Consider this function.
h(x) = (x - 2)^2+3
Which of the following domain restrictions would enable h(x) to have an inverse function?
a. x < 1
b. x ＞5
c. x < 3
d. x > 4
(Ps: all four answer and larger equal then or smaller equal then
Answers
Answer:
No inverse function: (a), (b), (c)
Inverse function exists: (d)
Step-by-step explanation:
The graph of h(x) = (x - 2)^2 + 3 is a parabola that opens upward and has vertex at (2, 3). If the entire graph is drawn, and the horizontal line test then applied, h(x) would not have an inverse, because the horizontal line would intersect the parabolic graph twice.
Note that if we restricted the domain to x ≥ 2, the resulting graph would pass the horizontal line test. This would also be true for x ≥ 3, x ≥ 4, and so on. Not so for (a) x < 1. False for x > -5. True for x < 3. True for x > 4.
No inverse function: (a), (b), (c)
Inverse function exists: (d)
Related Questions
solve the median of 4,5,3,4,3,1
Answers
Answer:
arrange them in order = 1,3,3,4,4,5
then cancel them slowly from both side = 3,3,4,4
until u find a single number or two number.
for two number which is same as this do (3+4)/2 which is 7/2 = 3.5
Step-by-step explanation:
4,5,3,4,3,1 (n = 6)
[tex] \\ \tt median = \frac{n + 1}{2} [/tex]
[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{6 + 1}{2} [/tex]
[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{7}{2} [/tex]
[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.5[/tex]
Which equation represents a line which is parallel to y = 0?
A) y = 3
B) x = -8
C) y = x - 1
D) x = 4y
Answers
Answer:
y=3
Step-by-step explanation:
Horizontal Lines
consider the expression
[tex] \sqrt{a^{2} + 12 } + |b| [/tex]
when a = -2 and b= 14. what is the value of the expression?
show work
Answers
Answer:
18
Step-by-step explanation:
[tex]\sqrt{((-2)^2 + 12)} + 14[/tex]
= [tex]\sqrt{(4 + 12)} + 14[/tex]
= [tex]\sqrt{16}+14[/tex]
= 4 + 14
= 18
Hope this helps!
Answer:
[tex] \sf 18[/tex]
Step-by-step explanation:
[tex] \sf = \sqrt{ { - 2}^{2} + 12} + |14| [/tex]
[tex] \sf = \sqrt{(( - 2) \times ( - 2)) + 12} + 14[/tex]
[tex] \sf = \sqrt{4 + 12} + 14[/tex]
[tex] \sf = \sqrt{16} + 14[/tex]
[tex] \sf = \sqrt{ {4}^{2} } + 14[/tex]
[tex] \sf = 4 + 14[/tex]
[tex] \sf = 18[/tex]
In the equation 80 divided by 10=8 the number 80 is the
Answers
Please help meeeeeeeeeeeeee
Answers
Answer:
-47
Step-by-step explanation:
First term in the sequence is given as 30. The common difference (difference between first term and next term) is -7. Since we are looking for the 12th term we can do 30 - (11 * -7) = -47. It's 11 * -7 because we already are given one term in the problem statement.
Help with this problem pls!
Answers
Answer:
uh.. shii i dont know
Step-by-step explanation:
What is the first step in solving this equation?
3(2x + 6) - 4x = 2(5x - 2) + 6
Use the subtraction property of equality to subtract 6 from both sides.
Use the addition property of equality to add 4x to both sides.
Combine the like terms on each side of the equation.
O Use the distributive property on each side of the equation.
Answers
Answer: use distributive property
Step-by-step explanation:
Someone help please
Answers
Answer:
[tex]6^\frac{1}{10}[/tex]
The circumference of a circle is 14.444 miles. What is the circle's diameter?
Answers
Answer:
2.29883
formula
[tex]c = 2 \times \pi \times r[/tex]
solving for (r) radius
[tex]r = \frac{c}{2\pi} = \frac{14.44}{2 \times \pi} [/tex]
= 2.29883
In a math class with 26 students, a test was given the same day that an assignment
was due. There were 17 students who passed the test and 18 students who completed
the assignment. There were 15 students who passed the test and also completed the
assignment. What is the probability that a student who failed the test completed the
homework?
Answers
Answer:
n a math class with 26 students, a test was given the same day that an assignment
was due. There were 17 students who passed the test and 18 students who completed
the assignment. There were 15 students who passed the test and also completed the
Answer:
3/26
Step-by-step explanation:
Form a venn diagram. You can see that there are 3 students who failed the test but completed the homework.
Plz mark as brainliest
WILL GIVE BRAINLIEST
PLEASE HELP
(LINKS/WRONG ANSWERS/WANNA BE FUNNY ANSWERS/NO ANSWERS/. WILL BE REPORTED!!!
Answers
Identify the similar triangles.
ΔHFE=
ΔHFE=
Answers
∆HFE is similar to ∆HFG and ∆ HEG (they all are right triangles and have the same, shape.)
The given triangle ΔHFE is similar to triangle GFH and triangle GHE.
What are similar triangles?Similar triangles are two triangles that have the same shape but may differ in size. They have corresponding angles that are congruent and corresponding sides that are proportional.
Here,
Since triangle HFE is similar to triangle GFH,
∠HEF = ∠GHF,
∠FHE = ∠HGF, and ∠HFE = ∠HFG
Similarly
ΔHFE is similar to triangle ΔGHE.
Similar triangles are useful in many areas of mathematics and in the real world, such as in architecture, engineering, and cartography, where they are used to make scale models of buildings and other structures.
Thus, the given triangle ΔHFE is similar to triangle GFH and triangle GHE.
Learn more about similar triangles here:
https://brainly.com/question/12101336
#SPJ2
hi please help me with part b and can you see if i did a correctly pls?
Answers
a is right its 58
and in my opinion i think b would be 58*5=290 cents, since nickel is worth 5 cents.
but gotta check other people's answers
Simplify.
x2+2x−3/
x−4/
2x2+5x−3/
x^2−16
x2−x−12/2x−3
x2−5x−4/2x−1
x2+3x−4/2x−1
x2+x−12/2x−3
Answers
Answer:
x^2 + 7x- 3/x - 3/x^2 -16
Step-by-step explanation:
Key: ( ^ ) means exponent
= x^2 + 2x- 3/x -2x^2 + 5x- 3/x^2 -16
= x^2 - 2x^2 + 2x+5x - 3/x- 3/x^2 -16
= x^2 - 2x^2 = -x^2
= -x^2 + 2x + 5x- 3/x- 3/x^2-16
As you see you add 2x and the 5x and got 7x
= Answer : x^2 + 7x- 3/x - 3/x^2 -16
Answer:
I think the answer is x^2+3x-4/2x-1
-
How many solutions does the equation 2 + 6(x - 4) = 3x - 18 + 3x have?
A)0
B)1
C)2
D) Infinite
Answers
Answer:
C because it's a quadratic equation and it can be solved by factorization and completing the square method and also general formula
if 5/6 of the 30 motorcycles were new, how many motorcycles were used
Answers
Answer:
5 Motorcycles are used
30÷6= 5
5×5= 25
30-24=5
so the answer is 5
Answer:
5 out of the 30 motorcycles are used
Step-by-step explanation:
First, we should look at what we know. We know that there are 30 motorcycles in total. As a fraction, that'd be 30/30. We also know that of that 30, the equivalent of 5/6 are brand new.
Our next step is to figure out how much 5/6 is out of 30. Since we know that in total there 30/30 motorcycles, we need to convert 5/6 to have a denominator of 30. So what times 6 equals 30.
30 ÷ 6 = ? opposite of 6 x ? = 30
5 divide
So now we now that 6 times 5 equals 30. What we do to the denominator we must do to the numerator.
[tex]\frac{5}{6}[/tex] × [tex]\frac{5}{5}[/tex]
[tex]\frac{25}{30}[/tex]
Now we know that 25 of the 30 motorcycles are new and all we need to do is subtract that 25 from the total 30 to get 5. This tells us that 5 of the total motorcycles are used.
I hope this helped :)
how many yards are there in 2 miles
Answers
Answer: 3520
please give brainliest
Step-by-step explanation:
Answer:
3,520 miles in a Yard.
Step-by-step explanation:
2 √7+3√7
can you guys give me the answer and explanation
Answers
Answer:
5[tex]\sqrt{7}[/tex]
Step-by-step explanation:
This is similar to collecting like term in algebra
2[tex]\sqrt{7}[/tex] + 3[tex]\sqrt{7}[/tex]
= (2 + 3)[tex]\sqrt{7}[/tex]
= 5[tex]\sqrt{7}[/tex]
What number is furthest from 0 on a number line? 16 or 18?
Answers
2 times a number less 4 is 20
Answers
Answer:
68?
Step-by-step explanation:
Answer:
The answer is 8
Step-by-step explanation:
Let the number be x
4x- 12=20 (12 less than 4 times a number is 20)
4x= 20 +12
4x=32
x=8
Hope this helps!!
0.1 x 0.01 x 0.001
ans ???
Answers
________
[tex] \: [/tex]
[tex]0.1 \times 0.01 \times 0.001 = ...[/tex]
[tex] = \frac{1}{10} \times \frac{1}{100} \times \frac{1}{1.000} [/tex]
[tex] = \frac{1}{10 \times 100 \times 1.000} [/tex]
[tex] = \bold{ \frac{1}{1.000.000}} [/tex]
Answer:
[tex]0.1 \times 0.01 \times 0.001 = 0.000001 \\ \\ \\ \\ i \: hope \: it \: is \: helpfull[/tex]
Find the length of the hypotenuse of a right triangle where the perpendicular sides are 3 in. And 4in. In length
Answers
Answer:
5 inches
Step-by-step explanation:
To find the hypotenuse or any side of a right triangle, use the Pythagorean theorem. This is [tex]a^2+b^2=c^2[/tex] where a and b are the perpendicular sides and c is the hypotenuse. So, plugin 3 and 4 for a and b. This gives 9+16=c^2, which is equal to 25=c^2. Then, take the square of both sides to get c=5.
Another way to solve this is to know the triples. Triples are right triangles that have integers for all of their sides. The triple 3,4,5 is the smallest and most common triple.
Find the surface area of a cube
with side length 8.5 cm.
Answers
=========================================================
Explanation:
A cube has 6 identical faces, all of which are squares.
Each square has a side length of 8.5 cm, so its area is (8.5)^2 = 72.25 sq cm.
The overall surface area, aka the area of all 6 faces combined, is 6*72.25 = 433.5 square cm
Answer:
A=433.5cm²
Step-by-step explanation:
A=6a2=6·8.52=433.5cm²
Your above-ground pool has sprung a leak, and you do not have a way to fix it. At 12 noon, the water in the pool is 5 feet deep (in other words, the water level is 5 feet above the ground). You are not sure how quickly the pool level is falling, so you check again after 40 minutes and see that the height of the water level is now feet. You notice that there is a relationship between the time that has passed to the height of the water level in the pool.
Answers
Answer:
Step-by-step explanation:
if there was 200 kids= 100% and 43 of them left what is the percent
Answers
Answer:
It would be 86 as 43% of 200 is 86
Step-by-step explanation:
WILL GIVE BRAINLIEST AND I SWEAR TO GOD IF ONE MORE BOT ANSWERS AND MAKES IT TO WHERE NO ONE ELSE CAN ANSWER
One challenge of federalism is that
power and authority are concentrated in the central government and can take away people’s rights
sometimes officials from different levels of government disagree on who should be in charge of a situation
local governments have the most power, which creates problems for trade with other nations
officials from state governments have too many rules to follow to be effective leaders
Answers
Answer:
local governments have the most power
Step-by-step explanation:
I hope this is right, but federalism gives more power to the state, so local governments could potentially have more power.
Answer:
i believe it is option one: power and authority are concentrated in the central government and can take away people’s rights
Step-by-step explanation: well i mean its true the governments are corrupted and are slowly taking away our rights
3 t-shirts cost £25.95.
How much do 10 t-shirts cost?

Answers
Answer:
£86.50
Step-by-step explanation:
To find how much 10 t-shirts cost we have to find how much they cost individually.
3 T- Shirts / 25.95 = 8.65 which means that each T-Shirt Costs 8.65.
8.65 x 10 T-Shirts = £86.50
I'm timed! can someone please help me solve this problem..
Answers
Answer:
C
Step-by-step explanation:
need help with math
Answers
Ah sorry I got it wrong, dear
Explanation: 1/4 of grape juice as already in the bottle and then a mixture containing orange, grape and apple filled the bottle meaning the mixture was 3/4. If the mixture contained equal amounts of each juice it means 1/3 of each juice was in the mixture so 1/4 plus 1/4(the original amount of grape juice that was in the bottle before the mixture was added) is equal to 2/4 simplify that and you have 1/2
how many miles did Candice bike on her route?
Answers
Answer:
200miles per hour andv50 9
