Step-by-step explanation:
[tex]y = 16 {x}^{2} + 1 \\ \\ y - 1 = 16 {x}^{2} \\ \\ \frac{y - 1}{16} = {x}^{2} \\ \\ \pm \sqrt{ \frac{y - 1}{16} } = x \\ \\ x = \pm \frac{ \sqrt{y - 1} }{4} \\ \: this \: is \: the \: required \: inverse \: \\ equation \: of \: y = 16 {x}^{2} + 1[/tex]
The equation that represents the inverse of y = 16x² + 1 is y = ±√[(x - 1)/16]
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let us find the inverse of the equation y = 16x² + 1.
To find inverse we need to replace y with x and x with y in the original equation to obtain:
x = 16y² + 1
Now solve for y in terms of x by rearranging the terms
x - 1 = 16y²
Divide both sides by 16
y² = (x - 1)/16
Take square root on both sides.
y = ±√[(x - 1)/16]
Therefore, the equation that represents the inverse of y = 16x^2 + 1 is:
y = ±√[(x - 1)/16]
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ7
Jonathan forgot his math homework on the kitchen table and left for school without it. He biked at the speed of 15 mph. His mother saw the homework when he was already 1 mile from home, and started chasing him. She drove at a speed of 25 mph and caught him at the school entrance. How far is the school from Jonathan's home?
Answer:
The school is 1.5 miles away from Jonathan's home
Step-by-step explanation:
Let D be the distance remaining after 1 mile
We are given that He biked at the speed of 15 mph. His mother saw the homework when he was already 1 mile from home, and started chasing him. She drove at a speed of 25 mph and caught him at the school entrance.
So, Time taken to cover D distance by Son is equal to the time taken by mother from home to school entrance(D+1) since she caught him at school entrance
Speed of Jonathan bike = 15 mph
Speed of Mother's bike = 25 mph
So, [tex]\frac{D}{15}=\frac{D+1}{25}[/tex]
25D=15D+15
10D=15
D=1.5
So, the school is 1.5 miles away from Jonathan's home
Evaluate 2√2/(√2-√3)
What happends if you get a brainliest?
Answer:
it is needed to reach some ranks
Step-by-step explanation:
can I get brain liest?
The choir and band at Thomas Junior high's sold cookie dough for their fundraiser The choir sold the cookie dough for $2 per bucket and decided to spend $4 on material to make posters for advertising.the band sold the cookie dough for $3 per bucket but did not advertise for many bucket of cookie dough, x, would both clubs have the same profit?
Answer:
no.
Step-by-step explanation:
1st shape has a 4 2nd shape has a 6 pls help-T T
I don’t know how to do this-
Answer:
2.5
Step-by-step explanation:
because you can tell by the numbers and how close they are then u have to divide
Q3. Kylie sits two maths test. She scores 19/25 in the first one, and 16/20 in the second one.
Which test has she done better in?
Answer: Kylie did better in the second one than she did in the first one
Step-by-step explanation:
If you do 19 divided by 25 you will get 0.76 so she got a 76% on the first test. Then if you do 16 divided by 20 you will get 0.8 so she got a 80% on the second test.
Convert to a decimal rounded to the nearest hundredth: 8/11
Answer:
.72 and on going
Step-by-step explanation:
Point S is the _ of UT?
Answer:
VStep-by-step explanation:
SV is correct because it is the same
length of UT. You can check by using
your fingers to check the length of
UT then turn the picture around to
see if it is equal.
Hope this helps! <3
Answer:
S is the midpoint of UT
Step-by-step explanation:
US = ST -----> from the picture
So, S is the mid point
please answer the question hurry up get 25 point
Answer:
[tex]x = - 1.[/tex]
Step-by-step explanation:
[tex] {2}^{x} = \frac{1}{2} \\ {2}^{x} = {2}^{ - 1} \\ x = - 1.[/tex]
♨Rage♨
Step-by-step explanation:
Hey there!
Given;
[tex] {2}^{x} = \frac{1}{2} [/tex]
We know that (1/2) can be written as 2^-1. So, it will be;
[tex] {2}^{x} = {2}^{ - 1} [/tex]
Looking on both sides we find that both have same base. So,
x = -1
(Note: While solving the exponential equation you must make base same by simplifying them and then equate the power)
Hope it helps...
can someone who KNOWS WHAT theyre doing and is good at angles please help
m1=51
m2=18
m3=123
m4=39
***remember the 180 rule, and supplementary/complementary angles!
180 rule: all triangle's internal angles add up to 180, this means if you know any two angles you can always find the last one
supplementary angles:
angles that add up to 180, 180 is a straight line so they can be found on almost all triangle problems.
if there is a straight line and you know one of the angles that is on the line, you can find the other one by subtracting it from 180
complementary angles:
same thing ^ but with 90
i hope my explanations make sense! let me know if you have any more questions :)
rachelle can walk 2.5 miles in 40 minutes. at this rate how far
can she walk in an hour
Answer:
She could walk 3.75 miles in an hour.
How many terms are there in the following expression: 3a+3ab+7b-4d?
Answer:
3
Step-by-step explanation:
no need for 6AM and sons to know what u should be a good job of the first day and sons and peele is the only one who is the only person in this one who
Answer:
There are 4 terms.
Step-by-step explanation:
3a
3ab
7b
4d
g(t) = -4t + 2; Find g(6)
Answer:
g(6)=-22
Step-by-step explanation:
g(6)=-4(6)+2
g(6)=-24+2
g(6)=-22
Melissa shot a rocket 360 meters into the air, it took 4 seconds to fly that far. What’s the average speed of the rocket?
Answer:90meters per second
Step-by-step explanation:
What is the app, oximate value of 8
to the nearest tenth?
Answer:
10
Step-by-step explanation:
All other tens values are too far
Answer:
10
Step-by-step explanation:
A department store buys 200 shirts at a cost of $4,800 and sells them at a selling price of $30
each. Find the percent markup.
Answer:
25%
Thats the answer according to my calculations.
Answer:25%
Step-by-step explanation:
(too lazy too write anything here)
Pls I really need help with this
B is the answer.............
is 9/36 greater than 8/1
Answer:
No it's not
Step-by-step explanation:
The reason is because 8/1 becomes a whole number unlike the other.
What is the measure of angle F?
A. Cannot be determined
B. 65°
C. 55°
D. 75°
Answer:
65 degrees since both opposite sides are 10
Answer:
65 degrees
Step-by-step explanation:
Just took the test
Find the value of x. images attached
Answer:
The answer is option AStep-by-step explanation:
Since it's a right angled triangle we can use trigonometric ratios to find the value of x
To find the value of x we use tan
We have
[tex] \tan(26) = \frac{42}{x} \\ x \tan(26) = 42 \\ x = \frac{42}{ \tan(26) } \\ x = 86.1127613...[/tex]
We have the final answer as
86.113°Hope this helps you
-1/4 multiplied by 1 1/2
Answer:
[tex]-0.375[/tex]
For more help, take a look at this chart.
Whats the answer to this the domain of the function URGENT!!!!!!!!!!!!!
Answer:
I think it's d I'm not sure tho
Answer:
B
Step-by-step explanation:
I'm pritty sure it is B hopefully this helps.
Laura has 30 cupcakes she wants to give each friend 1/6 of her cupcakes how many cupcakes will Each friend get
Answer:
5 cupcakes
Step-by-step explanation:
=1x 30/ 6
=5
I hope it helps
Thank U
Answer:
No Of cup cakes laura has : 30
No of c Cupcakes She wants to give her friends:1/6
Cupcakes each friend got : 30 × 1/6
: 5
There fore Number of cupcakes each friend gets: 5 Cupcakes
Need help (don’t give me inn correct answer and don’t comment if you don’t know)
Answer:
I believe that the answer is number 2
Step-by-step explanation:
what is the answer if u do x=25(x+4)
Answer:
-25 over 6 as a fraction or -4 and 1 over 6 as simplified fraction or 4.16 as a decimal
Step-by-step explanation:
hopefully that helps you
What is the lowest range of the function shown on the graph?
Answer:
C.-2
Step-by-step explanation:
The vertex is at (3,-2), this can find the lowest range because since both sides of the function go up from this point there will be no points beneath it. Since the range is Y value the minimum would be -2 because this is the Y value of the vertex. You can check the graph to prove this because there are not any y-values equal to less than -2.
What is the domain and range for the following function? f(x)=|x-2|+3
Domain: All real numbers. Inequality Notation: -infinity<x<infinity, Interval notation: (-infinity,infinity).
_______
Range: All real numbers greater than or equal to 3. Inequality notation: x ≥ 3, Interval Notation: [3,infinity).
What is the quotient?
(-3)
(-3)2
Og
9
O 9
Answer:
The answer to your problem is negative 9
What is the coordinate of point P on the line segment AB that is 3/4 of the distance from A to B for A(2,5) and B(6,9)?
Answer:
p is (3.71, 6.71)
Step-by-step explanation:
Given that p is at the distance of 3/4 from A to B
it mean that point p divides the line AB into 3:4 ratio.
and
if there are two points (x1,y1) and (x2,y22) which is divided by point p in the ratio m:n then
coordinates of point p (x,y) is given
p (x = (n*x1+m*x2)/m+n , y = (n*y1+m*y2)/m+n )
________________________________________________
Given the points AB
A(2,5)
B(6,9)
m:n = 3:4
thus,
p (x = (4*2+3*6)/7 , y = (4*5+3*9)/7 )
p (x = (4*2+3*6)/7 , y = (4*5+3*9)/7 )
p (x = (26/7 , y = 47/7 )
P ( x = 3.71, y = 6.71)
Thus, coordinates of point p is (3.71, 6.71) which is at 3/4 of the distance from A to B for A(2,5) and B(6,9)/
Given h(x)=-3x-2,solve for x when h(x)=1
Answer:
-5
Step-by-step explanation:
The value of x for the given function h(x)=-3x-2 such that h(x) = 1 will be -1.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
As per the given funciton,h(x) = -3x - 2
For h(x) = 1
1 = -3x - 2
1 + 2 = -3x
3 = -3x
x = -1
Hence "The value of x for the given function h(x)=-3x-2 such that h(x) = 1 will be -1".
For more about the function,
brainly.com/question/23712366
#SPJ2