Factorize:
a⁴-a³+2a²​

When the callable bond is 75 basis points using on-the-run treasuries as benchmark rates,it implies that the nominal speed is 75bp over the treasury benchmark rates.

It should be noted that a callable bond is the debt instrument whee the issuer has the right to return the principal of the investor.

Callable bonds are also known as redeemable bonds and they're paid off before the maturity date of the bond by the issuer.

It gives room for companies to pay off their debt early and then get benefit regarding favorable interests.

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The values of x that would result in the given expression being equal to 0 is -2, 6

Given the following expression

f(x) = (x-6)(x+2)

If the function f(x) = 0, then;

(x-6)(x+2) = 0
x - 6 = 0 and x + 2 = 0

Determine the value of  x

x = 6 and x = -2

Hence the values of x that would result in the given expression being equal to 0 is -2, 6

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12:25 is also the same as 12/25 (in the fractional form!)

hope this helps, have a great day/night/afternoon!! Don't forget to mark me the brainliest if this ever helps you!

The inference is that the person will tell the friend that he did manifest coding and he should have recorded the base.

The options are:

He did manifest coding.

He did latent coding.

He should have recorded the base.

He did manifest coding and he should have recorded the base.

It should be noted that an inference simply means the conclusion that can be deduced based on the information given.

In this case, the friend was interested in determining whether the news media noticed campus events and decided to do a content analysis of the local paper.

Therefore, the the person will tell the friend that he did manifest coding and he should have recorded the base.

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You told your friend: d. he did manifest coding and he should have recorded the base.

The missing options are:

a. he did manifest coding.      b. he did latent coding.

c. he should have recorded the base.

d. he did manifest coding and he should have recorded the base.

e. he did latent coding and he should have recorded the base.

From the question, we understand that:

As a general rule, manifest coding include making use of the contents at the surface gotten from available data and questionnaires.

Because the stories that mentioned the university name can be gotten from publications, it means that your friend used manifest coding

Hence, the true statement is (d) he did manifest coding and he should have recorded the base.

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Answer:

b = 81

Step-by-step explanation:

given a² and b are directly proportional then the equation relating them is

a² = kb ← k is the constant of proportionality

to find k use the condition a = 2 when b = 9 , then

2² = 9k

4 = 9k ( divide both sides by 9 )

[tex]\frac{4}{9}[/tex] = k

a² = [tex]\frac{4}{9}[/tex] b ← equation of proportion

when a = 6 , then

6² = [tex]\frac{4}{9}[/tex] b

36 = [tex]\frac{4}{9}[/tex] b ( multiply both sides by 9 to clear the fraction )

324 = 4b ( divide both sides by 4 )

81 = b

Step-by-step explanation:

[tex] = { ({1}^{3} )}^{4} [/tex]

[tex] = {1}^{3 \times 4} [/tex]

[tex] = {1}^{12} [/tex]

[tex] = 1[/tex]

Answer:

x = 20, y = 60

Explanation:

Angles which lie in a straight line sum ups to 180°

3x + 3x + 3x = 180

9x = 180

x = 180/9

x = 20

Using the same theorem,

3x + y + 3x = 180

3(20) + y + 3(20) = 180

60 + 60 + y = 180

120 + y = 180

y = 180 - 120

y = 60

or

y = 3x

y = 3(20)

y = 60

The value of x is 20° and the value of y is 60°.

According to this theorem, when two straight lines cross, they create two sets of linear pairs with matching angles. The adjacent angles created by the junction of these two lines are likewise said to be supplementary, or equivalent to 180 degrees.

As per the vertical angles theorem and vertical angles theorem,

the two angle equations as per the opposite angle and supplementary angles.

3x + 3x + 3x = 180

9x = 180

x = 180/9

x = 20

And another equation can be described as,

3x + y + 3x = 180

6x + y = 180

6(20) + y = 180

y = 180 - 120

y = 60

Therefore, x = 20 degrees and y = 60 degrees.

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The matching of definitions and terms are done below.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Match the verbal expression (term) with its algebraic expression (definition).

Some number increased by two ⇒ b + 2

A variable decreased by two ⇒ x – 2

Product of an unknown value and two ⇒ 2z

Quotient of some number and two ⇒ a ÷ 2

An unknown value squared ⇒ y²

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Answer: The second option, y = 3(1/3)^x

Step-by-step explanation: Input each equation into a graphing calculator (preferably GeoGebra online) and check the answer. I linked the equation, but make sure to check anyway just in case :)

The distance between the points (0, 0) and (0, 6) on the coordinate plane will be 6 units. Then the correct option is D.

The shortest distance (length of the straight line segment's length connecting both given points) between points (p, q) and (x, y) is:

D² = (x – p)² + (y – q)²

Point M is 6 units away from the origin.

Take option D assuming correct, then the point will be (0, 6)

Then the distance between the points will be

D² = (0 - 0)² + (6 - 0)²

D² = 0² + 6²

D² = 0 + 36

D² = 36

D = 6 units

Then the correct option is D.

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Answer:

Step-by-step explanation:

A quadrilateral has angles 60,60,120 and 120

write down the names of three possible quadrilaterals that can have these angles

Answer:

) +, -

e) x, ÷

g) ÷

Step-by-step explanation:

An isosceles right angled triangle has two equal sides, and those two equal sides make 90 degrees (right angle) internally. The correct option is A.

An isosceles right angled triangle has two equal sides, and those two equal sides make 90 degrees (right angle) internally.

Since the two of the angles of the triangle are equal, therefore, the length on the opposite sides of this angle will be equal to each other. Hence, we can write that the length of the side s will be equal to 4.

Hence, the correct option is A.

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Answer:

Carla

Step-by-step explanation:

First we need to find the hourly rate for Annette

Take the dollars earned and divide by the number of hours

30/2 = 15 dollars per hour

Now we can find the hourly rate for Carla

96/6 =16 dollars per hour

Carla has the higher hourly rate  since she earns more per hour

Answer:  Volume

Step-by-step explanation:

Answer:

Step-by-step explanation:

30 is an opposite angle (2 angles of 30°)

sum of all angles = 360°

360 - 90 -30 - 150 - 30 = 60°

check

60 + 30 + 150 + 30 + 90 = 360°

the answer is good

Answer:

b = 60

Step-by-step explanation:

A straight line is 180 degrees

30+90+b = 180

Combine like terms

120 +b = 180

b =180-120

b = 60

Answer:

False

Step-by-step explanation:

27+65=92, so false

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: False[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: x + 65 = 87[/tex]

[ subtract 65 on both sides ]

[tex]\qquad \tt \rightarrow \: x + 65 - 65 = 87 - 65[/tex]

[tex]\qquad \tt \rightarrow \: x = 22[/tex]

but according to the statement it says, x = 27

which is proved wrong.

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

D

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

4 + (-6) = -2

I believe the answer is -2, 7

Answer:

B

D

A

C

Step-by-step explanation:

Whatever is listed 2nd in the parentheses, do that function first. Then take that result & do the function listed first.

Answer:

I think favorable outcomes are just the outcomes

which is 6

SR, SB, MR, MB, LR, LB

Step-by-step explanation:

Answer:

1/16 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

Step-by-step explanation:

Answer:

the answer is (3,4) is the solution to line A but not to line b

Answer: To solve a system of equations by substitution, we can rewrite a two-variable equation as a single variable equation by substituting the value of a variable from one equation into the other. Let’s start by solving the system of equations that we looked at above: x=4 x = 4 y+x=12 y +x = 12

Step-by-step explanation:

Answer:

Isolating a variable in one of the equations.

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf f(a+2)=\frac{5+a}{a-1}}[/tex]

Step-by-step explanation:

[tex]\displaystyle f(x)=\frac{3+x}{x-3}[/tex]

Put x = a + 2

[tex]\displaystyle f(a+2)=\frac{3+a+2}{a+2-3} \\\\f(a+2)=\frac{5+a}{a-1} \\\\\rule[225]{225}{2}[/tex]

Answer:

a=24

Step-by-step explanation:

Start by subtracting 8 from both sides giving:

1/4a+1/3a=14

Then find a common denominator between the two a terms which is 12 giving:

3/12a+4/12a=14

Combine the two terms:

7/12a=14

Then divide by 7/12 giving you a=24

Answer:

y-2=1/3(x-3)

Step-by-step explanation:

Point slope formula: y-y1=m(x-x1)

m is slope.

y-2=1/3(x-3)

Hope this helps!

If not, I am sorry.

Answer:

48/field

you take 32÷4=8 and then you 8*6=48 each field