Answers
Answer: A. h(x) = 1/4x - 2
Step-by-step explanation:
f(x) = 4x + 8
find the inverse...
A.
[tex]h(x) = \frac{1}{4} x-2[/tex]
[tex]f(x) = 4(\frac{1}{4} x-2)+8[/tex]
[tex]f(x)=x-8+8[/tex]
[tex]f(x)=x[/tex]
[tex]h(x) = \frac{1}{4} (4x+8)-2[/tex]
[tex]h(x)=x+2-2[/tex]
[tex]h(x)=x[/tex]
Since they both come out to 'x', they are inverses of each other.
f(x) = 4x + 8 and h(x) = 1/4x - 2 are inverses
Explanation: Interchange X and y
X=4y+8 swap the sides of the equation
4y+8=X Move the constant to the right-hand side and change its sign
4y=X-8 divide both sides
Answer: 1/4x-2
Related Questions
Kyla has the number of cherries that Denise has. If Kyla has 46 cherries, how many cherries do they have altogether?
Answers
Answer:
92
Step-by-step explanation:
46 + 46 = 92
Explanation:
46+46=92
What is the value of x
Enter your answer in the box
X=_
Answers
Answer:
25
Step-by-step explanation:
This is an equilateral triangle so all of its angle measures, and side lengths likewise, are equal.
To find x we can use the following equation:
3x - 5 = 2x + 20 export like terms to the same side of the equation
3x - 2x = 20 + 5 (notice how terms change from "+" to "-" and vice versa)
add/subtract like terms
x = 25
Help would be appreciated
Answers
Answer:
625 × 48 = 30,000
[tex]\sqrt[4]{30000} = 10 \sqrt[4]{3} [/tex]
answer = third option
Please Help! What is the value of x?
Answers
Answer:
4.1968
Explanation:
Given that:
angle: 25°
opposite: x
adjacent: 9
So, use the tan rule:
opposite/adjacent = tan(x)
x/9 = tan(25)
x = 9tan(25)
x = 4.1968
Option A
Select the correct answer.
One tactor of the polynomial 253 - 352 - 35 + 2 is (x - 2). Which expression represents the other factor, or factors, of the polynomial?
OA. (2:2 + 1)
OB. (252 - 5 + 1)
OC. (25 - 1 (s+1)
OD. (25 + 1) (5 - 1)
Answers
The expression which represents the other factor, or factors, of the given polynomial is option (C) (2x-1)(x+1)
A cubic equation in algebra is a one-variable equation of the form ax3+bx2+cx+d=0 where an is nonzero. The roots of the cubic function defined by the left side of this equation are the solutions to this equation.
Given expression 2x³-3x²-3x+2 whose one of factor is (x-2)
We have to find second factor of given equation
First we will be rational root theorem to given expression so will get following expression:
[tex]\left(x+1\right)\frac{2x^3-3x^2-3x+2}{x+1}[/tex]
So one factor is (x-1) and now simplifying [tex]\frac{2x^3-3x^2-3x+2}{x+1}[/tex] we get 2x² - 5x +2 and the factor of 2x² - 5x +2 will be (2x-1)(x-2)
Hence the expression which represents the other factor, or factors, of the given polynomial is option (C) (2x-1)(x+1)
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Solve for y, Look at the picture to help.
Answers
Using two triangle concepts, it is found that the solution for y is of y = 70º.
What are the two triangle concepts used in this problem?The sum of the internal angles of a triangle is of 180º.The sum of an angle with it's external angle is also of 180º.Hence:
x + y + 70 = 180.y + 3x - 10 = 180 -> y = 190 - 3x.Then:
x + y + 70 = 180
x + 190 - 3x + 70 = 180.
2x = 80.
x = 40.
Hence:
y = 190 - 3x = 190 - 3(40) = 70º.
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There is a basketball court. A basketball, who never misses takes a random shot at the basket. What is the probability that the ball will go into the basket
Answers
Answer:
100% probability or 1/1
Step-by-step explanation:
This is because since the basketball NEVER misses, there is no chance the the ball will not go inside the basket, leaving room for only the ball to GO inside the basket. Hope this helps!! :D
On a coordinate plane, a circle has a center at (0, 0). Point (3, 0) lies on the circle.
Distance formula: StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot
Does the point (2, StartRoot 6 EndRoot) lie on the circle shown? Explain.
Yes, the distance from (3, 0) to (0, 0) is 3 units.
Yes, the distance from (0, 0) to (2, StartRoot 6 EndRoot) is 3 units.
No, the distance from (3, 0) to (2, StartRoot 6 EndRoot) is not 3 units.
No, the distance from (0, 0) to (2, StartRoot 6 EndRoot) is not 3 units.
Answers
Answer: Option (4)
Step-by-step explanation:
We know that the radius of the circle is 3.
Using the distance formula, the distance from the given point to the center is
[tex]\sqrt{(\sqrt{6}-0)^{2}+(2-0)^{2}} = \sqrt{10} \neq 3[/tex]
Answer:d
Step-by-step explanation:
Find the value of $x$ that satisfies $\frac{1}{3x-1} = \frac{2}{x+1}$. Can someone please explain this in detail?
Answers
The value of x = 3/5 or 0.6 will satisfy the equation given.
What is an Equation ?An equation is a mathematical statement which is formed when two expressions are equated by an equal sign.
It is given that
[tex]\rm \dfrac{1}{3x-1} = \dfrac{2}{x+1}\\[/tex]
It has to be solved and the value of x has to be determined
(x+1) = 2 (3x-1)
x +1 = 6x -2
5x = 3
x = 3/5
Therefore the value of x = 3/5 or 0.6 will satisfy the equation given.
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Question 6 (Yes/No Worth 1 points)
(02.01 LC)
Is the following relation a function?
Answers
Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options.
The value of f(–10) = 82
The graph of the function is a parabola.
The graph of the function opens down.
The graph contains the point (20, –8).
The graph contains the point (0, 0).
Answers
Answer:
I will assume the equation is supposed to be f(x) = x^2 – 5x + 12 since it is said to be a quadratic equation.
Step-by-step explanation:
See attached graph.
The value of f(–10) = 82 False
f(-10) = (-10)^2 - 5*(-10) + 12
f(-10) = (100) +50 + 12
f(-10) = 162
The graph of the function is a parabola. True
The graph of the function opens down. False
The graph contains the point (20, –8). False
The graph contains the point (0, 0). False
The price of a Year 7 mathematics textbook is $60. The store gives a discount of 20% on the textbook.
You have $50 to spend. Would you be able to buy the textbook? Explain.
Answers
Answer:
yes,you can buy the textbook
Step-by-step explanation:
determine discount
60 × 0.2(decimal form of 20%)
=12
apply discount
60-12
=48
50>48✓
(This is an Edge question)
Question:
Which expression is equivalent to negative 3 minus 3 times a number minus 1 plus a number.
[tex] - 3 - 3x - 1 + x[/tex]
Answer Choices:
A.
[tex]2x - 4[/tex]
B.
[tex] - 2x + 4[/tex]
C.
[tex] - 2x - 4[/tex]
D.
[tex]4 - 2x[/tex]
I will verify the answer and give Brainlyest for fastest and most accurate answer and 15 pts.
Answers
Answer:
The answer is C. -2x -4
Step-by-step explanation:
Your given information.
-3 - 3x - 1 + x
Combine and simplify common numbers/variables.
(-3x + x) + (-3 - 1)
-2x - 4
#5 In *triangle* ABC, AB = 9 and BC = 15. What is the range the possible lengths for CA?
Why?
Answers
For the line segments to form a triangle the length of CA cannot be less the the difference between the other sides or greater than their sum.
At either extreme the three points A, B and C will be co-linear thus forming a triangle with area of zero
Wesley and two of his friends are driving cross country nonstop and have agreed to take turns driving in 7 hour shifts. Each person will drive for one shift, and take two shifts off to rest. If Wesley’s first shift starts at 6:00 am, at what time will Wesley complete his third shift?
Answers
At 7:00 am Wesley complete his third shift if Wesley and two of his friends are driving cross country nonstop and have agreed to take turns driving in 7-hour shifts option (C) is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have:
Wesley and two of his friends are driving cross country nonstop and have agreed to take driving in 7-hour shifts.
Wesley’s first shift starts at 6:00 am
6:00 am = 6h 0m
= 6 + 7
= 13 h = 1:00 PM (Wesley's starts to rest)
Wesley will take a rest for 14 hours (7 + 7)
First shift = 7 + 14 = 21
Second shift = 7 + 14 = 21
Third shift = 7 = 7
= 21 + 21 + 7 = 49
= 49/24 = 2 days + 1 hour
6h + 1h = 7h = 7:00 am
Thus, at 7:00 am Wesley complete his third shift if Wesley and two of his friends are driving cross country nonstop and have agreed to take turns driving in 7-hour shifts option (C) is correct.
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Mary has 20 flowers in 5 vases. How many flowers are there in every vase?
Answers
how to solve this???
Answers
[tex]\large\sf{\sqrt{\frac{1+sin\theta}{1-sin\theta}}+\sqrt{\frac{1-sin\theta}{1+sin\theta}}}[/tex]
[tex]\\[/tex]
[tex]\large \sf{=\frac{\left(\sqrt{1+sin\theta}\right)^{2}+\left(\sqrt{1-sin\theta}\right)^{2}}{\sqrt{(1-sin\theta)(1+sin\theta)}}}[/tex]
[tex]\\[/tex]
[tex]\large\sf{=\frac{1-sin\theta+1+sin\theta}{\sqrt{1^{2}-sin^{2}\theta}}}[/tex]
[tex]\\[/tex]
[tex]\large \sf{=\frac{2}{\sqrt{cos^{2}\theta}}}[/tex]
[tex]\\[/tex]
[tex]\large\sf{= \frac{2}{cos\theta}}[/tex]
[tex]\\[/tex]
[tex]\large\sf{= 2sec\theta}[/tex]
[tex]\\[/tex]
[tex]\large\sf{=RHS}[/tex]
Therefore,
[tex]\large\sf\red{\sqrt{\frac{1+sin\theta}{1-sin\theta}}+\sqrt{\frac{1-sin\theta}{1+sin\theta}}=2sec\theta}[/tex]
x2 - x - 42
a=?
b=?
C=?
help me
Answers
Step-by-step explanation:
thr standard form for a quadratic equation is:
ax²+bx+c
in this example, a=1, b=(-1), c=(-42)
Solve the following system of equations. (Hint: Use the quadratic formula.)
f(x)=2x^(2)-3x-10
g(x)=-3x^(2)+20
Answers
The solutions to the system of equation f(x) and g(x) are [tex]\frac{3+\sqrt{89}}{4} \ or \ \frac{3-\sqrt{89}}{4}[/tex] and
[tex]\frac{2\sqrt{15}}{3} \ or \ \frac{-2\sqrt{15}}{3}\\[/tex]
Solving quadratic equationsQuadratic equations are equations that has a leading degree of 2. Given the following functions:
f(x)=2x^(2)-3x-10
g(x)=-3x^(2)+20
To solve, we will use the quadratic formula as shown below;
[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
For the quadratic equation f(x)=2x^(2)-3x-10
a = 2
b = -3
c = -10
Substitute
[tex]x=\frac{-(-3)\pm \sqrt{(-3)^2-4(2)(-10)}}{2(2)}\\x=\frac{3\pm\sqrt{89}}{4}\\x= \frac{3+\sqrt{89}}{4} \ or \ \frac{3-\sqrt{89}}{4}[/tex]
For the quadratic equation -3x² + 20
a =-3
b = 0
c = 20
[tex]x=\frac{0\pm \sqrt{(0)^2-4(-3)(20)}}{2(-3)}\\x=\frac{\pm4\sqrt{15}}{-6}\\x=\frac{2\sqrt{15}}{3} \ or \ \frac{-2\sqrt{15}}{3}\\[/tex]
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The function y=x²-4x+8 approximates the height, y, of a bird, and its horizontal distance, x, as it flies from one
fence post to another. All distances are in feet. Complete the square to find and interpret the extreme value
(vertex).
Select two answers: one extreme value and one interpretation.
Height (feet)
Distance (feet)
A. When the bird is 4 feet away from the first fence post, it reaches its minimum height of 8 feet.
B. Minimum at (4,8)
C. When the bird is 2 feet away from the first fence post, it reaches its minimum height of 4 feet.
D. Minimum at (2,4)
Answers
When the bird is 2 feet away from the first fence post, it reaches its minimum height of 4 feet , Minimum at (2,4)
Therefore Option C and D is the correct answer.
What is a Quadratic Function?The equation for a quadratic function is given by
y = a(x-h)² +k²
where (h,k) is the extreme value(vertex).
Here the equation given is
y = x²-4x +8
y = x²-4x+4+4
y = (x-2)² +4
Here the value of a = 1 , h = 2 and k = 4
The extreme value is at (2,4)
Therefore When the bird is 2 feet away from the first fence post, it reaches its minimum height of 4 feet , Minimum at (2,4)
Therefore Option C and D is the correct answer.
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A business rents cars for $100 a day and vans for $200 a day. One day, it rented a total of 22 vehicles
and made a total of $2900. What is a possible number of cars and vans it rented that day?
Answers
Answer:
Vans - 7
Cars - 15
Step-by-step explanation:
$200 * 7 = $1400
$100 * 15 = $1500
$1400 + $1500 = $2900
Factor the expression below.
36x² - 49
A. (6x + 7)(6x - 7)
B. (4x-7)(9x - 7)
C. (4x+7) (9x-7)
D. (6x-7)(6x-7)
Answers
Answer:
A. (6x + 7)(6x - 7)
Step-by-step explanation:
use difference of squares, which says a^2 - b^2 =(a+b)(a-b)
take the square roots of the two numbers, 6x and 7, and use them as a and b
_______________ is the value of the best alternative given up when a choice is made.
Answers
Please hit the thanks button :)
12. Last month, a store sold a total of 182 pairs of jeans and shorts. The
number of shorts sold was 28 fewer than twice the number of jeans sold.
How many pairs of jeans were sold?
C. 105
A 51
D. 112
B. 70
Answers
Answer:
B. 70
Explanation:
A total of 182 pairs of jeans and shorts were sold and the number of shorts sold was 28 fewer than twice the number of jeans. This can be expressed with j being the number of jeans as:
j2 - 28 = number of shorts
As the number of shorts is 28 lower than twice the number of jeans, this means it can not be C or D, as these numbers are larger than 182 when doubled. The process of elimination can be done with the remaining using our equation.
51(2) - 28 = 102 - 28 = 74
70(2) - 28 = 140 - 28 = 112
Now that we have the number of shorts sold by using the equation, we can add them with what number was used as their number of jeans.
74 + 51 = 125
112 + 70 = 182
So the number of jeans sold is B. 70.
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
write and solve a proportion to complete the statement. Round to the nearest hundredth if necessary.
1. 6km ≈ ?mi
2. 2.5 L≈ ?gal
3. 90lb ≈ ?kg
pls help
Answers
1. 6 km ≈ 3.73 mi
2. 2.5 L ≈ .66 gal
3. 90 lb ≈ 40.82 kg
Which equation represents this number sentence?
Three less than one-fifth of a number is 28.
3−15n=28
15n−3=28
(3−15)n=28
(15−3)n=28
Answers
The equation that represents this number sentence is 1/5n - 3 = 28
Translating word problemsLet the unknown number be "n". One-fifth of a number is expressed as 1/5n
Three less than one-fifth of a number is expressed as 1/5n - 3
Finally, if three less than one-fifth of a number is equal to 28, then the final expression will be 1/5n - 3 = 28
The equation that represents this number sentence is 1/5n - 3 = 28
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How would i work this out?
Answers
there some visits already recorded before 12:30. These visits are visits that you want to exclude but are included in the TOTAL visits
Before 12:30 the website has 1200 visits and at 6:45 the website has 14000.
You can do 14000-1200 to find the number of visits in the time frame between 12:30 and 6:45
ANSWER 12800 visits
On a map of scale 1:20000 the area of a forest is 50cm^2.On another map the area of the forest is 8cm^2.Find the scale of the second map.
Answers
Answer:
The answer is 1: 50000... If you look down here↓:
Step-by-step explanation:
With a scale of 1:20000, a unit length on the map represents a length of 20000. So 1 cm^2 = 1 cm* 1 cm which represents 20000*20000 cm^2 will be = 4*10^8 cm^2.
50 cm^2 represents that 4*50*10^8 cm^2 = 200* 10^8 cm^2.
Now, on the other hand, the map has the same. 200* 10^8 is represented by 8 cm^2. So the scale is sqrt [ 200* 10^8 / 8 ] = sqrt [ 25* 10^8 ] = 5* 10^4 = 50000.
Therefore the scale on the second map is 1: 50000.
Carol measured a straw and wrote down how long it was in inches. pete multiplied carol's straw length by and cut a straw to be that many inches long. joe multiplied carol's straw length by and cut a straw to be that many inches long. which straw belongs to whom?
Answers
Answer:
pete
Step-by-step explanation:
i think its pete???
80
Select the correct answer.
4
What is the solution to the equation?
5√x + 7 = -2
OA -39
OB. -17
OC 25
OD. no solution
Answers
Answer:
38 is the correct solution
