Answers
Answer:
f(x) = x - 6 g(x) = x - 5Step-by-step explanation:
[tex]\dfrac{x^2-8x+12}{x^2-7x+10}\\\\x^2-7x+10\ne0\ \iff\ x=\frac{7\pm\sqrt{49-40}}{2}\ne0\ \iff\ x\ne5\ \wedge\ x\ne2\\\\\\\dfrac{x^2-8x+12}{x^2-7x+10}=\dfrac{x^2-2x-6x+12}{x^2-2x-5x+10}=\dfrac{x(x-2)-6(x-2)}{x(x-2)-5(x-2)}=\\\\\\ =\dfrac{(x-2)(x-6)}{(x-2)(x-5)}=\dfrac{x-6}{x-5}\\\\\\f(x)=x-6\\\\g(x)=x-5[/tex]
Related Questions
Find the 54th term of the arithmetic sequence -7, -23, -39, ...
Answers
Answer:
-871
Step-by-step explanation:
Equation: -16x - 7
54th term: -16(54) - 7 = -864 - 7 = -871
A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally. A piece of climbing equipment at a gym is 10 feet high and extends 6 feet horizontally. Which statement best compares the slopes of the two pieces of equipment?
Because Five-thirds greater-than three-halves, the slope of the climbing equipment at the gym is greater.
Because Five-thirds less-than three-halves, the slope of the climbing equipment at the playground is greater.
Because Three-fifths greater-than two-thirds, the slope of the climbing equipment at the gym is greater.
Because Three-fifths less-than two-thirds, the slope of the climbing equipment at the playground is greater.
Answers
Answer:
I think its D but I'm not that sure about it.
Step-by-step explanation:
Because three fifths less than two thirds, the slope of te climbing equipment at the playground is greater.
Answer:
A)
Step-by-step explanation:
A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally.
Therefore its slope = length of the equipment vertically / length of equipment horizontally
= 6/4 = 3/2 = 1.5
And, A piece of climbing equipment at a gym is 10 feet high and extends 6 feet horizontally.
Therefore slope, = 10/6 = 5/3=1.67 (approx)
Since, >
Therefore, Five-thirds greater-than three-halves, the slope of the climbing equipment at the gym is greater
(I finished the quiz and got it correct, it is A.)
let f(x)= p+ 8/x-q. the line x=4 is a vertical asymptote to the graph of f. what is the value of q and p, if the y intercept is (0,4)?
Answers
Answer:
The value of q and p is 4 and -24 respectively.
Step-by-step explanation:
Being [tex]f(x)=\frac{p+8}{x-q}[/tex] , the line x=4 is a vertical asymptote to the graph of f(x). The line r is an asymptote of a function if the graph of the function is infinitely close to the line r. That is, an asymptote is a line to which a function approaches indefinitely, without ever touching it.
Being a rational function that which can be expressed as the quotient of two polynomials, a vertical asymptote occurs when the denominator is 0, that is, where the function is not defined. In this case:
x - q= 0
Solving:
x= q
Being the line x=4 the vertical asymptote, then
4=q
Then the function f (x) is:
[tex]f(x)=y=\frac{p+8}{x-4}[/tex]
The y intercept is (0,4). This is, x= 0 and y=4. Replacing:
[tex]4=\frac{p+8}{0-4}[/tex]
Solving:
[tex]4=\frac{p+8}{-4}[/tex]
4*(-4)= p+8
-16= p+8
-16 - 8= p
-24= p
The value of q and p is 4 and -24 respectively.
An amusement park charges a $12 parking fee plus 25 per person. What is the total cost for 32 people?
Answers
Answer:
The total amount for 32 people is 15.36
Step-by-step explanation:
we know that for 25 people is $12 so we need to find how much it would be for one person. you would need to divide $12 / 25. from this you would get 0.48, so for one person it's 48 cents. next you're going to subtract 25 from 32, this leaves you with seven people who aren't in a group of 25. you then multiply 7 × this equals to 3.36, add 3.36 to $12 and you'll get your total 15.36.
Explain your reasoning for how you got true or false ?!
Is ABD congruent to CBD?
Please help! I’ll give brainliest!!
Answers
Cameron has a bag of 50 gumdrops. There are 15 peach, 20 strawberry, 5 cherry, and 10 watermelon. Without looking, he picks a gumdrop, looks at it and puts it back, then chooses another without looking. What is the probability he will choose strawberry both times?
Answers
All you have to do is take the amount and do probability like a fraction
i really need help!!!! i need answer to c:
Answers
Answer:
76.3
Step-by-step explanation:
Answer:
C = 75°
Step-by-step explanation:
The interior angles of a triangle will always add up to 180°, so all we have to do is find the missing variable.
To do this, we first add up the two angles we do know.
—> 65 + 40 = 105
Now that we have the total of the other two angles, simply subtract 105 from 180.
—> 180 - 105 = 75
We now have our answer!
the marked price of a shirt is 7200 a discount of 15% is on sales what is sale price
plz and fastttt
Answers
Answer:
6120
Step-by-step explanation:
i)
15/100 × 7200
=1080 ( the amount of discount based on the marked prize )
ii) 7200-1080=6120
Just part A please as soonnn as possible I need help!!! Thanks!
Answers
Answer: -1 ≤ x ≤ 4.
Step-by-step explanation: To solve this problem, we first add 7 to the inequality: -4 ≤ 4x ≤ 16. Then we divide the entire equation by 4 to get -1 ≤ x ≤ 4.
if you use synthetic division for this polynomial: 3x^5-12x^4+12x^3+30x^2-39x-42. What would the answer be?
Answers
Answer : x^5 - 4x^4 +4x^3 + 10x^2 - 13x - 14
Explanation :
(3x^5-12x^4+12x^3+30x^2-39x-42)/3 = x^5 - 4x^4 +4x^3 + 10x^2 - 13x - 14
is v+3+8v equivelent to 9v+3
Answers
Kailey correctly graphed the opposite of –3.3 on the number line.
A number line going from negative 5 to positive 5. Point A is between negative 4 and negative 3, point B is between negative 3 and negative 2, point C is at 3.3, and point D is at 3.9.
Which point could be the point Kailey graphed?
Answers
The number line shows that Kailey could have graphed the point C (3.3).
Number LineThe number line is the graphic representation of real numbers whose center is represented by the number zero (0). The negative numbers are on the left side of the number line, on the other hand, the positive numbers are written on the right side. See the attached image.
Opposite NumbersOpposite numbers are numbers that the distance to 0 is equal. The numbers are classified as the opposite when the sum between them is equal to zero (0).
STEP 1 - Plot the number linePlot the number line with the given limits: -5 to 5. See the attached image.
STEP 2 - Plot the given points in the number linePlot the points A, B,C an D in the number line drawn in step 1. See the attached image.
STEP 3 - Analyse the plotted number lineLike the point graphed is the opposite of -3.3, Kailey could have plotted the point C which is at 3.3 since the sum between -3.3 and 3.3 is equal to zero (0).
-3.3+3.3 =0
Read more about opposite numbers here:
https://brainly.com/question/13114728
#SPJ2
Two parallel lines are cut by a transversal. Which statements are true for all such cases? Select three that apply.
Each pair of vertical angles is congruent.
Each pair of corresponding angles is congruent.
Each pair of supplementary angles is congruent.
Each pair of alternate interior angles is congruent.
Answers
Answer:
Step-by-step explanation:
Each pair of vertically opposite angles are equal. If you mean vertical angles as in 90 degrees, you should qualify the question
Each pair of alternate interior angles is congruent (think it should be are congruent).
Each pair of corresponding angles is congruent
f(n) = -n^3 – 4ng(n) =
-n +4Find: f(n) +g(n)
Answers
Answer:
-n^3 – 5n + 4
Step-by-step explanation:
f(n) = -n^3 – 4
g(n) = -n +4
f(n)+ g(n) = (-n^3 – 4n)+(-n +4)
= (-n^3 – 4n -n +4)
= -n^3 – 5n +4
Find the slope of the line passing through the given points using the slope formula. Describe the slope as positive, negative, zero, or undefined.
(−7, −18) and (−7, −4)
Answers
Answer:
Undifined
Step-by-step explanation:
Will give brainiest
Surds
Step by step explanation please on this question
Make sure to use Surds
Answers
Answer:
3
Step-by-step explanation:
You need to multiple 3 by 3 because 3 has an exponent. That makes the 3 into a 9. the square root of 9 is 3 so the answer is 3
Hello help with question please :)
Answers
Answer:
A
Step-by-step explanation:
slope is (y2-y1)/(x2-x1)
anyhow that comes out to -3/2
the only place that actually applies is in A
Answer:
A
Step-by-step explanation:
6=-3/2×-2+3
6=3+3
6=6
-3=-3/2×4 + 3
-3=-6+3
-3=-3
3. A merchant sold a pen for $6.90, thereby making a profit of 15% on the cost to her. Calculate:
a. the cost price of the pen to the merchant to the nearest cent.
b. the selling price the merchant should request in order to make a 25% profit instead.
Answers
Answer:
A.$6.44
B.$8.05
Step-by-step explanation:
A.$6.90/15%=$0.46-$6.90=$6.44
B.$6.44*25%=$1.61+$6.44=$8.05
Answer:
answer for 6.90/15%= 6
answer for 25%= 7.5
Step-by-step explanation: These are answer is all correct there are no mistakes
-2 (-3x + 3) + 2x = 58
Answers
Answer:
x = 8
Step-by-step explanation:
Given
- 2(- 3x + 3) + 2x = 58 ← distribute and simplify left side
6x - 6 + 2x = 58
8x - 6 = 58 ( add 6 to both sides )
8x = 64 ( divide both sides by 8 )
x = 8
Selina has $50. She wants to buy some donuts which cost $2.80 each. How many donuts can she buy?
Answers
Answer:
50/2.80= 17
17 dounuts
What do you have to increase a number by to change it's place value
Answers
Answer:
Build more buildings
Step-by-step explanation:
Answer:
change by a tenth to hundredth to thousandth to the millionth
Step-by-step explanation:
Decide whether this statement is always true, never true, or sometimes true, and explain why: In a quadratic equation of the form 0 = ax2 + bx + c, there will be two real solutions if a and c are of opposite signs
Answers
Answer:
Always true
Step-by-step explanation:
Here, we want to evaluate if the given statement is true
The discriminant D can be calculated using the formula;
b^2 - 4ac
if D is greater than 0, then we will have only real roots
In a case where a and c are of opposite signs;
then -4ac will always give a positive value which can be added to b^2
This positive value will ensure that D is greater than zero and hence we can have only real roots
So this assertion is always true if a and c are of opposite signs
true or false, x =4 is a critical point to this inequality
x²-4 / x²+9x+20 is greater than/equal to 0
Answers
Answer:
true
Step-by-step explanation:
x²-4/x²+9x+20 >=0
cross multiplying the equation we have,
(x²-4/x²+9x+20)*x²+9x+20 >= 0*x²+9x+20
= x²-4>=0
x²>=4
taking the square root of both sides, we have:
√x²>= √4
x >=2
an object travels at 20 m/s for 20 seconds. how far has it traveled?
Answers
Answer:
400 meters
Step-by-step explanation:
So it goes 20 meters every second. So you would multiply that by 20 seconds to get 400 meters.
Find the greatest common factor between 18 and 60? Help me or I die.....Jk help me plz
Answers
Step-by-step explanation:
I dont know the answer exactly but to find the greatest common factor you have to find out like the numbers that go into the timetable your talking about like e.g a factor of 18 would be 6,3,2 etc. once you have done that between both of them then you have to find the same numbers between them. and that's the answer. hope it helped I'm not exactly good at explaining
Shel bought a $6,000 desk based on her income she can only afford to pay 600 per month The charge on the unpaid balance is 2% each month Calculate the balance outstanding at the end of month 2
Answers
Answer:
$5,030.40
Step-by-step explanation:
The balance outstanding at the end of any month is the due amount after adjusting for interest and loan repayment amount. The amount outstanding can be calculated as:
First month
Due amount = $6,000
Interest at 2% = $6,000*2% = $120
Loan repayment = $600
Reduction in balance = $600 - $120 = $480
Balance remaining = $6,000 - $480 = $5,520
Second month
Due amount = $5,520
Interest at 2% = $5,520*2% = $110.4
Loan repayment = $600
Reduction in balance = $600 - $110.4 = $489.60
Balance remaining = $5,520 - $489.60 = $5030.40
Hence, the balance outstanding at the end of month 2 is $5,030.40
answer plss. will mark the first correct answer as brainliest!!
n is an integer.
Write the values of n such that -15 < 3n<6
Answers
Answer:
(-1,-2, -3, -4)
Step-by-step explanation:
-15 < 3n <6
-15 < 3 (-1,-2, -3, -4) <6
3 • -1 = -3
3 • -2 = -6
3 • -3= - 9
3 • -4 = -12
so all these answer still make -15 the lowest value and 6 the highest value.
I don't understand this
Answers
Answer:
y=2/3x+3
Step-by-step explanation:
First, you would use the point slope formula : y₂-y₁/x₂-x₁
(5--3)/(3--9)
=8/12
=2/3
Then you would plug it back into the equation along with one of the points. Ex:
-3=2/3(-9)+b
-3=-6+b
3=b
So in conclusion, the formula would come out to y=2/3x+3
Hope this helps! :)
Marvin rides his bike at an average speed of 13 miles per hour. How far can he bike in 8 hours?
Marvin can bike miles in 8 hours.
Answers
Answer:
104
Step-by-step explanation:
13x8=104
9 = -d + 17
A.-2
B.8
C.10
D.-8
Answers
9= -d+17
9 - 17 = -d + 17 - 17
-8 = -d
Then divide.
-8/1 = -d-1
Cancel terms that are in both numerator and denominator
Answer:
8 = d