Answer: The price of maximum sales is $160
Step-by-step explanation:
This question requires you to find the vertex of this equation. The vertex of a parabola is the point where the parabola crosses its axis of symmetry.
since the coefficient of the [tex]x^2[/tex] term is negative, the vertex will be the highest point on the graph.
this quadratic equation is in standard form: [tex]y = ax^2+bx+c[/tex].
From this, we can derive:
[tex]a = -3[/tex]
[tex]b = 60[/tex]
[tex]c = 1060[/tex]
First, determine the axis of symmetry ([tex]p[/tex] is the variable for the horizontal axis ([tex]x[/tex]) in this instance). This will be our x-coordinate of the vertex.
[tex]p = \frac{-b}{2a}[/tex]
[tex]p = \frac{-(60)}{2(-3)}[/tex]
[tex]p = \frac{-60}{-6}[/tex]
[tex]p=10[/tex]
Then, substitute the axis of symmetry into the function to find the y coordinate of the axis of symmetry. r stands for the variable for the vertical axis in this instance. This will be our y-coordinate of the vertex.
[tex]r = -3(10)^2+60(10)+1060[/tex]
[tex]r = 160[/tex]
As we have determined both the x and y coordinate of the vertex for this equation, we can determine that the maximum point is at [tex](10, 160)[/tex].
the maximum price ([tex]r[/tex]) is 160
A tank can be filled in 22 and a fifth minutes. What fraction of it will be filled in 21 min
Answer:
I believe the answer is about 95 percent.
Step-by-step explanation:
The reason for this answer is because as said 22 and a fifth would mean the tank is full. This means I set up a proportion. What I did was...
22 1/5 over 100 = 21 over x
Now: I do 21 multiply by 100 divided by 22 1/5 to get the answer
What I just wrote is the rule of proportions
Finally, after doing all of that, the answer I got was 94.59459459, but I rounded to the answer of 92 percent.
can someone help me on this problem what does it mean by a “smaller zero”? what is the zero
Answer:
(c) -2/5
Step-by-step explanation:
A "zero" or "root" or "x-intercept" of a function is a value of the independent variable (x) that makes the function (f(x)) have a value of zero. It is found where the graph of the function crosses the x-axis.
A quadratic function will have two (2) zeros. If they are different, one will be smaller than the other (leftmost on the number line).
Difference of squaresYou may recognize that 25x² and 4 are both perfect squares, (5x)² and 2², respectively. That means the expression (25x² -4) is the difference of squares.
The difference of squares is a special polynomial form, useful for the way it factors:
a² -b² = (a -b)(a +b)
Here, that means the factored form of f(x) is ...
f(x) = (5x -2)(5x +2)
Zero product ruleThe "zero product rule" says a product can only be zero if one or more factors is zero. This is exceptionally useful for determining the zeros of a polynomial function from its factored form.
It tells us f(x) = 0 only when one of (5x-2) = 0, or (5x+2) = 0. These are simple equations to solve to find the corresponding values of x:
5x -2 = 0 ⇒ 5x = 2 ⇒ x = 2/5
5x +2 = 0 ⇒ 5x = -2 ⇒ x = -2/5
Zeros of f(x)The above tells us the zeros of f(x) are -2/5 and 2/5. These values of x make f(x) = 0. The smaller zero is the one that is more negative: -2/5.
smaller zero: -2/5
__
Additional comment
A polynomial may have complex zeros. Only the real zeros will be x-intercepts on a graph of the function. Complex zeros must be found another way, not by graphing.
There is a pair of parallel sides in the following shape.
What is the area of the shape?
Answer:
ok so 9x5 = 45 so 45 is the area and the perimeter is 9 + 9 + 9 + 9 which is = to 36
Step-by-step explanation:
Correct answer gets BRAINLIEST
Answer:
The perimeter is 380 ft^2.
Step-by-step explanation:
To find the perimeter of a rectangle, you have to use the 2(a+b) formula as a method of solving. This formula can also be written as a+b+a+b or 2a+2b.
To solve it, you input a as 51 and 139 as b, though this doesn't really matter all too much. Using the previously stated formula, you should get 2(51+139). Solving what's in the parenthesis first (51+139), you should get 190.
Now, you should have the answer 2(190). Finishing off the equation and multiplying 2 by 190, your answer will be 380 ft^2.
GIVING BRAINLIEST!!!
Jenna is surveying the number of trucks in parking lots. One parking lot has 9 trucks and a total of 36 vehicles. Based on her survey, how many can she predict will be trucks?
A. 26
B. 3
C. 77
D. 416
ASAP (I will give brainliest for most accurate answer) move the options to the blank to complete the series of transformations that will show triangle abc - def
Answer:
1. is 2
2. is right and 10
Step-by-step explanation:
just took the test will explain if needed
From the triangles given, ∆ DEF was dilated to ∆ ABC
The dilated triangle is = ∆ ABC
To find the scale factor uses for the dilation of the triangle, the length of the triangle AC and DF are considered.
AC from the scale= -2 -(-7)
= 7-2= 5
DF= 9-6.5
= 2.5
Therefore the scale factor = 5/2.5 = 2
And since the scale factor of dilation is 2 this means that ∆ A' B' C' can be translated to the 0.5 by 2 units.
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WILL GIVE BRAINLIEST!!! Write each of the following expressions without using absolute value.
|z-7|-|z-9| if Z is less than 7
Answer:
If z<7, then z-7 is negative, and |z-7| is positive. So, with the understanding that z-7 is positive, the first part of this expression becomes:
7-z for z<7
Similarly: if z<7, then z-9 is negative and |z-9| is positive. Thus, -|z-9| is equivalent to (9-z).
|z−7|−|z−9|, if z<7 becomes (7-z) - (9-z) for z<7. Simplifying this, we get:
7 - z - 9 + z = -2
Answer:
7 - z - 9 + z = -2
A weather forecast states that there is a 20% probability of rain on each of the next 3 days.
Complete the description of a simulation you could perform using random numbers to find the experimental probability that it will not rain on any of the next 3 days.
To simulate a 20% probability of rain over 3 days, let
of 10 numbers represent a day with rain. So,
of the numbers represent a day without rain. Then, perform multiple trials, generating
random numbers for each trial.
Brainliest! Help, thanks! Answer quickly
What is the lowest common denominator for these fractions?
4/5 and 3/10
A.5
B.10
Answer:
B.10
Step-by-step explanation:
PLEASEE NEED HELP THE QUESTION NEEDS TO BE DONE LIKE NOWW!! :))
Answer:
2,-2;-4,-2;-5;-5
Step-by-step explanation:
Answer:
The first is (-5,5) the second is (-4,2) and the third (2,2)
I NEED HELP ASAP!!! ^^ ( I WILL GIVE BRAINLIEST)
Answer:
320 ft³
Step-by-step explanation:
volume = (area of base) × (height of prism)
volume = bh/2 × (height of prism)
volume = (6 2/3 × 8/2 × 12) ft³
volume = 320 ft³
Answer:320 ft³
Step-by-step explanation:
Can anyone help with this problem?!
Answer:
1) 24 2) 65
Step-by-step explanation:
1) 40-8x when x=2
8*2=16
40-16=24
2) 65/p*3 when p=5
65/5= 13
13*5= 65
Hope this helps ^^
6) a. 40-8x
= 40-8(2) ← [8 x 2]
=40-16
=24
In your class, 7 students do not receive a weekly allowance,5 students receive $3 , 7 students receive $5, 3 students receive $6 , and 2 students receive $8 .
a. What is the mean weekly allowance?
The mean weekly allowance is______
dollars.
Answer:
The mean weekly allowance is $3.5
Step-by-step explanation:
to find the average, we add up everything, and divide it by how many students there are.
0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 8, 8 <- this is what you add up
you get 84. Then you divide this amongst all of the students.
7+5+7+3+2=24
84/24 = 3.5
Please give brainliest!
Hope this helps :)
Please help find out what the percentage is
Answer:
1.68% of people would want a longer day
20% of people would want more foreign languages
24.6% of people would want more science
25.8% of people would want longer lunch
27.92% randomly selected
Step-by-step explanation:
ill give brainly HURRY
The cost of a cleaning service includes labor and supplies. Supplies are 30% of the total cost. The cost of supplies for a certain cleaning service is $54.
What is the total cost of the cleaning service?
Enter your answer in the box.
Answer:
The total cost of the cleaning service is $180
Step-by-step explanation:
We have, 30% × x = 54
or,
30/100 × x = 54
Multiplying both sides by 100 and dividing both sides by 30,
we have x = 54 × 100/30
x = 180
If you are using a calculator, simply enter 54×100÷30, which will give you the answer.
PLS HELP! I will give brainliest if correct!
What is the surface area of the three-dimensional solid you created?
35 cm2
56 cm2
72 cm2
90 cm2
Answer:
72 cm²
In order to find the surface area of rectangular prism
rectangular prism surface area: 2(LW + HW + HL)
Identify following sides:
Length: 6 cmWidth: 3 cmHeight: 2 cmSolve for surface area:
2(6*3 + 2*3 + 2*6)2(18 + 6 + 12)2(36)72 cm²PLEASE HELP AS SOON AS POSSIBLE
I was supposed to post this earlier! (WILL GIVE BRAINLIEST)
Even If your wrong I will still give credit because Your amazing! ^^
Answer:
Volume of the prism = lwh
l = length = 2 cm
w = width = 3 cm
h = height = 7 cm
—
Volume = 2x3x7 = 42 cm³
—
Have a nice day!!
Answer:
the other person is right- 42 cm³
i took the test it should be that
vEASONING Consider the stem-and-leaf plot shown.
Stem Leaf
0 2 3
1
2 1 6
3 0 4 6
4 4 5 8 8 9
Key: 4 | 8 = 48
a. How many data values are at most 10?
Number of data values:
Question 2
b. How many data values are at least 30?
Number of data values:
Question 3
c. How are the data distributed?
Answer:
5 is the answer
Explain your answer.
Answer:
60%
Step-by-step explanation: Because the graph flattens out at about 60% meaning that that is the most likely percentage.
In the figure below, what is m∠DAC? A. 47 B. 57 C. 90 D. 137
your answer would be 47
please let me know if i was wrong :)
John runs 7 miles in 67 minutes. How many miles does he run per minute?
14.36: Tyler has entered a buffet line in which he chooses one kind of meat, two different vegetables, and one dessert from the selections below. If the order of food items is not important, how many different meals might he choose? Meat beef, chicken, pork
Vegetables: baked beans, corn, potatoes, tomatoes
Dessert:brownies, chocolate cake, chocolate pudding, ice cream
Answer:
72 different meal optionsStep-by-step explanation:
We have a choice of
1. Meat - 1 of 3 options2. Vegetables - 2 of 4 options3. Dessert - 1 of 4 optionsTotal number of meal combinations is
Meat*Vegetables*Dessert = 3C1*4C2*4C1 = 3*6*4 = 72A pyramid has a volume of 1,944 inches cubed and a rectangular base with the dimensions 18 inches by 9 inches. What is the height of the pyramid? 4 in. 12 in. 24 in. 36 in.
Answer: 4 inches
Step-by-step explanation: 1,944 / 18/ 9 / 1/3 = 4
Based on the calculations, the height of this pyramid is equal to: D. 36 inches.
Given the following data:
Volume of pyramid = 1,944 cubic inches.Dimensions of rectangular base = 18 inches by 9 inches.How to calculate the height of this pyramid?Mathematically, the volume of a pyramid is calculated by using this formula:
Volume = 1/3 × b × h
Where:
b is the base area.h is the height.For the base area, we have:
Base area = length × breadth
Base area = 18 × 9
Base area = 162 square inches.
Substituting the given parameters into the formula, we have;
1,944 = 1/3 × 162 × h
1,944 = 54h
h = 1,944/54
Height, h = 36 inches.
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Which number line shows all the values of y that make the inequality -6y - 2 > 10 true?
ill give brainly but hurry-
Answer:
I'm answering, give me a sec
Step-by-step explanation:
(PLS HELP MY TEACHER WANTS ME TO PASS THIS!!)
Which relation is NOT a function?
A. {(0, 0), (1, 1), (1, 2)}
B. {(0, 1), (2, 2), (3, 1)}
C. {(1, 0), (3, 3), (0, 1), (2, 3)}
D. {(3, 8), (6, 11), (8, 3), (11, 6)}
Answer:
A
Step-by-step explanation:
Because 1 has more than one output, first they are putting 1 and 1 together, next they are putting it with 2, 1 has more than one output.
Answer:A has 2 pairs of "1" x-coordinates so it is NOT a function.
Step-by-step explanation:
The price of one share of Acme Company declined $2 per day for 4 days in a row. How much did the price of one share change in total after the 4 days?**Just write the negative or positive number (Example. -1 or 1)
its either -8 or 8 im not sure which good luck tho!
Find surface area will give branliest if answer is right.
Answer:
66 in^2
Step-by-step explanation:
HELP FAST !! What is the correct answer? I think that it’s the last one.
Answer: The third one
Step-by-step explanation: 1/21(z)=42 z=882. If you check each equation with each other the answer is correct. Also 882/21=42
Answer:
C or D
Step-by-step explanation:
its either one of those two but go woth which ever you thuink
