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
a person has 80 followers on social media. The number of followers tripled each year. How many followers will she have after 4 years. Explain your answer
Answers
I was wrong sorry:(
the second one is correct
Answer:
6,480 followers
Step-by-step explanation:
1 year = 80(3) = 240
2 years = 240(3) = 720
3 years = 720(3) = 2,160
4 years = 2,160(3) = 6,480
En Faiz deposits a sum of Rm 18000 in a bank with interest rate of 4.5% per annum and compounded
once every 4 months. Find En Faiz's total savings at the end of the year.
Answers
Answer:
4.5 divide 100 x RM18000
4.5% is 810
810 x 3 = RM2430
RM 2430 is the total savings at the end of the year
Consider the equations shown: ax + by = ab & 2ax + 3by = 3b Which of these is the value of y in terms of a? Option 1 : y = 3a – 35 Option 2 : y = 2ab – 3b Option 3 : y = 9a – 35 Option 4: y = 3 – 2a
Answers
Answer:
Option 4: y = 3 – 2aStep-by-step explanation:
Given the simultaneous equation;
ax + by = ab ......... 1
2ax + 3by = 3b .....2
Required
Express y in terms of a
Using elimination method to eliminate x variable.
eqn 1 * 2 and eqn 2 *1 will give;
2ax + 2by = 2ab
2ax + 3by = 3b
Subtract
2by - 3by = 2ab - 3b
-by = 2ab - 3b
-by = b(2a-3)
-y = 2a-3
multiply through by -1
y = -2a + 3
y = 3-2a
Hence the value of y in terms of a is y = 3-2a
la razón entre dos triángulos es 4. Los lados del primer triángulo miden 6cm, 9cm, 12cm, ¿Cuáles son las
medidas del segundo triángulo?
Answers
Answer:
24cm, 36cm y 48cm
Step-by-step explanation:
Tu necesitas multiplicar cada lado por 4 porque 4 es el factor de escala.
(Lo siento si mi explicacion es mala, no se mucho Español, entonces no puedo explicar muy bien)
Which of the equations below represents a line parallel to the y-axis?
OA.
x=-Y
OB.
X= 4
O C. X= 4y
OD.
x= y
Answers
Explanation:
Find the slope of the line that goes through the given points. (-10, -3) and (-7, -9)
Answers
Answer:
-2
Step-by-step explanation:
rise over run or, y2-y1/x2-x1
Will give Brainlyest answer!
Answers
Answer:
c
Step-by-step explanation:
I need help on this question
Answers
If it’s wrong sorry. I tried.
It takes 1 minute for a certain amount of potassium bromide (KBr) to dissolve in 100 grams of water at 25 °C.
Which of the following will most likely happen if the same sample of potassium bromide is dissolved in 100 grams of water at 100 °C?
The sample will dissolve in exactly 1 minute.
The sample will dissolve in less than 1 minute.
The collision between particles of the sample will decrease.
The collision between particles of the sample will remain constant.
Answers
Answer:
The sample will dissolve in less than one minute
Step-by-step explanation:
Ari thinks the perfect milkshake has 333 ounces of caramel for every 555 scoops of ice cream. Freeze Zone makes batches of milkshakes with 666 ounces of caramel and 888 scoops of ice cream.
What will Ari think about Freeze Zone's milkshakes?
Answers
Answer:
Ari will think that Feeze Zone makes milkshakes with too much caramel.
Step-by-step explanation:
First off I took 3 ounces of caramel to 5 scoops of ice cream, which makes a ratio of 3/5.
Freeze Zone makes milkshakes with 6 ounces of caramel, so I multiplied the 3 and the 5 by two to get 6 ounces of caramel for the ratio.
once you multiply the ratio by two it becomes 6/10 and the milkshakes that Freeze Zone makes are 6/8, so they have more caramel than Ari likes.
Sorry if the explanation is a little confusing, I hope it helped :)
Solve for X in this parallelogram
Answers
360 = 2(80) + 2(14x+2)
360 = 160 + 28x +4
360 - 160 - 4 = 28x
196 = 28x
7 = x
Evaluate the exponential expression using the order of operations.
(6+3)4
Answers
Answer:
36.
Step-by-step explanation:
6 plus 3 is 9 and 9 times 4 is 36, hope this helps.
Which of the following statements is true?
The value π is a rational number.
The number 0 is a natural number.
The number 1/2 is an integer.
The number -5 is a real number.
Answers
Answer:
The value π is a rational number.
Step-by-step explanation:
On Wednesday a local hamburger shop sold a combined total of 304 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Wednesday?
Will mark if it is an actual correct answer with an actual explanation
Answers
Answer:
It would be 76 hamburgers were sold on Wednesday
Step-by-step explanation:
I divided the total 304 by 4 and got 76. Then when you multiply that out you get a total of 304
Point R on the coordinate grid below shows the location of a car in a parking lot. A second car needs to park 6 units above R to leave room for a utility truck. What are the coordinates of the location of the second
Answers
Answer:
[tex]R' = (-4 , 4)[/tex]
Step-by-step explanation:
Given
See attachment for the grid coordinate
From the attachment, we have that:
[tex]R = (-4,-2)[/tex]
Required
Determine the coordinates of the second truck
Represent the position with R'
From the question, we understand the position of R' is 6 above R
When a point (a,b) is moved n point above, the new point becomes (a, b + n)
So:
[tex]R = (-4,-2)[/tex]
When moved 6 points above becomes:
[tex]R' = (-4 , -2 + 6)[/tex]
[tex]R' = (-4 , 4)[/tex]
Hence, (-4,4) answers the question
HELP ME WITH THIS I'LL GIVE THE BRAINLIEST.
For items 6 to 9, use illustration on long division that follows:
6. Which is the dividend?
A. 5x + 5
B. 5x -5
C. 25x2 - 50x +25
D.O
7. What is the remainder?
A. 5x + 5
B.X + 5
C. -5
D.O
8. Which is the quotient?
A. 5x + 5
B. 5x -5
C. 5x² + 14x-24
D.O
9. What is the process used to obtain the 2nd line?
A. Multiplying 5x by (5x-5)
C. Dividing 5x by (5x -5)
B. Adding 5x by (5x-5)
D. Subtracting 5x by (5x -5)
Answers
Answer:
6) A. 5x+5
7) D. 0
8) A. 5x+5
9) I'm not sure sorry
Step-by-step explanation:
The brown family has 5 liters of lemonade. Each liters of lemonade weighs 1 kilogram. At the end of the day they have 290 grams of lemonade left. How many grams of lemonade did they drink.
Answers
Answer:
4710grams of lemonade.Step-by-step explanation:
Step one:
given data
the brown family has 5 liters of lemonade that weighs 1 kg per liter
this implies that they have 5kg of lemonade.
convert 5kg to grams we have 5*1000= 5000grams
(because 1000g is equal to 1kg)
Step two:
if at the end of the day there was 290grams left, then they drank
=5000-290
=4710
They drank 4710grams of lemonade.
Plz HURRY!!!
Which multiplication expression can be used to check this division problem: 2/5 divided by 4/15 = 3/2
O 2/5 times 4/15
O 3/2 times 4/15
O 3/2 times 15/4
O 5/2 times 15/4
Answers
Answer:
I'm pretty sure it's B
Step-by-step explanation:
Answer:
3/2 times 4/15
Step-by-step explanation:
In division, the quotient times the divisor equals the dividend. This multiplication can be used to check if the math was correct.
Here's an example:
6 / 3 = 2
6 is the dividend, 3 is the divisor, and 2 is the quotient.
2 times 3 is 6, which proves that the quotient times the divisor is the dividend , and it also means that the quotient was correct.
(This example was used because the numbers are nice and easy, so they are good examples for this kind of thing)
NEED HELP ASAP NEXT QUATER IS TODAY
Two bags of cereal are packed in a box. The total weight of the box and the two bags of cereal is 50.00 ounces. One bag of cereal weighs 14.06 ounces, the other weighs 20.15 ounces. How much does the box weigh? (2 points)
15.79 ounces
15.22 ounces
15.25 ounces
14.89 ounces
Answers
Answer:
15.79 ounces
Step-by-step explanation:
50−(14.06+20.15)
PLZ HELP AND CAN U PLZ EXPLAIN
Answers
PLEASE HELP QUICKLY
What is the value of y
Answers
Answer:
y= 8
Step-by-step explanation:
In a Triangle we know,
W+Y+X=180 degree
then,
(180-52)+(4y-4)+3y=180
or, 128+4y-4+3y= 180
or, 7y= 180- 124
or, y= 56/7
or, y= 8
hope you got it.
THIS IS DUE SOON!!! PLEASE HELP MEEEE!
Answers
please help!!!
I don’t understand
Answers
Answer:
y = -2/5x - 6
Step-by-step explanation:
Slope intercept follows the y = mx + b, which m is the slope, and b is the y intercept.
1. Find the slope:
The formula for slope is the change in y/ over the change in x. Or you can say rise/run.
In other words you can take any of those 2 dots, first count them to the other dot, which is -2, then count horizontally, which is 5, so the slope is -2/5
Another way:
Another way is to take any two points, like (-10, -2), and (-5, -4).
Then we can do -4 -(-2)/-5 -(-10), which is -2/5.
So the equation we have so far is y = -2/5x + b
2.Find the y intercept
Based on the graph, the y intercept is -6, so we get
y = -2/5x - 6
Please someone please help, will mark you Brainliest
Read the problem carefully and write the required information:
Community Gym charges a $50 membership fee and a $55 monthly fee. Workout Gym charges a $200 membership fee and a $45 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will that amount be?
What are you looking for?
Define a variable:
Write the equation:
Solve the equation:
What will the amount of money be when the total amount of money paid to both gyms is the same?
Answers
Answer:
Step-by-step explanation:
Community gym
=> membership fee = $50
=> monthly fee = $55
=> First month = 105$
=> 50 + 55(x)
=> 50 + 55 (15)
=> 50 + 825
=> 875
Workout gym
=> membership fee = $200
=> monthly fee = $45
=> First month = 245$
=> 200 + 45(x)
=> 200 + 45(15)
=> 200 + 675
=> 875
On the 15th month, community gym and workout gym will both get the same amount of $875.
Answer: what are you looking for? after how many months will the total amoung of money paid to both gyms be the same? Define a variable: I'm not sure. Write the equation, community Gym 50 + 55(x), workout gym 200 + 45(x), solve the equation. on the 15th month, community gym and workout gym will both get the same amount of $875.
Step-by-step explanation:
Please Help! 66 points and Brainliest!
Two scientists are running experiments testing the effects of a vaccine on different control groups. The results are shown in the graph using the functions f(x) and g(x):
Which statement best describes the graph of f(x) and g(x)?
The graph of g(x) will eventually exceed the graph of f(x).
The graph of f(x) will eventually exceed the graph of g(x).
The graphs will both have their y-intercept equal to 5.
The graphs will both have their y-intercept equal to 2.
Answers
Answer:
The graph of g(x) will eventually exceed the graph of f(x).
Step-by-step explanation:
Since f(x) is linear and g(x) is exponential, g(x) will eventually exceed f(x). You can see it start to do so at the top of your graph.
Hope I help :)
Answer:
The graph of f(x) will eventually exceed the graph of g(x)
Step-by-step explanation:
Because g(x) has a steady growth rate, and f(x) is exponential (changes rapidly), f(x) will exceed the graph of g(x). This is can be seen happening at the top of the graph, where f(x) grows higher than g(x) at a faster rate.
Please answer correctly !!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
Answers
Answer:
x= 53 and y= 143
Step-by-step explanation:
x= 90-37
x= 53
y= 53+90
y= 143
Pls help me I have no idea
Answers
Answer:
130 degrees
Step-by-step explanation:
ABF and BFE are alternate angles. So BFE is 65
BG=FG so FBG is 65. x the exterior angle is 65+65=130 degrees
You can use the expression 2e+2w to find the perimeter of a rectangle where e is the length and w is the width. Interpret the coefficients of the terms.
Answers
Answer: The coefficient of terms is 2 represents length of 2 equal and opposite sides of rectangle.
Step-by-step explanation:
A rectangle is a 4 sides closed quadrilateral where opposite sides are equal .
So , length of one pair of opposite is represented by 'l' [l= length]
Such that sum of these two sides = l+l=2l
The other pair of opposite sides s represented by 'w' [w= width]
Such that sum of these two sides = w+w=2w
Perimeter is the sum of sides.
So, perimeter of rectangle = 2l+2w.
The coefficient of terms is 2 represents length of 2 equal and opposite sides of rectangle.
Whats 200×47280 ? Thank you!
Answers
Answer:
9456000
Hope this helps!!!1!
Answer:
I got 9456000
Step-by-step explanation:
Find the measure of ∠Z.
45°
75°
105°
Answers
Answer:
75
Step-by-step explanation:
X and Y are the same so Y would be 105 as well. The trapezoid as a whole equals 360 degrees. Take 360 and subrtract 105 twice and you'll get 150. Divide 150 by 2 and you'll get 75. W and Z will both equal 75.
