Answer:
[tex]g^{-1}(x) =(\frac{x}{10})^{5} +2[/tex]
Step-by-step explanation:
So we have the function [tex]g(x)=10\sqrt[5]{x-2}[/tex]. To find the inverse, we first set the function equal to y:
[tex]y=10\sqrt[5]{x-2}[/tex]
Then, we switch all the y and x variables, like this:
[tex]x=10\sqrt[5]{y-2}[/tex]
Now, we solve for y to find the inverse function:
[tex]x=10\sqrt[5]{y-2}[/tex]
[tex]\frac{x}{10} =\sqrt[5]{y-2}[/tex]
[tex](\frac{x}{10})^{5} =y-2[/tex]
[tex](\frac{x}{10})^{5} +2=y[/tex]
[tex]y=(\frac{x}{10})^{5} +2[/tex]
[tex]g^{-1}(x) =(\frac{x}{10})^{5} +2[/tex]
Solve for x: −4x+6(6−2x)=−7x−36
Answer:
x = 8
Step-by-step explanation:
-4x + 6(6 - 2x) = -7x - 36
-4x + 36 - 12x = -7x - 36
-16x + 36 = -7x - 36
+36 +36
-16x + 72 = -7x
+16x +16x
72 = 9x
divide by 9
x = 8
Angela is following this recipe to make biscuits.
Angela uses 1.65 L of syrup.
How much margarine is needed in kg?
Recipe: Makes 14 biscuits
110 g margarine
150 g sugar
275 mL syrup
220 g oats
60 g sultanas
Answer:
6.6
Step-by-step explanation:
275 ml = 0.275L
1,65/0.275=6
110*6=660g
6,6kg
Using a directrix of y = −2 and a focus of (2, 6), what quadratic function is created?
Answer:
f(x) = [tex]\frac{1}{16}[/tex] (x - 2)² + 2
Step-by-step explanation:
From any point (x, y ) on the parabola the focus and the directrix are equidistant.
Using the distance formula
[tex]\sqrt{(x-2)^2+(y-6)^2}[/tex] = | y + 2 | ← square both sides
(x - 2)² + (y - 6)² = (y + 2)² ← subtract (y + 2)² from both sides
(x - 2)² + (y - 6)² - (y + 2)² = 0 ← subtract (x - 2)² from both sides
(y - 6)² - (y + 2)² = - (x - 2)² ← expand left side using FOIL and simplify
y² - 12y + 36 - y² - 4y - 4 = - (x - 2)²
- 16y + 32 = - (x - 2)² ← subtract 32 from both sides
- 16y = - (x - 2)² - 32 ← divide all terms by - 16
y = [tex]\frac{1}{16}[/tex] (x - 2)² + 2
If , then what is mto the nearest degree?
Answer:
70 degrees
Step-by-step explanation:
If cosm<A = 342/1000, we are to find the value of a
Take arccos of both sides
cosm<A = 342/1000
cosm<A = .342
arccos(cosm<A) = arccos(0.342)
m<A = arccos(0.342)
m<A = 70 degrees
Hence the measure of m<A is 70 degrees
help click all the questions
Answer:1,grams 2,b 3, id k srry
Step-by-step explanation:
In ΔQRS, the measure of ∠S=90°, QR = 71 feet, and SQ = 50 feet. Find the measure of ∠R to the nearest degree.
Answer:44.767=45
Step-by-step explanation:
sinR=
71
50
R=\sin^{-1}(\frac{50}{71})
R=sin
−1
(
71
50
)
R=44.767\approx 45^{\circ}
R=44.767≈45
∘
Answer:
45
Step-by-step explanation:
HELP ME PLSS ASAP!!
The graph shows the prices of different numbers of bushels of corn at a store in the current year. The table shows the prices of different numbers of bushels of corn at the same store in the previous year.
A graph shows Number of Bushels on x-axis and Price of Corn in dollars on y-axis. The x-axis scale is shown from 0 to 14 at increments of 2, and the y-axis scale is shown from 0 to 98 at increments of 14. A straight line joins the ordered pairs 2, 14 and 4, 28 and 6, 42 and 8, 56 and 10, 70 and 12, 84.
Previous Year
Number of Bushels
Price of Corn (dollars)
2
10
4
20
6
30
8
40
Part A: Describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value. (5 points)
Part B: How many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? Show your work. (5 points)
Answer:
Part A: 8
Part B: $1
Step-by-step explanation:
Part A: We know that 3 bushels is $24, and that rate remains constant, as the graph has a straight line.
Divide both sides by 3 to get 1 bushel=$8.
We can also double check with the other values: 48/6=$8 per bushel, 72/9=$8 per bushel, and so on.
The rate of change is the slope of a line (how much one value changes when the other value does). In this equation, the equation of the line is y=8x, so the slope is 8. Therefore, the rate of change is 8.
Part B: In the previous year, each bushel of corn was 21/3, 42/6, etc., or $7 a bushel. This year, it is $8, so $8-$7=$1
Therefore, the price has increased by $1 this year.
I dont understand the question
Explanation:
If the exponent is negative, then that means we apply the reciprocal. So something like x^(-2) becomes 1/(x^2). A polynomial cannot have a variable in the denominator like this. So we can rule out choices A, B, and D. Choice C is the only thing left. It is a polynomial because the exponent is a positive whole number.
The elevation of a point in a valley is 121 feet below sea level.
Write a signed number to represent this elevation.
Answer:
-121 feet
Step-by-step explanation:
If itś 121 feet below sea level than it would be -121 feet
The signed number -121 represents an elevation of 121 feet below sea level in the context of the valley.
To represent the elevation of a point in a valley that is 121 feet below sea level as a signed number, we can use a negative sign (-) to indicate a position below sea level.
Therefore, the signed number to represent this elevation would be -121. The negative sign (-) indicates that the elevation is below sea level, and the magnitude of the number (121) represents the distance below sea level, which is 121 feet in this case.
In summary, the signed number -121 represents an elevation of 121 feet below sea level in the context of the valley.
To know more about elevation click here :
https://brainly.com/question/481548
#SPJ2
cost of 5 pens is RS 10 what is the cost of one pen
Answer:
Rs 2
Step-by-step explanation:
5 pen =Rs 10
1 pen = 10÷2
=Rs 2
How do you solve Slope Intercept
Answer:
Rise over Run
Step-by-step explanation:
Start to count up and count across the graph so like
^ then ——>
|
Find the area of the circle/please anyone :)
On the math test, Beth got 7 fewer correct answers than Bill. Bill got 28 questions right. How many answers did Beth get right on the math test?
Which of the equations below represents this situation?
A b + 7 = 28
B 7 + 28 = b
C b - 7 = 28
Answer:
C which is b-7=28
Btw I just had a question like this on a test yesterday and I got it right
what is the circumference if the radious is 20
Answer:
125.6
Step-by-step explanation:
Circumference = 2 x pi x r (radius)
= 2 x 3.14 x 20
= 125.6
Answer: 120
Step-by-step explanation: 20x3x2
20x3=60
60x2=120
The base of an isosceles triangle is 24cm and its area is 192 sq.cm . Find its perimeter
Answer:AB = AC since the given triangle is isosceles. Area = 192 sq.cm. = 64 cm. Hence the perimeter of triangle is 64 cm.
Step-by-step explanation:
please help me i really need it
Answer:
Step-by-step explanation:
There is nothing more to do than read the answers
Slope: the number in front of x which is 3/5y intercept: pure number on the right 6If 12 cups of pineapple juice are used with 20 cups of orange juice, will the recipe taste the same?
Explain your reasoning,
Answer:
No, It will not taste the same
Step-by-step explanation:
12 cups of pineapple juice should be mixed with 15 cups of Orange juice
2x²-26x+84 (Factor COMPLETELY)
[tex]\tt{} {2x}^{2} - 26x + 84[/tex]
[tex]\tt{}2 {(x}^{2} - 13x + 42)[/tex]
[tex]\tt{}2 {(x}^{2} - 6x - 7x + 42)[/tex]
[tex]\tt{}2( x \times (x - 6) - 7(x - 6))[/tex]
[tex]\tt{}2(x - 6) \times (x - 7)[/tex]
10x + 4y = 20
13x - 4y = -66
What does x and y equal?
Answer: (-2, 10)
Explanation: Since one equation has a +4y and the other equation has
a -4y, when we add the equations together, the y's will cancel out.
So we have 23x = -46 and x = -2.
To find y, plug -2 back in for x in either of the two original equations.
I've chosen to plug -2 into the first equation to get 10(-2) + 4y = 20.
Solving from here, y = 10.
So our final answer is the ordered pair (-2, 10).
Now, check your answer.
What is b-2 = - 12
Ill give brainlist!
Answer:
-14
Step-by-step explanation:
-14 - 2 = - 12
Are you asking for what is B?
Cause B= -14
-14-2 = -12
I forgot when you subtract a negative from a negative number it turns into additionnnn T-T
HELP!!! I need an equation
Answer:
2.7 pounds
Step-by-step explanation:
...............
pls help with this question
Answer: first answer choice
Step-by-step explanation:
In PQR, Q = 76, PQ = 18, and QR = 27
Can you help me with 5!
Answer:
The answer is
m<p =66°21'14"
m<R =37°38'46"
PR =28,6
Step-by-step explanation:
[tex] {pr}^{2} = {18}^{2} + {27}^{2} - 2 \times 18 \times 27 \cos(76) = 817.85 \\ pr = 28.6 \\ \cos(p) = \frac{ {18}^{2} + {28.6}^{2} - { {27}^{2} } }{2 \times 18 \times 28.6 } = 0.4 \\ m < p = 66.42 \\ m < r = 180 - 76 - 66.42 = 37.58[/tex]
The following rectangular pyramid has a height of 2 units and a volume of 18 cubic units. The oblique rectangular prism has a congruent base and the same height, and its slant height is 3 units.
What is the volume of the prism?
(Choice A)
A
6 cubic units
(Choice B)
B
18 cubic units
(Choice C)
C
36 cubic units
(Choice D)
D
54 cubic units
Answer: 54 cubic units
Step-by-step explanation:
I did it on khan academy and I got it right
Answer:
54 cubic units picture for proof below
Step-by-step explanation:
Use the figure to determine the relationship between the measures of the SM
and MR.
Answer:
The measure of SM is less than the measure of MR.
Step-by-step explanation:
The side opposite the larger angle is larger than the side opposite the shorter angle.
ALGEBRAIC EXPRESSION, FACTORIZATION AND IDENTITIES... pls help me in this...
Answer:
I solved question number 8.
a) p= 9
b) p = 17
I solved number 9 but I'm not sure about it
i) 119
ii) 14165
solve this pls
+5x > x + 4
Answer:
+5×>×+4 =
collect like terms
5x-x>4
4x>4
therefore
x>1
What is an equation in point-slope form of the line that passes through the point (1,−5) and (−5,−6)
HELPPPP
Answer:
y + 5 = ¹/₆(x - 1)Step-by-step explanation:
The slope of a line passing through two given points: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
(1, -5) ⇒ x₁ = 1 , y₁ = -5
(-5, -6) ⇒ x₂ = -5 , y₂ = -6
[tex]m=\dfrac{-6+5}{-5-1}=\dfrac{-1}{-6}=\dfrac16[/tex]
Point-slope form of equation of a line with givem slope m and passing through point (x₁, y₁): [tex]y-y_1=m(x-x_1)[/tex]
(1, -5) ⇒ x₁ = 1 , y₁ = -5
Therefore:
[tex]y-(-5)=\frac16(x-1)\\\\\underline{y+5=\frac16(x-1)}[/tex]
Find the length of BC, in simplest radical form.
-2x + 4 >
1 (given)
-2x>
اما الا
- 3 (Subtraction Property)
3x > -3 (Subtraction property
-X <-6 (Multiplication property)
x > 6 (7)
What is the missing reason?
A)
Division Property
B)
Reflexive Property
C)
Transitive Property
D)
Additive Inverse Property
Answer:
Division property
Step-by-step explanation: