Explain why the initial value of any function of the form
f(x)= a(b) is equal to a.

Explain Why The Initial Value Of Any Function Of The Formf(x)= A(b) Is Equal To A.

Answers

Answer 1

Hello there!

Initial value is the y-intercept so x = 0. Then b⁰ = 1 because x⁰ = 1 if x ≠ 0. So the value of function is a * 1 which is equal to a.

Answer 2

Step-by-step explanation: The initial value of any function of the form f(x)= a(b) is equal to a because this type of function is a linear equation, which means that the rate of change (slope) is constant. This means that the output is always equal to the input multiplied by a constant, which is the coefficient a. Therefore, when the input (x) is equal to 0, the output (f(x)) is equal to 0 multiplied by a, which is equal to a.


Related Questions

help! I need this finished soon! I will give points and it’s just algebra!

Answers

Answer:

first:F

second:E

third: D

Step-by-step explanation:

1=F
2=E
3=D
Hope this helps

F18) if y varies jointly as x and the inverse of z, and y = -5 and z = 6, find y when x = 5 and z = -8

Answers

Answer:

gfifhdrtjttt9668ztjt*

g Suppose that the retail price of a product has a normal distribution with a mean of $37 and a standard deviation of $20. Approximately, what is the probability that the price grows beyond double the mean

Answers

Retail price of the product will be double its mean will have a prbability of 0.0401.

What is Normal Distribution ?

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center of the range.

A probability distribution that is symmetric around the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean. The normal distribution appears as a "bell curve" on a graph.

The value of the product considering = $37*2 = $74(x)

Mean = $37

Standard Deviation (SD)= $20

here z= [tex]\frac{x - mean}{SD}[/tex] = [tex]\frac{74 - 37}{20} = \frac{37}{20} = 1.75[/tex]

P(z>1.75) = 1 - [tex]\phi(1.75)[/tex] = 1 - .9599 = 0.0401

Retail price of the product will be double its mean will have a prbability of 0.0401.

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Can u please help me with this question.

Answers

Answer:

you can use compass to make straight line

What are the 13 types of angles?

Answers

There are several types of angles, including: acute angles, right angles, obtuse angles, straight angles, reflex angles, complementary angles, supplementary angles, adjacent angles, linear pair, vertically opposite angles, alternate interior angles, alternate exterior angles, and corresponding angles.

Acute angles: angles measuring less than 90 degrees.

Right angles: angles measuring exactly 90 degrees.

Obtuse angles: angles measuring greater than 90 degrees but less than 180 degrees.

Straight angles: angles measuring exactly 180 degrees.

Reflex angles: angles measuring greater than 180 degrees but less than 360 degrees.

Complementary angles: two angles that add up to 90 degrees.

Supplementary angles: two angles that add up to 180 degrees.

Adjacent angles: two angles that share a common vertex and a common side but no common interior points.

Linear pair: two angles that add up to 180 degrees and share a common side.

Vertically opposite angles: two angles formed by two intersecting lines that are opposite to each other.

Alternate interior angles: two angles formed by two intersecting lines that are on opposite sides of the transversal and inside the parallel lines.

Alternate exterior angles: two angles formed by two intersecting lines that are on opposite sides of the transversal and outside the parallel lines.

Corresponding angles: two angles formed by two intersecting lines that are in the same relative position.

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In ΔNOP,
m

N
=
(
9
x
+
8
)

m∠N=(9x+8)

,
m

O
=
(
4
x
+
13
)

m∠O=(4x+13)

, and
m

P
=
(
2
x

6
)

m∠P=(2x−6)

. Find
m

N
.
m∠N

Answers

Answer: 15

Step-by-step explanation: In ΔNOP,

m

N

=

(

9

x

+

8

)

m∠N=(9x+8)

,

m

O

=

(

4

x

+

13

)

m∠O=(4x+13)

, and

m

P

=

(

2

x

6

)

m∠P=(2x−6)

. Find

m

N

.

m∠N

A. (3,1)
B. (3,-1)
C. (-3,-1)
D.(-3,1)

Answers

Step-by-step explanation:

D) (-3, 1)

I is 3 steps away from the y axis, so counting 3 steps further you'll have (-3,1)

Mrs. Read can knit one pair of children's mittens with a ball of yarn six inches in diameter. How many pairs of identical mittens can she knit with a ball of yarn twelve inches in diameter

Answers

She can knit total 8 pairs of identical mittens with a ball of yarn twelve inches in diameter

In the given question, Mrs. Read can knit one pair of children's mittens with a ball of yarn six inches in diameter.

We have to find how many pairs of identical mittens she can knit with a ball of yarn twelve inches in diameter.

The radius of a ball of yarn six inches in diameter is

r = 6/2 = 3 inches

The radius of a ball of yarn twelve inches in diameter is

r = 12/2 = 6 inches

Now, the volume of the six inches yarn = [tex]\frac{4}{3} \pi r^3[/tex]

The volume of the six inches yarn = [tex]\frac{4}{3} \pi (3)^3[/tex]

The volume of the six inches yarn = 36π

Now, the volume of the twelve inches yarn = [tex]\frac{4}{3} \pi r^3[/tex]

The volume of the twelve inches yarn = [tex]\frac{4}{3} \pi (6)^3[/tex]

The volume of the twelve inches yarn = 288π

Now we finding the numbers of pairs of identical mittens she can knit with a ball of yarn twelve inches in diameter

= 288π/36π

= 8

Hence, she can knit total 8 pairs of identical mittens with a ball of yarn twelve inches in diameter.

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I need answers for A -F

Answers

Answer:

A. 103º

B. 96º

C. m<4 = m<10

D. m<1 = m<16

E. m<5 = m<13

F. m<14 + m<15 = 180º

(Not entirely sure for C-F... But I hope this helps!)

erite an equation and solve for x if the area of the rectangle is 55 square units

___3x-1___
5|
|​

Answers

Your answer is 4. Explain in pic

What is the length of leg y of the right triangle?

Answers

Answer:

4

Step-by-step explanation:

Find the volume of a pyramid with a square base, where the side length of the base is 6.1\text{ m}6.1 m and the height of the pyramid is 4.7\text{ m}4.7 m. Round your answer to the nearest tenth of a cubic meter.

Answers

Answer:

58.3m^3

Step-by-step explanation:

volume of a pyramid = 1/3 x length x width x height

1/3 x (6.1 x 6.1 x 4.7) = 58.3 m^3

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Rami practices his saxophone for 56 hour on 4 days each week. How many hours does Rami practice his saxophone each week

Answers

This tells you he practiced for 3 2/6

How many hours does rami practice his saxophone each week?

A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression.

We frequently have to understand a written phrase in order to write an expression. For instance, the notation x + 6 can be used to represent the phrase "6 added to some number," where x stands for the unknown value.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. The following is the structure of an expression: Expression: (Number/Variable, Math Operator, Math Operator)

Given,

you take 5/6 and multiply it by 4/1.

which gives you 20/6

then reduce it by dividing the top number by the bottom number

 which gives you 3 with a remainder of 2

you then place the remainder over the

This tells you he practiced for 3 2/6

The complete question is :Rami practices his saxophone for 5/6 hour on 4 days each week.

How many hours does Rami practice his saxophone each week?

[] 2/[] Hr

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A large helium balloon is tethered to the ground by two taut lines. One line is 100 ft. Long and makes an 80 degree angle with the ground. The second line makes a 40 degree angle with the ground. How long is the second line?

Answers

The second line is 153ft long.

We are making a figure out of the given statment. Where we have the Triangle ABC and other two Triangle ADB and ADC inside Triangle ABC. Here Angle ADC = 80 degress and Angle ACD = 40 egress.

According to given statement and figure,

In triangle ABO, AD= 100 ft

Hence, BD/AD = Cos80

or, BD = (100 * Cos80)

or, BD = 17.36 ft

Now, AB/AD = Sin80

or, AB = (100* Sin 80)

or, AB = 98.48

Now, In case of triangle ABC

AB/AC = Sin40

or, AC = AB/ Sin 40

or, AC = 98.48/ Sin40

or, AC = 153.2 ft (nearly equal to 153 ft)

The second line is 153ft long.

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Figure S is reflected over the y-axis and then rotated 90 clock wise. Which sided of figure T is congruent to side 1 of figure S.

Answers

Answer:

KL

Step-by-step explanation:

Equivalent fractions for 1 3/4 and 1 4/5 using 20 as the common denominator

Answers

Answer: 1 3/4 = 35/20 and 1 4/5 = 36/20

Step-by-step explanation:

1 3/4 = 7/4

Multiply top and bottom by 5 to get 35/20

1 4/5 = 9/5

Multiply top and bottom by 4 to get 36/20

A man wants to sell his house. He priced it at $150,000 the first day. The second day he reduced the price by 12%. What was the price of the house after this reduction

Answers

Answer:

$132,000

Step-by-step explanation:

Subtract 12% from 100%:  88%.  Now convert 88% into a decimal fraction:  0.88.  Finally, multiply $150,000 by (0.88).  Answer:  $132,000

An experiment was conducted by a group of students. There were 8 times recorded. The distance traveled was 30 meters. The times were 7.48, 7.45, 7.90, 7.37, 7.25, 7.40, 7.55, and 7.60. What was the average time

Answers

The average time is 7.5.  The average is calculated by dividing the total number of values in a given set by the sum of all the values in that set.

How to calculate average ?

An average is a single number chosen to represent a group of numbers; it is often the sum of the numbers divided by the number of numbers in the group. Average The arithmetic mean is calculated by adding a set of numbers, dividing by their count, and then taking the result.

If every number in a list is the same number, then that number also serves as the average for the list. Every one of the diverse varieties of average shares this characteristic.

An average of the values in a sample of data can be used to define a mean. In other words, the arithmetic mean is another name for an average. A mean is a term used to describe the average.

Average = Sum /  Count

Sum = 7.48 + 7.45 + 7.90 + 7.37 + 7.25 + 7.40 + 7.55 + 7.60

= 60 / 8

= 7.5

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please help me I don't get it

Answers

Answer:

The answer is a 2

Step-by-step explanation:

Is a 2 because the point 1 is a 2 line

Answer:

there is one side that is in the negative and then the other side is in the positive side

Step-by-step explanation:

A fish swims at an altitude of -20. 2 meters. A bird flies at an altitude of 38. 1 meters. Which animal is closer to sea level?

Answers

The fish is closer to sea level. Sea level is defined as the mean sea level, which is a fixed point of reference for measuring altitude.

The altitude of the fish is -20.2 meters, which is closer to sea level than the altitude of the bird at 38.1 meters. This means that the fish is closer to sea level than the bird.  To explain further, sea level altitude is a point of reference that is used to measure the altitude of other objects. Sea level altitude is defined as the mean sea level which is a fixed point.

Therefore, when trying to determine which animal is closer to sea level, it is important to look at the altitude of both the fish and the bird. The altitude of the fish is -20.2 meters, which is closer to sea level than the altitude of the bird at 38.1 meters. This means that the fish is closer to sea level than the bird.

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Subtract.
(6х2 + 5) – (4x-3)
A. 6Х2 – 4x+2
В. 2х2 +8
Ос. 2х2 + 2
OD. 6х2 – 4х+8

Answers

Answer:

D

Step-by-step explanation:

[tex]6 {x}^{2} + 5 - 4x + 3[/tex]

simplifies down to

[tex]6 {x}^{2} - 4x + 8[/tex]

Answer:

A

Step-by-step explanation:

You cannot combine the unlike terms. The only thing you can do is combine the 5-3=2 then bring everything else down.

please help I found this one a bit confusing ​

Answers

Answer:

7.2

Step-by-step explanation:

To reach point D from point C, you need to add 4 to the x-value of point C and take away 6 from the y-value. These numbers are the sides of the hypothetical triangle.

The Pythagorean Theorem states that [tex]a^2+b^2=c^2[/tex]. If we plug the side lengths in for a and b, we get [tex]4^2 + 6^2 = c^2[/tex]. This can be simplified to [tex]16+36=c^2[/tex], or [tex]52 = c^2[/tex]. If we root both sides, we find that c is equal to [tex]\sqrt{52}[/tex], which is slightly more than 7, at around 7.2.

Help me im struggling

Answers

Answer:

XZ/PR = XY/PQ

Step-by-step explanation:

because those are the only variables that lines up with the triangle and goes in order.

If A, B, and C represent three matrices of the same size and (A + B) + C = 0, then which statement is true?

Answers

Answer:

Statement c:

a₁₁ + ( b₁₁+ c₁₁ ) = 0

Step-by-step explanation:

The options are:

a: a₁₁ = 0 and b₁₁ = 0

b: a₁₁ - ( b₁₁ + c₁₁ ) = 0

c. a₁₁ + ( b₁₁+ c₁₁ ) = 0

d. a₁₁x( b₁₁ + c₁₁) = 0

We know that A, B, and C are matrices of the same size, so we can write:

[tex]A = \left[\begin{array}{ccc}a_{11}&a_{21}&...\\a_{21}&a_{22}&...\\...&...&...\end{array}\right][/tex]

[tex]B = \left[\begin{array}{ccc}b_{11}&b_{21}&...\\b_{21}&b_{22}&...\\...&...&...\end{array}\right][/tex]

[tex]C = \left[\begin{array}{ccc}c_{11}&c_{21}&...\\c_{21}&c_{22}&...\\...&...&...\end{array}\right][/tex]

And here we have the sum of matrices, remember that:

[tex]A + B = \left[\begin{array}{ccc}a_{11}&a_{21}&...\\a_{21}&a_{22}&...\\...&...&...\end{array}\right] + \left[\begin{array}{ccc}b_{11}&b_{21}&...\\b_{21}&b_{22}&...\\...&...&...\end{array}\right] = \left[\begin{array}{ccc}a_{11} + b_{11}&a_{21} + b_{12}&...\\a_{21} + b_{21}&a_{22} + a_{22}&...\\...&...&...\end{array}\right][/tex]

And we know that (A + B) + C = 0 (a matrix full of zeros)

then:

[tex]\left[\begin{array}{ccc}(a_{11} + b_{11}) + c_{11} &(a_{21} + b_{12}) + c_{12}&...\\(a_{21} + b_{21}) + c_{21}&(a_{22} + b_{22}) + c_{22}&...\\...&...&...\end{array}\right] = \left[\begin{array}{ccc}0&0&...\\0&...&...\\...&...&...\end{array}\right][/tex]

Then:

(a₁₁ +  b₁₁ )+ c₁₁ = 0

These are real numbers, so we can rewrite this as:

a₁₁ + ( b₁₁+ c₁₁ )  = 0

Then statement c is the correct one.

Answer:

C

Step-by-step explanation:

unit test review edge 2021

The graph of function f is shown. An exponential function with vertex at (1, 3) and passes through (minus 2, 10), (8, 2) also intercepts the y-axis at 4 units. Function g is represented by the equation. g ⁡ ( x ) = 4 ⁢ ( 1 4 ) x + 2 Which statement correctly compares the two functions? A. They have the same y-intercept but different end behavior. B. They have different y-intercepts and different end behavior. C. They have the same y-intercept and the same end behavior. D. They have different y-intercepts but the same end behavior.

Answers

Answer:

Without being able to see the graph, it is not possible for me to accurately compare the two functions. Is it possible for you to provide more information about the functions or the graph?

Answer:

Step-by-step explanation:

graph please

A study of teenage drivers found that 63% text while driving and 30% have a car accident in their first year of driving. 21% of teenage drivers text while driving AND have a car accident in their first year.

Find the probability that a teenager gets into an accident in the first year of driving, given that he or she texts while driving. Round your answer to the nearest hundredth.

Answers

Answer:

33.33%

Step-by-step explanation:

63% of teenage drivers text while driving

21% of teenage drivers text while driving and have car accident in their first year

This means that a third of teenage drivers that text while driving get involved in a car accident during their first year, 33.33% is the probability then

Which description represents this equation? 7x-2=33

Answers

Answer:

Step-by-step explanation:

pull up in a monsta automobile gangsta

Answer:

7x = 33+2

7x = 35

x = 5

Step-by-step explanation:

A SIMPLE EQUATION

find the area of the rectangle whose length is 16cm and breath is 8am

Answers

Answer:128 cm^2

Step-by-step explanation:

Find the mean of the data in version a and round to the nearest tenth 20,20,24,24,25,25,25,25,26,26,26,27

Answers

Answer:

27 27 27

Step-by-step explanation:

as u can see it is going 25 25 25 three times so what u do with the 27 is this

27 27 27 three times. Hope This Helps

Whats the answer to the equation
(-7.14) + (-5.2)

Answers

The answer to the addition equation  (-7.14) + (-5.2) = -12.34

What is addition?

Addition is a mathematical operation in which two numbers are combined together using the addition symbol, +.

What is the answer to the given equation?

Since we have the equation (-7.14) + (-5.2), we desire to add both numbers together. We proceed to add the two numbers as follows.

(-7.14) + (-5.2) = -7.14 - 5.2

= -12. 34

So, we see that the answer to the addition equation (-7.14) + (-5.2) = -12.34

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