Mathematics Middle School

Graph the function y = 2x3 – x2 – 4x + 5. To the nearest tenth, over which interval is the function decreasing?

(1, ∞)
(–∞, –0.7)
(–0.7, 1)
(–1, 0.7)

Answers

Answer 1

Answer:

Option 3 - (-0.7,1)  

Step-by-step explanation:

Given : Function  [tex]y=2x^3-x^2-4x+5[/tex]

To find : Over which interval is the function decreasing?

Solution :

First we plot the graph using graphing calculator.

Refer the attached figure below.

Now, Examining the graph

From [tex]-\infty[/tex] to (-0.667,6.63) the graph is increasing as the curve is increasing.

From (-0.667,6.63) to (1,2) the graph decreasing as the curve is decreasing.

From  (1,2) to [tex]\infty[/tex] the graph is increasing as the curve is increasing.

So, The interval in which the function is decreasing is given by (-0.667,1)

Round to nearest tenth,  (-0.7,1)

Therefore, Option 3 is correct.

Graph The Function Y = 2x3 X2 4x + 5. To The Nearest Tenth, Over Which Interval Is The Function Decreasing?(1,

Related Questions

Helppppp pleaseeeeeee fasttttt

Answers

The solution is where the two lines intersect 

The x-value is between 0 and 1

The x-value to the nearest tenth is 0.6

The y-value is between 2 and 3

The y-value to the nearest tenth is 2.2

It takes 40 min for a bus to travel the 36 miles from Framingham to Worcester. A car traveling from Worcester to Framingham moves 1.5 times as fast as the bus. If the car and the bus start moving towards each other simultaneously, after how many minutes will they meet?

Answers

First we should find the speed of the bus. v = distance / time v = 36 miles / 40 min v = 0.9 miles per minute The car move 1.5 times as fast as the bus. The speed of the car is (1.5) (0.9 mi / min) = 1.35 mi / min The combined speed of the bus and the car is 2.25 mi / min. That means that they cover a combined distance of 2.25 miles each minutes. We can find the time it takes to cover 36 miles. time = 36 miles / (2.25 miles / min) time = 16 minutes The car and the bus will meet after 16 minutes.

Pencils come in a pack of 8 for $1.12. How much is each pencil?

Answers

14 cents
Divide 1.12 by 8 to find each individual pencils value.
Each pencil is $.14. You find the unit rate by dividing the amount you paid by the number of pencils you have.
[tex]1.12 \div 8[/tex]

56.4 as a fraction in simplest form

Answers

56.4 *10 = 564

564/10 =

282/5 in simplest form

the sum of the page numbers on the facing pages of a book is 69. what are the page numbers.

Answers

Cool problem !
Two pages of a book that face each other are consecutive integers, and one of them is even and the other one is odd.
So let's look at half of 69.
That's 34.5.
So let's try page 34 and page 35.
That works !

Gary’s is a small publishing company that publishes math books. The production costs include a one-time cost for editing the book, which is $1,050 for the book the company is currently working on (The Universe of Math). Once the book is in production, the only cost will be the variable cost of printing, which is $15 per book. The company will market the book at a price of $35. If you were to plot a graph of the profit generated by this book, what would the slope and the y-intercept represent?

Answers

 $1,100 would be represented

Answer:

The y- intercept is -1,050 and the slope of the graph is 20.

Step-by-step explanation:

Consider the provided information.

The slope intercept form is:

[tex]y=mx+b[/tex]

Where m is the slope and b is the y intercept.

The production costs include a one-time cost for editing the book, which is $1,050.

We need to find the y-intercept, here the y-intercept is the one-time cost of editing the book.

As we want to plot a graph of the profit so the cost will represented as negative.

Therefore, b = -1,050

Hence, the y- intercept is -1,050.

Now again consider the provided information.

The company will market the book at a price of $35 but it is given that the cost of printing, is $15 per book.

Thus, the slope is the difference of the selling price and production cost.

Or we can say that the slope is the profit per book sold.

Slope = m = 35 - 15 = 20

Hence, the slope of the graph will be 20.

The required equation of the graph is y=20x-1050

An investment is currently worth 1.035×108 dollars . Thirty years ago, the investment was worth ​ 2.3×105 ​ dollars. How many times greater is the value of the investment today than the value of the investment thirty years ago

Answers

(1.035 * 10^8) / (2.3 * 10^5) =

0.45 * 10^3 =

4.5 * 10^2 =

450

Sofia wants to place a sticker 2 ½ inches long in the center of a switch box that is 3 ¾ inches wide. About how far from the edge will she place the sticker?

Answers

3 3/4 -2 1/2=
15/4-5/2=
15/4-5/2*2/2=
15/4-10/4=
5/4=

5/4 divided by 2 (gives you the distance from the edge if you put the sticker in the center)

5/4 / 2/1=5/8 inches from the edge

I think this is correct. Hope it helps

When 2246 is subtracted from twice a certain number, the result is 10,000. What is the number?

Answers

X=6124

2x-2246=10000
+2246 +2246
2x=12246
---- --------
2 2
X= 6124

The number is 6123.

Given,

When 2246 is subtracted from twice a certain number, the result is 10,000.

We are to find the number.

Let the number be M.

Now,

"When 2246 is subtracted from twice a certain number"

It can be written as:

2M - 2246

"the result is 10,000".

It can be written as,

2M - 2246 = 10,000

Now,

We have.

2M - 2246 = 10000

Solve for M.

2M - 2246 = 10000

2M = 10000 + 2246

2M = 12246

M = 12246 / 2

M = 6123

Thus the number is 6123.

Learn more about subtraction here:

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Use the distributive property to expand the expression. (5x + 6y) − (3z + 4)

Answers

5x + 6y - 3z - 4

the negative makes everything in the second set of parentheses negative 

5x + 6y − 3z − 4

Because


(5x + 6y) − (3z + 4)

(5x + 6y) + (−1)(3z + 4)

5x + 6y + (−1)(3z) + (−1)(4)

5x + 6y − 3z − 4

an airplane that can hold 63 passengers is separated into 3 sections .each section holds the same number of passsengers write a division sentence to corectly describe the situation

Answers

63/3=21.  That would be three rows of 21.

A batch of cookies requires 1 1/2 of sugar. How many batches can Ty make with 7 and 1/2 cups of sugar

Answers

1 1/2 = 3/2. 7 1/2 = 15/2

15/2 divided by 3/2 = 5 batches of cookies

1/9 rounded to the nearest 1/2.

Answers

Final answer:

1/9 rounded to the nearest 1/2 is 0 because it is closer to 0 than to 1/2.

Explanation:

When rounding 1/9 to the nearest 1/2, consider the fractions between 0 and 1 that are multiples of 1/2, which are 0 (or 0/2) and 1/2. Since 1/9 is closer to 0 than it is to 1/2, 1/9 rounded to the nearest 1/2 is 0. If you're trying to visualize this, picture a pie: 1/9 of a pie is a smaller slice than 1/2 of a pie.

To round a number to the nearest 1/2, you would choose the nearest fraction that is a multiple of 1/2. In this case, 1/9 is less than 1/4 (which is half of 1/2), hence it rounds down to 0, which represents no pie at all compared to half a pie.

For what value of x will 55 and x have the mean (average) as 67

Answers

if (55 + x)/2 is to be 67, then 55+x = 2*67, so x = 2*67 - 55 = 79
To calculate the mean of two numbers you add them together and divide the sum by 2.
We can set up an equation for this problem: (x+55)/2 = 67

Now we need so solve for x: (x+55) = 67x2
x+55 = 134
x = 134-55
x = 79

Hope this helps, and May the Force Be With You!

-Jabba

Three friends spent 42 hours painting a neighbor’s house. John painted 1/3 of the time, Lenny worked 3/7 of the time, and Abby painted the rest of the time. how many hours did each friend paint? What would happen If another friend joined them, and they divided the work up evenly among them, how much more, or less, would John, Lenny and Abby each have painted?

Answers

John painted for 14 hours, Lenny for 18, and Abby for 10. If another friend joined and they split the hours equally, they each would have to work for 10 1/2 hours. John would paint 3 1/2 fewer hours, Lenny would have painted 7 1/2 fewer hours, and Abby would paint 1/2 hours more.
We are told to first find the number of hours each friend worked. The question gives us that they all worked a total of 42 hours and that John worked 1/3 of the time, Lenny worked 3/7 of the time, and finally that Abby worked the rest of the time. Let's first find how long John worked. We can do this by multiply 42 by 1/3, which gives us 14. Therefore, John worked 14 hours. Now, we can find how long Lenny worked, and we can do this by multiplying 42 by 3/7, giving us 18 hours.  Hence, John and Lenny worked a total of 32 hours. That leaves 10 hours, meaning that Abby worked a total of 10 hours. The answer to the first question is that John worked 14 hours, Lenny worked 18 hours, and Abby worked 10 hours.

Now, we can move on to the second question. The second question says that another friend joined them, making 4 people total. We are given that all four people split up the work evenly, so that means we have to divide 42 by 4, giving us 10.5 hours each. The question is asking us how much more or less Abby, Lenny, and John worked when the new friend cam in. So, to find this, we need to just subtract the number of hours each of them worked, which is our answer.
John: 
14 - 10.5 = 3.5 less hours (we are subtracting from the original)
Lenny:
18 - 10.5 = 7.5 less hours (we are subtracting from the original work amount)
Abby:
10.5 - 10 = 0.5 more hours (we are subtracting from the new work amount)

Therefore, John worked 3.5 hours less than he worked before, Lenny worked 7.5 hours less than he worked before, and Abby worked 0.5 hours more than she worked when there were only three people. Hope this helped and have a phenomenal day!


Suzanne bought 50 apples at the orchard. She bought 4 times as many red then green apples. How many more red then green apples did she buy.

Answers

so you to solve this you want to divide 50 by 4

50 divided by 4 equals 12.5
so she bought 12.5 and a green apples

now we want to subtract 12.5 from 50
50-12.5=37.5

our final step is to subtract 12.5 from 37.5 to find the difference
37.5-12.5=25

she bought 25 more red apples than green apples

I hope this helps! :)

Suzanne bought 30 more red apples than green apples.

Given that Suzanne bought 50 apples, which are 4 times as many red then green apples.

We need to find how many more red apples then green apples did she buy.

To find the number of red and green apples Suzanne bought, we can set up an equation based on the information given.

Let's assume that Suzanne bought x green apples. Since she bought 4 times as many red apples as green apples, she must have bought 4x red apples.

According to the problem, Suzanne bought a total of 50 apples. So we can write the equation:

x (green apples) + 4x (red apples) = 50

Combining like terms, we have:

5x = 50

To solve for x, we divide both sides of the equation by 5:

x = 10

Now we know that Suzanne bought 10 green apples. To find the number of red apples, we can substitute this value back into our equation:

4x = 4 × 10 = 40

Suzanne bought 40 red apples.

To find the difference between the number of red and green apples, we subtract the number of green apples from the number of red apples:

40 (red apples) - 10 (green apples) = 30

Hence Suzanne bought 30 more red apples than green apples.

Learn more about Equation click;

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There are 3 islanders fans for every 11 ranger fans. what is the ratio of islander fans to total fans at the game

Answers

So a ratio would be:

variable 1 : variable 2

So in this case, variable 1 would be islander fans, and variable 2 would be total fans.

Total fans would be 3 fans + 11 fans, or 14 fans.

So, it would therefore be:

3:14.

(There would be more fans, but the ratio would still stay the same.)

Kali had some candy to give to her five children. she first took seven pieces for herself and then evenly divided the rest among her children. each child received two pieces. with how many pieces did she start with?

Answers

If it is including herself then Kali would've started with 17 pieces of candy. But if it isn't herself then she would've started with 10 pieces of candy. Hope that helps.

Elizabeth has budgeted $3,000 for food. If she decides to serve an additional side and a salad, can she choose the meal with two meats and stay within her budget?

Answers

No she could not afford the two meats along with the additional side and salad.

A tailoring shop determines that for certain dress sizes it must use 4 3/8yd of fabric that is 45 in wide. To make the same dress with fabric that is 60 in wide, it needs 3 1/4 yd. convert 4 3/8 and 3 1/4 to fraction notion.

Answers

4 3/8  =  (4*8 + 3) / 8  =  35/8

3 1/4  = (4*3 + 1) / 4  = 13/4 

A number n is multiplied by 3. The result is the same as when n is divided by 3. What is the value of n

Answers

I think n equals 9 because when you multiply 9 by 3 it is 27 and if you divide 27 by 3 you get 9.

Timothy began the week with $35. He bought lunch at school, paying $2.25 for each meal. Let x be the number of meals he bought at school and y be the amount of money he had left at the end of the week. Which equation represents the relationship in the situation?

Answers

35 - 2.25x = y Hopefully this is helpful!

A real estate agent recieved a $17,500 commision on the sale of a $350,000 house on Walnut Street. The same agent recieved a $20,000 commission on the sale of a house on Center Ave. What was the sale price of the house on Center Ave? A: $100,000 B:$370,000 C: $400,000 D: $450,000

Answers

(C) 400,000. You multiply 20,000 with 350,000 and divide by 17,500 it gives you 400,000 the answer

Answer:

Opton C: $400,000

Step-by-step explanation:

A real estate agent received a $17,500 commission on the sale of a $350,000 house.

We will calculate the percentage of the commission.

[tex]\frac{17,500}{350,000}\times 100[/tex]

= 0.05 × 100

= 5%

Let the value of the house on Center Ave be x

Therefore, 5% of x = $20,000

= 0.05x = 20,000

x = [tex]\frac{20,000}{0.05}[/tex]

x = $400,000

The sale price of the house on Center Ave is $400,000

What did the athlete order when he needed a huge helping of mashed potatoes? Unscramble the following letters: p, p, r, o, m, n, t, o, i. The answer would be a
_ ___ _______!?

Answers

i think the answer is portion 

I think it is proportion

Lines A and B are graphs of a system of equations with no solutions? Which of the following statement is NOT true?

Please explain if u can!

Answers


B. Because just because one thing is on one point doesn’t mean it’s necessary on the next point
Every point on Line A is also on Line B that's not true because the points are not always on each other

My numbers has two hundreds the tens digits is 9 more than the ones what is my number

Answers

The answer for your question is: 290

What is the greatest common factor of 8 and 52

Answers

The greatest common factor of 8 and 52 is 2.

8:   222  50:   2  55GCF:   2   

The Greatest Common factor is 2

Explain why 1.55 centimeters is a reasonable answer for the difference in the wingspans of the two butterflies

Answers

The difference is referring to subtraction, so the question was most likely something like how much longer is this butterflies wings than this ones. so 4.55 might be one of the lengths and 3 might be the other, so 4.55 - 3 is 1.55.

Chelsie saves 1/5 of her allowance and spends 2/3 of her allowance at the mall. What fraction of her allowance remains? Explain.

Answers

1-(1/5+2/3)

Get a common denominator

1-(3/15+10/15)

Add the two fractions together

1-(13/15)

Turn the 1 into a fraction

15/15-13/15

Subtract the two fractions

2/15 is how much of her allowance remains
15/15=3/15+10/15+x
2/15=x

Which equation is equivalent to 2^4x = 8^x-3

Answers

Answer:

x = -9

Step-by-step explanation:

[tex]8=2^3\\\\8^{x-3}=(2^3)^{x-3}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\8^{x-3}=2^{3(x-3)}\qquad\text{use the distribtutive property}\ a(b+c)=ab+ac\\\\8^{x-3}=2^{3x-9}\\\\\text{Therefore}\\\\2^{4x}=8^{x-3}\Rightarrow2^{4x}=2^{3x-9}\iff4x=3x-9\qquad\text{subtract}\ 3x\ \text{from both isdes}\\\\4x-3x=3x-3x-9\\\\x=-9[/tex]

Answer:2^4x = 8^x-3

Step-by-step explanation:Answer is D

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