The statement that accurately describes what Marisol should do next is that Marisol should go back and group the terms in Step1 as (6x³– 22x²) – (9x – 33) and it can be determined by using the factorization method.
Given that,Marisol grouped the terms and factored the GCF out of the groups of the polynomial [tex]\rm 6x^3- 22x^2- 9x + 33[/tex].
We have to find,To factor out the common GCF out of the group, the following steps should have been taken by Marisol.
According to the question,Marisol grouped the terms and factored the GCF out of the groups of the,
Polynomial; [tex]\rm 6x^3- 22x^2- 9x + 33[/tex].To factor out the common GCF out of the group, the following steps should have been taken by Marisol following all the steps given below.
Step1: Regroup into parts using parenthesis and taking the negative sign common,[tex]\rm= 6x^3- 22x^2- 9x + 33\\\\= (6x^3-22x^2) - (9x-33)[/tex]
Step2; Firstly find out the common terms and rewrite the equation,[tex]= (6x^3-22x^2) - (9x-33)\\\\= 2x^2(3x^2-11) -3(3x-11)\\\\= (2x^2-3) (3x-11)[/tex]
Hence, The statement that accurately describes what Marisol should do next is that Marisol should go back and group the terms in Step1 as (6x³– 22x²) – (9x – 33).
For more details about Polynomial refer to the link given below.
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Which equation represents a line that is perpendicular to the line represented by 2x - y = 7?
Answer:
the answer is number 1 )
Step-by-step explanation:
we know that
if two lines are perpendicular
so
the slopes
m1*m2=-1
we have
2x-y=7-------> y=2x-7------------> slope m1=2
find slope m2
m2=-1/m1------> m2=-1/2
the slope m of the perpendicular line must to be -1/2
so
the answer is
y = -1/2x + 6
Ashley and Christopher want to camp on the other side of a lake at point B. They are both going to kayak to the campsite from their homes. Ashley lives at point A and is kayaking from point A to point B. Christopher lives at point C and is kayaking from point C to point B. Based on the picture below, Ashley will kayak ___ miles more than Christopher. 0.5 mi, 1.5 mi, 2.5 mi, 3.0 mi. Please help!
Applying the midsegment theorem, the distant Ashley will kayak more than Christopher is: 0.5 mi
Recall:
The midsegment of a triangle joins two sides of a triangle at their midpoint.The third side is the base of the triangle.Triangles have three midsegments.Based on the midsegment theorem, the length of the midsegment = ½(third side).The picture given shows a triangle with two midsegments: AB and BC
AB = the distance Ashley will kayak.
BC = the distance Christopher will kayak.
XY = 5 mi (base)
XZ = 6 mi (base)
Applying the midsegment theorem, find AB and BC.
AB = ½(XZ)
SubstituteAB = ½(6)
AB = 3 mi
BC = ½(XY)
SubstituteBC = ½(5)
BC = 2.5 mi
Thus, the distance Ashley will kayak more than Christopher = AB - BC
= 3 mi - 2.5 = 0.5 mi.
Therefore, applying the midsegment theorem, the distant Ashley will kayak more than Christopher is: 0.5 mi
Learn more about the midsegment theorem on:
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Please help!!!! :) thank you!
Answer:x-3
Step-by-step explanation:
NO LINKS!!!
Help please ;-;
And please answer all 1, 2, 3, 4 questions!
Choose the inequality that describes the following
____ 1. The set of numbers {‐3, ‐2, ‐1, 0, 1, ...}
A. x > ‐4
B. x < ‐4
C. x ≥ ‐4
D. x ≤ ‐4
____ 2. The set of numbers {9, 8, 7, …}
A. x > 9
B. x < 9
C. x ≥ 9
D. x ≤ 9
____ 3. The set of numbers {0, -2, -4, -6, -8, ...}
A. x > 0
B. x < 0
C. x ≥ 0
D. x ≤ 0
____ 4. The set of numbers {-6, -4, -2, 0, 2, 4, 6, ...}
A. x > ‐6
B. x < ‐6
C. x ≥ ‐6
D. x ≤ ‐6
1. A
2. D
3. D
4. C
(IF YOU NEED A EXPLANATION, JUST ASK!)
the set $s = \$ contains the first $50$ positive integers. after the multiples of 2 and the multiples of 3 are removed, how many integers remain in the set $s$?
Clearly, |S| = 50.
Count the multiples of 2 between 1 and 50:
⌊50/2⌋ = ⌊25⌋ = 25
(where ⌊x⌋ denotes the "floor of x", or the largest integer that is smaller than or equal to x; in other words, round down to the nearest integer)
Count the multiples of 3 between 1 and 50:
⌊50/3⌋ ≈ ⌊16.667⌋ = 16
Since LCM(2, 3) = 6, the sets of multiples of 2 and multiples of 3 have some overlap. Count the multiples of 6 between 1 and 50:
⌊50/6⌋ ≈ ⌊8.333⌋ = 8
Then by the inclusion/exclusion principle, we remove from S
25 + 16 - 8 = 33
elements, so that the new set S contains 50 - 33 = 17 elements.
y=6x-17 -12x+2y = -34 ??
Carry learning!
Stay safe!
Study hard!
A hot-air balloon is tied to the ground with two taut ropes. One rope is directly under the balloon and makes a right angle with the ground. The other rope forms an angle of 60º with the ground. Which statements are correct?
A) d ≈ 60 ft.
B) d ≈ 66 ft.
C) h ≈ 104 ft.
D) h ≈ 108 ft.
E) angle of depression = 30°
Answer:
d ≈ 60 ft., h ≈ 104 ft.
Step-by-step explanation:
Additionally: angle of depression = 60°
The angle of elevation and the angle of depression are congruent.
HI CAN YOU PLEASE HELP ME
Answer:
11 C
12 D
13 B
14 E
15 A
Step-by-step explanation:
pure definition case. there is nothing to solve, and not really anything to explain in addition to the assigned texts.
The Wilson family invited 100 relatives to their Christmas party. 90 guests had Dutch heritage, 80 had German heritage and 75 had English heritage. What is the minimum number of people who claimed ancestry from all three heritages? What is the formula i use to find out the answer of the question? and how do i find out the answer?
Answer:
Out off 100
Step-by-step explanation:
10 don't have dutch heritage.
20 don't have German heritage.
25 don't have English heritage.
100 - 55
At minimum, 45 people have all three heritages.
2) (x8y2)(x3y11)
a) xlly13
b) x24y22
c) xSy
d) 1
Answer:
the answer would be A.)
Step-by-step explanation:
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box.
Answer:
y = -1/3x - 5
Introduction:
The slope intercept form of a line is y = mx + b. Now, let's start out by solving the slope.
Step-by step explanation:
=> Slope = rise/run = [tex]\frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]=> Slope = [tex]\frac{-3- (-7) }{-6-6 }[/tex]=> Slope = [tex]\frac{4}{-12}[/tex]=> Slope = [tex]\frac{-1}{3}[/tex]Since we have found the slope, let's find the y-intercept to create our equation.
=> y-intercept = -5Conclusion:
Therefore, our new equation is y = -1/3x - 5
Hoped this helped.
[tex]BrainiacUser1357[/tex]
$765. 13 is deposited at the end of each month for 2 years in an account paying 12% interest compounded monthly. Find the amount of the account. Round your answer to the nearest cent. A. $18,911. 18 b. $19,873. 08 c. $20,638. 21 d. $21,403. 34.
The amount of the account which is also the principal is = $3,188
The formula for calculating the simple interest (I) of an account is = P × T × R / 100
Making P the subject of formula, P = 100 × I / T×R
Where,
T = 2 years
R = 12%
I = $765. 13
[tex]p = \frac{100 \times 765.13}{2 \times 12} [/tex]
[tex]p = \frac{76513}{24} [/tex]
p = $3,188
Therefore, the amount of the account which is also the principal is = $3,188
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ASAP HELP PLEASE SHOW ALL WORK
*Find the value of x. Show all the work
The line of length 48 is passing through the midpoint of traingle so it's half of base
[tex]\\ \sf\longmapsto \dfrac{3x}{2}=48[/tex]
[tex]\\ \sf\longmapsto 3x=96[/tex]
[tex]\\ \sf\longmapsto x=32[/tex]
how to evaluate in math?
HELP PLEASE
there are nine children and Kenneth preschool class three of them chose to play at the sand table based on past data is 12 preschoolers are at school today how many should you expect to play at the sand table
Answer:
4 are playing at the sand table
Step-by-step explanation:
There were 9 kids at Kenneth's preschool and 3 were playing, thats one third of the kids(3x3=9). One third of 12 is 4(3x4=12) Basically since there were 9 total kids, and 3 at the sand table, they are divided equally in groups of three so you just divide 12 by 3 too and thats how you get 4
Solve this system of equations, then determine what y equals.
x + 5y= 7
2x + 4y = -4
A y=-18
B y=3
C y=8
D y=-8
[tex]x+5y = 7~~~....(i)\\\\\\2x+4y = -4~~~.....(ii)\\\\\\\text{Multiply equation (i) by 2,}\\\\\\2x+10y = 14~~~.....(iii)\\\\\\(iii) - (ii):\\\\2x+10y-2x-4y = 14-(-4)\\\\\implies 6y = 14+4\\\\\implies 6y = 18\\\\\implies y = \dfrac{18}6\\\\\implies y = 3[/tex]
WILL GIVE BRAINLIESTTT!!!!!!!!!
Find the solution of the system of equations.
6x+y=30
-2x-5y=18
Answer:
x-y=12 or x=12+y??????
Step-by-step explanation:
6x+y=30
-2x-5y=18
Add the equations up: 4x-4y=48
Divide by 4
x-4y=12
Divide by 4 again
x-y=12
+y on both sides
x=12+y
(I might be wrong)
Answer:
[tex]x=6; y=-6[/tex]
Step-by-step explanation:
Unless you're required to use any particular method, let's add the first to twice the second to eliminate x:
[tex]6x+y-6x-15y=30+54 \rightarrow -14y=54 \rightarrow y=-6[/tex]
At this point let's plug this value of y in the first equation and find x:
[tex]6x+(-6)=30 \rightarrow x-1=5 \rightarrow x=6[/tex]
Vika made $35,500 last year. If her income is increased by 10.5%, what is her adjusted income,
Ai? (show equation).
Answer:
$39,227.50
Step-by-step explanation:
Vika's income will be ...
$35,500 + 10.5%×35,500 = $35,500(1 +0.105) = $39,227.50
Vika's adjusted income is $39,227.50.
what is the relationship between the amplitude of light of light waves and brightness
Answer: The amplitude of light waves is associated with our experience of brightness or intensity of color, with larger amplitudes appearing brighter.
What is 39,800,000 in scientific notation? A. 3.98 x 10 B. 398 x 10 C. 3.98 x 10 D. 39.8 x 10
Answer:
3.98 x 10^7
Step-by-step explanation:
Answer:
3.98 x 10⁷Review:
What is scientific notation: It is a number that is between 1-10 and is written in exponents.
Instruction:
We need to re-write the number "39,800,000" that is between 1-10 and is written in exponents.
Solution:
=> 39,800,000 = 398 x 10⁵This is still not in scientific notation form because it is not between 1-10. Let's simplify further.
=> 398 x 10⁵ = 3.98 x 10⁵⁺²=> 3.98 x 10⁷This is now in scientific notation form because it follows the 2 reasons to form a scientific notation.
Conclusion:
Therefore, 3.98 x 10⁷ is the number in scientific notation.
[tex]BrainiacUser1357[/tex]
Trey will be splitting 2 3/4 pies with himself and 5 friends. how much pie will each person get?
Answer: 11/24
Step-by-step explanation:I turned 2 and 3/4 into an improper fraction which got me 11/4.
There are 5 friends and him so that's 6 people.
So we can't do 11/4 divided by 6 so we must put 6 over 1.
So 11/4 divided by 6/1
Then we do "Keep Change Flip"
We keep 11/4
We change the division sign to multiplication
Then we flip 6/1 to 1/6
Then the problem is re wrote as:
11/4 times 1/6
And that equals 11/24 as your answer
So each person gets 11/24 of the pies.
plzzzzz help!! 20 points
Eric's dog gets 34.7 grams of protein in each meal. How much protein does the dog get in 4 meals?
Answer:
242.9 grams
Step-by-step explanation:
Erics dog get 34.7 grams each meal, When He gets 4x the amount all you are doing is 34.7x4 which equals 138.8 grams
M(ax+by+c)=0 make y subject
[tex]M(ax+by +c)=0\\\\\implies ax+by +c =0\\\\\implies by = -ax-c\\\\\implies y = \dfrac{-ax -c}{b}\\\\\implies y = - \left(\dfrac{ax+c}b \right)[/tex]
What is 2log5(5x^3)+1/3log5(x^2+6)
Answer:
Ill help you if you come help me with mine c:
Step-by-step explanation:
here is mine:
The values of f(x) and g(x) are shown for selected values of x in the table below.
x f(x) g(x)
0 0 1
1 3 2
2 6 4
3 9 8
4 12 16
Of these two functions, one is exponential and the other is linear. Determine which of the functions is linear, and explain why this must be the case.
on a coordinate plane, triangle a b c is shown. point a is at (negative 1, 1), point b is at (3, 2), and points c is at (negative 1, negative 1)if line segment bc is considered the base of triangle abc, what is the corresponding height of the triangle?
Answer:
The corresponding height of the triangle is [tex]1.2[/tex]
Step-by-step explanation:
We have[tex]\Delta ABC[/tex]
Here [tex]AD[/tex] is the height
We need to draw perpendicular from [tex]A[/tex] to [tex]BC[/tex]
The distance from the point [tex](m, n)[/tex] to the line [tex]A x+B y+C=0[/tex] is given by:
[tex]d=\frac{|A m+B n+C|}{\sqrt{A^{2}+B^{2}}}[/tex]
First let us calculate equation of [tex]BC[/tex]
[tex]y-y_1=m(x-x_1)\\\\y-2=\frac{2--1}{3--1} (x-3)\\\\y-2=\frac{3}{4} (x-3)\\\\4y-8=3x-9\\\\3x-4y=1[/tex]
Now distance from [tex](-1,1)[/tex] to [tex]3x-4y-1=0[/tex] is
[tex]d=\frac{|A m+B n+C|}{\sqrt{A^{2}+B^{2}}}\\\\=\frac{|3 \times1+-4\times-1-1|}{\sqrt{3^{2}+(-4)^{2}}}\\\\=\frac{6}{5}\\\\=1.2[/tex]
Part of a bridge spans a river 35 metres wide. One third of the length of the bridge is on one side of the river and 20% of the length of the bridge is on the other side.
Answer:
[tex]35 \times 20 \div 100 = 7 \\ 35 - 7 = 28[/tex]
Plz help me with this
the square root of 700 times square root of 525 in simplest form
Answer: 350 [tex]\sqrt{3[/tex]
Step-by-step explanation:
700^0.5 = 10 [tex]\sqrt{7\\[/tex]
525^0.5 = 5 [tex]\sqrt{21[/tex]
10[tex]\sqrt{7[/tex] x 5[tex]\sqrt{21[/tex] = 50 x 7 x [tex]\sqrt{3[/tex] = 350[tex]\sqrt{3\\[/tex]
Please help I’ll give brainliest ASAP
Answer:
1 I don't know if those are questions but try if they are try the first one a
Zero is a solution for which inequality?
4.1m > -16.4
4.1m > 16.4
-4.1m > 16.4
4.1m < -16.4
Since 0 is greater than -4 in the expression 4.1m >-16.4, hence zero is a solution to this inequality
Given the following inequality, we are to check which of them has zero as a solution.
For the expression
4.1m >-16.4
m > -16.4/4.1
m > -4
Since 0 is greater than -4, hence zero is a solution to this inequality
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