Answers
Answer:
[tex]x = \frac{ - 3b}{4} \: or \: b[/tex]
Step-by-step explanation:
[tex] \frac{1}{b + x} = \frac{3b}{2 {x}^{2} } - \frac{1}{x} [/tex]
[tex] = > \frac{1}{b + x} = \frac{3b - 2x}{2 {x}^{2} } [/tex]
[tex] = > 2 {x}^{2} = (b + x)(3b - 2x)[/tex]
[tex] = > 2 {x}^{2} = 3 {b}^{2} - 2bx + 3bx - 2 {x}^{2} [/tex]
[tex] = > 2 {b}^{2} = 3 {b}^{2} + bx - 2 {x}^{2} [/tex]
[tex] = > 3 {b}^{2} + bx - 4 {x}^{2} = 0[/tex]
[tex] = > 3 {b}^{2} + 4bx - 3bx - 4 {x}^{2} = 0[/tex]
[tex] = > b(3b + 4x) - x(3b + 4x) = 0[/tex]
[tex] = > (3b + 4x)(b - x) = 0[/tex]
Hence,
[tex]x = \frac{ - 3b}{4} \: or \: b[/tex]
Related Questions
The answer is 33 but I don’t how to show the work so can someone help me pls :/
Answers
Answer:
Gather your like terms together
Step-by-step explanation:
(x+4x+x) = 6x
(-10-10+2) = -18
6x -18 = 180 (the sum of triangle angles)
Add 18 to both sides
6x = 198
divide 198 by 6
x = 33
A family is driving 550 miles to their grandmother's house. They have already driven 350 miles. Which equation shows the rate r, in miles per hour the family must drive to reach their grandmother's house in 4 hours
Answers
Answer:
50 mph
Step-by-step explanation:
drive to reach their grandmother's house in 4 hours
Given that:
Miles driven = 550 miles
Miles already driven = 350 miles
Miles left to drive = (550 - 350) miles = 200 miles
To reach destination in 4 hours
Speed in miles per hour will be :
Distance / time
= 200 miles / 4 hours
= 50 miles / hour
Answer:
50 mph
Step-by-step explanation:
julieta rocio a nieva
The students at Southern Junior High School are divided into four homerooms. Benjamin just moved into the school district and will be randomly assigned to one homeroom.
Which methods can be used to simulate this situation? Select three options..
Flip a coin 4 times, once for each homeroom, with heads up representing being assigned to the homeroom represented by that flip.
Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.
Use a random number generator with 1, 2, and 12 representing the first homeroom, 7, 9, and 10 representing the second homeroom, 3, 8, and 11 representing the third homeroom, and 4, 5, and 6 representing the fourth homeroom.
Roll a number cube with 1 representing the first homeroom, 2 representing the second homeroom, 3 representing the third homeroom, and any other outcome representing the fourth homeroom.
Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.
will give 100 points for answer it'd better be correct though
Answers
Answer:
Step-by-step explanation:
Roll a number cube with 1 representing the first homeroom, 2 representing the second homeroom, 3 representing the third homeroom, and any other outcome representing the fourth homeroom.
Flip a coin 4 times, once for each homeroom, with heads up representing being assigned to the homeroom represented by that flip.
Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.
Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.
Answer:
B. Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.
C. Use a random number generator with 1, 2, and 12 representing the first homeroom, 7, 9, and 10 representing the second homeroom, 3, 8, and 11 representing the third homeroom, and 4, 5, and 6 representing the fourth homeroom.
E. Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.
Step-by-step explanation:
I just did the test and got this correct.
(please mark brainliest)
Have a good day!
swear last one for today :))
Answers
Find the number that belongs in the green box.
Round your answer to the nearest tenth.
Answers
I think answer is the 10.
Translate the sentence into an inequality.
Twice the difference of a number and3 is at most 16.
Use the variable for the unknown number.
Answers
3/4 divided by 2 1/2 help me please
Answers
Answer:
1 7/8 or 15/8
Step-by-step explanation:
Keep change flip
Plz help me I really need help
Answers
Answer:
it 2 parts away
Step-by-step explanation:
Answer:
(0,0) (20, 10) (40,10) (60,40) (100,0)
A B C D E
Step-by-step explanation:
What is 5(pi) /6 radians converted to degrees? If necessary, round your answer to the nearest degree
ANSWER IS 150 DEGREES
Answers
Answer:
C
Step-by-step explanation:
By converting radians 5π /6 into a degree, we get the nearest degree 150.
How to convert radians into a degree?
We can convert radians into a degree by using the formula
Degree = Radians x (180°) / π
To 5π /6 convert radians into a degree,
Degree = Radians x (180°) / π
Degree = 5π /6 x (180°) / π
= 5 /6 x (180°)
= 150°
Learn more about Degree;
https://brainly.com/question/364572
Part C Whose puppy weighed the most when the person got it? How much did it weigh?
Answers
Answer:
Olivia's puppy, it weighed 5 pounds.
Step-by-step explanation:
Answer:
Olivia's puppy and the amount of pounds the puppy gained is 5 pounds
Step-by-step explanation:
Mickey and Marianna are 15 miles apart on a bike path when they start biking toward each other. Mickey rides at a constant speed of 4 miles per hour, and Marianna rides at a constant speed of 2 miles per hour. How long does it take until Mickey and Marianna meet?
Answers
15 plus 4 times 2Step-by-step explanation:
38
Answer:
2.5 hrs
Step-by-step explanation:
4x2.5=10
2x2.5=5
10+5=15
:)
I wanna be in a gc someone add me to one
Sc-maddison_camp20
Ig- mads_070
Answers
3(1−9a)+22a=2(2a−9)−15
i need a step by step explanation
Answers
Step-by-step explanation:
3(1-9a)+22a=2(2a-9)-15
3-27a+22a=4a-18-15
-27a+22a-4a=-18-15-3
-a=-36
a=36
Answer:
A= 4
Step-by-step explanation:
3(1-9a)+22a=2(2a-9)-15
3-27a+22a=2(2a-9)-15
3-5a=2(2a-9)-15
3-5a=4a-33
3-5a-3=4a-33-3
-5a=4a-36
-5a-4a=4a-36-4a
-9a=-36
-9a/-9 = -36/-9
A=4
I need help ASAP please
don't troll
with work
Answers
Answer:
[tex]y = 50x[/tex]
Step-by-step explanation:
Let's start off by trying to find the slope/gradient (commonly denoted as [tex]m[/tex]) of this function
[tex]m = \frac{\Delta y}{\Delta x}[/tex]
This means we divide the change in y over the change in x
Let's pick, for example, x = 3 (who's corresponding y is 150) and x = 4 (who's corresponding y is 200)
[tex]m = \frac{200 - 150}{4 - 3}\\\\m = 50[/tex]
Now we have this:
[tex]y = 50x+b[/tex]
Let's plug in a random value of x and y from this function in order to find b. I'll pick x = 2:
[tex]100 = 50\cdot 2 + b\\100 = 100 + b\\b = 0[/tex]
Since b is 0, we don't have to write it on our equation, meaning that our final equation is just
[tex]y = 50x[/tex]
To verify this, let's say we didn't know the value of y when x is equal to 4 and all we had was that equation:
[tex]y = 50\cdot 4\\y = 200[/tex]
Just like it is on the graph :)
Good luck!
PLEASE HELP! I HAVE A TIME LIMIT AND IM BEHIND
When a transversal intersects a
pair of parallel lines it will create
two pairs of alternate exterior
angles.
Ricky claims the angles within
each pair are congruent to each
other, but not congruent to
either angle in the other pair.
Answers
Answer:
Part A none
Part B drawn
Step-by-step explanation:
Suppose the transversal intersects a pair of parallel lines it creates two pairs of alternate exterior angles.
Now if we look at the first figure we find that the alternate exterior angle 1 and 4 are equal . Also 3 and 2 are equal.
But <1 and < 2 are not equal . They are supplementary angles. Their sum is equal to 180 degrees.
Similarly angles 3 and4 are supplementary angles.
This situation does not support Ricky's claim. So you will select none in part A.
Now in part B we see that angle 5 &8 are equal and 6 & 7 are congruent.
This refutes Ricky's claims and this can be proved mathematically.
Angles 5 & 6 are supplementary angles. Similarly 7 & 8 are supplementary therefore they cannot be equal as they are unequal and a transversal is drawn not a perpendicular.
The part A none and for part B drawn.
Suppose the transversal intersects a pair of parallel lines it creates two pairs of alternate exterior angles.
Now if we look at the first figure we find that the alternate exterior angle 1 and 4 are equal . Also 3 and 2 are equal.
What is the meaning of the supplementary angle?
Two angles are called supplementary when their measures add up to 180 degrees.
But <1 and < 2 are not equal because they are supplementary angles. and the sum is equal to 180 degrees.
Similarly angles 3 and 4 are supplementary angles.
This situation is not support Ricky's claim so select none in part A.
Now for part B we see that angle 5 &8 are equal and 6 & 7 are congruent.
This refutes Ricky's claims and this can be proved mathematically.
Angles 5 & 6 are supplementary angles. Similarly 7 & 8 are supplementary
Therefore they cannot be equal as they are unequal and a transversal is drawn not a perpendicular.
Therefore for the part A none and for part B drawn.
To learn more about the transversal visit:
https://brainly.com/question/24607467
look at the cups shown below (images are not drawn to scale). how many more cubic inches of juice will cup B hold than cup A when both are completely full? round your answer to the nearest tenth.
Answers
Answer:
18.8 cubic inches
Step-by-step explanation:
✔️Amount of juice Cup B will hold than Cup A = Volume of cup B - volume of cup A
✔️Volume of Cup B = Volume of cylinder = πr²h
radius (r) = ½ of 2 = 1 in.
height (h) = 7 in.
Volume of cup B = π*1²*7 = 21.99 in.³
✔️Volume of Cup A = Volume of cone = ⅓πr²h
radius (r) = ½ of 2 = 1 in.
height (h) = 3 in.
Volume of cup B = ⅓*π*1²*3 = 3.14 in.³
✔️Amount of juice Cup B will hold than Cup A = 21.99 in.³ - 3.14 in.³ = 18.8 in.³ (nearest tenth)
Answer:
18.8 cubic inches
Step-by-step explanation:
the first person has it right
Which situation could be represented by 5x > 15? Jakiera makes $5 per hour working at her father's repair shop. She needs to make more than $15 to buy the calendar that she wants for next year. How many hours can she work to achieve this goal? Thomas brought 5 cans for the campus food drive. How many more cans does he need to have at least 15 cans for the food drive? Clarice collects comic books. Her brother, Samuel, has 15 comic books. How many comic books does Clarice need to have more comics than Samuel? Elizabeth is five times older than her grandchild, who is 15. How old is Elizabeth?
Answers
Answer:
First situation
More than 3 hours
At least 10
15
75
Step-by-step explanation:
Let x be the number of hours
The equation will be
[tex]5x>15\\\Rightarrow x>\dfrac{15}{5}\\\Rightarrow x>3[/tex]
So, she needs to work more than 3 hours in order to make more than $15.
The situation that represents [tex]5x>15[/tex] is the first one.
Let x be the additional number of cans
The inequality will be
[tex]x+5\geq15\\\Rightarrow x\geq 15-5\\\Rightarrow x\geq 10[/tex]
So, the additional number of cans to be bought is at least 10.
Let x be the number of comic books Clarice has.
[tex]x>15[/tex]
So, Clarice needs to have more than 15 comic books.
Let x be age of Elizabeth
The equation will be
[tex]x=5\times 15\\\Rightarrow x=75[/tex]
So, Elizabeth is 75 years old.
pls help me answering this question
Answers
Answer:
tell me the question.....
If you are wondering where I got 90 from, well angle CEB is a right angle so that’s 90.
If you are wondering where I got 180 from, well a triangle adds up to 180.
Sorry, this is all I know but I hope some of this helped, have a good day, and good luck finding out the other 2 angles.
9.8(3x - 7.2) please help!!!
Answers
Answer:
29.4x-70.56
Step-by-step explanation:
What is w²+2xy if x= - 3, w= - 2, and y=1?
Answers
(-2)^2+2(-3)(1)
then do your exponents:
-2 times -2 = 4
4+2(-3)(1)
multiply and add:
4+-6
answer:
-2
Answer:
-10
Step-by-step explanation:
w2 is -2x-2
2xy is getting times together -3x1
Can you help me with this please
Answers
Answer:
Hypothesis: If I am at least 16 years and 6 months old
Conclusion: Then I am able to get a provisional license
I hope this helps!
Please I need some answers
Answers
Answer:
He needs 3 packs of hot dogs and 2 packs of hot dog buns. He has 4 hot dogs and 4 hot dog buns left over.
Step-by-step explanation:
Because 8 x 3 = 24 and 12 x 2 = 24
But since he needs enough for 20 people he would have 4 hot dogs and 4 hot dog buns leftover.
Six less than the product of 8 and a number is 7?
Answers
Step-by-step explanation:
Let x represent the number.
We have 8x - 6 = 7.
Therefore 8x = 13 and x = 1.625.
If 3x−y=12, what is the value of
8x.2y? Explain.
A) 212
B) 44
C) 82
D) The value cannot be determined from the information given.
Answers
Answer:
A
Step-by-step explanation:
use the equation x=4+y/3 to find out.
8x + 2y = 24
2y = -8x + 24
y = -4x + 12.....so the slope is -4, and the y int is 12 or (0,12)
to find the x int, sub in 0 for y and solve for x....in either the original equation or the slope intercept equation
8x + 2y = 24
8x + 2(0) = 24
8x = 24
x = 24/8
x = 3.....so the x int is 3 or (3,0)
now plot ur intercepts (3,0) and (0,12)......now start at ur y int (0,12)...and since ur slope is -4, u come down 4 spaces, then to the right 1 space, then down 4, and to the right 1...keep doing this and u should cross the x axis at (3,0)
Answer:
Step-by-step explanation:
A)212
a school population of 1200 increases by 6% per year what will the population be after 4 years
Answers
Answer:
Step-by-step explanation:
1200x6%(.06)=72
72x4=288
1200+288=1488
1200+72=1272+72=1344+72=1416+72=1488
3075677532 yesyeysyeydsyeysys
Answers
Answer: What? What are you talking about?
In comparison to 2/3 where would 4/6 on number line
Answers
The fraction numbers 2/3 and 4/6 will lie on the same point on the number line.
What is a number line?A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The fraction numbers are given below.
2/3 and 4/6
Convert the fraction into the simplest fraction, then we have
4 / 6 = 2 / 3
The fraction numbers 2/3 and 4/6 will lie on the same point on the number line.
More about the number line link is given below.
https://brainly.com/question/13189025
#SPJ5
Write the equation of the line in Slope Intercept Form; it is currently in Standard Form.
Do not leave ANY spaces in your answer. Example: y=8/3x+7
4x - 3y = 12
Answers
HELP PLEASE ASAP
I JUST NEED THIS OR IMA FAIL PLS
Answers
Answer:
2
Step-by-step explanation:
Answer:Im pretty sure the answer is 1150
Step-by-step explanation:
5) The sides of a quadrilateral are in the ratio 1:2:3:6. The perimeter is 138 cm.
Answers
Answer:
The first side is 11.5cm, the second is 11.5cm×2 = 23cm, the third is 11.5cm × 3 = 34.5cm,
and the fourth side is 11.5cm × 6 = 69cm.
Step-by-step explanation:
A quadrilateral is a 4 sided shape, while perimeter is the addition of all the sides of the quadrilateral. Since the sides of the quadrilateral is not stade, assume the sides of the quadrilateral is x, therefore 1:2:3:6 = x:2x:3x:6x. The total ratio is x+2x+3x+6x=12x, therefore 12x= 138 , x = 11.5cm, Therefore the first side is 11.5cm, the second is 11.5cm×2 = 23cm, the third is 11.5cm × 3 = 34.5cm, and the fourth is 11.5cm × 6 = 69cm.
