For the function g(x) = 10 VX-2, what is the inverse function?
o pr}(X) = 7+2
O q'(x) = -2
O 0760) = (+)+2
O 011(x) = (+) --
Answer:
[tex]g'(x) = \frac{x^2}{100} +2[/tex]
Step-by-step explanation:
Given
[tex]g(x) = 10\sqrt{x - 2[/tex]
Required
Determine the inverse function
[tex]g(x) = 10\sqrt{x - 2[/tex]
Replace g(x) with y
[tex]y = 10\sqrt{x -2[/tex]
Swap the positions of x and y
[tex]x = 10\sqrt{y -2[/tex]
Divide through by 10
[tex]\frac{x}{10} = \sqrt{y - 2[/tex]
Square of both sides
[tex]\frac{x^2}{100} = y - 2[/tex]
Make y the subject
[tex]y = \frac{x^2}{100} +2[/tex]
Replace y with g'(x)
[tex]g'(x) = \frac{x^2}{100} +2[/tex]
Hence, the inverse function is: [tex]g'(x) = \frac{x^2}{100} +2[/tex]
Find the area of the circle
Answer:
49 is the area for the circle
Quick!! Find the area of the composite figure
Answer:
560 sq ft
Step-by-step explanation:
Let's start with the rectangle
20 x 24 =
2(24) * 10 =
48 * 10 = 480
Now the triangle
8 x 1/2(20 = 8x10 = 80
480 + 80 = 560 sq ft
If my answer is incorrect, pls correct me!
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math question plzz help i’ll give you brainliest
Answer:
C: 3^0 = 1
Step-by-step explanation:
When dividing two exponents with the same bases, you subtract them
2-2 = 0
so: 3^0 which equals 1
For this specific question there's an even easier way
dividing a number by itself is always gives 1 so it has to be C
I'll add a photo of the problem!
Answer:
its d
Step-by-step explanation:
the number 30 is not listed in the problem there that is info that is not there
Solve using the substitution method:
6x + y =15
4x + 3y = 31
Answer:
the answers to this are x= 1 and y= 9
A 12 foot ladder leans against a building. The angle of elevation from the ground to the foot of the ladder is 46°. Find, to the nearest tenth of a foot, how far is the foot of the ladder from the building
Answer:
8.3 ft
Step-by-step explanation:
Hypotenuse is the longest side
Opposite is the side opposite the angle
Adjacent is the remaining side
Draw the triangle out, and you'll find that the hypotenuse (length of ladder) is 12ft, and that you are looking for the adjacent side (length of the foot of the ladder to the building). Rule out the opposite side (side of building) as it is not needed. The appropriate trigonometric formula is then the [tex]cos(angle) = \frac{adjacent}{hypotenuse}[/tex], rearranged to find the adjacent side is [tex]adjacent = cos(angle)*hypotenuse[/tex]
substitute the values in and you get cos(46) x 12 = 8.335900446
What is the y-intercept of the given function?
f(x) = -(x+2)^3(x-4)
Answer:
Step-by-step explanation:
The y-intercept is the value of the function when x=0.
f(0) = -(0+2)³(0-4) = -(2³)(-4) = 32
For what value of x is a parallelogram ABCD a rectangle
Answer:
A) 7
Step-by-step explanation:
x + 5 = 2x - 2
7 + 5 = 2(7) - 2
12 = 12
Answer:
a is your answer
Step-by-step explanation:
A baby fish was 1.5 centimeters in length when it first hatched . The fish grew at a rate of 0.25 centimeter per week.
Which graph best shows this relationship between the length of the fish in centimeters , y, and the time in weeks, x?
If you think about I would suggest B only because it makes more sense but I might be wrong..
Hope this helped a little!
The solution is Option A.
The equation of line is y = 0.25x + 1.5 , where the slope m = 0.25
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
The initial length of the baby fish is b = 1.5 cm
The baby fish grew at a rate of 0.25 centimeter per week
So , the slope of the line m = 0.25 cm
And , equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
Substituting the values in the equation , we get
y = 0.25x + 1.5 be equation (1)
Hence , the equation of line is y = 0.25x + 1.5
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Determine whether the point (7,4) is on the circle, or inside or outside the circle x^2+y^2=62
Answer:
Outside.
Step-by-step explanation:
7^2 + 4^2 = 62
65 does not equal 62 so outside of the circle.
The spinner below is spun twice what is the probability of the arrow landing on a three and then on an odd number
Answer:
1/3
Step-by-step explanation:
Since there is 3 sections it could land anywhere
Answer:1/3
Step-by-step explanation:
(-
1
2
-1
3
) (-
1
4
-1
5
-1
6
)
Answer:
1125
Step-by-step explanation:
(-12-13)(-14-15-16)
-25*-45=1125
hope this helps you
Answer:
1125
Step-by-step explanation:
(-12-13) (-14-15-16)= 1125
Need the answer fast
Answer:
97
Step-by-step explanation:
hope this helps :)
377?.378f5885246799448855
Answer:
Wwhatwhatwhatwhatwhat
Step-by-step explanation:
Answer:
What?
Step-by-step explanation:
You must have smacked your keyboard
377?.378f5885246799448855
Find the interquartile range of the following data set 3,9,12,4,6,40,25,14,10
When solving a quadratic using factoring, does it matter if the first x solution is on the left or right side? And same for the second x? In the answer
Answer:
it is either way, you can put x on the left side or the right side. Just make sure your signs are correct
A rectangular playing field at a scale of 1:1000, 100m
Answer:
0.1
Step-by-step explanation:
1cm:1000cm
100m=10000cm
so if 1cm=1000cm what about 10000cm
=0.1
Fill in values for the table using the function
Answer/Step-by-step explanation:
Given:
f(x) = -3x + 4
✔️First row, find x when f(x) = 4:
Substitute f(x) = 4 into the equation
4 = -3x + 4
4 - 4 = -3x
0 = -3x
Divide both sides by -3
0/-3 = x
x = 0
✔️ Second row, find f(x) when x = -1:
Substitute x = -1 into the equation
f(-1) = -3(-1) + 4
f(-1) = 3 + 4
f(-1) = 7
✔️ Third row, find f(x) when x = 1:
Substitute x = 1 into the equation
f(1) = -3(1) + 4
f(1) = -3 + 4
f(1) = 1
✔️ Fourth row, find x when f(x) = 9:
Substitute f(x) = 9 into the equation
9 = -3x + 4
9 - 4 = -3x
5 = -3x
Divide both sides by -3
5/-3 = x
x = -⁵/3
whats the absolute value of 23
Answer:
-23
Step-by-step explanation:
There are twice as many girls as there are boys in the chess club. If there are 18 girls in the club, how many boys are in the club?
I mark brainliest by today
add 8 and 17, double the sum, and then subtract three
Answer:
Hello There!!
Step-by-step explanation:
The answer is 47 as (18+7)×2-3=47.
hope this helps,have a great day!!
~Pinky~
An expression is defined as a set of numbers, variables, and mathematical operations. The solution for the statement "add 8 and 17, double the sum, and then subtract three" is 47.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The solution for the statement "add 8 and 17, double the sum, and then subtract three" can be done as,
2(8+17) - 3
= 47
Hence, The solution for the statement "add 8 and 17, double the sum, and then subtract three" is 47.
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Find 64.9% of 77. Round to the nearest tenth.
Complete the equation of this circle :
Answer:
-2 , 4 , 36Step-by-step explanation:
[tex](x - -2)^{2} + (y - 4)^{2}[/tex]
[tex](x + 2)^{2} + (y - 4)^{2} =36[/tex]
The equation of the circle with a radius of 6 and center (-3, 4) is (x + 3)² + (y - 4)² = 36.
The equation of a circle with radius r and center (h, k) is given by:
(x - h)² + (y - k)² = r²
Radius (r) = 6
Center (h, k) = (-3, 4)
Plugging these values into the equation, we have:
(x - (-3))² + (y - 4)² = 6²
(x + 3)² + (y - 4)² = 36
Therefore, the equation of the circle with a radius of 6 and center (-3, 4) is (x + 3)² + (y - 4)² = 36.
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HELP!!!!!!!!!!!!!!!!!!!!!!
Answer:
I cant see the pic
Step-by-step explanation:
Answer: 12
Step-by-step explanation:
Use the distributive property to write an equivalent expression
2(5b - 1)
A. 25b - 1
B. 10b - 1
C. 10b + 2
D. 10b - 2
Choose The Correct Answer.
Answer:
D. 10b - 2
Step-by-step explanation:
The 2 distributes to the 5b and the -1. So it's 2*5b + 2*(-1) = 10b - 2
The area of a triangle is 36 m2 and the height is 9 m. What is the length of the corresponding base?
Answer:
base = 8 m
Step-by-step explanation:
base = (2* area) ÷ height
[tex]= \frac{2*36}{9}[/tex]
= 2 * 4
= 8 m
Need help with this
Answer:
Step-by-step explanation:
8
WILL MAKE BRAINLIEST
write the slope intercept form of the equation of each line
Answer:
1) D) y = 2x+3
2) B) y = -3/2(x)-5
Step-by-step explanation:
log 3x^2y fully expanded
Answer:
6xy
Step-by-step explanation: