Show that (x+1)(x+3)(x+5) can be written in the form ax^3+bx^2+cx+d where a,b and c are all positive integers, and d is a negative integer

Answer:

f(3) =16

Step-by-step explanation:

f(x) = 3x + 7

Let x= 3

f(3) = 3*3 +7

     = 9+7

      = 16

Answer: 16

Step-by-step explanation: f(x) = 3x + 7 means that if we put an x into our function, a 3x + 7 comes out.

So if we want to find f(3), we're putting a 3 into our function which means that a 3(3) + 7 comes out which simplifies to 9 + 7 or 16.

So f(3) = 16 or the value of the function at 3 equals 16.

To solve the inequality -0.2x+1.2<1.1, we subtract 1.2 from both sides and then divide by -0.2, which flips the inequality, resulting in x > 0.5.

To solve the inequality [tex]\frac{1.2}{-0.2x+1.2} < 1.1[/tex], we can follow a step-by-step process. First, we isolate the variable on one side. We'll subtract 1.2 from both sides of the inequality:

-0.2x+1.2-1.2 < 1.1-1.2

-0.2x < -0.1

Then we divide both sides by -0.2, remembering that dividing by a negative number will flip the inequality sign:

[tex]x > \frac{0.1}{0.2}[/tex]

x > 0.5

This means that for the inequality to hold true, x must be greater than 0.5. It's also important to note that by understanding the properties of inequalities and the operations performed on them, we can easily solve these mathematical statements.

Answer:(-3,2)

Step-by-step explanation:

The coordinates of the intersection point P of the diagonal CE and DH is  (-3,2)

A parallelogram is a simple quadrilateral with two pairs of parallel sides.

The vertices of the parallelogram are the corners of a polygon or the point where any two sides of the parallelogram meet

Given,

Vertices of the parallelogram CDEH= C(-5,5), D(2,5), E(-1,-1) and H(-8,-1)

Parallelogram diagonals are CE and DH

Since the diagonals of the parallelogram bisects each other, mid point of the CE and DH will be the intersecting point of diagonals

Using the mid point theorem,

Mid point of CE is,

C(-5,5) and E(-1,-1)

x= [tex]\frac{-5-1}{2}=-3[/tex]

y = [tex]\frac{5-1}{2}=2[/tex]

Mid point of the CE is (-3,2)

Hence, the coordinates of the intersection point P of the diagonal CE and DH is  (-3,2)

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It may be wrong :(

but i hope it helps

Answer:

answer is sheet cake aka B on edge

Step-by-step explanation:

Answer:you cant find the area with the numbers the problem wouldn't do that but the perimater is (34)

Step-by-step explanation:

Answer:

240 units2

Step-by-step explanation:

10*20=200 + 10*4= 40

 =240

Answer:

Step-by-step explanation:

hello :

here is an solution :

Answer:

7.5

Step-by-step explanation:

You have to divide the miles by the hours drived and then divide 60 per the miles per hour

Answer:

5.2 hours, or 5 hours 12 minutes

Step-by-step explanation:

The distance is the same in both cases.  Since distance = rate (time),

time = distance / (rate).

Here, (6 hr)(52 mph) = (time)(60 mph, or

               312 mi         = (60 mph)(time), which gives us

(time) = (312 mi) / (60 mph) = 5.2 hours, or 5 hours 12 minutes

Answer:

The population around the tower is 111,862 people.

Step-by-step explanation:

In order to solve this problem we first need to calculate the area surrounded by the tower, since it's a circle we can apply the following formula:

tower area = pi*r²

tower area = pi*(4.9)² = 75.4296 miles²

For every mile² there are 1483 people, therefore:

population = area*density

population = 75.4296*1483 = 111,862

The population around the tower is 111,862 people.

I think the answer is 26 because you have to take 32% of 80.

-Dhruva;)

Jenny was at bat 250 times.

The percentage refers to a number that is out of 100. When describing components of a whole in mathematics, percentages are employed similarly to fractions and decimals. When employing percentages, the idea is that there are 100 equal pieces that make up the whole. In addition, the sign "%" is used to indicate that a number is a percentage. In stores, online, in commercials, and in the media, percentages are nearly always present. A crucial talent that may help you save time and money and raise your employability is the ability to comprehend what percentages represent.

Given jenny hit 32% of the time when she was at bat and also she had 80 hits. let's assume she had a total of x hits. so 32% of x will be equal to 80.

From that,

32% x = 80

32*x = 80 * 100

x = 250

Hence, Last season ball jenny was at bat 250 times.

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Answer:

-3x^2+13x-5

Step-by-step explanation:

you're basically just combining the like terms

3x^2+7x-4-6x^2+6x-1

-3x^2=13x-4-1

-3x^2+13x-5

Answer: -3^2+13x-5

Step-by-step explanation:

Remove parentheses.

