Answer:12 / x2−2x−8
Step-by-step explanation:
[(x^2-3x+2) / (x^2-5x+4)] - [(x^2+10x+24) / (x^2+8x+12)]
=
12x2+60x−72 / x4+3x3−24x2−28x+48
=
12(x−1)(x+6) / (x−1)(x+2)(x−4)(x+6)
=
12 / x2−2x−8
hey yall. Im havin a really bad day. can yall help me with one question. a+b/a=5/2
Answer:
+b/a=5/2
Step-by-step explanation:
I'm sry ur having a bad day! lmk if u want to talk abt it :D
in the difference in altitude between 2,993 feet on a mountain peak and −428 feet on a valley floor
what is the difference in altitude per feet
I need this fast please
Answer:
First boxes: 15,659 Second box: 22,370 Last box:38,029
Step-by-step explanation:
Find a trinomial for the area of the rectangular rug shown on the right whose sides are x+2 feet and 3x-1 feet.
The trinomial for the rectangular rug is 3x² + 5x - 2
A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.
A trinomial is a polynomial with three terms.
The area of a rectangle = length * width
Area of rectangle = (x + 2) * (3x - 1) = 3x² + 6x - x - 2
Area of rectangle = 3x² + 5x - 2
The trinomial for the rectangular rug is 3x² + 5x - 2
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The ratio of the cargo cars to passenger cars in the rail yard is 33:11. If there are 132 cargo cars,how many passenger cars are there?
Answer:
44
Step-by-step explanation:
33:11 = 132:44
What is (-i)^3
A. -i
B. i
C. -1
D.1
Answer:
i
Step-by-step explanation:
=> -i³
=> (-1 . i )³
=> -1³ . i³
=> -1 [ i² . i ]
=> -1 [ (√-1)² . i ]
=> -1 [ -1 . i ]
=> i
Answer:
B: i
Step-by-step explanation:
Algebric explanation: as long as you remember power rules you should be good:
[tex](-i)^3 = (-1)^3\times i^3 = -1 \times i^2\times i= (-1)\times(-1)\times i=1i[/tex]
Geometric explanation: In the complex plane you can think "multiplying by i" as "rotate 1/4 counterclockwise". [tex](-1)^3[/tex] is a real number, and it's simply [tex]-1[/tex]. Rotate that ccw once, you're at [tex]-i[/tex]. Again, and you're at 1. third time (is really the charm!) you end up at [tex]i[/tex].
Polar explanation Courtesy of euler's identity.
[tex](-i)^3 = (e^{-\frac{\pi}2i})^3=e^{-\frac32\pi i}= cos (-\frac32\pi)+isin(-\frac32\pi) = 0+i(1)= i[/tex]
How do you solve the equation 4a+b=12
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*a+b-(12)=0
Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 4a+b-12 = 0 and calculate its properties
Notice that when a = 0 the value of b is 12/1 so this line "cuts" the b axis at b=12.00000
b-intercept = 12/1 = 12.00000
When b = 0 the value of a is 3/1 Our line therefore "cuts" the a axis at a= 3.00000
a-intercept = 12/4 = 3
Slope is defined as the change in b divided by the change in a. We note that for a=0, the value of b is 12.000 and for a=2.000, the value of b is 4.000. So, for a change of 2.000 in a (The change in a is sometimes referred to as "RUN") we get a change of 4.000 - 12.000 = -8.000 in b. (The change in b is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -8.000/2.000 = -4.000
Geometric figure: Straight Line
Slope = -8.000/2.000 = -4.000 a-intercept = 12/4 = 3 b-intercept = 12/1 = 12.00000Answer:
Step-by-step explanation:
Without having a numerical value for a (or b), you can't "solve this equation."
You can, however, solve it for either a or b, but not both.
For a: Subtract b from both sides. This results in 4a = 12 - b. Dividing both sides by 4 isolates a:
12 - b
a = --------------
4
For b: Subtract 4a from both sides. Then: b = 12 - 4a
The cost of a pizza varies directly as the square of its radius. If a pizza with a 6 inch radius costs $8.00, how much should a pizza with an 11 inch radius cost? Round to the nearest hundredth.
Answer:
Step-by-step explanation:
14.7$
Hey, I’m unsure if these answers are correct (especially the second one). Could someone help? (I’ll mark brainliest if you are correct!)
Answer:
yes they are
Step-by-step explanation:
an independent variable is a letter by itself not representing anything
The sum of a number and negative eleven is negative sixteen. Which of the following is the number?
Answer:
n = -5
Step-by-step explanation:
Let n be the unknown number
n+ (-11) = -16
Add 11 to each side
n+-11+11 = -16+11
n = -5
Answer:
- 5
Step-by-step explanation:
let n be the number , then
n + (- 11) = - 16 , that is
n - 11 = - 16 ( add 11 to both sides )
n = - 5
Last year, the school's electric bill
was $1.740. If the bill was the same
price each month, how much did
the school spend on electricity each
month? ASAP!
Answer:
AINT NOBODY CARES ABOUT SCHOOL
but the amount they spent each month was 145$
simplify the following:
(a²-3a²b+3ab²-b²)-(7a²-3a²b+6ab²+b²)
Step-by-step explanation:
a^2 -3a^2b + 3ab^2 - b^2 - 7a^2 +3a^2b - 6ab^2 - b^2 = -6a^2 -3ab^2 - 2b^2
The sum of eleven and a number is negative nine.
Answer:
The sum is 2. ...........
Answer:
11 + x = -9
x = -20
Step-by-step explanation:
"The sum of eleven and a number" can be translated to: 11 + x, where 'x' is the unknown number.
[tex]11 + x = -9\\\rule{150}{0.5}\\11 - 11 + x = -9 - 11\\\\\boxed{x = -20}[/tex]
Hope this helps.
what is 15/4 as a whole number i've never been good at this and could us help
Answer:
3
Step-by-step explanation:
15/4=3 with a remainder of 3 . You take the 3 from your answer and it becomes the whole number.
Sean bought 1.8 pounds of gummy bears and 0.6 pounds of jelly beans and paid $10.26. He went back to the store the following week and bought 1.2 pounds of gummy bears and 1.5 pounds of jelly beans and paid $15.09. What is the price per pound of each type of candy?
Answer:
Gummy bears $3.20/lbs
Jelly beans $7.50/lbs
Step-by-step explanation:
For this we will substitute gummy bear price for "x" and jelly bean price for "y" which creates this system (also assuming there is no sales tax involved):
1.8x + 0.6y = 10.26
1.2x + 1.5y = 15.09
Then once solved, answers come out to be (x,y) = (16/5,15/2) which is (3.2,7.5)
what is 84 divided by -12
Answer:
-7
Step-by-step explanation:
Answer:
-7
Step-by-step expla
-7 times -12 is 84
What is the soultion to the following system of equations
{x+4y=-22
{3x-7y=29
Answer:
y= -1/4x - 11/2
y= 3/7x - 29/7
This graph gives the growth of a plant over time. What is the slope of the line, and what does the slope mean in this situation?
Select from the drop-down menus to correctly complete the statement.
The slope is (), which means that the plant by () every day.
[Graph showing a line, extending from zero zero to seven three point five. There are points on the line at zero zero, two one, four two, and seven three point five. The vertical axis is labeled Growth and the horizontal axis is labeled Time.]--[This is shown in the image connected to this question]
{THIS IS FOR ANYBODY WHO NEEDS HELP!! I DO KNOW THE ANSWER! I'll be putting it in the answers, too.}
Answer:
The slope of the line is 2/3. In context of plant growth, every 3 days, the plant grows 2 inches.
Step-by-step explanation:
To find slope, you count the distance between y-values and x values. You then get a fraction of y over x.
Hope this helped and have a great day,
Ginny
The slope of the graph is 1/2, which means that the plant growth 1 inches in every 2 days.
What is Equation of line?
The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The points on the graph are (2, 1) , (4, 2) and (7, 3.5).
Now,
Since, Slope of the line passing through the points (x₁ , y₁) and (x₂, y₂) is,
⇒ m = (y₂ - y₁) / (x₂ - x₁)
Thus, The Slope of the line passing through the points (2, 1) and (4, 2) is,
⇒ m = (y₂ - y₁) / (x₂ - x₁)
⇒ m = (2 - 1) / (4 - 2)
⇒ m = 1 /2
Thus, The slope of the graph is 1/2, which means that the plant growth 1 inches in every 2 days.
Learn more about the slope visit:
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Select all ratios equivalent to 3:5
Which is equivalent to 256 Superscript three-fourths?
Answer:
the answer would be 64
Step-by-step explanation: I had a quiz abt this and i got it right.
Answer:
64
Step-by-step explanation:
what is 12 divided by 175
need help asap or i'll fial
Answer:
Exact Form:
12
175
Decimal Form:
0.06857142
Step-by-step explanation:
xy - 20 OVER x + 5; if=-9 and y = 8
Answer: 23
Step-by-step explanation:
okay so if x = -9 and y = 8 you need to place it into the equation like so
-9x8-20 OVER -9+5
then it should be calculated :
-72 - 20 OVER -9 + 5
and calculate it again :
-92 OVER -4
and simplify your answer by dividing it since it’s a fraction (OVER)
-92 divided by -4 is 23.
Lots of points!! picture explains everything!
Answer:
16/100 or 8/50 or 4/25
Step-by-step explanation:
Reasoning if f(x) = x^2 -3 and f(a)= 46 what is the value of a? Explain
Answer:
7
Step-by-step explanation:
f(x)=x²-3 is the function
f(a)=46 means that when a value in applied to the function, u would get 46
so
f(a)= a²-3=46
a²=49
a=7
what is the perimeter, in grid units, of a regular octagon that has one side with endpoints (-4, -3) and (-4, 8)
Answer:
88
Step-by-step explanation:
Let's find the length of one side. The perimeter will be 8 times that since it's a regular octagon.
[tex]d= \sqrt{(-4+(-4))^2+(8-(-3))^2} = \sqrt{0^2+(11)^2}= 11[/tex]
Perimeter has to be [tex]8\times 11 = 88[/tex]
Can someone help?? Sooo hard
Answer:
Step-by-step explanation:
Easy pie bro
Name: Kakashi Sensei
loraine walked 4 miles up, riana walked 3 miles right, the distance between them wil be the hypotenusa which is probably 5, yes? It forms a right triangle:
dist² = 3² + 4²
dist² = 9 + 16
dist² = 25
dist = [tex]\sqrt{25}[/tex]
dist = 5
now draw that triangle on the grid and there you go
5% of ______ is 10
_____ % of 100 is 12
Step-by-step explanation:
let the number represent X
5/100xx=10
5x/100=10
then you cross multiply
5x=100x10
5x=1000
divide both sides by 5
X=1000/5 =200
Show all work
which of the following lines is parallel to 2y=3x-1?
a. y = 1/2x - 1
b. 2y = x - 3
c. 4y = 6x + 8
d. y = 3x + 4
e. 3y = 2x - 3
Answer:
c. 4y=6x+8
Step-by-step explanation:
For lines to be parallel, they must have the same slope. To solve this problem, we need to isolate the y on one side of the equation (putting the equation into slope intercept form).
The equation itself must be divided by 2 to do that. We end up with y=1.5x-0.5. We need to find another equation that has 1.5 as the slope.
b. y=0.5x-1.5
c. y=1.5x+2
d. y=3x+4
e. y=2/3x-1
As we can see, the only other equation with a slope of 1.5 is C. Therefore, C is our answer.
Evaluate the expressions. Show your
thinking
1 3/4 x 8
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
N
Step-by-step explanation:
Answer:
n
Step-by-step explanation:
