squares of side x are cut from each corner of an 8 inches x 5 inch in rectangle, so that its sides can be folded to make a box with no top. define a function in terms of x that can represent the area of the base of the box
Answer:
When we do not have anything cut of the rectangle, the area is:
8in*5in = 40in^2.
Now, when we cut squares of length x in the corners, the measures of the base will be:
8in - 2*x
5in - 2*x
We subtract two times x in each case because we cut the squares in the four corners. (below you can see a drawing of this situation, where the doted rectangle is the area that we want to calculate)
Then the area as a function of x is:
A = (8in - 2*x)(5in - 2*x) = 40in^2 + 4*x^2 - 26*x
Can someone please help me on this I’m not sure if what I is the correct answer someone help
Answer: you got it right, it is the one that is blue highlighted.
Find x if f(x) = 2x + 7 and f(x) = -1.
A.5
B.-4
C.-4
Answer:
x = - 4
Step-by-step explanation:
Hi there !
if f(x) = 2x + 7 and f(x) = -1 =>
2x + 7 = - 1
2x = - 1 - 7
2x = - 8
x = - 8 ÷ 2
x = - 4
Good luck !
Which table represents a linear function? DIFFERENT THAN OTHER QUESTION
Answer:
the first table
Step-by-step explanation:
because there's one output for every input
all the numbers under y are imcresing by the samw number(3)
35 POINTS WILL MARK BRAINLIEST!!!
Please solve it from the picture below!!
TRUE/FALSE: A sales tax and a tip are amounts that are subtracted from your cost. Group of answer choices True False
Fill in the blank?!?!? PLEASE HELP ME SOON AS POSSIBLE
Answer:
5
Step-by-step explanation:
mark braniac
Answer:
x = 5
Step-by-step explanation:
let's take the blank as x
(-2+5) (x)/3 = 5
3 × x/3 = 5
cross multiply
3x = 15
x = 5
Which of the following pairs of angles are corresponding angles?
1. <1 and <7
2. <4 and <6
3. <1 and <3
4. <3 and <7
Answer:
4. <3 and <7
Step-by-step explanation:
Corresponding angles are any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal, and angles 3 and 7 were the only angles that matched this criteria.
Hope this helps :)
Indicate the equation of the given line in standard form. The line with slope 9/7 and containing the midpoint of the segment whose endpoints are (2, -3) and (-6,5).
Answer:
what are the choices A,B,C,D
What is the sum?
5 +3 +4 =
Answer:
12
Step-by-step explanation:
5+4 is 9, and nine plus three is twelve
Answer:
12
Step-by-step explanation:
Simple meths
Deon throws a ball into the air. The height h of the ball, in meters, at time t seconds is modeled by the function h(t)=-5t^2+2t+39
Will the ball reach height of 41 meters. What is the discriminate?
Please help me, please
Answer:
The ball will not reach a height of 41 meters.
The discriminate is 784
Step-by-step explanation:
You know that the height h of the ball, in meters, at time t seconds is modeled by the function h(t) = - 5*t² + 2*t + 39
To find out if the ball will reach a height of 41 meters, you must calculate the maximum of the function, that is, the highest or highest point on the graph. That is, the maximum in a function f is the largest value that the function takes.
The vertex is a point that is part of the parabola, which has as its ordinate the maximum value (as in this case) or minimum value of the function. That is, the vertex is the maximum of the function (as in this case) or minimum.
In this case, the maximum of t is obtained by:
[tex]t=\frac{-b}{2*a}[/tex]
Being a=-5 and b=2 (comparing with a quadratic function of the form: f(x)=a*x² + b*x +c)
[tex]t=\frac{-2}{2*(-5)}[/tex]
t= 0.2
The maximum height value must be obtained by substituting the previously calculated value of t in the function:
h(0.2) = - 5*0.2² + 2*0.2 + 39
h(0.2)=39.2
So the maximum height the ball will reach is 39.2 meters. The ball will not reach a height of 41 meters.
The discriminate of a quadratic function is:
Δ=b²-4*a*c
In this case, being a=-5, b=2 and c=39, the discriminate is:
Δ=2²-4*(-5)*39
Δ= 4+780
Δ= 784
The discriminate is 784
The first derivative test is the process of analyzing functions using their first derivatives in order to find their extreme point.
No, ball can not reach at height of 41 meters.
Since, The height h of the ball, in meters, at time t seconds is modeled by the function [tex]h(t)=-5t^2+2t+39[/tex]
To find maximum height where can ball reach. We use first and second derivative test.
[tex]h(t)=-5t^2+2t+39\\\\\frac{dh}{dt}=-10t+2[/tex]
Now, equate above derivative to zero.
[tex]-10t+2=0\\\\t=1/5[/tex]
Now, find second derivative
[tex]\frac{d^{2}h }{dt^{2} } =-10[/tex] , Which is less than zero.
Therefore, at t= 1/5 second , will give maximum height that can ball reach.
So, h(1/5) = 39.2 meters.
That is, ball can reach at 39.2 meters.
Learn more:
https://brainly.com/question/16944025
An author only uses the author's craft when they are writing non-fiction texts. (Easy question for easy points)
Answer:
What he said
Step-by-step explanation:
Is this a true or false???
Question 1 of 10
On a timeline, a milestone 6 years in the future will be to the
of a
milestone 3 years in the future and to the
of a milestone 12 years
in the future.
O A. right; right
O B. left; left
C. right; left
D. left; right
Answer: right, left
Step-by-step explanation:
There are 11 kids at a birthday party. If there are 6 girls and 5 boys at the party, what fraction of the kids are girls?
Answer:
6/11
Step-by-step explanation:
Fraction that are girls
girls/ total
6/11
Answer:
6/11
Step-by-step explanation:
5+6=11 girls =6 so 6/11
Which expression is shown by the model? 28 + 14 = 7 (4 + 14) 28 + 14 = 4 (7 + 2) 28 + 14 = 4 (14 + 28) 28 + 14 = 7 (4 + 2)
Answer:
ay
Step-by-step explanation: step by step
Buddie is filing his federal income tax return with the 1040EZ form using the Single filing status, and nobody can claim him as a dependent. If he had wages, salaries, and tips of $53,100, taxable interest of $230, and no unemployment compensation, what should he enter on line 6 of the Income section below?
A.
$0
B.
$43,980
C.
$34,630
D.
$53,330
Answer: $43,980
Step-by-step explanation:
APEX
Answer: B) $43,980
Step-by-step explanation:
Demon Slayer
You've w How many solutions does this equation have? 10y = 10y - 2
no solution
one solution
infinitely many solutions
Answer:
no solution
Step-by-step explanation:
Subtract 10y from both sides of the equation:
10y -10y = 10y -10y -2
0 = -2 . . . . FALSE
There are no values of y that will make this be true. The given equation has NO SOLUTION.
f(3) = 5x + 3. Find the inverse of f(x).
O A. f-'(x) =
B. -1 (2) = 3 – 52
O c. f-'(x) =
OD. f-1(x) = 5x – 3
give the equivalent decimal 4/8
Answer:
the answer would be 0.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
.5
4/8 can be reduced to 1/2 which is equal to 5/10, which pretty much means .5
PLEASE HELP ME THIS IS DUE IN 20 minutes !!! Which relation is a function?
Answer:I may not be right but i think it D Im sorry if im wrong
what is the slope of the line containing the points (1,-1) and (3,3)
Answer:
1
Step-by-step explanation:
1111111111111111111
find the equation of this line
Answer:
y= 1x-2
Step-by-step explanation:
The slope is 1.
The y- intercept is (0,-2)
In the equation
y= 1x-2
Hope this helps!
Help please! I forgot to study..
Answer:
9 x (4+9)
9(4) + 9(9)
36 + 81 = 117
Distribute (multiply) your first value to the values
good luck
Answer:
117
Step-by-step explanation:
9 × 4 = 369 × 9 = 81Re-write the expression: 36 + 8136 + 81 = 117I hope this helps!
. What value/s of x make x2 + x - 12 = 0 true?
a. 1 and -2 b. 3 and -4
c. 5 and -6
B. 3 and -4 is the answer.
The average a of two numbers c and d is equal to half the sum of c and d
Answer:
[tex]\frac{c + d}{2}= \frac{c + d}{2}[/tex]
Step-by-step explanation:
Required
Write the given statement as an equation
To start with, we solve for the average of c and d
[tex]Average = \frac{\sum x}{n}[/tex]
[tex]Average = \frac{c + d}{2}[/tex]
Next, is to determine half sum
[tex]Half\ sum = \frac{c + d}{2}[/tex]
Since both are equal; we have"
[tex]\frac{c + d}{2}= \frac{c + d}{2}[/tex]
The above shows that the statement is true
How many apples are the
simplify by combining like terms: 7- (6x+3)
Answer:
Step-by-step explanation:
7 - (6x + 3)
7 - 6x - 3 = 4 - 6x
Is 21, 28,35 the sides of a right triangle?
Answer:
yes
Step-by-step explanation:
divide each by 7 =
21/7 = 3
28/7 =4
35/7 = 5
3,4,5 are always a perfect triple, and multiples of 345 are perfect triples as well. Therefore, they are sides of a right triangle.
La siguiente tabla representa la velocidad de un coche en función del tiempo:
Tiempo
(segundos)
x
Velocidad
(m/s)
f (x)
15
45
22
66
29
87
36
108
La tasa media de cambio de la función entre x a 15 a x x 29 es __________m/s2 y representa la aceleración del coche.
Fnfjfjf
Step-by-step explanation:
3. The math department needs to buy new textbooks and laptops for their
classrooms. The textbooks cost $116.00 each and the laptops cost
$439.00 each. If they need to purchase 30 textbooks and have $6500
to spend, what is the greatest number of laptops they can buy?
Write an inequality and solve.
Let they be x.
Cost of textbooks + laptops cant greater than total amount.
(cost of 1 textbooks * number of textbooks) + (cost of 1 laptop * number of laptops ≤ 6500
(30*116) + (x*439) ≤ 6500
3480 + 439x ≤ 6500
439x ≤ 3020
x ≤ 6.8(approx)
Last natural number is 6, says, they can buy 6 laptops at max.
