Answers
f(x) = x^2-25
inverse:
y = x^2-25
x = y^2-25
y = sqrt(5 +25)
Answer is B
Related Questions
The minute hand of a clock is 6 inches long. how far does the tip of the minute hand move in 15 minutes? how
Answers
Answer:
The tip of the minute hand moves approximately 37.7 inches in 15 minutes.
Explanation:
To find how far the tip of the minute hand moves in 15 minutes, we can use the formula for the circumference of a circle:
[tex]\[ \text{Circumference} = 2 \pi r \][/tex]
Where:
- [tex]\( r \)[/tex] is the length of the minute hand (radius of the circle).
Given:
- The length of the minute hand, [tex]\( r = 6 \)[/tex] inches.
Substitute the given value into the formula:
[tex]\[ \text{Circumference} = 2 \pi \times 6 \][/tex]
[tex]\[ \text{Circumference} = 12 \pi \][/tex]
So, the tip of the minute hand moves a distance of [tex]\( 12 \pi \)[/tex] inches in 15 minutes.
To approximate this value:
[tex]\[ 12 \pi \approx 37.7 \][/tex] inches (rounded to one decimal place).
If a polygon has 5 sides is it a regular pentagon
Answers
Write an equation of the line that has a slope of 3 and contains the point (2,5) in point-slope form.
Answers
y - y1 = m(x-x1)
where m is the slope and (x1,y1) is the point the line goes through
The slope is 3, so let's replace m with 3
y - y1 = m(x-x1)
y - y1 = 3(x-x1)
The given point is (2,5) so let's replace x1 with 2 and y1 with 5
y - y1 = 3(x-x1)
y - y1 = 3(x-2)
y - 5 = 3(x-2)
Answer: y-5 = 3(x-2)
−3 1/3 ÷ 9..........help
Answers
-10/3 / 9 = -10/3 * 1/9 = -10/27
If Maria earned $60 in interest over a 4-year period at a 4% simple annual interest rate, how much did she originally deposit in savings?
A.
$160
B.
$320
C.
$375
D.
$800
Answers
This may not be right but its what i think the answer is.
Good Luck!
Answer:
the answer is c} 375
What is the length of BC, rounded to the nearest tenth?
A. 13.0 units
B. 28.8 units
C. 31.2 units
D. 33.8 units
Answers
Answer:
Option C. [tex]BC=31.2\ units[/tex]
Step-by-step explanation:
step 1
In the right triangle ABD find the length side AB
Applying the Pythagoras Theorem
[tex]AB^{2}=5^{2}+12^{2}[/tex]
[tex]AB^{2}=169[/tex]
[tex]AB=13\ units[/tex]
step 2
In the right triangle ABD
we know that
[tex]m<ABD=m<BCD[/tex]
[tex]sin(<ABD)=\frac{5}{13}[/tex] -------> equation A
step 3
In the right triangle ABC
[tex]sin(<BCD)=\frac{13}{5+DC}[/tex] ------> equation B
Remember that
[tex]m<ABD=m<BCD[/tex]
so equate equation A and equation B solve for DC
[tex]\frac{5}{13}=\frac{13}{5+DC}[/tex]
[tex]5(5+DC)=13*13[/tex]
[tex]25+5DC=169[/tex]
[tex]5DC=169-25[/tex]
[tex]5DC=144[/tex]
[tex]DC=144/5=28.8\ units[/tex]
step 4
In the right triangle BDC find the length side BC
Applying the Pythagoras Theorem
[tex]BC^{2}=28.8^{2}+12^{2}[/tex]
[tex]BC^{2}=973.44[/tex]
[tex]BC=31.2\ units[/tex]
Luis starts at one corner of a square field and walks 80 feet along one side to another corner of the field. He turns 90° and walks 60 feet, and then walks straight back to where he started.
What is the area of the part of the field he walked around?
A.
140 ft²
B.
280 ft²
C.
320 ft²
D.
2400 ft²
Answers
1/2 x 80 x 60 = 2400 square feet was the area
enter the coordinates of the point (−5, 1) after a 180° rotation about the origin. ( , )
Answers
(5,-1) because it would turn the points to their opposite "charge" and turn the positive to a negative and a negative to a positive
Eight plus the quotient of a number and 3 is -2
Answers
Subtract 8 from both sides
x/3= -10
Multiply both sides by 3
x=-30
Final answer: x=-30
A package of organic strawberries costs $1.50 while they are in season and $2.25 when they aren’t in season what is the percent increase?
Answers
The way I look at it is,
$1.50 multiplied by 1.5 equals $2.25.
I checked this by doing the following,
$1.50 divided by 2 equals $0.75, $0.75 multiplied by 3 is $2.25, I also did,
$2.25 minus $1.50 equals $0.75
Answer:50 percent
Step-by-step explanation:You need to subtract 2.25 and 1.50 and get 0.75 then divide it to 1.5 and 0.5 then convert it into decimal form and its 50%.
Daphne paid $68a month for 2 years for internet service. How much did she pay in total?
Answers
2 years = 24 months
68(24)= 1632
Daphne paid $1,632 in all.
You drive your car for 4.5 hours at an average speed of 70 miles per hour how far did you go
Answers
Answer: 315 miles
I need help with #7 please help
Answers
Since the expression 5x + 350 is the earnings per month, this means E = 5x + 350.
We want the earnings (E) to be "at least 950", which means we want E to be equal to 950 or larger. So we can say
E >= 950
The symbol ">=" without quotes means "greater than or equal to"
Replace the "E" with "5x+350" and solve for x
E >= 950
5x+350 >= 950
5x+350-350 >= 950-350
5x >= 600
5x/5 >= 600/5
x >= 120
So you are close, but the answer is choice C. This means she must sell 120 items or more.
If twenty-four is subtracted from a number, the result is the same as the number divided by nine. What is the number?
Answers
multiply through by 9:-
9x - 216 = x
8x = 216
x = 27 answer
The required number is 27.
What are linear equation?A linear equation only has one or two variables. No variables in a linear equation is raised to power greater than 1 or used as denominator of a fraction.
Let x be the number,
Then
Twenty-four is subtracted from a number = x - 24
and number divided by nine = x/9
Now according to the question,
x - 24 = x/9
Multiplying whole equation by 9 we get,
9x - 216 = x
Adding 216 both the sides we get
9x = x + 216
Substracting x both the side we get
8x = 216
Dividing whole equation by 8 we get
x = 27
which is the required number.
Hence,the required Number is 27.
More about linear equation:
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okay this is the last one i already know how to distribute and such i was just wondering what's my next step
Answers
-2a+32 = -24a-40-2a
-2a+24a+2a = -40-32
24a = -72
a = -3
now distribute
-2a + 32 = -24a - 40 - 2a
Now we combine like numbers on the right side
-2a + 32 = -26a + 40
now subtract the 40 from the right and subtract it from the 32 on the left
-2a -8 = -26a
and finally add 2a to both sides
-8 = -24a
And SOLVE(simplify)
Help please thanks...............
Answers
A math class containing 57 students was divided into two sections one section has three more students than the other how many students were in each section
Answers
3+x+x=57
3+2x=57
2x=57-3
2x=54
x=54/2
x=27
so the first section has 27 students and the second section has 30 students
Determine which package of laundry soap is the better buy: 65 ounces for 6.99 of 120 ounces of 12.99
Answers
6.99/65 = 0.107
120 oz for 12.99..
12.99 / 120 = 0.108
well...if u rounded them, they would cost the same.....but actually, 65 oz is about 1/1000 cheaper....I would probably say they cost about the same because I dont think that 1/1000 difference is gonna make that much of a difference
the columns in any data table represent __________ in a controlled experiment. a variables b controls
Answers
Answer:
A) Variables
A) Independent
A) X
Step-by-step explanation:
If ray BD bisects angle CBE, ray BC is transparent to ray BA, angle CBD = (3x + 25) degrees, and angle DBE = (7x - 19) degrees, find angle ABD
Answers
Answer: The required measure of angle ABD is 148°.
Step-by-step explanation: Given that ray BD bisects angle CBE, ray BC is transparent to ray BA.
Also,
[tex]m\angle CBD=(3x+25)^\circ,~~m\angle DBE=(7x-19)^\circ,~~m\angle ABC=90^\circ.[/tex]
We are to find the measure of angle ABD.
Since ray BD bisects angle CBE, so we have
[tex]m\angle CBD=m\angle DBE\\\\\Rightarrow (3x+25)^\circ=(7x-19)^\circ\\\\\Rightarrow 3x+25=7x-19\\\\\Rightarrow 7x-3x=25+19\\\\\Rightarrow 4x=44\\\\\Rightarrow x=\dfrac{44}{4}\\\\\Rightarrow x=11.[/tex]
So, we get
[tex]m\angle CBD=(3\times11+25)^\circ=58^\circ.[/tex]
Therefore,
[tex]m\angle ABD=m\angle ABC+m\angle CBD=90^\circ+58^\circ=148^\circ.[/tex]
Thus, the required measure of angle ABD is 148°.
Which choice (s) when rounded to the nearest hundred thousand will result in 600,000?
Answers
So in this example it would be 100,000 because 4 wouldn't make the 1 turn to 2.
Hope that helps. :3
if f (x) =15x-7 then f^-1(x)=
Answers
So, we need to find the inverse of the function f(x) = 15x - 7.
To start, we must turn the f(x) into a y.
y = 15x - 7.
Now, we swap all the x variables for the y variables, and swap all the y variables for the x variables!
x = 15y - 7.
Now, we simply must work on isolating y. Assuming you know how to isolate a variable, we must do the steps below -
x = 15y - 7.
Add 7 on both sides.
x + 7 = 15y - 7 + 7.
We cannot add x and 7, as they are not like terms. So, they will remain like that, while the 7 on the right side of the equation is eliminated.
x + 7 = 15y.
Now we are going to divide both sides by 15, thus leaving y by itself.
[tex] \frac{x + 7}{15} [/tex] = 15y / 15.
Since we cannot divide the left side of the equation by 15, it will remain as such. With the y variable completely isolated, our final inverse function will be:
[tex] f^{1}(x)[/tex] = [tex] \frac{x + 7}{15} [/tex].
Hopefully, this helps! =)
For the function f (x) = 15x - 7, the value of f ⁻¹ (x) is,
⇒ f ⁻¹ (x) = (x + 7) / 15
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function is,
⇒ f (x) = 15x - 7
Now, We can find the inverse of f (x) as;
⇒ f (x) = 15x - 7
Substitute y = f (x),
⇒ y = 15x - 7
Solve for x;
⇒ y + 7 = 15x
⇒ x = (y + 7) / 15
Hence, We get;
⇒ f ⁻¹ (x) = (x + 7) / 15
Thus, The inverse function is,
⇒ f ⁻¹ (x) = (x + 7) / 15
Learn more about the function visit:
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Which graph represents the solution set of the system of inequalities?
{y<2/3x
y≥−x+2
Answers
y≥−x+2
It's the last graph
Answer:
Last graph is the answer.
Step-by-step explanation:
The inequalities are y < [tex]\frac{2}{3}x[/tex] and y ≥ -x + 2
Now first inequality y < [tex]\frac{2}{3}x[/tex] will represent a dotted line passing through origin and a point (3, 2)
This inequality will be in the form a dotted line and shaded area will be below the line.
Second inequality is y ≥ -x + 2
Line representing the inequality will be solid in shape and shaded area will be above this line.
Common shaded area of both the inequalities matches with the last option.
Therefore, Last option (second row last figure) will be the answer.
Five times the sum of a number and 4 is -15
Answers
Distribute
5x+20=-15
Subtract 20 from both sides
5x=-35
Divide both sides by 5
x=-7
Final answer: The number is -7
Solve for x 3(2x-1)=9
Answers
6x -3= 9 add 3
6x= 12 divide by 6
x= 2
The magnitude, M, of an earthquake is defined to be M=log I/S, where I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and S is the intensity of a “standard” earthquake, which is barely detectable. What is the magnitude of an earthquake that is 35 times more intense than a standard earthquake? Use a calculator. Round your answer to the nearest tenth.
Answers
log(35) = 1.544
rounded to nearest tenth = 1.5
Answer: The magnitude of the earthquake that is 35 times more intense than a standard earthquake=1.5
Step-by-step explanation:
Given : The magnitude M of an earthquake is defined to be [tex]M=\log \frac{I}{S}[/tex]---(1)
, where I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and
S is the intensity of a “standard” earthquake, which is barely detectable.
If the magnitude of an earthquake that is 35 times more intense than a standard earthquake
⇒Intensity of earthquake I=35 S
Substitute the value of I in (1), we get [tex]M=\log(\frac{35S}{S})=\log(35)=\log(5\times7)=1.544068[/tex] [tex]\approx1.5[/tex]
∴ The magnitude of the earthquake that is 35 times more intense than a standard earthquake=1.5
Error analysis a studinet write the word phrase the quotient of n and 5" to describe the expression 5/n describe and correct the students error
Answers
Final answer:
The student made an error in describing the expression 5/n as "the quotient of n and 5." The correct phrase to describe this expression would be "the quotient of 5 and n."
Explanation:
The student made an error in describing the expression 5/n as "the quotient of n and 5." The correct phrase to describe this expression would be "the quotient of 5 and n."
When describing division, it is important to remember that the dividend (the number being divided) comes before the divisor (the number dividing the dividend).
What is the value of y?
Enter your answer in the box.
Answers
So, 79 + 37 + x = 180
116 + x = 180
-116 -116
-------------------
x = 64 degrees
To check that you can just add them all together and see if you get 180.
64 + 79 + 37 = 180
79°+37°+?°=180° so you do it backwards.....
180°-79°-37°=64°
Hope this helps :)
is dilated by a scale factor of 3 to form . Point O is the center of dilation, and point O lies on . If the slope of is 3, what can be said about line ?
a.The slope of is 6, but does not pass through O.
b.The slope of is 9, and passes through O.
c.The slope of is 9, but does not pass through O.
d.The slope of is 3, and passes through O.
e.The slope of is 3, but does not pass through O.
Answers
Algebra 2 Will give brainiest
Answers
Here, for h(f(2)), the first one to put in is the one in f, which is 2.
Since f(x) = 3*2^x, and since x here is equal to 2, (because h(f(2)), we can just put in the 2 in place of the x.
3 * 2 ^ 2
And then you get:
3 * 4
Or 12.
So now you have
h(12)
Now do the same thing.
2 * 12 - 7
24 - 7
17