Answer:
4x (x - 2y)
Step-by-step explanation:
Pull out what factors they both have and put it outside the parentheses, put the rest inside after dividing.
The factoring of the algebraic form 4x² - 8xy is 4x(x - 2y).
INTRODUCTION~Algebraic Forms and their ElementsAlgebraic form is a mathematical form whose presentation involves symbols or letters to represent unknown numbers.
Elements of Algebra:1. Variables, Constants and Coefficients
Pay attention to the algebraic form 3x + 2y + 3
From the algebraic form above, x and y are variables (variables), while the number 3 is a constant. A variable is a substitute symbol for a number whose value is not clearly known. While constants are terms of an algebraic form in the form of numbers and do not contain variables.
And what is meant by the coefficient is the constant factor of a term in algebraic form. The coefficient on the 3x term is 3, on the 2y term it is 2.
2. Terms and Factors
» The term is part of the algebraic form which is limited by the operation of addition (+) or difference (-). The term one is an algebraic form that is not connected by the operation of addition or difference.
Example: 2x, 2a², -4xy, . . .
» Term two is an algebraic form that is connected by an operation of sum or difference.
Example: 2x + 3, a² - 4, 3x² - 4x, . . .
» Similar terms in algebraic form are terms that have the same variable and the same power.
Example:
2a is similar to 3a, 4a, etc.
» Factors are part of the algebraic form that is restricted to multiplication operations.
Example: 5n = 5 × n, 5 and n are factors of 4n, respectively.
Calculation Operations on Algebraic Form1. Addition and subtraction of algebraic forms can only be done on similar terms.
2. Multiplication and division of algebraic forms.
Multiply two terms by constants or variables.
Example:
3 (4y + 5)
= (3 × 4y) + (3 × 5)
= 12y + 15
Division of two terms with a variable or constant, for example:
(8y+4)/2 = 8y/2 + 4/2 = 4y + 2
DISCUSSION4x² - 8xy
= 4xx - 8xy
= 4xx + 2 × 4xy
= 4x (x - 2y)
Conclusion:So, The factoring of the algebraic form 4x² - 8xy is 4x(x - 2y).
Learn More:(mampir ke indo:v)
Algebraic subtraction material: https://brainly.co.id/task/35216852Algebraic arithmetic operations: https://brainly.co.id/task/26250852The equation of the value of x in algebraic form: https://brainly.co.id/task/42124780_____________
Answer Details:Class: 7 Middle SchoolSubject: MathMaterial: Chapter 2.1 -Operations of Algebraic FormsCategorization Code: 7.2.2.1Keywords: Factor algebraIf triangle ABC is reflected across the x-axis, what are the coordinates of point A’? (, )
Answer: I don't really know because there is no picture of what coordinate A was before it was reflected across x-axis.
2,826 rounded to the nearest tenth
Answer:
2,826
Step-by-step explanation:
A tenth is the first place value after the decimal point
In this case, 2,826.00
To round a number to the tenths place, we look at the hundredths place
If the number is 5 or more, we add 1 to the tenths place, and leave the numbers to the right 0's
If the number is 4 or less, we keep the number as it is in the tenths place, and leave the numbers to the right 0's
In this case, the hundredths place is a 0, which is less than 4, so we keep the 0 in the tenths place, and leave the to the right 0's.
Thus, our final answer is 2,826.
10 + (-3 3/8)
Please explain of how i can do this
Answer:
53/8 or 6.625
Step-by-step explanation:
10 + (-3 3/8)
Convert everything to a fraction having the same denominator.
-3 3/8
-24/3 - 3/8
-27/8
10
80/8
Combine: (80/8 - 27/8) = 53/8 or 6.625
How many 4 ounce servings can I make from a 2/38 pound salmon. Someone please help! I'm super stumped!
PROVE: BD is congruent to BE. Provide steps and reasons.
Answer:
It is congruent
Step-by-step explanation:
Because AB and BC are congruent, having DE bisect them
directly in the middle creates equal lines of BD and BE.
Solve for x. 4 1/2 ≤ 1.2x
x ≥ 3 3/4
x≤3 3/4
x≥5 2/5
x≤5 2/5
Step-by-step explanation:
4 1/2 < 1.2x
4.5 < 1.2x
4.5/1.2 < x
3.75 < x
3 3/4 < x
Option 2 is the correct answer
Answer:
the second one x<3 3/4 is the answer
solve the problem (pls help fast)
21²/0.219 to 2 significant figures
Awnser please jsjshshshdh
Answer:
No
Step-by-step explanation:
A function cannot have two of the same x values (3 and 3)
I hope this helps!
Find the value of N the expression 24 : N = 12 : 17.
Answer:
N = 34
Step-by-step explanation:
METHOD I
(hit and trial)
The given two ratios have to be equal.
This means, 24 : N must break down to 12 : 17 after dividing it by some common factor.
The common factor here is 2.
Since,
12 × 2 = 24
17 × 2 = 34
[tex] \boxed{\mathsf{ \underline{N \: must \: be \: 34}}}[/tex]
(after dividing the first ratio by 2(common factor) we get the second ratio. Meaning that they become equivalent as required by the question).
METHOD II
(mathematical approach)
Ratios can be written in form of fractions as:
[tex] \boxed{ \mathsf{ \frac{24}{N} = \frac{12}{17} }}[/tex]
Cross multiplying:
[tex] \implies \mathsf{24 \times 17 = 12 \times N }[/tex]
taking 12 to the denominator:
[tex] \implies \mathsf{ \frac{24 \times 17 }{12} = N }[/tex]
24 and 12 gets canceled and 2 takes up their spot
(why?
=> 24 ÷ 12 = 2)
[tex] \implies \mathsf{2 \times 17 = N } [/tex]
[tex] \implies \mathsf{2 \times 17 = N } [/tex]
[tex] \implies \mathsf{ N = 34 } [/tex]
[tex] \implies \mathsf{ N = 34} [/tex]
What will be the result when each term sin2theta+cos2theta =1 is divided by sin2theta
Answer: Did you copy and paste this because this just hits different. message me if i misunderstood this.
Step-by-step explanation:
Mr Thompson drew a rectangle on the chalk board with a length to width ratio 5 to 2 he asked students to draw a rectangle with the same ratio of length to width in their journals. Audrey plans to draw a rectangle with a width of 6 centimetres .
get ratioed skull skull
15.
Write a direct variation equation if x = 7 and y = 42.
16.
Use the equation in example 15 to find x if y = 66.
Answer:
15. y = 6x
16. x = 11
Step-by-step explanation:
15. A direct variation equation is of the form ...
y = kx
Solving for k, we find ...
k = y/x = 42/7 = 6
The equation is y = 6x.
__
16. Filling in the given values, we have ...
66 = 6x
11 = x . . . . . . . divide by 6
5x=30
AAAA
Help.. -v-
Answer:
x equals 6:
5x=30
x=30/5
x= 6
Answer:
x=6
Step-by-step explanation:
to help you understand whatever you do on one side you do on the other so
in this case to find x we need to divide x by 5 and if we divide x by 5 we also
need to divide 30 by 5
∵5x=30
∵5x÷5=30÷5
∵x=6
2) Last Friday, Trevon had $17.64.
He received money from mowing
the yard. Trevon now has $32.18
How much money did he receive?
Answer:
$14.54
Step-by-step explanation:
We use the equation 32.18-17.64 to find our answer of $14.54
Out of the people who called in during a ratio station poll, 9 out of 25 chose pop as their favorite type of music. 1 out of 5 callers chose rock, 6 out of 75 chose classical, and 18 our of 50 callers chose R&B. Which pair of ratios are equivalent?
Brainliest to a person who gets it right. Need Answer ASAP please!!
Write the sentence as an equation.
u more than 178 equals p reduced by 309
Type a slash ( 1 ) if you want to use a division sign.
Submit
An appropriate tip for a waiter at a restaurant is at least 15%. For a tab of $20, how much money should be left, including tip?
$23, a $20 bill plus $3 tip
paul, colin and brian are waiters.One night the restaurant earns tips totalling £78.40.
They share the tips in the ratio 2:1:5.
How much more does Brian get over Colin?
Answer:
£39.20
Step-by-step explanation:
2+1+5=8
£78.40/8 = 9.8
9.8*5= 49
49-9.8= 39.2
. A circulating pump consumes 450 W for 24 hr a day. a. Determine the energy consumed for a one-year period. b. Calculate the utility energy charges for this period at a rate of $0.12/kWh. c. Determine the energy saved for a one-year period, if the pump is switched off 8 hr a day. d. Calculate the energy cost savings for this period at a rate of $0.12/kWh, if the pump is switched off 8 hr a day.
Answer:
a. 3942 kWh
b. $473.04
c. 1314 kWh
d. $157.68
Step-by-step explanation:
a.There are 1000 W in 1 kW, so 450 W = 0.450 kW. The energy used per day is ...
(0.45 kW)(24 h) = 10.8 kWh . . . . energy per day
Then in a 365-day year, the energy used is
(365 da/yr)(10.8 kWh/da) = 3942 kWh/yr
__
b.At the rate of $0.12/kWh, the cost of running the pump is ...
($0.12/kWh)(3942 kWh/yr) = $473.04/yr
__
c.Switching the pump off for 1/3 of the time will save 1/3 of the energy found in part (a):
1/3(3942 kWh) = 1314 kWh . . . . energy saved by switching off the pump
__
d.The savings will be 1/3 of the cost of running the pump full time:
1/3($473.04/yr) = $157.68/yr
Brad needs to rent scaffolding to paint a 2-story room. Handy Rentals charges $15 plus $12.50 per hour. The EZ Rental Company charges $7.50 plus $13.75 per hour. For how many hours would Brad need to rent the scaffolding for the cost to be the same from each rental company?
Answer:
6 hours
Step-by-step explanation:
lmk if you want an explanation
find the area of this shape
please
Total area = 12 + 18 = 30cm²
Answer:
Area of the right angled triangle:-
= height × base ÷ 2
= 4 cm × 6 cm ÷ 2
= 4 cm × 3 cm
= 12 cm²
Area of the rectangle:-
= length × breadth
= 6 cm × 3 cm
= 18 cm²
Area of the figure:-
= 12 cm² + 18 cm²
= 30 cm²
Lailah earns $9 per week working at the aquarium. Write and solve an inequality that can be used to find how many hours she must work in a week to earn at least $135. Explain the solution.
Answer: 15
Step-by-step explanation:
9 x h = 135
9 x 15 = 135
solve similar triangles (advanced)
Step-by-step explanation:
since m<CBA = m<EDA = 90
, < A is a common angle
then : triangle EDA is similar to triangle CBA
then : 11/3+X = 2/3
33=6+2X
27=2X
X=13.5
What is the quotient (91y3 + 21y2 − 35y) ÷ 7y?
answer:13yexponent2+3y−5
HELP MEPLZPLZPXLZOSNSJSJSJSSJJS
Answer:
F. 30 G. 8
Step-by-step explanation:
F. 9 / 9 + 6 = 18 / BC
9 + 6 = 15
9 / 15 = 18 / BC
9 x 2 = 18
15 x 2 = 30
G. 9 / 6 = 12 / EC
9/6 reduces to 3/2
3/2 = 12/EC
3 x 4 = 12
2 x 4 = 8
6/7 is in simplest form
Answer:
6/7 is the simplest form.
Hope this helps :)
kate has 2.95 in quarter and nickels she has 23 coins how many quarters and nickles does she have
Answer:
9 quarters and 14 nickles
The number of quarters is 9.
The number of nickels is 14.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
Number of quarters = x
Number of nickels = y
Now,
1 quarter = $0.25
1 nickel = $0.05
Two equations are:
x + y = 23 ____(1)
x = 23 - y _____(2)
0.25x + 0.05y = 2.95 _______(3)
Putting (2) in (3) we get,
0.25(23 - y) + 0.05y = 2.95
5.75 - 0.25y + 0.05y = 2.95
5.75 - 2.95 = 0.20y
2.8 = 0.20y
y = 2.8/0.20
y = 14
Now,
x + y = 23
x = 23 - 14
x = 9
Thus,
There are 9 quarters and 14 nickels.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ5
Algebra Find the values of x and y.
Step-by-step explanation:
hope this help you::::::::::)
Mr.Wedmore works at a car dealership and earns a monthly salary of $2,000. He also earns 25% commission on the gross profit of the car sales. If Mr.Wedmore brought in $10,000 worth of profit, for the dealership, how much would he earn this month
Answer:
25% of 2000= 500
25% of 10000= 2500
Step-by-step explanation: