Answer:
b/a = 3
Step-by-step explanation:
f(x) / (x²-4x-12) = Q(x) + (x+6)/(x²-4x-12)
f(x) = Q(x)*(x²-4x-12) + (x+6)
x= - 2 ... when f(x) is f(-2) x²-4x-12 = 4+8-12 = 0
a = f(-2) = Q(x)*0 + (-2 + 6) = 4
x= 6 ... when f(x) is f(6) x²-4x-12 = 36-24-12 = 0
b = f(6) = Q(x)*0 + (6 + 6) = 12
b/a = 12/4 = 3
Find the GCF and LCM for 16 and 24.
Greatest Common Factors (GCF) of 16 and 24 = 8
Least Common Multiple of 16 and 24 = 48
GCF means Greatest Common Factors
Factors of 16 = 1, 2, 8, 4, and 16
Factors of 24 = 1, 2, 3, 4, 6, 8, 12, and 24
Common Factors of 16 and 24 = 1, 2, 4, and 8
Greatest Common Factors (GCF) of 16 and 24 = 8
LCM means Least Common Multiples
Multiples of 16 = 16, 32,48, 54.....
Multiples of 24 = 24, 48, 72....
The Least Common Multiple of 16 and 24 = 48
Learn more on GCF and LCM here: https://brainly.com/question/219464
State the postulate or theorem you would use to prove each pair of triangles congruent.
a) SSS
b) SAS
c) ASA
d) AAS
e) HL
f) Not possible
Answer:
f) Not possible
Step-by-step explanation:
The triangles can be shown to be similar by SAS, but the corresponding sides are not marked as congruent. With the given information, it is not possible to show the triangles are congruent.
Please help mee!!! I really need it Thank youu!!! <3
Answer:
k < 3 should do it
Step-by-step explanation:
satellite makes 4 revolutions of the earth in one day. How many revolutions would it make in 6 1/2 days?
find n. (n!)²- 4n! - 12 = 0
Answer:
n=6 , n=-2
Step-by-step explanation:
[tex]n^{2}-4n-12=0[/tex]
Factorise to give:
[tex](n-6)(n+2)[/tex]
Set first one to equal 0:
[tex]n-6=0[/tex]
[tex]n=6[/tex]
Set second one to equal 0:
[tex]n+2=0[/tex]
[tex]n=-2[/tex]
Reason for 2 solutions:
All quadratics can have a maximum of 2 solutions like this one or a minimum of 0.
The solution(s) is the point where the graph crosses the x-axis
The image below shows the graph of the equation:
[tex]n^{2}-4n-12[/tex]
When y=0:
It intercepts the x-axis at 6 and -2 giving why n has 2 solutions
suppose we want to choose 2 colors, without replacement from 3 colors red,bule and green
A cylindrical barrel has a radius of 2.1 ft and a height of 14 ft. Doubling which dimension(s) will double the volume of the barrel?
Answer:
Step-by-step explanation:
r = 2.1 feet
h = 14 feet
V = pi r^2 h
V = 3.14 * 2.1^2 * 14
V = 193.85
Let h = 28 feet
V = pi * r^2 * h
V = 3.14 * 3.2^2 * 28
V = 387.72
If you divide 387.72 by 2 you get 193.86
The difference in the hundreds place comes about because of the rounding that took place.
The answer to your question is you must double the height,
) The price of broccoli is $1.25 per pound. Let y be the total cost in dollars of buying a pounds
of broccoli
.) Which equation represents this situation?
y = 1.252
• Which graph represents the situation?
Broccoli Prices
Broccoli Prices
Broccoli Prices
(4,5)
.
(3.4.5)
15
15
(5.
(3.3.75
(2,3)
(3.75,3)
(2.2.5)
3
5 25
8 2
(2.5.2
1.5 (1.1.25)
(1.1.5)
(0.5, 0.75)
(1.25.1)
0.5
0.5
0 05 1 1.5 2 25 3 3.5 4 US 5
Amount of Broccoli (b)
0 0.5 1 1.5 2 2.5 3 3.5 4 155
Amount of Broccoli (b)
0 05 1 15 2 2.5 3 3.5 5 5
Amount of Broccoli (b)
DONE
Answer:
The graph that represents the situation is A
Step-by-step explanation:
1. Christina says the graph for the inequality r < -5 will be the same as the graph for the inequality -5 > r. Do you agree or disagree? Justify your reasoning. (Explain)
Answer:
Agree
Step-by-step explanation:
Just copy and paste (without quotations): "I agree because r < -5 is just a flipped inequality of -5 > r. In other words, 'r is less than -5' is the same as '-5 is greater than r'."
