Answer:
Step-by-step explanation:
(x+6)(x+1)(x-4)
= (x^2 +x+6x+6)(x-4)
= (x^2+7x+6)(x-4)
= x^3 +3x^2 -22x-24
The simplified form of the expansion (x+6)(x-1)(x-4) is x³+x²-26x+24
What is a simplification of an expression?Simplifying an expression is meant to add or subtract the like terms together.
What is an expansion?Expansion of (a+b)(c+d) is given by
(a+b)(c+d)=a(c+d)+b(c+d)=ac+ad+bc+bd
How to solve it?(x + 6)(x - 1)(x - 4)
=( x + 6){x(x - 4) - ( x - 4)}
=( x + 6 ){x² - 4x - x + 4}
=( x + 6 ){x² - (4+1)x + 4}
= ( x + 6 ){x² - 5x + 4}
= x{x² - 5x + 4} + 6{x² - 5x + 4}
= x³ - 5x² + 4x + 6x² - 30x + 24
= x³ + x² - 26x + 24
So, the simplified form of the expansion (x+6)(x-1)(x-4) is x³+x²-26x+24
Learn more about simplification here-
brainly.com/question/17579585
Find the x
Please help me and show how you got it :)
9514 1404 393
Answer:
x = 4
Step-by-step explanation:
The parallel lines divide the sides proportionally, so ratios of corresponding sides are the same.
(x +5)/15 = (5x +1)/35
Multiplying by 105, we have ...
7(x +5) = 3(5x +1)
7x +35 = 15x +3 . . . . . eliminate parentheses
32 = 8x . . . . . . . . . subtract 7x+3 from both sides
4 = x . . . . . . . . divide by 8
which two ratios represent quantities that are proportional help i will mark as brainless
Answer:
A
Step-by-step explanation:
So, lets take all of our ratios, and simplfy them the best we can. Once we do this, we can easily compare and see which ratios are and are not similar.
So lets start with A:
21/28 and 12/16
Lets simplfy each fraction.
The greatest number that goes into the numeraotr and denominator(GCF) of 21/27 is 7. Taking out 7 we get:
3/4
We can do the same with the 12/16. 4 goes into both the numerator and denominator:
3/4
So this would work.
Lets look at the others, and see if any others work as well:
56/64 and 36/48
8 goes into both 56 and 64:
7/8
4 goes into 36 and 48:
9/12
These are clearly different.
Next we have 9/10 and 10/9
We can instantly see that one is bigger than 1, and the other is smaller than 1, so they must be different.
Finally we have 5/7 and 7/14
Again, these are clearly different.
If we give both the same denominator, which can be 14, we get:
10/14 and 7/14
We get 10/14 from 5/7 since we need to multiply both numerator and denominator by 2 so that the 7 becomes 14 in the denominator.
10/14 adn 7/14 are clearly different, so these dont work as well.
Only A, which is 21/28 and 12/16, will work.
Hope this helps!
expand and simplify (×+3)(×-2)
Answer:
multiplyeach values on both sides
Answer:
x^2 +x -6
11 [tex]\frac{3}{10}[/tex]
[tex]\frac{77}{6}[/tex]
Step-by-step explanation:
what is the answer for this question? on the screenshot
PLEASE HELP PICTURE ABOVE
Answer:
x = 6.8829
Step-by-step explanation:
[tex]\frac{sin\left(35\right)}{x}=\frac{sin\left(90\right)}{12}[/tex]
Answer:
x ≈ 6.8
Step-by-step explanation:
Label each side of the triangle with "a" (adjacent), "o" (opposite), or "h" (hypotenuse).
Side x is the opposite, side 12 is the hypotenuse, and the other side is the adjacent.
Use SOH-CAH-TOA to find the missing side (Sin, Cos, Tan).
To find x, we need to use SOH or Sin(a)= O/H
Plug in the adjacent angle for a and 12 for h then solve:
Sin(35)=O/12
The calculator approximation of Sin(35) is 0.5735.
0.5735 ≈ O/12
Multiply both sides by 12:
12 * 0.5735 ≈ O/12 * 12
O ≈ 6.882
Round to nearest tenth:
O ≈ 6.8
Write the equation for a line Parallel to this one.
y = 3x + 2
a
y = 3x + 2
y = 3x + 7
ос
y = (1/3)x + 7
Od
y = -(1/3)x + 3
Answer:
actually, a and b are correct, as any line is also parallel to itself (a).
b is probably the truly wanted answer, as this line is on a chart visible as a second line and parallel to the first one.
Step-by-step explanation:
the factor of x is also the slope of the line.
for a line to be parallel to another, both need to have the same slope.
the constant number in the equation is the offset of the line from point (0,0) in y direction.
so, b is a parallel line 4 units above the first line.
What's the area of these two shapes please explain!
Answer:
Figure 1 is 50 cm. Figure 2 is 225 mm.
Step-by-step explanation:
PLEASE HELP!!!!
Pythagorean Theorem
Answer:
Pythagorean Theorem is A^2+B^2=C^2
Step-by-step explanation:
Within a video game, there are rounds that the 5 players play. Within each of the rounds, one of the players will win. The game ends once one of the players reaches 5 total wins.
Given that the rounds are won by random chance, what is be the average amount of rounds needed to play in order for the game to conclude?
Sorry if the question is a little loaded. If you have any questions about the wording, I can elaborate in the comment thingy.
A group of 23 friends gets together to play a sport. First, people must be
divided into teams. Each team has to have exactly 4 players, and no one can
be on mpre than one team. How many teams can they make? (It is possible
that not everyone can be on a team.)
Answer:
5.75
Step-by-step explanation:
given soln23 friends 23/4
4 players each team 5.75
A triangle has sides with lengths of 8 centimeters, 15 centimeters, and 17 centimeters. Is it a right triangle?
Answer:
Yes it is!
Step-by-step explanation:
If you want to know whether it is, use the pytheoream theory. a2+b2=c2
a is the shortest side, b is the second longest and c is the longest.
In this case, the equation will be:
8 sq + 15 sq = 17 sq
64 + 225 = 289
= It is a right-angled triangle!
ab - 0.5b when a = 1 and b = 5
Answer:
2.5
Step-by-step explanation:
a = 1
b = 5
ab
= 1 x 5
= 5
0.5b
= 0.5 x 5
= 2.5
ab - 0.5b
= 5 - 2.5
= 2.5
Answer:
2.5
Step-by-step explanation:
ab - 0.5b
a = 1 and b = 5
(1)(5) - 0.5(5)
Multiply (1)(5) = 5
5 - 0.5(5)
Multiply -0.5(5) = -2.5
5 - 2.5
Subtract 5 - 2.5 = 2.5
2.5
Bacteria colonies can triple in size every 4
days. If you start with 48 bacteria
microorganisms, how large would the
colony be after 12 days?
First, complete the equation:
Future Amount = [?](1+[10]
Answer: The equation is 4 x 3 x 3 = 432
Step-by-step explanation:
PLEASE ANSWER ASAP!!!! PICTURE SHOWN
8. The perimeter of the equilateral triangle is
157.5 inches.
The probability of getting a head when
flipping an unbiased coin
Answer:
.5 = 50%
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
So probabilityof getting a head or tail, when an unbiased coin is tossed is = 1
Solve for X.
-4(3 + 4x) - 8(x + 6) = 12
Please show work
Answer:
-3
Step-by-step explanation:
-4(3+4x)-8(x+6)=12
-12-16x-8x-48=12
-12-48-16x-8x=12
-60-24x=12
24x=-60-12
24x=-72
x=-72/24
x=-3
Answer:
x = -3
Step-by-step explanation:
-4(3 + 4x) - 8(x + 6) = 12
-12 - 16x -8x - 48 = 12
-24x - 60 = 12
-24x = 72
x = -3
Javier bought 1/2 liter of soda for his party. Javier's brother bought a liter of soda and Javier's mom bought 200 milliliters of soda. How many total milliliters did Javier have for his party?
Answer:
1,700 milliliters
Step-by-step explanation:
Convert the liters that Javier and his brother got into milliliters.
In 1 liter, there are 1000 milliliters.
So, Javier's brother bought 1000 milliliters of soda.
And, in 1/2 liter of soda, there are 500 milliliters. So, Javier bought 500 milliliters of soda.
Add these two amounts to how much Javier's mom bought:
500 + 1000 + 200
= 1700
So, for his party, Javier has 1,700 total milliliters of soda.
Emilio plays basketball. During his last 6 games he made 24 out of 60 free
throw shots. If Emilio will have 25 free throws shots in the next games,
about how many he expects to make?
24 out of 60 is 0.4 which is 40%, so to find out how many he would make in 25 throws you multiply 25 by 0.4 then you would get 10 out of 25.
If y* -4x+1 were changed to y =- 2x + 6, how would the graph of the new line
Answer:
4x+1 to 2x+6 the graph has been shifted or reflected on the y-axis
What rule did you use to complete the table?
Answer:
hey. could you post a pic of the table you completed so we could help you find the rule
Fill in the blank (check all that apply). 3 and _ are like terms.
Answer:
Any number that does not have a variable or is not raised to a power is a like term of 3!
Step-by-step explanation:
A like term is a term that has the same variable and/or is raised to the same power. Hope this helps! I can’t see a picture of the problem, so I hope this makes things a little clearer!
Answer:
Any numbers without variables are like terms of three. Examples:
1,2,3,4,5,6,7,8,9,10
Step-by-step explanation:
A woman purchases 10 bananas and 15 oranges. What percentage of fruit purchased was oranges?
Answer:
60%
Step-by-step explanation:
Fruit = 10+15 = 25
Percent oranges = oranges / fruit
= 15/25 = .6 = 60%
Help please worth 20 points!!!
Value of x? Complementary angles, easy.
Answer:
14 = x
Hope that this helps!
30 ≥ 5(6n) Choose the correct answer. n ≤ 2 or
n ≤ 1
Answer:
1 ≥ n
Step-by-step explanation:
30 ≥ 5(6n)
Distribute
30 ≥ 30n
Divide each side by 30
30/30 ≥ 30n/30
1 ≥ n
30 >= 5(6n)
Divide both sides. Y 5:
6 >= 6n
Divide both sides by 6:
1 >= n
Rewrite as: n ≤ 1
Can someone help me with this. Will Mark brainliest.
That would be central angels !
Please mark me, I'd like to get to virtuoso.
The perimeter of a rectangle is 32 inches. The length is 1 foot. What is the width of the rectangle in inches? A. 4 inches B. 10 inches C. 15 inches D. 20 inches 12 / 15
Answer:
A. 4 inches
Step-by-step explanation:
Applying,
P = 2(L+W)............. Equation 1
Where P = Perimter of the rectangle, L = Length of the rectangle, W = width of the rectangle.
make W the subject of the equation
W = (P/2)-L............ Equation 2
From the question,
Given: P = 32 inches, L = 1 foot (Convert from Foot to inches), L = 12 inches
Substitute these values into equation 2
W = (32/2)-12
W = 16-12
W = 4 inches.
Hence the right option is A.
Which of the following expressions is equal to the value of x?
A. 12/(sin15)
B. (sin15)/12
C. 12(sin15)
Answer:
A
Step-by-step explanation:
[tex]sin15=\frac{12}{x} \\ x=\frac{12}{sin15}[/tex]
Find the expression different from the others. Do this by showing that the other four are equivalent to each other using the properties of exponents. (4 points)
A)2^4x+2
B)4•16^x
C)2+4^4x
D)2^2 • 4^x (over) 4^-x
E)4^2x+1
Answer:
C) 2+4^4x
Step-by-step explanation:
A) 2^(4x+2) = 2^4x • 2² = 16^x • 4
B) 4 • 16^x = 16^x • 4 (already done)
D) 2^2 • 4^x (over) 4^-x
= 4 • 4^x • 4^x = 16^x • 4
E) 4^(2x+1) = 4^2x • 4¹ = 16^x • 4
Jeremy read that the population of his town increased by 10% in the 1980s,and then increased by another 10% in the 1990s.What is the population at the end of the 1990s?
Answer:1.21x
Step-by-step explanation:
Let the initial population was x
(1.1x)*1.1=1.21x