Factor the following polynomials:
1.) 100a² - 25b²
2.) m³ + 125
3.) 8a³ - 64b³
4.) x² - 8x + 12
5.) b² - 6b - 27​

Step-by-step explanation:

The point-slope form of a line is (y - y₁) = m(x - x₁)

Since we know the slope (m) is -4

And the point  ( x₁, y₁ ) is (4, 5)

Then we can just plug these into the equation above:

                               ⇒  y - 5 =  - 4 (x - 4)

I often use Desmos to check my answer. As seen below, the equation does pass through the point (4, 5).                                      

First, raise the denominator (27) to the power of 1:

3^-(x-2) = 1/27^1

Next, use the negative exponent rule that is represented by the equation of 1/b^n = b^-n and then move 27 to the numerator:

3^-(x-2) = 27^-1

Rearrange the term so that both equations have the same base:

3^-(x-2) = 3^-3

Now when noticing how this has been completed, it is noticed that since both of these equations have the same bases, the only thing left to do is have the exponents equal one another. For now, ignore the bases and focus only on the two sets of exponents -(x - 2) and (-3). Lets make a new equation with only the exponents:

-(x - 2) = -3

Next, add the distributive property on the left side of the equation to remove the - sign outside (Note: Double negatives equal positive)

-x + 2 = -3

Subtract 2 from both sides:

-x = -5

Finally, it is asking for positive x not negative, so divide both sides by -1:

x = 5

So, the answer is A which is 5.

If 3-(x - 2) = 1/27 then the value of x is a) 5.

To solve for x, we'll follow these steps:

1. Distribute:

Distribute the negative sign into the parentheses:  

3 - (x - 2) = 1/27

3 - x + 2 = 1/27

Simplify:

5 - x = 1/27

2. Isolate x:

To solve for x, we need to get it alone on one side of the equation. Subtract 5 from both sides:

5 - x - 5 = 1/27 - 5

-x = -134/27

3. Multiply by -1:

To solve for x, multiply both sides by -1 to isolate x:

-1 * -x = -1 * -134/27

x = 134/27

4. Simplify:

[tex]x = \approx 4.9629[/tex]

Since none of the given options exactly match the calculated value, we can see that option a) 5 is the closest answer.

However, the precise solution is a fraction between 4 and 5, so none of the provided options is an exact match.

In summary, while none of the given options is an exact solution, the closest answer is a) 5.

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Complete Question

Choose the correct answer from the given options:

If 3-(x - 2) = 1/27, what is the value of x?

a) 5

b) 3

c) -1

d) -5

Answer:

around 7

Step-by-step explanation:

7 is my lucky number

Answer:

[tex] \sqrt[3]{ \frac{ {y}^{5} }{27 {y}^{3} } } = \sqrt[3]{ \frac{ {y}^{3} ({y}^{2}) }{27 {y}^{3} } } \\ \\ \\ = \sqrt[3]{ \frac{ {y}^{2} }{27} } = \frac{ \sqrt[3]{ {y}^{2} } }{ \sqrt[3]{27} } \\ \\ \\ = \frac{ \sqrt[3]{ {y}^{2} } }{3} [/tex]

I hope I helped you^_^

Step-by-step explanation:

Using Pythagoras theorem,

Let the ratio of the sides be x

B²=H²-P²

B²= (25x)²-(21x)²

B²=625x²-441x²

B²=184x²

B=13.56x.

hope this helps you.

Answer:

Your answer is [tex]\sqrt{184}[/tex] or 13.5646599663...

Step-by-step explanation:

[tex]A^{2} +B^{2} =C^{2} \\A^{2} +21^{2} = 25^{2} \\A^{2} = 25^{2} - 21^{2} \\A^{2} = 625-441\\A^{2} = 184\\A = \sqrt{184}[/tex]

Hope this helps!

Answer: $42

Step-by-step explanation: 7 x 6 = 42

Answer:

$42

Step-by-step explanation:

7 times 6 is 42 so 6 movie tickets that cost $7 is $42 all together

that is so easy to do omg plss say me what is grade

Answer:

(6,3), (10,5),(14,7)

Step-by-step explanation:

6/3 = 2

10/5 = 2

14/7 = 2

Answer:

I believe it is C

Step-by-step explanation:

sorry if I'm wrong I'm not sure

Table (2) is a probability distribution table.

Probability is the possibility of happening an event.

Note the probability can never be negative, therefore, discard the tables with negative values.

Hence, table (1) and table (3) cannot be probability distribution tables.

Now, the sum of all probabilities in a probability distribution is always 1.

The sum of probabilities in the table (2) is:

0.6 + 0.05 + 0.05 +0.3

=1.0

And, the sum of probabilities in the table(4) is:

0.4 + 0.4 + 0.2 + 0.1

=1.1

Therefore, table (2) is a probability distribution table.

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Inequalities are used to represent unequal expressions

The inequality that represents the number  of  seeds her apple could  have is [tex]\mathbf{A < 6}[/tex]

Represent the fruits with the first letter.

So, we have:

[tex]\mathbf{W =3A - 1}[/tex] --- watermelon is one less than three times apple

[tex]\mathbf{O =5A - 13}[/tex] --- orange is thirteen less than five times apple

[tex]\mathbf{W > O}[/tex] --- the seeds in watermelon exceeds orange

Substitute expressions for W and O in [tex]\mathbf{W > O}[/tex]

[tex]\mathbf{3A - 1 > 5A - 13}[/tex]

Collect like terms

[tex]\mathbf{13- 1 > 5A - 3A}[/tex]

[tex]\mathbf{12 > 2A}[/tex]

Divide both sides by 2

[tex]\mathbf{6 > A}[/tex]

Rewrite as:

[tex]\mathbf{A < 6}[/tex]

The inequality that represents the number  of  seeds her apple could  have is [tex]\mathbf{A < 6}[/tex]

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Answer:

18.......................

Answer:

16,733 lbs

Step-by-step explanation:

1 ton= 2,000 lbs. Hope this helps!

Answer:

6 11/15

Step-by-step explanation:

So the equation is 6 9/10 - 1/6, you gotta have similar denominators to have an easy subtraction process. So 9/10 - 1/6. Both numbers go into 60. 10×6 so that becomes the new denominator. Now your numerator, the 9 is times 6 because the 10 gets times by 6 so 9 times 6 = 54. You got your first fraction done and you put I back with the whole number so 6 54/60. So 1/6 10 times 6 equals 60 so now 1/60 times the 1 by 10 whatever you do to the bottom you do to the top 1 times 10 is 10 so we got out second fraction 10/60 so now it's 6 54/60 - 10/60, 54 - 10 = 44 so your answer is 6 44/60 but we can simplify so 44 ÷ 2 = 22 and you do it to the bottom 60 ÷ 2 = 30 now we got 22/30 we can divide by 2 again and we get 11/15. Put it back with the whole number and we get 6 11/15

Using the division operation, the set of number of in which the larger number is about 20 times greater than the lesser number is depicted by the options C and D.

Evaluating each set of number :

1.)

[tex]\frac{2.01 \times 10^{7}}{4.25 \times 10^{6}} = 4.73 [/tex]

2.)

[tex]\frac{4.91 \times 10^{6}}{5.09 \times 10^{3}} = 964.64 [/tex]

3.)

[tex]\frac{8.21 \times 10^{-3}}{4.13 \times 10^{-4}} = 19.88 [/tex]

4.)

[tex]\frac{5.97 \times 10^{4}}{3.12 \times 10^{3}} = 19.13[/tex]

Therefore, the set of numbers which shows a number being about 20 times greater than the other are options C and D

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Answer:

$20

Step-by-step explanation:

12.6x-2.1x=210

10.5x=210

x=210/10.5

x=20

Step-by-step explanation:

(i) 2x = 5

compare with ax+by+c = 0

→ 2x + 0.y - 5 = 0

» a = 2 ,b = 0 ,c = -5

(ii) y - 2 = 0

compare with ax + by + c = 0

→ 0.x + 1y -2 = 0

» a = 0 , b = 1 , c = -2

(iii) y/7 = 3

y = 3×7

y = 21

y - 21 = 0

compare with ax + by + c = 0

→ 0.x + 1y -21 = 0

» a = 0 , b = 1 , c = -21

(iv). x = -14/13

13x = -14

13x + 14 = 0

compare with ax + by + c = 0

→ 13x + 0.y + 14 = 0

» a = 13 , b = 0 , c = 14

Answer:

Answer is in the pic

Step-by-step explanation:

A translation is just a movement of the figure so in this case you just add 3 to the x part of the coordinate.

so originally k (-2,5)    m (-3,1)      l (1,1)

add 3 to x so

k (1,5)   m (0,1)   l (4,1)

Answer:

My answer is -9.becasiug

Answer:

I have work busy byeeeeeeeee

Answer:

18°

Step-by-step explanation:

1. ∠A and ∠B are complementary angles, so they add up to 90°.

2. To find the measure of ∠A, we first have to solve for x.

3. (Solving)

Step 1: Simplify both sides of the equation.

Step 2: Subtract 13 from both sides.

Step 3: Divide both sides by 7.

4. Now that we know x = 11, let's plug that value into (2x - 4) to find the measure of Angle A.

Therefore, the measure of ∠A = 18°.

Answer:

m<A = 18

Step-by-step explanation:

Since <A and <B are complementary angles, that just means those 2 angles combined equal 90:

<A + <B = 90

2x - 4 + 5x + 17 = 90

7x + 13 = 90

7x = 90 - 13

7x = 77

x = 77/7

x = 11

m<A:

2x - 4

2(11) - 4

22 - 4

18

Answer:

7/23

Step-by-step explanation:

3 2/7 - so 7 times 3 is 21, plus the extra 2 is 23, so it then becomes the improper fraction 23/7, which switched becomes 7/23

Answer: is in picture below

I hope this is the right answer and if it's not then my apologies.

And sorry it took so long.

Answer/Step-by-step explanation:

Given :  

The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):

To Find: two types of transformations that can be used to transform f(x) to g(x).

=================================================================

Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)

Solution Part A:

f(x) = x/5  + y/(-10) = 1  

=> 2x  - y  =  10

=================================================================

Part B: Solve for k in each type of transformation. (4 points)

Solution Part B:

g(x) = x/(-3) + y/6  = 1

=> 2x  -  y  = - 6  

=================================================================

an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)

Solution Part C:  

Transformations :

g(x)  = f(x)  +  16

g(x) = f(x + 8)

Answer:

cow is 65bpm

horse is 38bpm

Step-by-step explanation:

cow is given

horse divide total beats by total min

Answer:

It is a measure of how much the function changed per unit, on average, over that interval.

Hope this helps.

Answer: Correct, are you dragging the line across?

Answer:

Step-by-step explanation:

The formula for electrical power, P, is P = I2R , where I is current and R is resistance. The formula for I in terms of P and R is 1 I= P/R 2 3 I=P-R2 2 I= square root of P/R 4 I= square root of P-R.

Answer:

Option  D

Step-by-step explanation:

f(-1,3) = (3-2 , 2*(-1) = (1, -2)

f(-3,5) = (5-2 , 2*(-3) ) = (3, -6)

f(-1,0) = (0-2 , 2*(-1) = (-2, -2)

Answer:

300,621

Step-by-step explanation: