Answers
Answer:
[tex] \frac{6}{(x + 2)} [/tex]
Step-by-step explanation:
[tex] \frac{2x + 2}{x + 2} \div \frac{4 {x}^{2} +8 x + 4}{12x + 12} \\ \\ = \frac{2(x + 1)}{x + 2} \div \frac{4( {x}^{2} + 2x + 1) }{12(x + 1)} \\ \\ = \frac{2(x + 1)}{x + 2} \div \frac{( x + 1)^{2} }{3(x + 1)} \\ \\ = \frac{2(x + 1)}{x + 2} \times \frac{3(x + 1)}{ {(x + 1)}^{2} } \\ \\ = \frac{6 {(x + 1)}^{2} }{(x + 2) {(x + 1)}^{2} } \\ \\ = \frac{6}{(x + 2)} [/tex]
Related Questions
Solve 4x + 1 = 3 – 2x
Answers
Answer:
x = 1/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
4x + 1 = 3 - 2x
Step 2: Solve for x
Add 2x on both sides: 6x + 1 = 3Subtract 1 on both sides: 6x = 2Divide 6 on both sides: x = 1/3Step 3: Check
Plug in x to verify it's a solution.
Substitute: 4(1/3) + 1 = 3 - 2(1/3)Multiply: 4/3 + 1 = 3 - 2/3Add/Subtract: 7/3 = 7/3Here we see that 7/3 does indeed equal 7/3.
∴ x = 1/3 is a solution of the equation.
Answer:
x=1/3
Step-by-step explanation:
4x+1=3-2x
Add 2x to both sides
6x+1=3
Subtract 1 on both sides
6x=2
x=2/6
describe the slope of the line and then find the slope.
Answers
Answer:
-4/3
Step-by-step explanation:
The line is decreasing so the slope will be negative. The slope formula is [ y2-y1/x2-x1 ].
-1-3/1-(-2)
-4/3
Best of Luck!
Lauren drew a tower using only similar quadrilaterals.
Which statement about the quadrilaterals must be true?
O The quadrilaterals have corresponding angles that are congruent.
0 The quadrilaterals are all the same size and shape.
O The quadrilaterals are different shapes but the same size.
O The quadrilaterals have corresponding sides that are congruent.
Answers
Answer:
B. The quadrilaterals are all the same size and shape.
Step-by-step explanation:
Lauren was drawing a tower ONLY using SIMILAR quadrilaterals, so since that is, since the quadrilaterals are similar, then they must have the same size and shape.
The statement i.e. true for quadrilaterals should be
B. The quadrilaterals are all the same size and shape.
What are quadrilaterals?A quadrilateral refer to the closed shape also it is the type of polygon that comprises of four sides, four vertices, and the four angles. Here the sum of the interior angle should be equivalent to the 360 degrees.
Therefore, we can conclude that the second option is correct.
hence, the rest of the options are wrong.
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given function of f(x) = 2x - 1 and fg(x) = 10x + 3, find the function of g(x)
Answers
Answer:
The function of g(x) = 5x + 2
Step-by-step explanation:
Let us use the composite function to solve the question
∵ f(x) = 2x - 1
∵ f(g(x)) = 10x + 3
→ f(g(x)) means substitute x in f(x) by g(x)
∴ f(g(x)) = 2[g(x)] - 1
→ Equate the two right sides of f(g(x))
∴ 2[g(x)] - 1 = 10x + 3
→ Add 1 to both sides
∴ 2[g(x)] - 1 + 1 = 10x + 3 + 1
∴ 2[g(x)] = 10x + 4
→ Divide each term into both sides by 2
∵ [tex]\frac{2[g(x)]}{2}[/tex] = [tex]\frac{10x}{2}[/tex] + [tex]\frac{4}{2}[/tex]
∴ g(x) = 5x + 2
∴ The function of g(x) = 5x + 2
Will mark as brainliest ❤️
Answers
Answer:
is just a "place-holder" or "variable.
If
f
x
=
x
+
7
then (using a different variable)
f
(
t
)
=
t
+
5
or
using a constant
f
(
x
)
=
5
+
7
Since
5
+
7
=
12
for the given example
f
(
5
)
=
12
Please help me Find X:
Answers
Answer:
x=50
Step-by-step explanation:
since all the angles of a triangle when added equal 180 we are going to have an equation like this:
180=102+28+x
180=130+x
so to find the value of x we have to subtract the final number by the value already given to us so something like:
180-130
which equals 50
Solve for n.
n - 26 = -13
n =
Answers
Answer:
n= 13
Step-by-step explanation:
.................
Answer:
n=13
Step-by-step explanation:
because 26 is a negative you know that n has to be a positive so you subtract 13 from 26 and that's your answer
9 ft=_____ in Do y'all know the answer to this plz help me out plz and thanks
Answers
Answer:
108
Step-by-step explanation:
As 1 foot = 12 inches, 9 foot = 12*9 = 108.
Hope this helps! :)
Answer:
The answer is 108. 1 foot equals 12 inches. So, you just need to multiply 9 by 12. 9 x 12 = 108.
The constants a, b, and c are positive. Solve the inequality for x.
ax-b is less than c
Answers
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[tex]ax - b < c[/tex]
Add sides b
[tex]ax - b + b < c + b[/tex]
Simplification
[tex]ax < b + c[/tex]
Divide sides by a
[tex] \frac{a}{a} x < \frac{b + c}{a} \\ [/tex]
[tex]x < \frac{b + c}{a} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
can someone make my day and explain this to me
Answers
Answer:
Step-by-step explanation:
Remark
The first step is the critical one. Take the base and raise it to x. Then take the log of the base and the number whose log you need. x (the power)is brought down and the logs divided.
2^x = 1024
log 2^x = log(1024)
x log(2) = log(1024)
x * 0.30102 = 3.0102
x = 30102/0.30102
x = 10
You could use the e system to solve this as well
2^x = 1024
ln(2^x) = ln(1024)
x * ln(2) = ln(1024)
x 0.6931 = 6.9315
x = 6.9315/0.69315
x = 9.999959
x = 10
(√3+5)(√3-1) How do u solve it?
Answers
Answer:
4.93
Step-by-step explanation:
Use calculator
Mark me as brainliest
Answer:
[tex]4\sqrt3-2[/tex]
Step-by-step explanation:
[tex](\sqrt3+5)(\sqrt3-1)\\\\3+5\sqrt3-\sqrt3-5\\\\4\sqrt3-2[/tex]
Hope this helps, please award brainliest! Have a nice night.
3 (1 - x)=2 (-4x + 7)
Solve for X.
Answers
Answer:
x = 11/5
Step-by-step explanation:
3-3x = -8x +14
5x = 11
x= 11/5
3-3x = -8x + 14
Add 8x to both sides
3+ 5x = 14
Subtract 3 from both sides
5x = 11
X = 11/5
1. Carisa is going to play outside with her friends. She is going to randomly pick a ball to play with out of the
garage. There is a soccer ball, a basketball, a baseball, and a football. What is the probability she is going to
pick the basketball or the soccer ball?
Answers
Answer:
50% chance
Step-by-step explanation:
if there are four balls there is a 50% chance she will pick the basket ball or the scoccer ball. Hope this helped.
Which of the following side-angle relationships in △ABC are true? Select all that apply.
A. The largest angle is opposite the smallest side.
B. The smallest angle is opposite the largest side.
C. The smallest angle is opposite the smallest side.
D. The largest angle is opposite the largest side.
Answers
The true relationship between the angle and the side of the triangle is that the largest angle is opposite the largest side. The correct option is D.
What are a triangle's properties?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
The properties of a triangle are:
Three sides, three angles, and three vertices make up a triangle.A triangle's total internal angles are always equal to 180 degrees. This is referred to as the triangle's angle sum property.Any two triangle sides can add up to a length that is longer than the third side.The greatest side of a triangle is the side that faces the largest angle.Any exterior angle of the triangle is equal to the sum of its interior opposite angles. This is called the exterior angle property of a triangle.Therefore, the true relationship between the angle and the side of the triangle is that the largest angle is opposite the largest side. The correct option is D.
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A holiday costs £1900. Work out the
price after a 9% discount.
Answers
Answer:
$1729
Step-by-step explanation:
[tex]\frac{100-9}{100} * 1900[/tex]
Answer:
1729
Step-by-step explanation:
1900 divided by 100 is 19
1% equals 19
1 times 9 equals 9
19 times 9 equals 171
171 = 9%
171 - 1900 = 1729
price after a 9% discount is 1729
could somebody help me with this please?
Answers
Answer:
1) x ≅ 51.34°
2) y ≅ 38.66°
Step-by-step explanation:
In the right triangle given in the figure
∵ The triangle has a right angle
∴ Angles x and y are acute angles and the sum of their measures is 90°
→ By using the trigonometry function tan
∵ tan(x) = opposite side to x/adjacent side to x
∵ The opposite side to x = 10
∵ The adjacent side to x = 8
→ Substitute them in the rule above
∴ tan(x) = [tex]\frac{10}{8}[/tex] = [tex]\frac{5}{4}[/tex]
→ Use the inverse of tan to find x
∵ x = [tex]tan^{-1}[/tex]([tex]\frac{5}{4}[/tex])
∴ x = 51.34019175
∴ x ≅ 51.34°
∵ x + y = 90°
∴ 51.34 + y = 90
→ Subtract 51.34 from both sides
∴ y ≅ 38.66°
Can you please help me
Answers
Answer:
0.5
Step-by-step explanation:
The slope of the line is 1/2, so the answer is 0.5
If the company decides to produce 10,000 containers of new extra crunchy peanut butter how many containers of regular crunchy would it produce
Answers
Answer:
Step-by-step explanation:
Plz help me solve this math question
Answers
Answer:
John's family should second scheme.
g(n) = 1 + 5(n - 1)
Complete the recursive formula of g(n).
g(1) =
g(n) = g(n-1)+
Answers
Answer:
Hi... U should do like this
The recursive formula will be g(n) = g(n-1) + 5
What is recursive formula ?"A recursive formula refers to a formula that defines each term of a sequence using the preceding term(s). The recursive formulas define the following parameters:
The first term of the sequence.
The pattern rule to get any term from its previous term.
Recursive Formula for Arithmetic Sequence
The recursive formula to find the nth term of an arithmetic sequence is:
an = an-1 + d for n ≥ 2
where
an is the nth term of a A.P.
d is the common difference."
Given,
[tex]g(n) = 1 + 5(n-1)[/tex]
Let the remaining term be x
Now,
[tex]g(n) = g(n-1) + x 1 + 5(n-1) = 1 + 5(n - 1 - 1) + x\\\\ 1 + 5n - 5 = 1 + 5n - 10 + x \\\\x = 5[/tex]
So, [tex]g(n) = g(n-1) + 5[/tex]
And, [tex]g(1) = 1 + 5(1 - 1) + 5[/tex]
[tex]g(1) = 6[/tex]
Hence, [tex]g(1) = 6[/tex] and [tex]g(n) = g(n-1) + 5[/tex]
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Write an equation for the line in the given form.
slope is 5 and (-4, 8) is on the line; point-slope form
Answers
Answer:
Y =5x + 12
Step-by-step explanation:
You start with
y-8=5x(x+4)
y=5x+ 12
Which of these is an example of typing at an average rate of 42 words per minute?
Select one
Answers
Answer:
typing 16 words in 2/3 of a minute
Step-by-step explanation:
very very sorry for the late response wish i could have seen this earlier
Step-by-step explanation:
Answer:
typing 16 words in 2/3 of a minute
Step-by-step explanation:
Help me fast please i’ll give 20 points
Answers
Answer: C
You can use the formula x = -b / 2a to find the axis of symmetry.
Um técnico em eletricidade recebeu um molho que continha 12 chaves não identificadas pra abrir a porta de um quarto de hotel e efetuar os reparos necessários na rede elétrica.qual a probabilidade de ele acertar na primeira tentativa
Answers
Answer:
Step-by-step explanation:
Dado que:
Um técnico em eletricidade recebeu um pacote que continha 12 chaves não identificadas, a probabilidade de que ele acertasse na primeira vez será:
= número de ensaios / número total de ensaios disponíveis
O técnico eletricista tem apenas uma tentativa
uma vez que existem 12 chaves não identificadas, o número total de testes disponíveis 12
∴
= 1/12
= 0.0833
= 0.0833 × 100
= 8.33%
What is the coefficient in the expression 5+ 9y5+9y5, plus, 9, y?
Answers
Answer:
Step-by-step explanation:
The coefficient is the number part.
Answer:
9
Step-by-step explanation:
Correct me if i'm wrong
[tex]\frac{6\sqrt{3} }{7\sqrt{8} }[/tex]
Answers
Which values from the given replacement set make up the solution set of the inequality? 2b≥6;
A) { 3, 4}
B) {2, 3, 4}
C) {1, 2, }
D) {1, 2, 3}
Answers
WILL GIVE EXTRA POINTS
Assignment name: solving angles pairs
Answers
Answer:
33
Step-by-step explanation:
Answer:
The angle that says it is 120 degrees looks wrong. That is an acute angle
Step-by-step explanation:
I need number 10 if you can get 11 then could you help me with that too?
If it is correct I will give a Branliest!!!
Answers
Answer:
10. 3 musicians
11. a) 10 feet
b) can't read all of it
Step-by-step explanation:
Answer:
#10 should be 3
Step-by-step explanation:
a. 320 km in 5 hours is a rate of ______ per hour.
b. 48 books bought for $360 is at the rate of _______ per book.
c. If 900 litres of water flows through a tap in 2 hours, it is the rate of _____ per minute.
d. Richard works for 10 hours and is paid $145. His rate of pay is _____ per hour.
e. 5kg of peas cost $12.58, which equals _____ per kg.
Answers
Answer:
a. 64
b. 7.5
c. 7 min 5 sec
d. 14.5
e. 2.52
The rate per hour is known as the average speed.
Average speed = total distance / time
320 / 5 = 64 km / hr
The rate per book is the cost of one book.
Cost of one book = total cost of the book / number of books bought
$360 / 48 = $7.50
The rate per minute = total litres / total minutes
900 / (2 x 60)
900 / 180 = 5 litres per minute
Rate pay per hour = total amount earned / total hours worked
$145 / 10 = $14.50 per hour
Cost per kg = total cost of the peas / total weight of the peas
$12.58 / 5 = $2.52 per kg
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