Answer:
Lucy cuts 4 squares with side length x in. from the corners of a 6 in. by 9 in. cardboard rectangle. She folds the remaining cardboard to make a tray that is x in. high. Write and simplify a polynomial function for the volume V
Step-by-step explanation:
9v
The polynomial function for the volume V of the tray in terms of x will be;
⇒ 4x³ - 30x² + 54x
What is Function?
A relation between a set of inputs having one output each is called a function.
Given that;
Lucy cuts 4 squares with side length x inch from the corners of a 6 inch by 9 inch cardboard rectangle.
She folds the remaining cardboard to make a tray that is x inch high
Now,
By the give condition we get;
Length of tray = 9 - 2x
Width of tray = 6 - 2x
Height of tray = x
So., The volume of the tray is expressed as;
Volume = x (9 - 2x) (6 - 2x)
= x (54 - 18x - 12x + 4x²)
= x (54 - 30x + 4x²)
= 4x³ - 30x² + 54x
Thus, The polynomial function for the volume V of the tray in terms of x will be;
⇒ 4x³ - 30x² + 54x
Learn more about the volume visit:
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Which of the following is the proper name for the figure below?
s
E
A. ADSK
B. ADKM
C. ADME
D. ADOM
Answer:
ADOM IS THE ANSWER OF THIS QUESTIONS
A bag contains 120 marbles. Some are red and the rest are black. There are 19 red marbles for every black marble. How many red marbles are in the bag?
Answer:
6
Step-by-step explanation:
brainest plz
what are the coefficients of 4x -7 - 8x +17
i need help finding the value of x and the measure of each angle
Answer:
x=7, angle a= 45 degrees, angle b= 65 degrees
Step-by-step explanation:
All the angles in a triangle must add up to 180. Subtract 70 from 180, add both angle a and angle b to get 16x-2=110, solve for x, x=7. Substitute x out for 7 in the equations then simplify to get angle a=45 and angle b=65
Answer:
x = 7
m∠B = 65
m∠A = 45
Step-by-step explanation:
So we know that the inside of a triangle equals 180º. So we have one angle already, 70º, so what we can do is subtract 70 from 180.
180 - 70 = 110
Now we can set both equations equal to 110.
2 + 9x + 7x - 4 = 110
Now simplify.
2 + 9x + 7x - 4 = 110
2 + 16x - 4 = 110
16x - 2 = 110
+2 +2
------------------
16x = 112
÷16 ÷16
-----------------
x = 7
So now you can just plug 7 in for x to check your answers
2 + 9(7) = 65
7(7) - 4 = 45
65 + 45 + 70 = 180
The ratio of girls to boys in a class is 3:2. There are 25 students in this class. How many are girls and how many are boys? REPOST FOR ATTENTION
Answer:
15:10
Step-by-step explanation:
consider the starting point: we have 3 bots and 2 girls. this gives a total count of 5 so we need to see how many lots of 5 will fit into 25. 5 lots of 5 gives 25 so we have 5 lots of the ratio 3:2 Method: 5 lots of 3:2: 5 x (3:2)=(5 x 3):(5 x 2)= 15:10
Which of these triangles appears not to be congruent to any others shown
here? Check all that apply.
i need help!
Answer:
B, C, F
Step-by-step explanation:
B- has different lengths for each side and different angles
C-has different lengths for each side and different angles
F-has different lengths for each side and different angles
Non congruent triangles means if shape is reflected or rotated they would not look the same. Congruent triangles have same equal length and angles are equal in measure.
a keyboard that costs 475 is on sale for 175. How much money will you save buying it on sale?
Answer:
$300
Step-by-step explanation:
First, you subtract 475 and 175.
Which equals 300. That means that you saved $300.
Answer:$300
Step-by-step explanation:
475 (base price) - 175 (sale price)
=300 (saved price)
Select the correct answer. A model rocket was launched from the top of a building. The rocket's approximate height can be modeled by the quadratic equation h = -4.9t2 + 53.9t + 127.4, where h is the rocket's height, in meters, after t seconds. When factored, this equation is h = -4.9(t - 13)(t + 2). What is a reasonable time for it to take the rocket to land on the ground? Answer A 11 seconds Answer B 13 seconds Answer C 2 seconds Answer D 15 seconds
Answer:
13 seconds.
Step-by-step explanation:
Given
[tex]h = -4.9(t - 13)(t + 2).[/tex]
Required
Determine a reasonable solution for t
To do this, we equate h to 0.
[tex]h = -4.9(t - 13)(t + 2).[/tex] becomes
[tex]0 = -4.9(t - 13)(t + 2).[/tex]
Divide through by -4.9
[tex]0 = (t - 13)(t + 2).[/tex]
Reorder the expression
[tex](t - 13)(t + 2) = 0.[/tex]
Split
[tex]t-13 = 0[/tex] or [tex]t + 2 = 0[/tex]
This gives:
[tex]t = 13[/tex] or [tex]t = -2[/tex]
But time can't be negative, So:
[tex]t = 13[/tex]
A furniture store owner buys a sofa for $400 and marks it up %90 to sell it. During the stores anniversary sale she sells the sofa for %25 off. How much profit will the store owner make on the sofa during the anniversary sale?
Answer:
Anniversary sale price= $570
Step-by-step explanation:
Giving the following information:
Purchase cost= $400
Mar-up percentage= 90%
First, we need to calculate the "normal" selling price:
Selling price= 400*1.9= $760
Now, we can determine the anniversary sale price:
Anniversary sale price= 760 - (760*0.25)= $570
SOMEONE PLEASE HELP ME OUT WITH THIS PLEASE PLEASE PLEASEE I WANT TO PASS AND I DONT KNOW THAT ANSWER
Answer:
A and D
Step-by-step explanation:
C
i gotta add words so i meat the 20 character limit :)
...............................................
Answer:
3p = 1/2
Step-by-step explanation:
Left side: 3pRight side: 1/2Because they're balanced, the right and left side are equaledSo, 3p = 1/2I hope this helps!
Find the slope of the line
Answer:
3/4
Step-by-step explanation:
4(3n-2)=what and explain by righting out. each step
Answer:
12n - 8
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyStep-by-step explanation:
Step 1: Define Expression
4(3n - 2)
Step 2: Expand
Distribute 4: 4(3n) - 4(2)Multiply: 12n - 8Answer:
4(3n-2)
=> 12n-8
=> 12n=8
=> n=8/12
=> n= 2/3
Ann and Ruth bowled together and had a combined score of 410 points. Ann's score was 44 points less than Ruth's score. Write a system of equations that can be used to determine x, Ann's score and y, Ruth's score.
Answer:
x=y-44 and x+y=410
Step-by-step explanation:
So, you want to use the equations x=y-44 and x+y=410 when x is Ann's score and y is Ruth's score. This is because x (Ann's score) is Ruth's score (y) but 44 less, so you subtract y-44 to get x. Then x+y would also have to equal 410 so that's the other equation. Graphing the 2 equations gets you to the point (183,227) in which Ann's score is 183 points and Ruth's score is 227 points.
Mrs. Gildner brought everyone that passed their Math test to Cold Stone Creamery for a treat. The cost for everyone to ice cream was $154.00. If she leaves a 15% tip, how much tip will she leave?
A. $130.90
B. $177.10
C. $139.00
D. $23.10
What is the slope of the line on the graph?
Enter your answer in the box
I will brainlist thing to who ever answers this correctly
Answer:
none.
Step-by-step explanation:
if you examine the dots and solve, they are not equivalent
also it doesn't pass through the orgin
2933445 + 9398988989
Answer:
9,401,922,434
Step-by-step explanation:
Answer:
the answer its 9.401.922.434
I hope helps you and if you want and consider you can give me a brainly crown
a tree of 14 m height is broken so that its top touches ground and makes an a 60 degeree.find the length of broken part of tree
Answer:
98 - 24√3 is your answer dear.
Step-by-step explanation:
Let the length of broken part of the tree = 14 - x
For finding x
sin60° = √3/2 = x /14-x
14√3 - √3x = 2x
14√3 = 2x + √3x
14√3 = (2 + √3)x
x = 14√3/(2 + √3)x
after rationalisation
x = 24√3 - 84
substract it 14 - (24√3 - 84)
YOU'LL GET 98 - 24√3 WHICH IS YOUR ANSWER.
Help me plz grades are almost due
Answer:
D. 348 square units
Step-by-step explanation:
D. 348 square units
Answer 432: B
Step-by-step explanation: You have to multiply
9 times 6 times 8.
b. Which is an equation for the line? *
Answer:can see the line
Step-by-step explanation:
if it is linear it is =Ax+By=C
holaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
HIIIIIIIIIIII
Step-by-step explanation:
HELP PLEASE. what is the solution to this as an ordered pair. (algebra 1)
Answer:
(2 , 0)
I solved this using the comparison method ;)
Answer:
y=4×+6=56
56×65
45×34=
2×-4=67
which point is on the graph of f(x) = 6x?
answer: (1,6)
What is the solution to the equation 3x+1-6x=72
Answer:
hope this helps
Step-by-step explanation:
Answer:
=−71/3
Step-by-step explanation:3
+
1
−
6
=
7
2
{\color{#c92786}{3x}}+1{\color{#c92786}{-6x}}=72
3x+1−6x=72
−
3
+
1
=
7
2
{\color{#c92786}{-3x}}+1=72
−3x+1=72
2
Subtract
1
1
1
from both sides of the equation
−
3
+
1
=
7
2
-3x+1=72
−3x+1=72
−
3
+
1
−
1
=
7
2
−
1
-3x+1{\color{#c92786}{-1}}=72{\color{#c92786}{-1}}
−3x+1−1=72−1
3
Simplify
Subtract the numbers
Subtract the numbers
−
3
=
7
1
-3x=71
−3x=71
4
Divide both sides of the equation by the same term
−
3
=
7
1
-3x=71
−3x=71
−
3
−
3
=
7
1
−
3
−3−3x=−371
5
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=−71/3
x=-\frac{71}{3}
x=−371
5x - 7 + 2x = 21 solve the linear and state the property that justifies your first step
Answer:
x = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define equation
5x - 7 + 2x = 21
Step 2: Solve for x
Combine like terms: 7x - 7 = 21Add 7 on both sides: 7x = 28Divide 7 on both sides: x = 4Find the exact length of the third side.
60
48
I’m stuck in this helppp
A side of the triangle below has been extended to form an exterior angle of 156°. Find
the value of x
Answer:
x=24
Step-by-step explanation:
again 180-156=24
super easy remember exterior +interior angles add up to 180
Brainliest please
First angle = 105
Second angle = x
Third angle = 156 - 105
= 51
_________________________________________
Three angles of the triangle:
[tex]105[/tex]
[tex]x[/tex]
[tex]51[/tex]
___________________________________________
Angle sum of triangle = 180°
[tex]105 + 51 + x = 180[/tex]
[tex]156 + x = 180[/tex]
[tex]x = 180 - 156[/tex]
[tex]x = 24[/tex]
In the fraction 7/8, the numerator denominator is 7.
7/8 is the fraction
7 is the numerator
8 Is the denominator
Answer:
hhshshidhidhsd
Step-by-step explanation:
how you feel about that????
write the equation of the ellipse graphed below.
ps. this is on Khan Academy’s ‘Ellipse standard equation & graph’
Answer: I am assuming its telling me to see where it is placed at so it would be (5,7).
I not for sure but I am pretty sure!
Good Luck!
The savings account offering which of these APRs and compounding periods
offers the best APY?
A. 4.0784% compounded monthly
B. 4.0792% compounded quarterly
C. 4.0730% compounded daily
D. 4.0798% compounded semiannually
Answer:
The answer is "Option C"
Step-by-step explanation:
The using formula[tex]= (1+\frac{r}{n})^n -1[/tex]
→r = rate
→ n = compounded value
In choice a:
When compounded is monthly [tex]4.0784\%[/tex]
[tex]n = 12[/tex]
[tex]\to (1+ \frac{0.040784}{12})^{12} = 1.0403-1 = 0.0403[/tex]
In choice b:
When compounded is quarterly[tex]4.0792\%[/tex]
[tex]n = 3\\\\\to (1+ \frac{0.040792}{12} )^{3} = 1.0102-1 = .0102[/tex]
In choice c:
Whenn compounded is daily [tex]4.0730 \%[/tex]
[tex]n = 365\\\\\to (1+ \frac{0.040730}{12})^{365} = 3.328-1 = 2.328[/tex]
In choice d:
When compounded is semiannually[tex]4.0798\%[/tex]
[tex]n = 2\\\\\to (1+ \frac{0.040798}{12})^{2} = 1.0066-1 = 0.0066[/tex]