Answers
Answer: a
Step-by-step explanation: thanks for being my friend and sorry if im wrong
Related Questions
the volume of a box is 45x^3 + 198x^2 + 189x. find expressions for the possible dimensions of the prism
Answers
Answer:
length, width, and height are (b+2), (b-2), (b+3)
Step-by-step explanation:
Doing what the problem statement tells you to do, you get ...
(b^3 +3b^2) -(4b +12)
= b^2(b +3) -4(b +3) . . . factor each pair of terms
= (b^2 -4)(b +3) . . . write as a product
= (b -2)(b +2)(b +3) . . . use the factoring of the difference of squares
The three factors are (b-2) , (b+2) , and (b+3). We have no clue as to how to associate those with length, width, and height. We just know these are the dimensions of the box.
The possible dimensions of the prism are:
Length: 9x, 5x + 7, or x + 3
Width: 5x + 7, x + 3, or 9x
Height: x + 3, 9x, or 5x + 7
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
To find the possible dimensions of the prism, we need to factor the given volume expression into three factors, each representing the length, width, and height of the box.
We start by looking for common factors among the coefficients of the three terms:
45x³ + 198x² + 189x
= 9x (5x² + 22x + 21)
Now we can factor the quadratic expression inside the parentheses:
5x² + 22x + 21
= 5x² + 15x + 7x + 21
= 5x(x + 3) + 7(x + 3)
= (5x + 7) (x + 3)
The volume expression can be factored as:
45x³ + 198x² + 189x
= 9x (5x + 7) (x + 3)
Thus,
The possible dimensions of the prism are:
Length: 9x, 5x + 7, or x + 3
Width: 5x + 7, x + 3, or 9x
Height: x + 3, 9x, or 5x + 7
Learn more about prism here:
https://brainly.com/question/12649592
#SPJ2
These two triangles are similar. What is the length of side a and b? Help ASAP pleasee! Look at the screenshot Please, Thank you! :)
Answers
Answer:
do you have 12 as an answer?
Here is a list of numbers:
4.6, 3.9, 6.8, 8.6, 3.5, 0.8, 8.5, 2.8, 2.6
State the mediant
Answers
Answer:
median is 3.9
Step-by-step explanation:
You arrange them all from the smallest to the biggest, then cross out pairs from each side till you get the one in the middle
0.8, 2.6, 2.8, 3.5, 3.9, 4.6, 6.8, 8.5, 8.6
Which function has a range of y20?
ty
Time
(hours)
1
Temp.
(°F)
-8
2
{(5,0).
(-3,4).
(0,7).
(11,-6)
2
3
-2
O
-4-2
2
-2
2
5
5
No
-2
7
10
Answers
Answer:
t218
Step-by-step explanation:
PLEASE HELP DUE IN 30 MINS!!!
Answers
Answer:
There ya go
Step-by-step explanation:
Answer:
15/2
Step-by-step explanation:
goodluck on the rest! (:
Lance has 12 boxes of comic books. Each box has 40 comic books in it.
How many comic books does Lance have?
Answers
Answer:
480
Step-by-step explanation:
12*4=48 then add a zero to the end of it
hope that helps!
happy new year!
Answer:
Lance has 480 comic books.
Step-by-step explanation:
Multiply 12 by 40:)
Need help on this? Please help
Answers
parallel: g(x) = -5/3x + 1
perpendicular: h(x) = 3/5x - 5
neither: j(x) = 2x + 3
(2k^3 - 7k^2 + 3k) - (-4k^2 + 5k) in polynomial standard form PLEASE HELP
Answers
Answer:
2 k 3 − 3 k 2 − 2 k
Step-by-step explanation:
Answer: ...
2k^3−3k^2−2k
make
x
the subject of the formula
p
+
x
=
t
Answers
Answer:
x = t - p
Step-by-step explanation:
p + x = t
subtract p from both sides.
x = t - p
What is the slope of the line
Answers
Answer:
Positive, Upward Slope.
Step-by-step explanation:
Answer:
the slope of a line shows how steep a straight line is, or the direction of a straight line
what is the square root of 31
Answers
Answer:
5.567764363 or rounded off to two decimal places 5.57
Step-by-step explanation:
Calculator
I NEED HELP PLEASE !!!!
Answers
Answer: de
Step-by-step explanation:
What value represents the horizontal translation from the graph of the parent function f(x) = x2 to the graph of the
function g(x)=(x-4)2+2?
O-4
O-2
O2
O4
Answers
Answer:
-4
Step-by-step explanation:
When we talk of the horizontal translation, we are dealing with a change in the x value
Initially we had x alone while we had x-4 in the second
What this mean is that there is a change of -4
Answer:
Step-by-step explanation:
i put -4 and wrong, pretty sure its 4
Find the value of x in the triangle.
67 113
293
7
Answers
Answer:
x = 67°Step-by-step explanation:
The sum of measures of angles in triangle is allways 180°
So:
x + 53° + 60° = 180° {subtract 113° from both sides}
x = 67°
Find the sales tax. Then find the total cost of the item.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$40.00
4%
?
The sales tax is $
The total cost is $
Answers
Answer:
100 + 4 = 104%
40/100 X 104 = 41.6
total cost: $41.60
sales tax: $1.60
Answer:
Tax: $1.6
Total cost: $41.6
Step-by-step explanation:
40*0.04 = 1.6, 40 + 1.6 = 41.6
Algebra 2
Factoring Polynomials
Factor the polynomial completely.
1. x3 - 2x2 – 24x
Answers
i don’t know how to do this and it’s due in an hour someone help please
Answers
Answer:
912 divided byt he square root of AB to 5^2
Step-by-step explanation:
Answer:
AB to 5^2
Step-by-step explanation:
Flattykawa -_-
convert 17 kilometers to the nearest whole mile
Answers
Answer:
11miles
Step-by-step explanation:
1mile≈1,61km
so 17/1,61=10,56≈11miles
Answer:
10.56 (rounded)
(whole number is 10.5633)
Step-by-step explanation:
1 kilometer = 0.62 miles (rounded)
Multiply it by 17
=10.56 (rounded)
(whole number is 10.5633)
-324/18
Plz show all the steps of how you got the answer.
Answers
Answer:
-18
Step-by-step explanation:
Step 1 - divide the numerator and denominator by 18
-324÷18 / 18÷18
Step 2 - divide the numbers
-18 / 18÷18
-18/1
any expression divided by 1 remains the same
-18
Consider this quadratic equation:
2x2+12=0
Comparing it to the standard form, name a, b, and c
a=
b=
c=
Answers
Answer:
a=2
b=0
c=12
Step-by-step explanation:
The standard form of a quadratic equation is ax²+bx+c=0
Here's the given equation:
2x²+12=0
You might notice that the term bx is not there (there is just ax² and c). That means that b is 0.
The term 2x² is the term ax² in this equation. The coefficient in the term is 2, so that means that a is 2
12 has no variable, so that means it'll be c in the equation.
Hope this helps!
Given that x is a nonnegative number, a student conjectured that x+3
Which value of x is a counterexample to the student's conjecture?
X= -1/3
X= -3
X= 2
X= 3
Answers
Answer:
[tex]x = 2[/tex]
Step-by-step explanation:
Given
Conjecture: [tex]x + 3 < x^2[/tex] --- (Missing)
Required
Which value of x prove the conjecture otherwise
To do this , we simply substitute the values of x in the options
[tex]1.\ x = -\frac{1}{3}[/tex]
This is negative;
So, there is no need to check
[tex]2.\ x = -3[/tex]
This is also negative;
So, there is no need to check
[tex]3.\ x = 2[/tex]
[tex]x + 3 < x^2[/tex]
[tex]2 + 3 < 2^2[/tex]
[tex]5 < 4[/tex]
This value of x is false because 5 is not less than 4
[tex]4.\ x = 3[/tex]
[tex]x + 3 < x^2[/tex]
[tex]3 + 3 < 3^2[/tex]
[tex]6 < 9[/tex]
due in a few hours, i'll give brainliest to the correct answer!!!
Answers
Answer:
Angle a=45, Angle b=45
Step-by-step explanation:
The angles are complementary angles which means they both add up to 90 degrees. And if angles a and b are equal then its 90/2 which is 45.
−8 (1 + x) + 7x PLEASE HELP
Answers
Answer:
-8-x or -x-8 or x=-8
Step-by-step explanation:
Distribute the -8 to the (1+x)
-8-8x+7x
then add the -8x+7x
-8-x or -x-8
and if you want to solve for x
x=-8
You might need:
Find the zeros of the function. Enter the solutions from least to greatest.
f(x) = (x + 2)2 – 16
lesser r =
greater x =
Answers
Answer:
lesser x: - 6
greater x: 2
Step-by-step explanation:
f(x) = (x + 2)² – 16
(x + 2)² – 16 = 0
(x + 2 + 4) (x + 2 - 4) = 0
(x + 6)(x - 2) = 0
roots (zero): x = -6 or x = 2
PLEASE HELP ME WITH THIS I WILL GIVE BRAINLIEST
Answers
Answer:
The area of the large rectangle can be represented in two ways. Either the sum of each of the areas of the individual smaller rectangles, which is what the first equation represents, as its the base multiplied by the height (a) of each rectangle.
The second equation is a simplified version of the first one, and can be explained in three ways:
Each of the terms in the earlier equation had a common factor of a, which could be taken outside the parentheses.
or
Since the height is the same for each of the smaller rectangles, you can just multiply the height times the sum of the three smaller rectangle's widths
or
The width of the large rectangle is just the sum of each of the smaller widths, so the sum of those multiplied by a will give the area of the large rectangle.
Hope this helps!
write the equivalent fraction by division 30 by 42
Answers
Answer:
5/7
Step-by-step explanation:
5/7 is the simplified fraction for 30/42 by using the GCD or HCF method
what is the value of (f – 9)(144)?
Answers
144(f-9)
144f- (144•9)
144f-1296
The Benton family uses up a 1/2 gallon jug of milk every 3 days. At what rate do they drink milk?
Answers
Answer:
1/6
Step-by-step explanation: in a rate you need to make it a one so you double the 1/2 gallon to make it one gallon then since you doubled that you have to double the days to 6. So they drink 1 gallon per 6 days.
which expression has a value of 50
Answers
Answer:
b
Step-by-step explanation:
(50 +10) / ( 5+5)
15 POINTS! Please solve: 3 - 2x = 13 + 3x
Answers
Answer:
x= -2
Step-by-step explanation:
hope this helped <3
-5x = 10 divide by -5
x= -2