The simplified polynomial by writing each of its term in standard form is:
[tex]-20m^{3}[/tex] [tex]n^{4}[/tex][tex]k^{2}[/tex] - [tex]6xy^{3z}[/tex]
What is polynomial?
A polynomial is a mathematical expression that consists of variables and coefficients, which are combined using arithmetic operations such as addition, subtraction, multiplication, and non-negative integer exponents.
To simplify the given polynomial by writing each of its term in standard form, we need to expand the products and arrange the terms in decreasing order of their degree.
First, let's expand the product [tex]1.5xy^{2}[/tex] *(-4)xyz:
[tex]1.5xy^{2}[/tex] *(-4)xyz = ([tex]-6xy^{3z}[/tex])
Next, let's expand the product -4mnk*[tex]5m^{2}[/tex] [tex]n^{3}[/tex] k:
-4mnk*[tex]5m^{2}[/tex] [tex]n^{3}[/tex]k = ([tex]-20m^{3}[/tex] [tex]n^{4}[/tex] [tex]k^{2}[/tex])
Now, we can write the simplified polynomial by adding the two terms we obtained and arranging them in decreasing order of their degree:
[tex]-20m^{3}[/tex] [tex]n^{4}[/tex] [tex]k^{2}[/tex] - 6xy^3z[tex]6xy^{3z}[/tex]
Therefore, the simplified polynomial by writing each of its term in standard form is:
[tex]-20m^{3}[/tex][tex]n^{4}[/tex] [tex]k^{2}[/tex] - [tex]6xy^{3z}[/tex]
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can you help me please?
Answer:
A is the answer
Step-by-step explanation:
Hope it helps
Type in the answer like when you click and drag the answer in the empty boxes where the answers go
3/4 x 1/6
I don’t get it??
Answer:
[tex]\frac{3*1}{4*6} = \frac{3}{24} = \frac{1}{8}[/tex]
Step-by-step explanation:
A dress usually sells for $64.00. If the dress is 30% off, what is the total price of the dress (excluding tax)?
Answer:
$44.8
Step-by-step explanation:
Select the correct answer from each drop-down menu. what is the equation of the quadratic function represented by this table? x y -3 3.75 -2 4 -1 3.75 0 3 1 1.75 y = (x − )2
The equation of the quadratic function represented by given table is f(x) = -0.25x² -x + 3.
Given table is:
x y
-3 3.75
-2 4
-1 3.75
0 3
1 1.75
Let us say the quadratic function is:
f(x) = ax² +bx + c
What is a quadratic function?
A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are non-zero.
When, x=0, f(x) =3
So, 3 = c
So, f(x) = ax² +bx +3
When, x=1, f(x) =1.75
1.75 = a+b+3
a+b = -1.25........(1)
When, x=-1, f(x) =3.75
3.75 = a-b+3
a-b = 0.75........(2)
Solving equations (1) and (2)
a = -0.25
b = -1
So quadratic function will be:
f(x) = -0.25x² -x + 3
Therefore, the equation of the quadratic function represented by given table is f(x) = -0.25x² -x + 3.
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Graph this function,
f (x) = 2x-4
Please help me ASAP
Answer:
slope= 2 I case you need that :)
Answer:
Below.
Step-by-step explanation:
One way is to plot some points:
When x = 0, y = 2(0) - 4 = 4 So plot (0,-4).
In a similar way you can plot when x = 1, y = 2(1) - 4 = -2 that is (1, -2).
Also 2(3) - 4 giving the point (3, 2).
Now draw a line passing through these 3 points.
If you cant draw a line through these points then Ive made a mistake in the calculations
Flat prats of solid figure
Answer:
it's known as a face
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Please help me find the y-intercept, slope, and how I should write out the equation in y=mx+b form.
Answer:
m = -1/2 b = 4, equation = y = -1/2x + 4, Proportional, Negative slope
Step-by-step explanation:
To find m, see what slope is:
Is negative
for every one to right, goes down 1/2
so -1/2
Intercepts at 4, so b = 4
A. Perimeter
B. Scale
C. Dimensions
1. The length and width of an object are _______.
2. The distance around a figure is called the _________.
3. 1 square to 25 cm is an example of a _______.
number one is c two is a 3 is b
Find (a) PQ to the nearest tenth and (b) the coordinates of the midpoint of PQ.
P(5,-4), Q(6,-5)
(a) PQ=(Round to the nearest tenth as needed.)
Ueueueueujehdjdjdjdjdjjfjfjfjrjrjrtep-by-step explanation:j
solve the quadratic equation using appropriate method. 2x² - 4x + 3 = 0
Answer:
Step-by-step explanation:
(-b±√b²-4ac)/2a
(4±√-4²-4(2)(3))/2(2)
(4±√16-24)/4
(4±√8)/4
=4+√8 ║4-√8
-------- --------
4 4
idont know kung tama ba ito
or
(2x-3) (x-1)=0
2x-3=0 x-1=0
2x=3 x=1
x=3/2 x=1
We have that Solution to the quadratic equation 2x² - 4x + 3 = 0 is
Root [tex]x= 1 + 0.707i[/tex]
Root [tex]y= 1 - 0.707i[/tex]
From the question we are told that
2x² - 4x + 3 = 0
Generally the equation for solving Quadratic equation is is mathematically given as
([tex](x,y)=\pm b\frac{\sqrt{}b^2-4ac}{2a}\\\\(x,y)=\pm b\frac{\sqrt{(-4)^2-4*2*3}}{2*2}[/tex]
From the Deductions
Root x= 1 + 0.707i
Root y= 1 - 0.707i
Therefore
Solution to the quadratic equation 2x² - 4x + 3 = 0 is
Root [tex]x= 1 + 0.707i[/tex]
Root [tex]y= 1 - 0.707i[/tex]
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Jill wants to write an equation to determine after how many washes (x) it will take for her laundry soap to be empty . Each wash use 3/4 Oz of soap and the container starts with 60 oz .
Answer:
Step-by-step explanation:
Need help too
187 minutes and is broken into two parts. The second part of the movie is 11 minutes langer than the first part. How many minutes is Part 2?
Answer:
99 minutes
Step-by-step explanation:
Let the variable x represent the longer part of the movie. Then the shorter part is (x-11) and the total length is the sum of the parts:
187 = x +(x -11)
198 = 2x
x = 99
The length of Part 2 is 99 minutes.
For all real numbers, x^2 ≥x.
Which number is a counterexample to the statement?
A) 1
B) 2
C) 3
D) 1/2
E) 4
Answer:
1/2
Step-by-step explanation:
took the test
How should I get rid of the 5
A divide by 5
B multiply by 5
Divide by 5, if question is a multiplication
But, multiply by 5 if question is based on division.
So, you're basically doing the inverse, of the operations you've been given.
For example:
x/5 = 2
x5 ( Multiply by 5)
x = 10
3 x y = 12
÷3
y = 4
Hope this helps!
A mountain climber started at 150 feet below sea level. What would he
need to climb to so that his starting spot and his ending spot were
opposites?
Answer:
3150 feet for both
Step-by-step explanation:
correct?
two equal sides of triangle are 3cm more than three times the third side find the sides of the triangle if its perimeter is 21 CM
Answer:
Step-by-step explanation:
Steven and Bob both have a Pokemon card collection. The number of Pokemon cards in Steven's collection can be represented by x. The number of cards in Bob's collection is 4 times the amount in Steven's collection. The total number of Pokemon cards in both collections is 240. What is the number of cards in Steven's collection?
Answer: 48
Step-by-step explanation:
The number of Pokemon cards in Steven's collection = x
The number of cards in Bob's collection is 4 times the amount in Steven's collection= 4x
The total number of Pokemon cards in both collections = 240
x + 4x = 240
5x = 240
x = 240/5
x = 48
The number of cards in Steven's collection is 48
consider the following two linear equations 3x+3y=-3 "-3+2y=8"
Answer:
Step-by-step explanation:
3x + 3y = -3 ------------(I)
-3x + 2y = 8 -----------(II)
Add both the equations and x will be cancelled and we can find the value of y
(I) 3x + 3y = -3
(II) -3x + 2y = 8 {Now add}
5y = 5
y = 5/5
y = 1
Now, substitute y = 1 in any of the equations. We are going to substitute in equation (I)
3x + 3*1 = -3
3x + 3 = -3
3x = -3 - 3
3x = -6
x = -6/3
x = -2
The solution of the equation is the point of intersection.
Point of intersection = ( -2, 1)
[tex] - 3 + 2y = 8[/tex]
[tex]2y = 8 + 3[/tex]
[tex]2y = 11[/tex]
[tex]y = \frac{11}{2} [/tex]
Substitute y=11/2 in the first eq:[tex]3x + 3( \frac{11}{2} ) = - 3[/tex]
[tex]3x = 3 - \frac{33}{2} [/tex]
[tex]3x = \frac{6 - 33}{2} [/tex]
[tex]3x = \frac{ - 27}{2} [/tex]
[tex]x = \frac{ - 27}{6} [/tex]
Use the given property to complete the statement. Division Property of EqualityIf 2(AX) = 4(BY), then AX
Answer:BY is the answer
What is the 9x6x64= I need help
Answer:
the answer is 3,456 I hope it helps
Which is the domain of the function f(x) = -5/6(3/5)^x?
Answer:
All real numbers.
Factors:
Domain is the values that x will takeHere, x can take all the values, negative,positive,fractional any valueHence, domain of the function is all real numbers.Line goes through (8,-1) and has a slope of -3/4.
Answer:
y= -3/4 x+5
Step-by-step explanation:
Set up y= -3/4 x+b. Plug in the coordinate and you get b=5. So, you get your answer. Hope it helps :)
A bag of flour has a mass of 2.26 kg. In grams, its mass is 2,260 g.
A. True
B. False
C. None of the above
Answer:
A. True
Step-by-step explanation:
This statement is true because 1.0 kg. is equal to 1,000 grams. If we multiply 2.26x1,000, you get 2,260g.
which 3d object does the net at the right form?
a. cube
b. rectangular prism
c. triangular prism
d. none of the above
Answer:
A. Cube
Step-by-step explanation:
All sides seem to be perfect squares, making this a cube
please help this is important for me.
=================================================
Explanation:
Check out the diagram below.
Plot R(-3,7) and T(3,-11) on the same xy grid.
Draw a vertical line through R and a horizontal line through T. A right triangle forms. At the intersection point is point S(-3,-11)
----------------------
Now measure the distance from point S to point T. You can count out the spaces or subtract the x coordinates and use absolute value.
|x1-x2| = |-3-3| = |-6| = 6
From point S to point T is 6 units.
We want to subdivide this horizontal length in the ratio 1:2
What this means is that we want to plot a point U somewhere such that SU:UT = 1:2
In other words,
SU = x
UT = 2x
SU+UT = ST
x+2x = 6
3x = 6
x = 6/3
x = 2
So we must move 2 spaces to the right from point S to get to U(-1,-11)
Going from point U(-1,-11) to T(3,-11) is 4 spaces
We have SU:UT = 2:4 = 1:2 to help confirm we have the correct location for point U
From point U, we then move straight up to the line segment RT
We'll land on Q(-1,1)
----------------------
Another way to find the y coordinate of point Q is to subdivide the segment RS into the ratio 1:2 similar to how we divided ST up
Segment RS is 18 units long since we go from y = 7 to y = -11 when going from R to S.
If V was on segment RS such that
RV:VS = 1:2
and RV = y
then
RV+VS = RS
y+2y = 18
3y = 18
y = 6
RV = y = 6
VS = 2y = 2*6 = 12
So you'll move 6 units down from y = 7 to land on y = 1 (when going from the y coordinate of R to the y coordinate of Q)
Anna is following this recipe to make biscuits.
Anna uses 480 g of margarine.
How many grams of chocolate will she need?
Recipe: Makes 24 biscuits
80 g sugar
100 ml syrup
200 g oats
120 g margarine
40 g chocolate
Answer:
160 g of chocolate
Step-by-step explanation:
She is doing 4 times the recipe for 24 biscuits so you need to multiply by 4.
PLEASE ANSWER THIS ASAP !!!!!
Answer:
-22
Step-by-step explanation:
First, you must find the values for f(-8) and g(2). f(x) is the blue line so f(-8)=-2 because that is the value of y where x=-8. g(x) is the pink dotted line so g(2)=-4 because that is the value of y where x=2. Then, plug in and solve:
-3(-2)+7(-4)
6+-28
6-28
-22
Hope this helps!!
Garrett had 72 MegaChoc Bars and 64 Caramel Melties. He wanted to put the most candy bars possible into bags without mixing the two types. Each bag needed an equal amount of candy. How many candy bars did he put in each bag? A. 6 candy bars B. 7 candy bars C. 8 candy bars D. 9 candy bars
Answer: Garrett tenía 72 barras MegaChoc y 64 Caramel Melties. Quería poner la mayor cantidad posible de barras de caramelo en bolsas sin mezclar los dos tipos. Cada bolsa necesitaba la misma cantidad de dulces. ¿Cuántas barras de chocolate puso en cada bolsa? A. 6 barras de dulce B. 7 barras de dulce C. 8 barras de dulce D. 9 barras de dulce
Step-by-step explanation: A
find the value of x, y, z in the rhombus below
Answers:
x = -28y = -12z = -11===========================================================
Explanation:
Any rhombus is a parallelogram, but not the other way around.
For any parallelogram, the opposite angles are congruent.
-8y-8 = 88
-8y = 88+8
-8y = 96
y = 96/(-8)
y = -12
Also, for any parallelogram, the adjacent angles are supplementary (meaning they add to 180).
(-3x+8) + (88) = 180
-3x+96 = 180
-3x = 180-96
-3x = 84
x = 84/(-3)
x = -28
And we can also say,
88 + (-9z-7) = 180
-9z+81 = 180
-9z = 180-81
-9z = 99
z = 99/(-9)
z = -11