16. Mrs. Hunneycutt makes dog sweaters. Her profit each month is a function of the
price she charges for each sweater. Her total profits, y (in hundreds of dollars), based
on the sales price, x, can be modeled by the function y=-3x2 + 39x - 108.
Identify any zeros of the function, and interpret what the zeros mean in terms of the
situation
Answer:
The total profits will be zero at sales prices of $4 and $9
Step-by-step explanation:
∵ The function is y = -3x² + 39x - 108, where
y is the total profits of hundreds of dollars x is the sales priceThe zeroes of the function are the values of x at y = 0
→ To find the zeroes of the function above equate y by 0
∵ 0 = -3x² + 39x - 108
→ Switch the two sides
∴ -3x² + 39x - 108 = 0
→ Divide all terms by -3 to simplify the equation
∴ x² - 13x + 36 = 0
→ Let us factor the trinominal into two brackets
∵ The last term is +ve and the middle term is -ve
∴ The two brackets have (-) sign in the middle ⇒ (... - ...)(... - ...)
∵ x² = (x)(x)
∵ 36 = (4)(9)
∵ (4)(x) + (9)(x) = 4x + 9x = 13x ⇒ the value of the middel term
→ That means the factors of the trinomial are (x - 4) and (x - 9)
∴ x² - 13x + 36 = (x - 4)(x - 9)
→ Replace the trinomial by its factors
∴ (x - 4)(x - 9) = 0
→ Equate each bracket by 0 to find x
∵ x - 4 = 0
→ Add 4 to both sides
∴ x = 4
∵ x - 9 = 0
→ Add 4 to both sides
∴ x = 9
∴ The zeroes of the functions are 4 and 9
∵ x represents the sales price in dollars
∴ The sales prices which make zero profit are $4 and $9
∴ The total profits will be zero at sales prices of $4 and $9
3. A change machine contains nickels, dimes, and
quarters. There are 75 coins in the machine, and the
value of the coins is $7.25. There are 5 times as
many nickels as dimes. How many quarters are in
the machine?
Equation #1:
Equation #2:
Equation #3:
# of quarters:
Answer:
50 nickels 10 dimes 15 quarters
Step-by-step explanation:
im pretty sure
only answer 5 and 6 for brainliest
Answer:
5. Midpoint: (3.5,0.5)
Quadrant: 1st
6. Midpoint: (-5,0.5)
Quadrant: 2nd
Answer:
1.
midpoint: (3.5, 0.5)
Quadrant: 1
2.
midpoint:(-5, 0.5)
Quadrant: 2
hope this helps :)
Step-by-step explanation:
please help i don’t understand, thanks! :)
Answer:
B
Step-by-step explanation:
My best guess would be 12 tickets, but seeing as that is not an option, I see that the only similarity all of the numbers in the x column have is that they are even numbers, and B is the only option that is even as well
I need some help? I don't understand math at all.
Answer:
I think its 4 but not 100% sure.
264-10=16+52
Add 10 to both sides
264=16+62
subtract 16 from both sides
248=62
Divide and i got 4.
A box measures 4 inches by 2 inches by 6 inches .Find the volume of the box in cubic centimeters
Answer:
121.92 cm cubed
Step-by-step explanation:
all you have to do is multiply all 3 measurements to find the simple shapes volume, and then convert to centimeters using the simple 2.54 cm=1 in conversion rate
Answer:
1/36 cubic ft
Step-by-step explanation:
4 inches = 12/3 inches = 1/3 ft
2 inches = 12/6 inches = 1/6 ft
6 inches = 12/2 inches = 1/2 ft
f
[tex]f(x)2 - 5[/tex]
ASAP! I will give branilest!
1. Based on the information in the table, is the cost of the apples proportional to the weight of apples? Yes/No
pounds of apples cost of apples
2 $3.76
3 $5.64
4 $7.52
5 $9.40
2. Base on the information in the table, is the cost of the pizza proportional to the number of toppings? Yes/No
number of toppings cost of pizza
2 $11.99
3 $13.49
4 $14.99
5 $16.49
3. Write an equation for the table that represents a proportional relationship.
c =
1.50 or 1.88
3A. Use the following variables to help in your equation:
Is A the answer or T
a is for pounds of apples
t is for number of toppings
Answer:
1 = No 2 = Yes 3 = 1.88
Step-by-step explanation:
Answer:
1. Yes 2. No 3. = 1.88 .
Step-by-step explanation:
1. Possibly yes, the first table represents a proportional relationship because cost per pound of apples is the same in each row, 1.88 dollars per pound.
2. Definitely no, the second table does not represent a proportional relationship because cost per topping is not the same in each row. (An equation is =1.50+8.99 but students do not need to provide an equation.)
3. An equation relating the cost to pounds of apples is = 1.88.
Please please help me asp
Answer:
[tex]option \: b. \: is \: right.[/tex]
Answer:
the is 28 according to bdmass rule
Harold had a summer lemonade
stand where he sold small cups for
$1.25 each and large cups for $2.50
each. He made $265. If Harold sold
88 small cups, find the number of
large cups he sold.
The basketball team scored a total
Answer:
62 large cups were sold
Step-by-step explanation:
88*1.25=110
265-110=155
155/2.50=62
We would like to know the velocity of the block when it reaches some position x. Finding this requires an integration. However, acceleration is defined as a derivative with respect to time, which leads to integrals with respect to time, but the force is given as a function of position. To get around this, use the chain rule to find an alternative definition for the acceleration ax that can be written in terms of vx and dx/ dx.
Answer:
An alternative definition for the acceleration ax that can be written in terms of [tex]v_x[/tex] and [tex]\frac{dv_x}{dx}[/tex] is [tex]a_x=v_x \frac{dv_x}{dx}[/tex]
Step-by-step explanation:
We know that :
[tex]a_x=\frac{dv_x}{dt}[/tex]
Now we are supposed to find an alternative definition for the acceleration ax that can be written in terms of [tex]v_x[/tex] and [tex]\frac{dv_x}{dx}[/tex]
So, We will use chain rule over here :
[tex]a_x=\frac{dv_x}{dt}\\a_x=\frac{dv_x}{dt} \times \frac{dx}{dx}\\a_x=\frac{dv_x}{dx} \times \frac{dx}{dt}\\a_x=\frac{dv_x}{dx} \times \frac{dx}{dt} [\frac{dx}{dt}=v_x]\\a_x=\frac{dv_x}{dx} \times v_x\\a_x=v_x\frac{dv_x}{dx}[/tex]
Hence an alternative definition for the acceleration ax that can be written in terms of [tex]v_x[/tex] and [tex]\frac{dv_x}{dx}[/tex] is [tex]a_x=v_x \frac{dv_x}{dx}[/tex]
The alternative definition for the acceleration ax that can be written in terms of vx and dx/ dx is [tex]a_x = v_x \frac{dv_x}{dx}[/tex]
Chain rule:Here we used the chain rule:
It is the basic method for differentiating a composite function. Here the first factor on the right, Df(g(x)), represents that the derivative of f(x) is first found and then x, wherever it arises, is replaced by the function g(x).
So,
[tex]a_x = \frac{dv_x}{dt}\\\\ = \frac{dv_x}{dt} \times \frac{dx}{dx}\\\\= \frac{dv_x}{dx} \times \frac{dx}{dt}\\\\ = \frac{dv_x}{dx} \times \frac{dx}{dt} (\frac{dx}{dt} = v_x)\\\\ = \frac{dv_x}{dx} \times v_x\\\\= v_x\frac{dv_x}{dx}[/tex]
Learn more about time here: https://brainly.com/question/11325462
PLEASE ANSWER REALLY QUICK PLEASE?!?!?!?!
Answer:
12x -11
Step-by-step explanation:
Lets start by applying the 2/3 to the two values in the parenthesis. Doing so will yield: 4x -7 +8x -4. We can simplify this to be 12x -11
The formula = 21+ 2m is used when calculating:
a area of a rectangle
C area of a circle
b. perimeter of a rectangle
d circumference of a circle
A grocery store sells steak for $6.10 per pound. What would be the cost of 2 3/5
lb of steak?
Answer: The answer is $15.86
Step-by-step explanation: You would change 6.10 into a fraction, which is 61/10. Then you would mulitply that and that number as a decimal would be 15.86.
Answer:
$15.86
Step-by-step explanation:
You divide 6.10 by 5 and you get 1.22 then u multiply 1.22 by 3 and you get 3.66 and add 6.10 and 6.10 and 3.66 to get your answer.
Kristen is going to hire a makeup artist
(Look at the photo please will name Brainlyest)
Need help ASAP have 30 minutes
Answer:
7.25
Step-by-step explanation:
if you want to know what 1 box would be you would divide 14.50 by 2 to get 7.25 i’m sorry if i did this wrong
drag numbers to write an equation for the line in slope intercept form number is may be used once more than once or not at all
Answer:
y = -4x + 5
Step-by-step explanation:
The equation for the line, in slope-intercept form will take the following equation format which is y = mx + b.
Where,
b = y-intercept = 5 (this is where the line intercepts the y-axis, and also, x = 0 here)
m = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Use any two points on the line. Using (0, 5) and (1, 1), calculate m as follows:
m = [tex] \frac{1 - 5}{1 - 0} = \frac{-4}{1} = -4 [/tex]
Substitute m = -4, and b = 5 into y = mx + b.
y = -4x + 5
Answer:
Y=-4x+5
Step-by-step explanation:
Joaquin made four times as many goals as daniel during soccer practice today. What is the ratio?
Answer:
4:1
Step-by-step explanation:
Let the no. of goals Daniel scored be x
Hence,
No. of goals Joaquin scored = 4 x
No. of goals Daniel scored = x
Hence,
The ratio of the no. of goals scored by Joaquin to the no. of goals scored by Daniel
[tex]=\frac{4x}{1x}[/tex]
[tex]=\frac{4}{1} \\=4:1[/tex]
Mai ran 1/4 of the length of her road, which is 9 miles long. How long did Mai run?
Answer:2.25
Step-by-step explanation:
If the length of the road is 9 miles long and Mai ran 1/4 of the length of her road. Mai ran 2.25 miles.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.
It is given that,
Length of road = 9 miles
From the condition,
Mai ran 1/4 of the length of her road
Mai ran = 1/4 × length of her road
Mai ran = 1/4 × 9
Mai ran = 2.25 miles.
Thus, if the length of the road is 9 miles long and Mai ran 1/4 of the length of her road. Mai ran 2.25 miles.
Learn more about the arithmetic operation here:
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PLEASE I WILL MARK BRAINLIEST
Answer:
16 times
Step-by-step explanation:
i could give an explanation if needed
A license plate is to have the following form: 4 letters followed by 4 numbers. How many different license plates can be made, assuming that letters and numbers can be reused?
The number of different license plates that can be made will be 260⁴.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
A license plate is to have the following form: 4 letters followed by 4 numbers.
We know that the total number of letters will be 26 (A to Z) and the total basic numbers will be 10 (0, 1, ..., 9).
The number of different license plates that can be made will be
⇒ 26 x 26 x 26 x 26 x 10 x 10 x 10 x 10
⇒ 26⁴ x 10⁴
⇒ (26 x 10)⁴
⇒ 260⁴
The number of different license plates that can be made will be 260⁴.
More about the permutation and the combination link is given below.
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The ratio of boys to girls in a classroom is 7 to 11. If there are a total of 49 boys in the classroom, then how many boys and girls are there all together?
Answer: 65
Step 1: Multiply and add until you get 49.
11 x 4 = 44.
44 + 5 = 49.
Step 2: Multiply and add until you get 26, because 7:11 to 49 boys is 26, 26 : 49.
7 x 3 = 21.
21 + 5 = 26.
Step 3: Add 26 and 49.
26 + 49 = 65
Answer:
126 students
Step-by-step explanation:
Boys : Girls
7 : 11
How do you get from 7 to 49?
49 ÷ 7 = 7
Therefore, you should multiply the number of boys by 7.
Multiply:
7 : 11
7 × 7 = 49
49 : 11
Remember that whatever we do to the left, do to the right.
Multiply:
49 : 11
11 × 7 = 77
49 : 77
Now, let's add the number of boys and girls in the class to find the total number of students.
Add:
49 + 77 = 126
Therefore, there are 126 students in all.
Please help me answer this
Answer:
a) 10:10 a.m.
b) 10:20 a.m.
c) 10:50 a.m.
d) math class is 60 minutes (1 hour) long
Step-by-step explanation:
can someone help me solve please.. thanks..
Answer:
see below
Step-by-step explanation:
f(0) means x=0
We use the f(x) when x<5
f(0) = 0+4 = 4
f(6) means x=6
We use the f(x) when 5≤x<7
f(6) =8
Consider the sequence of steps to solve the equation:
7x
5(x - 3) =
Step 1 = 10(x - 3) = 7x
Step 2 = 10x - 30 = 7x
Step 3 = 3x - 30 = 0
Step 4 = 3x = 30
Step 5 = x= 10
Identify the property of equality which yields Step 5.
A)
Division Property
B)
Addition Property
C)
Subtraction Property
D)
Multiplication Property
A body is floating in seawater with 2/3 of its volume above the surface. The weight of the displaced water is?
Answer:
The weight of the displaced water is the weight of the body
Step-by-step explanation:
In situations like this, the volume of the displaced water is not important.
However, it should be noted that when a body is immersed (fully or partially) in a liquid, the weight of the displaced liquid is equal to the weight of the body immersed in the liquid.
Since the weight of the body is not given, I'll conclude that the displaced water has the same weight as the body floating on the water.
48 on shelves how many on 12 shelves
Answer:
Step-by-step explanation:
If there are 48 books on shelves
Then number of books in 12 shelves
= 48 ÷ 12 = 4 books
Answer:
576
Step-by-step explanation:
because 48 books on each shelves 48×12=576
what is the rule that describes this pattern of numbers -10,000; -1,000; -100; -10; -1; -0.1; -0.01; -0.001
Each number is one-tenth the number to its left.
Each number is 10 more than the number to its left.
Each number is 10 times the number to its left.
Each number is one-tenth the number to its right.
Answer:
Each number is one-tenth the number to its left.
Step-by-step explanation: -1,000 is one tenth of -10,000 for example
The body of 150lb person contains 2.3x10-4 lbs of copper. How much copper is contaned
20-21_P00117979_TFA_G10_MTH_E_GeometricProofsPrep ( Items
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Exit Testing
8.
Angle 1 and Angle 3 are vertical angles. The measure of Angle 1 is (3x +72)' and the measure of Angle 3 is (6x)". What is
the value of x?
A2
B
8
C. 12
D.24
Time Remaining: 00:38:15
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6
Answer: on angle 1 x=12 and on angle 3 x=24
Step-by-step explanation: i think