Answer:
f(x) = -(x-4)^2 + 5
Step-by-step explanation:
The function [tex]f(x) = -(x-4)^2 + 5[/tex] is a quadratic function. Its graph looks like a parabola. The graph has a vertex of (4,5) and opens up downward.
Proving that [tex]f(x) = -(x-4)^2 + 5 \le 5[/tex] for all x:
[tex]x^2 \ge 0 \Rightarrow (x-4)^2 \ge 0 \Rightarrow -(x-4)^2 \le 0 \Rightarrow -(x-4)^2 + 5 \le 5.[/tex]
The function which has a range of {y | y < 5} is f(x) = -(x – 5)² + 4.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given a range of the function, {y | y < 5}.
We want to find the corresponding function.
The range of the function contains all the values less than 5.
For the first two functions, when we substitute x = 4,
The value of the function, f(x) = 5
So this is not possible.
For the third function also, when we substitute any integers other than 5, the value of function is greater than 5.
Hence the correct option is D.
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What is the result when the number 25 is decreased by 20%?
Answer:
20
Step-by-step explanation:
100% - 20% = 80%.
80% of 25 = 25 x 0.8 = 20
When the number 25 is decreased by 20%, the result is 20.
Explanation:To find the result when the number $25 is decreased by 20%, we need to calculate 20% of 25 and subtract that from 25.
20% of 25 is (20/100) x 25 = 5.
Subtracting 5 from 25, we get the result as 20.
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Last year amusement park received 236,758 visitors it was open every day of the year but 7 Holliday’s what was the average number of visitors to the park per day
Answer:
An average of 661 people per day.
Step-by-step explanation:
1. 365-7= 358
2. 236,758/ 358= 661.3351
3. Round to 661
Which is the best first step when solving the following system of equations? X+y=3 4x-y=7
Answer:
Add the two equations together to eliminate y
Step-by-step explanation:
X+y=3
4x-y=7
I would use elimination since one equation has +y and one equation has -y
Add the two equations together
X+y=3
4x-y=7
-------------------
5x = 10
What is the value of b for the following circle in general form?
x^2+y^2+ax+by+c=0
Answer:
a = -2 and b=4 and c = -4
Step-by-step explanation:
the center is : A(1 ; -2)
B(1 ; 1) in this circle so ; AB= r ( ridus)...r =3
note :
an equation of the circle Center at the A(1,-2) and ridus : r is :
(x-1)² +(y+2)² = 3²
x²-2x+1 +y²+4y +4-9 =0
x²+y² -2x+4y -4 = 0 so : a = -2 and b=4 and c = -4
27. A watch cost $75.99. If the sales tax
rate is 6.25%, what is the amount of
sales tax?
A $0.48
B $2.19
C $4.75
D $474.94
Step-by-step explanation:
75.99 ×.0625=4.749
75.99+4.75(because I rounded)=
$80.74 total cost incase you have another step
75.99 ×.0625 = 4.749
I rounded to get 4.75.
75.99 + 4.75 = $80.74
$80.74 - $75.99 = $4.75
Answer: $4.75
Let v=−3i
v
=
−
3
i
and w=2−4i
w
=
2
−
4
i
. Find v−w
v
−
w
.
Answer:
-2 + i
Step-by-step explanation:
v = -3i
w = 2 - 4i
v - w =
= -3i - (2 - 4i)
= -3i - 2 + 4i
= -2 + i
The given value of v = -3i and w = 2-4i, so v-w = -2 + i.
Given: v = -3i, w = 2-4i
To find: v - w
Solution:
Substitute the values of v and w into the expression v - w.
v - w = -3i - (2-4i)
v - w = -3i - 2 + 4i
v - w = -2 + i
Susan is paying $0.30 per $100 on her $483,000 home in homeowners insurance annually. If her annual homeowners insurance premium is divided into twelve equal monthly installments to be included on each of her monthly mortgage payments of $2128.00, what is her total monthly payment? a. $2,248.75 b. $2,409.75 c. $3,381.00 d. $3,577.00 Please select the best answer from the choices provided
Answer:
a) $2248.75
Step-by-step explanation:
Susan pays $0.3 per $100
For $483000, she pays $1449 insurance annually : Calculation shown below
483000/100 x 0.3 = $1449
Monthly instalments of the insurance premium for 12 months :
annual insurance premium/ 12 months
1449/12 = $120.75
Monthly mortgage payments = $2128
Monthly total payments = monthly mortgage payments + monthly insurance premium instalment.
= 1449 + 120.75
= $2248.75
!!
What is a fade out transition? A. A scrolling transition B. A transition that happens in the middle of a frame C. A transition that happens as a frame appears D. A transition that happens as a frame disappears
Answer:
It's between C and D. I would say it's D.
Step-by-step explanation:
Hope my answer has helped you!
By: Syrenity Holford
find (fof)(0) f(x)=x^2
a.1
b.0
c.-8
d.-1
Answer:B
f(0)=0
Step-by-step explanation:
when 0 is squared it’s just 0
Answer: option b.
Step-by-step explanation:
Given the function f(x):
[tex]f(x)=x^2[/tex]
In order to find [tex](fof)(x)[/tex], the first thing you must do is to substitute the function f(x) into the same function f(x). Observe the procedure:
[tex](fof)(x)=(x^2)^2[/tex]
Now, you need to simplify:
[tex](fof)(x)=x^4[/tex]
Finally, to find [tex](fof)(0)[/tex] you need to substitute [tex]x=0[/tex] into [tex](fof)(x)=x^4[/tex], then you get:
[tex](fof)(0)=(0)^4[/tex]
[tex](fof)(0)=0[/tex]
Solve for
5(x + 1) = 4x + 8)
Answer:
x =3
Step-by-step explanation:
5(x + 1) = 4x + 8
Distribute the 5
5x+5 = 4x+8
Subtract 4x from each side
5x-4x+5 = 4x-4x+8
x+5 =8
Subtract 5 from each side
x+5-5 = 8-5
x =3
What is the 8th term of the geometric sequence with this explicit formula?
an= 6.(-2)(n-1)
Answer:
- 768
Step-by-step explanation:
Substitute n = 8 into the explicit formula, that is
[tex]a_{8}[/tex] = 6 × [tex](-2)^{7}[/tex] = 6 × - 128 = - 768
Graph y = -|x| + 2. Click on the graph until the correct one appears.
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]y=-\left|x\right|+2[/tex]
we know that
The graph is inverted V-shaped.
The x-intercepts are the points (-2,0) and (2,0)
The vertex is the point (0,2)
The domain is all real numbers
The range is all real numbers less than or equal to 2
using a graphing tool
The graph in the attached figure
A company makes globes with a radius of 11 inches. The material to make the globes costs the company $0.04 per square inch. To the nearest cent, how much does the company pay for the material to create one globe? Use 3.14 for pi.
Recall the formula SA=4 pi r^2.
$11.05
$60.79
$243.16
$607.90
Answer:
One globe costs $60.79
Step-by-step explanation:
The area of the globe is
A = 4.π.r^2
Since the radius is 11 inches
A = 4*(3.14)*(11 in)^2 = 1519.76 in^2
We apply a rule of three
1 in^2 --------------------------------- $0.04
1519.76 in^2 ------------------------- x
x = (1519.76 in^2/ 1 in^2)*$0.04
x = (1519.76)*$0.04
x = $60.79
x ≈ $60.8
Answer: Second Option
$60.79
Step-by-step explanation:
To solve this problem let's suppose that the balloons are spherical
Then the surface area of a sphere is given by the formula:
[tex]SA=4\pi r^2[/tex]
Where r is the radius of the sphere
In this case we know that the radius of each globes is 11 inches, then:
[tex]SA=4(3.14) (11)^2[/tex]
[tex]SA=4(3.14)(121)[/tex]
[tex]SA=1519.76\ in^2[/tex]
If the material to make globes costs $ 0.04 per square inch then the cost of a globes is:
[tex]C=1519.76*0.04[/tex]
[tex]C=\$60.79[/tex]
Solve for z :2x+6yz=2xz+2y
Answer:
z = [tex]\frac{y-x}{3y-x}[/tex]
Step-by-step explanation:
2x+6yz=2xz+2y (rearrange so that z is on one side)
6yz - 2xz = 2y - 2x (divide both sides by 2)
3yz - xz = y - x (factor our z from LHS)
z (3y - x) = y - x
z = [tex]\frac{y-x}{3y-x}[/tex]
Sara sells beaded necklaces she makes a profit of 4 dollars pn every neclace she sells which table represents the profit sara makes
if you multiply the number of necklaces sold by 4 for all 4 values in the first column of the table then you should get the value in the second column of the table
Table {4} represents the correct function that represents the profit function.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of function as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is that Sara sells beaded necklaces she makes a profit of 4 dollars every necklace she sells.
Assume that she sells {x} necklaces in total. So, we can write the function for Sara's profit as -
y = 4x
We can see that table {4} is represented by the profit function.
Therefore, table {4} represents the correct function that represents the profit function.
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Identify the law illustrated by: 4(3x-7) is equivalent to 12x-28.
Answer:
Distributive law of multiplication
Step-by-step explanation:
Answer:
Step-by-step explanation
A: No it is not the inverse law of multiplication which has something to do with division.
B: is your answer.
C: It is not the commutative Law. An example of that would be a*b =b*a
D: Identity of multiplication is 1.
A bag contains 8 red, 4 blue, and yellow marbles.
[tex]|\Omega|=16\cdot15=240\\|A|=4\cdot3=12\\\\P(A)=\dfrac{12}{240}=\dfrac{1}{20}=5\%[/tex]
Kevin is responsible for delivering sacks of grains to a grocery shop on the tenth floor of a departmental store. Each sack weighs 364 pounds and Kevin weighs 150 pounds. The capacity of the elevator is 2,000 pounds.
If six sacks are to be taken at a time, what should be the weight of each sack?
Final answer:
Kevin can safely take sacks weighing up to 308.33 pounds each in the elevator, provided he takes six sacks at a time and the elevator's capacity is 2,000 pounds with Kevin weighing 150 pounds.
Explanation:
The student's question is asking for the maximum weight of each sack of grain that Kevin can deliver on the elevator, given the elevator's weight capacity and the additional weight of Kevin himself. To answer this question, we need to consider the weight that the elevator can hold minus Kevin's weight, and then determine how much weight is left for the sacks of grain.
The elevator has a capacity of 2,000 pounds, and Kevin weighs 150 pounds. This means the total weight that the elevator can carry in addition to Kevin is:
2000 pounds (elevator capacity) - 150 pounds (Kevin's weight) = 1850 pounds (available for sacks)
If Kevin needs to deliver six sacks at a time, we can divide the total available weight by six to find the maximum weight for each sack:
1850 pounds / 6 sacks = approximately 308.33 pounds per sack
Therefore, the weight of each sack must be 308.33 pounds or less for Kevin to safely use the elevator without exceeding its capacity.
What is the fourth term of the sequence?
ar = 2.41-2
Enter your answer in the box.
HELPPPP!!!!
Answer:
32
Step-by-step explanation:
Substitute n = 4 into the formula
[tex]a_{4}[/tex] = 2 × [tex]4^{4-2}[/tex] = 2 × 4² = 2 × 16 = 32
What is the slope of the equation y - 3 = -4(X - 5)?
Answer:
Step-by-step explanation:
y - 3 = -4(x - 5)
Add 3 to both sides to isolate y
y = -4 ( x - 5 ) + 3
Distribute
y = -4x +20 + 3
Combine like terms
y = -4x + 23
y = mx + b is standard form for which m is slope
m = -4
Please mark for brainliest!! :D Thanks!!
If you have any questions or need more information, please comment below and I'll respond asap!!
Answer:
-4
Step-by-step explanation:
Distribute -4 into the parenthesis and get -4x + 20. The number paired with x is the slope, usually represented by m in y = mx + b. So, the slope is -4. For the full slope intercept format, move the -3 on left side to the right by adding 3. The new equation is y = -4x + 23.
whats 9 plus 10
ps its 21
Answer:
it is 21 because 9+10=19+2=21-10=11+10=21 its magic
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
9 + 10 = 19
It is impossible for it to be 21.
10
9
----
1 9
Hope this helps.
Alice.
two square regions have an area of 125 and 5 how many yards of fencing is needed to enclose? ( assume regions fenced separately)
Answer:
[tex]24\sqrt{5}\ yards[/tex]
Step-by-step explanation:
Let A1 be the area of one square and A2 be the area of second square
So,
A1 = s^2
where s is side of square
[tex]s^2=125\\\sqrt{s^2}=\sqrt{125}\\s=\sqrt{25*5}\\ s= \sqrt{5^2 * 5}\\ s= 5\sqrt{5}[/tex]
So side of one square is [tex]5\sqrt{5}[/tex]
To calculate the length of fence we need to find the perimeter of the square
So,
P1 = 4 * s
[tex]=4*5\sqrt{5} \\=20\sqrt{5}[/tex]
For second square:
[tex]A_2=s^2\\5=s^2\\\sqrt{s^2}=5\\{s}=\sqrt{5}[/tex]
The perimeter will be:
[tex]P_2 = 4*s\\=4 * \sqrt{5} \\=4\sqrt{5}[/tex]
So the total fence will be: P1+P2
[tex]= 20\sqrt{5}+4\sqrt{5} \\= 24\sqrt{5}\ yards[/tex]
The graph below plots the values of y for different values of X:
Which correlation coefficient best matches the data plotted on the graph? (1 point)
Answer:
0.50
Step-by-step explanation:
we know that
Observing the graph
we have the following points
(1,3),(2,4),(3,9),(4,7),(5,2),(6,18)
Using a Excel tool (Correl function)
The correlation coefficient is equal to r=0.605639
see the attached table
therefore
The correlation coefficient that best matches the data plotted on the graph is 0.50
Which is a correct classification for the triangle?
Step-by-step explanation:
All three sides are equal, so this is an equilateral triangle.
Answer:
This is an equilateral triangle
Step-by-step explanation:
All three sides are equal, making it equilateral
find the volume of the sphere centered at O length of CO is 4.5 cm
Answer:
V=4/3 πr3
I belive it is.
Answer:
V=121.5pi cm^2
Step-by-step explanation:
V=(4/3)*pi*r^3
V=(4/3)*pi*91.125
V=121.5pi cm^2
Which expression is equivalent to sqrt10/4sqrt8
Answer:
Step-by-step explanation:
Since it's a division we need to look for a common factor to cancel
so first we try to break the numbers to there prime factors
[tex]\frac{\sqrt{10} }{4\sqrt{8} } = \frac{\sqrt{2.5} }{4\sqrt{2.2.2} }[/tex]
So , now we try to factors that are common in top and bottom
[tex]= \frac{\sqrt{2} \sqrt{5}}{4\sqrt{2}\sqrt{4} }[/tex]
common factor is sqrt 2 so lets cancel it
we get
[tex]\frac{\sqrt{5} }{4\sqrt{4} }[/tex]
[tex]\frac{\sqrt{5} }{8}[/tex]
What is the explicit formula for this sequence -7, -4, -1, 2, 5
[tex]a_n=3n-10[/tex]
Answer:
an = -7 + (n - 1) 3
Step-by-step explanation:
What is the value of x?
[tex]x+40=3x\\2x=40\\x=20[/tex]
For this case we have by definition of angles between secant lines that:
[tex]x + 40 = 3x[/tex]
Also, the angle between T and V is equal to the angle between S and W.
Returning to the question, we have to:
[tex]x + 40 = 3x[/tex]
We must know the value of "x":
Subtracting 3x on both sides of the equation we have:
[tex]x-3x + 40 = 0[/tex]
Subtracting 40 from both sides of the equation:
[tex]-2x = -40[/tex]
Dividing between -2 on both sides of the equation:
[tex]x = \frac {-40} {- 2}\\x = 20[/tex]
So, the value of x is 20
Answer:
[tex]x = 20[/tex]
PLEASE HELP !!!!
ivanna's earnings vary directly with the number of hours she works. suppose that she worked 7 hours yesterday and earned $77. if she earned $99 today, how many hours did she work today
Answer:
9 hr
Step-by-step explanation:
vary directly means you should think about a constant being multiply to one variable to get another variable.
So we have E=kH
where E=earnings and H=hours and k is the constant of proportionality
So they give us when H=7 we have E=77 giving us 77=k(7) which means the constant of proportionality is 11
So that means no matter what the E and H are k is 11
So we have the equation is E=11H
Replace E with 99 and solve for H
99=11(H)
So H=9
9 hours
find the inverse function of f x equals 2x / 3 - 17
Answer:
[tex]\large\boxed{f^{-1}(x)=\dfrac{3x+51}{2}=\dfrac{3}{2}x+\dfrac{51}{2}}[/tex]
Step-by-step explanation:
[tex]f(x)=\dfrac{2x}{3}-17\to y=\dfrac{2x}{3}-17\\\\\text{exchange x to y and vice versa:}\\\\x=\dfrac{2y}{3}-17\\\\\text{solve fro y:}\\\\\dfrac{2y}{3}-17=x\qquad\text{add 17 to both sides}\\\\\dfrac{2y}{3}=x+17\qquad\text{multiply both sides by 3}\\\\2y=3x+51\qquad\text{divide both sides by 2}\\\\y=\dfrac{3x+51}{2}=\dfrac{3}{2}x+\dfrac{51}{2}[/tex]