What is the constant term in (2x+9)(x-4)(x+5)

Answers

Answer 1

Answer:

[tex]-180[/tex]

Step-by-step explanation:

[tex]\left(2x+9\right)\left(x-4\right)\left(x+5\right)[/tex]

[tex]\left(2x^2+x-36\right)\left(x+5\right)[/tex]

[tex]2x^3+11x^2-31x-180[/tex]

Answer 2

Answer:

-180

Step-by-step explanation:

(2x+9)(x-4)(x+5)

The constant term is

9*-4*5

-180


Related Questions

find the number missing from the following equivalent fractions: 9/15= ?/60

Answers

to get the equivalent fraction you have to find the common denominator. in this case 60 divided by 15 which would equal to 4. The you would multiply 9 by 4 to get the answer which would be 36. the final answer would be 9/15=36/60

Answer:

36/60

Step-by-step explanation:

Divide the larger denominator with the smaller denominator.

60/15 = 4

Use this number and multiply this to the numerator to get the unknown.

4*9=36

What is the average rate of change from x = −1 to x = −2?

Answers

Answer:

Step-by-step explanation:

this graph is probably : 2(x+1)^(2)+5:

it was transformed :

vertically stretched by a factor of 2

left 1 unit

up 5 units

from the graph, we can see that the points are (-1, 5) and (-2, 7)

m=(y2-y1)/(x2-x1)

m=(7-5)/(-2-(-1))

m=2/-1

m=-2

the scale on a map is 1 cm : 7km. if two cities are 15 cm apart of the map, what is the actual distance between the cities?​

Answers

Answer:

x = 105 km

Step-by-step explanation:

We can use ratios to solve

1 cm               15 cm

------------ = ------------

7 km            x km

Using cross products

1 * x = 7 * 15

x = 105 km

Answer:

[tex]105km[/tex]

c

Step-by-step explanation:

[tex]1cm = > 7km \\ 1cm = > 700000[/tex]

[tex]1 : 70000[/tex]

[tex]1cm = > 700000cm \\ 15cm = > x[/tex]

[tex] \: 1 \: \: \: : 700000 \\ 15 : x[/tex]

Use cross multiply

[tex] \\ 1x = 15 \times 700000 \\ x = 10,500,000 \\ [/tex]

so,

[tex]1cm = > 700000cm \\ 15cm = > 10,500,000 cm[/tex]

[tex]15cm = 10,500m \\ 15cm = 105km[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

solve the following simultaneous linear+y=3and3x-y=1​

Answers

Answer:

x=  4/3 and y=3

HELP PLEASE WITH THE IMAGE BELOW it would mean a lot if someone helped me answer this question and maybe even explain how you got it.

Answers

Answer:

65/97 = 0.67

Step-by-step explanation:

using trigonometric ratios

Cosine of angle = [tex]\frac{adj}{hyp}[/tex]

The distance between Joshua's home and school is 800 m. Joshua takes 5 min to walk
the first 100 m to a Convenient Store nearby. He would spend 10 min in the store to
complete his purchase. Finally, he takes another 20 min to reach school. What is his
average speed in m/s?

Answers

Answer:

= 0.38 m/s

Step-by-step explanation:

▪Total distance = 800 m

5 min = 100 m

▪Remaining distance = 800 - 100 = 700 m

20 min = 700 m

▪Total time taken = 20 + 10 + 5 = 35 min

If 1 min = 60 sec

What about 35 min = ?

= 35 x 60

= 2100 sec

▪Average speed = TD ÷ TT

= 800 ÷ 2100

= 0.38 m/s

What is the surface area of a sphere with the given dimension? Express your answer to nearest hundredth. Use 3.14 for pi.
Radius = 5cm.
a. 982 sq. cm
C. 314 sq.cm
b. 1481.34 sq.cm
d. 628 sq. cm

Answers

Answer:

314cm²

Step-by-step explanation:

Surface area(sphere) =4πr²

4 * 3.14 * (5²)

4 * 3.14 * 25

Hence, Surface area is 314sq.cm

The best answer is C 314 sq.cm because that is the use of pi

Which expression has the least value?
A. 3(33)
B. 0 31-33)
C. 0-31-33)
D. 3(3-3)

Answers

Answer:

I think it is C but can't be sure because B isn't clear.

Step-by-step explanation:

The units of the subway map below are in miles. Suppose the routes between stations are straight, find the distance you would travel between the Jackson and Symphony stations.Write your answer to the nearest tenth of a mile.

Answers

Answer:

Distance between Jackson and Symphony stations is 2.2 miles.

Step-by-step explanation:

From the given map,

Location of two stations can be represented by the ordered pairs Jackson(2, 4) and Symphony(1, 2)

Every unit of the map represents the distance of 1 mile.

Distance between two points is measured by the formula,

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

Therefore, distance between the given stations will be,

d = [tex]\sqrt{(2-1)^2+(4-2)^2}[/tex]

  = [tex]\sqrt{1+4}[/tex]

  = [tex]\sqrt{5}[/tex]

  = 2.236

  ≈ 2.2 miles

Distance between Jackson and Symphony stations is 2.2 miles.

Can someone pls help me with this?

Answers

communicative Property: (5+7) +3

Associative prop: (3+5) +7 or (3+7) +5

And the last one, I don’t fully understand what it is asking, but I believe it is asking for the answer which would be 15

Cuál es el menor número entero que, disminuido en 8, resulta menor que su triple

Answers

Answer:

-3

Step-by-step explanation:

     Let x = the number

Then 3x = its triple, and the condition is:

x - 8 < 3x

Subtract x from each side

-8 < 2x

Divide each side by 2

-4 < x

Reverse the inequality

x > -4

The smallest integer greater than -4 is -3.

Check:

-3 - 8 < 3(-3)

-11 < -9

It checks.

 

Help im still lazy lol

Answers

Answer:

t= -105

Step-by-step explanation:

To solve the equation, we want to find out what t is. In order to do this, we have to get t by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

-1/15t=7

t is being multiplied by -1/15. The opposite of multiplication is division. Divide both sides by -1/15.

-1/15t/-1/15=7/ -1/15

t=7/ -1/15

Instead of dividing a number by a fraction, you can multiply the number by the reciprocal of the fraction.

To find the reciprocal, flip the numerator (top number) and denominator (bottom number).

-1/15--flip--> -15/1=-15

Substitute -15 in for -1/15, and switch the division sign to a multiplication sign.

t= 7* -15

t=-105

Let's check out solution. Plug -105 back in for t in the original equation.

-1/15t=7

-1/15*-105=7

7=7

Both sides are the same, so we know that t=-105.

Answer:

t=-105

Step-by-step explanation:

[tex]-\frac{1}{15} t =7[/tex]

What we need to do here is to isolate t.

Let's multiply both sides by -15.

[tex]-\frac{1}{15}t * -15 = 1t[/tex]

7*-15= -105

t=-105

Which of the following is most likely to be a relative minimum for this graph?

Answers

Answer: A (3, -4)

Step-by-step explanation:

A minimum is at the lowest point on the parabola. The minimum and maximum can be seen by looking at the vertex.

If you go right 3 spaces on the x-axis horizontally, then down 4 spaces vertically on the y-axis you get (3, -4).

4 is negative because you are going down below the x-axis.

Which expression has a positive value?
Negative 4 + (negative 5) (negative 6) divided by (negative 3)
8 Left-bracket 10 divided by (2) (negative 2) Right-bracket
3 (negative 64 divided by 8) + 25
Negative 2 (negative 5) (negative 3) divided by 10

Answers

Answer:

3 (negative 64 divided by 8) + 25 = 1

Step-by-step explanation:

Negative 4 + (negative 5) (negative 6) divided by (negative 3) = -4 + (-5)(-6)/(-3) = -4 + 30/-3 = -4 - 10 = -14

8 Left-bracket 10 divided by (2) (negative 2) Right-bracket = 8(10/((2)(-2)) = -20

3 (negative 64 divided by 8) + 25 = 3(-64/8) + 25 = 3(-8) + 25 = -24 + 25 = 1

Negative 2 (negative 5) (negative 3) divided by 10 = (-2)(-5)(-3)/10 = -3

The only positive value here is 1, which is a result of 3 (negative 64 divided by 8) + 25

Answer:

C

Step-by-step explanation:

i took the test

What is the value of x?

Answers

Answer:

x = 20

Step-by-step explanation:

The angles are vertical angles and we know that vertical angles are equal

x+40 = 3x

Subtract x from each side

x+40-x = 3x-x

40 = 2x

Divide each side by 2

40/2 = 2x/2

20 =x

Answer:

The value of [tex]x[/tex]:

[tex]x = 20[/tex]

Step-by-step explanation:

-Since, one angle with the measure [tex]x + 40[/tex] and another angle with measure [tex]3x[/tex] are vertical angles, they equal each other. So, it will be written as:

[tex]x + 40 = 3x[/tex]

-After you have formed an equation, you switch the equation and you solve for the value of [tex]x[/tex]:

[tex]x + 40 = 3x[/tex]

[tex]x - x + 40 = 3x -x[/tex]

[tex]40 = 2x[/tex]

[tex]\frac{40}{2} = \frac{2x}{2}[/tex]

[tex]20 = x[/tex]

So, the final answer is [tex]20 = x[/tex] or [tex]x = 20[/tex] (They are both the same, you just switch them).

the two-way table shows the attendant careers among the incoming class of first-year college students, divided by gender. If a female student is chosen at random, what is the probability that she intends to be a research scientist?​

Answers

Answer: 4.64%

[tex]\dfrac{\text{female research scientist}}{\text{female total}}=\dfrac{103}{2219}=0.0464\quad =\large\boxed{4.64\%}[/tex]

What is the leading coefficient of the polynomial f(x)f(x) defined below? f(x)=−3x^4−10x^3

Answers

Answer:

9x^8

Step-by-step explanation:

f(x) is a binomial.  Multiplying a binomial by itself results in a trinomial.  In this problem we need ONLY to specify what the leading coefficient (coefficient of this trinomial product) is.

Here this is obtained by squaring the coefficient −3x^4.  We get"

(-3)^2*(x^4)^2  =  9x^8

If a student with 2 absences got a score of 12 what would be the score for a student who had 3 absences

Answers

The score of the person with 3 absences will be 10

What is the decay factor in y = 760(0.75)3?

Answers

Answer:

Decay factor is 0.75.

Step-by-step explanation:

The given function is  

[tex]y=760(0.75)^3[/tex]     ...(1)

The general form of exponential decay function is  

[tex]y=a(1-r)^t[/tex]    ...(2)

where, a is initial amount, t is the time period, r is decay rate and (1-r) is the decay factor.

On comparing (1) and (2), we get

[tex]a=760, t=3, (1-r)=0.75[/tex]

Therefore, the decay factor is 0.75.

G(x)=3x^2-12x+8 maximum or minimum

Answers

Answer:

Minimum

Explanation:

This is what the graph looks like. As you can see, there is no point lower than y=-4. That means the graph has a minimum rather than a maximum.

Here's a shortcut! If the coefficient of x² is positive, the graph has a minimum point. If the coefficient is negative, the graph has a maximum point.

7/10 divided by 2
Please help if available ✌

Answers

Answer:

0.35

Step-by-step explanation:

if you divide them together you get 0.35

Please help! Correct answer only please! I need to finish this assignment by today.
At a T-shirt stand on the boardwalk, 7 of the last 14 shirts sold were green. What is the experimental probability that the next shirt sold will be green?

Simplify your answer and write it as a fraction or whole number.

P(green) =

Answers

Answer:

1/2 or 0.5

Step-by-step explanation:

since 7 out of 14 shirts sold were green, the probability would be 7/14. but since you need to simplify, it will be 1/2 or 0.5

Answer:

1/2

Step-by-step explanation:

Since there are a total of 14 t shirts and 7 of them were green, the experimental probability that the next one is also green is 7/14=1/2. Hope this  helps!

Suppose you have a bag of colored elastic bands and you choose one without looking. The probability the elastic band you choose is blue is ​P(blue​)=0.34. Write this probability as a percent and a fraction.

Answers

Answer:

0.34 can be written as 34% or 34/100.

perform the indicated operation 5/11 + 9/11​

Answers

Answer:

It would be 14/11

when you make it a mixed number, it'll be 1 3/11

Step-by-step explanation:

You can't simplify it more than 3/11 so

1 3/11

x:28=1:8
Whats the answer eh​

Answers

Answer:

Step-by-step explanation:

We can setup the equation as

x/28 = 1/8

Cross multiplying we get

8x = 28

Dividing by 8 we get

x = 28/8 = 7/2

I WILL GIVE YOU BRAINLIEST!!!!!

Answers

Answer: C

Step-by-step explanation:

If you look at the patterns in the table, you will notice that y is always the square of x. So y = x^2 (C)

Answer:

c

Step-by-step explanation:

When you multiply any negative number by any power the answer is the same as the positive of that number.Just make sure you put it in like this into the calculator:

[tex](-4)^{2}[/tex]

How fast was the container being filled?

Answers

Answer:

Between the 10- and 20- second marks

Step-by-step explanation:

in the first half of filling the container it started at 0- 10 and the points goes further to 30 which is 10 plus 20 equals to 30, which is between the 10- and 20- second marks.

Alison is buying notebooks for school. Small notebooks cost $3 each, and large notebooks cost $5 each. If Alison needs to buy at least 12 notebooks and has no more than $45 to spend, what is the maximum number of large notebooks she can buy?

Answers

Answer:

7 large notebooks and 3 small notebooks.

Step-by-step explanation:

If you take the number 5 and keep adding it to itself you will get the number 45. This should help.Therefore the answer to this word problem would be, " Alison can buy 7 large $5 notebooks. She can also buy 3 small notebooks.

Brainliest is greatly appreciated

Answered by: SKylar

6/8/2020

12:13 PM (Eastern Time)

Answer: 9 notebooks

Step-by-step explanation:

It says “what’s the maximum of large notebooks can she buy” So basically I guess just large notebooks.

5 Write the first five terms of the sequence with nth term.

a 4n
b 2n+1
c 3n -2
d 1/2n +1
e 20 -5n
f -2n +3​

Answers

Answer:

its a lot u'll see at the end

Step-by-step explanation:

a) 4n = 4,8,12,16,20

b) 2n+1= 3,5,7,9,11

c) 3n-2= 1,4,7,10,13

d) 1÷2n+1= [tex]\frac{3}{2}[/tex], [tex]\frac{5}{4} ,\frac{7}{6} ,\frac{9}{8} ,\frac{11}{10} ,[/tex]

e) 20-5n= 15,10,5,0,-5

f) -2n+3= 1,-1,-3,-5,-7

took me a while hope it is helpful

Can you explain the example 4 pls

Answers

Answer:

x = -3/4

Step-by-step explanation:

15/4 - 7x = 9

When solving these types of equations, you want to isolate the variable

Subtract 15/4 from both sides to get

-7x = 21/4

Divide both sides by -7 to get

x = -3/4

Answer:

x = -3/4

Step-by-step explanation:

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