-6)= 65

Step-by-step explanation:

You need to plug in each value in the equation.

[tex]f(2) = 2^{2} - 4(2) + 5[/tex]

[tex]f(2) = 4 - 8 + 5[/tex]

[tex]f(2) = - 4 + 5[/tex]

[tex]f(2) = 1[/tex]

For f(-6):

[tex]f( - 6) = ( - 6)^{2} - 4( - 6) + 5[/tex]

[tex]f( - 6) = 36 + 24 + 5[/tex]

[tex]f( - 6) = 65[/tex]

Answer:

$1016.4 - if this is just a simple multiplication question

Answer:

v = 0.834 m/s or 3 km/h

Step-by-step explanation:

Given that,

Distance between house and playground is 300 meters

If you went 300  metres away in 10 minutes and ran back and  reached in 2 minutes, it means total distance covered by you during whole journey is 300 m + 300 m = 600 m

Total time, t = 10 min + 2 min = 12 min = 720 seconds

Total distance covered divided by total time gives average speed. So,

[tex]v=\dfrac{600\ m}{720\ s}\\\\v=0.834\ m/s[/tex]

or

v = 3 km/h

So, the average speed is 0.834 m/s or 3 km/h.

Answer:

16x

Step-by-step explanation:

80 divided by 5 is 16, so the student can read 16 words per minute. X is the number of minutes.

The average reading rate per minute is 16 words/ min.

and its expression will be [tex]16x[/tex]  

where, [tex]x[/tex] represents the minutes

What is proportion ?

A proportion is an equation based on the equality of two ratios.

It is given that the average third grade student can read 80 words in 5 minutes and it is to calculate the average words read by the student per minute :

[tex]\begin{aligned}5 \text{\:min}&\rightarrow 80 \text{\:words}\\1 \text{\:min}&\rightarrow \frac{80}{5}\text{\:words} \\&\rightarrow 16 \text{\:words}\end{aligned}[/tex]

Therefore, the average reading rate per minute is 16 words/ min.

Read more about ratio at:

https://brainly.com/question/17869111

#SPJ2

Answer:

3x+5=23

Step-by-step explanation:

Answer:

D. 3x+5=23

Step-by-step explanation:

First graph the center at (1,2). Then use your given radius to graph four points around the center. One vertical point above and one below the center, and one horizontal point to the right and one to the left of the center. Those points should be:

• (1,5)

• (1,-1)

• (-2,2)

• (4,2)

Then, to the best of your ability, draw a circle connecting those points.

I hope this makes sense. Please let me know if you have any further questions!

The equation of the circle that has a center at (1, 2) and a radius of 3 units will be (x - 1)² + (y - 2)² = 9. The circle is drawn below.

Let r be the radius of the circle and the location of the center of the circle be (h, k).

Then the equation of the circle is given as,

(x - h)² + (y - k)² = r²

The center of the circle is (1, 2) and the radius of the circle is 3 units. Then the equation of the circle is given as,

(x - 1)² + (y - 2)² = 3²

(x - 1)² + (y - 2)² = 9

The equation of the circle that has a center at (1, 2) and a radius of 3 units will be (x - 1)² + (y - 2)² = 9. The circle is drawn below.

More about the equation of the circle link is given below.

https://brainly.com/question/10618691

#SPJ2

Answer:

4.0

Step-by-step explanation:

Look at the decimal place next to the tenths place. It has a 2 in its place. The rule for rounding is that any number 4 or lower is rounded down. Any number 5 or above is rounded up. The number is 2, which is below 4, so we round down. The tenths place would stay the same because it can't get any smaller. Therefore, 4.028 is rounded down to 4.0

Answer:

The measure of angle B would be 100°

Step-by-step explanation:

Supplementary means two angles add up to 180 degrees. Let's say A+B=180. Since we know what A is, we can substitute that in, B+80=180. Now solve. B=100

Step-by-step explanation:

Answer:

Answer is 900.

Step-by-step explanation:

To find:

Increase #500 in the ratio 16:10

Solution:

New Number: Old Number = 16:10

We are given the old number as 500.

Let the new number after increase = [tex]x[/tex]

Now, using the above ratio:

[tex]x[/tex]: 500 = 16:10

[tex]\dfrac{x}{500} = \dfrac{16}{10}\\\Rightarrow x = 500 \times \dfrac{16}{10}\\\Rightarrow x = 50 \times 16\\\Rightarrow x = 900[/tex]

Therefore, the increased value of 500 in the ration 16:10 is 900.

10 is 90 degrees as all angles on a straight line add up to 180

11 is 42 degrees as all angles on a straight line add up to 180

12 is 138 degrees as all angles on a straight line add up to 180

13 is 42 degrees as vertically opposite angles are the same

14 is 132 degrees as i added the other two angles

15 is 138 degrees as i added the other two angles

there you go hope this helped

Their GCF is 1. They don’t have any others that are the same

Answer:

Jackson is charitable.

Step-by-step explanation: