What are the domain and range of the function f(x)=-3(x-5)2 +4?
domain: (-00, 5)
range: (-00,00)
domain: (-0,4]
range: -00,00)
domain: (-0,5]
range:
(-0,4]
O domain: (-0,00)
range: (-0,4]
Answers
Answers:
Domain is [tex](-\infty, \infty)[/tex]
Range is [tex](-\infty, 4][/tex]
============================================
Explanation:
We can replace x with any real number we want. We don't have any restrictions to worry about since there are no division by zero issues for instance. Also, there isn't any issues of things like taking the square root of a negative number.
Therefore, the domain is the set of all real numbers which translates to the interval notation of [tex](-\infty, \infty)[/tex]
This interval notation can be thought of as [tex]-\infty < x < \infty[/tex]
----------------------------
The range on the other hand isn't the set of all real numbers. It might help to graph this parabola (see below). You should see that the highest point occurs at the vertex (5, 4). This then tells us that the largest y can get is y = 4.
In other words, y = 4 or y can be smaller than this.
In symbols, we would say the range is [tex]y \le 4[/tex] and that translates to the interval notation of [tex](-\infty, 4][/tex]
The curved parenthesis always goes with either infinity. The square bracket says "include the endpoint 4 as part of the interval".
Related Questions
hey, guys, I have a big test today and I did not study for it at all, any help would be much appreciated
Answers
Answer:
the first second and third option are binomials
You walk 1/4 miles to a grocery store. Then you walk another 1/5 miles to a clothing store. How many miles have you walked in all?
Answers
Answer:
3/4 of a mile
Step-by-step explanation:
.5+.25=.75
Solve for x.
2/5 ≤ x-4
Answers
2/5 ≤ x-4
0.4 ≤ x-4
let's just add 4 on both sides
0.4 +4 ≤ x-4 +4
4.4 ≤ x
simple as that. just handle inequalities like you would handle equations
A $108,000 down payment would be? of the purchase price.
Answers
Answer: 45%
Step-by-step explanation:
You need to purchase price to answer this question and I believe that purchase price to be $240,000.
The question wants to know the percentage of the purchase price that the down payment is and to find that out, use the following formula:
= Down payment / Purchase price * 100%
= 108,000 / 240,000 * 100%
= 45%
Answer:
45%
Step-by-step explanation:
.......................
A pizza parlor advertises pizza options. They offer 7 toppings and allow up to 4 on each pizza. Write an expression that represents this situation.
A: 7!
B: 7!/3!
C: 7!/4!3!
D: 4!3!/7!
Answers
Explanation:
This is after using the nCr combination formula
[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]
where in this case n = 7 and r = 4. Note how n-r = 7-4 = 3.
We use nCr instead of nPr because the order of the toppings doesn't matter.
Which answer is it?
Answers
Answer:
C
Step-by-step explanation:
What is the slope of the line
Answers
Answer:
below
Step-by-step explanation:
∆y/∆x
2.3/1.5
= 1.533
PLEASE HELP
Find the range of f(x) = -3x + 2 for the domain {-3, 1, 2,5}.
Answers
Answer:
range = {11,-1,-4,-13}
Step-by-step explanation:
domain is "input" range is "output"
just "plug" {-3, 1, 2,5} into -3x + 2 one at a time
A deep-sea diver must descend and ascend in short steps to equalize pressure on his body. If
the diver rises toward the surface too fast, he may suffer from a physical condition called “the bends.”
Suppose the diver started at 100 feet below the surface and rose in five steps of 15 feet each. Use an integer
to describe his new position in relation to the water surface.
Answers
Answer:
15x=100?
Step-by-step explanation:
this equation would show how many steps it takes to get to the surface sorry if this isnt the answer u wanted
Answer:
-25
Step-by-step explanation:
he rose 75 feet from being under 100 feet of water, making him 25 feet below the water's surface
Suppose Tommy walks from his home at (0, 0) to the mall at (0, 7), and then walks to a movie theater at (5, 7). After leaving the theater Tommy walks to the store at (5, 0) before returning home. If each grid square represents one block, how many blocks does he walk?
Answers
Answer:
24 blocks
Step-by-step explanation:
2(5) + 2(7) = 10 + 14
Help anybody please idem
Answers
Answer:
-64
Step-by-step explanation:
f(x)=-4^x
f(3)=-4^3=-64
Answer:
-64
Step-by-step explanation:
1) Substitute x with 3
-4^3
2) solve
-64
Find the interest rate if £6400 has a final value of £8334 in 3 years. Give your answer to 1 d.p
Answers
Answer:
Step-by-step explanation:
6400(1+i)³=8334
(1+i)³=1.3021875
∛(1+i)³=∛(1.3021875)
1+i= 1.092
i= .092
I guess if you were to round to 1 decimal point it'd be .1
descending order of 2.061,0.66,2.612,6.21,2.62
Answers
Answer:
Step-by-step explanation:
Descending order:
6.21 ; 2.62 ; 2.612 ; 2.061 ; 0.66
First see the whole number. write the number with biggest whole number.
6.21
2) Then three numbers have 2 . So, now compare the tenth place.
Two numbers have same place value 2.62 and 2.612.
Compare the hundredth place value in these two numbers.
So, 2.62
3) 2.612
4) 2.061
5) 0.66 is the smallest
I need these 4 I really don't understand this
Answers
Answer:
6:
[tex] {x}^{2} - 2x - 3 \\ = (x - 3)(x + 1) \\ when \: y = 2 \\ x = 1 \\ vertex \: is \: (1, \: 2)[/tex]
7:
[tex] {x}^{2} = - 625 \\ x = \sqrt{ - 625} \\ x = \sqrt{625} \times \sqrt{ - 1} \\ x = 25 \times \sqrt{ {i}^{2} } \\ x = 25 \times i \\ x = 25i[/tex]
If a line falls on the points (6,22) and (4,21), what is its slope? Enter your answer as a fraction in lowest terms. Use a slash mark (/) as the fraction bar
Answers
Answer:
1/2
Step-by-step explanation:
Since we have two points, we can use the slope formula
m = (y2-y1)/(x2-x1)
= (22-21)/(6-4)
= 1/2
Answer:
slope , m = 1/2
Step-by-step explanation:
We have two points which are ( 6,22) and (4,21).
To find slope , using slope formula
m = ( y² - y¹ ) / ( x ² - x ¹)
Where,
m, is the slope ( y² - y¹ ) = ( 22- 21 ) ( x ² - x ¹) = ( 6 - 4 )Substitute the values into the formula
m = ( 22 - 21 ) / ( 6 - 4 )
m = 1 / 2
Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions
Answers
Answer:
you have to add each
Step-by-step explanation:
Find the value of x
Answers
Answer:
Step-by-step explanation:
1. 56 + 81 = 137
2. The exterior angle theorem means that the 2 angles within a triangle that is on the opposite side of the angle outside the triangle could be added to find the angle that is outside of the triangle.
3. 56 and 81 are on the opposite side of the "x" outside the triangle which means that they could be added together which equals 137 degrees.
Hope this helps!
Answer:
Step-by-step explanation:
solve for X and Y. be sure to solve for both.
Answers
Answer:
x = 48; y = 13
Step-by-step explanation:
20/5 = 52/y
4 = 52/y
4y = 52
y = 13
20/5 = x/12
4 = x/12
x = 4 * 12
x = 48
Answer:
x = 48, y = 13
Step-by-step explanation:
Since they have a pair of verticle angles, this means the triangles are similar. You find a common side (the length 5 and length 20) and you know the ratio, (divide 20 by 5) aka. the larger triangle is 4 times larger than the smaller one. That means the side lengths are also 1/4 scale. So the bigger triangle = 12(length of side)*4(ratio). Also since y is on the smaller triangle, you scale it down by 1/4, so 52 (the side length) / 4 (ratio) is 13. So y = 13, x =48
Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions
Answers
Answer:
1) y=-10x+50 (it's the only negative slope / going down option and it starts at x=0 y=50)
just substitute the x with a 9
y=-10*9 +50
y= -40
2) 0.5x +5 (only positive slop and starting point at x=0 is correctly 5)
we do need to substitute y this time, with 30 obviously
30 = 0.5x +5 |-5
25 = 0.5x | *2
50 = x
3) y=-2x +50 reasoning as before
substitute x with 4
y =-2*4 +50
y = -8 +50
y = 42
Which of the following is equivalent to 16 kilograms?
0.016 grams
0.16 grams
1600 grams
16000 grams
QUICK PLEASE!
Answers
Answer:
16000 grams
Step-by-step explanation:
To change kilograms to grams, multiply by 1000 grams
16 kilograms * 1000g / 1 kg
16*1000 grams
16000 grams
Hope this helps!!!
Have a great day!!!
Pls I need help fast and quick it's urgent!
Answers
Answer:
I might be wrong but I think its the last answer choice.
Step-by-step explanation:
I'm sorry if its wrong :(
A Ferris wheel makes one complete rotation every 4 minutes. How far, the nearest tenth, will a rider who is seated 40 feet from the center travel in 10 minutes?
Answers
Step-by-step explanation:
600 ft
is your answer
I hope it helps
Part 3: Find the inverse function, f –1(x), for the function f (x) = x2 + 10x + 28.
Answers
Answer:
-5+(√x-3) and -(√x-3)-5
Step-by-step explanation:
change f(x) to 'y' and then interchange x and y; then solve for y
y = x² + 10x + 28
x = y² + 10y + 28
you can use the Quadratic Formula to evaluate y² + 10y + 28 and will get:
-5+(√x-3) and -(√x-3)-5
5 mins left!!!!!!!!
Does the residual plot show that the line of best fit is appropriate for the data?
No, the points are in a curved pattern.
No, the points are evenly distributed about the x-axis.
Yes, the points are in a linear pattern.
Yes, the points have no pattern.
Answers
Answer:
No, the points are evenly distributed about the x-axis
Step-by-step explanation:
Hope its right , if not so advance sorry :)
HELP WILL GIVE BRAINLIEST SHOW WORK LOOK AT IMAGE
Answers
Answer: -9/2
Step-by-step explanation:
Answer:
x = -9/2
Step-by-step explanation:
Use the law of exponents
(a^p)^q = a^(pq)
here on the left-hand-side
a=3
p=3
q=2x+6
so
(a^p)^q = (3^3)^(2x+6) = 3^(3(2x+6)) = 3^(6x+18)
The right-hand-side = 3^(2x)
Equate exponents of both sides
6x+18 = 2x
6x-2x = -18
4x = -18
x = -9/2
Solve for x.
2/3 (x − 7) = −2
Answers
The right Answer is:
x = 4
Answer:
x=4
Step-by-step explanation:
2/3 (x − 7) = −2
Multiply each side by 3/2
3/2 *2/3 (x − 7) = −2*3/2
x-7 = -3
Add 7 to each side
x-7+7 = -3+7
x=4
Help plz..And No links!! I repeat No links!!
Answers
Answer:
10 to the 9th power
Step-by-step explanation:
Plz help me I need a correct answer asap
Answers
[tex]\geq[/tex]Answer:
part A--- -9[tex]\geq[/tex]9
Step-by-step explanation:
Answer:
answer -9>9
Step-by-step explanation:
rbfodnddn bdbndndn
From the classroom window, Melissa finds that the angle of elevation to the top of the flagpole is 22 degrees. Her teacher tells them that they are approximately 18 feet up from the ground and that the flagpole is 50 feet away from the building. What is the height of the flagpole based on this information to the nearest tenth of a foot?
Answers
Answer:30
Step-by-step explanation:
Show that 0-58200-48826-5 is a valid UPC number.
Answers
Answer:
Proved
Step-by-step explanation:
Given
[tex]UPC = 0-58200-48826-5[/tex]
Required
Show that it is valid
Add up the elements at odd positions
[tex]Odd = 0 + 8 + 0 + 4+8+6[/tex]
[tex]Odd = 26[/tex]
Multiply by 3
[tex]Product = 26 * 3[/tex]
[tex]Product = 78[/tex]
Add up the elements at even positions
[tex]Even = 5 + 2 + 0 + 8 + 2 + 5[/tex]
[tex]Even = 22[/tex]
Add up both results
[tex]Result = 78 +22[/tex]
[tex]Result = 100[/tex]
Take modulus of 10
[tex]Result \% 10 = 100 \% 10[/tex]
[tex]Result \% 10 = 0[/tex]
Since the result of the modulus is 0, then the number is valid