Answers
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.
Related Questions
if a load of bread cost 25 cents two years ago, how much does it cost now?
Answers
Answer:.80
p-by-step explanation:
After 3 hours of of driving, Paul had gone 183 miles. What was his average rate of speed? Explain your answer.
Answers
Answer:
it's 61 mph bc when you divide 183 by 3 you get 61 which is how fast he was going
Step-by-step explanation:
Answer:
His average speed is 61
Step-by-step explanation:
183 divided by 3 is 61 which equals one hour of driving
At an electronics store, a smart phone is on sale for 35% off the original price of $679. If you use the store credit card, you can receive an additional 15% off the sale price. What is the final price of the smart phone if you use the store credit car
Answers
Answer:
The final price of the smart phone if you use the store credit card is $339.5
Step-by-step explanation:
Given;
original price of the smart phone = $679
initial discount = 35%
additional discount if you use the store credit card = 15%
total discount of the smart phone if you use the store credit card
= 35% + 15% = 50%
The final price of the smart phone, if you use the store credit card is given as;
P = 0.5 X $679
P = $339.5
Therefore, the final price of the smart phone if you use the store credit card is $339.5
The line of symmetry of the shape is shown by a dotted line.
Complete the drawing of the shape and
then rotate it by 180° about the origin
Answers
Answer:
hard to go without a graph see explanation
Step-by-step explanation:
from each point, count har far away it is from the dotted mirror line and then count that many in the opposite direction.
for example, the spikey point at the bottom is 3 units below the mirror line so count 3 units above the mirror line and that is where other point will be
(4x^2-9)/(2x^2-9x+9) / (2x+3)/(4x^2-12x)
Answers
Answer:
I attached images that should help
Answer:
2x-3
______
8x³•(x-3)
Step-by-step explanation:
LET ME EXPLAIN, THAT HOW I GET THE ANSWER
STEP 1
((4•(x2))-9)
———————————————— ÷ (2x+3) ÷ (22x2-12x)
(((2•(x2))-9)+9)
STEP 2
((4•(x2))-9)
———————————— ÷ (2x+3) ÷ (4x2-12x)
((2x2-9)+9)
STEP 3
(22x2 - 9)
—————————— ÷ (2x + 3) ÷ (4x2 - 12x)
2x2
STEP 4
4x2 - 9
Simplify ———————
2x2
MY EXPLANATION THAT HOW TO GET THE SQUARE:
Trying to factor as a Difference of Squares:
4.1 Factoring: 4x2 - 9
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 4 is the square of 2
Check : 9 is the square of 3
Check : x2 is the square of x1
Factorization is : (2x + 3) • (2x - 3)
4.2 Attempting Polynomial Long Division
Attempted Long division of
2x + 3
By :
2x2
Was aborted due to the followinf reason :
Divisor bigger than Dividend
THIS IS THE CONTINUATION OF MY ANSWER:
Equation at the end of step 4
(2x + 3) • (2x - 3)
——————————————————— ÷ (2x + 3) ÷ (4x2 - 12x)
2x2
STEP 5
(2x+3)•(2x-3)
Divide ————————————— by 2x+3
2x2
Canceling Out :
5.1 Cancel out (2x + 3) which appears on both sides of the fraction line.
Equation at the end of step 5
(2x - 3)
———————— ÷ (4x2 - 12x)
2x2
STEP 6
2x-3
Divide ———— by 4x2-12x
2x2
STEP 7
Pulling out like terms
7.1 Pull out like factors :
4x2 - 12x = 4x • (x - 3)
Multiplying exponential expressions :
7.2 x2 multiplied by x1 = x(2 + 1) = x3
This is the final ans:
2x - 3
—————————————
8x3 • (x - 3)
Jessica is awake 2/3 of the day. She spends 5/8 of this time at home.
a) What fraction of the day is Jessica
awake at home?
b) How many hours is Jessica awake at
home?
Answers
(a) She spends 5/12 of the day awake at home
(b) She spends 10 hours awake at home
Answer:
5/12 of the day she is awake
10 hours she is awake at home
Hope this helps!
F(x)=(x+1)(x-3)(x-4)
Determine the number of x-intercepts that appear on a graph of each function
Answers
Answer:
here
Step-by-step explanation:
I also send the graph
if you want to expand i can write that too
Answer:
3
Step-by-step explanation:
just did it
My problem is #2 but I am confused on how to draw it.
Answers
An isosceles triangle is a triangle with 2 equal sides and 1 un equal side. So just draw a triangle with those measurements.
As you can see in the picture the triangles has two equal sides so it’s isosceles.
Hope this helps :D
Select the equation which represents the graph.
Question 2 options:
A: y + 3 =− 4/5(x − 2)
B: y + 3 =− 5/4(x − 2)
C: y + 1 =− 4/5(x − 3)
D: y + 1 =− 5/4(x − 3)
Answers
The amount of oil used in four different recipes is shown in the table. Recipe Oil Bread 2/8 cup Cookies 1/3 cup Cake 1/5 cup Pie 1/7 cup Which recipe uses the most oil? bread cookies cake pie
Answers
Answer:
cookie
Step-by-step explanation:
Answer: I think that the answer is cookies.
Step-by-step explanation:
The least common denominator for the fractions would be 840.
Bread: 2/8 x 105/105 = 210/840
Pie: 1/7 x 120/120 = 120/840
Cookies: 1/3 x 280/280 = 280/840
Cake: 1/5 x 168/168 = 168/840
Least to greatest:
120/840, 168/840, 210/840, 280/840
That is how I know that the cookies use the most oil.
I got this information from Calculator Soup so this isn’t all of my information.
HI GUYS, PLEASE HELP ME FOR THE ALGEBRAIC EXPRESSOIN 6x=yx2+5
Answers
Step-by-step explanation:
6x=2x+5
6x-2x=5
4x=5
4x/4=5/4
X=1.25
Jennifer earns $7.60 per hour working after school. She wants to buy a musical instrument and she needs at least $500. Write an inequality that describes how many hours she must work to buy the instrument.
Answers
Answer:
[tex]7.6h\geq 500[/tex]
Step-by-step explanation:
h is the number of hours worked.
Maths question.
Solve
4(x - 1) = 2(6 - 2x)
Answers
4x - 4 = 12 - 4x
8x = 16
X = 2
Answer:
x = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
4(x - 1) = 2(6 - 2x)
Step 2: Solve for x
Distribute: 4x - 4 = 12 - 4xAdd 4x on both sides: 8x - 4 = 12Add 4 to both sides: 8x = 16Divide 8 on both sides: x = 2Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 4(2 - 1) = 2(6 - 2(2))Multiply: 4(2 - 1) = 2(6 - 4)Subtract: 4(1) = 2(2)Multiply: 4 = 4Here we see that 4 does indeed equal 4.
∴ x = 2 is a solution of the equation.
Maria made some purchses at the Sunflower Market. She bought strawberries for $3.50, carrots for $2.25 and a bouquet of flowers for $9.95. If Maria uses a 20% coupon and has to pay 5.5% tax, how much will she pay in total? (Round your answer to the nearest hundredth)
Answers
Answer:
$13.25
Step-by-step explanation:
First you add everything up to get you to $15.70, then the 20% is changed to .2 which you then multiply 15.70 by .2 giving you 3.14. You then take 15.70 minus 3.14 which then gets you to 12.56. Then you take the tax of 5.5% and times $12.56 by it, giving you 69 cents, as your tax. Add those together to get 13.25, and then your finished.
Answer:
$13.25
Step-by-step explanation:
First let's add together the cost of all the items Maria bought:
3.50 + 2.25 + 9.95 = 15.70
The total cost of all the items without a coupon or tax is $15.70.
If Maria uses a 20% coupon, the value of the total cost will be 80% of its original value. So, multiply 15.7 by 0.8 to find the cost after the coupon:
15.7 * 0.8 = 12.56
The new total cost is 12.56. Now we need to find the sales tax. Multiply 12.56 by 0.055 to find the value of the sales tax:
12.56 * 0.055 = 0.6908
0.6908 rounds to 0.69. Add the cost of the sales tax to the total cost to get the final answer:
12.56 + 0.69 = 13.25
The total cost Maria will pay is $13.25
Hope this helps :)
6(1/4b+10) +4(9/10b+3)
Answers
Answer:
75.2
Step-by-step explanation:
6(1/4b+10) + 4(9/10b+3)
6/4b + 60 + 36/10b + 12
3/2b + 60 + 12/5b + 12
3/2b + 12/5b + 60 + 12
5b × 3 + 2b × 12/ 5b × 2b + 72
15b + 24b/10b + 72
39b/10b + 72
3.2 + 72 = 75.2
When you solve an equation and you end with a TRUE STATEMENT, the solution set will be:
Answers
Answer:
false
Step-by-step explanation:
Answer:
equal
Step-by-step explanation:
3(x+2)=3x+6
3x+6=3x+6
-3x -3x
6=6
While training for a race, Andre’s dad ran 12 miles in 75 minutes on a treadmill. If he runs at that rate:
How long would it take him to run 8 miles?
How far could he run in 30 minutes?
Answers
Answer:
The answer to this is 41
Step-by-step explanation:
8x4 - 28 is 0 so you have add it and them realize that's not the answer
In the diagram below,AB is the diameter of the circle with centre P.Point C lies on the y-axis.Given the coordinates of A and B are (-6,3) and (2,-3) respectively ,calculate
a)the coordinates of P
b)radius of the circle
c)the coordinates of C
d)the area of the circle in term of
[tex]\pi[/tex]
Answers
Answer:
The coordinates of P are (-2,0)
The radius of the circle is 5.
Step-by-step explanation:
Analytic geometry
The diagram shows a circle with center P, and two points A(-6,3) and B(2,-3) that form the diameter of the circle.
a)
The center of the circle lies at the midpoint of A and B. The midpoint (xm,ym) can be calculated by:
[tex]\displaystyle x_m=\frac{x_1+x_2}{2}[/tex]
[tex]\displaystyle y_m=\frac{y_1+y_2}{2}[/tex]
Substituting x1=-6, x2=2, y1=3, y2=-3:
[tex]\displaystyle x_m=\frac{-6+2}{2}=\frac{-4}{2}=-2[/tex]
[tex]\displaystyle y_m=\frac{3-3}{2}=0[/tex]
Thus, the coordinates of P are (-2,0)
b) The radius of the circle is the distance from the center to any point in its circumference. We can use the distance from P to A or B indistinctly.
Given two points A(x1,y1) and P(x2,y2), the distance between them is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substituting x1=-6, x2=-2, y1=3, y2=0:
[tex]r=\sqrt{(-2+6)^2+(0-3)^2}[/tex]
[tex]r=\sqrt{4^2+(-3)^2}[/tex]
[tex]r=\sqrt{16+9}=\sqrt{25}=5[/tex]
The radius of the circle is 5.
pls answer I give brainliest
Answers
Answer:
16.67
166.7
1667
16670
Step-by-step explanation:
Any number to the zeroth power is 1, so the first one is 1 x 16.67, which equals to 16.67
10 to the first power is just 10, so multiply 10 x 16.67 for the second one. This equals 166.7
10 to the second power is 10 x 10 or 100, so multiply 100 x 16.67, which is 1667.
10 to the third power is 10 x 10 x 10 or 1000, so multiply 1000 x 16.67, which is 16670.
Basically, for each one, starting with 10 to the first power, move the decimal to the right one place.
Help!!!!!!!!!!!!!!!!
Answers
Answer:
I believe it would take 2 hours.
Step-by-step explanation:
Im insanly sorry if im wrong. Have a good day and good luck!
What equation in slope intercept form represents the line that passes through the two point? (6.9,5.9), (10.9,-2.1)
Answers
Answer:
y = 2x + b
I dont know what b is but the slope is 2 I think
Write a multiplication equation AND a division equation to represent this statement. * There are 12 fourths in 3.
Answers
Multiplication: 12* 1/4= 3
The equation in multiplication form and division will be equal to 12/3 = 4 and 12 × 1/4 = 3.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the given information in the question,
The given statement is: There are 12-fourths in 3.
The statement in division form will be,
= 12/3 =4
The statement in multiplication form,
Multiplication: 12 × 1/4 = 3
To know more about arithmetic operations:
https://brainly.com/question/13585407
#SPJ5
5r-8.53 whenr =12 and s =4
Answers
Answer:
where is s. it's not in the equation you sent
Someone pls add me as their friend quick
Pls Pls Pls
All my points
Answers
Answer:
Ok ig
Step-by-step explanation:
Answer:
Ok ill add u as a friend
Step-by-step explanation:
but why?
Triangle ABC has vertices A(-3, -5), B(0, 4), and C(2, 5).
Which statement about triangle ABC is true?
A. Since two of the sides have slopes that are negative reciprocals, it is a right triangle.
B. Since two of the sides are congruent, it is a right triangle.
C. Since none of the sides have slopes that are negative reciprocals, it is not a right triangle.
D. Since none of the sides are congruent, it is not a right triangle.
Answers
Answer:
D. Since none of the sides are congruent, it is not a right triangle.
Step-by-step explanation:
This is the weirdest triangle I've ever seen.
Since none of the sides have slopes that are negative reciprocals, it is not a right triangle. Therefore, option C is the correct answer.
The given triangle ABC has vertices A(-3, -5), B(0, 4) and C(2, 5).
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)
Here, slope of AB is
m= (4+5)/(0+3)
= 3
Slope of BC is
m= (5-4)/(2-0)
= 1/2
= 0.5
Slope of CA is
m= (5+3)/(2+3)
= 8/5
= 1.6
Since none of the sides have slopes that are negative reciprocals, it is not a right triangle. Therefore, option C is the correct answer.
To learn more about the slope of a line visit:
https://brainly.com/question/14511992.
#SPJ2
what is the measure of <ABD
Answers
Alexander was given a gift card for a coffee shop. Each morning, alexander uses the card to buy one cup of coffee. Each cup of coffee costs $1.50 and after buying 4 cups of coffee , the card had a $9 remaining balance. Write an equation for A in terms of x
Answers
Answer:
A = (cost per cup of coffee * number of cups) + balance
$15
Step-by-step explanation:
Given that :
Cost per cup of coffee = $1.50
Number of cups purchased = 4
Balance on card = $9
Let A = worth of gift card
A = (cost per cup of coffee * number of cups) + balance
A = (1.50 * 4) + 9
A = 6 + 9
A = $15
what is the solution set of the above question ?
Answers
Answer:
The solution set is { } or ∅ ⇒ empty set
Step-by-step explanation:
∵ 2x + 10 < 10
→ Subtract 10 from the two sides of the inequality
∵ 2x + 10 - 10 < 10 - 10
∴ 2x < 0
→ Divide both sides by 2
∴ [tex]\frac{2x}{2}[/tex] < [tex]\frac{0}{2}[/tex]
∴ x < 0
∴ The solutions are all the negative numbers
∵ x ∈ N
∵ N is the set of Natural numbers
→ The natural numbers start at 1 and include all positive whole numbers
∴ N = {1, 2, 3, 4, 5, ..............}
∵ N does not contain any negative numbers
∴ The solution set is an empty set ⇒ ∅
∴ The solution set is { } or ∅
HELP PLEASEEE...Naming Your Solution When you are asked to name your solution if you have one... that means. When you have ONE solution, what's the ordered pair where your lines cross?
Answers
Answer:
It means that you need to state whether there are any solutions and how many there are. For example if the equation ends up with an answer like 2=5 there is no solution because 2 does not equal 5. if the equation ends up with an answer of 0=0 there is infinitely many solutions because 0 does equal 0. if it comes out as x=9 there is one solution because x only has one answer to (keep in mind these are just examples)
Step-by-step explanation:
The order pair would be where the two lines intersect perpendicularly with each other forming a 90° angle
Kyle's fencing team is selling calendars to raise money. They earn $0.40 On each calendar they sell. Their goal is to earn more than $327. Write and solve an inequality to find the least number of calendars they can sell and still reach their goal.
Answers
Answer:
818
Step-by-step explanation:
Amount earned per calendar = $0.40
Target amount = > $327
Least number of calendars they can sell ;
(Number of calendars * amount earned per calendar) > 327
Let number of calendars = x
0.40x > 327
x > 327/0.40
x > 817.5
Least Number of calendars they can sell is 818