The addition of the expression 5/(x² – 9) and 3/(x + 3) is (5x – 12)/[(x + 3)(x – 3)]. Then the correct option is D.
What is a fraction number?A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.
The expressions are given below.
[tex]\rm \dfrac{3}{x^2 - 9} \ and \ \dfrac{5}{x+3}[/tex]
The sum of the expressions will be
[tex]\rm \dfrac{3}{x^2 - 9} + \dfrac{5}{x+3}[/tex]
We know that the formula
a² – b² = (a + b)(a – b)
Then we have
[tex]\rm \dfrac{3}{x^2 - 3^2} + \dfrac{5}{x+3}\\\\\\\rm \dfrac{3}{(x-3)(x+3)} + \dfrac{5}{x+3}\\\\\\\rm \dfrac{3+5(x-3)}{(x-3)(x+3)} \\\\\\\dfrac{3+5x-15}{(x-3)(x+3)} \\\\\\\dfrac{5x-12}{(x-3)(x+3)}[/tex]
The addition of the expression 5/(x² – 9) and 3/(x + 3) is (5x – 12)/[(x + 3)(x – 3)]. Then the correct option is D.
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On the map below, all numbered streets run parallel to each other. Both 3rd and 4th streets are intersected by King Avenue.
A delivery driver is driving around town and has noticed that every time he turns, it creates an angle. What are the measures of Angles Y, and Z on the map?
Answer:
The answer of Y I belive its 75 degrees and Z is 105 degrees
Step-by-step explanation:
Because a triangle equals 180 so 180-75 gives you 105 for Z
im positive this is right im not sure correct me if im wrong
hope this helped
The measures of Angles Y, and Z on the map where, all numbered streets run parallel to each other is 75 and 105 degrees respectively.
What are angles formed by transverse?Angles formed by the transverse line cut by the transversal-
Corresponding angle- Corresponding angle keeps the same position on two different parallel line when cut by transverse.Alternate interior angle- This angle made inside the parallel lines cut by the transversal.Alternate exterior angle- This angle made outside the parallel lines cut by the transversal.Supplementary angle- Angle which made on the same line. The sum of the supplementary angle is equal to the 180 degrees.
In the given map, all numbered streets run parallel to each other. Here, both 3rd and 4th streets are intersected by King Avenue.
Here, the delivery driver is driving around town and has noticed that every time he turns, it creates an angle.
The angle y is the angle whose measure is 75 degree are the corresponding angle. Therefore, they must be equal as,
[tex]m\angle y=75^o[/tex]
Hence, the measure of angle y is 75 degrees.
The angle y angle z are the supplementary angle, made on the same line. Therefore,
[tex]m\angle y+m\angle z=180^o\\75+m\angle z=180\\m\angle z=180-75\\m\angle z=105[/tex]
Hence, the measures of Angles Y, and Z on the map where, all numbered streets run parallel to each other are 75 and 105 degrees respectively.
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Vanessa deposited money into a bank account that earned 1.25% simple interest each year. After 12 year, she had earned $5.00 in interest on the account. No other money was deposited into or withdrawn from the account.
How much was her initial deposit?
Answer: 800$ is the answer.
multiply to by both sides, remove 1/2.
Have a blessed day.
Can u please help me?
Step-by-step explanation:
I solved it by steps...
I hope you understand...
Find the Surface Area of the cone.
→
(Round the answer to nearest tenth.)
( use π = 3.14 )
Thanksss!
~
Cone surface area:
πr(r + s)
= 3,14 × 3 × (3 + 7)
= 3,14 × 3 × 10
= 9,42 × 10
= 94,2 m²
Nt: I from IDN
Which system of equations could be graphed to solve the equation below? log (2 x 1) = 3 x minus 2 y 1 = 3 x, y 2 = 2 x y 1 = log (2 x 1), y 2 = 3 x minus 2 y 1 = log 2 x 1, y 2 = 3 x minus 2 y 1 = log (2 x 1 2), y 2 = 3 x
The solutions to the equation log (2 x + 1) = 3x-2 are -0.5 and 0.8.
Equation to be solved is:
log (2 x + 1) = 3x-2
What is the solution to two functions?The solution to two functions is the corresponding x value where graphs of two functions intersect.
From the attached diagram, we can see that the two graphs intersect at x=-0.5 and x=0.8.
Therefore,the solutions to the equation log (2 x + 1) = 3x-2 are -0.5 and 0.8.
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Answer: it’s B
Step-by-step explanation:
took the test
The table shows some ordered pairs that belong to the continuous quadratic function Which of the following best describes the range of q?
Answer:
ion kno gang ask a teacher
An oil is well produced 2356 barrels per day. How many barrels would it produce in april
Answer:
The oil would produce 70,680 barrels in April.
Step-by-step explanation:
There are 30 days in April.
2356 x 30 = 70,680
93 is 150% of what number?
Answer:
62
Step-by-step explanation:
93÷150=0.62
×100 = 62
Hope this helps!!!!
Answer:
62
Step-by-step explanation:
Divide
93/150% = 62
(100*93) / 150
9,300/150 = 62
An angle measures 56° more than the measure of its complementary angle. What is the measure of each angle?
° and °
Answer:
34 & 34
Step-by-step explanation:
Identify Center Of Dilation and Scale Factor
see image
Answer:
Step-by-step explanation:
A ( 2 , 6 ) ------> A' ( 0 , 2 )
B ( 5 , 3 ) ------> B' ( 1 , 1 )
Equation of the line AA' is y = 2x + 2
Equation of the line BB' is y = ( 1 / 2 ) x + 1 / 2
AA' ∩ BB' = ( - 1 , 0 ) <----- this point is a center of the dilation with the scale 1 / 3
D ( - 4 , - 3 ) -------> D' ( - 2 , - 1 )
C ( 2 , - 3 ) -------> C' ( 0 , - 1 )
What is the slope (3,6) (2,9)
Answer:
m = -3
Step-by-step explanation:
What is the area of the frame in square units around the picture?
Enter the expression in the box.
The value of 8x÷2−3x when x=4 is
Answer:
Value = 4
Step-by-step explanation:
32÷2-12
16-12
4
I NEED HELP IN 5 min HURRRRRRRRRRRRRY
Answer:
x = 100
Step-by-step explanation:
57 + x + 23 = 180
x + 80 = 180
x = 100
Answer:
100
Step-by-step explanation:
180-57
=123
123=x+23
x=123-23
x=100
Can some one answer these questions please!!!!
!!Use factoring expression!!
1. 7g-35
2. 60m+24n
3. 16w+6w+10
4. 40a+8b-24
5. 4r+ 28t-40
Thanks!!!!!
Answer:
1. 7(g-5)
2. 12(5m+2n)
3. 2(11w+5)
4. 8(5a+b-3)
5. 4(r+7t-10)
Step-by-step explanation:
simply take out the most common multiple of these numbers
a
The Stuart family has 5 members. They each
purchase a soda at $2.50 each and a hot dog at
$3.50 each. Use mental math to find the total cos
of the food. Justify your answer by using the
Distributive Property.
Answer:
5 (2.50 + 3.50)
The total cost is $30
$12.50 on soda and $17.50
The total cost of all the items for 5 members is $6.00 when the cost of soda is $2.50 and the cost of hot dog is $3.50.
Given that:
Cost of soda = $2.50
Cost of hot dog = $3.50
The total cost of both the items can be calculated by adding the cost of both the items.
Cost of both items = 2.50 +3.50
= $6.00
The cost can also be calculated using distributive property as:
Cost of both items = 2.00+3.00+ 0.50 + 0.50
= $6.00
Thus, the cost of both the items is $6.00.
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help me pls
if the picture is blurry here is the words.
Find the value of n in the following equation.Fill in the blank with the correct number to complete the solution.
14.) 6×3 = n-4 6×3 = n-4
6×3__=n
18+4= n
__ = n
15.) n-16=36 n-16 = 36
n= 36+__
n= ___
i edited it so the pic wont be blurry
Answer:
[tex]6 \times 3 + 4 = n \\ 18 + 4 = n \\ 22 = n[/tex]
this is 14)
and 15)
n=36+16
n=52
Helpppp :( I need help on this
Answer:
x = -7
Step-by-step explanation:
Replace the x with -7 and add 4 to -7 to get -3. Then multiply by 7 to get -21.
Answer:
X = -7Step-by-step explanation:
=> 7(x + 4)= -21multiply all the terms in the bracket by 7
=> 7x + 28 = -21make x the subject of formula
=> 7x = -21 -28subtract the value
=> 7x = -49divide both side by 7
=> x = (-49)/7divide -49 by 7
=> x = -7The altitude of an equilateral triangle is 10√3. inches. What is the perimeter of the triangle?
The standard diameter of a golf ball is 42. 67 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0. 002 mm. Which function could represent this situation? f(x ) = x – |42. 67| f(x ) = |x| – 42. 67 f(x ) = |42. 67 – x| f(x ) = 42. 67 – |x|.
Using function theory, the function that could represent this situation is
f(x) = |42. 67 – x| .
It is given that
The standard diameter of the golf ball = is 42.67
Allowable discrepancy = ±0.002
So upper limit of diameter = 42.672
The lower limit of diameter = 42.668
We need a function that can help in finding a discrepancy.
What is a function?A function is a rule which determines the relation between two variables.
The correct function that could represent this situation will be
f(x ) = |42. 67 – x|
Where x is the diameter of the ball produced.
For example, if a ball of diameter 42.665 is produced
f(x) = |42. 67 – x|
f(42.665) = |42. 67 – 42.670| = 0.005 which is more than the permitted tolerance i.e 0.002.
So, one can easily decide whether to stop production or not.
Therefore, the function that could represent this situation is
f(x) = |42. 67 – x| .
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Work out the circumference of a circle with radius 7.5cm.
Take pi too be 3.142
Answer:
47.13
Step-by-step explanation:
Answer:
mm99
Step-by-step explanation:
Suppose there is 6% sales tax. How much would you pay for bag of candy with a price tag
of $2.00?
Need help ASAP PLEASE
Answer:
40 goodie bags
Step-by-step explanation:
We know that there are 1000 grams in a 1 kilogram. So the weight of the box with the party goody bags is 6200 grams. To get the weight of just the goody bags, we subtract the weight of the empty box from the box with the goody bags. We have 6200-200=6000 grams. So the weight of all the goody bags is 6000 grams. Since each goody bag is 150 grams, we divide 6000 by 150. So, 6000/150 = 40. Therefore there are 40 goodie bags.
 Write down the first three terms of the sequence described.
The first term is 7; the term-to-term rule is 'add 3
Answer:
7, 10, 13, 16
Step-by-step explanation:
Given,
Frist term=7
term-to-term rule is add 3
Therefore first three terms will be
7, 7+3=10, 10+3= 13, 13+3=16
Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours?
187.15 divided by 19 is 9.85.
9.85 x 40 = 394
Therefore she earns $394 if she worked 40 hours.
Answer: $394
Find the measures of the interior angles of the triangle. Find A, B,C
Answer:
Step-by-step explanation:
what is the area ???
Answer:
87
Step-by-step explanation:
Split into three rectangles
Shape 1: 12 by 3 12×3=36
Shape 2: 3 by 5 3×5=15
Shape 3: 12 by 3 12×3=36
36+15+36=87
Answer:
87 yds
Step-by-step explanation:
simply break the shape into 3 smaller rectangles and find the area of each one
1st one [tex]12*3=36[/tex]
2nd one[tex]5*3=15[/tex]
3rd one[tex]12*3=36[/tex]
add up the areas [tex]36+36+15=87[/tex]
which expression is equivalent to √184 ?
a. 92 b. 2√46 c. 4√23 d. 4√46
Answer:
[tex]2\sqrt{46}[/tex]
Step-by-step explanation:
The factor of the 184 will be 2 × 2 × 46. Then the expression is equivalent to the expression 2√46, Then the correct option is B.
What is an equivalent?The equivalent is the expression that are in different forms but are equal to the same value.
The given expression is √184.
Then the factor of the 184 will be
184 = 2 × 2 × 46
Then the square root of 184 will be
√184 = 2√46
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Molly is having her birthday party at Pizza Party Palace. The costs involved are listed below. Pizza Party Palace requires a 10% deposit prior to the date of the event. If the deposit has been paid, how much is still owed for Molly's party?
Answer:
D.45
take the problem then times it by all your payments by each individual price
2 exterior angle bisector intersect an interior angle bisector at a point. What is the name of the point?
Answer:
Exterior angle bisectors of the side △ABC at vertices B and C intersect at D. Find ∠BDC if ∠BAC=40∘
Step-by-step explanation: