Answer:
İt is solved by using derivative
The edges of box are 20–2x,15–2x and x
Volume=(20–2x).(15–2x).x
İf you take derivative and then find the roots of derivative we obtain exstramum points that means these values make volume maximum or minimum
But
Answer is not rational
Answer:
A = 300-x^2 for area
A = 20L * 15 -x^2 for area
20L - x^2 = 300 - x^2 /15 -x^2 could also work to find length .
SIMPLIFIED
L - x = 300/20 - ( x^2 )/ 15 - x
Step-by-step explanation:
Length = L = 20 inches.
Area of one side = A = 15 X 20 = 300 cm^2
= 300 - x^2
This means the missing corner square is also squared
Simplifies to sqrt 300 - x
but as length was asked 20L * 15 -x^2
we know one side may be 15x 15
and if one side is 15 x 20
then instead of 15 x 15 it may be 15 x 20
eitherway we are looking at one side representing area of one side of the box. 300-x is our answer.
write the equation for the graph below
Answer:
the funtion is y =-x+1, while - infinite < x <=3 also the y=x-5 while 3<= x < infinite
Maya is taking trip to the mall to purchase
Some new Clothes. She can afford spending up
to $150. If she wants to buy a pair of
shoes that cost $49.50 and variety of Shirts
That cost $ 22.99 each, how many shirts can
Maya afford ?
Answer:
4 shirts
Step-by-step explanation: 150 - 49.5 = 100.5 / 22.99 = 4.3
Answer:
4shirt thats is correct i research it
Please help.. I don’t understand..
Answer:
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
the coefficient of the expression is +2 .
hope this helps.
solve this equation using completing the square method 2x^2 -x -8 =0
Answer:
¼ + ¼ √65
Step-by-step explanation:
x= ¼ + ¼ √65
or
¼ + -¼ √65
The state fair is a popular field trip destination. This year the senior class at High School A and
the senior class at High School B both planned trips there. The senior class at High School A
rented and filled 1 van and 3 buses with 80 students. High School B rented and filled 14 vans
and 1 bus with 218 students. Each van and each bus carried the same number of students. Find
the number of students in each van and in each bus.
Answer:
each bus carries 22 students
each van carries 14 students
Step-by-step explanation:
1v+3b=80
14v+b=218
eliminate b by multiplying the bottom equation by 3.
(42v+3b=654)-(1v+3b=80)=
41v=574
divide both sides by 41
v=14 (each van carries 14 students)
substitute the value of v into either of the og equations
1(14)-14+3b=80-14
3b=66
divide both sides by 3
b=22 (each bus carries 22 students)
plssss help me i cant do this stuff
Answer: See explanation: 10, 1, 1, -7
Step-by-step explanation:
I'll assume you are working with Excel. The Product function multiplies all the cells given in the specified range. Here, those are cells A2 through A5. As presnted, this would be [10*5*0*(-7)] = 0, which is the value of cell B2. If we want cell B2 to be -70, we must change one or more of the numbers in cells A2 to A5.
Initial: 10, 5, 0, -7 B2=0
Change: 10, 1, 1, -7 B2 = -70
Other combinations are possible.
Work out m and c for the line: 3 y + 6 x = − 3
Answer:
m is -2 and c is -1
Step-by-step explanation:
• Let's first phrase out the general equation of a line
[tex]{ \rm{y = mx + c}}[/tex]
m is the slopec is the y-intercept[ remember that a general line equation must be in slope - intercept form as shown above ]
• from our question, we are given the equation;
[tex]{ \rm{3y + 6x = - 3}}[/tex]
• let's make y the subject in order to make the equation in slope - intercept format.
→ remember to apply "subject making knowledge"
[tex]{ \rm{3y = - 3 - 6x}} \\ \\ { \rm{3y = - 6x - 3}} \\ \\ { \rm{ \frac{3y}{3} = \frac{ - 6x}{3} - \frac{3}{3} }} \\ \\ { \boxed{ \rm{y = - 2x - 1}}}[/tex]
• The above boxed equation is now a general equation. Let's extract out slope, m and y-intercept, c
[tex]{ \rm{m \: \dashrightarrow \: - 2}} \\ \\ { \rm{c \: \dashrightarrow \: - 1}}[/tex]
Wei has $150.00 to make a garland using 60-cent balloons. He wants to purchase 100 blue balloons and some number of white balloons. He learns that the white balloons are on sale for half price. He writes and solves an equation to find the number of white balloons he can purchase.
Which models can be used to solve the problem?
Answer:
its C
Step-by-step explanation:
will give correct answer brainliest
Answer:
(-1,3) > (3,-2)
(2,-1) > (6,-6)
(5,-3) > (-1,-8)
|x-1|+2<4 solving for x
Answer:
x < 3 and x > -1
Step-by-step explanation:
Step 1: Subtract 2 from both sides.
[tex]|x-1| + 2 - 2 < 4 - 2[/tex] [tex]|x-1|<2[/tex]Step 2: Solve absolute value.
We know x - 1 < 2 and x - 1 > -2.Condition 1:
[tex]x - 1 < 2[/tex] [tex]x - 1 + 1 < 2 + 1[/tex] (Add 1 to both sides)[tex]x < 3[/tex]Condition 2:
[tex]x - 1 > -2[/tex] [tex]x - 1 + 1 > -2 + 1[/tex] (Add 1 to both sides)[tex]x>-1[/tex]Therefore, the answer is x < 3 and x > -1.
A 3. On a recent shopping trip, you see a sale advertising 4 pairs of socks and 3 pairs of shoes for $90. Write an equation using to represent the cost of socks and y to represent the cost of shoes.
A)40x + 30y - 90
B)30x + 40y = 90
C)3x + 4y - 90
D)4x + 3y = 90
how do you factor this equation? 5x^2-36x-81
ANSWER: THERE ARE TWO SOLUTIONS TO GET THE ANSWER
THE FIRST ONE IS FACTOR BY GROUPING AND THE SECOND SOLUTION IS SOLVING USING THE QUADRATIC FORMULA.
STEP BY STEP SOLUTION:
FACTOR BY GROUPING
(5x +9) (x -9)
WRITE IN STANDARD FORM
5x^2 - 36x -81
SOLVE USING THE QUADRATIC FORMULA
Solve the equation for x by finding a,b, and c of the quadratic then applying the quadratic formula.
X= 9, -9/5
I HOPE IT HELP YOU :)
1. Solve: 67 x 109
670,000
67,000
6,700
6,700,000
Answer:
7303
Step-by-step explanation:
I just calculated 67x109 and it gave me 7303
What are some advantages and disadvantages of using this repayment plan?
Can someone pls help
Answer:
14x-13 good luck
Step-by-step explanation:
this is the answer
(9x-6)- (-5x+7)
9x-6+5x-7
9x+5x-6-7
14x-13
Natalie buys organic almonds priced at $77.00 from the grocery store. How much did she pay the cashier, if she received $23.00 in change?
Write the problem __
She paid the cashier $__
Answer:
$100
Step-by-step explanation:
77 +23= 100.
she gave the cashier a 100 dollars
Write the equation of the line in slope intercept form the line is parallel to y+x=3 and passes through the point(-12,0)
Answer:
y= -x -12
Step-by-step explanation:
change y+x=3 to the form y=-x +3
gradient= -1
*Parallel lines have the same gradient
y-coordinate = gradient (x - x-coordinate)
y-0= -1 (x- (-12))
y=-x-12
please help! i'll mark brainliest
Consider the linear function f(x) = 3x-1. Find f(0), f(1), f(2)
Answer:
f(0) = -1, f(1) = 2, f(2) = 5.
Step-by-step explanation:
f(0) = 3(0) - 1 = -1
f(1) = 3(1) - 1 = 2
f(2) = 3(2) - 1 = 5
The value of the function f(x) = 3x + 1 at x = 0, 1, and 2 will be 1, 4, and 7, respectively.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The function is given below.
f(x) = 3x + 1
The value of the function at x = 0 will be
f(0) = 3(0) + 1
f(0) = 0 + 1
f(0) = 1
The value of the function at x = 1 will be
f(1) = 3(1) + 1
f(1) = 3 + 1
f(1) = 4
The value of the function at x = 2 will be
f(2) = 3(2) + 1
f(2) = 6 + 1
f(2) = 7
The value of the function f(x) = 3x + 1 at x = 0, 1, and 2 will be 1, 4, and 7, respectively.
More about the function link is given below.
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what is 100mm to inches with work?
Answer:
3.937 inches
Step-by-step explanation:
I assume you are doing dimensional analysis. Work is attached.
If ABC - DEF, C = 5cm, b = 7cm, a = 8cm, and e = 14cm,
determine the lengths of sides d and f.
Answer:
Step-by-step explanation:
Chi saccio
5 yards 2 feet times 2
Answer:
11 yards 1 feet or 34 feet
Step-by-step explanation:
1st method:
(5 yards × 2) + (2 feet × 2)10 yards + 4 feet11 yards and 1 feet2nd method:
5 yards = 15 feet(15 feet × 2) + (2 feet × 2)30 feet + 4 feet34 feetwhich inequality is true when the value of w is 13 w-<5 -w-3>-5 -w-3>5 w->5
w > -5 shows that w is greater than -5 and since 13 is greater than -5, hence the inequality expression w > -5 is true
We need to get the equation that is true for w to be 13. This means that the required inequality expression should be w must be a positive integer.
For the Expression -w - 3 > -5
-w > -5 + 3
-w > -2
w < 2
Since w is less than 2, hence the inequality is wrong
For the inequality
-w - 3 > 5
-w > 5 + 8
-w > 13
w < -13
Since w < -13, hence the inequality is wrong
For the inequality w > -5
It shows that w is greater than -5 and since 13 is greater than -5, hence the inequality expression w > -5 is true
Learn more here: https://brainly.com/question/15816805
Solve and graph x - 2 > -5 and x - 2 < 4 on a number line
Answer:
(-3, 6)
Step-by-step explanation:
Solve x - 2 > -5 for x as follows: Add 2 to both sides, obtaining x > -3. To graph this, find -3 on the number line and put a circle there. Draw a solid line from this circle towards the right.
Solve x - 2 < 4 for x as follows: Add 2 to both sidees, obtaining x < 6. Find 6 on the number line and put a circle there. Draw a solid line from this circle to the left.
Notice that the two lines you've drawn overlap on the interval (-3, 6). This is the desired solution set.
4x-16=9-x solve for x
Answer:
5
Step-by-step explanation:
4x-16=9-x
4x+x=16+9
5x=25
5x/5=25/5
x=5
Mr Frasier worked her 40 regular hours last week, plus 4 overtime hours at the double time rate. Her gross pay was $734.40. What was her hourly rate?
Answer:
15.30 per hour
Step-by-step explanation:
The hourly rate for Mr Frasier will be $15.30.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Mr Frasier worked her 40 regular hours last week, plus 4 overtime hours at the double-time rate. Her gross pay was $734.40.
The hourly rate will be calculated as:-
Rate = 40 + 2 x 4 = 734.40
Rate = 40 + 8 = 734.40
Rate = 734.40 / 48
Rate = $15.3
The hourly rate is $15.3.
To know more about an expression follow
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12 out of 20 students prefer having a study hall. What percentage of students prefer study hall?
Answer:
2.4 %
Step-by-step explanation:
magic *poof*
Kadeem wants to ride his bicycle 52 miles this week. He has already ridden 16 miles. If he rides for 5 more days, write and solve an equation which can be used to determine xx, the average number of miles he would have to ride each day to meet his goal.
How to solve this for an equation.
The average number of miles that would be ridden to meet his goal is 7.2 miles.
Total distance = 52 miles
Distance ridden = 16 miles
Number of days left = 5 days
Let the number of miles that'll be ridden for each day be represented by x.
Therefore, the equation to solve the question will be:
5(x) + 16 = 52
5x + 16 = 52
5x = 52 - 16
5x = 36
x = 36/5
x = 7.2
Therefore, he'll have to ride 7.2 miles per day.
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A pack of 16 markers cost $3.52. How much does each marker cost?
Answer:
To find one marker
$3.52 / 16
=0.22 cents
what does it mean for statements to be logically equivalent?
Answer:
Two statement forms are called logically equivalent if they have identical truth values for each possible substitution for their statement variables.
Step-by-step explanation:
hope this helps <333
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