If f(x) = ax + b represents a linear function, describe the a and b values that produce a constant function?

Answers

Answer 1

In f(x)=ax+b, 'a' is the slope and b is the initial value or y intercept

Given :

Given function is f(x)=ax+b

f(x)=ax+b is the linear equation

The graph of a linear equation is a line. The value of 'a' tell us the steepness of the line that is the slope of the line .

'b' is the initial value . when x=0, f(x)=a(0)+b

that is f(0)=b

So, 'b' is the initial value or y intercept.

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Related Questions

Find the distance between the two points rounding to the nearest tenth (if necessary).
(5,-5) and (8,-8)

Answers

Answer:

4.2

Step-by-step explanation:

d=sqrt[(x1-x2)^2+(y1-y2)^2]

d=sqrt[(5-8)^2+(-5+8)^2]

d=sqrt[(-3)^2+(3)^2]

d=sqrt[9+9]

sqrt18=4.24

What is the value of log, 1257
0 3
O 5
o 15
o 25

Answers

i think the answer is a (3g

A logarithm is just the opposite function of exponentiation. The common logarithm is called the natural logarithm and the natural logarithm is called the base e logarithm. The value of log, 1257 is 3. The correct option is A.

What is logarithm?

In mathematics, logarithms are defined as the another way of writing the exponents. A logarithm of a number with a base is equal to another number. A logarithm can be defined as the power to which a number should be raised to obtain some other values.

There are two types of logarithms, they are common and natural logarithm. The common logarithm defines how many times we have to multiply the number 10 to get the required output whereas the natural logarithm shows how many times we have to multiply 'e' to get the required output.

Here the value of log 1257 = 3.099 ≈ 3

Thus the correct option is A.

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(1/2)^x=2^-x could anyone tell me why​

Answers

Answer:

Anything to a negative power is always the reciprocal. An example might be 2⁻² can be written as 1/4

Step-by-step explanation:

Find three consecutive even integers such that five times the second is six more than twice the sum
of the first and third integers

Answers

Answer:

The first number = 4The second number = 6The third number = 8

Step-by-step explanation:

Let all unknown numbers be represented by the variable x.So;

x = first number

x + 2 = second number

x + 4 = third number

placing in a form as demanded by the question.

5(x + 2) = 6 + 2x + 2 ( x + 4)

5x + 10 = 6 + 2x + 2x +8

5x - 4x = 14 - 10

x = 4

Therefore;

The first number (x) = 4

The second number ( x + 2) = 4 + 2 = 6

The third number (x + 4) = 4 + 4 = 8

Answer:

2x + 2x +2 + 2x +4 = 6x +6 =Sum

5 * (2x +2) = 2 * (2x + 2x +4) +6

10x + 10 = 8x + 8 + 6

2x = 4

x = 2

So the numbers are:

2x or 4

2 x + 2 = 6

2x + 4 = 8

Double-Check

5 * 2nd integer = 30

2 *  (1st + 3rd integers) = 24

30 is 6 more than 24

Success!!!

Step-by-step explanation:

2/1 rounded to the nearest thousandth

Answers

Answer:

when you divide 2by1you get 2so you can't really round off

What is the answer plz answer this one

Answers

Answer:

it would be the 1st option or in other words the one on the top left

Which shape fits the description below?
A three-sided figure with angle measures of 60°, 60°, and 40°.
X.
Y.
Z.
OA. Y
OB. Z
OC. X
OD. The shape is nonexistent.

Answers

Answer:

OD for a triangle to exist it must equal 180 degrees as a final and this one only equals 160

Answer:

D. The shape is nonexistent.

Step-by-step explanation:

A triangle's angles must add up to 180 degrees.

60+60+40 is 160.

160[tex]\neq[/tex]180

A53 degrees
B143degrees
C37degrees
D90degrees
????????????

Answers

Answer:

143 = EFD

Step-by-step explanation:

The two angles form a straight line

AFD = 180

AFD = AFE + EFD

180 = 37+ EFD

180 -37 = EFD

143 = EFD

Find the value of x that will make L||M.

Answers

Answer:

Corresponding angles are equal

8x + 2 = 7x + 9

8x - 7x = 9 - 2

x = 7

In a rotation, pairs of corresponding points are on parallel lines?

Answers

Step-by-step explanation:

Corresponding angles are congruent if the two lines are parallel. All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs.

what is -3 5/6x-4/7?

Answers

Answer:

35

x

6

4

7

35x   -   4

6            7

Step-by-step explanation:

Math For test HELPPPP plz due in 45 mins

Answers

It’s BD because it need to be the opposite ray and this one is the opposite ray so yes this is it

Alex is 1.3 meters tall. His brother, Raul, is 0.6 times as tall as Alex. How tall is Raul?

Answers

Answer:

.78

Step-by-step explanation:

1.3 x0.6 is .78. easy peasy

Given an isosceles right triangle that is oriented so that it is sitting on its hypotenuse, and the length of the hypotenuse is 12 mm. What is the height (from the hypotenuse to the vertex of the two legs) of this triangle as it sits

Answers

Answer:

5,12,13

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Margot draws a shape with one pair of parallel lines that are four centimeter apart she then flips the shape across a horizontal line how many pairs of parallel lines are on the flipped shape?

Answers

Here we have a problem of reflections and of how these reflections affect lines. Here we will find that the reflection does not affect the pair of parallel lines, and in the flipped shape we still have a pair of parallel lines.

We can define two parallel lines as two lines that never meet.

And, for a given point (x, y), the simplest reflection across a horizontal line is the reflection across the x-axis (or the line y = 0) as it transforms the point into:

(x, - y)

And all the reflections across horizontal lines will only affect the y-value of the points.

Now, particularly, we have two vertical and parallel lines.

Notice that a vertical line is defined by its x-value, and the transformation we used does not affect the x-value, so a reflection across a horizontal line will not affect a vertical line.

From this, we can conclude that the reflection across a horizontal line will not affect the pair of vertical parallel lines, so at the end, we still have only one pair of parallel lines.

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Is this right besties ? I’m doing a package because my schools shutdown :((

Answers

Answer:

Everything is good but the 7th one. it shold be 6.009x10^-3

Give the slope and the y-intercept of the line with the given equation. Then, graph the linear equation.
y = 3x+5
What is the slope?
A. The slope is
B. The slope is undefined.

Answers

Answer:

A

Step-by-step explanation:

The slope is the coefficient of the x term, that is 3

150 miles in 6 gallons to the nearest hundredth

Answers

Answer:

do you have any photo reference to the actual question at this time?

What are the potential solutions of In(x2 - 25) = 0?
Ox= 113
O x= 15
x=+26
Ox=+10

Answers

Answer:

e^0=x^2-25=1

x^2=26

x=sqrt(26), pos and neg

The potential solution of the given equation is x=±√26. Therefore, option C is the correct answer.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The given equation is ln(x²-25)=0

x²-25>0

(x+5)(x-5)>0 (∵a²-b²=(a+b)(a-b))

x>-5 and x>5

Now, e⁰=x²-25

1=x²-25

x²=26

x=±√26

Therefore, option C is the correct answer.

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Free fall on a small airless planet. A rock released from rest to fall on a small airless planet falls y = gt^2 m in t sec, g a constant. Suppose that the rock falls to the bottom of a crevasse 20m below and reaches the bottom in 4 sec. A) Find the value of g. B) Find the average velocity for the fall. C) With what velocity did the rock hit bottom?

Answers

If a rock released with an initial velocity = u

If it falls under gravity 'g' for 't' seconds,

Expression to find the distance covered will be,

[tex]y=ut+\frac{1}{2}t^2[/tex]

If the initial velocity is zero expression for the distance covered will be,

[tex]y=\frac{1}{2}gt^2[/tex]

Here, g = Gravitational pull Or acceleration due to gravity

A). If the distance covered 'y' = 20 m

     And t = 4 seconds

     By substituting these values in the expression,

     [tex]20=\frac{1}{2}g(4)^2[/tex]

     [tex]20=8g[/tex]

     [tex]g=2.5[/tex] m per sec square

B). Average velocity of a free falling body = [tex]\frac{\text{Initial velocity}+\text{Final velocity}}{2}[/tex]

    Initial velocity of the object = 0

    Final velocity = [tex]g\times t[/tex]

                           = [tex]2.5\times 4[/tex]

                           = [tex]10[/tex] meter per sec.

    Therefore, average velocity = [tex]\frac{0+10}{2}[/tex]

                                                    = [tex]5[/tex] meter per second

C). Since, the rock hits the bottom after [tex]4[/tex] seconds,

     Velocity with which the rock will hit the ground [tex]=gt[/tex]

                                                                                     [tex]=10[/tex] m per sec.

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It's geometry please help me

Answers

Answer:

x=13

Step-by-step explanation:

C is the midpoint of line BD, BC=CD. 6x-16=4x+10, x=13

Pls help I am giving brainliest

Answers

Answer:

17.3

Step-by-step explanation:

let required number is x

100% of x =7.3

1% of x =7.3/100

1% of x= 0.073

237% of x=0.073*237

237% of x=17.3

Multi step equations

Answers

Answer:

Step-by-step explanation:

1) -28r +14=-12r-2

-16r=-16

r=1

~~~~~~~~~~~~~~~~

2) -35x+5=6x-36

-41x=-41

x=1

Evaluate each expression for the given values of m and n. 2m - 4n(3m – 4) if m= 1 and n= -3 (2)​

Answers

Answer: -22

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given information

m = 1

n = -3 (2) = -6

Given expression

2m - 4n (3m - 4)

Substitute values into the expression

=2(1) - 4(-6) (3(1) - 4)

Simplify by multiplication

=2 + 24 (3 - 4)

Simplify values in the parentheses

=2 + 24 (-1)

Simplify by multiplication

=2 - 24

Simplify by subtraction

=[tex]\boxed{-22}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

K is between J and M. L is
between K and M. M is
between K and N. If JN = 14, KM = 4, and JK = KL = LM, what is NL?

(do step-by-step fully pls)

Answers

Step-by-step explanation:

given,

K is between J and M, L is between K and M, M is between K and N. JN = 14, KM=4 and JK= KL= LM

NL=?

according to the question,

J-------K-------L------M--------N

We know,

KM= 4

KL+LM=4

KL+KL=4 (LM=KM)

2KL=4

KL=2

SO,

JK=KL=2 and LM=KL=2

we have ,

JN=14

JK+KM+MN= 14

2+4+MN=14

MN=8

Now,

NL=LM+MN= 2+8= 10

If A/B and C/D
are rational expressions, then
AxC/BxD = AxD/BxC
A. True
B. False

Answers

Answer:

True

Step-by-step explanation:

If A/B and C/D are rational expression then

A/B*C/D

Or

A/B*C/D=A/C*B/D

It means that if A/B and C/D are rational expression then their product with each other will also be a rational expression.

2. Find the domain of the function (f/g)(x) where f (x)= x^2 – 9 and g(x)= x^2 - 4x+3

A (-infinity, infinity)
B (-infinity, 1) (1, infinity)
C (infinity, 1) (1,3) (3, infinity)
D (-infinty, -3) (-3,-1)(-1, infinity)

Answers

Answer:

I think you mean C.

Step-by-step explanation:

f(x) / g(x) = (x + 3)(x - 3)

                ==========

                  (x - 3)(x - 1)

f(x)/g(x) = (x+3) / (x - 1)

- ∞ < 1 U 1 < 3 U 3 < ∞  

give in example of pemdas plz!

Answers

Answer:

Examples of PEMDAS: When we first learn math, equations only have one operation. We either add, subtract, multiply, or divide. Examples: 2 + 3 = 5 9 - 2 = 7 10 x 3 = 30 81/9 = 9.

Step-by-step explanation:

Answer:

Remember that PEMDAS requires you to solve Multiplication/Division from left to right based on whichever comes first. In this example, when moving from left to right, multiplication comes first so you would first perform 8 x 8 = 64

Hope this helps <3

How to do 6x times 1/x

Answers

Answer:

6

Step-by-step explanation:

6x * 1/x = 6x/1 * 1/x the x on top cancels the x on bottom so

= 6/1 * 1/1 = 6

what are surds? how many types of surds are there?​

Answers

When we can't simplify a root under variable further or we can't remove the root sign that is called surd.It may be a square root or cube root or n th root .They are especially called irrational numbers.

Ex:-

[tex]\\ \rm\longmapsto \sqrt{9}=3[/tex]Hence its not a surd.

but

.

[tex]\\ \rm\longmapsto \sqrt{3},\sqrt{7}[/tex]Are surds.

There are six types of surds such as :

Simple surdsPure SurdsSimilar SurdsMixed SurdsCompound SurdsBinomial Surds.
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