Answer:
3x^2 - 7x +4
Step-by-step explanation:
see step on the file joint
The quotient of 9x³ - 21x² + 12x divided by 3x is 3x² - 7x + 4.
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given, A cubic polynomial 9x³ - 21x² + 12x and being divided by 3x.
So, (9x³ - 21x² + 12x)/(3x).
= 9x³/3x - 21x²/3x + 12x/3x.
= 3x² - 7x + 4.
So, The quotient when 9x³ - 21x² + 12x and being divided by 3x is
3x² - 7x + 4.
learn more about polynomials here :
https://brainly.com/question/11536910
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If the perimeter of a rectangle garden with a width of 15 is 125, what is the perimeter of the daily record it if the scale factor is 60%
Answer:
(here i assume that the daily record is another rectangle)
For a rectangle with width W and length L, the perimeter is:
P = 2*W + 2*L
in this case we know that:
P = 125
W = 15
Replacing these in the perimeter equation we get:
125 = 2*15 + 2*L
125 = 30 + 2*L
125 - 30 = 2*L
95 = 2*L
95/2 = L = 47.5
Now we know that the daily record has a scale factor of 60%.
This means that each measure of this rectangle is (60%/100%) times the equivalent measure of the rectangle garden.
Then if the width of the daily record is W' and the length of the daily record is L'
This means that:
L' = (60%/100%)*L = 0.6*L = 0.6*47.5
W' = (60%/100%)*W = 0.6*W = 0.6*15
Then the perimeter is:
P' = 2*0.6*47.5 + 2*0.6*15 = 75
(notice that is exactly the same than multiplying the original perimeter by (60%/100%) = 0.6)
PLEASE HELP!! desperate!
Solve this;
one angle of a triangle measures 35°. A second angle measures (3x)°, and the third angle measures 2x - 20)°. what is the value of x?
Answer:
x = 33
Step-by-step explanation:
Sum of the angles in a triangle is 180 so,
35 + 3x + 2x - 20 = 180
35 + 5x - 20 = 180
15 + 5x = 180
5x = 180 - 15
x = 165/5
x = 33
Write and solve an equation to find the value of x and a missing angle in the triangle below.
Answer:
angle UTS +TSU =TUV
THEREFORE, 81 + 12X =24X+9
THEREFORE, 81 - 9 = 24X - 12X
THEREFORE, 72 = 12X
THEREFORE, 72/12 =X
THEREFORE, x = 6
THEREFORE, ANGLE TSU = 12 * X
= 12 *6
= 72
YOUR ANSWER IS
X=6
TSU=72
THANK YOU......
If f(x)=x^3-12x^2+35x-24f(x)=x 3 −12x 2 +35x−24 and f(8)=0f(8)=0, then find all of the zeros of f(x)f(x) algebraically.
Answer:
The zeros of f(x) are: (x - 1), (x - 3) and (x - 8)
Step-by-step explanation:
Given
[tex]f(x)=x^3-12x^2+35x-24[/tex]
[tex]f(8) = 0[/tex]
Required
Find all zeros of the f(x)
If [tex]f(8) = 0[/tex] then:
[tex]x = 8[/tex]
And [tex]x - 8[/tex] is a factor
Divide f(x) by x - 8
[tex]\frac{f(x)}{x - 8} = \frac{x^3-12x^2+35x-24}{x - 8}[/tex]
Expand the numerator
[tex]\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 -8x^2 + 3x + 32x - 24}{x - 8}[/tex]
Rewrite as:
[tex]\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 + 3x - 8x^2 +32x - 24}{x - 8}[/tex]
Factorize
[tex]\frac{f(x)}{x - 8} = \frac{(x^2 - 4x + 3)(x - 8)}{x - 8}[/tex]
Expand
[tex]\frac{f(x)}{x - 8} = \frac{(x^2 -x - 3x + 3)(x - 8)}{x - 8}[/tex]
Factorize
[tex]\frac{f(x)}{x - 8} = \frac{(x - 1)(x - 3)(x - 8)}{x - 8}[/tex]
[tex]\frac{f(x)}{x - 8} = (x - 1)(x - 3)[/tex]
Multiply both sides by x - 8
[tex]f(x) = (x - 1)(x - 3)(x - 8)[/tex]
Hence, the zeros of f(x) are: (x - 1), (x - 3) and (x - 8)
What is an equation of the line that passes through the point ( − 1 , − 3 ) and is perpendicular to the line x − 2 y = 14?
Answer:
y = -2 -5
Step-by-step explanation:
x - 2y = 14
-2y = -x + 14
y = 1/2x - 7
-3 = -2 (-1) + b
-3 = 2 + b
-5 = b
y = -2 -5
identify the values of a, b, and c for the quadratic function in standard form y=-8x^2+6x-3
At Mauras feeding boutique for out of the 40 beads on clearance are plastic what percentage of beads on clearance are plastic
Answer:
The answer is "6".
Step-by-step explanation:
Please find the complete question in the attached file.
Given:
[tex]percenatge= 15 \%\\\\beads= 40[/tex]
[tex]\to \frac{15}{100} \times 40\\\\\to \frac{600}{100} \\\\\to 6[/tex]
Find the value of 3a when a= 6.
Answer:
18
Step-by-step explanation:
a = 6
3a = 6 x 3 = 18
When you see alphabets with numbers at the back like 2, 4 or etc, just multiply them.
Alberto pagó el año pasado 350 euros por un servicio de teléfono móvil. Si este año ha pagado 378 euros, ¿qué tanto por ciento ha aumentado en el gasto de teléfono móvil?
Answer:
the percentage increase is 5.3%
Step-by-step explanation:
The computation of the percentage increase is shown below:
= (Current year - last year) ÷ (last year)
= (378 euros - 359 euros) ÷ (359 euros)
= 19 euros ÷ 359 euros
= 5.3%
hence, the percentage increase is 5.3%
Please answer...Easy math
Answer:
[tex] P(A^c) =0.38[/tex]
Step-by-step explanation:
[tex]\because P(A) + P(A^c) = 1 \\ \\ \therefore \: P(A^c) = 1 - P(A) \\ \\ \therefore \: P(A^c) = 1 - 0.62 \\ \\ \therefore \: P(A^c) =0.38[/tex]
Hannah and Jenny are selling pies for a school fundraiser. Customers can buy cherry pies and
blackberry pies. Castel sold 13 cherry pies and 1 blackberry pie for a total of $97. Jasmine sold
6 cherry pies and 3 blackberry pies for a total of $93. What is the cost each of one cherry pie and
one blackberry pie?
Answer:
6 for cherry
19 for blackberry
Step-by-step explanation:
Cherry = x
Blackberry = y
Make system of equations:
Castel:
13x + y = 97
Jasmine:
6x + 3y = 93
Substitution w/ Castel's equation:
y = 97 - 13x
Put into Jasmine's equation
6x + 3(97 - 13x) = 93
6x + 291 - 39x = 93
291 - 33x = 93
-33x = -198
x = 6 $ per Cherry Pie
Plug x = 6 into any equation (choose Castel's):
13(6) + y = 97
y + 78 = 97
y = 19 $ per Blackberry Pie
**Check answers... and it's correct yay
Can anyone help??? due in 10 mins please.
Step-by-step explanation:
(6x+4)+(4x+26)+110°=180°{straight angle}
10x+140=180°
10x=180-140
x=40/4
x=10
(6x+4)=(6×10+4)=(60+4)=64°
(4x+26)=(4×10+26)=40+26=66°
hope it helps.
Answer:
6x+4+4x+26+110=180 straight line
10x=180-140
x=40/10=4
<A=4x+26=4×4+26=42
Solve for the variable
Answer:
v= 25
Step-by-step explanation:
Try to isolate the variable by getting rid of the 5. Multiply both sides of the equation by 5 to cancel out the 5 on the left side. You are left with 7v= 35(5). Simplified it is 7v= 175. Then to get the v alone, you need to divide both sides by 7 to cancel out the 7 on the left side. You are left with v= 175/7.
This is v= 25
For the graphed function f(x) = (4)x - 1 + 2, calculate the average rate of change from x = 2 to x = 4.
Answer:
[tex]Average = 30[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 4^{x - 1} + 2[/tex]
Required
Average [tex]rate\ of\ change[/tex] from 2 to 4
This is calculated using:
[tex]Average = \frac{f(b) - f(a)}{b - a}[/tex]
Where
[tex]a= 2[/tex] and [tex]b = 4[/tex]
So:
[tex]Average = \frac{f(4) -f(2)}{4 - 2}[/tex]
[tex]Average = \frac{f(4) -f(2)}{2}[/tex]
Calculate f(2) and f(4)
[tex]f(x) = 4^{x - 1} + 2[/tex]
[tex]f(2) = 4^{2-1} + 2[/tex]
[tex]f(2) = 4 + 2[/tex]
[tex]f(2) = 6[/tex]
[tex]f(4) = 4^{4-1} + 2[/tex]
[tex]f(4) = 4^3 + 2[/tex]
[tex]f(4) = 66[/tex]
So:
[tex]Average = \frac{f(4) -f(2)}{2}[/tex]
[tex]Average = \frac{66 - 6}{2}[/tex]
[tex]Average = \frac{60}{2}[/tex]
[tex]Average = 30[/tex]
If f(x)= x2 and g(x)= x + 6, find g(fo)).
OA.
-6
OB.
6
O C.
12
OD.
D. 36
Given:
The functions are
[tex]f(x)=x^2[/tex]
[tex]g(x)=x+6[/tex]
To find:
The value of g(f(0)).
Solution:
We have,
[tex]f(x)=x^2[/tex]
Putting x=0, we get
[tex]f(0)=0^2[/tex]
[tex]f(0)=0[/tex]
Now,
[tex]g(f(0))=g(0)[/tex] [tex][\because f(0)=0][/tex]
[tex]g(f(0))=0+6[/tex] [tex][\because g(x)=x+6][/tex]
[tex]g(f(0))=6[/tex]
Therefore, the value of g(f(0)) is 6 and the correct option is B.
this is wrong bc i need a problem not only one number what is the problem for "When I triple my number and add four, I get ten. What is my number?" this
Answer: 2
Step-by-step explanation:
Let's substitute the number as x in the equation.
Triple means you multiply it by 3.
Then you add four, and get 10.
We can write that like this:
3x + 4 = 10
Then subtract 4 from both sides:
3x = 6
And then divide both sides by 3:
x = 2
So the number is 2.
help me please I'm bad at this
Answer:
39
NOTE: JUST SUBTRACT 45 AND 6
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
help please, i don’t understand
Answer:
x = 13
Step-by-step explanation:
Since the triangles are congruent by AAS.
6x - 1 = 4x + 25
or 2x = 26
x = 13
6th grade math help me pleaseee
Answer:
b=9
Step-by-step explanation:
1/3b=3
divide 1/3 on each side
b=9
Answer:
y=1/3×b 3=1/3×b b=9 So 9 total batched
The value of x in the expression
2x/3 - 7 = 5 is
Answer:
The answer is X = 18
Step-by-step explanation:
2x/3 - 7 = 5
Multiply both sides if the equation by 3 : 2x - 21 = 15
Move the constant to the right hand side and change its sign : 2x = 15 + 21
Calculate 2x = 15 + 21
2x = 36
Divide both sides of the eqaution by 2 : 2x = 36
x = 18
Answer X = 18
Is a triangle with two 45 degree angles unique
Answer:
No. It's just a 90° angle.
Step-by-step explanation:
im in 7th can i get help on these quetion
Answer:
so what is the question pls brief it up
Answer:
CAN U CUMMM?
Step-by-step explanation:
jules has rectangular garden that measures 10feet by 12feet . he wants to plant apples in his garden . his uncle said that one seed packet will be enough to fill in a space 40 square feet will jules garden have enough space to plant 3 seed
Answer:
Yes
Step-by-step explanation:
If the garden is 1O by 12 feet then the entire area is 120 feet. If one seed packet needs 40 feet then there will have to be 120 feet to have enough space for all three.
120 = 120, so Jules has enough space.
Stay safe! <3
Someone please help me in this I don’t want to fail..please..I’m so bad at math..
Answer:
i think your answer would be d
Step-by-step explanation:
hope this helps!
12ax² - (9a² - 8b²) x + (2a² + 5ab + 2b²) = 0 solve for x
Answer:
[tex]\sqrt{\frac{(8b^2-9a^2)^2}{576a^2}-\frac{2b^2+5ab+2a^2}{12a} } -\frac{8b^2-9a^2}{24a} \\\\or\\-\sqrt{\frac{(8b^2-9a^2)^2}{576a^2}-\frac{2b^2+5ab+2a^2}{12a} } -\frac{8b^2-9a^2}{24a}[/tex]
Step-by-step explanation:
The quadratic formula for
[tex]ax^2+bx+c=0[/tex]
the solution is: (-b±√(b²-4ac))/(2a)
The solution is:
[tex]\sqrt{\frac{(8b^2-9a^2)^2}{576a^2}-\frac{2b^2+5ab+2a^2}{12a} } -\frac{8b^2-9a^2}{24a} \\\\or\\-\sqrt{\frac{(8b^2-9a^2)^2}{576a^2}-\frac{2b^2+5ab+2a^2}{12a} } -\frac{8b^2-9a^2}{24a}[/tex]
Help PLZ WILL GIVE BRAINLIEST!!!! What is the value of x?
4
42√
8
82√
Answer:
g
Step-by-step explanation:
Please help me with question 3 guys
PLEASE URGENTLY ANSWER THESE 2 QUESTIONS, I WILL PROVIDE MORE POINTS AND CROWN YOU BRAINLIEST IF YOU DO!!!
-
Use a virtual dice roller or a physical die to roll a die 60 times. record your results in the table below:
Number-----Frequency
1----------------------15
2---------------------13
3---------------------5
4---------------------9
5---------------------8
6---------------------10
What is the proportion of times did you roll a 1? (Already answered)
15 Times (This will be your value of p-hat)
1. Say you want to analyze how likely it is that you rolled the proportion of 1s that you did. Would it be appropriate to use a normal model to figure this out? why or why not?
2. Find the probability that the proportion of 1s that you rolled is less than your value of p-hat. Interpret what you find in context.
Answer:
1. I would think it would be a appropriate to use a normal model to figure this out because sometimes when you are using stuff online you can get the same number like 20 times in a row, whereas, if you use a real dice, you most likely won't roll the same number 20 times.
2. { sorry two doesn't make sense }
Area and perimeter pls
Perimeter 97.24
90 + 5 + 2.25
Area 1008
90 * 5 * 2.24 = 1008