Find (f/g)(x). f(x)=/x^2-1 g(x)=/x-1
Answer:
[tex](\frac{f}{g})(x) = \sqrt{x + 1}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \sqrt{x^2 - 1[/tex]
[tex]g(x) =\sqrt{x - 1[/tex]
Required
Find [tex](\frac{f}{g})(x)[/tex]
[tex](\frac{f}{g})(x)[/tex] is calculated as:
[tex](\frac{f}{g})(x) = \frac{f(x)}{g(x)}[/tex]
This gives:
[tex](\frac{f}{g})(x) = \frac{\sqrt{x^2 - 1}}{\sqrt{x - 1}}[/tex]
Apply difference of two squares on the numerator
[tex](\frac{f}{g})(x) = \frac{\sqrt{x - 1}*\sqrt{x + 1}}{\sqrt{x - 1}}[/tex]
[tex](\frac{f}{g})(x) = \sqrt{x + 1}[/tex]
Plz help me well mark brainliest if correct!!
Answer:
C
Step-by-step explanation:
There is no class at 8:30 at studio B
i am a 5 digit number,my ones place digit is of no use as i, i still remain same without it . my ten's and hundreds place digits are mirror images. my thousand place digit are half of 2nd, my 10thousand digit is 3 more than my ones place , who am i ?
Answer:
The 5 digit number is 34880
Step-by-step explanation:
Let the five digit number be represented by "abcde".
We are told that 1 place digit number is of no use and the 5 digit number will remain the same without it.
This means that e = 0
The tens and hundreds digit are d and c respectively. We are told that they are mirror images of each other.
Thus, d = c = 8. Since 8 is the only number from 1 to 10 that can be mirrored and still remain a usable number.
The thousand digit is Half of the second digit.
Thus, b = ½d
b = 8/2
b = 4
We are told the 10thousand digit is 3 more than my ones place. Thus;
a = e + 3
a = 0 + 3
a = 3
We have seen that;
a = 3
b = 4
c = 8
d = 8
e = 0
Thus,the 5 digit number is 34880
Need the next three numbers on the line please help
Answer:
B = -1
C = -1/2
D = 0
I hope this helps
Step-by-step explanation:
Let the unit distance be 'x'.
There are 4 units in between A and E. It means,
A(unit) + 4(unit) = E(unit)
-1 (1/2) + 4x = (1/2)
-(2+1)/2 + 4x = 1/2
- 3/2 + 4x = 1/2
4x = 1/2 + 3/2
4x = 4/2
x = 1/2
B is at distance x from A= -3/2 + 1/2 = -1
C is at distance 2x fromA=-3/2+2(1/2)=-1/2
D is at distance 3x from A=-3/2+3(1/2)=0
Which of the following is not one term? -x^4, 38, 4y/5, -2-x
Answer:
the correct answer is-2-x
A gardener works for 13 hours during a week and charges $169 how much does the gardener charge for each hour?
Answer:
You have to divide to unit price, 169/13 is equal to 13!
Step-by-step explanation:
If f(x)=2(x)^2+5square root (5+2) complete the following statement f(2)= blank
The complete statement is f(2) = 8+5√7
What are functions?Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given here f(x)=2x²+5√7
Thus f(1) = 2×4+5√7
= 8+5√7
Hence, The complete statement is f(2) = 8+5√7
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Layla gives
120 scarves to Shop A to sell
152 scarves to Shop B to sell.
Shop A sold 15% of its 120 scarves.
Shop B sold an eighth of its 152 scarves.
●
(b) Which shop sells the most scarves?
You must show your working.
Answer:
Shop B
Step-by-step explanation:
First, find the number of scarves that Shop A sold: 15% of 120 scarves is 15/100 * 120 scarves = 18 scarves.
Then, find the number of scarves that Shop B sold: an eighth of 152 scarves is 152/8 = 152/8 = 19 scarves.
Since 18 scarves is less than 19 scarves, Shop B sold more scarves.
Please help me solve
[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill[/tex]
[tex](-6x^3 y^5 + 11x^3 y^2) \div (-2x^2 y^3)\implies \cfrac{-6x^3 y^5 + 11x^3 y^2}{-2x^2 y^3} \\\\\\ \cfrac{-6x^3 y^5}{-2x^2 y^3}+\cfrac{11x^3 y^2}{-2x^2 y^3}\implies \cfrac{-6}{-2}\cdot \cfrac{x^3 y^5}{x^2 y^3}+\cfrac{11}{-2}\cdot \cfrac{x^3 y^2}{x^2 y^3} \\\\\\ 3\cdot x^3 x^{-2}y^5 y^{-3}+\cfrac{11}{-2}\cdot \cfrac{x^3 x^{-2}}{y^3 y^{-2}}\implies 3x^{3-2}y^{5-3}-\cfrac{11}{2}\cdot \cfrac{x^{3-2}}{y^{3-2}} \\\\\\ ~\hfill {\Large \begin{array}{llll} 3x y^2 -\cfrac{11x}{2y} \end{array}}~\hfill[/tex]
Which of the following is equivalent to 5/20 ? *
Mark only one oval.
2/10
10/30
5/10
1/4
Find the value of x for which line L is parallel to M
Answer:
50
Step-by-step explanation:
Angle 95 and ( 2x - 5 ) are alternate interior angles.
Alternate interior angles are equal.
2x - 5 = 95
2x = 95 + 5
2x = 100
x = 100 / 2
x = 50
(-5i)(7 + i)
Please help with with the correct response and explanation if you can I would be more than thankful for some help!
Answer:
To solve this problem, you need to use the distributive property, which states that for any two numbers a and b, and for any numbers x and y, (a + b) * x = ax + bx and x * (a + b) = xa + xb.
Applying the distributive property, we have:
(-5i)(7 + i) = (-5i) * 7 + (-5i) * i
= -35i + (-5i) * i
Now, you need to use the fact that i * i = -1:
(-5i)(7 + i) = -35i + (-5i) * i
= -35i + (-5) * (-1)
= -35i - 5
= -40i - 5
So the final result is -40i - 5.
Frank does a weekly exercise program consisting of cardiovascular work and weight training. Each week, he exercises for at least 6 hours. He spends at most 12
hours on weight training. He spends at most 3 hours doing cardiovascular work. Letx denote the time (in hours) that Frank spends doing cardiovascular work.
Let y denote the time (in hours) that he spends on weight training. Shade the region corresponding to all values of x and y that satisfy these requirements.
The expression can be written as x ≤ 3 + y ≤ 12 ≥ 6. which is an inequality.
What is inequality?
A mathematical operator that expresses the inequal comparison between different numbers or different variables and numbers. There are various types of inequalities such as greater than >, less than <, greater than or equal ≥ and less than or equal ≤
How to express the inequality as per given statement?
Frank participates in exercise program at least 6 hours in each week.
He spends at most 12 hours on weight training
y denotes the time in hours that he spends on weight training.
Frank spends at most 3 hours doing cardiovascular works
x denotes the time in hours that he spends doing cardiovascular works
The expression that can represent the above statement.
can be written as
x ≤ 3 and y≤ 12
x ≤ 3 + y ≤ 12 ≥ 6
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brooklyn bought 8 bags of the same dog food. She has a $5 coupon. She spent $91. How much was each bad of dog food?
Answer:
$12
Step-by-step explanation:
Hi there!
What we know:
Brooklyn bought 8 bags of dog foodBrooklyn also used a $5 couponThe total was $91Therefore, 8 × (cost of 1 bag) - 5 = 91
Form an equation with x as the cost of 1 bag of dog food:
8 × (cost of 1 bag) - 5 = 91
[tex]8x-5=91[/tex]
Add 5 to both sides
[tex]8x-5+5=91+5\\8x=96\\[/tex]
Divide both sides by 8
[tex]\frac{8x}{8} = \frac{96}{8} \\x=12[/tex]
Therefore, 1 bag of dog food costs $12.
I hope this helps!
A data set that is normally distributed has a mean of 128 and standard deviation of 6.2. What is the Z-score,
rounded to the nearest hundredth, for a data value of 143
Answer:
2.42Step-by-step explanation:
Given:
μ = 128σ = 6.2x = 143Z-score is:
z = (x - μ)/σ = (143 - 128)/6.2 ≈ 2.42 (rounded to the nearest hundredth)I’m confused HELP pls
On solving the equation n = za the value of a is obtained as a = n/z.
What is an equation?
A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").
To solve for a in the equation n = za, isolate a on one side of the equation.
Do this by dividing both sides by z:
n/z = (za) / z
On the right side, the z's cancel out, leaving -
n/z = a
So the solution is -
a = n/z
Therefore, the value of a that satisfies the equation n = za is equal to n divided by z.
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find all six trig ratios for the ordered pairs:
a. (2,-5)
b. (-9,-12)
Answer:
im nice at ping pong
Step-by-step explanation:
A 200-foot cable weighing 800 pounds is hanging from a winch 200 feet above ground level.
(a) How much per foot does this cable weigh? if a piece of this cable is A.x long, what is the weigh of this piece?
(b) Find the work (in ft-lb) done in winding up the cable when there is a 400- pound load attached to the end of the cable.
Answer:
4 pd / ft
140000 ft/pd
Step-by-step explanation:
Total Weight of cable = 800 pounds
Length of cable = 200 feets
Weight per foot = Total weight / length = 800 / 200 = 4 pounds per foot
Weight of piece will be :
Weight of cable - weight per foot * x
800 - 4x
Workdone with 300 pound load attached :
∫f(x)
f(x) = (800+300 - 4x) = 1100 - 4x
∫1100 - 4xdx at 200 to 0
Integrating the above
1100x - 4/2x² at x = 200 to 0
1100x - 2x²
1100(200) - 2(200²) - 1100(0) + 2(0^²))
(220000-80000) - 0 + 0
140000 ft/pd
a rectangular pyramid has a volume of 560 cubic meters. the base has a length of 16 meters and a width of 10 meters. what is the height of the pyramid
x -3y = -5
-x +3y = 0
9514 1404 393
Answer:
no solution
Step-by-step explanation:
The equations are inconsistent. They have NO SOLUTION.
__
Add the two equations and you get ...
0 = -5 . . . . . . False
No values of the variables will make this be true.
Tara is considering choosing either anthropology or economics as her college major, and she's wondering how
her SAT scores compare to those of her peers in either major. Tara finds some data on the SAT scores of
anthropology and economics majors at her school. The data is shown in the 2 plots below.
For
majors, the mean SAT score is greater than the median.
The
majors have a greater median SAT score.
Answer:
for (anthropology) majors, the standard deviation is an approximate measure of spread
The (economics) majors, have a greater standard deviation in SAT scores
What are the zeros of the function g(x) = (x + 6) (x – 4)(x + 2) ?
9514 1404 393
Answer:
x in {-6, -2, 4}
Step-by-step explanation:
The zero product rule tells you that a product will be zero if and only if one of the factors is zero. These binomial factors are zero when x has a value that is opposite the constant of the binomial.
x +6 = 0 ⇒ x = -6
x -4 = 0 ⇒ x = 4
x +2 = 0 ⇒ x = -2
The zeros of the function are the x-values -6, -2, and 4.
Please help, I will mark you brainiest!
Answer:
20
Step-by-step explanation:
The line measures a total of 180°
So make an equation where all of the angles added together = 180
100 + 3x + x = 180
Then solve for x.
First, combine like terms.
100 + 4x = 180
Subtract 100 from both sides
4x = 80
Divide both sides by 4 to isolate x
x = 20
Given the circle below with secants \overline{UVW} UVW and \overline{YXW} YXW . If YW=40, YX=16YW=40,YX=16 and VW=22VW=22, find the length of \overline{UV} UV . Round to the nearest tenth if necessary.
The length of UV in the circle is given as follows:
13.2.
How to obtain the length of UV?We are given two secant segments in the circle for this problem.
For two secants, the product of the lengths of one secant segment and it's external segment equals the product of the lengths of the other secant segment and it's external segment.
Hence, from the circle given by the image presented at the end of the answer, the relation for this problem is given as follows:
(22 + 17) x 17 = (20 + UV) x 20
Hence we must simply solve the expression to obtain the length of UV, as follows:
39 x 17 = 400 + 20UV
663 = 400 + 20 UV
20 UV = 263
UV = 263/20
UV = 13.2.
Missing InformationThe circles are given by the image presented at the end of the answer.
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Which expression is equivalent to 10 ?
0 x²(√²)
Ox2.2
O
**(√)
5
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The expression 10+(-8) is equivalent to 10 - 8.
What is expression?Different branches of mathematics exist. The branch of knowledge that deals with numbers and operations is arithmetic. We learned how to add, subtract, multiply, and divide two or more numbers through arithmetic.
Shapes and how they are created with various tools, such as a compass, ruler, and pencil, are the focus of geometry. Another fascinating area of study is algebra, which helps us communicate the numerical and alphabetic aspects of daily life (variables).
Any mathematical statement made up of numbers, variables, and an operation between them is called an expression or an algebraic expression. As an illustration, the expression 4m + 5 consists of the terms 4m and 5, as well as the variable m, all of which are separated from one another by the arithmetic sign +.
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Full question
What expression is equivalent to 10-8?
Mrs. Dern's class is preparing to write reports on the United States. Students must draw from a box the state that they will be assigned to. When it is Jake's turn to draw, there are three western states, one southern state, five midwestern states, and some eastern states remaining in the box. If the probability of drawing an eastern state is 1/2, how many eastern states are in the box?
Answer:
9
Step-by-step explanation:
Add all the states provided which is 9 since it said 1/2 chance answer is 9
−1, 1/6, −1/36, 1/216,…
What is the recursive rule for this sequence?
Question 9 options:
There is no rule
an = – 1 ⋅ an–1
an = ( 1/6) ⋅ an–1
an = (– 1/6) ⋅ an–1
Answer:
It is D: an = (– 1/6) ⋅ an–1
Step-by-step explanation:
In ADEF, the measure of ZF=90°, DF = 40, ED = 41, and FE = 9. What ratio
represents the secant of ZE?
E
41
9
D
40
Answer:
sec(∠F) = [tex]\frac{41}{9}[/tex]
Step-by-step explanation:
In triangle EFD,
m∠F = 90°
Adjacent side of ∠E = EF = 9 units
Opposite side of ∠E = DF = 40 units
Hypotenuse = DE = 41 units
For secant of ∠E ,
sec(∠E) = [tex]\frac{\text{Hypotenuse}}{\text{Adjacent side}}[/tex]
= [tex]\frac{41}{9}[/tex]
Therefore, [tex]\frac{41}{9}[/tex] is the ratio of secant of ∠F.
Solve the following inequality algebraically: 1<3x-2<4
Answer:
1<x<2
Step-by-step explanation:
Let's solve your inequality step-by-step.
1<3x−2<4
1+2<3x−2+2<4+2 (Add 2 to all parts)
3<3x<6
3/3<3x/3<6/3 (Divide all parts by 3)
1<x<2
Answer:
1<x<2
Please help me with this will mark brainlist
Answer:
[tex]\frac{x}{3} +5[/tex]
Step-by-step explanation:
5 more than means "+ 5"
quotient means fraction so x is the numerator and 3 is the denominator
[tex]\frac{x}{3} +5[/tex]