Which number is a factor of 15 but no a multiple of 3?
Answer: 5
Step-by-step explanation:
solve the inequality 2x+2-6x<32
x>−15/2
15/2 is a fraction
If 23 is added to a number, the result is 41 less than twice the number.
Answer:
x + 23 = 2x - 41
Step-by-step explanation:
I'm not too sure how to explain the correctness of the answer but I know that it's:
x + 23 = 2x - 41
Brainliest for right answer.
Answer:
441 millimeters of compound B
Step-by-step explanation:
4 + 7 = 11
693/11 = 63
7 · 63 = 441
A student writes down four random numbers: -20, 55, 10, -15. A second students adds one number to the set, making the average 11. What number did the second student add to the set?
Answer:
-19
Step-by-step explanation:
-20 + 55 + 10 + -15 = 30
30 - 11 = 19
-19
Y<-3 which is the solution:
A) 5
B) 0
C)-2
D)-5
Y needs to be less than -3 the larger the negative number the further from 0 it is so -5 would be less than -3
Answer: -5
Help help help help math
Answer:
158
Step-by-step explanation:
We know the supplement of angle 6 is 22, due to the fact that they are corresponding angles. Simply subtract 22 from 180 to get the answer. 180-22=158
Answer:
158 degrees
Step-by-step explanation:
Angle 6 has a same side interior relationship with the 22 degrees, so the sum of these angles are equal to 180 degrees.
To find the missing angle, subtract 180 by 22 degrees.
180-22= 158
mr karki divides a sum of Rs 180000 between his son and daughter in the ratio of 4:5 find the sum obtained by each of them
Answer:
Step-by-step explanation:
Sorry no one answered your question sooner. First Let x = what the daughter receives
Then 180000 - x is what the son will receive. Notice that if you add these together you get the total, 180000. You write a proportion and cross multiply to solve. Since x = 80000, the son will receive 80000. The daughter will receive 100000.
A pipe that is 165 feet long is cut into three parts whose lengths are in the ratio 2 : 5 : 8. Find the length of the longest piece. Longest piece: 2 feet
Answer:
88 ft
Step-by-step explanation:
Let's say the shortest piece has length 2x, so the medium piece has length 5x and the longest piece has length 8x. Added together, they equal 165, so
2x + 5x + 8x = 165
15x = 165
divide both sides by 15 to isolate x
x = 11
8x = longest piece = 88 ft
Student council raised $670 earlier this year. Then they held a raffle. In total they raised $1,350. Write an equation an solve for the amount raised at the raffle.
Answer:
1,350-670=R
Step-by-step explanation:
R means Raffle
Drag the tiles to the correct boxes to complete the pairs, In the figure, lines H and KL are parallel. TH K E G D Match each angle relationship with the appropriate reason. Vertical angles theorem Alternate exterior angles theorem linear pair Alternate interior angles theorem Corresponding angles theorem same-side interior angles m_HED = m_FE) mKFE = m_FEJ MZLFG = MADEH
The angle relationship and their reasons are:
m∠HED = m∠FEJ ---> Vertical angles theoremm∠KFE = m∠DEH ---> Alternate interior angles theoremm∠LFG = m∠DEH ---> Alternate exterior angles theoremm∠JEF + m∠LFE = 180° ---> same-side interior angles theoremm∠DEJ = m∠EFL ---> Corresponding interior angles theoremm∠LFG + m∠GFK = 180 ---> linear pairThe angle pairs are formed based on their relative positions. The following shows each angle relationship and their reasons:
∠HED and ∠FEJ are directly vertically opposite each other, therefore, they are equal based on the vertical angles theorem.
m∠HED = m∠FEJ ---> Vertical angles theorem∠KFE and ∠FEJ are alternate interior angles, therefore, they are equal based on the alternate interior angles theorem.
m∠KFE = m∠DEH ---> Alternate interior angles theorem∠LFG and ∠FEJ are alternate exterior angles, therefore, they are equal based on the alternate exterior angles theorem.
m∠LFG = m∠DEH ---> Alternate exterior angles theorem∠JEF and ∠LFE are interior angles on same side of the transversal, therefore, the sum of both angles equal 180 degrees based on the same-side interior angles theorem.
m∠JEF + m∠LFE = 180° ---> same-side interior angles theorem∠DEJ and ∠EFL are corresponding angles, therefore, they are equal based on the corresponding angles theorem.
m∠DEJ = m∠EFL ---> Corresponding interior angles theorem∠LFG and ∠GFK are angles on a straight line, therefore the sum of both angles will equal 180 degrees because they are a linear pair.
m∠LFG + m∠GFK = 180 ---> linear pairLearn more about angle relationship on:
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1
If f(x) = -3x-2, find f(-7)
Answer:
19
Step-by-step explanation:
f(x)= -3x-2
f(-7)= -3(-7)-2
= 21 - 2
= 19
hope this helps! :D
Write 6,070,000 in expanded form.
Answer:
6,000,000 + 0 + 70,000 + 0 + 0 + 0 + 0
bonus : word form: six million seventy thousand
Step-by-step explanation:
hope this helps! have a g'day
A person requests an immediate bank overdraft of $2000. The
bank generously agrees to this but insists that it should be repaid
by 12 monthly instalments and charges 1% interest every month
on the outstanding debt. Determine the monthly repayment
The monthly repayment for the given principal and rate of interest is $168.3.
Given that, a person requests an immediate bank overdraft of $2000.
What is the rate of interest?An interest rate tells you how high the cost of borrowing is, or high the rewards are for saving. So, if you're a borrower, the interest rate is the amount you are charged for borrowing money, shown as a percentage of the total amount of the loan.
Here, P=$2000, T=12 months = 1 year and r=1%
Now, interest = (2000×1×1)/100
= 20
Total amount = 2020
So, monthly instalment = 2020/12
=$168.3
Therefore, the monthly repayment for the given principal and rate of interest is $168.3.
To learn more about the rate of interest visit:
https://brainly.com/question/28236069.
#SPJ5
What is the y-intercept of a line that has a slope of -3 and passes through point (-5, 4)?
О-17
О-11
O-7
O-19
Answer:
0, -11
Step-by-step explanation:
y-4=-3(x-(-5))
y-4=-3x-15
y=-3x-15+4
y=-3x-11 the ordered to the origin is -11
the y-intercept is at the point (0, -11)
Hope this helps
1[tex]\sqrt{5}[/tex]*3[tex]\sqrt{5}[/tex]
Answer:
[tex]1\sqrt5 \times 3\sqrt 5 =(1\times3)(\sqrt5\times\sqrt5) = 3\times (\sqrt5)^2=3\times 5=15[/tex]
I need help with this
Si mi hermano gana 589 pesos diarios si ha trabajado 15 días de este mes ¿cuánto dinero ha ganado?
Mi hermano ha ganado un dinero devengado de 8835 pesos en 15 días.
En esta pregunta debemos determinar el dinero devengado por un período de 15 días a partir de una tasa diaria constante. Esa cantidad es igual al producto de la tasa diaria constante, en pesos por día, y el número de días trabajados, en días:
[tex]x = 589\,\frac{\$}{dia}\times 15\,dias[/tex]
[tex]x = 8835\,\$[/tex]
Mi hermano ha ganado un dinero devengado de 8835 pesos en 15 días.
Para aprender más sobre álgebra y aritmética, invitamos cordialmente a ver esta pregunta: https://brainly.com/question/953809
Find the equation of the line passing through point (-1, -2) and having
slope 1/5. Show work.
Answer:
Y=1/5x+ -2
Step-by-step explanation:
Hope this helps
Jada has a new puppy that weighs 9 lb the vet says that the puppy is now about 20% of its doorway what will the adult weight of the puppy be.
A ant runs 45 inches in 15 seconds, a snail crawls 12 inches in 3 seconds. Who is faster? I need help please and thank you :)
Answer:
the snail
Step-by-step explanation:
in order to find who is faster you have to find how many inches each one does in one sec
Ant= 45/15 which is 3 inches per sec.
snail=12/3 which is 4 inches per sec.
so from the above calculations we can see that according to the question given a snail crawls faster than an ant runs
I hope this helps
