Answer:
1000 tennis balls will produce the minimum cost
Step-by-step explanation:
Daily cost equation of tennis ball : [tex]C(x)=200-10x+0.01x^2[/tex]
Where C(x) is the total cost in dollars
x is the number of tennis balls produced
We are supposed to find number of tennis balls will produce the minimum
cost.
Lead coefficient = 0.01
The lead coefficient is positive, the parabola opens up.
Thus ,the minimum is at the vertex.
[tex]x=\frac{-b}{2a}[/tex]
So, [tex]x= \frac{10}{0.01}\\x=1000[/tex]
Substitute the value of x in given equation:
C(x)=200-10(1000)+0.01(1000)^2
C(x)=200
Hence 1000 tennis balls will produce the minimum cost
A 16 -ounce bottle of Spring Water is $1.76 . A 20 -ounce bottle of Fresh Water is $2.40 . Which statement about the unit prices is true?
Answer:
The difference in unit price is $0.01/ounce
Step-by-step explanation:
A 16 -ounce bottle of Spring Water = $1.76
A 20 -ounce bottle of Fresh Water = $2.40
For the spring water, the unit price = 1.76/16 = $0.11/ounce
For the fresh water, the unit price = 2.4/20 $0.12/ounce
The difference in unit price is $0.01/ounce
Solve: 8 [-4 (3-2)] *
Answer:
32
Step-by-step explanation:
simplify
8 [-4 (3-2)]
multiply
8 [-4 (1)]
take absolute value: four becomes positive
8 [-4]
solve
8*4
32
Answer:
i believe its -32
Step-by-step explanation:
Well you start in the parentheses and you get 1 and then you multiply -4 x 1 and you get -4 and then multiply that by 8 and get -32
hope this helps
give the range of the relation shown below
Answer:
Range { 3,7,11,15}
Step-by-step explanation:
The range is the output or y values
Range { 3,7,11,15}
The table shows the price for different numbers of cupcakes: Number of Cupcakes Price (in dollars) 3 12 4 16 5 20 7 28 Does this table of numbers represent a proportional relationship? (
Answer:
Yes
Step-by-step explanation:
If you put all of those points on a graph you get a slope of 4 and a perfectly straight line.
Answer:
The answer is Yes, because the price is 4 times the number of cupcakes because 3 × 4 = $12, 4 × 4 = $16.
Step-by-step explanation:
What decimal is equivalent to 45/54
Answer:
0.83
Step-by-step explanation:
[tex] \frac{45}{54} \\ [/tex]
Use 3 to divide through
[tex] \frac{5}{6 } = 0.8333333[/tex]
Pleaseee help I need fast and right
Answer: e. x≠2 f. x≥-1/2
Step-by-step explanation:
Domain is basically the x value of a function.
----------------------------------------------------------------
Question e.
g(x)=5/(2-x)
First, keep in mind, the denominator of a fraction can not be zero or else it will be undefined.
Since x is in the denominator: 2-x≠0
2-x≠0
x≠2 Yes, this is the domain----------------------------------------------------------------
Question f
h(x)=√(2x+1)
For a standard square root, the value inside can't b negative
So 2x+1≥0
2x≥-1
x≥-1/2 Yes, this is the domainHope this helps!! :)
Please let me know if you have any question
Explain what happens when you solve the mathematical sentence 4 – ( -5)
Answer:
4-(-5)=4+5=9
Step-by-step explanation:
Instead of subtracting the numbers, the subtraction sign and the negative sign in front of the 5 combine to make one big plus sign, therefore resulting in the equation becoming 4+5=9.
what is the answer to 50-43+(6x8)-9+3 and how do you solve it?
Answer:
Hey there!
50-43+(6x8)-9+3
50-43+48-9+3
7+48-9+3
46+3
49
Let me know if this helps :)
Answer:
= 49
Step-by-step explanation:
50-43+(6x8)-9+3
= 50 - 43 + (48) - 9 + 3
= (50 + 48 + 3) + (-43 - 9)
= 101 - 52
= 49
How many dots would be in the 7th picture ?
Answer: 28 dots
Step-by-step explanation: In this pattern,
we can see the the first figure is just 1 dot.
The second figure has a new row on the bottom with 2 dots.
The third figure has a new row on the bottom with 3 dots
and the fourth figure has a new row on the bottom with 4 dots.
So continuing with this pattern,
the next figure will have a new row with 5 dots,
the next will have a new row with 6 dots,
and the next will have a new row with 7 dots.
So in the 7th picture, we will have 7 + 6 + 5 + 4 + 3 + 2 + 1 dots.
This simplifies to 28 dots.
Take a look below.
Find the zeros of the function.
Enter the solutions from least to greatest.
h(x) = (-4x – 3)(x – 3)
lesser x =
greater x =
Answer:
x = -3/4 or x = 3
Step-by-step explanation:
Solve for x over the real numbers:
(-4 x - 3) (x - 3) = 0
Hint: | Find the roots of each term in the product separately.
Split into two equations:
-4 x - 3 = 0 or x - 3 = 0
Hint: | Look at the first equation: Divide both sides by the sign of the leading coefficient of -4 x - 3.
Multiply both sides by -1:
4 x + 3 = 0 or x - 3 = 0
Hint: | Isolate terms with x to the left hand side.
Subtract 3 from both sides:
4 x = -3 or x - 3 = 0
Hint: | Solve for x.
Divide both sides by 4:
x = -3/4 or x - 3 = 0
Hint: | Look at the second equation: Solve for x.
Add 3 to both sides:
Answer: x = -3/4 or x = 3
Answer:
lesser x = -3/4
greater x =3
Step-by-step explanation:
h(x) = (-4x – 3)(x – 3)
Set the function equal to zero to find the zeros
0 = (-4x – 3)(x – 3)
Using the zero product property
0 = (-4x – 3) 0=(x – 3)
Solve each equation
3 = -4x 3 =x
-3/4=x 3 =x
lesser x = -3/4
greater x =3
POINTS!!! PLS COME AND LOOK!!! I NEED YOU GENIUSES!!! I WILL GIVE BRAINLIEST!!!!! AT LEAST COME AND LOOK!!!! WILL FOREVER BE GREAT FULL!!! EASY I JUST STRUGGLE!! LAST QUESTIONS!!
18. What is the range of y=x+3^2?
A) {3^2}
B) {1, 3, 9}
C) All real numbers except 9.
D) All real numbers
Answer:
Step-by-step explanation:
y=x+3² if this is the equation then it is all real numbers
You install 404 feet of fencing along the perimeter of a rectangular yard.
The width of the yard is 100 feet. What is the length of the yard?
Answer:
The length of the yard is 102
Step-by-step explanation:
If the width of the yard is 100 feet, and it's a rectangular, that means the other side of the rectangle is also equal to 100 feet. So so far we have 200 feet of the yard covered. Then we do 404-200=204. So the combined length of both the sides is 204. Since they both equal the same length, we can then do 204/2 to get 102. So one side length is 102 and the L, W, L, W of the rectangle is 102, 100, 102, 100. In other words, the rectangle is 102 by 100.
Answer:
Length of the yard = 102 ft
Step-by-step explanation:
Perimeter of the yard P = 404 ft
Width of the yard W = 100 ft
Find Length of the yard L = ?
Perimeter of a rectangular = 2L + 2W
404 = 2L + 2(100)
2L = 404 - 200
2L = 204
L = 204 / 2
L = 102 ft
h(t) = 4t+20 What is h(_____)=4?
Answer: -4
Step-by-step explanation:
For the function 4t + 20, the value of t is -4.
What is function?Function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.
The given value of function h(t) = 4t + 20.
