Answers
Answer: A
Step-by-step explanation:
To add fractions, we want to make sure there is a common denominator. After that, we can add the numerator.
[tex]\frac{8}{z^2+6z+9} +\frac{5}{z^2-9}[/tex] [factor denominator]
[tex]\frac{8}{(z+3)(z+3)} +\frac{5}{(z+3)(z-3)}[/tex] [multiply first fractioni by z-3 and second by z+3]
[tex]\frac{8(z-3)}{(z+3)^2(z-3)} +\frac{5(z+3)}{(z+3)^2(z-3)}[/tex] [distribute by FOIL]
[tex]\frac{8z-24}{(z+3)^2(z-3)} +\frac{5z+15}{(z+3)^2(z-3)}[/tex] [add]
[tex]\frac{13x-9}{(z+3)^2(z-3)}[/tex]
This is the same as A. Therefore, A is our answer.
Related Questions
Originally, Juan borrowed $10, but his mother loaned him $3 more, so he borrowed a total of $13. He sells $25 worth of lemonade in his first week. After Juan pays his mother back the $13 he borrowed, his profit is $12.
Answers
Justification:
10+3 = 13
25-13 = 12
Answer:
12
Step-by-step explanation:
Which of the following expressions is equivalent to (x + 5)2?
O A. (x + 5)(x + 5) + 10(x + 5)
OB. (x - 5)(x + 5) + 10(x + 5)
OC. (x + 5)(x + 5) + 10(x - 5)
OD. (x - 5)(x - 5) + 10(x - 5)
Please someone help me this texts is so important and I need it done by the end of today!
Answers
Answer:
B
Step-by-step explanation:
Expand (x+5)^2 through binomial expansion and you get x^2+10x+25.
Break up the problem into little pieces like (x-5)(x+5) and 10(x+5)
Solve the first piece (x-5)(x+5) by doing something like FOIL.
x^2-25
Do the second piece
10x+50
When you add them together, it becomes x^2+10x+25, and (x+5)^2=(x-5)(x+5)+10(x+5).
Which graph correctly shows the solution of the compound inequality 3x 2 -12 and 8x < 16?
Answers
Answer:
8x < 16 it shows the solution of the compound inequality
The area common to both the graph inequalities represent the solution set.
What is inequality? Differentiate between equation and expression? inequality : An inequality is used to make unequal comparisons between two expressions or numbers.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is the compound inequality as -
3x > -12
and
8x < 16
Refer to the graph of the inequalities attached. The area common to both the graphs represent the solution set.
Therefore, the area common to both the graph inequalities represent the solution set.
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A bacterial population is modeled by the function P (t) = 10,000/1+499e^-0.6t, where t is elapsed time in days. What was the initial population of bacteria?
1
20
36
499
Answers
Answer:
It's B. 20
Step-by-step explanation:
edge 2020
Answer:
B
Step-by-step explanation:
Edg2020
Estimate the number of school-aged children in the city where the population is approximately 60,000, if 1 of every 10 citizens is a school-aged child. If 500 children can attend each school, about how many schools will the city need?
Answers
1 out of 10 are school aged.
Divide total population by 10:
60,000 / 10 = 6,000 are school aged.
Each school holds 500, divide school aged by 500:
6,000 / 500 = 12
They would need 12 schools.
The number of schools the city with the population 60,000 requires are 12.
Given that, the number of school-aged children in the city where the population is approximately 60,000.
In population 1 out of 10 are school aged.
Divide total population by 10
60,000/10 = 6,000 are school aged
Each school have 500 children, so the number of schools are
6,000/500 = 12
Therefore, the number of schools the city needs are 12.
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what 200 times 6 div by 30
Answers
1. Are there more inches in a mile or second in a day?
Answers
1day-24hours-60min-0.0167seconds
miles to inches = 63360
There is 63360 inches in a mile
What are the steps to solving this limit?
Answers
Answer:
lim(x---->0) = -5
Step-by-step explanation:
first: sin(x-π/2)= -cosx
so the equation will be :
lim(x---->0) = [-6cos(ax)-1}/cosx
solve :
lim(x---->0) = [-(6cos(a(0))-1}/cos(0)
cos0=1
lim(x---->0)=(-(6(1)-1)/1
lim(x---->0)=-6+1/1
lim(x---->0)=-5
Given point (-6, -2) and a slope of 5, write an equation in slope-intercept form.
Answers
Answer:
y = 5x + 28
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 5 , thus
y = 5x + c ← is the partial equation
To find c substitute (- 6, - 2) into the partial equation
- 2 = - 30 + c ⇒ c = - 2 + 30 = 28
y = 5x + 28 ← equation of line
the least number which is divisible by 12 40 75
Answers
h(x) = 3x + 3
g(x)=-4x + 1
Find (h+ g)(10)
How to solve this ?
Answers
Answer:
h(x ) = 3 x+ 3
g ( x ) = − 4 x + 1
( h +g ) ( x ) = 3 x + 3 − 4 x + 1 = − x + 4
( h + g ) ( 10 )
= − 10 + 4
= − 6
Step-by-step explanation:
what does 52 belong to?natural,rational,integer,whole ?
Answers
Answer:
The number 52 is a rational number if 52 can be expressed as a ratio, as in rational. A quotient is the result you get when you divide one number by another number. For 52 to be a rational number, the quotient of two integers must equal 52. ... Thus, the answer to the question "Is 52 a rational number?" is YES.
Step-by-step explanation:
The formula a = m – n represents the actual cost, a, of an item with original price m after a coupon for n dollars off is applied. Solve the formula for the amount of the coupon n. A. n = a + m B. n = m – a C. n = a – m D. n = – m – a
Answers
Answer:
n = m - a
Step-by-step explanation:
Given that:
The expression of the formula a = m - n
where;
a = actual cost of an item
m = original price
n = amount of coupon in dollars
The objective is to solve for the amount of the coupon.
In order to determine the amount of the coupon, we need to make n which is the amount of coupons in dollars the subject of the formula from the given expression.
So if a = m - n
a + n = m
n = m - a
What are the next two terms in the sequence?
5, 16, 27, 38 ...
Answers
Answer:
the next two terms are 49, 60
Answer:
49, 60
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence.
16 - 5 = 27 - 16 = 38 - 27 = 11
Thus to obtain the next term, add 11 to the previous term, that is
38 + 11 = 49
49 + 11 = 60
please answer the question
Answers
20 maybe but dont count on me I'm dumb
Does anyone know the answer to this?
18t + (3b)t + 75
Answers
18+(3b)t+753(6t+bt+25
A plane is labeled H. 3 horizontal lines are shown. From top to bottom, line k is above the plane and lines n and w are on the plane. Vertical line m cuts through the horizontal lines and the parallelogram. Point x is at the intersection of lines m and n and indicates that m is at a right angle to line n. Lines n and w are parallel to each other. Which statement is true regarding the parallel and perpendicular lines in the diagram? k Parallel to n and w Perpendicular to m k Parallel to n and n Perpendicular to m w Parallel to n and n Perpendicular to m w Parallel to n and wPerpendicular to m
Answers
Answer:
c on edge
Step-by-step explanation:
i just did it
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The correct option is C.
What is a line segment?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. A line segment is a straight line with finite length, and thus, has two endpoints(points on either end).
The diagram for the given condition can be made as shown below. Now, from the image, the following conclusion can be made,
The two lines w and n are parallel to each other.The line m is perpendicular to n, this is because the angle between the two lines is equal to 90°. The two lines k and line n are also parallel to each other.Further, if all the options are observed.
A.) k Parallel to n and w Perpendicular to m
The first half of the given statement is correct but the second half of the equation is completely wrong. Therefore, not the correct option.
B.) k Parallel to n and w Perpendicular to m
The first half of the given statement is correct but the second half of the equation is completely wrong. Therefore, not the correct option.
C.) w Parallel to n and n Perpendicular to m
Since both the parts of the statement are correct, therefore, it can be concluded that the given statement is correct.
D.) w Parallel to n and w Perpendicular to m
The first half of the given statement is correct but the second half of the equation is completely wrong. Therefore, not the correct option.
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Help quickly please~❤️❤️
Answers
Answer:
-6-b
Step-by-step explanation:
Find the value of x of this triangle.
Answers
Answer:
12x
Step-by-step explanation:
Answer: x = 35°
Step-by-step explanation:
A triangle adds up to 180°. Therefore, the equation to find the value of x is 110+2x = 180.Subtract 110 on both sides. 2x = 70Divide by 2 on both sides. x = 35°Why might you expect most absolute value equations to have two solutions? Why not three or four?
Answers
Answer:
If the absolute value expression is not equal to zero, the expression inside an absolute value can be either positive or negative. So, there can be at most two solutions. Looking at this graphically, an absolute value graph can intersect a horizontal line at most two times.
The table shows conversions of common units of length.
Approximately how many inches are in 2500 millimeters?
Please hurry up with your answer!!
Answers
Answer:
98.4252
Step-by-step explanation:
This is because 1 millimeter is 0.0393701 inches;2,500 millimeters =0.0393701 multiply 2,500=98.4252.
Answer:
It’s would be 98
Step-by-step explanation:
Have a good rest of your day:)
A flowchart proof : 1).contains a set of sentences explaining the steps needed to reach a conclusion. 2).uses inductive reasoning to prove a statement. 3).uses a visual representation of the logical flow of steps needed to reach a conclusion. 4).contains a table with a logical series of statements and reasons that reach a conclusion.
Answers
Answer:
3) uses a visual representation of the logical flow of steps needed to reach a conclusion.
Step-by-step explanation:
I took the test.
Flow charts gives a graphical or pictorial representation of the sequential steps which should be followed to solve a given problem.
Flow charts are similar to algorithms in that they provide a stepwise approach to solving a problem or reaching a conclusion on a particular task. However, flow charts reflect presents the sequence of operation in a graphical of pictorial format.
Therefore, flowcharts uses a visual representation of the logical flow of steps needed to reach a conclusion.
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describe the discontinutiy for the function f(x)= x^2+5/x-5
Answers
Answer:
f(x) = x² + 5 / x - 5
There is infinite discontinuity at x = 5. At this value, the graph becomes undefined because the denominator is 0.
Austin got 72% of the questions correct on his last math quiz if there were 25 total question how many did he answer incorrect
Answers
Answer:
Austin answered 7 questions incorrectly.
A. $35.00
B. $55.00
C. $70.00
D. $75.00
Luke opened a savings
account with a balance of
$0.00 and deposited $20.00.
During the next 2 weeks, he
made two more deposits for
$15.00 and $35.00. At the end
of the month, he made a
withdrawal that brought his
balance back to $0.00.
Assuming no interest was
earned, how much money
did Luke withdraw from his
savings account?
Students, draw anywhere on this slide!
Answers
Answer:
D, $75.00 because 35 plus 15 plus 20 is 75.
Given the table, what is the common difference in the elevation of the scuba diver?
Answers
Answer:
the common difference is that it's taking away 4 or -4
Anyone??
Which is the best estimate of
-18
-9
9
18
Answers
Answer:
18
Step-by-step explanation:
I'd did poses of elomanation
Answer:
d
Step-by-step explanation:
What is the value for X, Y, and Z?
Answers
Answer:
_________
z is 48
x is 48
y is 132
_________
Answer:
x+132=180 [ linear pair]
x=180-132=48
y=132[ opposite angles]
z=x=48 [ opposite angles]
if we add all these four angles we get 360 degree.
Mark it as brainliest!!!
Which is equivalent to 1/4
Answers
Answer:
2/8, 4/16, and so on
Step-by-step explanation:
1/4 could be equal to many numbers as long as when you simplify it down it will reach 1/4
Answer:
2/8
Step-by-step explanation:
There are many fractions which are equaivalent ( equal ) to 1/4 such as 2/8
This is because when you reduce 2/8 to its lowest terms it becomes 1/4.
HOPE THIS HELPED
A car rental company charges $19.99 per day and $0.17 per mile. Write an expression that gives the total cost in dollars to rent a car for d days and m miles.
I WILL GIVE BRAINLIEST TO THE BEST ANSWER