Answers
Answer:
A rational function is any function which can be written as the ratio of two polynomial functions, where the polynomial in the denominator is not equal to zero. The domain of f(x)=P(x)Q(x) f ( x ) = P ( x ) Q ( x ) is the set of all points x for which the denominator Q(x) is not zero.
Hope this helps!!! :D
9514 1404 393
Answer:
f(x) = (x^2+2)/(x-1)
Step-by-step explanation:
In simplest form, it will be a quadratic divided by (x-1). The quadratic must have no zeros, and a y-intercept of 2.
One such could be ...
f(x) = (x^2 +2)/(x -1)
__
The numerator polynomial must have no zeros in order to prevent the rational function from having zeros. It must be a function that has a degree an odd number greater than the denominator function. The denominator function can have only one zero, at x=1. The ratio of the functions must have a net odd degree and the overall leading coefficient must be positive in order to make the end behavior match the requirement.
Related Questions
The formula that converts degrees Fahrenheit to degrees Celsius is:
C =
5
9
(F – 32)
Rewrite the formula to make F the subject.
Answers
Answer: F = C/59 + 32
Assignment #17 Slope from points
Find the slope from the points
This is for algebra 1 and I need help!!
Answers
Answer:
2/3
Step-by-step explanation:
rise over run so you go done then over
Answer:
2/3
Step-by-step explanation:
When counting the slope from points, I like to use this method. Pick 2 points you see the line crosses through and then count the steps up/down and to the side one is from the other. In this case, you can count like this:
"Up 2, over 3"
Now we know the slope is 2/3.
HTH :)
You and a friend are knitting a scarf that will be 72 inches long. Your friend knits the first 24 inches and then gives you the scarf to finish. You expect to knit at a rate of 8 inches per day.
Answers
At a rate of 8 inches per day, we can work out how long it will take us by doing 48 divide 8, which is 6.
Therefore it would take you 6 days to finish the scarf.
CAN SOMEBODY HELP ME WITH THIS PLEASE RIGHT ANSWERS ONLY
You work 4 hours on Monday, 4.5 hours on Tuesday, 7.25 hours on Thursday, and 12 hours on Saturday. If you get paid $11.52 per hour, what is your total pay for the week?
Answers
Answer:
$319.68
Step-by-step explanation:
First, you have to add up all the hours. 4 + 4.5 + 7.25 + 12 = 27.25. Then, you multiply that times the amount of money per hour (11.52) and get $319.68 for the whole week. Hope this helped! If it did, please mark me as brainliest. Thanks!
24-x-24=-16-24
Solve each step.
Answers
24-x-24=-16-24
1. Subtract the numbers
-x=-16-24
2. -x=-16-24
-x=-40
3.Divide both sides of the equation by the same term
-x=-40
-x/-1=-40/-1
4. simplify
x=40
Which number is equivalent to the fraction ?
Answers
Answer:
15/7 = 2.14 or 2 1/7
Hope This Helps!
Answer:
2 1/7
Step-by-step explanation:
15/7 is an improper fraction, in the picture, I have shown you the steps to make a proper fraction to improper
29. In the figure below, linee is the graph of which of
the following equations?
-7
.
-4
1
2 3
5
6
A. 2y = x + 2
B. 2y = 2x
C. y = x + 1
D. 2y = x-2
E. 2y = x+1
Answers
Answer:
A)2y=x+2
Step-by-step explanation:
What is the slope of a line parallel to the line whose equation is 3x – 3y = -45.
Fully reduce your answer,
Answers
Answer:
One
Step-by-step explanation:
A parallel line has the same slope of the original graph. Because of this, all we need to do is put the equation you gave into slop-intercept form, or:
y = mx + b
Don't forget that m is the slope, and b is the y-intercept!
3x - 3y = 45
-3y = -3x + 45
y = x + 15
Compare this to the equation of the slope-intercept form and look for m:
y = mx + b
There's nothing in front of the variable! No worries, that's the same thing as saying 1x.
But mathematicians are a little lazy (lol) and they don't want to mistake the number 1 for the lowercase letter L or a capital i. Because of that, they made 1x equal x.
Long story short, the slope for the equation (3x – 3y = -45) is one. And because parallel lines have the same slope as their original counterparts, the slope is one as well!
I recommend trying a few other problems like these. You'll end up using them a lot in the future!
Good luck and keep studying!
What is the sum of the solutions of the 2 equations below?
-14x = 280
9 + 5y = 69
A. -20
B. 12
C. -12
D. -8
E. 8
Answers
Answer:
D. -8
Step-by-step explanation:
-14x = 280
So x = -20
9 + 5y = 69
5y=60
So y=12
-20+12 = -8
Which pairs of expressions are equivalent? Select all that apply.
A
-4 - 7 and -4 + (-7)
B
16 - 7 and -16 + 7
C
-7 - (-12) and -7 + 12
D
-2 - 3 and 2 + 3
E
10 - 2 and 10 - (-2)
Answers
Answer:
A & C
-4-7=-11 and -4+(-)=-11
-7-(-12) and -7+12
Step-by-step explanation:
-4-7= -11, -4+ (-7)= -11
-7-(-12) turns into -7+12=5
the second equation is the same as the first (after using PEDMAS), resulting in the answering being -7+12=5
The pairs of expressions that are equivalent will be -4 - 7 & -4 + (-7) and -7 - (-12) & -7 + 12. Then the correct options are A and C.
What is an equivalent?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Check all the options, then we have
A. -4 - 7 and -4 + (-7), then we have
-4 - 7 = - 4 + (-7)
B. 16 - 7 and -16 + 7, then we have
16 - 7 ≠ - 16 + 7
C. -7 - (-12) and -7 + 12, then we have
- 7 - (-12) = - 7 + 12
D. -2 - 3 and 2 + 3, then we have
- 2 - 3 ≠ 2 + 3
E. 10 - 2 and 10 - (-2), then we have
10 - 2 ≠ 10 - (-2)
The pairs of expressions that are equivalent will be -4 - 7 & -4 + (-7) and -7 - (-12) & -7 + 12. Then the correct options are A and C.
More about the equivalent link is given below.
https://brainly.com/question/889935
#SPJ3
Which is the slope of the line that passes through the points (−3,1) and (4,−2)?
CLEAR CHECK
slope =−3
slope =−37
slope =12
slope =−73
Answers
Answer:
The slope of the line is [tex]-\frac{3}{7}[/tex] ⇒ B
Step-by-step explanation:
Let us revise the rule of the slope
The rule of the slope of the line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points lie on the line∵ The line passes through the point (-3, 1) and point (4, -2)
→ That means one of them is (x1, y1) and the other is (x2, y2)
∴ x1 = -3 and y1 = 1
∴ x2 = 4 and y2 = -2
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{-2-1}{4--3}[/tex] = [tex]\frac{-3}{4+3}[/tex]
∴ m = [tex]-\frac{3}{7}[/tex]
∴ The slope of the line is [tex]-\frac{3}{7}[/tex]
y= -2(x-3)(x-2) to standard form
Answers
will mark brainliest if answered correctly
Answers
180-109=71
Answer:71
Answer:
x=71 degrees
Step-by-step explanation:
Graph the line for y+2=32(x+4) on the coordinate plane
Answers
Answer:
39
Step-by-step explanation:
(3=4)=7 y+2=32 so y is 30 and 7 + 32 is 39
In the triangle ABC, point M is the midpoint of AB and point G in the medicander. It is given that CG = 15 cm. Find how much GM is equal to.
Help me with math.
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]CG = \frac{2}{3} CM \\ [/tex]
[tex]15 = \frac{2}{3} CM \\ [/tex]
[tex] \frac{2}{3} CM = 15 \\ [/tex]
Multiply sides by 3
[tex]3 \times \frac{2}{3} CM = 3 \times 15 \\ [/tex]
[tex]2CM = 45[/tex]
Divide sides by 2
[tex] \frac{2CM}{2} = \frac{45}{2} \\ [/tex]
[tex]CM = 22.5[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]CM = CG + GM[/tex]
[tex]22. = 15 + GM[/tex]
[tex]GM + 15 = 22.5[/tex]
Subtract sides 15
[tex]GM + 15 - 15 = 22.5 - 15[/tex]
[tex]GM = 7.5[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
11=w÷4 how much does w=
Answers
Hope this helps!
Jiro and Joey share a 30-ounce box of cereal. By the end of the week, Jiro has eaten 3/10 of the box, and Joey has eaten 3/5 of the box of cereal. How many ounces are left in the box?
Answers
Answer:
6 ounce of cerealStep-by-step explanation:
Step one:
given that the box is 30 ounce of cereal.
for Jiro----who ate 3/10 of the 30 ounce
=3/10*30
=9 ounce
Jiro ate 9 ounce
step two:
for Joey----who ate 5/10 of the 30 ounce
=5/10*30
=15 ounce
Joey ate 15ounce
the total ounces that both of them ate is
=9+15
=24
therefore the ounce left
=30-24
=6 ounce of cereal
The left over is 6 ounce of cereal
help meeeeeeeeee plzzzzzzzzzzzzz
Answers
Answer:
91 x
Step-by-step explanation:
Ok, so I'm lost here...
Your have money in your wallet, but you don't know the exact amount. When a friend asks you, you say that you have 50 dollars give or take 15. Use an absolute value equation to find least and biggest amount of money in your pocket?
Answers
Answer:
boom bam
Step-by-step explanation:
x - 50 = 15
x - 50 + 50 = 15 + 50
x = 65
Equation #2
x - 50 = -15
x - 50 + 50 = -15 + 50
x = 35
The least amount is 35 dollars and the biggest amount is 65 dollars.
Answer: $45
EXPLANATION:If you have 50 dollars, to find the least amount SUBTRACT the $15 not add.
50 - 15 = $45.
A student writes the equation for a line that has a slope of -6 and passes through the point (2, –8).
y -(-8) = -6(x - 2)
y -(-8) = -6x + 12
y -(-8) + 8 = -6x + 12 + 8
y = -6x + 20
Explain why the work is not correct.
HURRY PLEASE!
Answers
This equation written in slope intercept form would be y = -6x+4.
He messed up because he was supposed to change the double negative into a positive then solve. He was not supposed to add 8 on both sides.
So, the answer is y = -6x+4.
Hope this helps!
the drama club sold tickets for its show. they sold student tickets for $12 each and adult tickets for $15 each. a total of 650 tickets were sold, and the drama club made $8550 from ticket sales. how do the total sales for each ticket type compare? A. 150 more student tickets were sold than adult tickets B. 180 more adult tickets were sold than student tickets C. the club made $4800 more on student tickets than adult tickets D. the club made $1050 more on adult tickets than student tickets
Answers
The correct answer is: A. 150 more students tickets sold than adult tickets.
What is the correct answer for both ?
Answers
Answer:
19. Option A
20. Option B
Step-by-step explanation:
Answer of 20 is B by following the same steps
A while back, either James borrowed $12 from his friend Rita or she borrowed $12 from him, but he can’t quite remember which. Either way, he is planning to pay her back or ask that she pay him back this afternoon. If he has $42.80 in his wallet, which equation represents the amount of money he may have after he sees Rita?
|x – 42.80| = 12
|x + 42.80| = 12
|x – 12| = 42.80
|x + 12| = 42.80
Answers
Answer:
|x – 42.80| = 12
Step-by-step explanation:
x – 42.80 = -12
x=30.8
x – 42.80 = 12
x=54.8
|x - 42.80| = 12 equation represents the amount of money James may have after he sees Rita
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The equation that represents the amount of money James may have after he sees Rita is |x - 42.80| = 12.
This equation reflects the fact that James either borrowed $12 from Rita
so he would subtract $12 from his current amount, or Rita borrowed $12 from him, so he would add $12 to his current amount.
Therefore, the |x - 42.80| = 12 equation represents the amount of money James may have after he sees Rita
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ7
if DE is a perpendicular bisector find AE
Answers
Answer: dc
Step-by-step explanation:
Answer:
Look at the picture.
By the definition of a perpendicular bisector, we can conclude that angle B is a right angle and DB=BE, and AB is a common line segment shared by both triangles above. Using SAS (Side-Angle-Side), we can conclude that both the triangles are congruent, therefore:
x
−
10
=
2
x
−
34
x
=
24
So now for AE:
24
−
10
=
14
Step-by-step explanation:
this is due today can anyone help me plsssss
Answers
Answer:
-19.68
-1/10x+8/5
25 1/3
-50
22.75
Step-by-step explanation:
Answer:
6) 22.75gallons
7) -50feets
8) 25⅓ inches
9)2/5
10) -19.68
Can someone teach me how to do this im a good learner i just missed days
Answers
Please answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answers
Answer:
14
Step-by-step explanation:
Line a passes through points (2, 1) and (7, 9). Line b is perpendicular to a. What is the slope of line b?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
please refer to the pic below for the solution! :)
The slope of the perpendicular line will be - 5/8.
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (2, 1) and (7, 9).
Now,
Since, We know that;
The slope of the line passing through the points (x₁ , y₁) and (x₂, y₂) is;
⇒ m = (y₂ - y₁) / (x₂ - x₁)
So, The slope of the line passing through the points (2, 1) and (7, 9) is;
⇒ m = (y₂ - y₁) / (x₂ - x₁)
⇒ m = (9 - 1) / (7 - 2)
⇒ m = 8 / 5
Since, The product of the slope of the perpendicular lines is - 1.
Here, Line b is perpendicular to a.
So, The slope of the line b is,
m₂ = - (1/8/5)
= - 5/8
Thus, The slope of the perpendicular line will be - 5/8.
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ2
Sarah is making chili she has 0.15 g of a secret ingredient to each liter of chili she makes if she has 3 g of her secret ingredient how many liters of chai can she make?
Answers
Answer: She can make 20 liters of chai.
Step-by-step explanation:
As per given,
1 liter of chair requires 0.15 g of secret ingredient.
So , for 1 g of secret ingredient , quantity of chai she would make = [tex]\dfrac{1}{0.15}=\dfrac{100}{15}[/tex]
For 3g of secret ingredient , quantity of chai she would make = [tex]\dfrac{100}{15}\times3[/tex]
[tex]=\dfrac{100}{5}=20[/tex]
Hence, she can make 20 liters of chai.
She will need 20 litres of chili for 3g of the ingredient
If Sarah is making chili she has 0.15 g of a secret ingredient to each liter of chili, this is expressed as:
0.15g = 1 chili
To get the amount of chili needed for 3g, we can write;
3g = x
Divide both expression
0.15/3 = 1/x
x = 3/0.15
x = 20
Hence she will need 20 litres of chili for 3g of the ingredient
Learn more on proportions here: https://brainly.com/question/18437927
whats the answer to this I need this asap
will give brainliest
Answers
Answer:
I think is C
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST
REALLY SORRY IF IM WRONG
