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2 months ago

**Step-by-step explanation:**

by using y=uv derivative formula and stationary mean y' = 0

y' = 3(x–2)⁴ + 3(3x–1)(x–2)³ = 0

cancel 3 and factorize

(x–2+3x–1)(x–2)³ = 0

x = ¾ or x = 2

we got point and (2,0)

Question

A store sells second-hand goods at 40% off the recommended retail price. For a lawn mower
valued at $369:
a What is the selling price?

Solution 1

**Answer:**

$221.4

**Step-by-step explanation:**

So there are two ways that you can solve this problem.

1) multiply $369 by 40% (or .4) to get 147.6 and then subtract 369-147.6=$221.4

2) multiply $369 by 60% (or .6) to get $221.4

Solution 2

**Answer:**

The selling price is $221.40

**Step-by-step explanation:**

So you first want to find what is 40% of the retail price ($369). So divide by 10 to get 10% ($36.90) and then multiply by 4 to get 40% ($147.60). Now that you have 40% subtract that by the retail price. $369 - $147.60= $221.40

Question

Tyler tried to solve an equation step by step. 3(x + 4) = -18
3.2 + 12 = -18
Step 1
3x = -30
Step 2
x = -10
Step 3
Find Tyler's mistake.

Solution 1

**Answer:**

**Step-by-step explanation:**

he llo :

3(x + 4) = -18

divid by 3 : x+4 = -6

x+4-4 = -6-4

x = -10

Question

Madison and Allie have a goal to read 3,300 pages together by the end of 3rd quarter. Madison reads 50 page every day Allie reads 10 more pages every day than madison reads. Write and solve an equation to show how many days it will take them to read 3,300 pages

Solution 1

**Answer:**

**It will take Madison and Allie 30 days to read 3,300 pages**

**Step-by-step explanation:**

**1. Let's review the information given to us to answer the question correctly:**

Number of pages Madison reads every day = 50

Number of pages Allie reads every day = 60 (10 more pages every day than Madison reads)

**2. Write and solve an equation to show how many days it will take them to read 3,300 pages.**

Number of days it will take Madison and Allie to read 3,300 pages = x

**Writing and solving the equation:**

50x + 60x = 3,300

110x = 3,300

x = 3,300/110

x = 30

**It will take Madison and Allie 30 days to read 3,300 pages**

Question

What is the simplified form of the fifth root of x times the fifth root of x times the fifth root of x times the fifth root of x ?

Solution 1

**Answer:**

**Step-by-step explanation:**

The fifth root of x =

We have to multiply itself by 4 times.

Therefore,

=

When we multiply =

It can be read as " fifth root of x to the power 4".

Question

On the graph of f(x) = sin x and the interval (-2pi,0), for what value of x does f(x) achieve a minimum? Choose all answers that apply.

Solution 1

**Answer:**

x = -pi/2

**Step-by-step explanation:**

hello :

f(x)=sin x x⋲(-2pi,0)

the derivate for f is : f'(x) = cosx

f(x) achieve a minimum when : f'(x) =0

cosx = 0 genral solution is :

x = pi/2 +kpi .. k in Z

but : x⋲(-2pi,0) so : x = -pi/2.....(k = -1)

Question

What is the value of x in the equation below?
1+2eX+1 = 9

Solution 1

**The value of x is 1.252762968495368**

**Solution:**

Given that,

We have to find the value of x in given equation

**Given equation is:**

Simplify the left side of equation

Move 2 from left side to right side of equation

Therefore,

**Taking ln on both sides**

ln and e cancels each other each other

Therefore,

x = 1.252762968495368

Thus the value of x is found

Solution 2

**Answer:**

the answer is x=27 hope that helps :)

**Step-by-step explanation:**

Question

P ^ q is true, and p is true.
q is _____.
true
false

Solution 1

**Answer:**

It is True.

**Step-by-step explanation:**

If the statement p^q is true then it mean both have to be true in order for the statement to be true.

Question

How do you write 0.7 as a percentage

Solution 1

**Answer:**

70%

**Step-by-step explanation:**

Question

Jack earned $60.84 for working 12 hours during the week. how much did he earn per hour

Solution 1

Answer: You can do 60.84 divided by 4 and there's your answer.

Step-by-step explanation:

Solution 2

The answer to this question is 5.07 dollars

Question

Identifying the Number of Solutions Examine the system of equations
-2x + 3y = 6
4x + y = 12
Answer the questions to determine the number of
solutions to the system of equations.
What is the slope of the first line?
What is the slope of the second line?
What is the y-intercept of the first line?
What is the y-intercept of the second line?
How many solutions does the system have?

Solution 1

**Answer: 2/3, 2/3, 2, 2, Infinite**

E**xplanation: I just finished the assignment **

Solution 2

**Answer:**

- 2/3
- -4
- 2
- 12
- 1

**Step-by-step explanation:**

For the line ax+by=c, solving for y gives ...

y = (-a/b)x +c/b

The slope in this slope-intercept form is the coefficient of x, -a/b. The y-intercept is c/b.

**a)** For the first line, the slope is ...

-a/b = -(-2)/3 = **2/3**

__

**b)** For the second line, the slope is ...

-a/b = -4/1 = **-4**

__

**c)** The y-intercept of the first line is ...

c/b = 6/3 = **2**

__

**d)** The y-intercept of the second line is ...

c/b = 12/1 = **12**

__

**e)** The slopes of the lines are different, so there is **one (1) solution**.

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