To find the value of t when h(t) = 4.
Substitute, h(t) 4.
4t + 20 = 4
4t = 4 - 20
4t = - 16
t = -4.
The required value of t is -4.
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In the figure below, the measure of
True
False
Answer:
The answer to this is true because they are open at the same angle
help please.. its quiet easy anyway xd
Answer:
An equilateral triangle is a triangle in which all three sides are equal. An equilateral triangle is also equiangular, in which all three internal angles are also congruent to each other and are each 60°.
Parallelogram and rhombus possibly.
Trapezoid.
Answer:
Part a)
Three equal sides
Three equal angles
Part b)
1) Rhombus
2) Parallelogram
[Both have 2 pairs of parallel sides and thus have their opposite angles equal]
Part c)
Trapezoid [Have exactly 1 pair of parallel sides]
evaluate 9/m+4 when m=3
Answer:
[tex] \frac{9}{7} \: or \: 1.28[/tex]
Step-by-step explanation:
[tex] \frac{9}{m + 4} = \frac{9}{3 + 4} = \frac{9}{7} \: or \: 1.28[/tex]
F(x-1) = (x-1)^2 + 3(x-1) - 2
Answer:
F(x−1)=x2+x−4
Explanation:
Substitute the given value into the function and evaluate.
the product of 9 and a number n
Answer:
My answer to the question is 9×n=9n.
At 4:41 P.M., Olivia started to make orange juice. She got out twelve oranges, juiced them, and drank the juice. When she finished it was 5:35 P.M. How long did it take to make and drink the juice? hours minutes
Answer:
54 Minutes
Step-by-step explanation:
subtract 35 from 41=6SUBTRACT 6 minutes from a hourthat gives you 54 minutesWhat shape would you get if you cut off one of the corners of a rectangular prism?
Answer:
Different cuts can produce cross sections that are congruent to the base, a side, or even triangles if the cut is through the corner of a prism. A slice that is not parallel to the base and contains points from the four vertical edges of the prism reveals a parallelogram.
Step-by-step explanation:
hope this helps
Answer:
An irregular pentagonal prism
Separate 126 into two parts so that one part is 16 more than the other part. Find each part. show work
Answer:
55 and 71
Step-by-step explanation:
Let s represent the smaller part.
s +(s +16) = 126
2s = 110
s = 55
s+16 = 71
The two parts are 55 and 71.
_____
After you work a few of these, you recognize that the two numbers will be ...
[tex]\dfrac{126}{2}\pm\dfrac{16}{2}\quad\text{half the sum plus or minus half the difference}[/tex]
I am a number with 45 tens and 3 ones. What number am I
Answer:
453
Step-by-step explanation:
The area of a rectangle is represented by the formula A = lw, where I is the length
and w is the width. Solve the formula(equation) for width(w). *
Answer:
w= A / l
Step-by-step explanation:
A = lw
Where,
A= Area of a rectangle
l= Length of a rectangle
w= width of a rectangle
Area of a rectangle = length × width
Solve the formula(equation) for width(w).
A= lw
Divide both sides by l
A / l = lw / l
A / l = w
Width = Area of the rectangle / length of the rectangle
Example: Find the width of the rectangle with length of 6 inches and Area of 12 square inches.
A= 12 square inches
l= 6 inches
w= x inches
A= lw
w= A / l
= 12 / 6
= 2
w = 2 inches
Sorry about the glare?
Answer:
1) natural number or whole number
2) rational number
3) irrational number
4) integer
5) associative property under with respect to multiplication over addition
6) left distributive property with respect to multiplication over subtraction
7) communitative property under addition
8) right distributive property with respect to multiplication over addition
9) +7
10) -4/9
11) -3.8
12) root -5
Step-by-step explanation:
Answer:
Step-by-step explanation:
1) rational number
2) 5/4 = 1.25 rational number
3) √11 irrational number
4) - 12 rational number
5) (6*8) *5 = 6*(8*5) Associative property of multiplication
6) 7*(9-5) = 7*9 - 7*5 Distributive property upon subtraction
7) 84 + 16 = 16 +84 Commutative property of addition
8) (12 +5) *6 = 12*6 + 5*6 Distributive property upon addition
Given number additive inverse multiplicative inverse
9) - 7 +7 [tex]\frac{-1}{7}[/tex]
10) [tex]\frac{4}{9}[/tex] [tex]-\frac{4}{9}[/tex] [tex]\frac{9}{4}[/tex]
11) 3.8 -3.8 [tex]\frac{1}{3.8}[/tex]
12) √5 -√5 [tex]\frac{1}{\sqrt{5} }[/tex]
Hint:
To find additive inverse, just reverse it's sign
a additive inverse is -a
-a additive inverse is a
Multiplicative inverse of a number 'x' is 1/x
Multiplicative inverse of a fraction a/b is b/a
The line a bus arrives at the bus stop every 25 minuetes, and the line B busarrived every 15 minuetes both are at the bus stop right now. In how many minutes will both be at the bus stop again
Answer: 75 minutes.
Step-by-step explanation:
Given that the line a bus arrives at the bus stop every 25 minuetes, and the line B busarrived every 15 minuetes both are at the bus stop right now.
In how many minutes will both be at the bus stop again?
We can achieve that by finding the LCM of 25 and 15
The LCM of both will be 3, 5 and 5
That is, 3 × 5 × 5 = 75 minute.
Therefore, both will be at the bus stop again in the next 75 minutes or 1 hour 15 minutes.
A polnt represents:
line segment
a location
O intersection of a plane
none of the above
A point represents a location. A coordinate on a plane .
The intersection of two planes is a line.
Serenity's monthly bank statement showed the following deposits and withdrawals:
-−$66.85, -−$117.44, $18.84, -−$104.13, $91.23
If Serenity's balance in the account was $45.71 at the beginning of the month, what was the account balance at the end of the month?
Answer:
22.45
Step-by-step explanation:
Answer: The correct answer is -132.64
Please help me I need to get the right answer
Answer:
b. -2
Step-by-step explanation:
[tex]y =-x-2[/tex]
Let x equal 0
[tex]y = -(0) -2\\y =-0-2\\y =-2[/tex]
Answer:
B
Step-by-step explanation:
So we have the equation:
[tex]y=-x-2[/tex]
This is in the slope-intercept form, where:
[tex]y=mx+b[/tex]
m is the slope and b is the y-intercept.
From the given equation, m is -1 and b is -2.
Therefore, the y-intercept is -2.
Our answer is B
Triangle ABC is shown below. Triangle A B C is shown. The length of side A B is 2 x, the length of side B C is 4 x minus 10, and the length of side A C is 3 x minus 7. Angle A B C and B C A are congruent. What is the length of line segment AC? 7 9 14 18
The length of line segment AC of the given triangle is; 14
How to find the length of the line segment?Since Angle ABC and BCA are congruent, it means that they are equal.
An isosceles triangle is a triangle that has two equal sides and two equal base angles.
Now, since Angle ABC and BCA are equal, it means that the triangle is an isosceles triangle. It also means that sides AC and AB are equal. The expression becomes;
3x - 7 = 2x
3x - 2x = 7
x = 7
To determine the length of line segment AC. We will substitute x = 7 into 3x - 7. It becomes
(3 × 7) - 7
= 21 - 7 = 14
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What two properties are used in the following solution to 4b - 3 17?
4b-3 = 17
45-3+3 = 17+ 3
4b = 20
46 20
4-4
b = 5
A Addition Property of Equality and Division Property of Equality
B Subtraction Property of Equality and Addition Property of Equality
C Multiplication Property of Equality and Distributive Property
D Subtraction Property of Equality and Zero Product Property