f(x)/g(x)
(x2-1)/(x-1)
x cannot equal 1 because this would render the denominator, also known as the divisor, as zero.
x can be greater than 1.
If you would like, we can factor the numerator...
x2-1
(x+1)(x-1)
FIRST...(x)(x)=x2
OUTER...(x)(-1)=-1x=-x
INNER...(1)(x)=1x=x
LAST...(1)(-1)=-1
x2-x+x-1
x2-1
So...
f(x)/g(x)=[(x+1)(x-1)]/(x-1)
(x-1) is in the numerator and denominator. It cancels...
f(x)/g(x)=(x+1)
Mr. Marquez discovered that 18 of his 24 students enjoy reading in their spare time. What percent of his students enjoy reading in their spare time?
Answer:
75%
Step-by-step explanation:
Use 'Percent(age) Composition'
1. (18/24) = 0.75 This shows that 0.75/1 students reads during their free time.
2. 0.75 x (100) = 75% This step is to allow the value we received above to be displayed as a percentage.
75% of students enjoy reading in their spare time.
How would you do this help
Answer:
Multiply the second equation by 2
Solution: [tex](-\frac{45}{11},\frac{29}{11})[/tex]
Step-by-step explanation:
1) In order to use the elimination method to solve systems of equations, you must first multiply one or both of the equations so that the coefficients of a pair of terms with matching variables share the same number, but have opposite signs.
In this case, the y terms must fit that requirement. The y term in the first equation is 2y and the one in the second equation is -y. They already have opposite signs, one positive and other negative, so we just need -y to be -2y. So, in order to do that, multiply by 2.
2) After multiplying the whole second equation by 2, you will get [tex]8x - 2y = -38[/tex]. Now, add the the two equations together, eliminate the y terms, and isolate x to find its value.
3) Then, substitute that x value back into one of the equations to receive the y-value.
To better explain these steps, I attached pictures below.
Pls explain your answer. Thanks in advance. I will mark brainliest if u explain
Step-by-step explanation:
Using Trigonometry,
tan33° = Opposite/Adjacent = GF/DF.
Therefore GF = DF * tan33°
= 235tan33° = 152.6.
Angle GEF = Angle EDG + Angle DGE
= 33° + 34° = 67°. (Exterior Angle Theorem)
Using Trigonometry,
sin67° = Opposite/Hypotenuse = GF/EF.
Therefore EF = GF / sin67°
= 152.6 / sin67° = 165.8.
Hence the answer is the 1st option.
Answer:
the answer is A. GF =152.6 and EG=165.8
GF= 235*(tan(33))
EG= 152.6/(sin(67))
Solve for j 8 - 4j = -8j
Answer:
J = -2
Step-by-step explanation:
You must isolate the variable by dividing each side by factors that dont contain the variable.
So J would equal -2
PLEASE HURRY WILL GIVE BRAINLIST
Answer:
87
Step-by-step explanation:
Determine if the lines going through the given points are parallel.
perpendicular or neither: Line A:(-1,-5) (-4,-3) and Line B: (3, 1) (5, 4)
Answer:
Step-by-step explanation:
Line A: Neither
Line B: Neither
Helppppppp pleaseeeee
Answer:
x=6
Step-by-step explanation:
3x+12=5x
12=5x-3x
12=2x
6=x
x=6
Hope this helps! :)
PLEASE HELP ME ITS URGENT!!! PLEASEEE IM BEGGING U
Answer:
The answer would be C.
Step-by-step explanation:
5 * 6 = 30
3(10) * 1 = 30
Hence, your answer would be C.
Answer:
c = 10
Step-by-step explanation:
Anexo 5
Martes 26 do Brero de 2021
Instrucciones del planteamiento y relacionals columnas, para ello encuentra el recuadro con la
tracción equivalente
Circo JONN
El circo JOMI, ha hecho una gira alrededor de todo el continente
Americano
El tiempo de gira se repartió de la siguiente manera, la cuarta
parte del circo estará en Argentina, 4/32 partes en Brasil, una
octava parte en Venezuela, la dieciseisava parte en Bolivia, 5/32
portes en Cuba, 8/32 partes en México y el resto en Guatemala
2
8
Partes del tiempo se
32 presentó en México
32
10
32
Partes del tiempo se
presentó en Cuba
64
2
La dieciseisava parte la
invirtió en Bolivia.
8
1
4 Partes del tiempo se
32 presentó en Brasil
8
2
1 Partes del tiempo se
32 presentó en Guatemala
64
2
Una octava parte del
tiempo estuvo en Venezuela.
16
Childe, needs help please
PLEASE HELP ASAP!!
After a power failure, the temperature in a freezer increased at an average rate of 3.5 °F per hour. The
total increase was 31.5 °F. Enter and solve an equation to find the number of hours until the power was
restored. Let x represent the number of hours it takes for the temperature to increase to 31.5 °F.
Answer:
equation: 3.5x=31.5
number of hours: 9
Step-by-step explanation:
31.5/3.5=9
Therefore,
x=9, x=number of hours, number of hours=9
solve for x (8x-4), (3x+17), (17x-23)
Answer:
=408x3+1556x2−4008x+1564
Step-by-step explanation:\
(8x−4)(3x+17)(17x−23)
What is the volume of the rectangular prism shown below?
12 in
3 in
9 in
Formula List: Link
24 inches cubed
324 inches cubed
162 inches cubed
104 inches cubed
Combine like terms and write an equivalent expression
with the fewest number of terms.
3x + 5x – 1
Can someone help me?
Answer:
8 + -1 here you go hope this helps
Can someone please help me
I have no clue how to do these, if you could answer one with an explanation that would be amazing
Answer:
2. I assume you're working on 1 so I skipped it. 2 would be 16000 yearly. 300 a week would equal 15,000 a year so its less
There are 52 weeks in a year which is how I got that number^
3. With the job he has he gets 21,548.8 per year(11.20 × 37 = 414.4 x 52 = 21,548.8). With the advertised job he would would get 21,150 yearly. 21000 + 5% of 3000 which would be his commission. so stick with his current job
4. (£9.40 x 35 hours = £329) (£329 x 52 weeks = £17,108). (3 extra hours per week x 52 weeks = £156) (£17,108 + £156 = £17,264) That is her total
352 divided by 25 multiplied by 2 subtracted by 3
Answer:
25.16
Step-by-step explanation:
Answer:
25.16
Step-by-step explanation:
A=(352/25 *2) - 3 = 25.16.
i need help wit this really bad
Help me I have no idea how to do this and please give me an actual answer don’t do it just for the points
Answer:
i am sorry i don't know the answer it would be great if you provide more information
Step-by-step explanation:
help me with this problem
Answer:
angle 1 = angle 3
= 180°-136°
=44°
= angle 3
Please help me with both questions :(
Answer:
2.) $520
3.) less
Step-by-step explanation:
I'm going to assume that the interst is compoudning and is convertable once a year
The compound interest formula for interest compounding only once a year is as follows
[tex]AV=PV(1+i)^n[/tex]
plug in the numbers and get
[tex]500(1+.04)^{1}=500*1.04=520[/tex]
3.) If the interest rate is lower at the credit union he would obvioulsy be paying less (assuming that this interest rate is convertable annually as well)
Last week at the park, Heather ran 4 miles in 48 minutes. When she runs her next race, she hopes to improve her time by 2 minutes per mile.
Last week at the park, what was Heather’s rate of speed in miles per hour? Use words and/or numbers to explain your answer.
Answer:
she ran 10 miles a hour
Step-by-step explanation:
she runs 10 miles a hour because she wants to improve her time per mile by 2 minutes so you do 2x4 and get 8, then you subtract 8 from 48 and get 40 then you divide 40 by 4 and get 10
Heather's rate of speed last week was 1/12 miles/min.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that last week at the park, Heather ran 4 miles in 48 minutes. When she runs her next race, she hopes to improve her time by 2 minutes per mile.
Heather's rate of speed last week -
{r} = 4/48 = 1/12 miles/min
{r} = 1/12 miles/min
Therefore, Heather's rate of speed last week was 1/12 miles/min.
To solve more questions on algebraic expression, visit the link below -
brainly.com/question/1041084
#SPJ2
A forest covers 52000 acres. A survey finds that 0.4% of the forest is old-growth trees. How many acres of old-growth trees are there?
Given:
Total forest area = 52000 acres
Area of old growth trees in the forest = 0.4%
To find:
The area of old growth trees.
Solution:
We have,
Total forest area = 52000 acres
Area of old growth trees in the forest = 0.4%
Area of old growth trees is
[tex]Area=0.4\% \text{ of total forest area}[/tex]
[tex]Area=\dfrac{0.4}{100}\times 52000[/tex]
[tex]Area=0.4\times 520[/tex]
[tex]Area=208[/tex]
Therefore, the area of old growth trees is 208 acres.
Find the measure of interior angle C of hexagon OCEANS in which the
measure of the interior angles are:
O: 3x + 15, C: 2x + 30, E: 5x + 10, A: 2x + 55, N: 2x + 60, and S: x - 35.
Answer:
The measure of the interior angle C is [tex]108^{o}[/tex].
Step-by-step explanation:
Sum of angles in a polygon = (n - 2) x 180
where n is the number of sides of the polygon.
For a hexagon, n = 6. So that;
Sum of angles in a hexagon = (6 - 2) x 180
= 4 x 180
= [tex]720^{o}[/tex]
Sum of angles in a hexagon = [tex]720^{o}[/tex]
⇒ 3x + 15 + 2x + 30 + 5x + 10 + 2x + 55 + 2x + 60 + x - 35 = [tex]720^{o}[/tex]
15x + 135 = [tex]720^{o}[/tex]
15x = [tex]720^{o}[/tex] - 135
15x = 585
x = [tex]\frac{585}{15}[/tex]
= [tex]39^{o}[/tex]
But,
C = 2x + 30
= 2(39) + 30
= 78 + 30
= [tex]108^{o}[/tex]
The measure of the interior angle C is [tex]108^{o}[/tex].
Learning Task 1: Solve for n. Write your answer in your notebook.
1. 7.26 x 0.22 = n
2. 17.92 x 0.64 = n
3. 7.65 x 0.85 = n
4. 36.20 x 0.05 = n
5. 31.85 x 0.91 = n
Answer:
1.5972
11.4688
6.5025
1.81
28.9835
Step-by-step explanation:
yan po hehe
Find a quadratic function f(x) = ax^2 + bx + C whose
graph passes through the points (-1,3), (1,1) and (2,6).
Answer:
Step-by-step explanation:
3-1
Can someone help me Please
Which detail in text number one do you better understand because of details in the text number two
Nate and some friends go to the fair. Nate spends 1/2 of his money on rides. He then spends $12 on food. At the end of the day, Nate has $1 left. The equation is 1/2d-12=1. How much money did Nate bring to the fair
Answer:
i can help u if u let me know whta the equation means
Step-by-step explanation:
Answer:
25$
Step-by-step explanation:
Find the slope and vertical intercept for the line.Write an equation for the line
Answer:
Which line.... They didnt gave any numbers or smth
PLEASE HELP ASAP WILL GIVE BRAINLIEST!!!!!
Graph y=−1.25x+7
Answer the following:
a)What is the y−intercept?
b)What is the slope (in fraction form)?
c)Is your slope positive or negative?
d)Explain how you plotted your second point.
Answer:
A. (0,7)
B. -1.25
C. Negative
D. I started at (0,7), then plotted the second point by moving the point down 5 and right 4.
Step-by-step explanation:
Look at the equation more carefully.
I hope this helps :)
Answer:
Step-by-step explanation:
y interept is +7
the slope in fraction form is y=-5/4+7
the slope is negative even though it looks like it is not going up or down
if that it is wrong then it is an undefined slope
other points you can plot- (1, 5.75) and (2, 5.75)