Subtract the rational expression
Please show the steps to the answer
Answer:
[tex]\frac{x^2-8x-12}{2x^2+5x-4}[/tex]
1. Find common denominator (LCD)(x + 3)(2x - 1) = [tex]2x^2 + 5x - 4[/tex]2. Multiply bottom to get LCD, then multiply top to matchFirst term: [tex]\frac{x}{x+3} (\frac{2x -1}{2x-1} ) = \frac{2x^2-x}{2x^2+5x-4}[/tex]Second term: [tex]\frac{x+4}{2x-1} (\frac{x+3}{x+3} )=\frac{x^2+7x+12}{2x^2+5x-4}[/tex]Ending expression: [tex]\frac{2x^2-x}{2x^2+5x-4} -\frac{x^2+7x+12}{2x^2+5x-4}[/tex]3. Rewrite terms in a single fraction[tex]\frac{2x^2-x}{2x^2+5x-4} -\frac{x^2+7x+12}{2x^2+5x-4}[/tex] -----> [tex]\frac{(2x^2-x)-(x^2+7x+12)}{2x^2+5x-4}[/tex]4. Subtract, then combine like termsFinal answer: [tex]\frac{x^2-8x-12}{2x^2+5x-4}[/tex]
A recipe calls for 2 fluid ounces of cooking oil. Nadine measures the oil into a measuring cup to the 14-cup mark.
Did Nadine pour the correct amount of oil?
A. No, she poured 1 ounce too much.
B. No, she poured 1 ounce too little.
C. No, she poured 0.5 ounce too little.
D. Yes, she poured the correct amount.
Answer:
D
Step-by-step explanation:
i answered from plato
18. Classify Each Angle Pair then find the value of X
Each group of words is a clause from the passage with capitalization and punctuation removed. Decide which type of clause each group of words is. Drag each clause to the correct box.
(Independent: the students where exited, and they used flashlights)
(Dependent: Because they were going spelunking, and when they entered the cave)
What is are independent and dependent clauses?
Independent clause: a sentence/phrase that has a subject and verb that can stand as its own sentence and can express a complete thoughtDependent clause: a group of words that can't stand as its own sentence or express a complete thought*Reading these clauses aloud will help you hear whether or not the sentence sounds complete*
Let's look at each sentence separately to determine which clause they are:
the students were excited: this is an independent clause. It has a subject [the students] and a verb [were] and when read aloud, it sounds like a complete sentencebecause they were going spelunking: this is a dependent clause. Although it has a subject [they] and a verb [were going] it sounds incomplete and is missing a phrase before 'because' to complete the sentence.when they entered the cave: this is a dependent clause. It has a subject [they] and a verb [entered]. but there is no phrase following this clause to complete the sentencethey used flashlights: this is an independent clause: It sounds and is written as a complete sentence.formula: Area of a parallelogram = base X height
I'm kind of confused.
Find the interquartile range (IQR) of your data. Show your work.
23, 75,79,99,105,110,110,142,149,168,168,170,183,195,202
Please help I don't understand!
Answer:
Interquartile Range = 71
Step-by-step explanation:
The interquartile range is the middle 50% of the data set. First you calculate the location of the 3rd quartile (75% of the data set) by computing:
LQ3 = (75/100)(n + 1) -> here n is the number of observations you have, so 15. You can now compute LQ3 = (75/100)(16) = 12
The data at location 12 of your data set is 170.
Now you compute the 1st quartile (25% of the data set):
LQ1 = (25/100)(16) = 4
The data at location 4 of your data set is 99.
The difference between the 3rd quartile (170) and the 1st quartile (99) is your interquartile range:
IQR = 170 - 99 = 71
During science class, Jack, Jeff, and Jill measure the length of their bean sprouts. Jeff’s sprout is 0.9 times the length of Jack’s, and Jill’s is 1.08 times the length of Jack’s. Whose bean sprout is the longest?Why?
Answer:
Jill's is the longest.
if jeffs is 0.9 times the length of jacks, his is lesser than jacks. e.g. 2×0.9=1.8. Jeff's will always be shorter. since we know Jacks is over 1, Jill's will always be taller because 2×1.08=2.16 or Jill's length.
A car can travel 60 miles per hours.
A. Create a table showing house far the car travels in 5 hours.
B. Write an equation to determined the distance d that the car can travel in t hours.
C. How long will it take the car to travel 540 miles? Explain your reasoning.
D. How far will the car travel in 12 hours? Explain your reasoning
Answer:
do 60 times 5 puls540 and 12
Step-by-step explanation:
i think i am wrong but i am right i think
online note taking is weird please help
Answer:
25% off the entire purchase is better and will save you money over the 40% off
Step-by-step explanation:
What is the equation of the line in slope intercept form that has a slope of 1/2 and passes through (2,3)
Answer:
y = 1/2x + 2
*view the attached graph to double check the answer*
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
y = mx + b
y = 1/2x + b
(2, 3) ==> substitute the numbers into the equation
y = 1/2x + b
3 = 1/2(2) + b
3 = 1 + b
-1 -1
2 = b
Our final equation: y = 1/2x + 2
Check your answer using (2, 3):
y = 1/2x + 2
3 = 1/2(2) + 2
3 = 1 + 2
3 = 3
This statement is correct
Hope this helps!
Are multiplication and division of unit fractions related? Describe the relationship you see.
note: PLEASE MAKE ANSWER LONG BC IT CANT BE SHORT
Answer:Multiplication and division both need to have a common denominator or else you would get an incorrect answer. Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators."
Hii
Yes! They are indeed related. When dividing fractions, we need multiplication. Say, for example. We need to multiply the reciprocal of the second fraction to the first. So. If we needed to answer a question like "2/4 divided by 1/2" We would need to find a common denominator. We find common denominators by multiplication. We can do this 2 ways. See below.
For one, we could multiply 2 and 4 to get 8.For two, we could see what 2 and 4 both multiply by. In this case 8.
Then we would need to divide 2 and 1.
1 can go into 2 twice. 1+1 is 2.Then we multipy to find our denominator (this is a example of using multiplication with divison). 2x4 is 8. So the fraction would be 2/8.Simplify.
Find the GCD (or HCF) of numerator and denominator GCD of 2 and 8 is 2Divide both the numerator and denominator by the GCD 2 ÷ 2 / 8 ÷ 2Reduced fraction: 1 / 4 Therefore, 2/8 simplified to lowest terms is 1/4.
Simplified you'd get 1/4.
(tip, once the numerator hits 1, you can no longer simplify)
Hope this helps!
Please give brainliest.
Please help someone!
Taylor has a bag containing 15 counters. The table below shows the number of counters of each color in the bag. As a part of a probability experiment for science club, Taylor randomly picks a counter from the bag then replaces it. She repeats this 300 times.
Part A
Taylor randomly picks a counter out of the bag. What is the probability that it will be red?
Show your work and explain your answer.
Part B
Predict the number of times out of 300 Taylor will pick a red counter.
Answer:
part a. she has an 8 out of the 15 counters chance at getting red. part b. she has a chance of 262 times out of the 300 to get red
Step-by-step explanation:
i hope this helps and i'm sorry if it's wrong have a lovely day
The probability that it will be red is 8/15.
The number of times out of 300 Taylor will pick a red counter is 160.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
Taylor has a bag containing 15 counters.
First, the probability that it will be red
= 8/15
Now, if she repeats 300 times then
= 8/15 x 300
= 8 x 20
= 160
Learn more about Probability here:
https://brainly.com/question/30034780
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A net of a square pyramid is shown below. 5.95 cm 5.1 cm What is the surface area, in square centimeters, of the pyramid.
Answer:
86.7
Step-by-step explanation:
L x W = 5.1 x 5.1 = 26.01
B x H ÷ 2 = 5.1 x 5.95÷2 = 15.1725
15.1725 x 4 = 60.69
60.69 + 26.01 = 86.7
The surface area of the square pyramid is 92 square centimeters.
The given figure is a square pyramid.
We have to find the surface area.
Surface area = a² + 2a√(a²/4 + h²)
a is 5.1 cm and h is height which is 5.95 cm.
Surface area = 5.1² + 2(5.1)√(5.1²/4 + 5.95²)
=26.01 + 10.2 √(26.01 /4 +35.4025)
=26.01+10.2 √6.5025+35.4025
=26.01+10.2√41.905
=92 square centimeters.
To learn more on Three dimensional figure click:
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What is the solution set of the inequality below?
A .y greater than negative 33
B. y less than 33
C. y less than negative 33
D .y greater than 33
Your answer is C
Step-by-step explanation:
Multiply -33 x 11
helppp ive tried this 800 times i swearr
Answer:
10%
Step-by-step explanation:
The prediction is 10%
The simulation is 1 out of 5.
1 out of 5 = 1/5 = 0.2 = 20%
The difference between 10% and 20% is 10%.
The difference between the simulation and the prediction is 10%.
Answer:
10%
Step-by-step explanation:
Add. Write your answer in simplest form.
5 3/4+ 2 11/12
I will mark you Brainliest for fastest answers.
(Please use your own words, and no links to answers please!)
Answer :D
8 [tex]\frac{2}{3}[/tex] (8 2/3)
Question explanation:
5 [tex]\frac{3}{4}[/tex] + 2 [tex]\frac{11}{12}[/tex] = [tex]\frac{26}{3}[/tex] = 8 [tex]\frac{2}{3}[/tex]
(5 3/4) + (2 11/12) = (26/3) = (8 2/3)
(5 + 2) + ( [tex]\frac{3}{4}[/tex] + [tex]\frac{11}{12}[/tex] )
(5 + 2) + (3/4 + 11/12)
7 + 3 x 3 + [tex]\frac{11}{12}[/tex]
(4 x 3) (11/12)
7 + [tex]\frac{9}{12}[/tex] + [tex]\frac{11}{12}[/tex]
(9/12) + (11/12)
7 + 9 + 11
(12)
7 + [tex]\frac{20}{12}[/tex]
(7 + 20/12)
7 + (20 ÷ 4)
(12 ÷ 4)
7 + [tex]\frac{5}{3}[/tex]
(5/3)
7 + 1 [tex]\frac{2}{3}[/tex]
( 1 2/3)
= 8 [tex]\frac{2}{3}[/tex]
(8 2/3)
Simplify:8 [tex]\frac{2}{3}[/tex] = [tex]\frac{26}{3}[/tex] = 8 [tex]\frac{2}{3}[/tex]
(8 2/3) (26/3) (8 2/3)
I hope this finds you well - Answered by Lilo
Felix and Julyssa are computing 3 + 4 x 4. Feliz says the answer is 28. Julyssa says the answer is 19. Who is right? Explain.
Answer: Julyssa is right
Step-by-step explanation: According to PEMDAS, multiplication goes first (before) addition so
3 + (4x4)
3 + 16
= 19
PEMDAS
PARENTHESES
EXPONENTS
MULTIPLICATION
DIVISION
ADDITION
SUBTRACTION
Can someone please help me.
Answer:
Radius= 8.99 mm (9 mm)
Step-by-step explanation:
We use the formula for the volume of a cone which is
1/3 pi ×(radius)^2 *height
932.58 = (pi) × (11) ×(r^2/3)
Radius^2 = (932.58×3) / (11pi)
= 80.96m
Radius= 8.99mm
Answer:
volume= 1/3πr²h
932.58=1/3×3.14×r²×11
3×932.58=34.54×r² ×3
3
2,797.74 = 34.54×r²
34.54. 34.54
√r²= √81
r=9mm
interpreting negative number part 1
Roger gets $40 per day as wages and $4.50 as commission for every pair of shoes he sells in a day. His daily earnings goal is $112.
Write an equation to determine how many pairs of shoes, p, Roger must sell in a day to meet his daily earnings goal.
Find the number of pairs of shoes he must sell to meet his daily earnings goal.
Step-by-step explanation:
Equation to determine how many pairs of shoes :- S = 40 + 4.5x
Where,
S is Earnings
x is Shoe
⇒ 112 = 40 + 4.5x
⇒ 40 + 4.5x = 112
⇒ 4.5x = 112 - 40
⇒ 4.5x = 72
⇒ 4.5x/4.5 = 72/4.5
⇒ x = 16
[tex]\therefore [/tex] Roger must sell 16 shoes per day to meet his daily earning goal
i need help on this i dont know how to do this
Answer:
D.4.375
Step-by-step explanation:
this is the answer
The volume of this cone is 1,017.36 cubic inches. The radius is 9 inches. What is the height of this cone?
Answer:
12
Step-by-step explanation:
Find the value of a and b so that f(x)=(x-5)(a㏒ₓ3-b)
Answer: :-p(x) = x⁴ - ax³ -3x² + 2x + bWe have to find the values of "a" and "b"Given :-(x+1) and (x-1)
ILL GIVE BRAINLIEST TO THE CORRECT ANSER BUT ANSWER ASAP
Answer:
625 is the answer
Step-by-step explanation:
I'll give brainliest
What is the volume of this object? Enter answer as a mixed number.
__u^3
what is ten to the power of three times ten to the power of four divided by ten to the power of five?
Answer:
The answer would be 100
I have done this around a month ago and got it right at my school
Find the circumference of the circle. Use 3.14 or for . Round to the nearest tenth if necessary.
a helicopter pad with a diameter of 192 yards
Answer:
The circumference is equal to 602.88
Step-by-step explanation:
What is the area of the figure below?
40[tex]mm^{2}[/tex]
88[tex]mm^{2}[/tex]
80[tex]mm^{2}[/tex]
96[tex]mm^{2}[/tex]
Answer:
88mm^2
Sorry for not answering it early I know this answer is probably useless for you now
Step-by-step explanation:
Ok, suppose we were to divide this figure into two parts figure 1 & 2
like this... the picture is goven above
So, we can clearly see that figure 1 is a square as it has equal dimensions
and figure 2 is a rectangle because it should given in ur question but this is the only way to find out the area
So in figure 1 the dimensions are already give that the square is 8mm and on the other hand in figure 2 it is a rectangle, here only length is given - 6mm but width is not given. To find out the width it's simple, since the base of figure 1and2 is 12mm and the base of figure 1 is 8cm we can subtract it to get there rest of the base that is the base of figure 2.
So we get,
Base of figure 2 = Total base - Base of figure 1 = 12mm - 8mm = 4mm
Now since we have the dimensions, we only have to find the area of those two figures and add both areas to get the total are of the whole figure.
Area of figure 1
Area of square = side*side = 8*8 = 64mm^2
Area of figure 2
Area of rectangle = length*breadth = 4*6 = 24mm^2
Total area of the figures
Area of figure 1 + Area of figure 2 = 64mm^2+ 24mm^2 = 88mm^2
explain how the models in questions 4 and 5 are the same
Answer:
Hi!
So, for question 4, when you divide it by two, you can split it horizontally to make it 6 squares instead of 3 rectangles from the model of the 1/3, leaving 2 shaded squares and 4 unshaded squares. And since you're dividing it by 2, you only use 1 of the shaded squares.
For question 5, I made the one-half horizontal instead of vertical so you can easily overlap the 2 models when you multiply them. Similar to question 4, the model becomes 6 squares and the 2 models overlap on one square.
Hope this helps! :)
For each material listed in the table, find the mass for cm3 in grams and kilograms. Then find the weight in pounds.
ill give brainliest
Answer:
0.00003 and 0.03
Step-by-step explanation: