Answer:
f(a + 2)= (5 + a) / (a - 1) or f(a+2)= (a+5)/(a-1)
Step-by-step explanation:
f(x)=(3+x)/(x-3)
To evaluate f(a+2), simply replace the x with a+2
f(a+2) = (3 + a+2)/(a+2 - 3)= (a+5)/(a-1)
or
To answer items such as this, we directly substitute the a + 2 to the all the x's in the function:
f(a + 2) = (3 + a + 2) / (a + 2 - 3)
Simplifying the function generated above:
f(a + 2) = (5 + a) / (a - 1)
Step-by-step explanation:
f(x) = 3+x/x-3
Substituting x = a+2, we get
[tex]f(a + 2) = \frac{3 + (a + 2)}{(a + 2) - 3} \\ f(a + 2) = \frac{a + 5}{a - 1} [/tex]
which is the final answer.
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What is the lower quartile of 27,5,11,13,10,8,14,18,7 a. 7 b. 7.5 c. 8 d. 8.5
Answer:
Lower Quartile = 7.
Step-by-step explanation:
Given : 27,5,11,13,10,8,14,18,7
To find : What is the lower quartile .
Solution : We have given 27, 5, 11, 13, 10, 8, 14 , 18 , 7.
Step 1 : Arrange in order
5 , 7 ,8 ,10 ,11, 13 , 14 ,18 , 27.
Step 2 : divide in to Quartile
Lower Q1 = 5 ,7 ,8
Middle Q2 = 10, 11 , 13.
Highest Q3 = 14 ,18 , 27.
Hence Lower Quartile = 7.
Therefore, Lower Quartile = 7.
Answer:
A=7!
Step-by-step explanation:
The table shows the favorite subjects of students in a recent survey
Did more students choose art or math,Explain
Art:4/25
Math:0.28
Answer:
More students chose math
Step-by-step explanation:
4/25 can be converted into a percent and percents are out of 100, so 25x4 is equal to 100 and 4 x 4 is equal to 16
so 4/25 is 16%
0.28 is 28% Because you move the decimal to places to the right
How to use Distributive property for -3 (z+2)
Answer:
Step-by-step explanation:
First multiply the number outside of the parentheses (-3) by the first number inside the parentheses (z). Next you can do that same thing but with multiplying the number outside of the parentheses by the second number in the parentheses (2). Then you add your two answers, but since you have a variable in there you just put down the simplified version which is just your two products from before.
HELP ASAP PLEASE ONLY #4,6,8,10,12,14,16
Answer:
Step-by-step explanation:
Oof, all 6? That's not fun.
I'm going to show you one for the first bunch, (4-12) and hopefully you can get the rest. If not let me know and I can more carefully work you through some others on here.
4) So first we need the angle. How do we find that? Well, we know it's somewhere between 270 and 360 degrees (or 3pi/2 and 2pi radians) since it's in the fourth quadrant. The method to finding the angle is ifferent for each quadrant, but it's nice to know around where you'll get. Anyway,, if we take 360 and subtract that little space that is unlabeled we will know the rest. Hopefully that makes sense, but let me know if not, it's important to understand. Maybe think of what happens if you add the two together, you get around the whole circle then.
Anyway, to find that little sliver, we are going to construct a right triangle wherethe x axis is one side. If you draw a line connecting point p and the x axis you have this right triangle. I am going to call this sliver we don't know s. ANyway, now we use trig here.
s = arcsin(3/5) (you can find 5 pretty easily but let me know if you don't see it.)
You may think to use -3 instead of 3, and it wouldn't be a huge mistake, it will just give you the negative version of what we want.
Anyway, now we know theta is 360-s (or 2pi-s). You can solve s or leave it as arcsin(3/5) so you don't have to round.
Now we can solve the trig functions. If you don't know the sum and difference trig identities you will have to round. They are pretty simple formula though. For instance, sin(2pi - arcsin(3/5)) = sin(2pi)cos(arcsin(3/5))-cos(2pi)sin(arcsin(3/5)) = 0 - 3/5 = -3/5 You will also want to know that s = arcsin(3/5) = arccos(4/5) = arctan(3/4). ROunding will get you close but not exact.
Again, let me know ifyou need any more help, they should just be a lot of doing the same thing over and over and over again though.
14) For 14 and 16 you just need to know how the graphs of sin, cos and tan look. Is this something you have trouble with? Like could you draw the graphs at the intervals of increasing/ decrasing and all. if not I can give a quick explanation.
Solve the system of equations:
y = 2x - 5
y = x2 - 5
To solve the system of equations y = 2x - 5 and y = x² - 5, use algebraic methods such as factoring or the quadratic formula to find the x-values. Then plug these values back into one of the original equations to find the corresponding y-values. The solutions to the system of equations are (5, 5) and (-2, -9).
Explanation:To solve the system of equations y = 2x - 5 and y = x² - 5, we can set the two equations equal to each other since they both equal y. This gives us the quadratic equation x² - 2x - 10 = 0. We can solve this quadratic equation by factoring, completing the square, or using the quadratic formula.
Factoring the quadratic equation, we get (x - 5)(x + 2) = 0. This means that x - 5 = 0 or x + 2 = 0. Solving these two equations gives us x = 5 or x = -2. Substituting these values back into either of the original equations, we can find the corresponding y-values. For x = 5, y = 2(5) - 5 = 5. For x = -2, y = 2(-2) - 5 = -9. Therefore, the solutions to the system of equations are (5, 5) and (-2, -9).
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A square painting measures 2 meters on each side. What is the area of the painting square centimeters?
Answer:
40,000cm
Step-by-step explanation:
there are 100cm in every meter, so each side of the square is 200cm long. to find the area multiply length times height (the length and the height are equal on a square)
200x200 = 40,000
Answer:
[tex]\boxed{\text{40 000 cm}^{2}}[/tex]
Step-by-step explanation:
A = l²
[tex]A = (\text{2 m})^{2} \times \left (\dfrac{\text{100 cm}}{\text{1 m}}\right )^{2} = \textbf{40 000 cm}^{2}\\\\\text{The area of the painting is $\boxed{\textbf{40 000 cm}^{2}}$}[/tex]
What is -1/4 x (-8/9) in simplest form??
Answer:
The right answer is [tex]\frac{2}{9}[/tex].
Step-by-step explanation:
To multiply two fractions we multiply numerator by numerator and denominator by denominator. In this case:
[tex]\frac{-1}{4} x\frac{-8}{9} = \frac{8}{36}[/tex]
Notice that both numerator and denominator are divisible by 4. Dividing both by 4 we get [tex]\frac{8}{36} = \frac{2}{9}[/tex]
what is the numerical coefficient of the term 10x
Answer:
10Step-by-step explanation:
10x = 10 · x =(10)(x)
The numerical coefficient of the term 10x is 10.
Your water is 5/6 full. After Tennis Practice, the bottle is 3/8 full. How much water did you drink?
Answer: 11/24
Step-by-step explanation:
5/6 - 3/8 = 11/24
Fill in the table using this function rule.
y=28 - 3x
X Y
1
3
4
6
Answer:
So, you just end up plugging in your numbers.
y = 28 - 3(1)
y = 28-3
y = 25
Y = 28 - 3(3)
y = 28 - 9
y = 19
y = 28 - 3x
y = 28 - 3(4)
y = 28 - 12
y = 16
y = 28 - 3x
y = 28 - 3(6)
y = 28 - 18
y = 10
Step-by-step explanation:
The completed table is:
X Y
1 25
3 19
4 16
6 10
How to fill the tableTo fill in the table using the function rule y = 28 - 3x, we can substitute the given values of x into the equation to find the corresponding values of y.
X Y
1 28 - 3(1) = 28 - 3 = 25
3 28 - 3(3) = 28 - 9 = 19
4 28 - 3(4) = 28 - 12 = 16
6 28 - 3(6) = 28 - 18 = 10
So, the completed table is:
X Y
1 25
3 19
4 16
6 10
For each value of x, we substituted it into the function rule and performed the necessary calculations to determine the corresponding value of y.
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In A ABC and ARST, BC = 15, AC = 9, and RS = 6. Find the lengths of the missing sides of AABC and
ARST that would make a ABC ~ ARST by a scale factor of Include a sketch and show your work.
Picture how you show picture if it not paper to sketch on
Please answer this correctly
Answer:
Kang
Step-by-step explanation:
Janelle ran longer than Kang
Janelle>Kang
Janelle ran shorter than Annette
Annette>Janelle>Kang
Janelle ran longer than John and John ran longer than Kang
Annette>Janelle>John>Kang
It took Reza 2 hours to edit 6 math
problems. At that rate, how many math
problems could Reza edit in 45 hours?
Answer:
135
Step-by-step explanation:
My method 45 hours - 1 so i could divide by 2 because its 2 hours every 6 problems and 1 hour would be 3 math problems we can add that to the total
44 / 2 = 22, 22 * 6 = 132, 132 + 3 = 135
Alternate method
45 * 3 = 135
If every 9 Points Equals 1 Dollar How Many Points Do I Need To Make One Thousand Dollars?
First One To Answer Correctly Gets Brainliest!
It has to be correct.
pls hurry
Answer: 9,000$
Step-by-step explanation: if 9 = $1
You multiply 9 by $1,000 and get 9,000
I can’t do math someone help me out lol 6.51-9.32+h=1.02
Answer:
h = 3.83
Step-by-step explanation:
Solve for h:
h - 2.81 = 1.02
Add 2.8100000000000005` to both sides:
h + (-2.81 + 2.81) = 2.81 + 1.02
2.81 - 2.81 = 0:
h = 1.02 + 2.81
1.02 + 2.81 = 3.83:
Answer: h = 3.83
The coordinates of the verticals of JKL are J(-2,1), K(-1,3) and L(-3,4). Can someone please check my answer?
Find the sum. Write the addition property you used. 28+29+42=
Step-by-step explanation:
28+29=57
57+42=99 so 99 should be your answer
Answer:
Step-by-step explanation:
First your gonna brake up each number and seperate them for example
28
29
42
then your going to add up the ones side, 8,9,2, to get 19.
Then your going to add the tens side, 2,2,4, to get 8.
take the one from 19 and put it in the tens place to get 9 in the tens and 9 in the ones.
put 9 and 9 together to get 99.
What is a interrogative sentence
Answer:
A sentence that has or is conveying a question.
Step-by-step explanation:
Answer:
Step-by-step explanation:
sentence that asks a question.
what is 25 ties 3 divited by 19
Answer:3.9
Step-by-step explanation:
Answer: 25 x 3 divided by 19 is 3.94736842105
Need help ASAP 3 question. WILL GIVE BRAINLIEST
Answer:
Exact form: 11/125
Decimal Form: 0.088
Step-by-step explanation:
In which pair of numbers is the first number a multiple of the second number?
Group of answer choices
27, 9
25, 6
8, 72
52, 3
Answer:
27,9
Step-by-step explanation:
9x3=27
To do such problems we need to know the concept of multiple of a number.
A multiple is a number that is the result of multiplying a number by an integer (not a fraction).
Given options,
a.) 27, 9
We can write 27 as 9 x 3, therefore, we can see that 27 is a multiple of 9.
b.) 25, 6
We can write 25 as 5 x 5, we can see that 25 is not a multiple of 6.
c.) 8, 72
We can write 8 as 2 x 2 x 2, we can see that 8 is not a multiple of 72.
d.) 52, 3
We can write 52 as 2 x 2 x 13, we can see that 52 is not a multiple of 3.
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in the diagram below, <AFB = <EFD. if m<EFD = (5x+6)°, m<DFC = (19x-15)°, and m<EFC = (17x+19)°, find m<AFE
Answer:
m<AFE = 128°.
Step-by-step explanation:
Step 1: Find the value of x
Angle EFD + Angle DFC = Angle EFC
5x + 6 + 19x - 15 = 17x + 19
24x - 9 = 17x + 19
7x = 28
x = 4
Step 2: Find all angles
Angle AFB=Angle EFD= 5x + 6
5(4) + 6 = 26°
Angle DFC = 19x - 15
19(4) - 15 = 61°
Step 3: Find angle AFE
Line BD is a straight line and all angles on a straight line are equal to 180°.
Angle AFB + Angle AFE + Angle EFD = 180°
26 + BFC + 26 = 180°
BFC = 180 - 52
BFC = 128°
Therefore, m<AFE is equal to 128°.
!!
The measure of m<AFE if m<EFD = (5x+6)°, m<DFC = (19x-15)°, and m<EFC = (17x+19)° is 128degrees
Angle is the point where two or more lines meet. From the given diagram:
m<EFC = m<EFD + m<DFC
Given the following:
m<EFC = 17x + 19
m<EFD = 5x+6
m<DFC = 19x - 15
Substitute the given values into the expression
17x + 19 = 5x + 6 + 19x - 15
17x - 5x - 19x = -19 - 9
12x - 19x = -28
-7x = - 28
x = 28/7
x= 4
Get the angle m<AFE
m<AFE + m<ABF + m<EFD = 180
Since <AFB = <EFD
m<AFE + m<EFD + m<EFD = 180
m<AFE + 2m<EFD = 180
m<AFE + 2(5x+6) = 180
m<AFE + 2(5(4) + 6) = 180
m<AFE +2(26) = 180
m<AFE + 52 = 180
m<AFE = 180 - 52
m<AFE = 128 degrees
Hence the measure of m<AFE is 128degrees
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The following system has a solution: x= 10,y=-3,z = 14
3x + 7y-z= -5
9x-y-4z = 17
5x - 12y-z=0
Answer:
3x + 7y - z = -5
Step-by-step explanation:
[tex]3(10) + 7(-3) - 14 = -5 \\ \\ 30 - 21 - 14 = -5[/tex]
I am joyous to assist you anytime.
Someone please help me with this question asap.
Answer:
-1<x<1 and 1<x
Step-by-step explanation:
We are asked to determine the interval in which our function shown in the graph has positive values.
In order to do so, we have to see for what values of x on x axis, the graph is above x axis.
As we can see in the graph, when we move from x = -1 towards right, the graph is above x axis. And towards left of x=-1 , the graph is below x axis. Hence answer is
-1<x<1 and 1<x
Name: cuiusly thens
Date: _9-1119
Bell: Berat
Unit 6: Exponents & Exponential Functions
Homework 1: Adding, Subtracting,
& Multiplying Monomials
Directions: Simplify the following monomials.
1.-3a + 52a
2.-12x²y – 3x²y
3. 16ab3 – 43ab3
4.-15m - (-15m)
5. 11c2d? – 20cd
6. 4ab + 13bc
7. -5a2b2 – a62
8. 8x2 – x2 – 12x2 + 2x2
9. 16x²y – 4xy2 – 5x2y + 10xyz
10. Subtract -2x from -8x.
11. From 13xy2, subtract 21xy? 12. Subtract 17a_b from 2a4b.
Directions: Use the product rule to simplify the following monomials.
13. bº.64
14. (rºy5) (183,10)
15. 3a*.5a
16. 5a(-35)(-2a63)
17. 11(4cd)(-cd5)
18. (-xy3)(4x2y)
19. (-1563). (43*)
20. (Saľbe”). E abe
21. }(2a?b)(65")
22. (7a)(3ab) - 4a4b
23. (2y2)(4xy3) + (3xy+)(5y)
24. (2xy)(-4x2) + (6x)(6r?y)
25. (2ab?)(4a²b3) - (10a3b)(664)
© Gina Wilson (All Things Algebro. LLC), 2012-2013
This set of problems revolves around simplifying monomials by adding, subtracting, and multiplying them. For example, the subtraction of -2x from -8x would simply result into -6x. A similar approach can be used for other problems.
Explanation:The question primarily deals with exponents and exponential functions, specifically about simplifying monomials by using the rules of addition, subtraction, and multiplication. Additionally, it wants us to utilize the product rule to simplify further monomials. For instance if we look at problem 10, which asks to subtract -2x from -8x. The subtraction of a negative number is equivalent to addition. So, -8x - (-2x) becomes -8x + 2x which simplifies to -6x. This is just an example, and the similar approach can be used to solve the remainder of the problems.
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What are the possible rational roots of the polynomial equation?
0=2x7+3x5−9x2+6
Answer: [tex]\pm\frac{1}{1}, \pm\frac{1}{2},\pm\frac{2}{1},\pm\frac{3}{1}, \pm\frac{3}{2}[/tex]
Step-by-step explanation:
We can use the Rational Root Test.
Given a polynomial in the form:
[tex]a_nx^n +a_{n- 1}x^{n - 1} + … + a_1x^1 + a_0 = 0[/tex]
Where:
- The coefficients are integers.
- [tex]a_n[/tex] is the leading coeffcient ([tex]a_n\neq 0[/tex])
- [tex]a_0[/tex] is the constant term [tex]a_0\neq 0[/tex]
Every rational root of the polynomial is in the form:
[tex]\frac{p}{q}=\frac{\pm(factors\ of\ a_0)}{\pm(factors\ of\ a_n)}[/tex]
For the case of the given polynomial:
[tex]2x^7+3x^5-9x^2+6=0[/tex]
We can observe that:
- Its constant term is 6, with factors 1, 2 and 3.
- Its leading coefficient is 2, with factors 1 and 2.
Then, by Rational Roots Test we get the possible rational roots of this polynomial:
[tex]\frac{p}{q}=\frac{\pm(1,2,3,6)}{\pm(1,2)}=\pm\frac{1}{1}, \pm\frac{1}{2},\pm\frac{2}{1},\pm\frac{3}{1}, \pm\frac{3}{2}[/tex]
The possible rational roots of the polynomial equation [tex]0 = 2x^7 + 3x^5 - 9x^2 + 6.[/tex] are ±1, ±2, ±3, ±6, ±1/2, ±1, ±3/2, and ±3.
Given equation [tex]0 = 2x^7 + 3x^5 - 9x^2 + 6[/tex].
The Rational Root Theorem states that if there are any rational roots (fractions in the form p/q) for the polynomial equation, then p must be a factor of the constant term (in this case, 6), and q must be a factor of the leading coefficient (in this case, 2).
So, the possible rational roots (fractions p/q) for this polynomial are all the combinations of p and q, where:
p is a factor of 6, and
q is a factor of 2.
The factors of 6 are ±1, ±2, ±3, and ±6.
The factors of 2 are ±1 and ±2.
So, the possible rational roots are all the combinations of these factors:
±1/1, ±2/1, ±3/1, ±6/1, ±1/2, ±2/2, ±3/2, and ±6/2.
Simplify these fractions:
±1, ±2, ±3, ±6, ±1/2, ±1, ±3/2, and ±3.
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What is bigger 5/12 or 4/7
Answer:
4/7
Step-by-step explanation:
Given 5/12 and 4/7
we see that a common denominator for both fractions could be 12 x 7 = 84, hence we can express both fractions with a denominator of 84
5/12 = (5/12) x (7/7) = 35/84
4/7 = (4/7) x (12/12) = 48/84
now comparing 35/84 and 48/84, we can see that 48/84 is larger, which corresponds to 4/7, hence 4/7 is larger
you are traveling on a bus to camp, which is 200 miles away, at 50 mph. The number of miles, n, that you have left to travel after t hours
The equation that represents the number of miles covered in time t will be n = 50t.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
you are traveling on a bus to camp, which is 200 miles away, at 50 mph. The number of miles, n, that you have left to travel after t hours. Then the equation will be
50 = n / t
n = 50t
The equation that represents the number of miles covered in time t will be n = 50t.
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If y(x) = 3(x+5) +-, what is
a + 2)?
Answer:
f(a + 2) = 3a + 21
Step-by-step explanation:
f(x) = 3(x+5)
x = a + 2
f(a + 2) = 3(a + 2 + 5)
f(a + 2) = 3(a + 7)
f(a + 2) = 3a + 21
Assume that a bacteria population doubles every second. Which of the following tables of data, with X representing time in seconds and y representing the count of bacteria, could represent the bacteria population with respect for time?
(answers in the pic)
Answer: Table A
Step-by-step explanation:
Because it doubles every second. At 0s, its 3. Then at 1s, it doubles which means 3x2=6, which is in table. then at 2s, that doubles to 6x2=12....and so on