What is a simplified form of the expression 2(–x + 2) + 3x?
Answers
In the simplified form the expression is x+4
Answer:
x+4
Step-by-step explanation:
Related Questions
A cylindrical package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 141 inches. Find the dimensions of the package of maximum volume that can be sent. (The cross section is circular.)
I need help please
Translate the sentence into algebraic symbols.If a number is increased by 27 and then the sum is multiplied by seven, the result is 150.
Multiply the fraction by the whole number. Find the answer as a proper fraction or mixed number in simplest terms. *3 x 4/5: options*2 3/5*1 2/5*2 1/5*2 2/5
Answers
Answer:
the answer is 32.8in.
Step-by-step explanation:
(sin 22)/42 = (sin 24)/x
x = 45.60
sin 46 = x/45.60
x = 32.80
32.8in.
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Algorithm to find the cheapest route to visit each city and return home again to Athens.
Answers
Answer:
the answer is Athens-Buford-Cu-Dacul-Athens
Step-by-step explanation:
b. What question about the Gooey Gushers can you answer by calculating 312⋅12%?
Answers
Answer:
a) Given expression,
12% of 312
Since 100% of 312 = 312
⇒ 10% of 312 = 31.2,
⇒ 1% = 3.12
⇒ 2% = 2 × 3.12 = 6.24
So, 12% of 312 = 10% of 312 + 2% of 312
= 31.2 + 6.24
= 37.44
b) Given,
Total number of servings = 312,
The percentage of vitamin C in each serving = 12%,
Thus, the total amount of the vitamin C in 312 servings = 12% of 312
= 37.44,
Hence, the question can be asked about the total amount of the vitamin C.
Answers
Y=22
The work is in picture
Answers
Answer:
$45.79 multiplied by .50 equals 22.895
Answer:
686.85
Step-by-step explanation:
Answers
Answer:
L1 and L2 are skew
Step-by-step explanation:
Since the equation of the line is
L1:x=9+6t,y=12-3t,z=3+9t
L2:x=4+16s, y=12-8s, z=16+20s
then if they intersect each other , they will have both in that point P=(xp , yp ,zp) then
1)9+6t = 4+16s
2) 12-3t =2-8s
3) 3+9t = 16+20s
adding 2*2) to 1)
9+6*t + 24-6t = 4+16*s + 4-16*s
33 = 8
since this is not possible , the error comes from our assumption that the lines intersect each other
then they are skew or parallel. They are parallel if their corresponding vectors are parallel , that is
L1 (x,y,z) = (9,12,3) + (6,-3,9)*t
L1 (x,y,z) = (4,2,16) + (16,-8,20)*t
then if they are parallel
(16,-8,20)= k*(6,-3,9)
16=6*k
-8 = -3*k
20= 9*k
since there is no k that satisfy for x , y and z simultaneously then L1 and L2 are not parallel
therefore L1 and L2 are skew
Final answer:
The lines L1 and L2 are neither parallel nor intersecting. Upon comparing their direction vectors and attempting to find a common solution, it is determined that they are skew.
Explanation:
In order to determine whether two lines in three dimensions are parallel, skew, or intersecting, we compare their direction vectors. The given lines L1 and L2 are in the form of parametric equations. The direction vectors for the lines are d1 = <6, -3, 9> for L1 and d2 = <16, -8, 20> for L2. To determine if they are parallel, we check if there is a constant ratio between the corresponding terms. This isn't the case here, so the lines are not parallel.
For skew lines, they neither intersect or are parallel. Since we have already confirmed the lines are not parallel, to confirm if they are skew we must try to find a common solution (point of intersection). If we cannot, then they are skew. However, solving the equations does not give a common solution, so they do not intersect either. Hence, the lines are skew.
Learn more about Analysis of Lines in 3D here:
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