The two properties newton used to rewrite the expression are;
- Associative Property; Because it involves change of grouping of numbers in the expression.
- Distributive Property; Because it involves distribution of a number outside a bracket to numbers inside that same bracket.
This involves algebraic properties. There are 3 major types that work on only addition and multiplication namely;- Associative Property
- Commutative Property
- Distributive Property
Let us define each of them;
1) Associative Property; This property in algebra is one that means that no
matter how we group the numbers, we will still get the same result. e.g.
x + (y + z) = (x + y) + z.
2) Commutative Property; This property means that we can change the
order of operation and still get the same answer. For example;
p × q × r = p × r × q
3) Distributive Property; This property means that multiplying the sum of
two or more which are in a bracket by a number outside the will be equal to
the answer gotten when we multiply each number in the bracket
individually by the number outside and then adding their respective
products together. For example; p(q + r) = (p * q) + (p * r)
Newton has the expression; (4 × 23) × 25
Since it is multiplication, he can use any of the three properties above but let us use the associative and distributive properties as they are most suited to this expression.
For the associative property as shown above, he will arrive at;(4 × 23) × 25 = 4 × (23 × 25)
For the distributive property as shown above, he will arrive at;(4 × 23) × 25 = (25 × 4) + (25 × 23)
Read more at; https://brainly.com/question/20724601
what set operation combining all elements that are in two sets?
Can someone help with this question fast ? <3
Answer:
x=7
Step-by-step explanation:
x+x+3+2x-1=30
4x+2=30
4x=30-2
=28
x=28÷4
=7
The following figures are similar. Solve for x.
Answer:
i need a picture
Step-by-step explanation:
Factories 16xy*2 +10xy
Answer:
[tex]16x {y}^{2} + 10xy \\ = 2xy(8y + 5) \\ 2xy = 0 \: or \: 8y + 5 = 0 \\ y = - \frac{5}{8} [/tex]
The polynomial of degree 4, P ( x ) , has a root of multiplicity 2 at x = 1 and roots of multiplicity 1 at x = 0 and x = − 2 . It goes through the point ( 5 , 336 ) . Find a formula for P ( x ) . P ( x ) =___
Show your work
We want to find a polynomial given that we know its roots and a point on the graph.
We will find the polynomial:
p(x) = (183/280)*(x - 1)*(x - 1)*(x + 2)*x
We know that for a polynomial with roots {x₁, x₂, ..., xₙ} and a leading coefficient a, we can write the polynomial equation as:
p(x) = a*(x - x₁)*(x - x₂)...*(x - xₙ)
Here we know that the roots are:
x = 1 (two times)x = 0x = -2Then the roots are: {1, 1, 0, -2}
We can write the polynomial as:
p(x) = a*(x - 1)*(x - 1)(x - 0)*(x - (-2))
p(x) = a*(x - 1)*(x - 1)*(x + 2)*x
We also know that this polynomial goes through the point (5, 336).
This means that:
p(5) = 336
Then we can solve:
336 = a*(5 - 1)*(5 - 1)*(5 + 2)*5
336 = a*(4)*(4)*(7)*5
336 = a*560
366/560 = a = 183/280
Then the polynomial is:
p(x) = (183/280)*(x - 1)*(x - 1)*(x + 2)*x
If you want to learn more, you can read:
https://brainly.com/question/11536910
[tex]\frac{1}{\sqrt{2} } -\frac{\sqrt{2}}{3}[/tex]
hello there
I am looking for help on this thanks.
CAN SOMEONE PLEASE DO THESE 4 QUESTIONS
3.2x-1.7x+5.5=10
3/4x-1/4x+14=3
3(2x+1)+x=-39
m+4(2m-3)+-3
I WILL GIVE BRAINLIEST AND YOU ARE A LIFESAVER
ALSO PLEASE SHOW STEPS!!
THANKS!!!!!
Problem
3.2x-1.7x+5.5=10
Steps:
1.5x + 5.5 = 10
1.5x X 10 + 5.5 X 10 = 10 X 10
15x + 55 - 55 = 100 - 55
15x = 45
15x/15 = 45/15
x = 3
Therefore questions ones answer is x = 3
Problem
3/4x-1/4x+14=3
Steps:
3/4x - 1/4x + 14 = 3
3/4x - 1/4x + 14 - 14 = 3 - 14
3/4x - 1/4x = -11
3/4x X 4 - 1/4x X 4 = -11 X 4
2x = -44
2x/2 = -44/2
x = -22
Therefore question two's answer is x = -22
Problem
3(2x+1)+x=-39
Steps:
7x + 3 = -39
7x + 3 - 3 = -39 - 3
7x = -42
7x/7 = -42/7
x = -6
Therefore question three's answer is x = -6
Problem
m+4(2m-3)+-3
Steps:
= m + 4 (2m - 3) - 3
= m + 8m - 12 - 3
= 9m - 15
Therefore question four's answer is 9m - 15
Determine the difference. 3/4 – 5/16 = ?
options:
7/4
12/16
7/16
7/0
Answer:
7/16
Step-by-step explanation:
Answer:
7/16 is the correct answer.
Step-by-step explanation:
3/4-5/16
=12-5/16 (taking LCM)
=7/16
Hope this helps you. Have a nice day. Please amrk as brainliest. It helps a lot.
Five times the sum of a number and 3 is the same as 3 times the number decreased by 7
Answer:
18
Step-by-step explanation:
5(n+3) =3(2n-1)
5n+15 =6n-3
18=n
W What word problem below can be solved by 7/8 divided by 1/4.? a. Shelly has 1/4 cup of lemonade. She pours 7/8 of lemonade into each glass. how many glasses can Shelly fill? b. Shelly has 7/8 cup of lemondae. She pours 1/4 cup of lemondade into each glass. hom many glasses can Shelly fill? C. Shelly has 7/8 cup of lemondae. She drinks 1/4 cup. How much lemondae does Shelly have left? d. Shelly has 7/8 cup of sugar in her lemondae. She adds another 1/4 cup after tasting it. How much sugar does she have in her lemondae now?hat word problem below can be solved by 7/8 divided by 1/4
Answer:
b.
Step-by-step explanation:
Whats the answer to this question? ( Branliest )
Answer:
50
Step-by-step explanation:
p = 8
q = 6
p / 4
= 8 / 4
= 2
pq
= 8 x 6
= 48
p / 4 + pq
= 2 + 48
= 50
50
Hope this helped you- have a good day bro cya)
Matthew has $540 in his bank account. He subscribes to a music streaming service for $7.99 per month. If he makes no other deposits or withdrawals, what is Matthews new account balance after 5 months of his subscription?
Answer:
500.05
Step-by-step explanation:
7.99 x 5 is of course 39.95 and 39.95 - 540 is 500.05 and that's on period
Find the value of the equation.
12+−9
18
-18
3
-3
Answer:
.
Step-by-step explanation:
Find the percent decrease. Round to the nearest percent.
From 17 bagels to 0 bagels
The percent decrease is %.
Answer: 100%
Step-by-step explanation:
the normal decrease is 0-17=17, then you take the original bagel count divide by the number of bagels decreased (which is 17) x100 percent.
you shld get 100%, thanks!
Find the value of x. The diagram is not to scale.
Given: angle SRT = angle STR, M Angle SRT = 20, m angle STU = 4x
In the given diagram, the value of x is 40
From the question,
we are given that
∠ SRT = ∠STR, and m ∠SRT = 20,
Also, from the question
m ∠STU = 4x
To determine the value of x,
From the diagram,
We can observe that
∠STR + ∠STU = 180° (Sum of angles on a straight line)
Since ∠ SRT = ∠STR, and m ∠SRT = 20,
Then,
∠STR = 20
Then,
∠STR + ∠STU = 180° becomes
20 + 4x = 180
To solve this,
First, subtract 20 from both sides
20 - 20 + 4x = 180 - 20
Then,
4x = 160
∴ x = 160 ÷ 4
x = 40
Hence, the value of x is 40
Learn more here: https://brainly.com/question/20707795
Answer:
Step-by-step explanation:
The answer is 40.
x=40
Choose an equation that would be used to solve
0 = -x^2 + 10x -8
(x+25)^2 = -8
(x-5)^2 = 17
(x-10)^2 = 25
The equation that would be used to solve the function is (x+5)^2 = 17
Given the quadratic equation -x^2 + 10x -8 = 0
This can also be written as:
-x^2 + 10x -8 = 0
x^2 - 10x + 8 = 0
x^ 2- 10x = -8
The coefficient of x is -10
Half of the coefficient of -10 = -10/2 = -5
Square the result = 5^2 = 25
Add 25 to both sides of the equation
x^2 - 10x + 25 = -8 + 25
x^2 - 10x + 25 = 17
(x+5)^2 = 17
Hence the equation that would be used to solve the function is (x+5)^2 = 17
Learn more on completing the square here; https://brainly.com/question/10449635
When 8 is added to the number that is produced by doubling the number x, the result is equal to 8 times the number
that is 5 less than x. What is the value of x?
Please help I will give you brainless please
Answer:
x=7 is the answer
Step-by-step explanation:
si a+b = 10; ab= 3 calcula a2 + b2
94
During a special ops mission a helicopter traveled eastward at 75 m/s against
westward blowing wind moving at a speed of 8 m/s. What would most likely
happen if the wind speed increased to 17 m/s? *
Helicopter
75 m/s
Wind
Answer:
the helicopter would go up and backwards
What is the value of the y-intercept of the graph of f(x) = e^1-x – 1?
Answer:
(0, e-1) or (0, 1.718) to the nearest thousandth.
Step-by-step explanation:
The y-intercept occurs when x = 0 so here we have:
y = e^(1 - 0) - 1
= e - 1
So the y-intercept is the point (0, e-1)
Find the percent decrease. Round to the nearest percent.
From 138 pounds to 130 pounds
The percent decrease is %.
Answer: 6%
Step-by-step explanation:
so you find the normal decrease. which is 138-130, 8 pounds.
then you divide by the original weight, you get 5.979…% so then round it up and tada! 6%
can someone please help I am stuck and its due soon I will follow and give feed back
what property is -8(x-3)=-32
Answer:
-8(x-3)=-32
(x-3)=-32+8
(x-3)=-24
x=-24+3
x=-21
When converted to a household measurement, 9 kilograms is approximately equal to a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.
Answer:
a) 9000 gam
Step-by-step explanation:
Answer:
a) 9000 grams
Step-by-step explanation:
1 kg=1000 g
9*1000=9000
Complete the following magic square using the whole numbers 1-9. (Each row, column, and diagonal must have the same sum.)
6
1
1
8
00
Answer:
611800
Step-by-step explanation:
is the answer
i think
what percent of 235 is 148.05
Answer:
63% is the correct answer hope this helps
Hey ! Can anyone help me with this question please ? Thank you
Answer:
x=131°
Step-by-step explanation:
180°-49°=131°
<x is corressoping to the the angle next to <49°, so if you were to move it up there, it would be a linear pair or supplmentary angles, which equal 180°.
A building has 2 front doors, 2 doors on the left side, 2 back doors and 2 doors on the right side. How many different ways can you enter and leave the building if you enter through the front door and then leave through any of the other doors?
12 because you can enter through 2 front doors. Let's call them A and B. You enter through A and you have 6 doors to leave through. You enter through B you have 6 doors to leave.
Which ratio is equivalent to 3:10?
9:10
9:13
9:20
9:30
Answer:
9:30
Step-by-step explanation:
9:30 = 3:10
If we put a ratio into a fraction for better visual representation, we will see that 3:10 turns in 3/10. If we multiply both the numerator and denominator by 3, we will get 9/30. You can divide 3 from both sides of 9/30 and it will go back to 3/10.
tl:dr Multiply both sides of a ratio to get the equivalent ratio.