HELPPPPP
What are the coordinates of the hole in the graph of the function?

f(x)=x^2−3x−10/x−5
Enter your answer in the boxes.

Answers

Answer 1

Answer: If the function is: f(x) = (x^2−3x−10)/(x−5) The function has no holes.

If the function is f(x) = x^2−3x−10/x−5 then the hole is at x = 0 (the left side goes up, and the right side goes down, as the numerator is a negative number)

Step-by-step explanation:

I am not shure of what is the function, as you used no parentheses in it, so i will solve it for two different functions:

We have the function:

f(x) = (x^2−3x−10)/(x−5)

We want to find the "hole", this means that we want to find the value of x where the denominator is equal to zero.

If you look at the function, is easy to think that in x = 5 the denominator will be equal to zero, but we need to prove it.

First, we need to see if the numerator part is also zero when x = 5.

so

5^2 - 3*x - 10 = 25 -15 - 10 = 0

Ok, let's find the other root of the quadratic function:

x^2 - 3*x - 10 = (x - 5)*(x - b) = x^2 - (b + 5)*x + (b*5)

then we have: (b + 5) = 3 and b*5 = -10

then b = -2, this means that we can write the numerator part as:

x^2 - 3*x - 10 = (x - 5)*(x + 2)

then our function is:

f(x) =   (x - 5)*(x + 2)/(x - 5) = x + 2

This function has no holes.

Now, if the function actually is:

f(x) = x^2−3x−10/x−5

Then we have an x on the denominator of the third term of the equation, this denominator is 0 only when x = 0


Related Questions

Find an equation for the line that passes through the points (2, 3) and (-6, 5).

Answers

So the answer is -1/4x+3.5, thats the answer ok

FernandoFernando buys juicejuice to make punchpunch for all hishis friends. HeHe buys 11 pintpint of juicejuice and one half 1 2 gallongallon of juicejuice. How many cupcups of juicejuice does hehe ​buy?

Answers

Answer:

10 cups

Step-by-step explanation:

He buys 1 pint of juice and 1/2 gallon of juice.

We have to convert pint and gallon to cups and then add them.

1 pint = 2 cups

1 gallon = 16 cups

1/2 gallon = 1/2 * 16 = 8 cups

Therefore,

2 + 8 = 10 cups

Fernando buys 10 cups of juice.

A student says that 5x2=20, then x must be equal to 2. Do you agree or disagree with the student? Justify your answer.

Answers

Answer:

Step-by-step explanation:

I disagree. If each side of the equation is divided by 5, the result is x2 = 4. By the square root property of equality, x = -2 or x = 2. So x could be -2 instead of 2.

Answer:

I disagree. If each side of the equation is divided by 5, the result is x2 = 4. By the square root property of equality, x = -2 or x = 2. So x could be -2 instead of 2.

Step-by-step explanation:

I need help with these asap like i’ll fr cashapp you momey if you do it i need it for todayyy wassup?!!

Answers

Answer:

Look at the picture**

Step-by-step explanation:

X2

Answer:

Step-by-step explanation:

x2

At the gym, Polina put 4 five-pound weights onto a barbell that weighed 22 pounds without any weights on it. If Polina lifted the barbell with both arms, which expression can be used to determine the weight that each arm was lifting?

[(4 × 5) ÷ 2] + 22
(4 × 5) ÷ 2 + 22
[22 + 4 × 5] ÷ 2
22 + (4 × 5) ÷ 2

Answers

Answer:

D. 22+(4×5)÷2

Step-by-step explanation:

Four 5 pound weight=(4×5)

Barbell weighed 22 pounds

={(4×5)+22}

Paulina lifted it with both arms

Both arms=2

{(4*5)+22}/2

It can be rewritten as

22+(4*5)÷2

Express 7040 in its standard form

Answers

the answer would be 7.04^3

Answer:

[tex]7.040 \times {10}^{3} [/tex]

Step-by-step explanation:

First write this number like this

[tex]7.040[/tex]

Then,

[tex]7.040 \times {10}^{3} [/tex]

To check whether your answer is correct you can do like this

[tex]7.040 \times {10}^{3} [/tex]

[tex] {10}^{3} = 10 \times 10 \times 10 \\ \: \: \: \: \: \: \: \: \: \: = 1000[/tex]

[tex]7.040 \times 1000 \\ = 7040[/tex]

yes, your answer is correct.

hope this helps

brainliest appreciated

good luck! have a nice day!

NEED ANSWERS FAST AS CAN, I WILL GIVE BRAINLIEST TO THE RIGHT ANSWERS. 1.Using the following image, find the midpoint of the line by completing the problems below. 2.Given the points (−2,5)and (6,−1)the midpoint is? 3.Given the points (9,−4)and (−5,2)the midpoint is ? 4.Given the points (−2,−5)and (−6,7)the midpoint is...The graph doesn't go with 2-4

Answers

Answer:

Calculate distance first - so using the image we know that if we use pythogorean theorm we can get 2 vectors of this line, 1 completely vertical and one completely horizontal. Apply pythogorean theorm to the line and use for all other question. So 6^2+2^2=c^2

36+4=c^2

distance √40 half of it is √10

So we can use for this for it. (4-√10, 0-√10) so its (4-√10, -√10) for first one

Now that we dont have the image for the line we can apply the distance formula because we dont have clear view of points for #2. -2-6 = -8 then we need 5-1 = 4, -8^2+4^2 = c^2 so then sqrt(80) is distance. 2√5 is half. So then we subtract from (-5, 2) highest point on graph.( -5-√20, 2-√20).

Since this is heavily on writing I expect you to do the rest. Calculating the distance and pythogorean theorm on your own.

First 2 answers are

(4-√10, -√10)

( -5-√20, 2-√20)

Need your help Plz help me

Answers

Answer:

c

Step-by-step explanation:

Answer:

C. -0.6

Step-by-step explanation:

-2.1-x=-1.5

-x=0.6

x=-0.6

3х + y = 8
x - Зу = 11

Answers

Answer:

y = 8-3x and y = -11/3 + x/3

For the first equation you have to subtract 3x from both sides of the equation. for the second equation you have to move all terms that doesn't contain y to the right side and solve

write with fractional exponents. (do not use parentheses)

ASAP ASAP IM REALLY BAD AT ALGEBRA ): !!!!!

Answers

Answer:

4y^3/2

Step-by-step explanation:

The 4 will remain 4 so we'll leave that alone. √y³ can be written as y^3/2. The way I like to remember how to write fractional exponents is that the index of the radical is the denominator of the fractional exponent and the exponent inside the radical is the numerator.

The revenue from selling xshirts is r(x) = 12x.

The cost of buying x shirts is c(x) = 5x + 20

The profit from selling x shirts is p(x) = r(x)-c(x).

What is P(x)?

A. p(x)=7x+20
B. p(x)=17x-20
C. p(x)=17x+20
D. p(x)=7x-20​

Answers

Answer:

D. [tex]p(x)=7x-20[/tex]

Step-by-step explanation:

[tex]r(x) = 12x\\c(x) = 5x + 20\\p(x) = r(x)-c(x)\\p(x)=12x-(5x+20)\\p(x)=12x-5x-20\\p(x)=7x-20[/tex]

Simply subtract the two functions from each other and simplify to get the result.

umm what are the answers for :
21% of 36570
12.2% of 640
87.5% of 860
37.5% of 3200
awwwww pls help meh!!! i need to know asap...please..try help!!...thank u sooo much!!
lu yall..pls help!!!

Answers

Step-by-step explanation:

21% of 36570

21/100 x 36570 = 7679.7

12.2% of 640

12.2/100 x 640 = 78.08

87.5% of 860

87.5/100 x 860 = 752.5

37.5% of 3200

37.5/100 x 3200 = 1200

Write Successor of 999 please help me ​

Answers

Answer:

1000

Step-by-step explanation:

The successor of 999 is 1000

999+1=1000

SUCCESSOR

The number which comes immediately after a particular number is called its successor.  The successor of a whole number is the number obtained by adding 1 to it.  Clearly, the successor of 0 is 1; successor of 1 is 2; successor of 2 is 3 and so on.

from this equation, y=12x+1, which of these are true?
the slope is 12
the x intercept is 1
the slope is 1
the y intercept is 12

Answers

Answer:

the slope is 12

Step-by-step explanation:

y=12x+1 is from the formula y=mx+b where m is the slope and b is the y-intercept.

Since 12 has replaced m, it is the slope.

Since 1 has replaced b, it is the y-intercept.

"the slope is 12" is the correct answer choice.

A music teacher bought 19 recorders. She
spent a total of $57. Each recorder was
the same price. The equation 19r = 57
can be used to find r, the price of each
recorder in dollars. What was the price
of each recorder?

Answers

Answer:

r = 57/19 = 3

Step-by-step explanation:

can someone answer number 11 and show the work? I need it bad, please .

Answers

Answer: 8

Evaluating the function for x = -1

[tex]f(x)=x^2+7\\f(-1)= (-1)^2+7\\f(-1)=8[/tex]

The expression sin^-1(4/5) has and infinite number of values. True or false?

Answers

It is indeed false.

[tex]\sin^{-1}x[/tex] is a function that takes values of [tex]x[/tex] between -1 and 1, and takes on values between -π/2 and π/2. Most importantly, it's a function that takes *one* value in its domain and assigns it to exactly *one* value in its range. Hence [tex]\sin^{-1}x[/tex] is one-to-one.

It's true that [tex]\sin x=\frac45[/tex] has infinitely many solutions, but [tex]\sin x[/tex] itself is not one-to-one.

Answer:

False

Step-by-step explanation:

help me pleaseeee due in one minute

Answers

Answer:

The anwer is 1/2

[tex]P=N_Y/Total=3/6=1/2[/tex]

which law would you use to simplify the expression 3^10/3^4

Answers

Answer:

I would use the "quotient rule of exponents"

Step-by-step explanation:

I would use the "quotient rule of exponents" which states that to divide two exponents that have the same base, the result is the same base to an exponent which equals the subtraction of the exponent in the numerator of the original expression minus the exponent that base has in the denominator.

That is:

[tex]\frac{a^m}{a^n} =a^{m-n}[/tex]

Then in this case the simplified expression would be:

[tex]\frac{3^{10}}{3^4} =3^{10-4}=3^6[/tex]

Answer: quotient of powers

Step-by-step explanation:

Suppose the manager of a restaurant in a commercial building has determined that the proportion of customers who drink tea is 24%. Based on a random sample of 300 customers, what is the standard error for the sampling distribution of the sample proportion of tea drinkers?

Answers

Answer:

0.427

Step-by-step explanation:

Standard error for the sampling distribution refers to the standard deviation of the samples taken from a population. The standard error equals the standard deviation divided by the square root of the sample size

The probability of customers who drink tea (p) = 24% = 0.24, the sample size of customers (n) = 300.

Standard error = [tex]\frac{\sigma}{\sqrt{n} }[/tex] where σ is the standard deviation.

[tex]\sigma=\sqrt{np(1-p)}[/tex]

Standard error = [tex]\frac{\sigma}{\sqrt{n} }= \frac{\sqrt{np(1-p)} }{\sqrt{n} } =\sqrt{\frac{np(1-p)}{n} } =\sqrt{p(1-p)}=\sqrt{0.24(1-0.24)} =0.427[/tex]

Can u guys PLEASE answer this question ASAP. A line passes through the point (2,4) and has a gradient 2. Find the y-coordinate of the point on the line when x=3

Answers

y=2

Step-by-step explanation:

Make an equation of straight line by using the formula :y= mx+c

put the x-value of point (2,4) which is 2 and the gradient,m which is 2 into the straight line equation:

y=2x +c

So you need to find the y-intercept to complete the equation, therefore:

when y=0,

0=2(2)+c

c=-4

next the question ask to find the y-coordinate when x =3, therefore you just need to replace x in the equation with 3:

y=2(3)-4

y=4

What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)

Answers

Answer:

a

Step-by-step explanation:

The equation of the line that has a slope of 3 and goes through the point (-3,-5) will be y = 3x + 4. Then the correct option is A.

What is the equation of line?

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The slope of the equation is 3. Then the equation of the line is given as,

y = 3x + c

The equation of the line is passing through the point (-3,-5), then the equation of line will be

  y = 3x + c

–5 = 3(–3) + c

–5 = –9 + c

  c = 9 – 5

  c = 4

Then the equation of the line will be

y = 3x + 4

Thus, the equation of the line that has a slope of 3 and goes through the point (-3,-5) will be y = 3x + 4.

Then the correct option is A.

More about the equation of line link is given below.

https://brainly.com/question/21511618

#SPJ5

50 pts help pls...

Combine Felix's and Tyler's data. What is the mean of the combined data? Include your calculations as part of your answer. (Hint: Use a shortcut to find the answer.)

Felix

mean = 9.4

median = 7

Tyler

mean = 54

median = 66

Answers

Felix and Tyler means
Mean = (9.4+54)/2= 31,7
Median= (7+66)/2= 36,5

Is this what you are looking for??

How many solutions does this linear system have?
Y= -1/2x + 4 x + 2y=-8

Answers

Answer:

No solutions

Step-by-step explanation:

[tex]y=-\dfrac{1}{2}x+4 \\\\x+2y=-8[/tex]

Substitute:

[tex]x+2(-\dfrac{1}{2}x+4)=-8\\\\x-x+8=-8\\\\8=-8[/tex]

This system has no solutions.

Hope this helps!

The distance between the Sun and the Earth is 1 .496 x 1O^8km and distance between the Earth and lhe Moon is 3.84 x 10^8m. During solar eclipse. The Moon comes in between the Earth and the Sun. What is the distance between the Moon and the Sun at that particular time?

Answers

Answer:

1.49216*10^8 km

Step-by-step explanation:

The first thing is to pass all the distances to the same unit system, since the distance from the earth to the sun is in kilometers and from the earth to the moon is in meters, therefore we will pass the distance of the moon in kilometers:

3.84 x 10 ^ 8m * 1 km / 1000 m = 3.84 x 10 ^ 5 km

To calculate the distance between the moon and the sun, it would be the difference between the distance they give us in the statement, because they have a point in common which is the earth, it would be:

1.496 x 10 ^ 8 km - 3.84 x 10 ^ 5 km = 149216000 = 1.49216 * 10 ^ 8 km

Therefore the distance between the moon and the sun is 1,49216 * 10 ^ 8 km

Write an equation perpendicular to the line y = 3x + 5 through the point (6, -5). State your answer as y=mx+b.

Answers

Answer:

y=(-1/3) x - 3

Step-by-step explanation:

A line that is perpendicular to it has a slope that is an opposite reciprocal, which in this case is -1/3.  Now you use point slope form which is y-y1=m(x-x1) that would be y+5=-1/3(x-6).  Distribute the -1/3 and get y+5= -1/3 x+ 2.  Subtract 5 from both sides and get y=-1/3 x - 3

Hey if you could help me with this it'd mean a lot I can't figure it out

L+S=17
3L+2S=46
What is S and what is L?

Answers

Answer:

L = 12  S = 5

Step-by-step explanation:

L+S=17

3L+2S=46

Multiply the first equation by -2

-2L -2S = -34

Then add it to the second equation

-2L -2S = -34

3L+2S=46

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

L = 12

Now we can find S

L+S = 17

12 + S = 17

Subtract 12 from each side

S = 17-12

S = 5

In right triangle ABC, ∠C is a right angle and sin A = sin B. What is m∠A?

Answers

Answer:

If sinA = sinB, that means that ∠A = ∠B. Because this is a right triangle, ∠A = 45°.

Solve for x X+10y=1550

Answers

Answer:

X=1550-10y

Step-by-step explanation:

X+10y=1550

Subtract 10y from each side

X+10y- 10y=1550-10y

X=1550-10y

Answer:

[tex]x = 1550 - 10y[/tex]

Step-by-step explanation:

[tex]x + 10y = 1550 \\ x + 10y - 10y = 1550 - 10y \\ x = 1550 - 10y[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

the ratio of zinc to copper is 3:19,
if theres 741 copper how much zinc is there?

Answers

Answer:

117

Step-by-step explanation:

For every 3 zinc there would be 19 copper, and for every 19 copper there would be 3 zinc. There are 741 copper, so there would be 741 * 3 / 19 zinc, which turns out to be 117 zinc.

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