Multiply polynomials by polynomials
(a+3)(a-2)

Answers

Answer 1

Answer:

a^2+a-6

Step-by-step explanation:

(a+3)(a-2)

a^2-2a+3a-6

a^2+a-6

Hope this helps ;) ❤❤❤

Answer 2

Answer:

[tex] {a}^{2} + a - 6[/tex]

Step-by-step explanation:

[tex](a + 3)(a - 2)[/tex]

Multiply the second parentheses by each term from the first parentheses

[tex] = a(a - 2) + 3(a - 2)[/tex]

Distribute ' a ' through the parentheses

[tex] = {a}^{2} - 2a + 3(a - 2)[/tex]

Distribute 3 through the parentheses

[tex] = {a}^{2} - 2a + 3a - 6[/tex]

Collect like terms

[tex] = {a}^{2} + a - 6[/tex]

Hope this helps..

Best regards!!


Related Questions

Please answer this question now

Answers

Answer:

The midpoint is (2.5, 3.5)

Step-by-step explanation:

The midpoint is the average of the coordinates

x = (x1+x2)/2  and y =(y1+y2)/2

x = (2+3)/2 = 5/2 = 2.5

y = (3+4)/2 = 7/2 = 3.5

The midpoint is (2.5, 3.5)

Answer:

(2.5, 3.5)

Step-by-step explanation:

The midpoint is found by taking the average of the x-coordinates and the average of the y-coordinates.

Here, the average of the x-coordinates is (2 + 3)/2 = 5/2 = 2.5.

The average of the x-coordinates is (3 + 4)/2 = 7/2 = 3.5.

The answer is thus (2.5, 3.5).

~ an aesthetics lover

Twice the sum of two numbers is 72 if one number is 20 then the other number is_______

Answers

Answer:

16

Step-by-step explanation:

If you add 16 to 20 then you get 36. twice of 36 is 72

Find the value of x.

Answers

Answer:

x = √21.

Step-by-step explanation:

Triangles ADB and BCD are similar.

So their corresponding sides are in the same ratio:

x / 7 = 3 / x

x^2 = 21

x = √21.

Of the following statements, which one or ones describe actions helpful to your credit score?
I. Quickly paying off debts
II. Having recent debts
III. Having long-standing lines of credit
a. I only
b. II and III
C. I and III
d. III only
Please select the best answer from the choices provided
A
B

Answers

Answer:

I’m going to say C in order to improve you have to pay off debts

Step-by-step explanation:

The Credit Score helps us to

Quickly paying off debts and Having long-standing lines of credit.

What is Credit Score?

Based on information from your credit reports, a credit score predicts your credit behavior, such as how likely you are to repay a loan on time.

This is determined by the total amount you owe, the variety and quantity of accounts you have, and the ratio of your debt to your available credit.

Given:

As, Smaller amounts may boost your credit score if you make on-time payments, but larger balances and maxed-out credit cards will lower it.

So, Credit Score usually used to pay the debts.

But the debts are bad for credit.

Learn more about Credit Score here:

https://brainly.com/question/25668115

#SPJ2

Help pls!!1!___________

Answers

i think the answer is 2010

Answer:

1.08*10^11

Step-by-step explanation:

how many more it means you need to subtract :

in year 1965 : 7.2*10^10

in 1995 :1.8*10^11

(1.8*10^11)-(7.2*10^10)

18*10^10-(7.2*10^10)=

10.8*10^10 or 1.08*10^11

5t - 30t + 50 =0 pls help!!!

Answers

Answer:

t=   2

Step-by-step explanation:

5t - 30t + 50 =0

-50                  -50

5t - 30t  =-50

-25t   = -50

÷-25    ÷-25

t=   2

Answer:

t = 2

Step-by-step explanation:

5t - 30t + 50 = 0

-25t = -50

t =  -50/-25

t = 2

Another math question I couldn't figure out.

(I did actually figure out an answer for this one, but it's definitely wrong.)

Each year the value of a bank account increases by 3% because of interest.
If £700 is paid into the account and no money is paid in or taken out, how much will be in the account after 3 years?

Answers

I believe the answer is 764.90. 3% of 700 is 21, then add that to 700- have three percent of that- add it to the 721, find 3% of that, then three percent of that then add that to 700 :)

How many different 2-digit numbers are there with the following property: it is even and its digits are distinct?

Answers

Answer:

There are 41 different 2-digit numbers with the following properties in the question

Step-by-step explanation:

This may not be easy, but I counted them all:

10

12

14

16

18

20

24

26

28

30

32

34

36

38

40

42

46

48

50

52

54

56

58

60

62

64

68

70

72

74

76

78

80

82

84

86

90

92

94

96

98

I counted them. There were 41 numbers.

In conclusion, there are 41 2-digit numbers with the following properties: it is an even number and its digits are distinct.

Which form of a quadratic function is easiest to use when finding the maximum or minimum value of the function?

Answers

Answer:

ax² + bx + c

Step-by-step explanation:

The form of a quadratic equation that is easy to use when finding the maximum or minimum value of the function is ax² + bx + c.

Suppose a quadratic function:

f(x) = 2x² - 8x + 9

Use ( -b/2a ,  f(-b/2a) ).

-b/2a

a = 2

b = -8

-(-8)/2(2)

8/4

= 2

f(2) = 2(2)² - 8(2) + 9

f(2) = 2(4) - 8(2) + 9

f(2) = 8 - 16 + 9

f(2) = 1

The minimum value of this quadratic function is (2, 1).

It represents a minimum value because a > 0.

Answer:

Vertex form

Step-by-step explanation:

There are several forms of the quadratic equation

Standard form: y = ax^2 + bx + c which is useful for the quadratic equation and the axis of symmetry

Factored form: y = (ax - c)(bx - d)   which will give us the zeros

and

Vertex form: y = a(x - h)2 + k where ( h,k) is the vertex

The maximum and minimum would be the value of k

It would be maximum when a >0 and minimum when a<0

What is the completely simplified equivalent of 2 over 5+i? the 'i' is 1! thx for the help!

Answers

Answer:

1/3 ≅ .33333

Step-by-step explanation:

If 'i' is 1, then 5+i is 6. 2 over 6 is 1 over 3. (2/6 = 1/3) 1 over 3 is also .3333... forever repeating.

Hope this helps!

3
What is the y-coordinate of the point that divides the
directed line segment from J to k into a ratio of 5:1?
2
AK (7.2)
1
y =
m
m+
-)(x2 - wa) + v
2 3 4 5 6 7 8 9 10 11 x
-11
-2
-3
-4
-5
-8
0-5
0 0
O 6
ibd
-10
J (1,-10)

Answers

Answer:

0

Step-by-step explanation:

Given the points J (1,-10) and K (7, 2)

From the section formula

[tex](x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)[/tex]

The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is obtained using the formula:

[tex]y=\dfrac{my_2+ny_1}{m+n}\\m=5, n=1, y_1=-10, y_2=2\\Therefore:\\y=\dfrac{5*2+1*-10}{5+1}\\=\dfrac{10-10}{6}\\=0[/tex]

The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.

The y coordinate of the point that divides J to K in the ratio 5 : 1 is 0.

Distance

If a point O(x, y) divides the line segment AB with end points A(x₁, y₁) and B(x₂, y₂) in the ratio n:m, the coordinate of O is:

[tex]x=\frac{n}{n+m} (x_2-x_1)+x_1\\\\y=\frac{n}{n+m} (y_2-y_1)+y_1[/tex]

Let O(x, y) represent the point dividing J to K in the ratio 5 : 1. K(7,2) and J(1, -10)Hence:

[tex]y=\frac{5}{5+1}(2-(-10)) + (-10)=0[/tex]

The y coordinate of the point that divides J to K in the ratio 5 : 1 is 0.

Find out more on Distance at: https://brainly.com/question/17273444

these tables of values represent continuous functions. for which function will the y-value be the greatest for very large values of x

Answers

Answer:

Option A.

Step-by-step explanation:

We need to find a table for which the y-value will be the greatest for very large values of x.

From the given table it is clear that the largest value of x in all tables is 5.

In table A, y=64 at x=5.

In table B, y=32 at x=5.

In table C, y=40 at x=5.

In table D, y=13 at x=5.

It is clear that 64 is the greatest value among 64, 32, 40 and 13.

It means table in option A represents the function for which the y-value will be the greatest for very large values of x.

Therefore, the correct option is A.

Answer:

Option A

Step-by-step explanation:

Took the quiz

Find the missing side lengths. Answers are in simplest radical form with the denominator rationalized.

Answers

Answer: D

Step-by-step explanation:

y=4√2

This triangle is isosceles.  Thus, two of the legs are congruent by A.S. Thm

D is the only choice with y = 4√2.

What's the equation of the parabola that has its vertex at (8,–14) and a point (5,13) that lies on the curve?
Question 13 options:

A)

y = (x + 8)2 – 14

B)

y = (x – 8)2 – 14

C)

y = 3(x + 8)2 – 14

D)

y = 3(x – 8)2 – 14

Answers

Answer:

The expression with the described characteristics is: [tex]y = 3*(x - 8)^2 - 14[/tex]. Therefore the correct answer is letter D.

Step-by-step explanation:

I believe there is a typo in the vertex's coordinate, I think it should be (8,14). I came to this conclusion by observing the possible answers, if the given vertex is correct then there are no correct answers among them. I made my best effort to explain the question in a way that can be generalized for different vertex's coordinates.

The equations are given in their vertex form. This form has the following structure:

[tex]y = a*(x - h)^2 - k[/tex]

Where (h,k) are the vertex's coordinates, in our case (8, 14). This knowledge makes easier to determine a equation with the correct vertex as shown below:

[tex]y = a*(x - 8)^2 - 14[/tex]

Where the value of "a" must be determined by applying the given point.

[tex]13 = a*(5 - 8)^2 - 14\\13 = a*(3)^2 - 14\\a*9 = 27\\a = \frac{27}{9}\\a = 3[/tex]

The expression with the described characteristics is: [tex]y = 3*(x - 8)^2 - 14[/tex]. Therefore the correct answer is letter D.

What is the next number in the sequence?
-1.4,-16, 64, -256, ...


(A) 1.024
(B)-512
(C) 648
(D) -1,024​

Answers

Answer:

The answer is option A.

1,024

Hope this helps

What is the linear function defines the following Arithmetic Sequence? -5, -3, -1, 1, 3, ...

a. an = -5 + 2(n - 1)

b. an = -5 - 2(n - 1)

c. an = 5 - 2(n - 1)

d. an = 5 + 2(n - 1)

Answers

Answer:

an = -5 + 2( n-1)

Step-by-step explanation:

The formula for an arithmetic sequence is

an = a1+ d ( n-1)

where a1 is the first term and d is the common difference

a1 = -5 since it is the first term in the sequence

d = term 2 minus term1

  = -3 - (-5)

   = -3+5 = 2

an = -5 + 2( n-1)

put the following values in ascending order 4 2/7, 31/7, 3 5/7, 29/7, 27/7, the above are fractions you will get brainliest

Answers

Answer:

2/7 , 5/7 , 3 , 27/7 , 4 , 29/7 , 31/7

Step-by-step explanation:

2/7= 0.3

5/7= 0.7

3

27/7= 3.9

4

29/7= 4.1

31/7= 4.4

please mark me brainliest

Step-by-step explanation:

you first change the mixed fractions to improper fractions

it now becomes 4 2/7 = 30/7 and 3 5/7 = 26/7

then you find the least common multiple of the denominators of the fractions

which is 7. because they all have a common denominator

Then, you divide 7 with the denominators, the answer you get multiply with the numerators

i.e 30/7 ÷ 7 = 1, 1 × 30 = 30

26/7 ÷7=1,1×26=26

31/7÷7=1, 1×31=31

29/7÷7=1,1×29=29

27/7÷7=1,1×27=27

from the answers above you arrange them in ascending order (least to highest)

i.e 26/7 27/7, 29/7,30/7,31/7

What challenges might people living in a country or state with high concentration of subprime scores be facing as a result of the low credit scores?

Answers

Answer:

poverty and hunger

In a class of c children,2/5 are boys What fraction are girls?

Answers

Hello! :)

________ ☆ ☆______________________

Answer:

3/5

Step-by-step explanation:

Here is the work:

You only have to subtract and you will get your answer.

5/5-2/5=3/5

We know 1 whole equals to 5/5, and there is 2/5 boys

So there will be 3/5 girls

Hope this helps! :)

_________ ☆ ☆________________________

By, BrainlyMember ^-^

✨ Good luck! ✨

Answer: 3/5c

Step-by-step explanation:

2/5 is 40%.  100-40=60.  Thus, 60% of c, or 3/5c are girls.

Hope it helps <3

Find the area of the right triangle. If necessary, round to the nearest tenth.
A right triangle with side 9 meters and hypotenuse of 18 meters.
a.
15.6 m
b.
70.2 m
c.
42.6 m
d.
243 m

Answers

Answer:

b

Step-by-step explanation:

Let's find the area of the adjacent side.

Applying Pythagoras' Theorem,

(adjacent side)²= 18² -9²

adjacent side[tex] = \sqrt{243} [/tex]

adjacent side= 15.588 m (5 s.f.)

Area of triangle= ½ ×base ×height

Area of traingle

[tex] = \frac{1}{2} \times15.588 \times 9 \\ = 70.1m \: (nearest \: tenth)[/tex]

The nearest answer is B.

*If you rounded of to the nearest tenth for the adjacent side first then use the formula for area of traingle, the result would be exactly 70.2 m.

Answer:

The answer above me is correct

Step-by-step explanation:

Find the value of x. Give reasons to justify your solution. C ∈ AE

Answers

Answer:

x = 11º

Step-by-step explanation:

1. Notice Parallel Lines

2. Understand Angle Relationships When Parallel Lines Are Present (e.g., alternate interior/exterior)

3. ∠CAB ≅ ∠DCA ∴ m∠CAB = 33º

4. Use exterior angle theorem: the sum of non-adjacent angles of the same triangle which the exterior angle is drawn is equal to the measure of that angle.

5. Therefore write and solve the equation 2x + 33º (sum of non-adjacent interior angles) = 5x (exterior angle).

2x + 33 = 5x (C.L.T or Combine Like Terms)3x = 33 (inverse operations; divide by 3)x = 11º (remember to apply units)

Answer:

11 degrees

Step-by-step explanation:

Ur welcome

Let f(x) = x2 and g(x) = x - 3.
Evaluate (gºf)(-2).
A. -20
B. 20
C. 7
D. 1

Answers

Answer:

D. 1

Step-by-step explanation:

Step 1: Find g of f(x)

g(f(x)) = (x²) - 3

Step 2: Plug in -2 as x

g(f(x))(-2) = (-2)² - 3

g(f(x))(-2) = 4 - 3

g(f(x))(-2) = 1

Solve the compound inequality.
5 < 2x - 1 < 9
Show work

Answers

Answer:

3 < x < 5

Step-by-step explanation:

5 < 2x - 1 < 9

Add 1 to both sides

That's

5 + 1 < 2x - 1 + 1 < 9 + 1

6 < 2x < 10

Divide all sides by 2

That's

6/2 < 2x/2 < 10/2

We have the final answer as

3 < x < 5

Hope this helps you

Pls, answer a really easy question! I will mark u as the brainliest!!!

Round the number 4 765 173 to:

i. the nearest million, ii. the nearest 100

Answers

Answer:

Step-by-step explanation:

i) to nearest million -- 5,000,000

ii) to nearest 100 -- 4,765,200

hope this helps

plz mark it as brainliest!!!!!

Answer:

5 000 000 4 765 200

Step-by-step explanation:

i just rounded the million and hundred and thats how i got my number.

what is 0.73 as a decimal

Answers

Answer:

0.73

Step-by-step explanation:

The decimal 0.73 is already in decimal form.

Answer:

73/100

Step-by-step explanation:

I put it down as 100

So 73/100 is the answer

The formula for the volume of a pyramid is uppercase V = one-third uppercase B h Which of the following equations is equivalent to the given formula? uppercase B = StartFraction 3 uppercase V Over h EndFraction uppercase B = StartFraction 3 h Over uppercase V EndFraction uppercase B = StartFraction uppercase V minus one-third Over h EndFraction uppercase B = StartFraction uppercase V + one-third Over h EndFraction

Answers

Answer:

uppercase B = StartFraction 3 uppercase V Over h

Step-by-step explanation:

The formula for the volume (V) of a pyramid is:

V = 1/3*B*h

where B is the are of the base and h is the height. We can isolate B, as follows:

multiply by 3 at both sides

V*3 = 1/3*B*h*3

divide by h at both sides

V*3/h = B*h/h

V*3/h = B

Answer:

uppercase B = StartFraction 3 uppercase V Over h

Step-by-step explanation:

there fore the answer is A

a bike store marks up the wholesale cost of all bikes by 30%. Calvin wants to buy a bike that has a price tag of $125. What was the wholesale price of this bike

Answers

Answer:

$162.50

Step-by-step explanation:

Answer:

87.5

You need to take 30 percent from 125 and subtract it to get the wholesale price

Need help solving algebraic expression 3H+20+H=180

Answers

Answer:

H=40

Step-by-step explanation:

3H+20+H=180

4H +20 = 180

4H = 180 - 20

4H = 160

H = 160/4

H = 40

I solved it Step-by-step hoping this helps u to understand it.. Good Luck

3H +H= 4H
180-20=160
4H=160
H=40

PLS ANSWER I WILL MARK U AS THE BRAINLIEST!!! Correct 36.2598 to

a) decimal place.
b) To the nearest hundredth.
c) to nearest 0.001
d) to the nearest whole number

Answers

The question is incomplete.

Complete Question

Correct 36.2598 to

a) to one decimal place.

b) To the nearest hundredth.

c) to nearest 0.001

d) to the nearest whole number

Answer:

a) to one decimal place = 36.3

b) To the nearest hundredth= 36.26

c) to nearest 0.001 = 36.260

d) to the nearest whole number = 36

Step-by-step explanation:

From the question, we are to round up 36.2598 to the following:

a) to one decimal place.

Rounding up 36.2598 to one decimal place means we are looking at the first number after the decimal which is 2. The number after it is 5, so we are adding one to 2. Hence,

36.2598 to one decimal place = 36.3

b) To the nearest hundredth:

Rounding up 36.2598 to the nearest hundredth means we are rounding up to 2 decimal places. This means we are looking at the second number after the decimal which is 5. The number after it is 9, which is higher than 5 so we are adding one to 5. Therefore,

36.2598 to the nearest hundredth = 36.26.

c) to nearest 0.001

Rounding up 36.2598 to the nearest 0.001 means we are rounding up to the nearest thousandth which is 3 decimal places.

This means we are looking at the third number after the decimal which is 9. The number after it is 8, which is higher than 5 so we are adding one to 9.

Therefore,

36.2598 to the nearest 0.001 = 36.260

d) to the nearest whole number

Rounding up 36.2598 to the nearest whole number means we are rounding up the number before the decimal place. That number is 6. We look at the first digit after the decimal, it is less than 5, 6 remains unchanged, if it is 5 and above, we add one to 6.

For our question, the number after the decimal is 2, it is less than 5 so 6 remains unchanged.

36.2598 to the nearest whole number = 36.

Given that f (x ) = 5 x - 10 and g (x ) = x = 3 , solve for f (g(x)) when x = -1

Answers

Answer:

f(g(x))(-1) = 0

Step-by-step explanation:

Step 1: Find f(g(x))

5(x + 3) - 10

5x + 15 - 10

5x + 5

Step 2: Plug in -1

5(-1) + 5

-5 + 5

0

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