Answer:
Step-by-step explanation:
[tex]\frac{x^{2}+mx+n }{9-x^{2} } /\frac{x^{2} +6x-16}{x^{2} +px+q} = \frac{-x+3}{x+8}[/tex]
Change the division of the two fractions in to multiplication
[tex]\frac{x^{2}+mx+n }{9-x^{2} } * \frac{x^{2} +px+q}{x^{2} +6x-16} = \frac{-x+3}{x+8}[/tex]
Factor what we can
[tex]\frac{x^{2}+mx+n }{(3-x)(3+x)} * \frac{x^{2} +px+q}{(x-2)(x+8)} = \frac{(3-x)}{x+8}[/tex]
Cross multiply and simplify (x+8)/(x+8)
(x² +mx +n) (x² +px +q) = (x -3) (x -3) (x +3)( x -2)
Now we look to see what values for m, n, p, and q will give those factors.
m= 1 n= 2 p= 3 q= 4
(x² +x +2) (x² +3x +4) ≠ (x -3) (x -3) (x +3)( x -2) ❌
m= 1 n= -6 p= -6 q= 9
(x² +x -6) (x² -6x +9) = (x+3)(x-2) (x-3)² ✅
m= -5 n= 6 p= 0 q= -9
(x² -5x +6) (x² -9) = (x-3)(x-2)(x-3)(x+3)✅
m= 7 n= -4 p= 2 q= 0
(x² +7x -4) (x² +2x) ≠ (x-3)(x-2)(x-3)(x+3)❌
m= 3 n= -6 p= 1 q= 7
(x² +3x -6) (x² +x+7) ≠(x-3)(x-2)(x-3)(x+3)❌
m= -6 n= 9 p= 1 q= -6
(x² -6x +9) (x² +x -6) = (x-3)(x-3)(x-2)(x+3)✅
m= 0 n= -9 p= -5 q= 6
(x² -9) (x² -5x +6) ≠(x-3)(x-3)(x+3)(x-2)❌
The radioactive substance uranium-240 has a half-life of 14 hours. The amount
A(t) of a sample of uranium-240 remaining (in grams) after t hours is given by the following exponential function.
At = 3900(1/2) t/14
Find the initial amount in the sample and the amount remaining after 60 hours.
Round your answers to the nearest gram as necessary.
PLEASE HELP ASAP
See analyris
Step-by-step explanation:[tex]Hlug\ in\ the\ value\ of \left.\ t.\right\}[/tex]
[tex]The\ infital\ ampunt\ in\ the\ sample:[/tex]
[tex]t=0_{-1}\ \ \ \ \ f(t)=39\omega\bullet(\frac{1}{2})^\frac{0}{14}[/tex]
[tex]=3900\ g.[/tex]
[tex]Ater\ bo\ busis.[/tex]
[tex]t=6,\ \ \ \ \ A(t)=2900\times(\frac{1}{2})^\frac{60}{14}[/tex]
[tex]=3900\times(\frac{1}{2})^\frac{30}{7}[/tex]
[tex]\approx 209.[/tex]
I hope this helps you
:)
Point W has coordinates (4, -7). If it is reflected over the y -axis, what are the coordinates of its image?
A. (4, 7)
B. (-4, 7)
C. (4, -7)
D. (-4, -7)
Answer:
I thank it is D
Step-by-step explanation:
The following table shows the first segment of a five-year amortization schedule. a 5-year amortization schedule. the amount of interest paid for months 1 through 12 are: 99.03, 97.73, 96.42, 95.10, 93.78, 92.44, 91.09, 89.73, 88.36, 86.98, 85.58, 84.18. after one year of payments, how much has been paid to interest? a. $1,100.42 b. $1,010.16 c. $1,188.34 d. $1,241.18
After one year of payments, the amount need to be paid to interest is $1100.42 if the first segment of a five-year amortization schedule is a 5-year amortization schedule option (a) is correct.
What is a loan amortization schedule?It is defined as the systematic way of representation of loan payments according to the time in which the principal amount and interest mentioned in a list manner.
We have a table given that showing a first segment of a five-year amortization schedule that has a 5-year amortization schedule and the amount of interest paid for months 1 through 12.
As the loan amount is not mentioned in the question, we are assuming the loan amount is $1184.6
Therefore, loan amount = $1184.6
The outstanding amount at the end of one year, which is 12 months, is shown in the table as $84.18
After one year of payments, the amount need to be paid to interest:
= Loan amount - Outstanding amount after 12 months
= 1184.6 - 84.18
= $1100.425
Thus, after one year of payments, the amount need to be paid to interest is $1100.42 if the first segment of a five-year amortization schedule is a 5-year amortization schedule option (a) is correct.
Learn more about the amortization schedule here:
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Find the slope-intercept equation of the line
that passes through (4, -2) and has a slope of
-3.
a
-
Answer:
y = -3x + 10
Step-by-step explanation:
We write The slope-intercept equation of a line D Like this
D : y = mx+b (where m is the slope and p is the y-intercept)
__________________________
According to the given information:
The slope = -3
Then ,the equation of our line is : y = -3x + p
Now we need to find p:
Since The point (4, -2) lie on the line
then
-2 = -3(4) + p
then
-2 = -12 + p
then
p = 12 - 2 = 10
Conclusion:
y = -3x + 10
find x and y if (x-3, -6) and (4, x+y)
Answer:
See below ~
Step-by-step explanation:
Given
(x - 3, 6) = (4, x + y)Equating x coordinates to find the value of x
x - 3 = 4x = 7Equating y coordinates to find the value of y
6 = x + y6 = 7 + yy = -1Compare coordinates
x-3=4x=4+3x=7And
x+y=-6y=-6-xy=-6-7y=-13The circumference of a circle is 9\piπ ft. find its radius, in feet.
Answer:
r = 4.5 ft
Step-by-step explanation:
Circumference of circle = πd
πd = 9π ft
d = 9π ÷ π
d = 9 ft
Radius = d ÷ 2
= 9 ÷ 2
= 4.5 ft
3.) Jacob read 144 pages of his favorite book in 6 hours. What is the average rate the student
reads, in pages per hour?
Answer:
24 pages per hour :)
Step-by-step explanation:
We need to divide to solve :)
144/6 = 24
Have an amazing day!!
Please rate and mark brainliest!!
Which equation can be used to find the measure of angle gfe? cos−1(startfraction 14.5 over 11.9 endfraction) = θ cos−1(startfraction 11.9 over 14.5 endfraction) = θ sin−1(startfraction 11.9 over 14.5 endfraction) = θ sin−1(startfraction 14.5 over 11.9 endfraction) = θ
The equation that can be used to find the measure of angle GFE is given by: Option B: cos−1(11.9/14.5) = θ
What are the six trigonometric ratios?Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.
In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slant side is called hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.
From that angle (suppose its measure is θ),
[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]
The missing information, not present in this question are:
Length of FG = |FG| = 14.5Length of FE = |FE| = 11.9Angle ∠GFE = θSince for the triangle GFE, if we look from the angle ∠GFE, the sides given are hypotenuse FG and the base FE.
Thus, we can use cosine ratio, and then its inverse to find the value of angle θ.
Thus, we get:
[tex]\cos(\theta) = \dfrac{|FE|}{|FG|} = \dfrac{11.9}{14.5} \\\\\theta = \cos^{-1}\left(\dfrac{11.9}{14.5}\right)\\\\[/tex]
Thus, the equation that can be used to find the measure of angle GFE is given by: Option B: cos−1(11.9/14.5) = θ
Learn more about inverse trigonometric functions here:
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Answer:
option B
Step-by-step explanation:
a basketball team torunament has 9 teams. every team will place against another team. how many games will there be
Answer:
72 games in total
Step-by-step explanation:
hope this helps :)
Kim's cell phone plan costs $20.00 per month. She pays $0.10 for each text message. Which equation can be used to find the
monthly cost (C) of Kim's plan with n text messages?
A c= 20.00 +0.10n
Bc=20.00n +0.10
С
c=20.00n + 10
D = 20.00 + 10n
Answer:
the second option
Step-by-step explanation:
Jamari's family has completed 60% of their road trip. If they have completed 90 miles so far, how long is the whole trip?
Answer:
150 miles
Step-by-step explanation:
If they've completed 60% and have covered 90 miles
We can say
60% = 90 (miles)
We can work out 10% by dividing by 6 on both sides
10% = 15
100% is just 10 times larger
100% = 150
The trip (100% completion) is 150 miles
What type of sampling method should be used when accuracy and generalizability of findings is a primary concern
The sampling method that ensures the accuracy and generalizability of findings is a random sampling.
What is random sampling?
The term random samping is a sampling technique in which the participants are selected in a random manner from the population. The sample is selected in such a way that it is representative of the entire population.
The sampling method that ensures the accuracy and generalizability of findings is a random sampling.
Learn more about random sampling: https://brainly.com/question/12719656
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Wriite the product of 7 and a number w as an expression
NEED HELP ASAP!!! WILL GIVE BRAINLIEST!! PLEASE DO BOTH!
solution 1
[tex]\dashrightarrow \sf 6\dfrac{2}{6} *1\dfrac{1}{2}[/tex]
[tex]\dashrightarrow \sf \dfrac{38}{6} *\dfrac{3}{2}[/tex]
[tex]\dashrightarrow \sf \dfrac{114}{12}[/tex]
[tex]\dashrightarrow \sf 9\dfrac{6}{12}[/tex]
solution 2
[tex]\dashrightarrow \sf 5\dfrac{2}{3} *\dfrac{3}{4}[/tex]
[tex]\dashrightarrow \sf \dfrac{17}{3} *\dfrac{3}{4}[/tex]
[tex]\dashrightarrow \sf 4\dfrac{3}{12}[/tex]
Answer:
Question 3) -- C -- 9 6/12
Question 4) -- C -- 4 3/12
Step-by-step explanation:
Hope this helps
Match the equivalent parts of the circle:
Answer:
1) d
2) a
3) c
4) b
Step-by-step explanation:
7. An engineer is investigating three
engines for fuel efficiency. The table
below shows the results of the tests for
the three engines. Which option gives the
best fuel efficiency? Why?
