Answers
Answer:
b = 0 and b = 4
Step-by-step explanation:
[tex]\frac{5}{3b^3-2b^2-5}[/tex] = [tex]\frac{2}{b^3-2}[/tex] ( cross- multiply )
2(3b³ - 2b² - 5) = 5(b³ - 2) ← distribute parenthesis on both sides
6b³ - 4b² - 10 = 5b³ - 10 ( subtract 5b³ from both sides )
b³ - 4b² - 10 = - 10 ( add 10 to both sides )
b³ - 4b² = 0 ← factor out b² from each term on the left side
b²(b - 4) = 0
equate each factor to zero and solve for b
b² = 0 ⇒ b = 0
b - 4 = 0 ⇒ b = 4
Related Questions
Susan makes purple paint by mixing red and blue paint in the ratio 2:3
She has 12ml of red and 15ml of blue
What is the maximum amount of purple she can make?
Answers
A _________________ is a numerical measurement describing some characteristic of a population.
Answers
Answer:
parameter
Step-by-step explanation:
HELP ASAP PLS ILL MARK YOU BRAINLIEST
Answers
The origin has moved two to the right and two up. This means there must be (x-2) and a +2 at the end of the equation. The function visibly is a cube root so that all matches function C
Answer:
c is the answer.
Simplify the expression when j = 5 and k = 3
*
1 point
Captionless Image
3
-9/5
41/3
6
Answers
Answer:
1 7
_
8
Step-by-step explanation:
5 x 3 = 15
5 + 3 = 8
=1 7
_
8
f(x)= x - 1. Find the inverse of f(x).
O A. f¹(x) = x
OB. f¹(x) = x + 1
O c. f¹(x) = x − 1
-
O D. f¹(x)=1-x
help please asap
Answers
Step-by-step explanation:
The right answer is d because inverse means power in minus
Menna is traveling in a country that measures its temperature in degrees Celsius. If the high temperature for tomorrow will be 25
∘
C, what is the equivalent temperature in
∘
F?
a. 102.6∘
F
b. 57∘
F
c. 77∘
F
d. 45.9∘
F
Answers
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: Temp = 77° F[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: f = \bigg (c \sdot \cfrac{9}{5} \bigg) + 32[/tex]
[ convert 25° C to °F ]
[tex]\qquad \tt \rightarrow \: \bigg (25 \sdot \cfrac{9}{5} \bigg) + 32[/tex]
[tex]\qquad \tt \rightarrow \: (5 \sdot9) + 32[/tex]
[tex]\qquad \tt \rightarrow \: 45 + 32[/tex]
[tex]\qquad \tt \rightarrow \: 77 \degree \: \: f[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Answer:
77
Step-by-step explanation:
took the quiz
f(x) = 3x+2
What is f(5)?
Answers
Answer:
the answer will be 17.
Step-by-step explanation:
if, f (x) = 3x + 2
f (5) = 3 × 5 + 2 = 17.
Please mark me as the brainliest
To determine whether a graph of a relation is also a function, Shayla declares that the y-axis is a vertical line and counts the number of times that the graph intersects the y-axis. If the graph has exactly one y-intercept, Shayla concludes that the graph shows a function. In all other cases, she declares that it is not a function.
Is Shayla applying the vertical line test correctly?
No, because the y-axis is a horizontal line.
No, because using the y-axis tests only whether x = 0 is mapped to multiple values.
Yes, because multiple y-intercepts represent multiple x-values being mapped to y = 0.
Yes, because the y-axis represents all vertical lines of the x-values.
Answers
Answer: Choice B
No, because using the y-axis tests only whether x = 0 is mapped to multiple values.
===================================================
Further Explanation:
Shayla stating that the y axis being used to conduct a vertical line test is part of the process. But she needs to move the vertical line around and not have it fixed in place.
If it is possible to have a vertical line (on the y axis or not) pass through more than one point on the curve, then we don't have a function. It is said the curve fails the vertical line test.
Otherwise, the graph passes the vertical line test and we have a function.
1. A comfortable ambient temperature is called room temperature. Approximately,
how hot or cold is it?
A. 20 OC B. 20 OF C. 40 OC D. 40 OF
2. Convert: 5da = _______hr
A. 300 B. 240 C. 120 D. 60
3. Pasig river can discharge a maximum of 56 m3 per second of water. How many
liters per second can it discaharge?
A. 56 B. 560 C. 5 600 D. 56 000
4. A snail moves at a constant rate of 25 cm per minute. At this rate, how many
hours will it take the snail to crawl 75 m?
A. 3 B. 4 C. 5 D. 6
5. The human body can normally endure a temperature of 105 0F but for a short
period of time only, otherwise, there will be permanent damage to the brain and
vital organs. What is the equivalent temperature in 0C?
A. 37 B. 37.5 C. 40.56 D. 45.56
Answers
Answer:
Using the simple mathematical relations and formulas we get the following correct answers.
1. Option A
2. Option C
3. Option D
4. Option C
5. Option D
Step-by-step explanation:
1. The approximate room temperature is 20°C. Option A is correct.
2. 1 day has 24 hrs. 5 days will have 5×24 = 120 hrs. Option C is correct.
3. The discharge is 56m³/sec. 1m³ has 1000L. So the discharge is 56000L/sec. Option D is correct.
4. The speed is 25cm/min or (25×0.01×60)m/hrs. = 15m/hrs. For 75m the snail would take 75/15 = 5hrs. Option C is correct.
5. The relation between °C and °F is (F-32)/1.8. The equivalent temperature is (105-32)/1.8 = 40.56°C. Option D is correct.
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I need help please help me
Answers
Answer:
It's the third one
Step-by-step explanation:
The cube root of 1/1000 is 1/10.
The cube root of c^9 is c^3.
The cube root of d^12 id d^4.
When you are doing to roots of variables, just divide :)
9/3 = 3
12/3 = 4
The graphs of f(x) and g(x) are shown below: graph of function f of x open upward and has its vertex at negative 7, 0. Graph of function g of x opens upward and has its vertex at negative 7, negative 2. If f(x) = (x + 7)2, which of the following is g(x) based on the translation? (5 points) a g(x) = (x + 9)2 b g(x) = (x + 5)2 c g(x) = (x + 7)2 + 2 d g(x) = (x + 7)2 − 2
Answers
The equation of the function is g(x)=(x+7)² -2 , Option D is the correct answer.
What is a Function ?A function is a mathematical statement that defines relation between two variables.
The f(x) = (x+7)²
The equation for g(x) is ?
graph of function f of x open upward and has its vertex at (-7,0).
Graph of function g of x opens upward and has its vertex at (-7,2).
g(x) is formed by the translation of the function f(x) such that it's vertex is (-7,-2)
Therefore the equation of the function is
g(x)=(x+7)² -2
Therefore , the translation is a shift of the function f(x) 2 units down
Option D is the correct answer.
To know more about Function
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Can someone help me please?
Answers
Answer:
B. <TSN and <ISW
C. <KSW and <NST
Answer:
D. ∠ISN and ∠TSW
Step-by-step explanation:
The meaning of vertical angles is each of the pairs of opposite angles made by two intersecting lines.
The angles ∠ISN and ∠TSW are made by two intersecting lines. This means that these angles are vertical angles.
Hope this helps!
If not, I am sorry.
Solve the equation 4 sin x - cosec x =cot x for 0° < x < 360°.
Answers
For this question, I will be writing 'csc' instead of 'cosec'
[tex]4\sin x-\csc x=\cot x\\\\4\sin x-\frac{1}{\sin x}=\frac{\cos x}{\sin x}\\\\4\sin^{2} x-1=\cos x\\\\4(1-\cos^{2} x)-1=\cos x\\\\4-4\cos^{2} x-1-\cos x=0\\\\4\cos^{2} x+\cos x-3=0\\\\ (4\cos x-3)(\cos x+1)=0\\\\\cos x=\frac{3}{4}, 1\\\\\therefore \boxed{\cos^{-1} \left(\frac{3}{4} \right), 180^{\circ}, 360^{\circ}-\cos^{-1} \left(\frac{3}{4} \right)}[/tex]
Pls help 25 points!!
diane started a hike with 24 ounces of water in her backpack. what fraction of a gallon of water did she start the hike with? show your work.
Answers
Your question was incomplete. Please check below the full content.
There are 8 ounces in 1 cup and 16 cups in 1 gallon.
(a) Diane brought 4.5 gallons of water to a campout. How many ounces of water did she bring? Show your work.
(b) Diane started a hike with 24 ounces of water in her backpack. What fraction of a gallon of water did she start the hike with? Show your work.
a) 576 ounces of water Diane brought.
b) 3/16 of a gallon of water did she start the hike with.
The cost price per ounce is the amount of money needed to buy one ounce of goods.To find cost price per ounce, divide the total of cost of the goods by total number of goods.Given that there are 8 ounces in 1 cup and 16 cups in 1 gallon.
a) Amount of water diana brought for campout = 4.5 gallons Ounce of water she brought = 4.5×16×8
= 576ounces
b) Diane started a hike with 24 ounces of water in her backpack.
The fraction of gallons in 24 ounces is calculated as follows:
The fraction of gallons in 24 ounces = 24 / (8×16)
= 3/16
Hence, a) 576 ounces of water Diane brought.
b) 3/16 of a gallon of water did she start the hike with.
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Help please giving Brianlest
Answers
Answer:
Maybe the answer will be C. P ( A and B )
explanation:
I think it is OPTION C , P(A and B)
as this is the only option which has the value of 80, which we got from the table...
There are boys and girls in a class in the ratio 1: 12 there are 77 more girls than boys. how many boys are there?
Answers
Let's set up some variables:
b: # of boysg: # of girlsLet's set up some equations based on the informative given:
boys to girls ratio ⇒ 1: 12(Mathematical form) g = 12b
77 more girls than boys(Mathematical form) g = b + 77
Let's put the equation together:
g = 12b -- equation 1
g = b + 77 -- equation 2
(equation 2)'s value of g into (equation 1)
12b = b + 77
11b = 77
b = 7
There are 7 boys.
Answer: 7 boys
Hope that helps!
#LearnwithBrainly
PLEASE HELP (PRE-ALGEBRA) MULTIPLE CHOICE! WILL GIVE BRAINLEIST! (photo attached!)
If the triangle on the grid below is translated by using the rule (x,y) → (x−2.y+2), what will be the coordinates of A'?
(4,0)
(0,4)
(0,0)
(-2.2)
Answers
Answer:
(-4, 0)
Step-by-step explanation:
x-2 means ur gonna take coordinate A and move it back 2 places along the x axis, (-4,-2) and then y+2 means ur gonna go up to places alomg the y axis which brings coordinate A' to (-4,0)
Answer:
A'(-4, 0)
Step-by-step explanation:
(x, y) → (x - 2, y + 2)
A(-2,-2 )→ A'(-2-2,-2+2)
= A'(-4,0)
what is the value of each of these prefix expressions? * 3 3↑3 3 3 5
Answers
Answer:
big bodie built
Step-by-step explanation:
i used to be dusty
Based on the calculations, the value of the given prefix expression is equal to 2205.
What is preorder traversal?The preorder traversal of a tree (T) are typically used in discrete mathematics to determine the value of a prefix expression on a specific expression tree.
For the preorder traversal of this tree (T), we would start from the right most expression:
Prefix expression = * + 3 + 3 ↑ 3 + 3 3 3
Prefix expression = * + 3 + 3 ↑ 3 6 3
Prefix expression = * + 3 + 3 3⁶ 3
Prefix expression = * + 3 3 729 3
Prefix expression = * + 3 732 3
Prefix expression = * 735 3 ⇒ 735 × 3
Value = 2205.
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Complete Question:
Given the following prefix expression:
* + 3 + 3 ↑ 3 + 3 3 3
What is the value of the prefix expression?
Determine whether each set of ordered pairs shown below is from a geometric sequence or from an arithmetic sequence.
{(-3, 7.5) , (-2, 10) , (-1, 12.5)}
Write the equation of the graph for the set of ordered pairs.
{(1, 150) , (2, 112.5) , (3, 84.375)}
Write the equation of the graph for the set of ordered pairs.
Answers
Using sequences concepts, it is found that:
The set of ordered pairs {(-3, 7.5) , (-2, 10) , (-1, 12.5)} is an arithmetic sequence with equation a(n) = 15 + 2.5d.The set of ordered pairs {(1, 150) , (2, 112.5) , (3, 84.375)} is a geometric sequence with [tex]a_n = 150(0.75)^{n-1}[/tex].What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a(n) = a(0) + nd[/tex]
The sequence {(-3, 7.5) , (-2, 10) , (-1, 12.5)} continues with points (0, 15), (1, 17.5), and so on, hence the first term and the common ratio are given, respectively, by:
a(0) = 15, d = 2.5.
Hence the equation is:
a(n) = 15 + 2.5n.
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
For the sequence {(1, 150) , (2, 112.5) , (3, 84.375)}, the first term and the common ratio are given, respectively, by:
[tex]a_1 = 150, q = \frac{112.5}{150} = \frac{84.375}{112.5} = 0.75[/tex]
Hence the equation is given by:
[tex]a_n = 150(0.75)^{n-1}[/tex]
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Question 11 of 20
What is the solution to the equation below? (Round your answer to two
decimal places.)
log₂ x = 5.6
Answers
Step-by-step explanation:
log2(x) = 5.6
so,
x = 2^5.6 ≈ 48.50293013... ≈ 48.50
What is the circumference of the circle shown below? (Round your answer to the nearest tenth.) A. 33.0 B. 66.0 C. 346.4 D. 206.2
Answers
Answer:
B. 66.0
Step-by-step explanation:
The formula for circumference is 2*π*r where r is the radius. MS and MR are both radii, so we can plug in 10.5 to the formula to get 2* π*10.5, which would be about 65.97, which rounds to 66.0. Hope this helps!
Someone please help with this !!!
Answers
Answer:
[tex]\dfrac 5{13}[/tex]
Step-by-step explanation:
[tex]\sin \theta =\dfrac{\text{Perpendicular}}{\text{Hypotenuse}} = \dfrac{5}{\sqrt{5^2 +12^2}} = \dfrac 5{\sqrt{169}} = \dfrac 5{13}[/tex]
Find the gradient of the line segment joining of
(1, 1) and (3, 5)
Answers
Answer:
2
Step-by-step explanation:
[tex]\text{First I'd recommend using this little equation:}\\\text{m}=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{Substitute the values::}\\\text{m}=\dfrac{5-1}{3-1} \\\text{m}=\dfrac{4}{3}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\text{The gradient is:: }\dfrac{4}{3}[/tex]
Plss help get brainiest if right!!
i have 25 coins. some of them are dimes, and some of them are
quarters. in total, i have $5.20. how many dimes and how many
quarters do i have?
Answers
Answer:
18 quarters7 dimesStep-by-step explanation:
The given relations can be used to write two equations describing the coins. One equation can express the total number of coins; the other, their total value.
__
setupLet d and q represent the numbers of dimes and quarters, respectively. The the total number of coins is ...
d + q = 25
and their total value is ...
0.10d +0.25q = 5.20
solutionUsing the first equation to write an expression for d, we can substitute that into the second equation.
d = 25 -q
0.10(25 -q) +0.25q = 5.20
0.15q = 2.70 . . . . . . . . . collect terms, subtract 2.50
q = 18 . . . . . . . . . . . divide by 0.15
d = 25 -q = 7
You have 18 quarters and 7 dimes.
_____
Additional comment
It is generally convenient to solve for the number of the higher-value coin. That way, the numbers in the equations stay positive, tending to reduce errors.
Using the basic identities, find the value of cosΘ if cotΘ = -12/5.
Answers
Step-by-step explanation:
please mark me as brainlest
(6, -5) reflected aross the y axis
Answers
Answer:
Then the new point is (-6,-5)
Step-by-step explanation:
Can you help find m<1
Answers
Answer:
69 degrees
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
<1 = 39+ 30
<1 = 69
The members of a golf team contributed a total of $14.30 for a party to be held after their practice. Each member contributed the same amount of money in dimes only. How many members are in the team and how much money did everyone contribute? Give all possible answers. I NEED FULL ANSWER!!!!!!!!!!!!!!!!!!
Answers
Answer:
each teammate contributed 1.43 sorry but i do not know how many members they have because my head hurts
A company makes 130 bags.
28 of the bags have buttons but no zips.
33 of the bags have zips but no buttons.
49 of the bags have neither zips nor buttons.
How many bags have zips on them?
Please answer in fraction form
Answers
Answer:
33 bags or 33/110 (which can be expressed as about 30%)
Step-by-step explanation:
BUTTONS ZIPS
28 Y N
33 N Y
49 N N
The only bags with zips is the second group of 33 bags. There are 110 bags in total, so the fraction would be (33/110)
Given that x is an even number, express, in terms of x, the product of the next two odd numbers.
Answers
Answer:
Odd is the answer.
Step-by-step explanation:
An even number can be written in the form 2x, where x is an integer.
An odd number can be written in the form 2x + 1, where x is an integer.
So two odd numbers can be represented by 2a +1 and 2b +1, the product would be:
(2a + 1)(2b +1) = 4ab + 2a + 2b + 1 = which can be written as 2(2ab + a +b) + 1, but 2ab +a + b represents some integer, so 2ab + a + b = x.
So (2a + 1)(2b + 1) = 2(2ab + a + b ) + 1 = 2x +1 which is odd.
