Determine what must be multiplied so that the expression below will have a common denominator. Use the backslash / to type in a fraction.
Answer:
Multiply the first fraction by [tex]\frac{x+4}{x+4}[/tex]
Multiply the second fraction by [tex]\frac{x-4}{x-4}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4}{x^2 - 16} + \frac{3}{x^2 + 8x + 16}[/tex]
Required
Make the denominator equal
[tex]\frac{4}{x^2 - 16} + \frac{3}{x^2 + 8x + 16}[/tex]
Factorize the denominator
[tex]\frac{4}{x^2 - 4^2} + \frac{3}{x^2 + 4x + 4x+ 16}[/tex]
[tex]\frac{4}{(x - 4)(x + 4)} + \frac{3}{(x+ 4)(x + 4)}[/tex]
Multiply the first fraction by [tex]\frac{x+4}{x+4}[/tex]
Multiply the second fraction by [tex]\frac{x-4}{x-4}[/tex]
[tex]\frac{x+4}{x+4} * \frac{4}{(x - 4)(x + 4)} + \frac{3}{(x+ 4)(x + 4)} * \frac{x-4}{x-4}[/tex]
[tex]\frac{4(x + 4)}{(x - 4)(x + 4)(x + 4)} + \frac{3(x - 4)}{(x+ 4)(x + 4)(x - 4))}[/tex]
[tex]\frac{4(x + 4)}{(x^2 - 16)(x + 4)} + \frac{3(x - 4)}{(x^2 - 16)(x + 4))}[/tex]
The expression now have the same denominator
What is the area of the trapezoid shown? * 4cm 10cm 10cm 8cm
Which sentence contains a gerund phrase?
The goal of the class was learning how to use a computer keyboard.
Washing clothes regularly allows Annabelle to always have something clean to wear.
To sing with the Metropolitan Opera has been my dream throughout my life.
Troubled by the noise from the trains, Cole began to wear sound-muting headphones.
Answer:
its b
Step-by-step explanation:
i took the test
Answer: its b cause i took the test and got it right
When do you use the divergence test, comparison test, p test, geometric, integral, comparison, limit comparison, and alternating series?
Step-by-step explanation:
Divergence Test: use this when the limit as n approaches infinity of a sequence isn't 0.
If lim(n→∞) an ≠ 0, then an diverges.
(Note this only tests divergence, not convergence.)
P Test: use this when the series is a p-series.
For an = 1 / nᵖ, if p > 1, then the series converges. Otherwise, it diverges.
Geometric Test: use this when the series is a geometric series.
For an = a₁ (r)ⁿ, if -1 < r < 1, then the series converges. Otherwise, it diverges.
Integral Test: use this when the sequence can be easily integrated.
If ∫₁°° f(x) dx converges, then ∑₁°° f(n) converges.
If ∫₁°° f(x) dx diverges, then ∑₁°° f(n) diverges.
Comparison Test: use this when a sequence is similar to a p-series or a geometric series.
If bn > an and bn converges, then an converges.
If bn < an and bn diverges, then an diverges.
Otherwise, inconclusive.
Limit Comparison Test: use this when comparison test is inconclusive.
If an ≥ 0 and bn > 0, and lim(n→∞) an/bn > 0 and finite, then an and bn either both converge or both diverge.
Alternating Series Test: use this when the series is alternating. This usually includes (-1)ⁿ or (-1)ⁿ⁺¹, but might use trig functions instead.
If an = (-1)ⁿ bn or (-1)ⁿ⁺¹ bn, where bn ≥ 0, and if lim(n→∞) bn = 0, and bn is decreasing, then an converges.
(Notice this only tests for convergence, not divergence.)
What is the mean score what is the median of the score brookewood medical center
Step-by-step explanation:
The mean of a set a score is simply the average score.
To find the mean, simply sum the individual scores and divide by the total number of scores;
Mean of a set of score = [tex]\frac{Total scores}{Number of scores}[/tex]
Another way to find the mean is using:
Mean = [tex]\frac{summation of all f(x)}{summation of all the frequency}[/tex]
Multiply the frequency of each score with the score and divide by the sum of all of the frequency.
2. The median is the middle score;
Arrange the data set from the lowest to the highest, the median is the one that falls in the middle.
If there are two numbers find their sum and divide by 2.
HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Hello, I think you forgot to attach a picture
Step-by-step explanation:
When you're about ask a question there's a little thing that looks like a paper clip then you press that and attach your picture :)
what is the slope of -1,3 and 3,15
Answer:
3
Step-by-step explanation:
4x + 7y - 6z + 6y - 9x like terms
Answer:
-5x + 13y - 6z
Step-by-step explanation:
find the value of the derivative at the indicated point. f(x)=2+3cosx, (π,-1)
Answer:
0
General Formulas and Concepts:
Derivative is the slope of the tangent line
Derivative of a constant = 0Derivative of cos(x) = -sin(x)Step-by-step explanation:
Step 1: Write function
f(x) = 2 + 3cos(x) (π, -1)
Step 2: Solve
Find 1st Derivative: f'(x) = -3sin(x)Substitute: f'(π) = -3sin(π)Evaluate: f'(π) = -3(0)Multiply: f'(π) = 0Step 3: Define
f'(π) = 0 tells us that when x = π, the slope of the tangent line is 0.
Which values are two of the possible solutions to the equation?
Answer:
#1
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
did it on ed
the area of this figure is? sq meters
Answer:
The figure was not included in your question?
Marsha gave the cashier $40 to pay for 3 pairs of socks and 1 shirt for 13.50. The cashier gave her $9.03 in change. Each pair of socks cost the same amount.
Answer:
5.82
Step-by-step explanation:
first I subtract 40 from 13.50 which gave me 26.50 . then i subtract 26.50 from 9.03 which gave me 17.47 then i divide 17.47 by 3 which gave me 5.8233333
Examine this algebraic expression:
3x
4
− 2y +
3
7
What are the variables?
What are the coefficients?
3x/4 and –2y
What is the constant?
Answer:
C/ x and y
A/-2 and 3/4
B/ 3/7
Step-by-step explanation:
i got it right
The variables are x and y, the coefficients are -2 and 3/4, and the constant is 3/7 in the given algebraic expression 3x/4 − 2y + 3/7.
What is the algebraic expression?Algebraic expressions are mathematical statements that comprise at least two variables or integers.
What are arithmetic operations?Arithmetic operations can also be described via subtracting, dividing, and multiplying built-in functions.
We have been the given algebraic expression as :
⇒ 3x/4 − 2y + 3/7
Here variables are x and y
The coefficients are -2 and 3/4
The constant is 3/7
Therefore, the variables are x and y, the coefficients are -2 and 3/4, and the constant is 3/7 in the given algebraic expression 3x/4 − 2y + 3/7.
Learn more about the algebraic expression here :
brainly.com/question/21751419
#SPJ2
What is 1.03333... (3 repeating) as a fraction?
Answer:
1033
1000
Step-by-step explanation:
Multiple the numerator and the denominator both by 10 for every number that follows the decimal point
1.033 x 1000 = 1033
1 x 1000 1000
What is an equation in standard form of the line that has x-intercept 1 and y-intercept 4?
Answer:
4x +y = 4
Step-by-step explanation:
The intercept form of the equation for a line is ...
x/x-intercept +y/y-intercept = 1
For the given intercepts, this is ...
x/1 +y/4 = 1
Multiplying by 4 gives the standard-form equation:
4x +y = 4
Short Response What is the cost of 15 tomatoes?
HOME GROWN VEGETABLES
Cucumbers 6 for $2
Peppers 12 for $9
Tomatoes 6 for $4
Answer:
60
Step-by-step explanation:
15x4= 60
Which expression is the result of factoring the expression below by taking out its greatest common factor?
4x^2+ 16x– 4 = ?
Answer:
Step-by-step explanation:
If you factor out the greatest common factor (4), your expression should be
4 (x^2 + 4x - 1)
Answer:
[tex]4(x^2+4x-1)[/tex]
Step-by-step explanation:
Solve w - 4b = 1 for w
PLEASE ANSWER NEED QUICK ILL GIVE BRAINLISET
Answer:
A) y = 3x -2 is the answer
Step-by-step explanation:
The y-intercept is -2
The slope is going up 3 and right 1 which is 3/1 and 3 divide by 1 is 3.
Hope this helps and pls do mark me brainliest:)
What is the mixed number form of 27/4 SOMEONE PLS HELP
Answer:
6 [tex]\frac{3}{4}[/tex]
Help.-. Plsssssssssss
Answer:
mDE = 9
Step-by-step explanation:
mCD and mDE must add up to mCE
Step 1: Set up equation
mCD + mDE = mCE
5x + 1 + 3x + 3 = 20
Step 2: Solve for x
Combine like terms: 8x + 4 = 20Subtract 4 on both sides: 8x = 16Divide both sides by 8: x = 2Step 3: Find mDE
mDE = 3x + 3
mDE = 3(2) + 3
mDE = 6 + 3
mDE = 9
I need help plz
The mapping below represents all of the
points on a graph. Is the graph a function?
find the value of x.
I need to show my work***
THANK YOU
Answer:
29 = x
Step-by-step explanation:
The two angles shown are vertical angles and vertical angles are equal
59 = 2x+1
subtract 1 from each side
59-1 = 2x+1-1
58 = 2x
Divide by 2
58/2 = 2x/2
29 = x
which angles are corresponding angles?
Answer:
<3 and <11
Step-by-step explanation:
Please help me! I’ll name you brainiest!!!
Answer:
80
Step-by-step explanation:
first, put in (5x-4) for the x in g(x).
g(f(x))=(5x-4)^2 -1
now, FOIL and simplify.
25x^2-40x+16-1
25x^2-40x+15
now, plug in -1 for x.
25(-1)^2-40(-1)+15
25+40+15
80
What is the value of f(5) if f(3)=10 and the rate of change over the interval 3≤x≤5 is 15?(1 point
f(5)=40
f(5)=20
f(5)=5
f(5)=10
The average rate of change of [tex]f(x)[/tex] over 3 ≤ x ≤ 5 is
[tex]\dfrac{f(5)-f(3)}{5-3}=15[/tex]
Solve for [tex]f(5)[/tex]:
[tex]\dfrac{f(5)-10}2=15[/tex]
[tex]f(5)-10=30[/tex]
[tex]\boxed{f(5)=40}[/tex]
Four more than three times a number (x) is at least nineteen Inequality:
Answer:
x >= 5
(x is greater and equal than 5)
Step-by-step explanation:
4+3x >= 19
3x >= 19-4
3x >= 15
x >= 5
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hope it helps
Find the area of the triangle. 13 m 16 m
Answer:
Area = 104
Step-by-step explanation:
The equation to find the area of a triangle is A = 1/2 BH
so if we plug in to numbers into the equation we get
A = 1/2 13*16 no we can multi plier 13*16 and we get 208
and last we can multiply 1/2 to 208 and our final answer is 104
High Hopes^^
Barry-
A store is having a sale to promote a new product. Every item in the store is 1/6 off the regular price. If an item is on sale for $74, what was the regular price? Show your work.
1/6 off means the regular price for that item should be: $88.8
Work:
The sale = $74 ÷ 5 × 1 = $14.8
=> The regular price = $14.8 x 6 = $88.8
What is the quotient for 6 and 1/2 divided by 3/4
Answer:
I believe it is 4
Step-by-step explanation:
