Answers
Step-by-step explanation:
-2x² + 5x - 3 - (-7 - 9x + 5x²)
= -2x² + 5x - 3 + 7 + 9x - 5x²
= -7x² + 14x + 4.
Hence the coefficient of the x term is 14.
Related Questions
Identify the slope in the equation y=-7/3x +5 5 -5 7/3 -7/3
Answers
Answer:
-7/3
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = -7/3x + 5
Step 2: Break Function
Identify Parts
Slope m = -7/3
y-intercept b = 5
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
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
Please help me with the questions please
Answers
Answer:
50,373 feet
Step-by-step explanation:
tan 15° = 13500 / x
.268 = 13500 / x
x = 50,373
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)
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
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]
what is the value of (f – 9)(144)?
Answers
144(f-9)
144f- (144•9)
144f-1296
what is the answer to 5--4
Answers
Answer:
9
Step-by-step explanation:
if you have two negatives next to eachother, the equation now adds like 5+4. 5+4=9
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
If the markup is 30% on a cell phone that has a
selling price of $520, what is the initial cost?
Answers
Answer:
The initial cost of the cell phone was $364
Step-by-step explanation:
Since there was a 30% markup, 70% of the new cost is the initial cost. Multiply 520 by 0.7 on a calculator and you get 364
What number is missing from the table of equivalent ratios?
A. 2
B. 5
C. 7
D. 13
Answers
Answer:
Step-by-step explanation:
The answer would be 5 because 14/7=2 and 6/3=2 and 10/ 2 =5 so 5
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.
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
Solve for n: 2n < 6
Math pls answer this
Answers
Answer:
n can be a number less than 3
Step-by-step explanation:
Hope this helps!
Answer:
N<3
Step-by-step explanation:
4. Chrissy had 4 gallons of gas in her tank when she arrived at the
gas station. She pumped gas into her car at a rate of 0.3 gallon per
second. How many gallons of gas were in the tank after s seconds?
Answers
I NEED HELP PLEASE !!!!
Answers
Answer: de
Step-by-step explanation:
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 -_-
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?
(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
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:)
Algebra 2
Factoring Polynomials
Factor the polynomial completely.
1. x3 - 2x2 – 24x
Answers
Lin and Elena have discovered they have so much in common. They each have a fish tank holding 20 units of water. Whose tank holds 20 gallons, and whose holds 20 cups?
Answers
Answer: a. Lin's tank hold 20 cups and Elena's tank hold 20 gallons; I know this because gallons are greater than cups.
Step-by-step explanation:
Gallons are greater than cups so the fish tank that will hold 20 gallons would have to be the bigger one which in this case is Elena's.
With cups being lesser in quantity than gallons, the fish tank that will hold 20 cups of water will definitely have to be the smaller one which in the case is Lina's.
-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
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
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
Hi. I need help with this question (see image). Please show workings.
Answers
Answer:
[tex]\frac{dy}{dx}[/tex] = 8(2x + 3)³
Step-by-step explanation:
Differentiate using the chain rule
Given
y = f(g(x)) , then
[tex]\frac{dy}{dx}[/tex] = f'(g(x)) × g'(x)
Here
f(x) = [tex](2x+3)^{4}[/tex] ⇒ f'(x) = 4(2x + 3)³
g(x) = 2x + 3 ⇒ g'(x) = 2
Thus
[tex]\frac{dy}{dx}[/tex] = 4(2x + 3)³ × 2
= 8(2x + 3)³
An artist mixes 25 ounce of blue paint with 115 ounce of green paint. Using the same ratio, how many ounces of green paint should she mix with 3 ounces of blue paint?
Answers
Answer:
Ounces of green paint needed = 13.8
Step-by-step explanation:
Blue paint : green paint = 25 : 115
how many ounces of green paint should she mix with 3 ounces of blue paint?
Let
Ounces of green paint needed = x
Blue paint : green paint = 3 : x
Equate both ratios
25 : 115 = 3 : x
25/115 = 3/x
25 * x = 115 * 3
25x = 345
x = 345/25
x = 13.8 ounces
Ounces of green paint needed = 13.8
HELP PLEASE I WILL MARK BRAINLIEST IF RIGHT ANSWER!!
Answers
Answer:
Its XYW is half of LXYZ
Step-by-step explanation:
.
Answer:
this is the required solution
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