Answer:
14
Step-by-step explanation:
simplify x^2 + ax - 2a^2÷
3a^2 - 2ax - x^2?
Answer:
[tex] - \frac{x + 2a}{3a + x} [/tex]
Step-by-step explanation:
[tex] \frac{ {x + ax - 2 {a}}^{2} }{3a {}^{2} - 2ax - {x}^{2} } [/tex]
i) write ax as a difference
[tex] \frac{ {x}^{2} + 2ax - ax - 2 {a}^{2} }{3 {a}^{2} - 2ax - x {}^{2} } [/tex]
ii) write -2ax as a difference
[tex] \frac{ {x}^{2} + 2ax - ax - 2a {}^{2} }{3a {}^{2} + ax - 3ax - x {}^{2} } [/tex]
iii) factor out x from the expression
[tex] \frac{x(x + 2a) - ax - 2 {a}^{2} }{3 {a}^{2} + ax - 3ax - {x}^{2} } [/tex]
iv) factor out -a from the expression
[tex] \frac{x(x + 2a) - a(x + 2a)}{3 {a}^{2} + ax - 3ax - {x}^{2} } [/tex]
v) factor out a from the expression
[tex] \frac{x(x + 2a) - a(x + 2a)}{a(3a + x) - 3ax - {x}^{2} } [/tex]
vi) factor out -x from the expression
[tex] \frac{x(x + 2a) - a(x + 2a)}{a(3a + x) - x(3a + x)} [/tex]
vii) factor out x+2a from the expression
[tex] \frac{(x + 2a)(x - a)}{a(3a + x) - x(3a + x)} [/tex]
viii) factor out 3a+x from the expression
[tex] \frac{(x + 2a)(x - a)}{(3a + x)(a - x)} [/tex]
ix) factor out the negative sign from the expression and rearrange the term
[tex] \frac{(x + 2a)( - ( - a - x))}{(3a + x)(a - x)} [/tex]
x) reduce the fraction a-x
[tex] \frac{(x + 2a)( - 1)}{(3a + x)} [/tex]
[tex] - \frac{x + 2a}{3a + x} [/tex]
graph the image of triangle PQR after a reflection across the line y = 2
Answer: Refer to the diagram below
P ' is at (-7, 9)Q ' is at (1, 9)R ' is at (-6, 4)================================================
Explanation:
The diagram shows how point R moves to R'. We move up 2 units going from R(-6,0) to (-6,2). This lands us on the line of reflection. Then we move another 2 units up to land on (-6,4) which is the location of point R'.
The other points P and Q follow the same idea. Though the distances will be different from R. For P and Q, we'll move 7 units up to arrive at the line of reflection, then another 7 units to arrive at the proper locations of P' and Q', which are (-7,9) and (1,9) respectively.
Answer:
If we draw the line of y=2 and if we find the reflections we have the new points of...
R(-6,4)Q(1,9)P(-7,9)Now all we have to do it plot these points, and then we have the triangle PQR
4 movie tickets cost $48. At this rate, what is the cost of 11 movie tickets? *
Answer:
4 tickets =$48
1 ticket = $48/4
= $ 12
11 tickets =11*$12
= $132
What is the GCF of the expression -x2y22 - xy2z?
Answer:
i dont onderstand Thais
Merry Christmas please help
Answer:
A function maintains a constant slope and shows no irregularities such at x1= 10 and y2= -100 and then x2= -90 and y2= 900Hence WFind 56(−4⋅27). Write your answer in simplest form.
Answer:
[tex]-6048[/tex]
Step-by-step explanation:
[tex]---------------------------------[/tex]
[tex]56\left(-4\cdot27\right)[/tex] = [tex]-6048[/tex] [tex]because[/tex]
[tex]---------------------------------[/tex]
[tex]56\left(-4\cdot27\right)[/tex] = [tex]?[/tex]
[tex]\left(-4\cdot27\right)[/tex] = [tex]-108[/tex]
[tex]56\left(-108\right)[/tex] = [tex]?[/tex]
[tex]56\left(-108\right)[/tex] = [tex]-6048[/tex]
[tex]---------------------------------[/tex]
Hope this helps! <3
[tex]---------------------------------[/tex]
Of the factors of 12 shown, which also have a sum of 7?
A: 12,1
B: 2,6
C: 3,4
Lacey is buying a new car. She can get a station wagon, a truck, a hatchback, or a convertible. The outside paint comes in yellow or green. The seats can be covered with white leather or gray fabric. Given these choices, how many different combinations does Lacey have to choose from?
Step-by-step explanation:
4 different vehicles,
2 different paints,
2 different seats.
Total number of combinations = 4 * 2 * 2 = 16.
please help with this question (d+2)(-7)
Answer:
-7d-14
Step-by-step explanation:
First, let's distribute -7 to (d+2)
-7xd
-7x2
We will get -7d-14
6 ×3(2+9)..can you give the answer of it please
Answer:
Hope this may helps you
Step-by-step explanation:
6×3(11)
6×33
198
Answer:
198
Step-by-step explanation:
6 ×3(2+9)
= 6×3×11
= 6×33
= 198
Which of these graphs represents a function?
A)
A
B)
B
C)
С
D)
D
HELPPPPP ME PLEASEEEE
the product of 9/10 and 8/9 is...
A: between 0 and 1
B: between 1 and 2
C: between 2 and 3
D: greater than 3
Please help!!! I will make brainliest
Answer:
I believe that all should be checked except for f(x) = x^6 which u already didn't check
Step-by-step explanation:
The equation is y = ab^x and all the equations, except that one, follow this formula
The slope of a line perpendicular to y = 2x + 1 is -2.
False
True
Answer:
incorrect.
Step-by-step explanation:
the slope of the line perpendicular is the negative reciprocal, which in this case is -1/2
Answer:
False
Step-by-step explanation:
To find the slope of a perpendicular, flip the slope and change the sign.
The slope pf the given line is 2.
The slope of a line perpendicular to y = 2x + 1 is -1/2.
Answer: False
By what percent is 16 greater than 12.
Answer:
28 i assume.
Answer:
The answer is 28% :))
I need help please I am having hard time doing this
Answer:you are corect its negetive
Step-by-step explanation:
If point C lies between two points A and B such that AC=BC, then
Answer:
If point C lies between two points A and B such that AC=BC, then point C is the bisector of A and B, that means it is at right the centre.
In a class 3/4 of the boys like math, 1/2 like science, 1/4 of those who like science do not like math. How many boys like neither math nor science?
A. 1/4
B. 1/6
C. 1/2
D. 1/8
A certain radioactive isotope has a half-life of 50 years. A scientist determines that there are 200 grams of the radioactive material present today. How
Much of the isotope was present 200 years ago?
im guessing 800 50X4 = 200 and 200X4 = 800
i never learned this but i hope its correct.
Compré 18 cuadernos, 24 carpetas y 17 lapiceras. El precio de las carpetas excede al de los cuadernos en un 40%, mientras que el precio de las lapiceras es el 20% del precio de los cuadernos. Si el importe de la compra fue de $11.825, calcular el precio unitario de cada artículo
Answer:talk some English dude
Step-by-step explanation:
PLEASE HELP ITS MULTIPLE CHOICE i’ll mark brainliest too!!
Step-by-step explanation:
For the left end of the function, it moves up towards positive infinity.
For the right end of the function, it movea down towarda negative infinity.
Therefore as x approaches -infinity, y approaches +infinity and as x approaches +infinity, y approaches negative infinity. (2nd option)
Help please!!!
Triangle ABC is similar to triangle PQR, as shown below
Answer:
b:q
Step-by-step explanation:
im pretty sure its that. ive learned this before.
if you flipped them so that c and r were facing the same direction, then b and q would be too.
if [tex]\frac{r + s}{x - y} = \frac{3}{4}[/tex] then [tex]\frac{8r + 8s}{15x - 15y}[/tex] equals
Answer:
[tex]\frac{8r+8s}{15x-15y} = \frac{2}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyEquality PropertiesStep-by-step explanation:
Step 1: Define
[tex]\frac{r+s}{x-y} = \frac{3}{4}[/tex]
[tex]\frac{8r+8s}{15x-15y} = ?[/tex]
Step 2: Find Unknown
Multiply both sides by 8/15: [tex]\frac{8}{15} \cdot \frac{r+s}{x-y} = \frac{8}{15} \cdot \frac{3}{4}[/tex]Distribute/Multiply: [tex]\frac{8r+8s}{15x-15y}= \frac{24}{60}[/tex]Simplify: [tex]\frac{8r+8s}{15x-15y} = \frac{2}{5}[/tex]The y-intercept of 2x - y = 6 is -6.
O False
True
Answer:
It is true
Step-by-step explanation:
Convert to slope-intercept form:
2x-y=6
-y=6-2x
y=-6+2x
y=2x-6
Since y=mx+b is the form we want, then b=-6, making the statement true.
Answer:
true
Step-by-step explanation:
you switch the 2x to the other side to get -y = 2x + 6
then you multiply everything by -1 to get y = -2x-6
-6 is the y int
Please help me out !!!
Answer:
If the segments AU and UT are equal then AT equals 66, if the segments are not equal then AT equals 6x+24. Depends on what you are learning. Use what you need!
Step-by-step explanation:
4x+5 = 2x+19
2x=14
x=7
4(7)+5+2(7)+19 = 42+24 = 66
In 1992, Jason bought a gallon of gas for $1.15. Yesterday, he bought a gallon of gas for $2.12. What is the percentage increase of the price of a gallon of gas from 1992 to yesterday? If necessary, round to the nearest tenth of a percent.
A.
84.3%
B.
45.8%
C.
54.2%
D.
15.7%
Please Help
Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.
A(-6, 9), B(2, 1); Ratio 5 to 3
Answer:
The coordinates of the point P = (x, y) = (-1, 4)
Step-by-step explanation:
Let the coordinates of P be (x, y)
(x₁, y₁) = (-6, 9)(x₂, y₂) = (2, 1)ratio = m:n = 5:3Using the section formula
x = [(mx₂ + nx₁)] / [(m+n)]
= [5(2)+3(-6)] / [5+3]
= [10-18] / [8]
= -8/8
= -1
y = [(my₂ + ny₁)] / [(m+n)]
= [5(1)+3(9)] / [5+3]
= [5+27] / [8]
= 32/8
= 4
Therefore, the coordinates of the point P = (x, y) = (-1, 4)
Divide. Write in simplest form.
3/4 divided by 1/8
Answer:
when you divide 3/4 by 1/8 you get 6
Use the graph below to find f(-2) =
You’ve learned to identify whether a function is even or odd both graphically and algebraically. How does the notation for reflections over the x-axis and over the y-axis relate to the notation for even and odd functions? Remember that if f(-x) = f(x), a function is even, and if f(-x) = -f(x), then the function is odd.
Answer:
Because even and odd are 2 different ways to determine whether or not you get the right answer for the chosen function.
Step-by-step explanation:
Hope this helps!!!
Answer:
For even functions, we take f(-x) to be the starting function. The y-axis reflection of this function is f(-(-x)), which is equal tof(x). So the relationship f(-x) = f(x) means that the function is the same as its y-axis reflection.
For odd functions, there are two reflections that must occur. First, we start with f(-x). The y-axis reflection of this function is f(-(-x)) = f(x). When we apply an x-axis reflection to this result, we get -f(-(-x)) = -f(x). So the fact that f(-x) = -f(x) means that odd functions are the same as sequential reflections across both the x-axis and the y-axis. (The same sequence of reflections also represents a rotation 180 degrees about the origin).
Step-by-step explanation: