Answer:
0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightDistributive Property
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
(-5x + 6x²) - (6x² - 5x)
Step 2: Simplify
[Distributive Property] Distribute negative: -5x + 6x² - 6x² + 5x[Subtraction] Combine like terms (x²): -5x + 5x[Addition] Combine like terms (x): 0Answer:
❊ [tex] \large{ \tt{STEP - BY - STEP \: EXPLANATION}} : [/tex]
♡ Firstly , Here are some of the questions & their answers which should be known before simplifying the given expression :
Q. Do I have to change the sign of each term of second expression while subtracting ?
Ans : Yep! While subtracting , sign of each term of the second expression changes whereas In addition , sign of each term in the expressions remains unchanged.
Q. What do you mean by Like terms & Unlike terms ?
Ans : Well , Like terms are those which have the same base whereas Unlike terms are those which have the different base [ For eg : In 4x , 2y , 3x & 4y , 4x & 3x are like terms and 2y and 4y are like terms ]. Also Remember : Only coefficients of like terms can be added or subtracted.
The Question / Answer part ends up here. Now , Let's get started for simplifying the given expression :
[tex] \large{ \bf{❊ \: ( - 5 {x}^{} + 6 {x}^{2} ) - (6 {x }^{2} - 5x)}}[/tex]
[tex] \large{ \bf{ ↬ \: - 5x + 6 {x}^{2} - 6 {x}^{2} + 5x}}[/tex]
[tex] \large{ \bf{↬ - 5x + 5x + 6 {x}^{2} - 6 {x}^{2} }}[/tex]
-Here , We can see the like terms with different signs. So, they cancel out each other.
[tex] \large{ \bf{↬ \: \cancel{5x} + \cancel{5x}} + \cancel{6 {x}^{2}} - \cancel{6 {x}}^{2} }[/tex]
-We're left with nothing , So the answer would be ' 0 ' .
[tex] \boxed{ \large{ \bf{↬0}}}[/tex]
[tex] \boxed{ \boxed {\large{ \tt{⟿ \: OUR\: FINAL \: ANSWER : \boxed{ \underline{ \bf{0}}}}}}}[/tex]
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prove that P(A∩B)=P(A)∩P(B) for all sets A,B.
Step-by-step explanation:
let,
p(A)={1,2,3,4}
p(B)={3,4,5,6}
p(AnB)={3,4}
now,
p{AnB)=P(A)nP(B){3,4}={1,2,3,4}n{3,4,5,6}{3,4}={3,4}LHS=RHS. proved.
hope it helps.
stay safe healthy and happy.A telephone pole casts a shadow that is 12 feet long. At the same time, a man standing nearby who is 6 feet tall casts a shadow that is 2 feet 4 inches long. How tall is the
telephone pole to the nearest foot?
The telephone pole is feet tall
Answer:
31 feets
Step-by-step explanation:
Given that :
Telephone shadow Ts = 12 feets
Man's height, Mh= 6 feets
Man's shadow, Ms = 2 feets 4 inches
Height of telephone, Th =?
Recall :
1 foot = 12 inches
x foot = 4 inches
12x = 4
x = 4/12 = 1/3 inches
Hence, man's shadow = 2 1/3 feets =
Using cross multiplication :
Mh / Ms = Th / Ts
6 / 7/3 = Th / 12
6 / 2.33333 = Th / 12
12 * 6 = 2.33333 * Th
72 = 2.33333 Th
Th = 72 / 2.333333
Th = 30.85
Height of telephone pole = 31 feets
Please help!!!!! Will give brainleist
Answer:
Increasing: [tex](\infty, 0)\cup (1,\infty)[/tex]
Decreasing: [tex](0, 1)[/tex]
Concave Up: [tex](0, \infty)[/tex]
Concave Down: [tex](-\infty, 1)[/tex]
Step-by-step explanation:
Increasing intervals are intervals where the function is approaching positive infinity (upwards). Decreasing intervals are intervals where the function is approaching negative infinity (downwards). Concavity refers to intervals that resemble a parabola either opening upwards (Concave Up) or opening downwards (Concave Down).
What is the solution to the equation below? Х = 4 -3
Answer:
If there's no other variables involved.
x=1
Answer:
x = 1
Step-by-step explanation:
x = 4 - 3
4 - 3 = 1
Hence, x = 1
What kind of angle is this?
>) obtuse angle
acute angle
straight angle
right angle
Answer:
acute?
Step-by-step explanation: wheres the shape??
Answer: no picture?
Step-by-step explanation:
if jason had2/7 cakes and 5/9 how much wood that be
What is A line that a graph approaches as x or y increases, but never crosses?
Answer:
Asymptotes. The y -axis is a vertical asymptote of the graph. This means that the curve gets closer and closer to the y -axis but does not cross it. Let us consider what happens as the value of x approaches zero from the right for the equation whose graph appears above.
Step-by-step explanation:
Erin has two cats. The larger cat weighs 2.6 pounds more than the smaller cat. The combined weight of the two cats is 19.6 pounds. What is the weight, in pounds of the smaller cat?
Answer:
7.2
Step-by-step explanation:
just divide the total weight by 2 and add 2.6. after adding 2.6 you subtract that weight from the total.
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what is the constant rate change shown in the graph below?
Answer:
the two points be
(0,0) and (1,-3)
slope [m]=[-3-0]/[1-0]=-3
constant rate is-3.
What is the value of ? x/10 = 2 O A. 5 O B. 8 O C. 12 OD. 20
Answer:
x = 20
Step-by-step explanation:
x/10 = 2
Multiply each side by 10
x/10 * 10 = 2*10
x = 20
please help me solve this
Answer:
20.5
Step-by-step explanation:
By the Triangle Midsegment Theorem, the midsegment connecting the midpoints of two sides of a triangle is parallel to the third side of the triangle, and the length of this midsegment is half the length of the third side. Therefore, (1/2)FH ≡ IH, (1/2)HG ≡ HJ. Knowing that IJ = 8 gives you the presidence to solve for the perimeter.
2 x – 5y = –47
6 x – 5y = –71
Answer: x = - 6
y = 7
Step-by-step explanation:
Let 2x -5y = -47 be eq. 1
And 6x -5y = -71 be eq. 2
By substrate of 1 - 2:
2x-5y-6x+5y = -47+71
so -4x=24 and x= -6
Substitute x in any eq.
2(-6) - 5y = -47
-5y = -47 +12
-5y = -35 so y= 7
Hello i need some help
Garnet has a container with 15 1/2 cups of flour in it. She can make one dozen muffins with 2 1/2 cups of flour. How many dozens
of muffins can Garnet make with the flour she had?
Answer:6 1/5
Step-by-step explanation:
Lets start by saying that one dozen is 12 and not a bakers dozen (13)
We will first see how many times 2 1/2 can go into 15 1/2 by dividing the two
[tex]15\frac{1}{2} /2\frac{1}{2}=6\frac{1}{5}[/tex]
then we can verify by multiplying 2 1/2 and 6 1/5
[tex]2\frac{1}{2} *6\frac{1}{5} =15\frac{1}{2}[/tex]
which model shows all of these numbers correctly placed one the number line
Answer:
2nd
Step-by-step explanation:
bec 1\8 = 0.125 so it must be close more to 0
and the 1.33 is bigger than 1.25
PLEASE HELP 7TH GRADE MATH
BRAINLIEST-SHOWS WORK
PLEASE HELP
ANSWE 1 OR MORE AN WILL MARK BRAINLIEST 1 OR MORE
Answer:
[tex]2\pi \times r[/tex]
1. 2×3.14×80
=502.4 m
4. 90 pound on Earth weighs 34 pounds on Mars.
If it weighs 135 pounds on earth, it will weigh x pounds on Mars
=90×=135×34
=90x=4590
=x=4590÷90
x=51 pounds
So therefore it weighs 51 pounds on Mars.
Step-by-step explanation:
in question 4 you have to cross multiply
I need some help!! I will try to give brainliest!!!
PLEASEEE HELP ME FIND THE SURFACE AREA
Will mark brainliest!!
Answer:
100.48
Step-by-step explanation:
Surface area of a cylinder = [tex]2\pi r^2+2\pi rh[/tex]
Where r = radius and h = height
We are given the diameter ( 4 cm ) and the height ( 6cm )
To convert diameter to radius we simply divide by 2 ( because radius = half the length of the diameter )
4 / 2 = 2 Thus, r = 2
Now we plug in the values of the radius and height into the surface area of a cylinder formula ( note we must use 3.14 for π as the question says to. not doing so can result in a wrong answer )
[tex]SA=2(3.14)(2^2)+2(3.14)(2)(6)\\2^2=4\\4*3.14=12.56\\12.56*2=25.12\\\\2*3.14=6.28\\6.28*2=12.56\\12.56*6=75.36\\\\75.36+25.12=100.48\\SA=100.48cm^2[/tex]
Find the surface area of the composite solid.
Answer:
343.6 meters cubed
Step-by-step explanation:
28+96+96+96+27.6=343.6
A ball moves in a straight line has an acceleration of a(t) = 2t + 5. Find the position function of the ball if its initial velocity is -3 cm per second and it’s initial position is 12 cm.
Answer:
[tex]s(t) = frac{t^3}{3} + \frac{5t^2}{2} - 3t + 12[/tex]
Step-by-step explanation:
Relation between acceleration, velocity and position:
The velocity function is the integral of the acceleration function.
The position function is the integral of the velocity function.
Acceleration:
As given by the problem, the acceleration function is [tex]a(t) = 2t + 5[/tex]
Velocity:
[tex]v(t) = \int a(t) dt = \int (2t+5) dt = \frac{2t^2}{2} + 5t + K = t^2 + 5t + K[/tex]
In which K is the constant of integration, which is the initial velocity. So K = -3 and:
[tex]v(t) = t^2 + 5t - 3[/tex]
Position:
[tex]s(t) = \int v(t) dt = \int (t^2 + 5t - 3) = \frac{t^3}{3} + \frac{5t^2}{2} - 3t + K[/tex]
In which K, the constant of integration, is the initial position. Since it is 12:
[tex]s(t) = frac{t^3}{3} + \frac{5t^2}{2} - 3t + 12[/tex]
True or false? The ½ in the function g(x)=½ sqrt x-1 is x>-1
Answer:
true
Step-by-step explanation:
Let u = x ^ 2 + 3 . Which equation is equivalent to (x ^ 2 + 3) ^ 2 + 21 = 10x ^ 2 + 30 in terms of u?
Answer:i think that it is B
u^2 - 10u + 51=0
Step-by-step explanation:
What is the tenth term of the sequence described by the rule?
A(n)=−9+5(n−1)
Answer:
46
Step-by-step explanation:
Replace n by 10 in the rule a(n) = -9 + 5(n - 1):
a(10) = -9 + 5(9) = 45 - 9 = 46
Which terms are like terms?
4c, 2, 6f, -5, and 7c
Answer:
2 and -5
4c and 7c
Step-by-step explanation:
2 and -5 have no coefficient
4 and 7 have the same coefficient which in this case is c.
therefore the two pairs are like terms.
Find two consecutive odd images interfere whose sum is 36
Which of the following equation could be used to solve the problem
Answer:
Step-by-step explanation:
The integers are: x, x+2
Them, x + x+ 2 = 36
2x +2 = 36
5. A simple random sample is defined by
(A) the method of selection
(B) how representative the sample is of the population
(C) whether or not a random number generator is used
(D) the assignment of different numbers associated with the outcomes of some
chance situation
(E) examination of the outcome
Answer:
b. because if there is a bigger population the sample will be more random
GIVING BRAINLY FOR WHOEVER ANSWERS THIS
Answer:
20%
Step-by-step explanation:
Probability is always expressed as a part of a whole, thereby in fractions or percentages. From the statistics gathered, it said that 80% of the time, the plane arrives right on schedule in El Centro. That means that the probability of NOT arriving on time is the other portion, which is 20%. The answer is 20%.
Write the equation of the line perpendicular to x= -3 through the point (-5,-4)
Answer:
y= - 4
Step-by-step explanation:
Distribute this expression: ab(5c+9)
Answer:
9b+5cb
Step-by-step explanation: