The sum of two numbers is twenty-five. One number is five less than the other.

Answer:

Algebraic expression = x+3=2x-6

Step-by-step explanation:

Let the unknown number be x ;

[tex]x+3 =2x-6[/tex]

Further explanation

[tex]x+3=2x-6\\\\\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}x+3-3=2x-6-3\\\\Simplify\\x=2x-9\\\\Collect\:like\:terms\\x-2x =-9\\\\Simplify\\-x =-9\\\\\mathrm{Divide\:both\:sides\:by\:}-1\\\frac{-x}{-1}=\frac{-9}{-1}\\\\x =9[/tex]

The graphs that represent functions are given as follows:

a. Graph A and Graph C.

A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y.

For this problem, we have that:

Hence the graphs that represent functions are given as follows:

a. Graph A and Graph C.

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Answer: The only graphs that classify as function are Graph A and Graph C, so the answer is C. It's not possible for B and D to be functions.

Answer:

1009479

Step-by-step explanation:

637,391 + 372,088 = 1009479

Answer:

the answers 1009479

Step-by-step explanation:

Answer:

2501/50

Decimal:50.02

Step-by-step explanation:

5 × 10 + 2× 1/100

5 × 10 = 50

2 × 1/100 = 1/50

50 + 1/50

50×50. 1

_____ + ___

50. 50

50 × 50 + 1 = 2501 meaning 2501 over 50 is your answer

Answer:

100

Step-by-step explanation:

Hope this helped! ;)

Answer:

7x.

Step-by-step explanation:

Seven times a number = 7x.

An algebraic expression for the given statement is 7x.

The given statement is seven times a number.

We need to write an algebraic expression for the given statement.

An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.

Given that, use the variable x to represent the unknown number.

Now, seven times a number=7x

Therefore, an algebraic expression for the given statement is 7x.

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Answer:

In mathematics, counterexamples are often used to prove the boundaries of possible theorems. By using counterexamples to show that certain conjectures are false, mathematical researchers avoid going down blind alleys and learn how to modify conjectures to produce provable theorems.

Step-by-step explanation:

Answer:

50) 8, 16, 24, 32, 40, 48 (count by 8’s)

12, 24, 36, 48, 60, 72 (Count by 12’s)

Common Multiples: 24, 48

Least Common Multiple: 24

51) 7:  7, 14, 21, 28, 35, 42

11:  11, 22, 33, 44, 55, 66

Common Multiples: none

Least Common Multiple: none

52) 25:  25, 50, 75, 100, 125, 150

10:  10, 20, 30, 40, 50, 60

Common Multiples: 50

Least Common Multiple: 50

53) 24:  24, 48, 72, 96, 120, 144

36:  36, 72, 108, 144, 180, 216

Common Multiples: 72, 144

Least Common Multiple: 72

Step-by-step explanation:

50) 8, 16, 24, 32, 40, 48 (count by 8’s)

12, 24, 36, 48, 60, 72 (Count by 12’s)

Common Multiples: 24, 48

Least Common Multiple: 24

51) 7:  7, 14, 21, 28, 35, 42

11:  11, 22, 33, 44, 55, 66

Common Multiples: none

Least Common Multiple: none

52) 25:  25, 50, 75, 100, 125, 150

10:  10, 20, 30, 40, 50, 60

Common Multiples: 50

Least Common Multiple: 50

53) 24:  24, 48, 72, 96, 120, 144

36:  36, 72, 108, 144, 180, 216

Common Multiples: 72, 144

Least Common Multiple: 72

Answer:

We fail to reject the null hypothesis

Step-by-step explanation:

See the attachment for detailed calculations

Answer:

plane EHV

Step-by-step explanation:

To find the other name of plane T, we have to find any three non-collinear points on the plane T.

It means we have to find any three points which lie on the plane T but in a single straight line.

From the given figure it is clear that points E, H and V lie on plane T and they are not collinear.

Therefore, the other name of plane T is plane EHV.

Note: There are many other possible names of plane T, EHV is one of them.

Answer: One fourth of the entire trip.

Step-by-step explanation:

The initial distance is D.

" He fell asleep halfway home."

Then he fells asleep when the distance between his actual position and his house was half of D, or:

D/2.

"He didn't wake up until he still had half as far to go as he had already

gone while asleep."

So he wakes up when his actual position is a fourth of the initial distance:

(D/2)/2 = D/4.

Then if the entire trip has a distance D, and he was sleeping between:

D/2 - D/4 = 2D/4 - D/4 = D/4.

in a trip of a distance D, he was asleep a distance of D/4.

Then, returning to the question:

How much of the entire trip home was Samuel asleep?

This is equal to the quotient between the distance that he travels asleep and the total distance:

r = (D/4)/D = 1/4.

Then he was asleep in 1/4 of the entire trip.

Answer:

The digit in the ones spot will come out to be 4.

Step-by-step explanation:

Since the  are both an even number of ten, and you're subtracting 6, their both gonna come out to have a 4 in the ones spot in the number answer.

Well 50 is just 10 x 5 so...

if you solve 10 + 6 = 16 then you can do 50 + 6 = 56

Answer:

The height h it will travel in t minutes

Height h = 6 + 20(t)

Oh=20t + 6

Step-by-step explanation:

A hot air balloon starts at a height of 6 feet above the ground and then rises at a rate of 20 feet each minute.

Initial height h0 = 6 feet

Then it travel 29 feet each minute

Rate = 20 feet/ minute

The height h it will travel in t minutes

Height h = 6 + 20(t)

Answer:

The answer is B: $29.35x + $17.45y

Answer:

7th measurement = -26

Step-by-step explanation:

The sequence is 16, 9, 2, –5, ...,

First term( a)= 16

Second term=9

Common difference (d) = 9-16

Common difference= -7

The sequence is a arithmetic progression

For AP's ,the terms formula is

Term(n) = a + (n-1)d

Where n represent the term to be found

In this case,we Are looking for the 7th term , so n= 7

Term(7) = 16+ (7-1)-7

Term(7)= 16 +6(-7).

Term (7) = 16-42

Term(7) = -26

7th term =-26

Answer:

(3/2)x - 14

Step-by-step explanation:

If two lines are perpendicular, their slopes are mathematically negative reciprocals of one another.

Here the given line is y = (-2/3)x; the slope is -2/3, and the negative reciprocal of that is 3/2.  The desired line will have this slope 3/2.

Using the slope-intercept form of the equation of a straight line, y = mx + b, we write out

-8 = (3/2)(4) + b, obtaining -8 = 6 + b, or b = -14.

The desired equation is (3/2)x - 14.

Answer:

Week 3.

Step-by-step explanation:

Add up the hours for each week.

Week 3 is the highest at 36 hours.

Answer:

week 3

Step-by-step explanation:

week 3. it totals for 36 hours in this week

Answer:

-36

Step-by-step explanation:

4(1 - 25) + 70 - 10

PEMDAS

Parentheses first

4( -24) + 70 -10

Then multiply and divide

-96 + 70-10

Then add and subtract

-36

Answer:

A

Step-by-step explanation:

The average is over the months not added each month

Answer:

  1.2144xx

Step-by-step explanation:

The multiplier of value for the first year was (1 +38%) = 1.38.

The multiplier of value for the second year was (1 -12%) = 0.88.

Then the multiplier of value for the two years was ...

  1.38×0.88 = 1.2144

The value of the stock after 2 years was ...

  1.2144xx

_____

Comment on the variable

We have used the variable given in the problem statement (xx). If you intend something different, replace xx with the variable you intend.

Answer: -32, -11, 5, 31, 33

Answer:

-32, -11, 5, 31, 33

Step-by-step explanation:

The smallest one is -32. I know this because it's:

The next one is -11. -11 is the next smallest because it's:

The third one is 5. It's the third greatest because it's:

The fourth one is 31. It's the fourth greatest because it's:

The last one is 33. It's the greatest because it's:

Step-by-step explanation:

42x=252

x=252/4

x=6

well hope that helps

Answer: Answer is the steps

Step-by-step explanation:

Step 1:  Richie rewrite the equation as 24x + 18(x-2) =216

Step 2: Richie  applied the distributive property to eliminate the parentheses  and got the equation  24x + 18x - 32 = 216

Step 3: Richie combine like terms  to get the equation 42x -36 =216

Step 4: Richie added 36 to both sides to get the new equation 42x = 252  

Richie was not done solving for x so in

Step 5: Richie should have divided both sides by 42 to get  the final answer

x = 6.

Answer:

(a)

L is not reflexive, L is anti-reflexive  

L is not symmetric.

L is not anti-symmetric

L is transitive.  

(b)

D is reflexive

D is not symmetric.

D is anti-symmetric

D is transitive.

Step-by-step explanation:

a)

Given that;

domain of the given  relation L is the set of all real numbers

For x , y ∈ R , xLy if x less than y.

relation L, where xLy if x less than y, For x, y ∈ R

so For every x ∈ R, it is then false that x less than x.  

That is (x, x) does not belongs to L.

∴ L is not reflexive, L is anti-reflexive.

For every x,y ∈ R, if (x,y) ∈ L (i.e. x < y), then (y, x) does not belongs to L, since it is false that y < x.

∴ L is not symmetric.

For every x ∈ R, we can say  its  false that x less than x. That is (x, x) does not belongs to L.

∴ L is not anti-symmetric.

For every x,y,z ∈ R, if (x, y) ∈ L(i.e. x < y) and (y, z) ∈ L(i.e. y < z), then (x, z) ∈ L, since it is true that x<z when x<y and y<z.

∴ L is transitive.  

b)

Also lets consider a relation D, where xDy if there is an integer n such that y = xn, For x, y ∈ Z.

Now

For every x ∈ Z, it is true that x = x × 1. That is (x, x) belongs to D.

∴ D is reflexive,

For every x,y ∈ Z, if (x,y) ∈ P (i.e. y=x × n), then (y, x).

if (x,y) ∈ D, then there exist an integer n such that y=x × n.

Then x = y × (1/n).

Thus, (y,x) does not belongs to D, since 1/n is not an integer, but it is a real number.

∴ D is not symmetric.

For every x,y ∈ Z, if (x,y) ∈ D (i.e. y=x × n), then (y, x) also belongs to D only when x=y. where n=1.

∴ D is anti-symmetric.

For every x,y,z ∈ Z, if (x,y) ∈ D (i.e. x × n1= y), and (y,z) ∈ D (i.e. y × n2 = z), then (x,z)∈ D.

if (x,y) ∈ D, then there exist an integer n1 such that y=x × n1.

if (y,z) ∈ D, then there exist an integer n2 such that z=y × n2.

Thenz = (x × n1) × n2 ⇒ z=x × (n1 × n2).  

where (n1 × n2) is an integer. Thus (x,z) ∈ Z

∴ D is transitive.

Answer:

  1/2 liter

Step-by-step explanation:

If she starts with 1 1/2 liters and removes 1/4 liter, the remaining amount is ...

  (1 1/2) -(1/4) = 1 2/4 -1/4 = 1 1/4 . . . liters.

The brother drinks 2/5 of that, so drinks ...

  (2/5)(1 1/4 L) = (2/5)(5/4 L) = 2/4 L = 1/2 L

Rosanne's brother drinks 1/2 L of the lemonade.

Answer:

The  points are

        [tex]t_1 =  0.7433[/tex]

        [tex]t_2 = -0.299[/tex]

Step-by-step explanation:

From the question we are told that

   The  first equation is  [tex]x(t) = 3t^3 -2t^2-2t -4[/tex]

     The second equation is  [tex]y(t) =  3t^2 -2t -2[/tex]

Now differentiating the first and second equation

        [tex]\frac{dx(t)}{dt} =  9t^2 -4t-2[/tex]

and

      [tex]\frac{dy(t)}{dt} =  6t-2[/tex]

Now

     [tex]\frac{dy(t)}{dx(t)}  =  \frac{\frac{dy(t)}{dt} }{\frac{dx(t)}{dt} } = \frac{9t^2 -4t-2}{6t-2}[/tex]

at critical point

     [tex]\frac{dy(t)}{dx(t)}  = 0[/tex]

=>   \frac{9t^2 -4t-2}{6t-2}=0[/tex]

=>   [tex]9t^2 - 4t-2 = 0[/tex]

solving using quadratic formula we have that

     [tex]t_1 =  0.7433[/tex]

and [tex]t_2 = -0.299[/tex]

Answers:

The term "root" is another way of saying "zero of a function"

============================================

Explanation:

To find the roots, we need to solve f(x) = 0 for x

f(x) = 0

5x/(x^2 - 25) = 0

5x = 0*(x^2-25)

5x = 0

x = 0/5

x = 0

Plugging x = 0 into f(x) leads to f(x) = 0.

The root is x = 0 meaning the x intercept is at 0 on the x axis number line. This is the origin (0,0).

---------------

To find the vertical asymptotes, set the denominator equal to 0 and solve for x

x^2 - 25 = 0

x^2 - 5^2 = 0

(x-5)(x+5) = 0 ... difference of squares rule

x-5 = 0 or x+5 = 0

x = 5 or x = -5

If either x = 5 or x = -5, then then the denominator x^2-25 is zero

We cannot divide by zero, so these values are excluded from the domain, and this produces the vertical asymptotes.

--------------

The horizontal asymptote is y = 0 because the degree of the numerator is 1, while the degree of the denominator is 2. The denominator's degree is larger, which leads to y = 0. The rules for finding the horizontal asymptote are

For those rules above, m and n are the degrees of the numerator and denominator respectively. The a,b refers to the leading coefficients of the numerator and denominator.

The asymptotes and zero of the function are ±5 and 0 respectively

Given the function below;

[tex]f(x)=\frac{5x}{x^2-25}[/tex]The vertical asymptotes occur at the point where the function goes large that is the denominator is zero.

If the denominator is zero, hence;

x^2 - 25 = 0

x^2 = 25

x = ±√25

x = ±5

Hence the asymptotes of the function is ±5

For the zero of the function;

[tex]\frac{5x}{x^2-25}=0\\5x = 0\\x = 0\\[/tex]

Hence the zero of the function is 0

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Answer:

Hey!

Your answer is 123,500!

Step-by-step explanation:

TO ROUND TO THE NEAREST HUNDRED we need to look at the TENS column...

IN THIS CASE WE LOOK AT '5'...

If its bigger than 4 INCREASE THE DIGIT IN THE HUNDREDS PLACE BY ONE

If its smaller than 5 DECREASE THE DIGIT IN THE HUNDREDS PLACE BY ONE!

So as 5 is a digit that makes us ROUND UP...we change 4 to a 5 to have 123,500 as our answer!

HOPE THIS HELPS!

Answer:

Step-by-step explanation:

40n + 30 = -170

40n + 30 = -170

40n = -200

n = -5

Hey There!! ☄️ The general vertex to The general vertex form is this:

v(x) = a (x-h)2 + k

where (h,k) is the coordinates of the of vertex.

and a indicates the widening or shrinking of the function compared to another parabolic function. If a become bigger, the graph becomes narrower. If a becomes negative, the graph is reflected over the x-axis.

Comparing f(x) = x2 with g(x) = -3(x+6)2 + 48, we have the following transformations:

The graph is reflected over the x-axis

The graph is made narrower.

The graph is shifted 6 units to the left.

The graph is shifted 48 units up.

From the choices we only have:

The graph of f(x) = x2 is made narrower

The graph of f(x) = x2 is made narrower.

It is given that f(x) = x2 and  g(x) = –3x2 – 36x – 60.

To find the transformations applied to the graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The general vertex to The general vertex form is this:

v(x) = a (x-h)2 + k

where (h,k) is the coordinates of the of vertex.

Indicates the widening or shrinking of the function compared to another parabolic function. If a become bigger, the graph becomes narrower. If a becomes negative, the graph is reflected over the x-axis.

Comparing f(x) = x2 with g(x) = -3(x+6)2 + 48, we have the following transformations:

The graph is reflected over the x-axis.

The graph is shifted 6 units to the left.

The graph is shifted 48 units up.

From the choices we only have:

So, the graph of f(x) = x2 is made narrower.

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Answer:

900   + 20 + 7

Answer:

[tex]900+20+7[/tex]

Step-by-step explanation:

Write 927 as a mathematical expression in expanded form.

So we see the number 927. It has hundreds, tens, ones. So the only thing we have to do it separate the number by hundreds, tens, ones. So now, let's start!

Hundreds: [tex]900[/tex]

Tens: [tex]20[/tex]

Ones: [tex]7[/tex]

We have 900, 20, and 7. Let's try adding them up to make 927.

[tex]900+20+7[/tex]

[tex]=927[/tex]

This is how we do 927 in expanded form.

Hope this Helps!