Answer:
Simplified form of [tex]\frac{x+1}{x^2+x-6}\div \frac{x^2+5x+4}{x-2}[/tex] is [tex]\mathbf{\frac{1}{(x+3)(x+4)} }[/tex]
Option A is correct answer.
Step-by-step explanation:
We need to find simplified form of [tex]\frac{x+1}{x^2+x-6}\div \frac{x^2+5x+4}{x-2}[/tex]
Solving the given expression:
[tex]\frac{x+1}{x^2+x-6}\div \frac{x^2+5x+4}{x-2}[/tex]
First we find factors of [tex]x^2+x-6[/tex]
[tex]x^2+x-6 \\= x^2+3x-2x-6\\= x(x+3)-2(x+3)\\=(x-2)(x+3)[/tex]
So, factors of [tex]x^2+x-6[/tex] are [tex](x-2)(x+3)[/tex]
Now, fining the factors of [tex]x^2+5x+4[/tex]
[tex]x^2+5x+4\\=x^2+4x+x+4\\=x(x+4)+1(x+4)\\=(x+1)(x+4)[/tex]
So, factors of [tex]x^2+5x+4[/tex] are [tex](x+1)(x+4)\\[/tex]
Now the given expression will become:
[tex]\frac{x+1}{(x-2)(x+3)}\div \frac{(x+1)(x+4)}{x-2}[/tex]
Now, converting division sign into multiplication sign:
[tex]=\frac{x+1}{(x-2)(x+3)}\times \frac{x-2} {(x+1)(x+4)}\\Cancelling, \:common\:terms\\=\frac{1}{(x+3)(x+4)}[/tex]
So, simplified form of [tex]\frac{x+1}{x^2+x-6}\div \frac{x^2+5x+4}{x-2}[/tex] is [tex]\mathbf{\frac{1}{(x+3)(x+4)} }[/tex]
Option A is correct answer.
Find the value of x in the triangle.
67 113
293
7
Answer:
x = 67°Step-by-step explanation:
The sum of measures of angles in triangle is allways 180°
So:
x + 53° + 60° = 180° {subtract 113° from both sides}
x = 67°
The cost of two pounds of cherries is
$8.58. What is the unit rate that describes the
cost per pound of cherries?
Answer:
since you have 2 pounds, and spend $8.58 total, divide the amount you spent, but how many pounds you bought to get the unit rate which is $4.29
Step-by-step explanation:
Answer:
$4.29 per pound
Step-by-step explanation:
(8.58 dollars)/(2 pounds) = ((8.58/2) dollars)/pound =4.29 dollars/pound
distance covered by minute hand in 1 hour is 94. 20 cm find the circumference of the circle whose radius is 12 CM
Answer:
[tex]\large\boxed{75.4cm(1 d.p)}[/tex]
Step-by-step explanation:
Important Information:
Circumference of a cirlce= [tex]\pi*diameter[/tex]
Diameter= [tex]2*radius[/tex]
Method:
The first step in working out the circumference of this cirlce is to work out the diameter. You can work this out by multiplying the radius of 12 by 2, this gives you 24cm. This is because the radius is half of the diameter.
The next step is to work out the circumference. You can do this by multiplying pi by the diameter of 24, this gives you [tex]27\pi[/tex] or 75.4cm (1 d.p).
Step by Step:
1) Multiply 12 by 2.
[tex]12*2=24cm[/tex]
2) Multiply pi by 24.
[tex]\pi*24=75.4cm(1 d.p)[/tex]
Alex has saved $30 and he earns $12 per hour. He wants to have at least $150 in his savings account. How many hours can he work?
Answer: 10
Step-by-step explanation: 120 divided by 12 = 10
please help me find the slope im begging
Answer1)-1 2) 5/2:
Step-by-step explanation:
-10x = 50 ?
A) x=10
B) x= -5
C) x=5
D) x=25
The expression
10
,
000
(
1.20
)
t
10,000(1.20)
t
represents the population of a town t years after 2000.
Select the value from each drop-down menu that best completes the sentence.
The population of the town
by
each year.
Answer:
According yo my calculations v=-92 that makes it so that 34×6÷39=124
Answer:
I Think it decreases by 10% each year.
Sorry if im wrong.
what is 69*773 I just need some help getting the answer?
Answer:
53,337
Step-by-step explanation:
Answer:
53337
Step-by-step explanation:
There ya go.
CAN SOMEONE DO MY KHAN ACADEMY FOR ME AND HELP ME WITH THIS QUESTION?
Answer:
The answer is C
Step-by-step explanation:
Answer:
most likely to me is a best option
Step-by-step explanation:
1/4 multiply 20 like a fraction like this 20/1 then multiply numerator and denominator or (top and bottem) which then gives you 20 /5
simplify it you get 4
−8 (1 + x) + 7x PLEASE HELP
Answer:
-8-x or -x-8 or x=-8
Step-by-step explanation:
Distribute the -8 to the (1+x)
-8-8x+7x
then add the -8x+7x
-8-x or -x-8
and if you want to solve for x
x=-8
What is 30% of 70? A:9
B:12 C:19 D:21
Answer:
Step-by-step explanation:
21
y = 3 2 x A 2-column table with 4 rows. Column 1 is labeled Days x with entries 1, 2, 3, 4. Column 2 is labeled Hours y with entries 1 and one-half, 3, 4 and one-half, 6. On a coordinate plane, a line goes through points (1, 1.5) and (2, 3). The models all represent a real-world problem. How would you match the models to a problem? Find a problem with the same variables and the same relationship between the quantities. Find a problem that has the same numbers. Find a problem that has the same variables. Find a problem that has the same x-values.
sorry about the girl who stole points anways on edg its A
Answer:
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Step-by-step explanation:
A cyclist rides her bike at a speed of 18 kilometers per hour. What is the sped in kilometers per minute? How many kilometers will the cyclist travel in 10 minutes? Do not round around your answer.
Speed:
Distance traveled in 10 minutes:
Answer:
speed: .3 kilometers a minute. Distance traveled in 10 minutes: 3 kilometers
what is the square root of 31
Answer:
5.567764363 or rounded off to two decimal places 5.57
Step-by-step explanation:
Calculator
Solve for x, 3-5x=18
Answer:
X = 3
Step-by-step explanation:
18 - 3 = 15
5x = 15
divide both sides by 5
X = 3
Answer:
[tex]3 - 5x = 18 \\ - 5x = 18 - 3 \\ - 5x = 15 \\ x = \frac{15}{ - 5} \\ \boxed{x = - 3}✓[/tex]
x=-3 is the right answer.On a map of a fair, the Ferris wheel is located at (3, 2). The carousel is located 5 units south of the Ferris wheel. What ordered pair represents the location of the carousel?
Answer:
(3,-3)
Step-by-step explanation:
It is located 5 units south, which means it is on the y-axis line. So, you would subtract 5 from 2 (2-5) and that gives you -3.
If using the method of completing the square to solve the quadratic equation
2? + 4x + 3 = 0, which number would have to be added to "complete the square"?
Step 1 Divide all terms by a (the coefficient of x2). Step 2 Move the number term (c/a) to the right side of the equation. Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.
Answer:
to solve quadratic equations you need to first figure out how many terms you have and if you have more than 3, your in luck but the AZB formula will not include the terms 1 2 or 3
Step-by-step explanation:
Algebra 2
Factoring Polynomials
Factor the polynomial completely.
1. x3 - 2x2 – 24x
You might need:
Find the zeros of the function. Enter the solutions from least to greatest.
f(x) = (x + 2)2 – 16
lesser r =
greater x =
Answer:
lesser x: - 6
greater x: 2
Step-by-step explanation:
f(x) = (x + 2)² – 16
(x + 2)² – 16 = 0
(x + 2 + 4) (x + 2 - 4) = 0
(x + 6)(x - 2) = 0
roots (zero): x = -6 or x = 2
square root of 479/90
a question that is hard for me. I dont have my calculator
Answer:
the answer is 0.24317854031 hope this helps have a nice day please give me brainliest:))
Step-by-step explanation:
Answer:
0.24317854031
Step-by-step explanation:
1. Open your browser
3. Search up: square root of 479/90
4. Copy paste answer
5. Need I say more?
Find 759 ÷ 3. PLS I NEED HELP ITS EITHER HAS A REMAINDER OR NOT ALSO GIVE ME AN ANSWER PLS DIS DUE TODAY
Answer:
253
Step-by-step explanation:
Answer:
yeah 253
Step-by-step explanation:
What is the area, in square inches, of the shaded part of the shape?
A.110 square inches
B.48 square inches
C.140 square inches
D.80 square inches
A store gives 20th customer a 20$ gift certificate.Every 75th customer gets a 75$gift certificate .Which customer will be the first to receive both types of gift certificates?
solve for x round your answer to the nearest tenth
what is the y- intercept of the line with the eqaution y=-2x+4
Answer:
(0,4)
Step-by-step explanation:
When you are finding the y-intercept, the x = 0
y = -2x + 4
y = -2(0) + 4
= 0 + 4
y = 4
Meaning y = (0,4)
[tex]\sf{\underline{Given:-}[/tex]
[tex]~~~~~~~\bigstar\overbrace{The~equation~of~the~line}}[/tex]
[tex]\sf{\underline{To~find:-}}[/tex]
[tex]\bigstar{\overbrace{The~y-intercept~of~the~line}}\\\sf{\underline{Solution:-}}[/tex]
Since the equation is written in slope-intercept form (y=mx+b), then we just look at the b term, which stands for the y-intercept.
Notice that the y-intercept is a constant...
Hence, the y-intercept of the line is
[tex]\bigstar{\boxed{\pmb{4}}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
Can someone help me please I don’t understand it
Answer:
C is the answer
Step-by-step explanation:
17/18 + 1/20 = 47/50 not 18/38
Please help I don’t know how to answer !!!
The Benton family uses up a 1/2 gallon jug of milk every 3 days. At what rate do they drink milk?
Answer:
1/6
Step-by-step explanation: in a rate you need to make it a one so you double the 1/2 gallon to make it one gallon then since you doubled that you have to double the days to 6. So they drink 1 gallon per 6 days.
How many potential phone numbers can be created from the last seven digits (XXX – XXXX) if each digit can be any number 0-9?
100,000
1,000,000
10,000,000
10,000
Answer:
10,000,000
Step-by-step explanation:
i need help with this question , its rlly hard
Read the description of the equation carefully: the flower's height h is equal to 12 + 2.25w, where w is the number of weeks that pass.
If w = 0, this means no time has passed, and so h would be the flower's starting height:
12 + 2.25•0 = 12 + 0 = 12
After 1 week, w = 1, its height would be
12 + 2.25•1 = 12 + 2.25 = 14.25
After another week, w = 2, its height would be
12 + 2.25•2 = 12 + 4.5 = 16.5
and so on.
For every week that passes, the flower grows another 2.25 inches, which is exactly what the last option is saying.