Answer:
HereThe numbers less than 50 (A) = 4
Total numbers (S) = 14
Probability students below 50 = 4÷14
Step-by-step explanation:
That is the correct answer of it.
Help with 1-5! I will give 100 points
Answer:
See below ~
Step-by-step explanation:
Solutions :
6. Domain of the graph
⇒ Minimum value : x = -2
⇒ Maximum value : x = 6
⇒ Domain = [-2, 6]
===============================================================
7. Range of the graph
⇒ Minimum value : y = 0
⇒ Maximum value : y = 5
⇒ Range = [0, 5]
=============================================================
8. Function increasing
⇒ It is increasing from x = -2 to x = 1
⇒ Interval is : [-2, 1]
=============================================================
9. Function decreasing
⇒ It decreases from x = 4 to x = 6
⇒ Interval is : [4, 6]
=============================================================
10. Function constant
⇒ It remains constant from x = 1 to x = 4
⇒ Interval is : [1, 4]
1) [-2, 6]2) [0, 5]3) [-2, 1]4) [4, 6]5) [1, 4]Explanation:
1) Domain of a graph lies in the x axis: -2 ≤ x ≤ 6
In Interval Notation: [-2, 6]
2) Range of a graph lies in the y axis: 0 ≤ f(x) ≤ 5
In Interval Notation: [0, 5]
3) Interval where the function is increasing: -2 ≤ x ≤ 1
Interval Notation: [-2, 1]
4) Interval where the function is increasing: 4 ≤ x ≤ 6
Interval Notation: [4, 6]
5) Interval where the function is constant: 1 ≤ x ≤ 4
Interval Notation: [1, 4]
PLEASE HELP PLEASE PLEASE
Coordinate pairs are organized like (x,y).
x tells us the location of the point in relation to the x-axis, the axis that is horizontal.y tells us the location of the point in relation to the y-axis, the axis that is vertical.To determine a coordinate pair, we can determine each coordinate individually, then put them together.
Solving the QuestionNotice how the red point sits on the very edge of the graph.
When we look at the x-axis, we can see that it occurs at the number 0 on the x-axis. In other words, the red point occurs when x=0.
When we look at the y-axis, we can see that it lines up with the number 2. In other words, the red point occurs when y=2.
Therefore, when we put the two coordinates together like (x,y), we get (0,2).
Answer(0,2)
The value of a company’s stock is represented by the expression x2 – 2y and the company’s purchases are modeled by 2x + 5y. The company’s goal is to maintain a stock value of at least $6,000, while keeping the purchases below $2,000. Which system of inequalities represents this scenario?
A.) x2 – 2y ≥ 6000
2x + 5y < 2000
b.) x2 – 2y > 6000
2x + 5y < 2000
C.) x2 – 2y > 6000
2x + 5y ≤ 2000
D.) x2 – 2y ≤ 6000
2x + 5y ≤ 2000
Answer:
the answer is A
Step-by-step explanation:
Given x2-2y= stock value
and
2x+5y= purchases
stock value must stay at or more than 6000
while purchases must stay under 2000
If a phone cost $224 what would it cost if there was a 7% sales tax.
Answer:
$239.68
Step-by-step explanation:
Given
Cost = $224Sales Tax = 7%Solving
Cost w/ Tax = Cost (1 + Tax)Cost w/ Tax = 224 (1 + 0.07)Cost w/ Tax = 224 * 1.07Cost w/ Tax = $239.68Which of the following is the maximum value of the equation y = −x2 − x + 6?
Step-by-step explanation:
f(x) = y= -x²-x+6
When y is max, f'(x) = 0
f'(x) = -2x-1
Equating to 0,
-2x-1= 0
x= -1/2
Put the value of x in f(x)
y = -(-1/2)² -(-1/2) +6
= -1/4+1/2+6
= 6+1/2
y= 13/2
Which of the following are square roots of the number below? Check that all apply. 36 A. 18 I B. 8 C. 6 D. -6 O E. 361/2 OF F. -361/2
Answer: C and D
Step-by-step explanation:
√36 = ±6
Someone Help Me Solve This
Answer: Choice C
f(x) = x+5
===========================================
Explanation:
The input x = -3 has 5 added to it to get x+5 = -3+5 = 2
The diagram shows the "-3" in the input oval pointing to "2" in the output oval.
Through similar steps, we have the input -2 map to the output 3. Also, the input 0 points to the output 5.
The input -5 should map to 0, but 0 isn't in the output list. So we ignore -5 in the input oval.
hi! how do you do this?
Answer:
a +7d = 11
Step-by-step explanation:
The sum of an arithmetic series is given by the formula ...
Sn = (n/2)(2·a1 +d(n -1))
where n is the number of terms, a1 is the first term, and d is the common difference.
__
Here, you are given n=15, S = 165, a1=a, and asked to find a relation for 'a' and 'd'. Substituting the known values, we have ...
165 = (15/2)(2a +d(14))
11 = a +7d . . . . . . . . simplify and divide by 15
We have found the relation to be ...
a +7d = 11 . . . . . as required
Which property is illustrated by the following statement? A. Reflexive B. Commutative C. Transitive D. Symmetric
Answer:
D. Symmetric
Step-by-step explanation:
The symmetric property of congruence says, for objects A and B, ...
if A ≅ B, then B ≅ A.
__
The symmetric property of congruence makes your statement true:
if ΔHXA ≅ ΔRGI, then ΔRGI ≅ ΔHXA
__
Additional comment
The other answer choices involve other properties:
Reflexive -- an object is congruent to itself: ΔHXA ≅ ΔHXA
Commutative -- certain operations allow the order of their operands to be reversed: A +B = B +A for addition; AB = BA (for scalar multiplication)
Transitive -- if A ≅ B and B ≅ C, then A ≅ C.
The property which is illustrated by the given statement is Symmetric property.
What is Reflexive property?Reflexive property states that for any number, c, the number is equal to itself.
Or in case of expressions, a + b = a + b.
Symmetric property states that, for any numbers m and n,
If m = n then n = m.
Transitive property states that, for any numbers m, n and o,
If m = n and n = o, then m = o.
Commutative property is for operation of numbers.
a + b = b + c
Given statement is If, ΔHXA ≅ ΔRGI, then ΔRGI ≅ ΔHXA.
This is symmetric statement.
Hence the correct option is D.
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Josh has been saving $24 every 3 weeks. If he continues to save at this rate, how much money will he have in 12 weeks?
Answer:
96
Step-by-step explanation:
12 ÷ 3 = 4 (therefore he is saving $24 four times in 12 weeks)
24 × 4 = 96
What is the value of the following expression if x 22: "five times a number
decreased by 2"?
Answer:
108
Step-by-step explanation:
five times a number x decreased by 2 can be expressed as by 5x- 2
tial growth and decay: word problems UKG
You have prizes to res
In Booneville, the use of landlines has been declining at a rate of 20% every year. If there are
25,300 landlines this year, how many will there be in 5 years?
If necessary, round your answer to the nearest whole number.
landlines
Using an exponential function, it is found that there will be 8290 landlines in 5 years.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, we have that the initial value and the decay rate are given as follows:
A(0) = 25300, r = 0.2.
Hence the function is given by:
[tex]A(t) = 25300(0.8)^t[/tex]
In t = 5 years, the amount of landlines will be given by:
[tex]A(5) = 25300(0.8)^5 = 8290[/tex]
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what is 4 over 10 plus 88 over 100
Answer:
1.28
Step-by-step explanation:
4/10 + 88/100
so this is unlike denominators so
4 times 10 and 10 times 10 equal to 40/100
so 40/100 + 88/100 equal to 128/100 so we simplify 128÷2 and 100÷2 equal to 64/50 and 64÷2 and 50÷2 equals 32/25 we do long division then it is equal to 1.28
My mother was 22 years old when I was born. She is now 3 times as old as I am. How old is my mother now?
Answer:
she is 66
Step-by-step explanation:
you multiply the age she as when you were born with 3 and get 66
ur wlcm :)
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A right triangle has acute angles C and D. If tanC=15/8 and cosD=15/17, what are cotD and sinC?
The values of CotD and SinC from the information given in the task content are; 15/8 and 15/17 respectively.
What is the value of cotD and sinC?It follows from the task content that the right triangle has tanC = 15/8 and cosD=15/17.
On this note, it follows from Pythagoras theorem that the other value are as follows;
sinC = 15/17, cosC = 8/17sinD = 8/17 and tanD = 8/15Hence, it follows that the values of cotD and sinC are; 15/8 and 15/17 respectively.
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Which of the following is an arithmetic sequence with a common difference of +3?
Question 6 options:
A)
4, 7, 10, 13, ...
B)
1, 3, 9, 12, ...
C)
17, 14, 11, 8, ...
D)
12, 15, 19, 24, ...
Answer:
A
Step-by-step explanation:
10-7= 7-4= 3
That's it!
Two functions are shown below.
f(x) = 1/2*2x
g(x) = 5x+2
What is the largest value of x for which f(x) = g(x)?
Answer:
x = 6
Step-by-step explanation:
As the function f(x) is an exponencial function, it will grow faster than g(x), that is a linear function.
For small values of x, we have that f(x) < g(x). For example:
f(1) = 1/2 * 2 = 1
g(1) = 5*1 + 2 = 7
f(2) = 1/2 * 4 = 2
g(2) = 5*2 + 4 = 14
So we just need to check some integer values and see when f(x) will be bigger than g(x). It will not be a big value, as the exponencial function grows very fast.
For x = 5, we have:
f(5) = 1/2 * 32 = 16
g(5) = 5*5 + 4 = 29
For x = 6, we have:
f(6) = 1/2 * 64 = 32
g(6) = 5*6 + 4 = 34
For x = 7, we have:
f(7) = 1/2 * 128 = 64
g(7) = 5*7 + 4 = 39
So the largest integer value of x for f(x) ≤ g(x) is x = 6.
Another way to solve this is by plotting both equations, and then checking where they cross, that is, where f(x) = g(x).
Answer:
x = 6
Step-by-step explanation:
We assume your functions are ...
f(x) = (1/2)(2^x)g(x) = 5x+2In general, mixed polynomial and exponential functions have no algebraic solution. That means we need to solve f(x) = g(x) using a table of values, or by graphing.
__
Attached is a graphical solution. It shows the largest value of x for which f(x) = g(x) is x=6.
Check: f(6) = 1/2(2^6) = 32 = g(6) = 5(6) +2
__
Additional comment
We can start with f(x) = g(x) and subtract g(x) from both sides of the equation. This gives ...
f(x) -g(x) = 0
Many graphing calculators readily identify the zeros of a function or expression. We have used that fact to find the two values of x where these functions are equal: ≈0.32 and 6.
For x>6, the exponential function increases without bound, so the graphs never cross again. Likewise, for x < -0.32, the linear function decreases without bound, so the graphs never cross again.
The lower value of x where the graphs cross is an irrational number near −0.319886722135.
The diameter of a circle is 38 inches. What is the circle's circumference?
Use 3.14 for .
Answer:
119.32
Step-by-step explanation:
Part B Write an expression to find how many rolls of wallpaper Jackie needs to buy. Show the steps you used to evaluate the expression.
A. The rolls of groovy wallpaper is needed to cover the apartment bedroom. 9 rolls
B.The cost to re-wallpaper the apartment room $143.10
What is the cost?Based on the question, we have to assume there are no windows and no doors in that bedroom... to calculate how much less wallpaper we really need, and we cover completely from the floor to the ceiling.
A. If one rolls covers 50 sq ft, how many rolls do we need?
First, let's calculate the perimeter of that room, which is 16'x10'.
P = 16 + 10 + 16 + 10 = 52 feet of perimeter.
Now, the walls are 8 feet high... so, let's see just how big is the area to cover.
A = 52 feet * 8 feet = 416 sq feet to cover all walls.
Since we know each roll covers 50 sq ft, we will need:
416 / 50 = 8.32 rolls.
When talking about quantity you need to buy or to fill something, you always have to round up to the next unit. Because you usually can't buy a portion of a unit and if you round it down, you'll miss material to cover your walls.
So, we will need 9 rolls.
B. Total cost, based on $15.90 per roll.
We already know we need 9 rolls... so how much will it cost us?
C = 9 * $15.90 = $143.10
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Tram Fancy Balloons has offered to sell its balloon bouquet for a fixed down payment of $30 and an additional charge of $3 25 per bouquet
Write an algebraic rule that will determine the cost of "c" balloon bouquets
Answer:
y = 30 + 3.25c
(where y is the total cost in dollars, and c is the number of balloon bouquets)
Step-by-step explanation:
Let y = total cost (in dollars)
Let c = number of balloon bouquets
Given:
Fixed payment = $30Charge per bouquet = $3.25⇒ y = 30 + 3.25c
Y inetercept:-
Fixed payment=30Rate of change=3.25
So
No of balloons=cCost be Y
Y=3.25c+30Mugdo paid $250 for a sneaker and there is a 61% advertised discount. How much is the discount?
Answer:
152.5
Step-by-step explanation:
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:34a
Step-by-step explanation:
because 6a-4=2a
4a+28=32a
2a+32a=34a
Using Euler's formula, how many
faces does a polyhedron with
20 vertices and 30 edges have?
?] faces
Answer:
Faces = 12
Step-by-step explanation:
Given: V = 20, E = 30To find: F Euler's formula is given as: F + V - E = 2Plugging the values of V and E in the above formula, we find:F + 20 - 30 = 2-> F - 10 = 2-> F = 2 + 10-> F = 12Theresa pays $9.56 for 4 pounds of tomatoes. What is the cost of 1 pound of tomatoes?
Answer:
$2.39
Step-by-step explanation:
to find the cost of 1 pound , divide the cost of 4 pounds by 4
$9.56 ÷ 4 = $2.39
Find the inverse of {(-2, 4), (-3, -1), (2, 2), (3, 4)}. State whether the inverse is a function.
Answer:
(-4, 2), (-1, -3), (2,0), (4,3).
2 What value of x will make the equation
1
rue? (8x – 20) – 16 = 10x + 51
=
-
4
A -4
3 5
9
no
-- 9
Answer:
x = - 43.5
Step-by-step explanation:
Step 1 : Simplify the given equation.
(8x - 20) - 16 = 10x + 51
8x - 20 - 16 = 10x + 51
8x - 36 = 10x + 51
Step 2 : Add/Subtract the alphabetical terms and numerical terms separately.
8x - 36 = 10x + 51
Step 3 : Add 36 on both sides.
8x = 10x + 51 + 36
8x = 10x + 87
Step 4 : Subtract 10x on both sides.
8x - 10x = 87
- 2x = 87
Step 5 : Divide - 2 on both sides.
x = 87/-2
x = - 87/2 (answer in terms of fraction)
x = - 43.5 (answer in terms of decimal)
Hence,
The value of x is - 43.5
solve the equation by the method of substitution x-y=1,6x-5y=11
Answer:
x=6, y=5
Step-by-step explanation:
plug it in!
Answer:
Step-by-step explanation:
-5x + 5y = -5
6x - 5y = 11
x = 6
6 - y = 1
-y = -5
y = 5
(6, 5)
The top of a rectangular table has an area of 11 square feet. It has a length that is 3.5 feet more than the width. Find the dimensions of the table top.
The length of the table is ____ feet and the width of the table is ____ feet.
Step-by-step explanation:
If we let the width be w, then the length is w+3.5.
This means that w(w+3.5)=11
w^2 + 3.5w - 11 = 0
2w^2 + 7w - 22 = 0 (multiply both sides by 2)
(2w+11)(w-2)=0
w = -11/2 or w = 2 (disregard w = -11/2 as distance is positive)
This means that w=2, and thus the length is 2+3.5=5.5
City park is rectangular in shape and has side length of 15 and 20. City planners want to construct two walkways such that each one connects the corner of the park as shown.
The statement that is not true is the walkways will create a 90 degree angle when they intersect.
Which statement is not true?The shape shown is a rectangle. A rectangle is a four sided quadrilateral with opposite equal sides. The walkway is along the diagonals of the rectangle.
The diagonals are of equal length. The diagonals bisect each other and form to two congruent right angle triangles.
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I have a question please help
Answer:
[tex]\sf 2\sqrt{2}[/tex]
Step-by-step explanation:
First find h(10)
h(x) = 2x - 8
h(10) = 2*10 - 8
= 20 - 8
= 12
[tex]\sf g(x)=\sqrt{x-4}\\\\ g(h(10) = g(12) = \sqrt{12-4}\\[/tex]
[tex]\sf = \sqrt{8}\\\\ = \sqrt{2*2*2}\\\\ = 2\sqrt{2}[/tex]