Answer:
B. 2x(x + 3)(2x – 1)
Step-by-step explanation:
A. 2(x + 3)(2x – 1)
= (2x + 6)(2x - 1)
= 4x² - 2x + 12x - 6
= 4x² + 10x - 6
B. 2x(x + 3)(2x – 1)
= (2x² + 6x)(2x - 1)
= 4x³ - 2x² + 12x² - 6x
= 4x³ + 10x² - 6x
C. 2x(x – 3)(2x – 1)
= (2x² - 6x)(2x - 1)
= 4x³ - 2x² - 12x² + 6x
= 4x³ - 14x² + 6x
D. 2(x – 3)(2x + 1)
= (2x - 6)(2x + 1)
= 4x² + 2x - 12x - 6
= 4x² - 10x - 6
The completely factored form of 4x3 + 10x2 – 6x is 2x(x + 3)(2x – 1)
Answer:
The correct answer is B: 2x(x+3)(2x-1)
Step-by-step explanation:
I got it right on the quiz.
What number lies halfway between -2 and -1?
Answer:
-1.5
Step-by-step explanation:
IM BEGGING PLEASE HELP One angle of the triangle is 30% larger than the other and 36 ° smaller than the third. Find the angles of the triangle.
9514 1404 393
Answer:
52°, 40°, 88°
Step-by-step explanation:
Let x represent "one angle". This is 30% larger than "the other", so we have ...
x = "the other" × (1 +30%)
x/1.30 = "the other"
If x is 36° smaller than the third, then the third is x+36.
__
The sum of the angles is 180°.
x + x/1.3 + (x +36) = 180
x(2 +1/1.3) = 144
x = 144/(2 +1/1.3) = 52
x/1.3 = 52/1.3 = 40
x +36 = 88
The angles of the triangle are 52°, 40°, and 88°.
A line passes through the point (-1, -2) and has a slope of 5.
Write an equation in slope-intercept form for this line.
Answer:
[tex]y=5x+3[/tex]
Step-by-step explanation:
Slope-intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line crosses the y-axis)
1) Plug the given slope 5 into the equation
[tex]y=mx+b\\y=5x+b[/tex]
2) Find the y-intercept [tex]b[/tex] by plugging in the point (-1,-2)
[tex]y=5x+b\\-2=5(-1)+b\\-2=-5+b[/tex]
Add 5 to both sides
[tex]-2+5=-5+b+5\\3=b[/tex]
3) Plug the y-intercept back into the equation
[tex]y=5x+3[/tex]
I hope this helps!
Which best describes the relationship between association and causation?
Answer:the existence of an association does not empty a causation
Step-by-step explanation:
a direct casual link cannot be inferred the association merely suggests a hypothesis such as a commom cause but does not offer proof
A rectangle is 14 inches long and 6 inches wide. Find its area. A 78 square inches B 20 square inches C 84 square inches D 26 square inches
Answer 34 square inches
Step-by-step explanation 2+2+2+4+4+9+9
A 60$ purse is on sale for 10% give the sell price
Answer:$54
Step-by-step explanation:
60(0.9) = $54
answer:
$54
step-by-step explanation:
sale means a decrease from the original amountsince there is a sale of 10%, we would multiply by 90% since we are trying to find the sale price60 X 90% - - > 60 X 0.90
you can convert 90% into 0.90 so it is easier to multiply60 X 0.90 = 54
= $54
five out of 12 apple trees in a small orchid are taller than 9 ft what is the decimal equivalent of the number of apple trees taller than 9 ft
Could anyone help me with this question? Thank you!
Answer:
C
Step-by-step explanation:
We want to simplify the rational expression:
[tex]\displaystyle \frac{n^4-11n^2+30}{n^4-7n^2+10}[/tex]
First, we can factor both the numerator and the denominator. This yields:
[tex]\displaystyle =\frac{(n^2-6)(n^2-5)}{(n^2-2)(n^2-5)}[/tex]
Cancel like terms:
[tex]\displaystyle =\frac{(n^2-6)}{(n^2-2)}[/tex]
However, since we canceled a term from our expression, we must place restrictions in order to stay true to the original expression.
Rational expressions are undefined whenever the denominator equals 0. The denominator is (before canceling):
[tex](n^2-2)(n^2-5)=0[/tex]
Solve for n. By the zero product property:
[tex]n^2-2=0\text{ and } n^2-5=0[/tex]
Therefore:
[tex]n^2=2\text{ and } n^2=5[/tex]
By taking the square root of both sides (since we are taking an even root, it is required to have plus/minus):
[tex]n=\pm\sqrt{2}\text{ and } n=\pm\sqrt5[/tex]
Therefore, our fully simplified expression is:
[tex]\displaystyle \frac{n^2-6}{n^2-2}\, ,n\neq \pm\sqrt5, \pm\sqrt2[/tex]
Hence, our answer is C!
List the four reasons given by governments for determining how to use land in the interest of the public.
pls help me
Answer: health, safety, morals and general welfare.
Step-by-step explanation: Governments have justified their actions in determining how land is used with the four interests of health, safety, morals, and general welfare.
(PLEASE MARK BRAINLIEST)
what microsofttamurchen said
Step-by-step explanation:
GIVE THEM BRAINLIEST !!
Add the polynomials :)
Answer:
4x^3+6x^2-15x+6
Step-by-step explanation:
Answer:
[tex]4x^2 + 6x^2 - 15x + 5[/tex]
Step-by-step explanation:
Hello!
We can add like terms.
The terms that we see here are [tex]x^3, x^2, x,[/tex] and integer values.
We can combine like terms by adding the coefficients.
Add[tex](6x^2 - 9x + 6)+(4x^3 - 6x)[/tex][tex]6x^2 - 9x + 6 + 4x^3 - 6x[/tex][tex]4x^3 + 6x^2 - 9x - 6x + 6[/tex][tex]4x^2 + 6x^2 - 15x + 5[/tex]Order: Highest degree to lowest degree. The final expression is [tex]4x^2 + 6x^2 - 15x + 5[/tex]
which lines are parallel or perpendicular? line A:(-4,-1)(2,-2)line B:(-5,-3)(5,1) line C:(-2,-3)(2,-1)
Answer:
none of the lines are parallel or perpendicular to each other
Step-by-step explanation:
which lines are parallel or perpendicular? line A:(-4,-1)(2,-2)line B:(-5,-3)(5,1) line C:(-2,-3)(2,-1)
in order to know which lines are parallel or perpendicular, we need to find the slopes of the lines given
Slope M = y2-y1/x2-x1
For line A;
Ma = -2+1/2+4
Ma = -1/6
Slope of line A is -1/6
For line B;
Mb = 1 -(-3)/5-(-5)
Mb = 1+3/5+5
Mb = 4/10
Mb = 2/5
The slope pf line B is 2/5
For line C;
Mc = -1-(-3)/2-(-2)
Mc = -1+3/2+2
Mc = 2/4
Mc = 1/2
Hence the slope of line C is 1/2
Since all the slopes are different , hence none of the lines are parallel or perpendicular
convert y=x^2-4x+5 to vertex form by completing the square
Answer:
The vertex form will be:
[tex]y(x)=(x-2)^{2}+1[/tex]
Step-by-step explanation:
The equation of the vertex form of a quadratic equation is given by:
[tex]y(x)=a(x-h)^{2}+k[/tex]
Where:
a is a coefficient
h is the x value of the vertex
k is the y value of the vertex
To completing the square we just need to add and subtract the square of the term with x divided by 2.
[tex]y(x)=x^{2}-4x+(\frac{4}{2})^{2}-(\frac{4}{2})^{2}+5[/tex]
[tex]y(x)=x^{2}-4x+4-4+5[/tex]
[tex]y(x)=(x-2)^{2}-4+5[/tex]
Finally, the vertex form will be:
[tex]y(x)=(x-2)^{2}+1[/tex]
I hope it helps you!
what is multimedia? explain various types of multimedia.
Answer:
multi media is the computer system that has graphics, animation, text, video , etc
The sum of numbers is 28. the difference of two numbers is -2. find the numbers
Answer:
x=13 and y=15
Step-by-step explanation:
Let the 2 numbers be x and y
ATQ,
x+y = 28 ------ eqn.1
x-y=-2 -------- eqn.2
Adding both the equations:
x+y=28
+x-y=-2
_______
2x = 26
Therefore x=13
Now substituting the value of x in eqn. 1
x+y=28
13+y=28
Therefore y=28-13
=15
Help me with this!!!
Answer:
The coordinate of the midpoint is -2 1/2.
Step-by-step explanation:
Think of "midpoint" as "average" in this problem. The average of the endpoints -10 and 5 is (-10 + 5)/2, or -5/2, or -2 1/2
Determine the value of theta, to the nearest degree. Please show work.
Answer:
∅ = 22.33°
Step-by-step explanation:
tan 28° = h/15
0.5317 = h/15
h = 7.98
sin ∅ = h/21
sin ∅ = 7.98/21
sin ∅ = 0.38
∅ = 22.33°
What is an equation of the circle with center (2,-5) and radius 9.
Answer:
(x-2)^2 + (y+5)^2= 9^2
Step-by-step explanation:
6. Peter is standing next to a flagpole and wants to
know how tall it is. Peter knows that he is 5'6" tall,
and that his shadow is 3'3" long. If the flagpole's
shadow is 9'9" long how tall is the flagpote?
Answer:
forstone
Step-by-step explanation:
sike I lied I dont know this RESPECTFULYY!!
Simplify: a(8 + 2b - 6)
Answer:
2ab+2a
Step-by-step explanation:
I need help with these answer them
Answer:
on which on do you need help on but let me know
Step-by-step explanation:
huh
Please help me!!! 30 points, will report for ridiculous responses.
Answer:
The value of an exterior angle is the sum of the two interior angles not adjacent to it so
a:
x = 64 + 45 = [tex]\boxed{109}[/tex]
b:
3x + 6 = 153 so
3x = 147 so
x = [tex]\boxed[/tex][tex]\boxed{49}[/tex]
Question 6 (2 points)
The perimeter and the ratio of the length to the width of a rectangle are given. Find the length and width of the rectangle.
Perimeter: 50 inches.
I:w=3:2
Answer:
Step-by-step explanation:
Ratio = 3 : 2
Length =3x
Width = 2x
Perimeter = 50 inches
2*(length + width ) = 50
2* (3x + 2x ) = 50
2* 5x = 50
10x = 50
x = 50/10
x = 5
Length = 3*5 = 15 inches
Width = 2*5 = 10 inches
help me whit this please
Answer:
(5,-3) *red* i cant tell wht it says very well
Step-by-step explanation:
what is the median of the following numbers? 6,4,1,9,3,8,3,5,10
Complete the proof that angle XYZ is congruent to angle WXY.
Answer:
Step-by-step explanation:
They are the same angle in the obtuse triangle and same points but mixed up proof: you can highlight the lines and make points for the letters w x and y hope this helps :)
John can play 12 songs on his guitar but learns 1 new song every week. Aiden can play 4 songs but learns 2 every week
Given :
John can play 12 songs on his guitar but learns 1 new song every week. Aiden can play 4 songs but learns 2 every week.
To Find :
How many weeks will it be before Aiden knows as many songs as john?
Solution :
Let, after x weeks Aiden know a songs and John know j songs.
The linear equation for both the situation is :
a = x + 12 .....( For Aiden )
j = 2x + 4 ......( For John )
We need to find in which week Aiden knows as many songs as John.
For this , a = j
x + 12 = 2x + 4
x = 8
Therefore, in 8th week both of them know the same number of songs.
7. What is the solution set for -2x-8<2?
Answer:
-2x - 8 < 2
-2x < 10
x > -5
Which value is the range of the data set?
A)
250
B)
470
500
D)
720
Answer:
it is B = 470
Step-by-step explanation:
720 - 250 = 470
What is the solution or solutions to the equation x + 5 = 5x ?
Answer:
x = 5/4
Step-by-step explanation:
[tex] (\frac{1}{15} - \frac{1}{20} )[/tex]