Use the function f (x) = 2x^2 – 5.
(Look at picture)
Answer:
C
Step-by-step explanation:
By the definition of an inverse function, if:
[tex]f(a)=b\text{ then } f^{-1}(b)=a[/tex]
Therefore, the domain of the original function will be the range of the inverse function.
And the range of the original function will be the domain of the inverse function.
We have the original function:
[tex]f(x)=2x^2-5[/tex]
With the domain:
[tex]-\infty<x<\infty[/tex]
Since the domain of the original function is such, then the range of the inverse function is also the same as above.
So, the range of the inverse function is also:
[tex]-\infty< f^{-1}(x)< \infty[/tex]
So, our answer is
C.
Notes:
A, B, and E would automatically be incorrect since we never use ”or equal to” when using the infinity symbol. This is because we can never “equal” infinity.
the question is “ for which point is the y coordinate greater than -3? choose all answers that apply
Answer:
It would be A, C, and D.
Step-by-step explanation:
Jordan is using a number line to model the division expression Negative 24 divided by 12. What should be a step in his work?
Answer:
-24/12= -2
Step-by-step explanation:
Answer:
Its B
Step-by-step explanation:
If I'm wrong please tell me
what is the product of (3a2b7)(5a3b8)
Answer:
5040a^2b^2
Step-by-step explanation:
(3a2b7)(5a3b8)
(42ab)(120ab) multiply everything inside each parenthensis
42ab * 12ab remove parenthesis
5040a^2b^2 multiply
x = 7 - 2y
2x + y = 5
A family has completed 50% of a trip and they have traveled 10 miles. How long is the trip?
Answer: 20 miles? lol
Step-by-step explanation:
THIS IS MY TEST IN GEOMETRY HELP
What is the angle of depression from the start of a 6-foot high access ramp that ends at a point 40 feet away along the ground? Nearest tenth of a degree.
Given:
Height of access ramp = 6 foot
Ramp ends at a point 40 feet away along the ground.
To find:
The angle of depression in nearest tenth of a degree.
Solution:
Using the given information, draw a figure as shown below.
In a right angle triangle,
[tex]\tan \theta = \dfrac{\text{Perpendicular}}{\text{Base}}[/tex]
In triangle ABC,
[tex]\tan \theta=\dfrac{AB}{BC}[/tex]
[tex]\tan \theta=\dfrac{6}{40}[/tex]
[tex]\tan \theta=0.15[/tex]
Taking tan inverse on both sides.
[tex]\theta=\tan^{-1}(0.15)[/tex]
[tex]\theta=8.5307656[/tex]
[tex]\theta \approx 8.5[/tex]
Therefore, the angle of depression is 8.5 degrees.
What is the slope of a line that connects points (5,8) and (10,12)
Answer:
4/5
Step-by-step explanation:
12-8=4
10-5=5
4/5 is the slope
Line g has a slope of–7/3. Line
h is parallel to line g. What
is the slope of line
h?
Answer:
-7/3
Step-by-step explanation:
Since the lines are parallel, the slopes would have to be the same
help me plz
One equation with distributive property
e.) 3(x + 8) = 30
Answer:
x=2
hope it helps !!
Step-by-step explanation:
Which statement describes the sequence −9, −3, 3, 9, 15, …?
Answer:
+6
Step-by-step explanation:
Easy math
Answer:
6+
Step-by-step explanation:
very easy math
E
(5x + 9)
(30-3x)
A
Find the value of angle DFE
Angle BFC=Angle DFA=Angle EFA + Angle DFE
Solve for x, then use substitution for 27+2x
5x+9=30-3x+27+2x
Everything is on the picture
9514 1404 393
Answer:
43°
Step-by-step explanation:
Following the instructions is generally useful.
5x +9 = 30 -3x +27 +2x
6x = 48 . . . . add x-9
x = 8 . . . . . . .divide by 6
27 +2x = 27 +2(8) = 43 . . . . substitute into the expression for angle DFE
angle DFE = 43°
What is the absolute value of -5?
Answer:
The absolute value of -5 is 5. Absolute values are always the opposite of the negative number.
Step-by-step explanation:
Find the area of a triangle if the base is 8.2m and the height is 4.6m.
In order to find an area of a triangle we have to multiply the base by the height.
8.2*4.6=?
So now all we have to do is multiply to find our answer of 37.72!
PLS HELP ME I NEED THIS FASTTT ON SHOW ALL YOUR WORK
List the values for a, b and c in the following quadratic equation.
3x^2 + 6x = 7
Use your preferred method to solve the following quadratic equation for n. Please show ALL work to receive credit.
6n^2-18n -18=6
Use your preferred method to solve the following quadratic equation for n. Please show ALL work to receive credit.
x^2 + 8x = 10
Answer:
I tried my best so I hope this helps :)
(look at the screenshots for the work I don't feel like typing it out)
Step-by-step explanation:
1.) the solution is [tex]x=\frac{-3+\sqrt{30}}{3}\\[/tex], [tex]x=-\frac{3+\sqrt{30}}{3}[/tex]
2.) the solution is [tex]n=4,\:n=-1[/tex]
3.) the solution is [tex]x=-4+\sqrt{26},\:x=-4-\sqrt{26}[/tex]
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.
10 1/2 cups of flour are needed to make 3 loaves of bread. How many cups are needed for 12?
Answer:
42 cups of flour
Step-by-step explanation:
12 is 4 times more than 3 (3 × 4 = 12), so we know that we need 4 times 10 1/2 (equal to 10.5) cups of flour.
All we need to do for this is do 10.5 × 4 = x and solve for x.
10.5 × 4 = 42 cups of flour
Describe the proses for calculating the volume of a cone; use complete sentences.
2. Write an algebraic expression for the total number of minutes in h hours and 20 minutes.
3. Write an algebraic expression for the total number of hours in 2 hours and x minutes.
4. Write an algebraic expression for the total number of hours in y hours and 45 minutes.
Answer:
The expressions are:
2. [tex]60h+20\ minutes[/tex]
3. [tex]2+\frac{x}{60}\ hours[/tex]
4. [tex]y+0.75\ hours[/tex]
Step-by-step explanation:
The given expressions have to be converted into algebraic expressions.
So,
2. Write an algebraic expression for the total number of minutes in h hours and 20 minutes.
Here,
h is a variable that can have any value but the 20 minutes will remain same with any number of hours.
If h is for hour, the number of minutes in h hours will be: [tex]60*h = 60h[/tex]
And there are also 20 minutes so the algebraic expression is:
[tex]60h+20\ minutes[/tex]
3. Write an algebraic expression for the total number of hours in 2 hours and x minutes.
In order to convert minutes into hour, the minutes are divided by 60
So converting x minutes into hour means
[tex]x\ minutes = \frac{x}{60}\ hours[/tex]
There are 2 hours already so the expression will be:
[tex]2+\frac{x}{60}\ hours[/tex]
4. Write an algebraic expression for the total number of hours in y hours and 45 minutes.
Converting 45 minutes to hours by dividing by 60
[tex]45\ minutes = \frac{45}{60}\ hours = 0.75\ hours[/tex]
The expression is:
[tex]y+0.75\ hours[/tex]
Hence,
The expressions are:
2. [tex]60h+20\ minutes[/tex]
3. [tex]2+\frac{x}{60}\ hours[/tex]
4. [tex]y+0.75\ hours[/tex]
When combining like terms how do you know to add or subtract?
Answer:
It’s depends on the sign.
Step-by-step explanation:
For example if your question is 3x+16y-8-7x+8y then the answer would be -4x+24y-8 if they have the same variable look at them as a separate equation.
Answer:
"Like Terms" means that you can add or subtract two terms. For instance, you know that you can add and get 5. You were able to add these two 'terms' ( the '2' and the '3') because they are both numbers! However, you might also know that you cannot 'combine' 2 and x. Since 2 is a number and 'x' is not, they are not like terms.
Basically if its two numbers that are the same, For example (-2x and -4x) and have with the same variables you would add them. If they are like this (5x and -2x) you would subtract them because its a negative and positive number and get ( 3x).
Hope i helped!!!!
DE is parallel to AC. Find the measure of angle x and z. Explain how you know.
Answer:
x= 67 degrees and z= 54 degrees
Step-by-step explanation:
Using alternative interior angle, you can see that x is equal to 67 degrees
-In a triangle, there is 180 degrees. Since there are 59 degrees and 67 degrees in the triangle, you will just need to solve for z.
-In order to solve for z, you subtract 180-59-67= 54
Hope this helps!
Please do quick
Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating.
20% tip on a bill of $59.82
Answer:
$12
Explanation: 60 x .2= 12 + 60= $72
will give brainliest
Answer:
p and q are parallel to each other and l, m, and n are all parallel
Step-by-step explanation:
because it tells us they make right angles we know all the lines are going straight therefor they will not intersect with each other
can someone please answer this for me ?
Answer:
y = 13Step-by-step explanation:
Line PRN = 180 = 6y - 14 + 90 + 2y
180 - 90 + 14 = 6y + 2y
104 = 8y
y = 104 / 8
y = 13
A boat can travel at an average speed of 10 miles per hour in still water. Traveling with the current, it can travel 6 miles in the same amount of time it takes to travel 4 miles upstream....Use the ratio T= D/R to construct a rational equation that can be solved for x to find the speed of the current..... Whats the answer? Please answer as soon as possible...
Answer: The speed of the current is 2 miles per hour.
Step-by-step explanation:
We know that the speed of the boat is:
S = 10 mph.
When the boat travels with the current, the speed will be:
S = 10mph + x
where x = speed of the current.
When the boat travels against the current, the speed will be:
S = 10mph - x
Now, for a given amount of time T, when the boat travels with the current, it moves a distance of 6 miles.
Then we have the equation:
(10mph + x)*T = 6mi
And against the current, in the same time the boat moves 4 mi, then:
(10 mph - x)*T = 4mi
Then we have the system of equations:
(10mph + x)*T = 6mi
(10 mph - x)*T = 4mi
Now, we can take the quotient of these two equations and get:
((10mph + x)*T)/((10 mph - x)*T) = (6mi/4mi)
(10mph + x)/(10 mph - x) = 3/2
Now we can solve this for x.
(10mph + x) = (3/2)*(10 mph - x)
10mph + x = (3/2)*10mph - (3/2)*x
x + (3/2)*x = (3/2)*10mph - 10mph
(5/2)*x = (1/2)*10mph = 5mph
x = (2/5)*5mph = 2mph.
The speed of the current is 2 miles per hour.
Answer:
[tex]\frac{6}{10+6}=\frac{4}{10-x}[/tex]
Step-by-step explanation:
For plato
Write a word phrase for -5 - 4n
Answer: four times a number subtracted by -5
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!!!!!!!
Use the value of y (y=4) for part b to correctly find the measures of AX and BD and list each step for each.
Use the figure below:
Answer:
So BD= 2*(y+4) -> 2*(4+4) = 16
and AX is the same lenght as BX so: AX = y+4 -> 4+4 = 8
Step-by-step explanation:
hope that helped
rename 4/5 and 5/7 using the least common denominator
Answer:
wh
Step-by-step explanation:
Answer:
4/5 = 28/35 and 5/7 = 25/35
Explanation:
Multiply 5 times 7 to get 35, then multiply 4 times 7 for the numerator of the first fraction and 5 times 5 for the numerator of the second equation.
consider function g.
which function could be the inverse of function g?
A.
B.
C.
D.
Answer:
D
Step-by-step explanation:
Here, we want to select which of the options that could actually be the inverse of function g
The function that could actually be an inverse is that function in which we have a reversal of values
What we mean in this case is that the x values take up the f(x) values while the f(x) values take up the x values
With respect to this question, the option that fits this description is;
Option D
Answer: For Plato users
Step-by-step explanation:
The correct answer is B .
Just flip the x and y
Write an equation for the line in slope- intercept form. 2. Х -4 -2 o 2 4. -2 4
Answer:
y= -2x-3
Step-by-step explanation:
this is because the y intercept is at negative 3 and the rise over run is down 1 over 2
Now helpp!
Practice dividing with decimals.
Assignment
Divide: 83.5 + 6.25
The first step in solving 83.5 = 6.25 is to multiply the divisor and dividend by
The new division problem is
Step-by-step explanation:
Multiply both by 100 (same number of 0s as the most decimals places in either of the starting numbers.)
so you get 8350/625
then it's normal from there