What is the product of y4 x y6?

Answers

Answer 1
Answer: Multiplying exponents of the same base is basically adding up the exponents. Make sure the base the same which it is.

y^4 x y^6 = y^10

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Ranger says the expression is not in its simplest form. He thinks the two terms need to be combined. Is Ranger right that 8x − 20 can be simplified further?

Answers

Yes, Ranger was right that expression 8x-20 can be simplified further as 4(2x-5).

The given expression is 8x-20.

Ranger says the expression is not in its simplest form. He thinks the two terms need to be combined.

Yes Ranger is correct, the given expression can simplified further.

That is, 8x-20

Factors of 8x and 20 are

8x=2×2×2×x

20=2×2×5

So, the common term is 4

Now, 8x-20=4(2x-5)

Yes, Ranger was right that expression 8x-20 can be simplified further as 4(2x-5).

To learn more about an expression visit;

brainly.com/question/28170201.

#SPJ4

4•(2x-5y) is the furthest it will go

80% of the doctors surveyed believed exercising 30 minutes a day can help you live a healthier life. If 240 doctors believe in exercising, how many doctors were surveyed?

Answers

Answer:

Step-by-step explanation:

The question you should be asking yourself is, "80% of how many doctors is 240?"  Algebraically, 80% is .8, "of" is multiplying, "how many doctors" is our unknown, and "is" means equals.  Putting that all together:

.8x = 240 so

x = 300

Which equation represents the line that passes through the points (6 -3) and (-4 -9)

Answers

first of all you neeeeeed to make sure you know the formula for slope!
which is...
                y2 - y1
    m  =   -----------
                x2 - x1

and since they already gave you two x and y coordinates this is really simple:)  first of all you need to understand what is y2, y1, or x2, x1
taking the points (6,-3) i hope u understand that 6 is the x and -3 is the y.    so knowing that information you always remember to use the information in the order that they gave it to you. i will add an extra link to help explain. Sooo then knowing that you plug it into the formula that I gave you earlier 
so look at the next link that i made:)  
so your slope is 6/5! or 1.2 as a decimal
hopefully you would know what an equation looks like but just in case this is it      y = mx+b 
 so your equation looks like this y = 1.2x -3 
  where did i get the -3?
well look at first x and y coordinate thats your first y intercept:))
hope i helped!!.... and that this was right lol
let me know if it was correct thanks.

The area of the bottom of a shoebox can be written as a(x) = 2x2 - 4 and the height of the shoebox can be written as h(x) = 3x + 2. write an expression to represent the volume v(x) of the shoebox.a.v(x) = 6x3 - 8

Answers

Answer:V(x) = 6x³ + 4x² - 12x - 8

Step-by-step explanation:

The shoe box can either be cube shaped or cubiod shaped. The volume of the box is length × breadth × height

Since Area = Length × Breadth

Volume = Area × Height

V(x) = A(x) × H(x)

A(x) = 2x² - 4

H(x) = 3x + 2

V(x) = (2x² - 4)(3x + 2)

V(x) = 6x³ + 4x² - 12x - 8

Charlie solved an equation, as shown below:Step 1: 5x = 30
Step 2: x = 30 – 5
Step 3: x = 25

Part A: Is Charlie's solution correct or incorrect? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation. (6 points)

Part B: How many solutions will this equation have? (4 points)
Unsubscribe · Report · Tue Mathematics

Answers

Answer: A) Yes, his solution is incorrect.

B) The given equation has 1 solution.

Step-by-step explanation:

A) Here, the given expression is,

5 x = 30

Thus, the steps of solving the given expression are as follow,

Step 1: 5 x = 30

Ste 2 : x=(30)/(5)

Step 3 : x = 6

Hence, by the above explanation,

It is clear that the given steps of the solution are incorrect.

B) Since, x has only one value which is 6,

Hence, the given expression has only one solution.

A segment has endpoints A (-1, 1) and B (8, 4) . If the segment is divided into four equal parts, the coordinates of the point closest to point A are _____. (7/2, 5/2) (5/4, 7/4) (23/4, 13/4)

Answers

Line is divided into 4 equal parts.

we have to find a point which is closest to point A.

So that means required point P(x,y) is at 1 unit away from A(-1,1) and 3 unit away from B(8,4)

Now we just need to use section formula to get the coordinate of required point using m1=1 and m2=3

\left ( (m_1x_2+m_2x_1)/(m_1+m_2)  , (m_1y_2+m_2y_1)/(m_1+m_2) \right )

= \left ( (1*8+3*(-1))/(1+3)  , (1*4+3*1)/(1+3) \right )

= \left ( (8-3)/(4)  , (4+3)/(4) \right )

= \left ( (5)/(4)  , (7)/(4) \right )

So the final answer is \left ( (5)/(4)  , (7)/(4) \right ).

Answer:

ANSWER IS ( 5/4 , 7/4 ).

Step-by-step explanation: