Using long division to find the quotient, what changes do you first
need to make to the dividend (125x3 - 8)?
(125x3 – 8) = (5x – 2)
Answer:
[tex]\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4[/tex]
Step-by-step explanation:
Given
[tex]Dividend = 125x^3 - 8[/tex]
[tex]Divisor = 5x - 2[/tex]
Required
Determine the quotient
See attachment for complete process.
First, divide 125x^3 by 5x
[tex]\frac{125x^3}{5x} =25x^2[/tex]
Write [tex]25x^2[/tex] at the top
Multiply [tex]5x - 2[/tex] by [tex]25x^2[/tex]
[tex]= 125x^3 - 50x^2[/tex]
Subtract from 125x^3 - 8
i.e.
[tex]125x^3 - 8 - (125x^3 - 50x^2) = 50x^2 - 8[/tex]
Step 2:
Divide 50x^2 by 5x
[tex]\frac{50x^2}{5x} = 10x[/tex]
Write [tex]10x[/tex] at the top
Multiply [tex]5x - 2[/tex] by [tex]10x[/tex]
[tex]= 50x^2 - 20x[/tex]
Subtract from 50x^2 - 8
i.e.
[tex]50x^2 - 8 - (50x^2 - 20x) = 20x - 8[/tex]
Step 3:
Divide 20x by 5x
[tex]\frac{20x}{5x} = 4[/tex]
Write [tex]4[/tex] at the top
Multiply [tex]5x - 2[/tex] by [tex]4[/tex]
[tex]= 20x - 8[/tex]
Subtract from 20x - 8
i.e.
[tex]20x - 8 - (20x - 8) = 0[/tex]
Hence:
[tex]\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4[/tex]
if 4x^2 - 100 = 0, the roots of the equation are
Answer:
±5
Step-by-step explanation:
4x²-100=0
4x²=100
x²=100/4
x²=25
x=√25
x=±5
Answer:
4x^
Step-by-step explanation:
4x^2 = 100
4x^2/4 = 100/4
x^2=25
x=5
252/550.3 PLSSSSS HELP IM IN THE MIDDLE OF CLASS HELP PLS
Answer: 2.1
Step-by-step explanation:
Z is the center of the circle. Suppose that QR = 26, TV = 13, SV = 2x + 1, and VZ = 8. Find x and UZ.
Need answers ASAP. GIving out brainliest if possible!
Answer:
if you mulitply (19*19*27*10*10) you get:
974700
can someone please help I’m trying to get my grades up it’ll be greatly appreciated
Answer:
A. 4
B. 8
Step-by-step explanation:
what is 9-3 divied by 1/3 + 1 =
Answer:
1
Step-by-step explanation:
3 divided by 1/3 is 9, and 9-9=0
0+1=1
1
Step-by-step explanation:
MYSTERY NUMBER OF POINTS . Hint its 100. Solve to receive.
7m + 3y - 2m + y + 8
ANSWER
5m + 4y + 8
Have a great day
Answer:
5m + 4y + 8 is the answer or are you asking for the answer-?
Answer:
thank you
have a good day..❤
The sum of m and 10
Twenty-four decreased by a number c
Twelve more than eight
The product of three and seven diminished by five
Six multiplied by the sum of seven and a
The quotient of y and negative five
The difference between x and y divided by three
Divide the sum of the square of a and b thrice c
Answer:
m + 10c - 248 + 12 (3×7) - 5(7 + a) × 6y ÷ (-5)(x - y) ÷ 3[tex] {(a + b)}^{2} \div 3c[/tex]Fully factorise 12r + 16
Answer:
4(3r+4)
Step-by-step explantion:
The factorized form of the given expression is 4(3r+4).
The given expression is 12r+16.
What is factorization?The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.
Factorization of the expression 12r+16 is as follows
Here, in terms 12r=2×2×3×r and 16 =2×2×2×2, we have 4 has common factor
So, 4(3r+4)
Hence, the factorized form of the given expression is 4(3r+4).
To learn more about the factorization visit:
https://brainly.com/question/26923098.
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If a person is on an 1,800-calorie diet, then how many of their calories will come from fruit?
Answer:
270 calories
Step-by-step explanation:
Please help need answers ASAP
Answer:
0.527
Step-by-step explanation:
From the question,
The sequence is Geometry Progression (G.P)
Tₙ = arⁿ⁻¹.......................... Equation 1
Where n = number of term, a = first term, r = common ratio
Given: n = 7, a = 6, r = 2/3
Substitute these values into equation 1
T₇ = 6(2/3)⁷⁻¹
T₇ = 6(2/3)⁶
T₇ = 6(64/729)
T₇ = 384/729
T₇ = 0.527
Hence, the 7th term of the sequence is 0.527
Need ASAP!
six less than twice a number is half the number plus twelve
Find the ratio of Rs.50 to 100 paise
Answer:
50:1
Step-by-step explanation:
Rs50=Rs50
100 paise= Rs1
Ratio = 50:1 [ cant be simplified further]
I hope im right!!
Another way:
Rs50= 50 x 100 = 5000 paise
100 paise= 100 paise
Ratio = 5000: 100
[tex]\frac{5000}{100}[/tex] ÷ [tex]\frac{100}{100}[/tex] = [tex]\frac{50}{1}[/tex]
Ratio = 50:1
If 7 : 11 :: x : 154, then x is
Answer:
98
Step-by-step explanation:
7 : 11 :: x : 154
Also,
[tex] \frac{7}{11} = \frac{x}{154} [/tex]
[tex] = > \frac{x}{154} = \frac{7}{11} [/tex]
[tex] = > x = \frac{7 \times 154}{11} [/tex]
=> x = 7 × 14
=> x = 98 (Ans)
SOMEONE PLEASE HELP. !! ASAP!! NO BULL ANSWERS !!
Answer: does this count as a bull answer
Step-by-step explanation:
Answer:
(3,-3)
Step-by-step explanation:
I hope this helps you on your journey to success.
hey please help with this question( no links!!)
Answer:
d. 200.96 sq. in
Step-by-step explanation:
radius = diameter/2 = 16/2 = 8
Area of the circle = pi x r²
= 3.14 x 8²
= 3.14 x 64
= 200.96
PLEASE HELP !! 100 POINTS !! (and brainliest)
Find the area for the following figure. Explain or show how you got your answer.
Answer:
area =no of full square + half square =24+1/2×5=26.5 unit ²
Please help me answer this question!
7) Samantha has saved $100 to buy a new laptop. Each month, she saves $15 towards the laptop. What expression could be used to find the total amount saved after M months? Explain why
pliss i need it for today
Answer:
Step-by-step explanation: Have you used my tutor because it works and helps me by them explaining every step.
https://app.paper.co/dashboard
This is not a virus just saying, my school uses this by the way.
Colin invests £100 into his bank account.
He receives 4% per year compound interest.
How much will Colin have after 7 years?
Give your answer to the nearest penny where appropriate.
Answer: £100×104/100×104/100×104/100×104/100×104/100×104/100×104/100
=131.59
AP LANG HW
-can someone please help me with it... i have 30 missing assignments and the deadline is tonight
Answer:
ill try and help you but im on the same string rn too i have 12 assignment to do 2nite too
Step-by-step explanation:
Does anyone know how to do this?
Answer:
1)X+4=2x-17+10
X. =2x-7-4
11=X
DF=11+4
=15
2)FH~
11x+71=12x+32
12x-11x =71-32
X=39
FH=(11×39)+71+(12×39)+32
=1000
3)57+39+8x-12=180
8x+84-84=180-84
8x=96
X=12
4)11x+2=68
11x=66
X=6
5)114+X+37+X=139
2x+151. -151=139-151
X=-6
Answer:
1. x=11
2. x=39
3. x= 12
4. x=6
5. x=-6
Step-by-step explanation:
1. x+4= 10+2x-17
FG=GH
x+4=2x-7
11=x
2. 11x+71=12x+32
subtract from both sides
39=x
3. All angles of a triangle add to 180.
39+57+(8x-12)=180
96+(8x-12)=180
8x-12=84
8x=72
divide both sides by 8
x=9
4. Vertical angles are equal
68=11x+2
66=11x
divide
6=x
5. (114+x)+(37+x)=139
Add like terms
151+2x=139
subtract
2x=-12
x=-6
how many square feet of outdoor carpet will we need for this hole
Answer:
Step-by-step explanation:
area=(6+3)/2×4+7×3+1/2×2×3
=18+21+3
=42 ft²
Tomiko has a 1:24 scale drawing of her house. In the drawing the dimensions of the rectangular kitchen are 5 3/4 inches by 4 1/4 inches. What is the area, to the nearest square foot of Tomiko's actual kitchen?
Answer: 9 4/4 or 10 whole
Step-by-step explanation:
5 x +4+=34
6y+3=45
8z - 7=57
11t-16=39
2n -6=12+4
3z+4=22???
Answer:
z=6
Step-by-step explanation:
3z +4=22.3z+4-4=22-4.3z=18.3_3=18_3
plz answer don't send link
if you cycled for 3 hours and travelled 54 km calculate your average speed
Answer:
18 km/h.
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Answer:
Step-by-step explanation:
[tex]s=\frac{d}{t}\\ \\ s=\frac{54km}{3hr}\\ \\ s=18\frac{km}{hr}[/tex]
I need help now plzzzz
Step-by-step explanation:
I think Option A is your answer ☺️☺️☺️
answer fast please
Calculate the slope of the line going through A(-4,3) and B(0,6)
Answer:
[tex] \frac{3}{4} [/tex]
Step-by-step explanation:
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]m = \frac{6 - 3}{0 - ( - 4)} [/tex]
[tex]m = \frac{6 - 3}{0 + 4} [/tex]
[tex]m = \frac{3}{4} [/tex]