3х
Which expression is equivalent to X+ 1 divided by x + 1?
3х 1
X+1 x+1
1
3х
х+ 1 x+1
3х
х+1
1
Х+ 1
х+1 x+1
3х 1
Answers
Answer:
first option
Step-by-step explanation:
Given
[tex]\frac{3x}{x+1}[/tex] ÷ x + 1 = [tex]\frac{3x}{x+1}[/tex] ÷ [tex]\frac{x+1}{1}[/tex]
To perform the division
Leave the first fraction, change division to multiplication and turn the second fraction upside down, that is
= [tex]\frac{3x}{x+1}[/tex] × [tex]\frac{1}{x+1}[/tex]
Option A is correct, (3x/x+1).(1/x+1) is the equivalent expression of the expression 3x/x+1 divided by x+1.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 3x/x+1 divided by x+1.
We need to find the equivalent expression of it.
3x/x+1 divided by x+1 can be mathematically written as below
(3x/x+1)/x+1
(3x/x+1) is the numerator and x+1 is in denominator
(3x/x+1)/(x+1/1)
When a fraction is divided by another fraction the denominator is multiplied to numerator as a reciprocal.
(3x/x+1).(1/x+1)
Hence, Option A is correct, (3x/x+1).(1/x+1) is the equivalent expression of the expression 3x/x+1 divided by x+1.
To learn more on Expressions click:
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Related Questions
Which expression is equivalent to 5(9 + 7). I will mark brainliest if you answer. DatGuy323 I like You! Answer please
Answers
Answer: 80
Step-by-step explanation:
[tex]5(9+7)\\\\Parenthesis\\\\5(16)\\\\Multiply\\\\80[/tex]
Hope it helps <3
which equation describes this line? A. y-3=2(x-2) B. y-9=2(x-1) C. y-1=2(x-9) D. y-2=2(x-3)
Answers
Answer:
y = 2x + 7
Step-by-step explanation:
Step 1: Find slope
m = (9 - 3)/(1 + 2)
m = 2
y = 2x + b
Step 2: Find b
9 = 2(1) + b
9 = 2 + b
7 = b
Step 3: Rewrite equation
y = 2x + 7
Answer:
B) y - 9 = 2(x - 1)
Step-by-step explanation:
(-2, 3) ;(1,9)
[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{9-3}{1-[-2]}\\\\=\frac{6}{1+2}\\\\=\frac{6}{3}\\\\=2[/tex]
(1, 9 ) ; m = 2
Equation: [tex]y - y_{1}=m(x - x_{1})\\\\[/tex]
y - 9 = 2(x - 1)
y - 9 = 2x -2
y = 2x - 2 + 9
y = 2x + 7
A group of 20 people visited Anglesey for a weekend break.
• 10 of the group visited Beaumaris Castle.
• 13 of the group visited South Stack Lighthouse.
• 4 of the group did not visit either of these places.
Complete the Venn diagram below by stating the number of people in each region A,B,C and D to show this information.
The universal set, ε, contains all of the 20 people in the group.
Answers
Answer:
A = 4, B = 3, C = 7, D = 6
Step-by-step explanation:
A = 4 because A represents the number of people who didn't visit either place. This means that B + C + D = 20 - 4 = 16. To find C, which is the overlap we can do 10 + 13 - 16 = 7 so C = 7 which means B = 10 - 7 = 3 and D = 13 - 7 = 6.
Answer:
A = 4, B = 3, C = 7, D = 6
Step-by-step explanation:
The state tax rate on 1973 incomes was 2% on the first $1000 of income subject to tax and 3% on the next $2000 or any part thereof. By special law, the State allowed a deduction of 1/4 of the tax computed on the above schedule. In 1973, $1800 of Mr. Brown's income was subject to tax. What was the amount of his tax? A) $11 B) $27 C) $33 D) $9
Answers
Answer: C) $33
Step-by-step explanation:
1973 tax rate :
2% on the first $1000 income
3% on next $2000 or any part thereof ;
Brown's total income of $1800
2% of $1000
0.02 × $1000 = $20
3% of $800
0.03 × 800 = $24
Total tax = $(20 + 24) = $44
1/4 tax deduction:
(1/4) of total tax
(1/4) × $44
0.25 × $44
= $11
Total tax - tax deduction
$44 - $11 = $33
Tax amount = $33
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 290 people over the age of 55, 68 dream in black and white and among 288 people under the age of 25, 19 dream in black and white. Use a 0.05 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion of those underIdentify the test statistic?Identify the p value?Test the claim by constructing an appropriate confidence level?What is the conclusion base on the hypothesis test?What is the conclusion base on the confidence level?
Answers
Answer:
he proportion of people over 55 who dream in black and white is greater than the proportion of those under.
The proportion of people over 55 who dream in black and white lies in the range (0.112, 0.226).
Step-by-step explanation:
In this case we need to determine if the proportion of people over 55 who dream in black and white is greater than the proportion of those under.
The hypothesis can be defined as follows:
H₀: The proportion of people over 55 who dream in black and white is not greater than the proportion of those under, i.e. p₁ - p₂ ≤ 0.
Hₐ: The proportion of people over 55 who dream in black and white is greater than the proportion of those under, i.e. p₁ - p₂ > 0.
The information provided is:
n₁ = 290
n₂ = 288
X₁ = 68
X₂ = 19
Compute the sample proportions and total proportions as follows:
[tex]\hat p_{1}=\frac{X_{1}}{n_{1}}=\frac{68}{290}=0.235\\\\\hat p_{2}=\frac{X_{2}}{n_{1}}=\frac{19}{288}=0.066\\\\\hat P=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{68+19}{290+288}=0.151[/tex]
Compute the test statistic value as follows:
[tex]z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat P(1-\hat P)[\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}[/tex]
[tex]=\frac{0.235-0.066}{\sqrt{0.151(1-0.151)[\frac{1}{290}+\frac{1}{288}]}}\\\\=5.67[/tex]
The test statistic value is 5.67.
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
Compute the p-value as follows:
[tex]p-value=P(Z>5.67)\\=1-P(Z<5.67)\\=1-\approx1\\=0[/tex]
The p-value of the test is quite small.
The null hypothesis will be rejected at 5% significance level.
Thus, the proportion of people over 55 who dream in black and white is greater than the proportion of those under.
The significance level of the test is 5%.
Then the confidence level will be:
Confidence level = 100% - Significance level
= 100% - 5%
= 95%
Compute the 95% confidence interval for the difference between proportions as follows:
[tex]CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p_{1}(1-\hat p{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p{2})}{n_{2}}}[/tex]
The critical value of z for 95% confidence level is z = 1.96.
[tex]CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p_{1}(1-\hat p{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p{2})}{n_{2}}}[/tex]
[tex]=(0.235-0.066)\pm1.96\cdot\sqrt{\frac{0.235(1-0.235)}{290}+\frac{0.066(1-0.066)}{288}}\\\\=0.169\pm 0.057\\\\=(0.112, 0.226)[/tex]
The null hypothesis would be rejected if the null value, i.e. (p₁ - p₂) ≤ 0 is not contained in the interval.
The 95% confidence interval consist of values greater than 0.
Thus, the null hypothesis will be rejected.
Concluding that the proportion of people over 55 who dream in black and white lies in the range (0.112, 0.226).
Find the value of x needed to make the equation below true. 1.5(2x-4)=2(4x+2)
Answers
Answer:
x= -2
Step-by-step explanation:
1.5(2x-4)=2(4x+2)
3x-6=8x+4
-5x=10
x= -2
a fruit drink is made by mixing 60ml of orange juice with 180ml of pineapple juice. what is the ratio of orange juice to pineapple juice in its simplest form?
Answers
Answer:
1:3
Step-by-step explanation:
both divide by 60 so do 60 divided by 60 which is one
then 180 divided by 60 which is three
this gives you the answer
Answer:
1:3
Step-by-step explanation:
a ratio is basically the same as a fraction just in a different form. so it would be 60/180 simplified. both 60 and 180 can be divided by 60. so you would divide both numbers by 60 to get 1/3. this cannot be simplified any further. then to put it as a ratio it would just be 1:3
Good morning
Pls I will like you all to pls put full explanation.
I am preparing for my Exam
Thank you
6/5=3/d
d=?
Answers
Answer:
5/2 or 2.5
Step-by-step explanation:
6/5=3/d
6*d=3*5
d=3*5/6
d= 5/2 or 2.5
Answer:
D=2.5Solution,
[tex] \frac{6}{5} = \frac{3}{d} \\ or \: 6 \times d = 5 \times 3(cross \: multiplication) \\ or \: 6d = 15 \\ or \: d = \frac{15}{6} \\ d = 2.5[/tex]
hope this helps...
Good luck..
The relationship between the number of hours a plumber works and the total work fee she charges is proportional. Her fee for 5 hours of work is $350. Which of the fallowing could be combination of values for the plumbers work hours and total work fee she charges ?
Answers
Answer: $70 per hour
Step-by-step explanation:
Hi, to answer this question we have to calculate the hourly fee.
To do this, we simply have to divide the 5 hour fee price (350) by the number of hours worked.(5):
Mathematically speaking:
350/5 = $70 per hour
So, since the work fee is proportional, for x hours, the expression is:
70x
Feel free to ask for more if needed or if you did not understand something.
find the gradient of the curve y=x^2 + 5x-3 at the point x= 2.
please help.
Answers
Answer:
gradient = 9
Step-by-step explanation:
Note that [tex]\frac{dy}{dx}[/tex] is a measure of the gradient.
Differentiate y using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex]) = na[tex]x^{n-1}[/tex]
Given
y = x² + 5x - 3, then
[tex]\frac{dy}{dx}[/tex] = 2x + 5
x = 2 : [tex]\frac{dy}{dx}[/tex] = 2(2) + 5 = 4 + 5 = 9 ← gradient
Someone help me do this? For math
Answers
Answer:
1, 4, 5, 7, 8
Step-by-step explanation:
once you plot the points you will see that these coordinates are inside the star
Which of the following compositions of transformations will always produce the same image, regardless of the order in which the transformations are performed?
Answers
Answer:
All compositions are affected by the order in which they are performed
Step-by-step explanation:
We have the following transformations:
-translation
-reflection
-rotation
Each of them are affected by the order in which they are performed, for example:
If we rotate we have:
(x, y) -> (y, -x).
After the reflection:
(y, -x) -> (-y, -x).
If we translated by <2, 5> and reflected through the y-axis:
After the translation, (x, y) -> (x + 2, y + 5)
In other words, all compositions are affected by the order in which they are performed
On a coordinate plane, polygon GHIJ translates 8 units to the left to form polygon G'H'I'J'. Which of the following equations is not necessarily true? A. GH = G'H' B. G'G = 8 units C. m∠HIJ = m∠H'I'J' D. m∠HI'J = m∠H'IJ'
Answers
Answer:
The answer would be letter B. This is because the problem wants you to find the equation that is not necessarily true. In this case G'G does not equal 8 units.
If f(x) = x + 8 and g(x) = x3, what is (gºf)(-5)?
Answers
Answer:
Step-by-step explanation:
f(-5) = -5 + 8 = 3
g(3) = 3^3 = 27
Classify each situation as exponential growth or exponential decay.
Answers
Answer:
Step-by-step explanation:
Exponential Growth:
1). The value of a home in a growing community every year.
2). The amount of money in a saving account that earns interest annually.
Exponential decay:
1). The monthly sale of albums of a band whose popularity is declining.
2). The amount of radioactive element remaining in a sample every decade.
3). The temperature of a hot cup of coffee left on the counter every minute.
if x=4 and y=-2, the value of 1/2xy^2 is
a. 32
b. 8
c. -4
d. -8
Answers
Answer:
b. 8
Step-by-step explanation:
To solve, we need to plug in the x and y values since we already have the values given to us
1/2(4)(2^2)
We should do the exponents first, 2^2 is 4
Now we are left with 1/2(4)(4)
4 times 4 is 16
16 times 1/2 is the same as 16/2
16/2=8
b. 8
in a survey of 9000 people, 4000 likes tea,4500 like coffee. among them 2500 dont like tea and coffee. find number of people who like tea and coffee both
Answers
Step-by-step explanation:
No of people likes tea = 4000
No of people like coffee = 4500
Total = 8500
No of people don't like tea and coffee = 2500
No of people like tea and coffee = 8500 - 2500 = 6000
Answer:
500
Step-by-step explanation:
n(t)=4000
n(c)=4500
n(tea only )= 4000-x
n(coffee only )= 4500-x
n(coffee and tea )= x
note...using Venn diagram ..all together must add up to 9000
(4000-x)+(4500-x) +x = 9000
..............
...........collect like terms
9500-9000 = x
x = 500
Marlon earns 1500 dollars each month he pays rent of 525 dollars each month Find the amount he pays in rent as a percentage of his earnings.
Answers
Answer:
35%
Step-by-step explanation:
He pays 525 out of 1500 dollars.
525/1500 = 7/20
= 0.35
Marlon pays in rent 35% of his earnings.
The product of two rational numbers is -28/75. If one of the numbers is 14/25, find the other
Answers
Answer:
-3/2
Step-by-step explanation:
Let x be the missing number
x*[tex]\frac{14}{25}[/tex] = [tex]\frac{-28}{75}[/tex] x = [tex]\frac{-28}{75}[/tex] * [tex]\frac{25}{14}[/tex] inverse 14/25 since it's a fraction x = [tex]\frac{-28*25}{75*14}[/tex] x = [tex]\frac{-4*7*25}{25*3*7*2}[/tex] write 75 as 25*3 and -28 as -4*7 to simplify x = [tex]\frac{-4}{6}[/tex] -4 is left on the top and 6 = 3*2 x = [tex]\frac{-3*2}{2*2}[/tex] x= [tex]\frac{-3}{2}[/tex]The radius of circle C is 6 units and the measure of central angle ACB is StartFraction pi Over 2 EndFraction radians. What is the approximate area of the entire circle? square units What is the approximate area of the entire sector created by central angle ACB? square units What is the approximate area of the shaded region only? square units
Answers
Answer:
Step-by-step explanation:
We khow that the radius of our circle is 6
Let A be the area of our cercle :
A= 6^2*Pi = 36 Pi = 113.09 sq.units
We khow that the mesure of our angle ABC is Pi over 2 wich is 90 degree
So this triangle ABC is a right one .
So I think that we must khow the area of this triangle to be able to khow the area of the sector .
We have a hint : ABC is 90 degree so it is the quarter of our cercle
We need to divide the area of the circle by 4
113.09 ÷4 = 28.27
Answer:
113
28
22
Step-by-step explanation:
Please help me with this question.
Answers
Answer: a) 110√2 meters
b) 2.42 hectares
Step-by-step explanation:
a) Since it is a square, the diagonal cuts the square into two 45-45-90 triangles where the diagonal is the hypotenuse. Therefore, the sides are length x and the diagonal is length x√2.
[tex]x\sqrt2=220\\\\\\x=\dfrac{220}{\sqrt2}\\\\\\x=\dfrac{220}{\sqrt2}\bigg(\dfrac{\sqrt2}{\sqrt2}\bigg)\\\\\\x=\large\boxed{110\sqrt2}[/tex]
b) Area of a square is side squared. 10,000 meters² = 1 hectare
[tex]A=(110\sqrt2)^2\\\\.\quad =(110)^2(\sqrt2)^2\\\\.\quad =12100(2)\\\\.\quad =24200\ \text{meters}^2\\\\.\quad =\large\boxed{2.42\ \text{hectares}}[/tex]
***BRAINLIEST IF ANSWERED*******
Which trigonometric ratio is correct for triangle DEF? (Hint: Use Pythagorean Theorem first) *
Sin(D)= 24/7
Tan(D)= 24/25
Cos(E)= 24/25
Sin(E)= 7/24
Answers
Answer:
First find line DE using Pythagoras theorem
That's
DE² = 7² + 24²
DE = √ 49 + 576
DE = 25
The correct trigonometric ratio for triangle DEF is
Cos(E) = 24/25
Hope this helps
Answer:
Cos(E) = 24/25
Step-by-step explanation:
Can someone help me with this
Answers
Hey there! :)
Answer:
m∠y = 55°.
Step-by-step explanation:
Begin by solving for x since y and x are supplementary angles.
Recall that all of the angles in a triangle must sum up to 180°. Therefore:
180 - 30 - 25 = 125°.
x = 125°, therefore:
180 - 125 = 55°.
m∠y = 55°.
Answer:
55 Degrees
Step-by-step explanation:
The remote interior angle theorem states that to find the value of and exterior angle (y) you need to add the two remote interior angles. (25&30)
Please help! For all values of x, F(x)= x-1 And G(x)=2x^2+3 Solve fg(x)= gf(x)
Answers
Answer:
[tex]\boxed{\sf \ \ \ x=\dfrac{3}{4} \ \ \ }[/tex]
Step-by-step explanation:
hello,
f(x)=x-1
[tex]g(x)=2x^2+3[/tex]
so
[tex]fog(x)=f(g(x))=f(2x^2+3)=2x^2+3-1=2x^2+2 \ and \\gof(x)=g(f(x))=g(x-1)=2(x-1)^2+3=2x^2-4x+2+3=2x^2-4x+5 \ \ So\\\fog(x)=gof(x) <=>2x^2+2=2x^2-4x+5\\<=>4x=5-2=3\\<=>x=\dfrac{3}{4}[/tex]
hope this helps
[tex]\frac{3}{4}[/tex]
The composition of a function is a process in which two functions [tex]f,g[/tex], are combined to produce a new function, [tex]h[/tex], with the formula [tex]h(x)=g(f(x))[/tex]. It means that the [tex]g[/tex] function is being applied to the [tex]x[/tex] function.
[tex]f(x)=x-1\\g(x)=2x^2+3[/tex]
[tex]f(g(x))=f(2x^2+3)[/tex]
[tex]=2x^2+3-1\\=2x^2+2[/tex]
[tex]g(f(x))=g(x-1)[/tex]
[tex]=2(x-1)^2+3\\=2x^2+2-4x+3\\=2x^2-4x+5[/tex]
[tex]f(g(x))=g(f(x))[/tex]
[tex]2x^2+2=2x^2-4x+5[/tex]
[tex]4x=3[/tex]
[tex]x=\frac{3}{4}[/tex]
For more information:
https://brainly.com/question/12431044?referrer=searchResults
Find the mid points of the line joining the pairs of points a.(3,4) and (5,2) b.(0,6) and (4,0) c.(4,2) and (4,-4) d.(-1,-5) and (-3,4) e.(-3,2) and (8,-2)
Answers
Answer:
a(4,3). b( 2,3). c(4,-1). d(-2,-1/2). e(5/2, 0).
Step-by-step explanation:
Hello , I can help you with that
the mid point is given by
Let
Point 1
[tex](x_{1},y_{1})[/tex]
Point 2
[tex](x_{2},y_{2})[/tex]
the midpoint is(m)
[tex]m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )[/tex]
all you have to do is to put those values into the equation
Step 1
P1(3,4) and P2(5,2)
[tex]m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{3+5}{2},\frac{4+2}{2} )\\m=(\frac{8}{2},\frac{6}{2} )\\m=(4,3)[/tex]
Step 2
P1(0,6) and P2(4,0)
[tex]m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{0+4}{2},\frac{6+0}{2} )\\m=(\frac{4}{2},\frac{6}{2} )\\m=(2,3)[/tex]
Step 3
P1(4,2) and P2(4,-4)
[tex]m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{4+4}{2},\frac{2-4}{2} )\\m=(\frac{8}{2},\frac{-2}{2} )\\m=(4,-1)[/tex]
Step 4
P1(-1,-5) and P2(-3,4)
[tex]m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{-1-3}{2},\frac{-5+4}{2} )\\m=(\frac{-4}{2},\frac{-1}{2} )\\m=(-2,\frac{-1}{2} )[/tex]
Step 5
P1(-3,2) and P2(8,-2)
[tex]m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{-3+8}{2},\frac{2-2}{2} )\\m=(\frac{5}{2},\frac{0}{2} )\\m=(\frac{5}{2} ,0)[/tex]
I really hope it helps you, have a nice day
Find the area of the following
parallelogram:
1.5 cm
2.5 cm
2.25 cm
A= [?] cm
Answers
Answer:
given,
base (b) = 2.25cm
height (h) = 1.5 cm
now,
area (a) = b×h
or, a=2.25cm×1.5cm
therefore the area of parallelogram is 3.375cm^2.
hope it helps..
Answer:3.375 cm²
Step-by-step explanation:
Find the area of the following
parallelogram:
1.5 cm
2.25 cm
Solution:
(1.5×2.25)cm²
= 3.375 cm²
Hope it helps
What is an equation of the line that is perpendicular to y=−34x+6 and passes through the point (3, 9)?
Answers
Answer:
y = 4/3x + 5
Step-by-step explanation:
if the slope is -3/4 then the perpendicular slope is 4/3
y = mx + b
9 = 4/3(3) + b
9 = 4 + b
5 = b
y = 4/3x + 5
Pick all that apply the option answer in two minutes
Answers
Answer: PQT and TUV
Step-by-step explanation:
Examine the diagram, and answer the question. The points A(2,7) and B(−4,−3) are located in the coordinate plane as shown. Points A and B are shown in the coordinate plane at the locations indicated. What is the approximate distance between the two points?
Answers
Answer:
Option (2)
Step-by-step explanation:
Formula to get the distance between two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
The given points are A(2, 7) and B(-4, -3)
Distance between these points will be,
AB = [tex]\sqrt{(2+4)^2+(7+3)^2[/tex]
= [tex]\sqrt{6^2+10^2}[/tex]
= [tex]\sqrt{136}[/tex]
= 11.66
≈ 11.7 units
Therefore, distance between the points A and B is 11.7 units.
Option (2) will be the answer.
Answer:
For those with the square root answer its 2\sqrt(34)
Step-by-step explanation:
бу2 + 13y – 8 how to factorize this?
Answers
Answer:
We have 6y² + 13y - 8. We can rewrite this as 6x² + 16x - 3x - 8. Grouping terms we get 2x(3x + 8) - (3x + 8) and since both terms have the common factor of (3x + 8) the answer is (3x + 8)(2x - 1).