IT'S A CONSTRUCTED RESPONSE!!!
PLEASE SOMEONE ANSWER ME!!!! :/
In order to calculate efficiency
Range ÷ FuelOption A
528 ÷ 24 = 22 mi/gal
Option B
690 ÷ 30 = 23 mi/gal
Option C
840 ÷ 42 = 20 mi/gal
Option B, gives the best fuel efficiency because the car can travel further using 1 gallons of fuel than others.
Which are factors of 18? Check all that apply. 1 2 3 4 8
Answer:
1 2 3
Step-by-step explanation: 1 times 18, 2 times 9, 3 times 6
Answer number 10 please thank you
What is the surface area of a right rectangular prism with a length of 5.2 mm, a width
of 4.9 mm, and a height of 9.1 mm?
Answer:
Solution
A=2(wl+hl+hw)=2·(4.9×10-3·5.2×10-3+9.1×10-3·5.2×10-3+9.1×10-3·4.9×10-3)≈2.3478×10-4m²
Step-by-step explanation:
can someone help me please
What is y=3/4x-2 I need help ASAP please
Answer: [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
The equation is in the slope-intercept format of y=mx+b
In this format the slope is m
In this case m is [tex]\frac{3}{4}[/tex]
Jessiah has 6 more pencils than grace. miles has twice as many pencils as jessia. they have a total of 50 pencils together. how many pencils does each person have?
Answer:
Jessiah has 14 pencils
Miles has 28 pencils
Grace has 8 pencils
Step-by-step explanation:
I'm going to assume that you mean Jessaih instead of Jessia because otherwise it would be impossible to solve
Let the # of Jessaih's pencils equal j, # of Grace's pencils equal g, # of Miles' pencils equal m,
j=g+6
m=2j
So m=2(g+6) or 2g+12
Therefore, g+g+6+2g+12, or 4g+18=50, so g = 8
j=8+6, which is 14
m = 2(14), which is 28
what is m ∠3 if m ∠2 = 75 what is m ∠3
Answer:
115
Step-by-step explanation:
Pls help in 14
No idea
As you can see, the area of the scarf is equal to the area of the rectangle minus the area of the 2 semi-circles (which form a circle)
Now, we calculate the area of the rectangle : 28 x 15 = 420 in2
The diameter of the circle is 15in -> The radius = 15 : 2 = 7.5in.
We now find the area of the 2 semi-circles : 7.5 x 7.5 x 3.14 = 176.625 in2
So, the area of the scarf is : 420 - 176.625 = 243.375 in2
Please help me with this
B) <2≅<6
Step-by-step explanation:When a transversal crosses over 2 parallel lines there are certain statements that can be made, such as the fact that corresponding angles are congruent.
Defining a Corresponding Angle
Corresponding angles are angles that have the same relative position with different vertices. For example, if 2 angles are both in the bottom left of an intersection of 2 lines, they are corresponding. Since both angle 2 and 6 are in the top right, they are corresponding.
Proving the Lines are Parallel
Since corresponding angles are congruent when a transversal crosses parallel lines, any statement that proves corresponding angles are congruent would prove the lines are parallel. This means that <2≅<6 must prove that l║m.
Process of Elimination
Additionally, we can prove that B is correct by proving that the other answers are incorrect.
A) Angle 2 and 3 are vertical angles. This has nothing to do with parallel lines and cannot be used to prove that l║m.
C) Angle 7 and 8 are a linear pair, and, once again, this has nothing to do with whether or not l and m are parallel.
D) If l and m were parallel, then angles 3 and 5 would sum to 180 degrees. this is because if l║m, then <3 and <5 would be same side interior angles. Same side interior angles always sum to 180. So, this statement would actually disprove l║m.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
A classroom library has a 100 books. Half of the books are fiction. Of the books left, a tenth are about animals. How many animal books does the library contain?
Answer: 5
Answer:
5
Step-by-step explanation:
half of 10 is 50 on tenth of 50 is 5
I WILL GIVE 5 STARS IN YOUR ACC AND COMMENT AND WILL GIVE YOU A THANK YOU!
Can some help me i dont know the awnser
You roll a 6-sided die two times.
What is the probability of rolling a number less than 4 and then rolling a number less than 47
Write your answer as a percentage.
Answer:
as a non percent 3/6 or 50%
Step-by-step explanation:
A number less than 4 would be 1,2 and 3 so you have 3/6 die chance
Vs. 1,2,3,4,5,6 which are all under 47 so rolling a number like that would be 100% or 6/6