Solving the quadratic function, it is found that the range is of:
between 200 and 250; inclusive
The profit for x tours is modeled by the following equation:
[tex]p(x) = -2x^2 + 900x - 40000[/tex]
It is concave down, so the monthly profit will be of at least $60,000 between the two roots when [tex]p(x) = 60000[/tex]. Thus:
[tex]60000 = -2x^2 + 900x - 40000[/tex]
[tex]2x^2 - 900x + 10000 = 0[/tex]
Simplifying by 2:
[tex]x^2 - 450x + 50000 = 0[/tex]
Which has [tex]a = 1, b = -450, c = 50000[/tex]
Then:
[tex]\Delta = (-450)^2 - 4(1)(50000) = 2500[/tex]
[tex]x_{1} = \frac{-(-450) + \sqrt{2500}}{2} = 250[/tex]
[tex]x_{2} = \frac{-(-450) - \sqrt{2500}}{2} = 200[/tex]
At least $60,000 includes $60,000, thus the interval is inclusive, and the correct option is:
between 200 and 250; inclusive
A similar problem is given at https://brainly.com/question/25181401
Translate the following phrase into an algebraic expression. Use the variable b to represent the unknown quantity.
The number of soda bottles split 5 ways
Answer:
s/5=b
Step-by-step explanation:
The required expression is n/5 = b
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given:
We have the variable b to represent the unknown quantity.
The expression,
the number of soda bottles split 5 ways.
That means,
Let n be the number of soda bottles.
So,
using division operation,
n / 5 = b
Therefore, the expression is n/5 = b.
To learn more about the expression;
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f(x)=2x-3;find f (0), and f(x-3)
Answer:
f(x) = 2x – 3
f(0) = 2(0) – 3 = -3
f(1) = 2(1) – 3 = 2 – 3 = -1
(f(0) + f(1))/2 = (-3 - 1)/2 = -4/2 (f(0) + f(1))/2 = - 2
which graph represents the equation y=-4/3x-2
Answer:Y = 3x2+ 4
When equation is in the form of y = Ax2 + Bx + C, it is in standard form.
A = 3, B = 0
Since A is positive, the graph opens upward.
Vertex is the lowest point on the graph.
The x coordinate of the vertex occurs at -B/2A
X =-B/2A = -0/2(3) = 0
To find the y-coordinate, we substitute 0 and solve for y
Y = 3(0)2 + 4 = 4
The vertex is at (0,4) ... the lowest point on the graph
From here, you can construct a table of values for x, and solve for y to obtain points on the graph.
Good x values to pick are -2, -1, 1, and 2
The domain is all the x-values for which the function is defined, The function is defined for all real values of x.
The domain is all real numbers. { x | x is a real number }
The range is all the y values obtained from input of the x-values.
The smallest y value is 4, the largest is positive infinity.
The range is all real numbers ≥ 4. { y | y ≥ 4 }
just give me the coordinates plzplzplz
Answer:
(0,4) and (5,-3)
Step-by-step explanation:
Please help on geometry
Lillian's bedroom door is 9 feet tall and 3 feet wide. A new door would cost $3.00 per square foot. How much would a new bedroom door cost in total?
Answer:
$81.00
Step-by-step explanation:
First find the square feet:
9*3= 27
Then find total cost:
27*3= 81
Hope this helps! :)
A line segment is defined by which of the following statements?
А Two rays that share a common endpoint.
B.
The set of all points that are a fixed distance from a given point.
С
All points between and including two given points.
D
A straight path connecting two points and extending infinitely in both directions.
The only given option that correctly defines a line segment is;
Option C; All points between and including two given points.
In geometry in mathematics, a line segment is defined as a part of a line that is bounded by two distinct end points.
Now, let us look at the options;
Option A; This is not correct because a line segment must have 2 distinct endpoints
Option B; This is not correct because a line segment is a part of a line and not a set of points.
Option C; This is correct because it tallies with our definition of line segment.
Option D; This is not correct because a line segment does not extend infinitely.
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A train travels at a constant rate of 45 miles per hour
What is the distance, d, in miles ,that the train traves in t hours?
Answer:
d=45t
Step-by-step explanation:
Plug 1 in for t
d=45(1)
d=45
so after one hour, the train travels 45 miles
May I please receive help?
Please?
Just find m2
Answer:
I'll assume the question says "m<1 is 12 deg. more than m<2."
Step-by-step explanation:
m<WXZ is 86
m<1 + m<2 = 86
m<1 = m<2 + 12
(m<2 + 12) + m<2 = 86
2m<2 + 12 = 86
2m<2 = 74
m<2 = 37
m<1 = 49
m<1 + m<2 = 86 [Checks]
Tan^2 0+Tan^2 30+Tan^2 60+Sin^2 0
Answer:
2.996519411885697
Step-by-step explanation:
[tex] \tan(20) + \tan(230) + \tan(260) + \sin(20) = 2.996519411885697[/tex]
mark me brainliest
solve −2 1/4⋅(−2 1/3)
a −5 1/4
b −4 1/1
c 4 1/12
d 5 1/4
Answer:
5 1/4
The answer is d (d 5 1/4)
Answer: D
Step-by-step explanation:
[tex]-2\frac{1}{4}[/tex] × [tex]-2\frac{1}{3}[/tex]
= [tex]\frac{-9}{4}[/tex] × [tex]\frac{-7}{3}[/tex]
= [tex]\frac{3}{4}[/tex] × [tex]7[/tex]
= [tex]\frac{21}{4}[/tex] or [tex]5\frac{1}{4}[/tex]
please give me a brainliest answer
What do I choose? PLEASE HELP!! Ill give brainlist, five stars and a thanks for whoever's answer is right. Please!!!!!
Answer:
6 3/4
Step-by-step explanation:
If Sarah uses 3/4 of ribbon to make one hair bow, you would need to multiply 3/4 by 9.
3/4 × 9 = 6 3/4
She will need 6 3/4 yards of ribbon.
Hope this helps! Brainliest would be really appreciated!
Given g(x)=-x+3g(x)=−x+3, find g(1)
Answer:
g(1) = 2
Step-by-step explanation:
g(x)=−x+3
g(1)=
Let x = 1
g(1) = -1+3 = 2
Determine if the following are true or false statements.
- If it is below 32° outside, then it is snowing. T or F
- If m∠2=25°, then it is an acute angle. T or F
- If two angles are supplementary, then they add up to 180°. T or F
- If two angles are complementary, then they are both 45° T or F
Answer:
1. T
2. T
3. T
4. F
Step-by-step explanation:
1. The tempature must be 0 degrees celcus or 32 degrees fahrenheit or below to snow.
2. An acute angle is less than 90 degrees
3. Supplementary angles are 2 angles that add up to 180.
4. Complementary angles are any 2 angles that add up to 90 degrees BUT they do not have to be only 45 degrees and can be any 2 degrees that add up to 90.
are two of the same looking triangle but different sizes mean they are congruent?
Answer:
No
Step-by-step explanation:
They are similar
Answer:
Congruent triangles Two or more triangles that have the same size and shape are called congruent triangles. The four triangles are congruent with each other regardless whether they are rotated or flipped. The congruence of two objects is often represented using the symbol
Step-by-step explanation:
What force would have been applied to the bus from t=16 s to t=21 s? Assume the mass of the bus was 50 kg.
Applying Newton's Second Law, it is found that the force, in Newtons, is given by:
[tex]F = 10[v(21) - v(16)][/tex]
Newton's Second Law states that Force, in Newtons, is mass times acceleration, that is:
[tex]F = ma[/tex]
In this problem, mass of 50 kg, thus [tex]m = 50[/tex]
Acceleration is change in velocity divided by change in time, that is:
[tex]a = \frac{\Delta_v}{\Delta_t}[/tex]
In this problem, we don't know the velocities, but know that time is from 16s to 21s, thus:
[tex]\Delta_t = 21 - 16 = 5[/tex]
[tex]\Delta_v = v(21) - v(16)[/tex]
Thus, the force is given by:
[tex]F = ma[/tex]
[tex]F = m\frac{\Delta_v}{\Delta_t}[/tex]
[tex]F = 50\frac{[v(21) - v(16)]}{5}[/tex]
[tex]F = 10[v(21) - v(16)][/tex]
A similar problem is given at https://brainly.com/question/18801986
Which graph best represents the solution set of y > 5/3x + 2?
Answer:
[tex]y > \frac{5}{3} x + 2[/tex]
The choice A.
I hope I helped you^_^
Find the point if intersection of these two lines using algebra.Y= -x+3 and y=3x+2
Answer:
x = 1/4, y = 11/4
Step-by-step explanation:
hope this helps
50 POINTS!
PLEASE HELP THIS MAKES NO SENSE AT ALL!! IM BEING TIMED
Answer: the last one i think if i'm wrong then im so sorry
the tennis team is selling tickets to a car wash for $6.when they do not sell very many tickets ,the team decreaces the price 25%.what is the new cost of a ticket .
Answer:
it will be $1.50 (sure yan ah diyan joke)
cora plans to buy some calligraphy pens priced at $5 each
Jessica purchased a DVD that was on sale for 12% off. The sales tax in her county is 3%. Let y represent the original price of the DVD. Write an expression that can be used to determine
the final cost of the DVD.
Answer:
0.88%y + 0.03%
K12 is how i know the answer
find the postive value of x when y = 25
write the equation of the line perpendicular to the given line y= -2/3 x + 1
since the equation of the line passing through the given point is perpendicular to the given line(m2= -1/m1)
using the formula y=mx+c
y=2/3x +1
m1=2/3
m2= -1/2/3
m2= -3/2
the slope of the second line is -3/2 and it passes through the point(3,-2)
using the formula y-y1 = m(x-x1)
y-(-2)= -3/2(x-3)
y+2= -3/2(x-3)
multiply both sides by 2
2(y+2) = -3(x-3)
2y+4 = -3x+9
2y = -3x+5
y= -3/2x + 5/2
If 35 cycles were produced in 5 days by a company then how many cycles will be produced in 21 days.
Answer:
126
Step-by-step explanation:
35/5 = 6.
6 is the number in 1 day
6x21=126
126 is the number in 21 days
Hope that helps
hihi please solve ( will mark brainliest ❥ )
Answer:
use calculator and then solve it╮(─▽─)╭
Which numbers are between -7 and 2 on a number line? Circle all that apply.
A. 2.1
B. -1
C. 0
D. -7.5
E. 3.5
F. -6.4
G. -8
Answer: See below
Step-by-step explanation:
A. 2.1 No (2.1>2)
B. -1 Yes
C. 0 Yes
D. -7.5 No (-7.5<-7)
E. 3.5 No (3.5>2)
F. -6.4 Yes
G. -8 No (-8<-7)
5 find the missing length
Answer:
A i belive
Step-by-step explanation:
DO NOT ANSWER IF YOU DO NOT KNOW
What is 1 way you can tell if two people are paying the same rate?
Answer:
By saying "paying the same rate"
I believe you want to know for example when two people are buying a product how to know if they are paying the same amount.
If so then there are a couple of factors at play.
First of all you need to identify the GDP of the product and the amount of tax/VAT which if calculated properly may help you tell if they are paying the same amount or not.
Multi-step word problems are combination of fundamental which includes hidden questions. Here, you will be able to think deeply and improve your higher order thinking skills to solve the problems. Learning Task 2. Solve the given problems. Use the 4-steps inn solving word problems. A hidden questions should be incorporated in your answer Write your solution in your notebook. 1. Mr. Fernandez earns P 28.50 per hour as an office clerk. He earns 1.75 times as his regular rate for overtime. His regular work is 40 hours per week. He gets overtime pay if he works more than 40 hours. How much is his total earning if he works 45 hours in one week? 2. Lucy earns P 1,525.00 a week. She sets aside 15% of this for savings. How much does she save in a year? (Hint: 1 year = 52 weeks). 3. Mrs. Briones has a monthly pay of 50,000.00. The withholding tax de ducted from her monthly salary is P 5,275.75. What is the actual pay she receives in a year?
The solution to the word problems given are obtained by creating a mathematical expression from the questions given. Hence, the solutions are :
$1389.375$11895$5366911.)
Regular Earning per hour = $28.50Overtime earning = 1.75 × 28.50 = $49.875Regular work hour = 40 hoursTotal work hours = 45 hours
Total earning can be defined thus :
28.50(40) + 49.875(45 - 40)
1140 + 249.375
= $1389.375
2.)
Earning per week = $1525Percentage saving = 15%Yearly saving can be calculated thus :
Weekly saving = 15% × 1525 = $228.75
Amount saved per year = $228.75 × 52 = $11895
3.)
Monthly pay = $50000Withholding tax per month = P 5275.75Actual payment received per year can be calculated thus :
Actual weekly earning = $50000 - $5275.75 = $
Actual yearly earning = 52 × $44724.25 = $536691
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