At Which values of x does the function f(x) have a vertical asymptote? Check all that apply

At Which Values Of X Does The Function F(x) Have A Vertical Asymptote? Check All That Apply

Answers

Answer 1

Answer:

C, D and E

Step-by-step explanation:

The denominator of f(x) cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the values that x cannot be and if the numerator is non zero for these values then they are vertical asymptotes.

solve 3x(x - 1)(x + 5) = 0

Equate each factor to zero and solve for x

3x = 0 ⇒ x = 0

x - 1 = 0 ⇒ x = 1

x + 5 = 0 ⇒ x = - 5

Vertical asymptotes at x = -5, x = 1 and x = 0

Answer 2

Answer:

0, 1, -5

Step-by-step explanation:


Related Questions

Malik’s solution to the equation 2/5x-4y=10 , when x=60, is shown below.

Answers

Answer:

D. Malik substituted 60 for y instead of x.

Step-by-step explanation:

Look closely at the step by step process.

Answer:Answer:

D. Malik substituted 60 for y instead of x.

Step-by-step explanation:

Look closely at the step by step process.

Step-by-step explanation:

Which of the following rules could represent the function shown in the table?

f(x) = -2x
f(x) = 2x-1
f(x) = 2x+1​

Answers

Answer:

f(x) = 2x+1​

Step-by-step explanation:

Equation in slope intercept form y = mx + b where m = slope b = y-intercept

To find slope ,

m = (y2-y1)/(x2 - x1)

m = (3 - 1) / (1 - 0)

m = 32/1

m = 2

y-intercept b = 1

In this case y = 2x + 1 or f(x) = 2x+1​

Find the zero of 5x – 20 = 0.

Question 10 options:

a)

5


b)

4


c)

0


d)

-20

Answers

Add 20 to the right side of the equation so that you have 5x = 20
Divide 5 from each side and you will have x= 4

Your answer is b

Answer:

The correct option B) 4.

Step-by-step explanation:

Consider the provided equation.

[tex]5x - 20 = 0[/tex]

To find the zero simplify the above equation as shown

Add 20 from both the sides.

[tex]5x - 20+20 = 20[/tex]

[tex]5x= 20[/tex]

Divide 5 from both the sides.

[tex]\frac{5x}{5}=\frac{20}{5}[/tex]

[tex]x=4[/tex]

Thus, the zero of the equation is [tex]x=4[/tex].

Hence, the correct option B) 4.

PLS Help !!!!
Which point on the graph represents the y-intercept?


V
W
Y
Z

Answers

Answer:

W, I believe

Step-by-step explanation:

Answer:

W

Step-by-step explanation:

The y intercept is where the graph crosses the y axis (where x=0)

This is the point W

Subtract these polynomials (6x^2-x+8) - (x^2+2)

A) 7x^2-x+6
B) 5x-x+6
C) 5x^2-x+10
D) 7x^2-x+10

Which one is it??

Answers

Answer:

option B

Step-by-step explanation:

(6x^2-x+8) - (x^2+2)

6x^2-x+8 - x^2-2

5x^2-x+6

At a town meeting, 9% of the people there vote to build a new town hall. If there are 2,000 people at the meeting, how many vote for a new town hall?

Answers

Answer:

180 voted in favor

Step-by-step explanation:

To find out how many people vote for the new town hall, take the number of people who voted and multiply by the percent who voted in favor

2000 * 9%

2000 * .09

180

180 voted in favor

The table below relates the number of rats in a population to time in weeks. Use the table to write a linear equation with w as the input variable.

P(w)=

Answers

Answer:

C(w) = 6w + 9

Step-by-step explanation:

Anytime 0 is given somewhere, it should be given close scrutiny. In an equation whose general form is

y = mx + b

0 will determine the y intercept immediately.

So when x = 0, y will equal

y = 0*m + 9

So b = 9

y = mx + 9 Now we need to find m

I should start using your variables.

C(w) = m*w + 9

when w = 3 then C(3) = 27

27= 3m +9

27-9 =3m + 9 -9

18 = 3m

18/3 = 3m/3

x = 6

So the complete equation is

C(w) = 6w + 9

Answer:

[tex]P(w)=6w+9[/tex]

Step-by-step explanation:

To find the linear equation, first we need to calculate the slope of that line, we is defined as

[tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

Where we need to use two points from the table: (0,9) and (4,33).

Replacing these points, we have

[tex]m=\frac{33-9}{4-0}=\frac{24}{4} =6[/tex]

Now, we use the point-slope formula to find the equation

[tex]y-y_{1} =m(x-x_{1} )\\y-9=6(x-0)\\y=6x+9[/tex]

Let's call [tex]y=P(w)[/tex] and [tex]x=w[/tex].

The equation that models the given table is

[tex]P(w)=6w+9[/tex]

HELPPPP

The model represents x2 – 9x + 14.
Which is a factor of x2 - 9x + 14?
OX-9
+x?
-x -x -x -x -x -x -x
DX-2
x + 5
X +7
what’s the correct answer?

Answers

Answer:

(x-2) (x-7)

Step-by-step explanation:

x^2 -9x+14

What two numbers multiply to 14 and add to -9

-2*-7 = 14

-2+-7 = -9

(x-2) (x-7)

the scatter plot graph shows the average annual income for a certain profession based on the number of years of experience which of the following is most likely to be the equation of the trend line for this set of data?

a. I=5350E +37100

b. I=5350E-37100

c. I=5350E

d. E=5350E+37100

Answers

Answer:

a. I=5350E +37100

Step-by-step explanation:

The trend line does not start at the origin so we can immediately rule out option C

The equation should be in slope intercept form so we can rule out option D, since E is the x axis and we are looking for y = mx + b not x = mx + b.

Option B is ruled out because if we plug in the value of E = 2 then we get:

I = 5350(2) - 37100

I = 10700 - 37100

I = -16400

Which is wrong since we are not in the negative so your answer is A

Answer:

wdawdwd

Step-by-step explanation:

HELP PLEASE>>WILL GIVE BRAINLEST TO WHO EVER ANSWERS IT Use the scenario to answer the question.

An egg farmer determined that it costs him $0.05 per egg to harvest chicken eggs. In addition, he spends $1000 each month for the upkeep of his farm.

Write an equation in slope-intercept form that represents the monthly cost of the farm in dollars y, when it produces x eggs.

Which answer correctly identifies the slope and equation for this situation?
select the corect answer.


A.The slope is −1000 because this is the monthly cost for upkeep at the farm. The equation is y=−1000x−0.05.

B.The slope is −0.05 because this is the cost per egg. The equation is y=−0.05x+1000.

C.The slope is 0.050.05 because this is the cost per egg. The equation is y=0.05x+1000.

D.The slope is 1000 because this is the monthly cost for upkeep at the farm. The equation is y=1000x.


Answers

Answer:

Step-by-step explanation:

Total cost here is a sum that increases with the number of eggs produced.

TC(x) = $1000 + ($0.05/egg)x, where x is the number of eggs produced.

The y-intercept is $1000; it is independent of the number of eggs produced.

The slope is $0.05/egg.

Answer C is correct.

Final answer:

The equation that represents the monthly cost y for producing x eggs is y = 0.05x + 1000, where 0.05 (the cost per egg) is the slope, and 1000 (the monthly upkeep cost) is the y-intercept. Thus, the correct answer is option C.

Explanation:

In the given scenario, the cost per egg is $0.05, which makes this the slope of the equation, as this is the cost that changes with the number of eggs produced, represented by x. The fixed cost of $1000 per month for the upkeep of the farm is the y-intercept because this cost does not change regardless of the quantity of eggs produced. Therefore, using y = mx + b (slope-intercept form), where y is the total cost, m is the cost per egg, x is the number of eggs, and b is the monthly upkeep cost, we get:

y = 0.05x + 1000

Hence, the correct answer is C: The slope is 0.05 because this is the cost per egg. The equation is y = 0.05x + 1000.

Learn more about Slope-Intercept Form here:

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What is the measure of x, in degrees

Answers

Answer: B is correct, 40 degrees.

Step-by-step explanation:

70 is the given angle, z is equivalent to that angle, so z is 70. So add those together, and you have 140. According to the rule, a triangle will always add up to 180. So 180-140=40 and there's your answer. Hope this helps!

HELPPP!!!


The graph shows how fast a strand of human hair grows.
How many inches would the hair have grown in 5 months

Answers

Answer:

2 and a half @ 2.5 inches (sorry i can't type the fraction)

Step-by-step explanation:

english is my second language so sorry if you doesn't understand:

(1/2, 1/4)=(x,y)

based on the graph shown that each grid on the y axis represents 1/4, that is the smallest scale stood in the y axis.

this means 2 grid= 1/4 x 2 = 1/2 @ 0.5 inches.

since the '5 months-hair-length' is above about 2 grid above 2 inch:

2 inch + 0.5 inch= 2.5 inch

Answer:

D

Step-by-step explanation:

The sum of two numbers is 86, and their difference is 20. Find the two numbers

Answers

Answer:

x = 53, y = 33

Step-by-step explanation:

Let one of the numbers = x, & the other = y. Set the equations:

x + y = 86

x - y = 20

This is a system of equation, in which the variables must be true for both of them.

First, choose a equation to use. In this case, I will choose x + y = 86. Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract y from both sides.

x + y = 86

x + y (-y) = 86 (-y)

x = 86 - y

Now, note the other equation: x - y = 20. You now know that x = 86 - y. Plug in 86 - y for x in the "other" equation:

x - y = 20

(86 - y) - y = 20

Simplify. Combine like terms:

86 - y - y = 20

86 - 2y = 20

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS (Parenthesis, Exponents (& Roots), Multiplication, Division, Addition, Subtraction):

First, subtract 86 from both sides:

86 (-86) - 2y = 20 (-86)

-2y = 20 - 86

-2y = -66

Isolate the variable, y. Divide -2 from both sides:

(-2y)/-2 = (-66)/-2

Note: Before we go any further, I want to remind you of division & multiplication rules. There are 3 kinds, when you are multiplying two positive numbers (+/+), when you are multiplying a positive number with a negative number (+/-), and when you are multiplying a two negative numbers (-/-). Note the "table" in the bottom:

________________________________________________________

(+/+) : Two positive numbers multiplied/divided with each other will always result in a positive answer:

Examples:

10/5 = 2

20/10 = 2

(+/-) : One positive number and one negative number multiplied/divided with each other will always result in a negative answer:

Examples:

20 x -5 = -100

50 x -3 = -150

(-/-) : Two negative numbers multiplied/divided with each other will always result in a positive answer:

Examples:

-30 x -5 = 150

-200/-10 = 20

________________________________________________________

Now, solve the equation:

(-2y)/-2 = (-66)/-2

y = -66/-2

Divide.

y = 33

One of your numbers (y) is 33. Plug in 33 for y in one of the equations:

x + y = 86

x + (33) = 86

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 33 from both sides.

x + 33 (-33) = 86 (-33)

x = 86 - 33

x = 53

Your answers: x = 53, y = 33.

Check: Plug in 53 for x, 33 for y in the equations:

x + y = 86:

(53) + (33) = 86

86 = 86 (True)

x - y = 20:

(53) - (33) = 20

20 = 20 (True)

Your answers: x = 53, y = 33

~

Answer: 53 and 33

Step-by-step explanation:

Let be "x" the first number and "y" the second number.

Based on the information provided we can set up a system of equations:

[tex]\left \{ {{x+y=86} \atop {x-y=20}} \right.[/tex]

Applying the Elimination method, we can add both equations and solve for the variable "x":

[tex]\left \{ {{x+y=86} \atop {x-y=20}} \right.\\................\\2x=106\\\\x=\frac{106}{2}\\\\x=53[/tex]

Now we can substitute [tex]x=53[/tex] into one of the original equations and solve for the variable "y":

[tex]53+y=86\\\\y=86-53\\\\y=33[/tex]

Determine whether the formula describes y as a function of x. Explain your reasoning.y = -x

Answers

Answer:

Yes, [tex]y=-x[/tex]  describes "y" as a funcion of "x", because  each input value (value of "x") has only one ouput value (value of "y").

 Step-by-step explanation:

By definition, a relation is a function if  each input value (value of "x")has only one ouput value (value of "y").

We need to remember that "y as a function of x" means that  "x" is the independent variable and "y" is the dependent variable or, in other words,  the value of the variable "y" depends upon the value of the variable "x".

Then, [tex]y=-x[/tex] is a function, because each input value has one and only one output value. For example:

If [tex]x=-2[/tex], then:

[tex]y=-(-2)=2[/tex]

If [tex]x=1[/tex], then:

[tex]y=-(1)=-1[/tex]

If [tex]x=5[/tex], then:

[tex]y=-(5)=-5[/tex]

Therefore,  [tex]y=-x[/tex]  describes "y" as a funcion of "x".

What is the range of y=log8^x
a) all real numbers less than 0
b) all real numbers greater than 0
C)all real numbers not equal to 0
d) all real numbers

Answers

Answer:

Option d) all real numbers

Step-by-step explanation:

we have

[tex]y=\log8^x[/tex]

using a graphing tool

The graph of the equation is a line that represent a direct variation ( the line passes through the origin)

therefore

The domain is all real numbers ---->interval (-∞,∞)

The range is all real numbers ---->interval (-∞,∞)

see the attached figure to better understand the problem

Classify the following triangle

Answers

Answer:

Isosceles and obtuse

Step-by-step explanation:

It is not a scalene triangle because it has two same lengths 41 degrees and 41 degrees.

It is a Isosceles triangle because two of the sides have the same lengths 41 degrees and 41 degrees

It is an obtuse triangle because it has on obtuse angle which is 98 and two acute angles that are 41 degrees

It is not an equilateral because not all of the sides are the same lengths

It is not a right triangle because there are 90 degree angles

It is not an acute triangle because not all the angles are acute angles

Final answer:

A triangle can be classified based on its angles and sides. A Trigonal Bipyramidal triangle has angles of 90 degrees or 120 degrees, and atoms can be positioned equatorially (in the plane of the triangle) or axially (above or below the plane). Always remember that the sum of all interior angles of a triangle is 180°.

Explanation:

The classification of a triangle depends on its angles and sides. If you have a triangle like a Trigonal Bipyramidal, the angles of such a triangle can be 90 degrees or 120 degrees. This relates to a three-dimensional trigonal bipyramidal molecular geometry where three atoms or groups of atoms are positioned in a flat triangle around a central atom, symmetrically positioned with 120° angles between each pair.

Another element you mentioned is the position of an attached atom in a triangle. This can be either equatorial (in the plane of the triangle) or axial (above or below that plane).

For detailed classification, always keep in mind that the sum of all interior angles of a triangle is always 180°. A triangle with one angle measuring 90° is a right triangle. An equilateral triangle has all angles measuring 60°. In the trigonal planar case, all atoms are in one plane, and bond angles are 120°.

Learn more about Triangle Classification here:

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what is the probability of rolling a 6 sided die and getting a 1 or a prime number

Answers

Answer:

P = 4 / 6 = 2/3 = 0.66 = 66%

Step-by-step explanation:

Assuming the die is numbered 1 to 6.

To answer the question, we first need to know many prime numbers can be represented on the die.  What are the prime numbers equal to 6 or lower?

We have 2, 3 and 5.  (since 4 and 6 are not prime numbers).  So we have 3 prime numbers, plus the number 1... so there are 4 possibilities valid for rolling a 1 or a prime number: 1,2,3 and 5.

4 possibilities out of 6 total possible outcomes, so...

P = 4 / 6 = 2/3 = 0.66 = 66%

Answer:

The probability of rolling a 6 sided die and getting a 1 or a prime number = 2/3

Step-by-step explanation:

The numbers on the die are 1, 2, 3, 4, 5 and 6

To find the probability

Total outcomes of rolling a die = 6

Prime numbers less than 6 are 2, 3 and 5

Possible outcomes(getting 1 or a prime number) =  1, 2, 3 and 5

Probability of getting 1 or prime number when rolling a die = 4/6 = 2/3

A die is rolled. What is the probability of rolling the following? A multiple of 3 or a multiple of 4

Answers

Answer:

1) 33.33%

2) 16.66%

Step-by-step explanation:

1) Since multiples of 3 in 1,2,3,4,5,6 include and limited to 3 and 6.  This means that 2 / 6 or 1 / 3.  This fraction is equal to 33.33%.

2) Since multiples of 4 in 1,2,3,4,5,6 include and limited to only 4.  This means that 1/6 and this fraction is equal to 16.66%.

Answer:

1/2.

Step-by-step explanation:

A multiple of 3 is 3 or 6 and a multiple of 4 is 4.

Probability(3 or 6) = 2/6 = 1/3.

Probability(4 ) = 1/6.

So Probability ( multiple of 3 or a multiple of 4) = 1/6 + 1/3

= 1/2.

Ms. Cassidy plotted the point (2, 3) on Miguel’s graph of y < 2x – 4. She instructed him to change one number or one symbol in his inequality so that the point (2, 3) can be included in the solution set. Which equations might Miguel write? Check all that apply

Answers

Answer:

C, D,F

Step-by-step explanation:

Answer:

Its C

Step-by-step explanation:

what is the answer to:
-1.5x -3.1 < 5.5

Answers

For this case we have the following expression:

[tex]-1.5x-3.1 <5.5[/tex]

Adding 3.1 to both sides of the inequality:

[tex]-1.5x <5.5 + 3.1\\-1.5x <8.6[/tex]

Dividing between -1.5 on both sides of the inequality, keeping in mind that the sign changes direction:

[tex]x> \frac {8.6} {- 1.5}\\x> -5.73333[/tex]

Answer:

[tex]x> -5.73333[/tex]

Write the inverse of the conditional statement. Determine whether the inverse is true or false. If it is false, find a counterexample.

An equilateral triangle has three congruent sides.
Select one:
A. A non-equilateral triangle has three congruent sides. False; an isosceles triangle has two congruent sides.

B. A figure that has three non-congruent sides is not an equilateral triangle. True

C. A non-equilateral triangle does not have three congruent sides. True

D. A figure with three congruent sides is an equilateral triangle. True

Answers

C. A non-equilateral triangle does not have three congruent sides. True

Zahra wants the equation below to have an infinite number of solutions when the missing number is placed in the box.

Answers

Answer:

box contains - 3

Step-by-step explanation:

a(x - 3) + 2x = -(x - 5) +4              Remove the brackets on both sides

ax - 3a + 2x = -x + 5   + 4             Subtract 2x from both sides.

ax - 3a + 2x - 2x = -x - 2x + 9

ax - 3a = - 3x + 9

ax - 3(-3) = - 3x + 9

ax + 9 = - 3x + 9

Now if you make a = -3 then both sides with have - 3 for the x coefficient.

Any number could be put in for x and it will make the answer on both sides equal. Notice you could subtract 9 from both sides and it will not change the condition of the problem.

Answer:

c = -3

Step-by-step explanation:

Call the unknown c

c(x-3) +2x = -(x-5) +4

Distribute the negative sign

c(x-3) +2x = -x+5+4

Combine like terms

c(x-3) +2x = -x +9

Subtract 2x from each side

c(x-3) +2x-2x = -x-2x +9

c(x-3) = -3x+9

Factor a -3 from the right side

c(x-3) = -3(x-3)

Divide by (x-3)

c = -3

The right and left hand side need to be equal for there to be infinite solutions, so c = -3

Describe the relationship between the area and the perimeter of two squares with a length of 2.5 and 5.

Answers

The perimeter and area are doubled. The small square is half of the bigger square

For this case we have by definition, that the area of a square is given by:

[tex]A = l ^ 2[/tex]

While the perimeter is given by:

[tex]p = 4l[/tex]

Where:

l: It's the side of the square.

Square 1: [tex]l = 2.5[/tex]

[tex]A = (2.5) ^ 2 = 2.5 * 2.5 = 6.25\\p = 4 (2.5) = 10[/tex]

Square 2: [tex]l = 5[/tex]

[tex]A = (5) ^ 2 = 5 * 5 = 25\\p = 4 (5) = 20[/tex]

We can see that the perimeter of the second square is double that of the first. In addition, the second area is four times that of the first square.

Answer:

[tex]p_ {2} = 2p_ {1}\\A_{2} = 4A_ {1}[/tex]

two parallel lines are crossed by a transversal what is the value of b ​

Answers

Answer:

b=128

Step-by-step explanation:

Answer:

Option D b = 128°

Step-by-step explanation:

There are two parallel lines p and q

These lines are crossed by a transversal m

then ∠b and ∠128° are the alternate angles.

which should be equal in measure.

Therefore, ∠b = 128°

Option D b = 128° is the answer.

The price of gas, which started at $2.25 per gallon, increased at a rate of 4% per year. Write the function that models the situation, substituting numerical values for A and r into the expression.

Answers

Answer:

[tex] f ( x ) = 2 . 2 5 ( 1 + 0 . 4 ) ^ x [/tex]

Step-by-step explanation:

We are given that the price of gas started at $2.25 and increased at a rate of 4% per year.

We are to write a function which models this situation using numerical values of A and r into the expression.

A = $2.25

r = 4%

Assuming x to be the time in years, the function would be:

[tex] f ( x ) = 2 . 2 5 ( 1 + 0 . 4 ) ^ x [/tex]

use the parabola tool to graph the quadratic function.
f(x)=(x-2)^2-3
graph the parabola by first plotting its vertex and then plotting a second point on the parabola

Answers

Answer:

Step-by-step explanation:

Simply by comparing the given

f(x)=(x-2)^2-3   to

f(x) = (x-h)^2 + k, we see that h = 2 and k = -3, which tells us that the vertex of the graph is (2, -3).  This parabola opens up because the coefficient of (x-2)^2 is +1.

Evaluating f(x)=(x-2)^2-3 at x = 4 (an arbitrary value), we see that

                 f(4) = (4-2)^2 - 3 = 4 - 3 = 1.

The point (4, 1) is also on the graph of this parabola.

Graph the vertex (2, -3) and the arbitrarily chosen point (4, 1).  Remember that (2, -3) is the minimum of this function, so for x other than 2, the y-value is greater than -3.


Sophie sprays 200 fluid ounces of water on the window plants in her house every day. How much water does she spray each day?







A. 1.5625 gal.


B. 1.7500 gal.


C. 2.250 gal.


D. 2.500 gal.



Answers

I think it is A not sure though

Answer:

A

Step-by-step explanation:

The domain of the following relation: R: {(3, 5), (8, 6), (2, 1), (8, 6)} is (1 point) No domain exists {1, 5, 6} {3, 8, 2, 8} {2, 3, 8}

Answers

Domain means all the x - values included in a set of data:

{(3, 5), (8, 6), (2, 1), (8, 6)}

It is unnecessary to put two of the same numbers. You only need to put one.

{2, 3, 8}

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer: Last option.

Step-by-step explanation:

By definition, the Domain is the set of all the x-coordinates of the ordered pairs (input values) and the Range is the set of all the y-coordinates of the ordered pairs (output values)

In this case you have the following relation:

[tex]R:[/tex]{[tex](3, 5), (8, 6), (2, 1), (8, 6)[/tex]}

You can identify that the set of all the x-coordinates is:

{[tex]3,8,2,8[/tex]}

You can observe that the input value 8 appears twice, but you only need to write it once.

Therefore, the Domain of that relation is:

[tex]Domain:[/tex]{[tex]2,3,8[/tex]}

Use the substitution method to solve the system of equations. Choose the
correct ordered pair,
16-2y=74
2x-2y=4

Answers

Answer:

(1) x= 5, y = 3

(2) x = -27, y = -29

Step-by-step explanation:

If the frist equation is 16x - 2y = 74

[tex]\\\\\left\{\begin{array}{ccc}8x-y=37\\x-y=2&\text{add y to both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}8x-y=37&(1)\\x=2+y&(2)\end{array}\right\\\\\\\text{substitute (2) to (1):}\\\\8(2+y)-y=37\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\16+8y-y=37\qquad\text{subtract 16 from both sides}\\7y=21\qquad\text{divide both sides by 7}\\\boxed{y=3}[/tex]

[tex]\text{put the value of y to (2):}\\\\x=3+2\\\boxed{x=5}[/tex]

If the first equation is 16 - 2y = 74

[tex]\left\{\begin{array}{ccc}16-2y=74&\text{divide both sides by 2}\\2-2y=4&\text{divide both sides by 2}\end{array}\right\\\left\{\begin{array}{ccc}8-y=37&\text{subtract 8 from both sides}\\x-y=2\end{array}\right\\\left\{\begin{array}{ccc}-y=29&\text{change the signs}\\x-y=2\end{array}\right\\\left\{\begin{array}{ccc}y=-29&\text{put it to the second equation}\\x-y=2\end{array}\right\\\left\{\begin{array}{ccc}y=-29\\x-(-29)=2\end{array}\right\\\left\{\begin{array}{ccc}y=-29\\x+29=2&\text{subtract 29 from both sides}\end{array}\right[/tex]

[tex]\left\{\begin{array}{ccc}y=-29\\x=-27\end{array}\right[/tex]

What is the initial value of the function represented by this table?

x y
0 4
1 9
2 14

a- 0
b- 4
c- 5
d- 9

Answers

Check the picture below.

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