2. When a < b, how is the graph of x > a and x < b
similar to the graph of x > a? How is it different?

Answers

Answer 1
Answer:

Answer:

• If the equations of a and b are polynomials,it'll be a curve between a and b [ b<x<a]

• If the equations of a and b are linear,it'll be a line between a and b

{ \rm{x > a \:  \: and \:  \: x < b}} \n  \n { \boxed{ \rm{ \: b < x < a \: }}}


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Write the partial fraction decomposition of the rational expression. Check your result algebraically.
Manufactured bolts can’t be too long or too short or they might not fit where they need to. Help determine which bolts will work and which won’t. Show your work for all steps.A machine makes bolts that are 12 mm long. The bolts are considered acceptable if they are within 0.2 mm of 12 mm. 
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hugo sells handmade key chains online. Yesterday he made 6 keychains in 30minutes. hugo wants to make 9 keychains today . if hugo works at the same rate today how long will it take him to make the keychains

Answers

Answer:

45 minutes, hope this helps

Step-by-step explanation:

Answer:

45 minutes.

Step-by-step explanation:

Set up a ratio.

6 keychains: 30 minutes

divide both sides of the ratio by 6

1 keychain: 5 minutes

multiply both sides of the ratio by 9

9 keychains: 45 minutes

It will take him 45 minutes.

Find the product (-2)(3)

Answers

Answer:

- 6

Step-by-step explanation:

Step 1:

( - 2 ) ( 3 )       Equation

Step 2:

- 2 × 3        Open Parenthesis

Answer:

- 6      Multiply

Hope This Helps :)

Answer:

Multiply -2 with 3

Step-by-step explanation:

Find the z-score for the standard normal distribution where: P (z< -a) = 0.2451

Answers

\mathbb P(Z<-a)=0.2451\implies -a\approx-0.69\implies a\approx0.69

2. Use the graph of y=-x2 - 2x + 3 to solvethe equation –X2 - 2x + 3-0. What are
the solutions?
A 4
B -1 and 4
C 1 and -3

Answers

Answer:

1 and -3

Step-by-step explanation:

The values of the graph is where the graph intersect at the line x

Which is 1 and -3

How do I write an equation for line l in point-slope and slope-intercept form? L is parallel to y=3x

Answers

The required point-slope and slope-intercept form of the line is y + 3 = 3 (x - 4) and y = 3x - 15 respectively.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
Given line = y = 3x
The slope of the above line is,
m = 3
Line L parallel to line y = 3 x
so the slope of both lines will be the same,
Now,
The equation line passes through the point (4, -3),
Point slope form of the line,
y - y₁  = m (x - x₁)
y + 3 = 3 (x - 4)
y =3x - 12 -3
y = 3x - 15

Thus, the required point-slope and slope-intercept form of the line is y + 3 = 3 (x - 4) and y = 3x - 15 respectively.

 

Learn more about slopes here:
brainly.com/question/3605446

#SPJ2


Answer: y+4=3(x-2)

slope intercept form : y=3x-10

Step-by-step explanation:

Suppose you have 18 objects (10 of type A, 5 of type B, and 3 of type C). Objects of type A are indistinguishable from each other; objects of type B are indistinguishable from each other; and objects of type C are indistinguishable from each other. In how many ways can you Pick 5 of the 18 objects (order does not matter)

Answers

Answer:

\binom{18}{5}= 8568

Step-by-step explanation:

Note that we have in total 18 items. Even though we are given information regarding the amounts of items per type, the general question asks the total number of ways in which you can pick 5 out of the 18 objects, without any restriction on the type of chosen items. Therefore, the information regarding the type is unnecessary to solve the problem.

Recall that given n elements, the different ways of choosing k elements out of n is given by the binomial coefficient \binom{n}{k}).

Therefore, in this case the total number of ways is just \binom{18}{5}=8568

Answer:

Given:

Number of objects: n = 18

Type A objects: 10

Type B objects: 5

Type C objects: 3

To find:

In how many ways can you Pick 5 of the 18 objects (order does not matter)

Step-by-step explanation:

When the order does not matter we use Combination.

Formula to calculate combination:

C(n,r) = n! / r! ( n - r )!

n = 18

r = 5

Putting the values:

C(n,r)

= C(18,5)

= 18! / 5! ( 18 - 5 )!

= 18! / 5! ( 13 )!

= ( 18 * 17 * 16 * 15 * 14 * 13 * 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 ) / ( 5 * 4 * 3 * 2 * 1 ) * (13 * 12 * 11 * 10 *9* 8 * 7 *6 * 5 * 4 * 3 * 2 *1 )

Cancel 13!

= (18 * 17 * 16 * 15 * 14 ) / ( 5 * 4 * 3 * 2 * 1 )

= 1028160 / 120

= 8568

So you can pick 5 of the 18 objects in 8568 ways.