Brainliest to whoever gets this correct Which of the following is equal to the rational expression when x ≠ -3? x^2-9/x+3
Answers
Answer:
see below
Step-by-step explanation:
We presume you want to simplify ...
\(\dfrac{x^2-9}{x+3}=\dfrac{(x-3)(x+3)}{x+3}=\boxed{x-3}\)
__
The numerator is the difference of squares, so is factored accordingly. One of those factors cancels the denominator.
Related Questions
If /and mare parallel, which pairs of angles are congruent?
1 and 3, 2 and 4, 6 and 7, 3 and 6
Answers
Answer:
The first answer and the second answer.
Step-by-step explanation:
So when they say parrallel, they mean all the angles on one set of lines are exactly the same with the ones on the other lines.
Knowing this, we can easily see that:
angle 1 is equal to angle 3
angle 2 is equal to angle 4
angle 5 is equal to angle 7
angle 6 is equal to angle 8
So looking at the answers it must me:
A
B
Hope this helps! ;)
I attached a file if you want to have a visual understanding of this problem as well.
A jewelry store marks up the price of bracelets they purchase at $30.00 each by 75%. What is the markup and new price of each bracelet?
Answers
30x2=60
30/4=7.5
7.5x3=22.5
22.50+30= 52.50
what does the inverse of f(x)=2x-3 looks like on a graph
Answers
Step-by-step explanation:
To find this inverse of a graph you have to multiply the current equation by -1.
-1(2x-3)
f(x)=-2x+3.
This graph will start at the point (0,3). Then according to the slope the rest of the points will go down two than right one. So the next two point will be (1,1) and (2,-1).
Which statement is true about the graphed function?
F(x) < 0 over the interval (–∞, –4)
F(x) < 0 over the interval (–∞, –3)
F(x) > 0 over the interval (–∞, –3)
F(x) > 0 over the interval (–∞, –4)
Answers
The true statement, regarding the signal of the graphed function, is given by:
F(x) > 0 over the interval (–∞, –4).
When a function is positive and when it is negative?Looking at it's graph, we have that:
The function is positive when it is above the x-axis.The function is negative when it is below the x-axis.Researching this problem on the internet and looking at the graph of the function, the function is negative for all values to the right of x = -4, and positive to the left, hence the correct statement is given by:
F(x) > 0 over the interval (–∞, –4).
More can be learned about the signal of a function at brainly.com/question/25638609
#SPJ1
Bob and Tom are graduating and are no longer going to be roommates, but they both
want to keep the cat they adopted. Using the Method of Sealed Bids, Bob bids $10
and Tom bids $146 for the cat. Since Tom's bid is higher, he gets the cat. How much
will he have to pay Bob in order to keep the division fair?
Answers
Answer:
He will have to pay $56 to keep the division fair
Step-by-step explanation:
You'd have to subtract 146 and 10
six oranges cost $1.50. how much does 15 oranges cost?
Answers
Answer:
3.75 for 15 oranges
Step-by-step explanation:
Answer:
3.75
Step-by-step explanation:
We can use a ratio to solve
6 oranges 15 oranges
--------------- = --------------
1.50 x dollars
Using cross products
6x = 1.50 *15
6x =22.5
Divide each side by 6
6x/6 = 22.50/6
x = 3.75
The area of a rectangle is 28m^2, and the length of the rectangle is 5 meters less than three times the width. Find the dimensions of the rectangle. L:W:
Answers
The area of a rectangle is given by the formula
\(A=L*W\)where
A=28 m2
L=3W-5
substitute given values in the formula
\(\begin{gathered} 28=(3w-5)W \\ 28=3w^2-5w \\ 3w^2-5w-28=0 \end{gathered}\)Solve the quadratic equation
Using the formula
we have
a=3
b=-5
c=-28
substitute
\(w=\frac{-(-5)\pm\sqrt{-5^2-4(3)(-28)}}{2(3)}\)\(w=\frac{5\pm19}{6}\)The solutions for w are
w=4 and w=-2.33 ( is not a solution because is a negative number)
so
The width w=4 m
Find out the value of L
L=3w-5=3(4)-5=7 m
therefore
L=7 mW=4 mJessica needs to rent a moving truck for one day. She can choose to rent a moving truck from Rentals Plus or from Speedy Move. At Rentals Plus, it costs $5.24 to rent a moving truck for one day, plus $4.46 per mile driven. At Speedy Move, it costs $85.24 to rent a moving truck for one day, plus $0.46 per mile driven. How many miles would Jessica have to drive for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move?
Answers
Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.
How find how many miles would Jessica have to driveLet's assume the number of miles driven is represented by 'm'. The cost of renting a moving truck for one day at Rentals Plus can be calculated using the equation:
Cost at Rentals Plus = $5.24 + $4.46 * m
Similarly, the cost of renting a moving truck for one day at Speedy Move can be calculated using the equation:
Cost at Speedy Move = $85.24 + $0.46 * m
To find the number of miles that makes the costs equal, we can set up the equation:
$5.24 + $4.46 * m = $85.24 + $0.46 * m
By rearranging the equation, we can solve for 'm':
$4.46 * m - $0.46 * m = $85.24 - $5.24
$4 * m = $80
m = $80 / $4
m = 20
Therefore, Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.
Learn more about cost at https://brainly.com/question/29509552
#SPJ1
Cally wants to coat her driveway with a winter sealer. Her driveway is 18 feet long and shaped like a trapezoid. At the garage door, the driveway is 12 feet wide, then it widens to 20 feet at the street. How many square feet of sealer should Cally buy if she wants to apply two coats?
Answers
Answer:
Amount of Winter sealer for 2 coats[in square feet] = 576 square feet
Step-by-step explanation:
Given:
Length of drive way at garage door = 12 feet
Length of drive way at street = 20 feet
Length of total driveway = 18 feet
Find:
Amount of Winter sealer for 2 coats[in square feet]
Computation:
Amount of Winter sealer for 2 coats[in square feet] = 2[Area of trapezoid]
Amount of Winter sealer for 2 coats[in square feet] = 2[(1/2)(Sum of parallel side)(Height)]
Amount of Winter sealer for 2 coats[in square feet] = 2[(1/2)(12 + 20)(18)]
Amount of Winter sealer for 2 coats[in square feet] = 2[(1/2)(32)(18)]
Amount of Winter sealer for 2 coats[in square feet] = 32 x 18
Amount of Winter sealer for 2 coats[in square feet] = 576 square feet
Put the numbers in ascending order:
-6, 19, 4, -22, 9
Answers
Answer:
-22, -6, 4, 9, 19
Step-by-step explanation:
hope this helps
An airplane that flies from New York City to Los Angeles for Speedy State Airlines flies at an average speed of
450 mph and uses an average of 0.5 gal of fuel every second.
1. Determine the plane's fuel efficiency, in miles per gallon, by first converting the plane's speed into miles per
second.
Answers
Answer:
0.25 mpg
Step-by-step explanation:
Given the speed of an airplane is 450 mph and its fuel consumption is 0.5 gal/second, you want the fuel efficiency.
Unit conversionIt is convenient to use the same unit of time in each of the given rates. The speed in miles per second is ..
(450 mi/h) × (1 h)/(3600 s) = 1/8 mi/s
EfficiencyThe fuel efficiency is found by dividing the distance traveled in one second by the fuel used in one second:
η = (1/8 mi)/(0.5 gal) = 1/(8×0.25) mi/gal = 1/4 mi/gal
The plane's fuel efficiency is 1/4 mile per gallon.
Please help
The table below shows the height of students in a group.
What is the mean height of the students in the group?
A. 48 inches
B. 49 inches
C. 53 inches
D. 52 inches
Answers
Rearrange tiles on the board to represent equivalent
expressions.
Which expressions are equivalent to 6 +(-x) + 2x + (-7)
+ 2x? Check all that apply.
Ox+ x + 6-7 + x
+
2x + 2 + x
O 3-X + 2x - 4 + 2x
-1-1-1-
DX-1
Ox+1
Board sum: 6 + (-x) + 2x + (-7) + 2x
Answers
Answer:
Its a and c
Step-by-step explanation:
Did it and got it right
The equivalent expression to 6 + (-x) + 2x + (-7) is x - 1
How to find equivalent expressionGiven expression
6 + (-x) + 2x + (-7)
= 6 - x + 2x - 7
= x - 1
Options
x + x + 6 - 7 + x= 3x - 1
2x + 2 + x= 3x + 2
3 - x + 2x - 4 + 2x= 3x - 1
x - 1True
x + 1Learn more about equivalent expression:
https://brainly.com/question/2972832
Please Help me Due in 2 Mins
Answers
this temperature to Fahrenheil. 1.3 If 1 cm'- 1 ml and 1 000 cm -1 4. Determine the following: 1.3.1 How many cm' are in 875 ? 1.3.2 How many t are there in 35,853 cm'?
Answers
We will solve it as follows:
1.3.1: We transform liters to cubic centimeters:
\(x=\frac{875\cdot1000}{1}\Rightarrow x=875000\)So, there are 875 000 cubic centimeters.
1.3.2: We transfrom cubic centimenters into liters:
\(x=\frac{1\cdot35853}{1000}\Rightarrow x=35.853\)So, there are 35.853 liters.
Seymour has 5 candy bars that he would like to split equally among 4 children. How much candy will each child get?
Answers
u diviide the number of candies by the number of people
Step-by-step explanation:
5/4
Answer:
Each child would get 1 1/4 of a candy bar
Step-by-step explanation:
If Seymour is 1 out of 4 kids and has 5 candy bars each kid gets 1 candy bar (4 candy bars) and then there is 1 candy bar remaining. This 1 candy bar can then be split into 1/4ths so each kid gets 1 1/4 candy bars.
help me pleaseeeee ive been stuck on this question and looked at the videos i need helpp with it.
Answers
Answer:
Step-by-step explanation:
a) 2x-6 is equivalent to 1) -6+2x
b) 5/3-x+1/3 is equivalent to 4) x-3+x
c) 2x-3 is equivalent to 3) -6.9++4.9
d) 3x+0 is equivalent to 2) 3x
e) 3/5-13/5 is equivalent to 5) 3/2x+2+1/2x
The graph below shows the solutions to which inequality?
A. x^2-3x+3 ≥0
B. x² + 3x-3 <0
C. x²-3x+3<0
D. x² + 3x-3>0
Answers
The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.
option B.
What is the solution of the inequality?The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;
The solution of the graph,
x > -4 and x < 1
The first equation with "≥" is ruled out because the graph doesn't have a thick dot.
Let's simplify the second expression;
x² + 3x - 3 < 0
solve using quadratic formula;
x > -3.79 or x < 0.79
The third expression is ruled out since its solution will be complex.
For the last expression;
x² + 3x - 3 > 0
x < -3.79 or x > 0.79
Thus, the correct inequality expression is x² + 3x - 3 < 0.
Learn more about inequality expression here: https://brainly.com/question/25275758
#SPJ1
2.
3.5 in.
4 in.
6 in.
What is surface area
Answers
Given that three factors are given and the surface area is required, this means that we are dealing with a three-dimensional shape. Where the above is a rectangular prism, the surface area = 118 In².
What is the explanation for the above response?
Surface area is the measure of the total area that the surface of a three-dimensional object occupies.
To calculate the surface area of an object, you need to add up the areas of all its faces. The formula for finding the surface area of a rectangular prism, which has three pairs of congruent rectangular faces, is:
Surface area = 2(lw + lh + wh)
where l, w, and h are the length, width, and height of the rectangular prism, respectively.
So, if we have a rectangular prism with the following dimensions:
Length (l) = 3.5 inches
Width (w) = 4 inches
Height (h) = 6 inches
The surface area can be calculated as follows:
Surface area = 2(lw + lh + wh)
= 2(3.5 x 4 + 3.5 x 6 + 4 x 6)
= 2(14 + 21 + 24)
= 2(59)
= 118In²
Therefore, the surface area of this rectangular prism is 118 In².
Learn more about Surface Area at:
https://brainly.com/question/14987814
#SPJ1
Full Question:
Although part of your question is missing, you may be referring to this full question:
Given a rectangular prism with the following dimensions:
3.5 in.
4 in.
6 in.
What is surface area?
3 cubed - c+b when b=6, c=8
Answers
Answer: 25
Step-by-step explanation:
3 cubed is equal 27
27 - 8 = 19
19 + 6 = 25
Hope This HELPS
Hey guys can you please help me out with my math homework
Answers
Answer:
I Think its 81.68141
PLEASE HELP!! What is the surface area of the cone?
Answers
Hope this helped
Describe a situation that can be represented by the expression –15 + 8.
Answers
Answer:
-7
Step-by-step explanation:
Tiger Woods was 15 under par after the third round of a golf tournament, but was 8 over par for the fourth round. So, his score for the entire tournament was -15 + 8 = -7 (That is, 7 under par).
How many solutions can be found for the equation 5x + 3(x − 1) = 10x − 2x − 3?
None
One
3. Two
4. Infinitely many
Answers
Answer:
4. Infinitely many
Step-by-step explanation:
5x + 3(x − 1) = 10x − 2x − 3
5x+3x-3=8x-3
5x+3x-8x=3-3
0=0
x∈R
I NEED HELPP
1. Graph the numbers on the number line
1. Use <, > or = to compare
2. Graph the numbers on the number line
3. Use <, > or = to compare
4. Write in order from least to greatest
5. Write in order from greatest to least
Answers
Comparing the √17 and 29/7 using <, > or = , we have √17 < 29/7.
Define comparing.Mathematical number comparison is the process or method of comparing two numbers to determine whether one is less, bigger, or equal to the other. The comparison symbols for numbers are "=", which stands for "equal to," "=", which stands for "greater than," and " ", which stands for "less than." Comparing amounts is a technique for figuring out how much to compare units in relation to a different standard or reference unit. A common reference point is necessary for two comparing units to be compared; otherwise, they cannot be compared.
Given,
Comparing the following using <, > or = ,
Numbers:
√17 and 29/7
For √17
Simplifying,
√17 = 4.123
For 29/7
29/7 = 4.14
√17 < 29/7
To learn more about comparing, visit:
https://brainly.com/question/29467965
#SPJ1
A manufacturing company finds that they can sell 250 items at $3.50 per item and 350 items at $2.50 per item.
If the relationship between the number of items sold a and the price per item p is a linear one:
Find a formula that gives a in terms of p: x =
Now use the formula to find the number of items they will sell if the price per item is $1.50.
They will sell…
items if the price is $1.50.
Answers
Answer:
a = 600 -100pa = 450 for p = 1.50Step-by-step explanation:
You want the formula that represents (p, a) = (3.50, 250) and (2.50, 350) as a linear function. Then you want the value of 'a' for p = 1.50.
SlopeWe can see from the ordered pairs that 'a' goes up by 100 when p goes down by 1.00. The slope is ...
m = ∆a/∆p = 100/(-1) = -100
InterceptThe y-intercept (b) can be found by solving the slope-intercept equation for b:
y = mx +b
b = y - mx
For (x, y) = (3.50, 250), the value of 'b' is ...
b = 250 -(-100)(3.50) = 600
EquationThe slope-intercept equation for 'a' in terms of p is ...
a = -100p +600
Evaluation
The value of 'a' for p = 1.50 is ...
a = -100(1.50) +600
a = 450
They will sell 450 items if the price per item is $1.50.
An apple pie is divided into eight equal slices with each slice being 280 calories. How much calories are in the entire pie
Answers
Answer:
2240
Step-by-step explanation:
280*8= 2240
plzz hellp this is so hard
Answers
Answer:
the correct answer is 290 / 605
How much would Gwen and Lisa have to buy if they also had to replace the fence on their pool? Show how you found the answer.
Answers
To accurately determine the amount they would have to buy, we would need the specific measurements of the pool, the desired fence height and any other requirements they have.
To determine how much Gwen and Lisa would have to buy to replace the fence on their pool, we would need more specific information about the pool's dimensions, the type of fence they want, and any other relevant details.
Let's consider some factors that could affect the amount they would need to purchase:
Perimeter of the pool:
The length of the fence required would depend on the perimeter of the pool.
If we know the dimensions of the pool, we can calculate its perimeter by adding up the lengths of all sides.
Fence height:
The height of the fence is another important factor. Depending on local regulations or personal preferences, Gwen and Lisa might need a specific height for their pool fence.
This would determine the length of fencing material they need to purchase.
Fence type and style:
Different types of fences, such as chain-link, wood, vinyl, or wrought iron, have varying costs and installation requirements.
The choice of fence material and style will impact the amount they would have to buy.
Gates and openings:
If Gwen and Lisa require gates or openings in the fence, they would need to account for these as well.
The number and size of gates would affect the total amount of fencing material needed.
With these details, we can calculate the perimeter, account for gates and openings and factor in the material type and style to provide an estimate of the amount of fencing they need to purchase.
For similar questions on pool
https://brainly.com/question/28063924
#SPJ11
determine whether y=-2x^2 +1 is a function
Answers
Answer:
Yes, the equation y = -2x^2 + 1 is a function.
Step-by-step explanation:
A function is a rule that assigns a unique output (y-value) to each input (x-value). In the given equation, we can see that for any given value of x, there is only one corresponding value of y.
To check this more formally, we can use the vertical line test. If a vertical line intersects a graph in more than one point, then the graph does not represent a function. If a vertical line intersects the graph in only one point, then the graph does represent a function.
The graph of the equation y = -2x^2 + 1 is a downward opening parabola. The vertex of the parabola is at (0,1). Since any vertical line intersects the graph at most once, we can conclude that the equation y = -2x^2 + 1 represents a function.