Expression for the quotient of twice a number, and the sum of the number and seven

When the definition of a function involves a fraction, the function is undefined at any value that would make the denominator of the function is; a) 0

What is an Undefined Function?

A function that is a fraction is said to be undefined when the denominator is equal to zero. If there are variables in the denominator, the point at which the expression in the denominator is zero is the point where that function is undefined.

From the question, we want to know what the value of the denominator of a fraction will be to make that fraction undefined. From the definition above, it is clear that the value would be zero.

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Answer:

$200

Step-by-step explanation:

1/5 of 500 is 100 because 5 100s equal 500. so 3 years is 300. 500-300=200

Answer:

3 because everything is minus

Answer:

102.0625 square units

Step-by-step explanation:

First determine the length of each side using the distance formula  for two points. Then use Heron's formula to determine the area of a triangle given three sides

Distance Formula

The distance between two points is the length of the path connecting them

The distance between points (x₁, y₁) and (x₂, y₂) is given by the Pythagorean theorem:

[tex]d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}[/tex]

Let's compute the lengths of the sides FH, FG and HG

The three vertices are F(-2, 5)   G(7, -10) and H(-9, -6)  as indicated on the graph

So length FG between (-2,5) and (7,-10)

[tex]FG= \sqrt {(7 - (-2))^2 + (-10 - 5)^2}[/tex]

[tex]= \sqrt {(9)^2 + (-15)^2}[/tex]

[tex]= \sqrt {{81} + {225}}[/tex]

[tex]= \sqrt {306}[/tex]

FG [tex]= 17.492856[/tex]  (round to 17.5)

Length FH between(-2,5) and (-9, -6) is

[tex]FH = \sqrt {(-9 - (-2))^2 + (-6 - 5)^2}[/tex]

[tex]= \sqrt {(-7)^2 + (-11)^2}[/tex]

[tex]= \sqrt {{49} + {121}}[/tex]

[tex]= \sqrt {170}[/tex]

FH [tex]= 13.038405[/tex]  (can be rounded to 13.04

Length GH between (7, -10) and (-9, -6) is

[tex]GH = \sqrt {(-9 - 7)^2 + (-6 - (-10))^2}[/tex]

[tex]= \sqrt {(-16)^2 + (4)^2}[/tex]

[tex]= \sqrt {{256} + {16}}[/tex]

[tex]= \sqrt {272}[/tex]

GH [tex]= 16.492423[/tex]   (can be rounded to 16.5)

Determining the area of a triangle given 3 sides

Heron's formula allows us to find the area of a triangle given 3 sides If the sides are a, b and c the general form of Heron's formula is

[tex]Area = \sqrt {s(s-a)(s-b)(s-c)}[/tex]

where s is the semi-perimeter = [tex]\frac{a+b+c}{2}[/tex]

Substituting values we get

s = [tex]\frac{17.5+13.04+16.5}{2} = 23.52[/tex]

[tex]Area = \sqrt {23.52(23.52-17.5)(23.52-13.04)(23.52-16.5)}[/tex]

[tex]= \sqrt{23.52\cdot6.02\cdot10.48\cdot7.02}[/tex]

[tex]102.0625[/tex]  square units

AAnswer:

AB (-1, 4) = 34^ and B = (3,-1) 249*32 = 20

Step-by-step explanation:

Answer:

[tex]AB=\sqrt{53}\:\sf units[/tex]

[tex]EF=\sqrt{349}\:\sf units[/tex]

Step-by-step explanation:

Distance between two points

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\textsf{where }(x_1,y_1) \textsf{ and }(x_2,y_2)\:\textsf{are the two points}.[/tex]

Given:

Substitute the given points into the distance formula and solve for AB:

[tex]\begin{aligned}\implies AB & =\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\& =\sqrt{(3-(-4))^2+(-1-1)^2}\\& =\sqrt{(7)^2+(-2)^2}\\& =\sqrt{49+4}\\& = \sqrt{53}\end{aligned}[/tex]

Given:

Substitute the given points into the distance formula and solve for EF:

[tex]\begin{aligned}\implies EF & =\sqrt{(x_F-x_E)^2+(y_F-y_E)^2}\\& =\sqrt{(11-(-7))^2+(3-(-2))^2}\\& =\sqrt{18^2+5^2}\\& =\sqrt{324+25}\\& =\sqrt{349}\end{aligned}[/tex]

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Answer:

A. 5,420

Step-by-step explanation:

4 in 542 is in the tens place and 4 in 5,420 is in the hundreds.

The number A. 5420 has a 4 that is 10 times greater than the 4 in 542.

The standard decimal form of numbers is written in base 10 as there are 10 different numbers from 0 to 9.

Each digit has a face value and a place value.

The expanded form of 542 is 5×100 + 4×10 + 4.

So, 10 times greater than it should be a multiple of 100 or a digit in the hundreds place.

From the given options the number 5420 in the expanded form is,

5×1000 + 4×100 + 2×10 + 0.

So, The number 5420 has a 4 that is 10 times greater than the 4 in 542.

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Answer:

5 4/29

Step-by-step explanation:

Rewrite as 298/58 and do the math

The ordered pair for each letter on the graph would be A at (2, 4), B at (-1, 2), C at (-3, -2), D at (2, 0), E at (0, 4), and F at (5, -5).

A graph can be defined as a pictorial representation or a diagram that represents data or values.

As per the given graph,

The coordinates of point A would be (2, 4)

The coordinates of point B would be (-1, 2)

The coordinates of point C would be (-3, -2)

The coordinates of point D would be (2, 0)

The coordinates of point E would be (0, 4)

The coordinates of point F would be (5, -5)

Therefore, the ordered pair for each letter on the graph would be A at (2, 4), B at (-1, 2), C at (-3, -2), D at (2, 0), E at (0, 4), and F at (5, -5).

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Hi 

let call "a number" X.

then we have: 4-13X = X + 8 ..

Answer:

math BE hard hard hard hard

Answer:

Math is actually easy for me. I started going into 7th grade when I was in 6th grade and it was just a month after school started.

Step-by-step explanation:

I guess you guys need help. Everyone needs help sometimes and I get it. So math is easy for me but It might be hard for you. I'm out.

Answer:

No

Step-by-step explanation:

By the time they meet at their first meet, they would have practiced for 630 minutes total.

70*3=210

If they meet every three days each week for 70 mins each day then I would have to multiply the answer to learn how many minutes they gain each week.

210*3=630

If they have 210 mins per week and they only meet 3 times before the first meet, they will have only met for a total of 630 mins.

Answer:

Step-by-step explanation:

When we divide one number by another and there is no remainder, the divisor A the quotient are the of the first number.

8/2=4

Answer:

USE AIR MATH!!

Step-by-step explanation:

hope that helps

Using derivatives, the equation for the marginal product of labor is given by:

Q'(L) = 5 - 2L.

As stated in the problem, the “marginal product of labor” is the change in the total product as we change the amount of hired labor, hence it is given by the derivative of the production as a function of labor.

For this problem, the production function is given by:

Q(L) = 5L - L².

Hence the marginal product of labor is given by:

Q'(L) = 5 - 2L.

Which is the derivative of Q(L), found applying the derivative of a power of x, as follows:

[x^n]' = nx^(n-1).

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Answer:

The new average is

63.75kg

Step-by-step explanation:

We have 15 boys with avg. weight of 65kg. That means that the sum of their weights is:

15*65kg = 975kg

We add a boy weighing 45kg. The new sum is

975kg + 45kg = 1020kg

To get the new average, we need to divide by the number of boys. It's no longer 15, because we've added one. It's now 16

avg_weight = 1020kg / 16 = 63.75kg

Answer:

7

Step-by-step explanation:

[tex]2 \times p \times q - r\\= 2 \times 3 \times 2 - 5\\= 2 \times 3\\= 6\\= 6 \times 2\\= 12\\= 12 - 5\\= 7[/tex]

the answer is d just did it

The Equation of the tangent line is y = 4x - 1.

According to the statement

We have to find that the equation of the tangent of the line.

So, For this purpose, we know that the

Equation of the tangent line can be found using the formula y – y1 = m (x – x1), where m is the slope and (x1, y1) is the coordinate points of the line.

From the given information:

f(x) = 3 X at (1, 3)

Then

The tangent line of a curve y = f(x) is a line that touches the curve at a point (x0, y0). Its slope (m) is found by substituting the point where it is drawn in the derivative f'(x) and its equation is found by using y - y0 = m (x - x0).

From the given it is clear that the slope of the equation is a 3.

Then m = 3

then

y – y1 = m (x – x1)

Substitute the points here

y - 3 = 4(x - 1)

Then

y = 4x - 4 +3

y = 4x - 1.

So, The Equation of the tangent line is y = 4x - 1.

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Answer:

12

Step-by-step explanation:

3*4 = 12

12/6 = whole number

6/4 is not a whole number

12 is the lowest it could be.

Also those kids have issues.

Answer: 24/25

The answer to the question is 0.96, 0.96 in simplest form is 24/25

Answer: 1/10

Step-by-step explanation:

Answer:

75 =x

Step-by-step explanation:

We can use angle addition to find the measure of angle x

30 + 45 = x

75 =x

Answer:

x = 75°

Step-by-step explanation:

x = 30° + 45°

x = 75°

since W is the midpoint, that simply means that both halves are twins, so

[tex]V\stackrel{9x+7}{\rule[0.35em]{10em}{0.25pt}} W\stackrel{16x - 28}{\rule[0.35em]{10em}{0.25pt}} Y \\\\\\ \stackrel{VW}{9x+7}~~ = ~~\stackrel{WY}{16x-28}\implies 7=7x-28\implies 35=7x\implies \cfrac{35}{7}=x \\\\\\ \boxed{5=x}\hspace{5em}\stackrel{VW}{9(5)+7\implies 52}\hspace{5em}\underset{52~~ + ~~52}{\stackrel{\textit{\LARGE VY}}{104}}[/tex]

The length of segment VY, represented by "a," is 25x - 21.

To find the length of segment VY, we can use the fact that W is the midpoint of VY. The midpoint of a line segment divides it into two equal parts. Therefore, the length of VW plus the length of WY equals the length of VY.

Let VY be represented by "a." Then, according to the midpoint property:

VW + WY = VY

Substitute the given expressions for VW and WY:

(9x + 7) + (16x - 28) = a

Now, combine like terms:

25x - 21 = a

So, the length of segment VY, represented by "a," is 25x - 21.

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Let us understand the properties of Logarithms. In mathematics Logarithms are the inverse of exponential function. In the simplest case, the logarithm counts the number of times same factor in present in a repeated multiplication.

A logarithm of a number 'x' to a base 'y' is defined as:

[tex]log_y^x=z (y > 0)[/tex]

which represents [tex]y^{z} =x[/tex]

According to the properties of Logarithm :

Now let us solve the given problem:

[tex]2 log (x-y)=log x+ log y\\or,log(x-y)^2=log(xy)\\or,log(x^2+2xy+y^2)=log(xy)[/tex]

[tex]or,x^{2} +2xy+y^{2}=xy\\[/tex] ( taking anti-logarithms on both sides)

[tex]or,x^{2}+y^{2}=xy+2xy[/tex]

Now let us use the above equation to solve

Left Hand Side:

[tex]2 log(x+y)\\=log(x+y)^2\\=log(x^{2} +2xy+y^{2} )\\=log(x^2+y^2+2xy)\\=log(xy+2xy+2xy)\\=log(5xy)\\=log(5)+log(x)+log(y)[/tex]

=Right Hand side

Hence the statement is proved by using the properties of logarithm.

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The following mistakes were made in the solution of the inverse function:

Therefore, the first error is caused by the incorrect variable swap.

The correct expression is:

The following error is:

The correct expression:

Finally, the domain is incorrect.

As a result, the following errors were made in the inverse function solution:

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The correct question is given below:
Identify the errors made in finding the inverse of y = x2 + 12x.

Describe the three errors.

Answer:

consumer panic

Step-by-step explanation:

An inference which this passage would best support is that: A. the people at the store do not share Julia’s heritage.

Deductive reasoning can be defined as a type of logical reasoning that typically involves drawing conclusions based on a given set of rules and conditions, or from one or more premises (factual statements) that are assumed to be generally (universally) true.

An inference can be defined as a process through which a reader can logically deduce the meaning or message (information) that is associated with a literary work, especially through induction.

Since "Happy Graduation, Julie." and "Names/Nombres," were inscribed on the gift, it ultimately implies that the people at the store were obviously of English speaking heritage, rather than Spanish (Julia’s heritage).

In conclusion, we can reasonably infer and logically deduce that an inference which this passage would best support is that: A. the people at the store do not share Julia’s heritage.

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Answer: A

Step-by-step explanation: