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3 years ago

In factoring by grouping, what would you have for step 3 for the following?

Mathematics

2 answers:

MA_775_DIABLO [31]3 years ago

8 0

Answer:

Factor out the x+5

(x+5)(x^2+4)

Step-by-step explanation:

Step 1: x^3 +5x^2 +4x+20

Step 2: x^2 (x+5)+4(x+5)

Step 3: Factor out the x+5

(x+5)(x^2+4)

solong [7]3 years ago

6 0

Answer:

Step 3: (x^2 + 4)(x + 5)

Step-by-step explanation:

Step 1: x^3 +5x^2 + 4x+20

Step 2: x^2 (x+5) + 4(x+5)

Step 3: (x^2 + 4)(x + 5)

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You are pulling a block from a bag containing 4 red 3 blue 2 green or 1 orange blocks. What is the probability that you draw a r

hoa [83]

Answer:

Step-by-step explanation:

3/5

6 0

3 years ago

PLZ I NEED HELP BUT PLZ EXPLAIN WHEN YOU ANSWER

Natalija [7]

Answer:

Step-by-step explanation:

Let's convert this statement into a system of two equations

3 * (cost of a liter of milk) + 5 * (cost of a loaf of bread) = $11

4 * (cost of a liter of milk) + 5 * (cost of a loaf of bread) = $10

cost of a liter of milk = x

cost of a loaf of bread = y

3x + 5y = 11

4x + 4y = 10

You can now solve this using either substitution or elimination

I'll use elimination. Let's say I want to get rid of the x first. I need to choose numbers to multiply by the top and bottom equations to eliminat the x's. The easiest way to do this is to multiply them by each other. So we'll multiply the top by 4 and the bottom by 3. We'll need to make sure the signs are opposite as well so I'll make that a negative 3 on the bottom.

4 * (3x + 5y = 11)

-3 * (4x + 4y = 10)

12x + 20y = 44

-12x - 12y = -30

Now add straight down

0x + 8y = 14

8y = 14

y = 14/8 = $1.75

Now we can plug this back in to either equation to find the x. I'll choose the second equation

4x + 4*(1.75) = 10

4x + 7 = 10

4x = 3

x = 3/4 = $0.75

So, cost of a liter of milk = x = $0.75

and cost of a loaf of bread = y = $1.75

3 0

3 years ago

Read 2 more answers

A rookie quarterback throws a football with an initial upward velocity component of 12.0 m>s and a horizontal velocity compon

natka813 [3]

Draw a diagram to illustrate the problem as shown below.

The ball is thrown from A, rises to a maximum height at B, and returns to the original level at C.
Given:
v = 12.0 m/s, vertical component of launch velocity
u = 20 m/s, horizontal component of launch velocity.
Note that g = 9.8 m/s², the acceleration due to gravity.
Wind resistance is ignored.

Part a.
The time, t, required to reach B from A is given by
0 = 12 - 9.8t
t = 12/9.8 = 1.2245 s

Answer: The time is 1.225 s (nearest thousandth)

Part b.
The height attained is
h = 12*1.2245 - 05*9.8*1.2245²
= 7.347 m

Answer: The height attained is 7.35 m (nearest hundredth) above A.

Part c.
When the ball returns the level of point A or C at time t,
0 = 12t - 0.5*9.8t²
t(12 - 4.9t) = 0
t = 0 (point A), or
t = 4.9/2 = 2.45 s (point C)
Notice that 2.45/2 = 1.225 s, which is equal to the time to reach B from A.

Answer:
The time taken to travel from A to C is 2.45 s.
This time is twice the time taken to travel from A to B.

Part d.
The horizontal distance traveled from A to C is
d = 20*2.45 = 49 m

Answer: 49 m

Part e.
x(t) = 20t for horizontal travel
y(t) = 12t - 4.9t² for vertical travel
vy(t) = 12 - 9.8t for vertical velocity
vx(t) = 20 for horizontal velocity.
Graphs of x-t, y-t, vx-t, vy-t are shown below.