Find the common factor of all the terms of the polynomial below

49y^3-7y^2+14y

Answers

Answer 1
Answer: 49y^3-7y^2+14y

= 7y(7y^2 - y + 2)
Answer 2
Answer: 49y^3-7y^2+14y
= 7y (7y^2 - y + 2)

Common factor is 7y

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Draw and label line AB. Draw point C on it

Answers

To draw line AB with point C on it, draw a line segment AB by using a compass draw one point on the line and label the dot C.

Draw a line segment and label its endpoints with the letters A and B. You are then asked to draw a point on the line segment and label it with the letter C.

Here is a step-by-step guide on how to draw point C on line AB:

1. Draw a straight line segment using a ruler.

2. Label the endpoints of the line segment with the letters A and B.

3. Place the compass point at point A and draw an arc that intersects line AB.

4. Without changing the compass radius, place the compass point at point B and draw an arc that intersects the first arc.

5. Label the point of intersection point C.

For similar question on line segment

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a                                     b
                  c 
this your answer don't  look at the line  with c 

For a standard normal distribution, which of the following expressions must always be equal to 1?A) P(z≤-a)-P(-a≤z≤a)+P(z≥a)
B) P(z≤-a)-P(-a≤z≤a)+P(z≥a)
C) P(z≤-a)+P(-a≤z≤a)-P(z≥a)
D) P(z≤-a)+P(-a≤z≤a)+P(Z≥a)

Answers

P(z ≤ -a) + P(-a ≤ z ≤ a) + P(z ≥ a) = 1 - P(z ≤ a) + [P(z ≤ a) - P(z ≤ -a)] + 1 - P(z ≤ a) = 2 - 2P(z ≤ a) + P(z ≤ a) - [1 - P(z ≤ a)] = 2 - P(z ≤ a) - 1 + P(z ≤ a) = 1

Therefore, option D is the correct answer.

Answer:

D. P(z\le -a)+P(-a\le z\le a)+P(z\ge a)

Step-by-step explanation:

Properties of normal distribution-

  1. The normal curve is symmetrical about the mean (μ).
  2. The mean is at the middle of the graph and it divides the area into two equal halves.
  3. The total area under the curve is equal to 1.

The total area under the curve can be divided into parts like,

  1. area below -a, i.e z\le -a,
  2. area between -a to a, i.e -a\le z\le a
  3. area above a, i.e z\ge a

Therefore, P(z\le -a)+P(-a\le z\le a)+P(z\ge a)=1

Please help me I'm desperate.

Answers

D:4x-1>0 \wedge x+2 >0 \wedge x>0\nD:4x>1 \wedge x>-2 \wedge x>0\nD:x>(1)/(4) \wedge x>0\nD:x>(1)/(4)\n\n\log(4x-1)-\log(x+2)=\log x\n\log(4x-1)/(x+2)=\log x\n(4x-1)/(x+2)=x\nx(x+2)=4x-1\nx^2+2x=4x-1\nx^2-2x+1=0\n(x-1)^2=0\n\boxed{x=1}
\log (4x - 1) - \log (x + 2) = \log x
\log ( (4x - 1)/(x + 2) ) = \log x
(4x - 1)/(x + 2)  = x
4x - 1 = x(x + 2)
4x - 1 = x^2 + 2x
0 = x^2 - 2x + 1
0 = (x - 1)^2
⇒ x = 1

A(n) ________ is a shorthand notation for repeated multiplication of the same factor.

Answers


An exponent is a shorthand notation for repeated multiplication of the same factor. For instance 54 means 5*5*5*=625.
An exponent is I believe

What is the length of the diagonal, d, of the rectangular prism shown below?

Answers

Answer:

d = 10√10 ≈ 31.62

Please give me brainly, somone in my family is a mathmatition...

Answer:

d = 10√10 ≈ 31.62

Step-by-step explanation:

d = √l²+w²+h²

d = √5²+8²+2²

d = √25+81+4

d = √110

d = 10*√10

Alana bought some cans of paint and 1/2 of a liter of special paint additive formulated to reduce mildew. Before painting her house, she used all of the additive to put 1/8 of a liter of additive in each can. How many cans of paint did Alana buy?

Answers

Answer:

Alana bought 4 cans of paint additive

Step-by-step explanation:

Proportions

If a proportional amount of x is to be distributed between y elements, each one of them gets x/y portions.

For example, if we have 100 coins and distribute evenly between 20 boxes, each box will receive 100/20=5 coins.

Alana bought 1/2 of a liter of the special paint additive and evenly distributed it between an unknown number of cans, let's call it C. We also know each can received 1/8 of a liter of the additive. That is the proportion of the 1/2 liter of additive.

We can establish the following condition:

\displaystyle (1/2)/(x)=(1)/(8)

Solving for x:

\displaystyle (1/2)/((1)/(8))=x

Transform the division into a product:

\displaystyle x=(1)/(2)\cdot(8)/(1)=4

Alana bought 4 cans of paint additive