3x^2+7x -4 - 6x^2 +6x -1

Collect like terms.

(3x^2-6x^2) + ( 7x + 6x) + ( -4 -1)

Simplify

-3^2+13x-5

Answer:

35%

Step-by-step explanation:

65%= .65

100-.65=.35

.35=35%!

(-1,3)

you plug -1 into the equation y=2x+5 for x since that is what x is equal to and then solve it so y= -3 then your coordinates would be (1,-3)

Answer:

compounded quaterly

Step-by-step explanation:

hope this helps

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Answer:

Let's say:

AM = current amount of money = 3000

APR = interest rate  = 2.25

n = number of compounding periods

t = 5 years

Final amount of money:

FAM = AM x [1 + 2.25/n]^(n x 5) = 3000 x [1 + 2.25/n]^(n x 5)

Annual Compounding: FAM = 3000 x (1 + (2.25% / 1))^(1 x 5) = 3353.03

Quarterly Compounding: FAM = 3000 x (1 + (2.25% / 4))^(4 x 5) = 3356.16

Monthly Compounding: FAM = 3000 x (1 + (2.25% / 12))^(12 x 5) = 3356.86

Continuous Compounding: FAM = 3000 x 2.7183^(2.25% x 5) = 3357.22

=>Continuous Compounding gives largest benefit.

=> Option C is correct

Hope this helps!

:)

Answer:

F(n) = 2n – 2

Step-by-step explanation:

The sequence 0, 2, 4, 6

First, let us determine if the sequence is arithmetic progression (A.P) or geometric progression (G.P)

This is illustrated:

Let us calculate the common difference (d)

Common difference (d) = 2nd term – first term

Common difference (d) = 3rd term – 2nd term

=> 2 – 0 = 2

=> 4 – 2 = 2

The common difference (d) = 2.

Common ratio (r) = 2nd term /1st term

Common ratio (r) = 3rd term /2nd term

=> 2/0 = undefined

=> 4/2 = 2

There is no common ratio.

Since we have a common difference, therefore the sequence is arithmetic progression.

Now, let us obtain an expression for the sequence.

This can be obtained by using the arithmetic progression formula as shown below:

F(n) = a + (n – 1)d

a is the first term

n is the number of term

d is the common difference.

The sequence 0, 2, 4, 6

The first term (a) = 0

Common difference (d) = 2

F(n) = a + (n – 1)d

F(n) = 0 + (n – 1)2

F(n) = 2n – 2

Answer:

15/-7

Step-by-step explanation:

slope is y(2) - y(1) / x(2) - x(1)

120-0/0-56

120/-56

simplified

The slope from point A to point B is found by dividing the rise by the run. With a rise of -120 and a run of 56, the slope is approximately -2.14, indicating a downward slope from A to B.

To find the slope from point A to point B, we can use the formula slope = rise/run. In this scenario, point A is at (0, 120) and point B is at (56, 0).

First, determine the rise, which is the change in the y-coordinates (vertical change). The rise is 0 - 120 = -120.

Next, determine the run, which is the change in the x-coordinates (horizontal change). The run is 56 - 0 = 56.

Now, we can calculate the slope: slope = rise/run = -120/56 = -2.14

Answer:

a. 43.96 feet

b.153.86 square feet

Step-by-step explanation:

Hi, the path through the middle of the circular garden is the diameter.

Since the diameter is equal to:

Diameter = 2 radius (r)

Solving for r

14 =2r

14/2 = r

r = 7 feet

The distance around the outside of this garden is the perimeter.

Perimeter of a circle (P) = 2 π r

Replacing with the values given:

P = 2 (3.14) 7 = 43.96 feet

b. area of the circle-

Area of a circle (A)= π r²

Replacing with the values given:

A = 3.14 (7²) =153.86 square feet

Answer:

Answer choice C

Step-by-step explanation:

Since a rectangle has two dimensions and both side lengths of rectangle B are 4 times smaller, the area is 4*4=16 times smaller. 2592/16=162 square units, or answer choice C. Hope this helps!

Answer:

suppose the number of 2 hours lessons are x and 1 hour lessons are y; thus,

2x+y=25

50x+30y=690

to get the values of x and y we solve the quadratic equation given;

from the top equation:

y=25-2x.......i

substituting i in our second equation we get:

50x+30(25-2x)=690

50x+750-60x=690

-10x=-60

thus;

x=6

hence we conclude that the number of 2 hours classes are 6 hours

Step-by-step explanation:

The expression representing the total charge for x hours of piano lessons is $20.25 + $5.25x, and for 15 hours, the total charge would be $99.

The correct expression to represent the total charge for a student who takes x hours of piano lessons in a month at $20.25 per month and $5.25 per hour is $20.25 + $5.25x. To calculate the amount the instructor would charge for 15 hours of lessons, we substitute x with 15:

Total charge for 15 hours = $20.25 + $5.25(15) = $20.25 + $78.75 = $99.

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Answer:95units2

Step-by-step explanation:

1/2x7x5+5x5=95

Answer:

25+4x=53 is the equation you would need to determine how many times she went after hours.

Step-by-step explanation:

if you also need to know how many times she went after hours. she went 7 times so x=7

please give brainliest if this helps

Answer:

2nd choice: x = -2 or x= 3/5

Step-by-step explanation:

5x² + 7x = 6

We can solve.

5xx + 7x - 6 = 0

try the diamond method first

-30 = 5*-6....   -3*10 = -30  and  -3x + 10x = 7x

So...

5xx - 3x  + 10x  - 6 = 0

x(5x - 3) + 2(5x - 3)  = 0

(x +2)(5x - 3) = 0

roots  x = -2  and x = +3/5

Answer:

The correct answer is x=-2 or x=3/5. I found this answer by using an app called Photomath, you should download it. it really helped me :)

For the inequality t < -1, the numbers that are solutions to this inequality are -2, -3, and -10, as they are all less than -1.\

The inequality in question is t < -1, which indicates that the temperature (t) is colder than -1 degrees Fahrenheit. On a number line from -2 to +2, the numbers that satisfy this inequality would be all the numbers that are less than -1. Therefore, the solutions to the inequality would be the numbers that are to the left of -1 on the number line.

-2

-3

-10

The numbers 0, 1, and -1 do not satisfy the inequality because they are not less than -1.

Let C represent number of CDs and D represent number of DVDs.

We have been that The Blast Off Music Company can make a total of 500 CDs and DVDs each day. We can represent this information in an equation as:

[tex]C+D=500...(1)[/tex]

[tex]C=500-D...(1)[/tex]

We are also told that it costs $8 to make each CD, so cost of C, CDs would be [tex]8C[/tex].

It costs $10 to make each DVD, so cost of D, DVDs would be [tex]10D[/tex].

We have been given that the company can spend $4800 for  production costs each day. This means that cost of C CDs and D DVDs will be equal to 4800. We can represent this information in an equation as:

[tex]8C+10D=4800...(2)[/tex]

Upon substituting equation (1) in equation (2), we will get:

[tex]8(500-D)+10D=4800[/tex]

[tex]4000-8D+10D=4800[/tex]

[tex]4000+2D=4800[/tex]

[tex]4000-4000+2D=4800-4000[/tex]

[tex]2D=800[/tex]

[tex]\frac{2D}{2}=\frac{800}{2}[/tex]

[tex]D=400[/tex]

Therefore, the company can make 400 DVDs in one day.

Upon substituting [tex]D=400[/tex] in equation (1), we will get:

[tex]C=500-D \Rightarrow 500-400=100[/tex]

Therefore, the company can make 100 CDs in one day.

Answer:

(x-8) (x-4)

Step-by-step explanation:

x^2 -12x +32

What two numbers multiply to 32 and add to -12

-8*-4 = 32

-8-4 = -12

(x-8) (x-4)

Answer:

(x - 4)

Step-by-step explanation:

x² - 12x + 32

x² - 8x - 4x + 32

x(x - 8) - 4(x - 8)

(x - 8)(x - 4)

So the right answer is 20.

Look at the attached picture⤴

Hope it will help u...

Answer:

20 is the answer

Step-by-step explanation:

17+24+26+13=80

80 divided by how many numbers are in the data set so, 80 divided by 4 is 20.

    Hoped this works!

Answer:

8[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Actually, when you look at it, it' very simple.

So as you kno triangles always = 180

That makes this way easier when you think about it

Let's add the angels together

90+45= 135

Now we need to find the value of the missing angle

180-135= 45

So 45 is the missing angle

Since m∠C≈m∠B he side length (AB) is also 8

Now we can find the length of the hypotenuse

[tex]\sqrt{a^2 +b^2}[/tex]

a and b are the side lengths so just plug them in

[tex]\sqrt{8^2 + 8^2}[/tex]

Now you solve

Exact Form: 8[tex]\sqrt{2}[/tex]

Decimal Form: 11.31

Answer:

vertical stretch of 2, horizontal compression to a period of StartFraction pi Over 2 EndFraction, phase shift of Pi units to the right, vertical shift of 1 unit down

Step-by-step explanation:

If you stretch cosine function by a factor of 2, maximum will be y = 2 and minimum will be y = -2, and after that you shift it 1 unit down maximum will be y = 1 and minimum will be y = -3

Answer:

vertical stretch of 2, horizontal compression to a period of StartFraction pi Over 2 EndFraction, phase shift of Pi units to the right, vertical shift of 1 unit down

Step-by-step explanation:

Answer:

£310500

Step-by-step explanation:

3% of 270000=8100

difference between 2020 and 2015=5 years

8100×5=40500

40500+270000=310500

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