answer:
B -2
Step-by-step explanation:
equation is x-6=5x+2 and you some it like you would for a regular linear expression
Answer:
<h3>B.
![\$10.45](https://tex.z-dn.net/?f=%5C%2410.45)
</h3>
Step-by-step explanation:
CPI stands for Consumer Price Index, which is the measure of average prices to goods and services.
So, in this case, we have to find the average price for the given basket in year 2.
We know that in year 2, a toothbrush tube costs $1.25 and a tube of toothpaste costs $2.10. If we have 5 toothbrushes and 2 tubes of toothpaste, the total cost would be
![5 \ toothbrushes=5(\$1.25)=\$6.25\\2 \ toothpaste \ tubes=2(\$2.10)=\$4.20](https://tex.z-dn.net/?f=5%20%5C%20toothbrushes%3D5%28%5C%241.25%29%3D%5C%246.25%5C%5C2%20%5C%20toothpaste%20%5C%20tubes%3D2%28%5C%242.10%29%3D%5C%244.20)
Now, the CPI would be the sum of these costs
![CPI = \$6.25 + \$4.20=\$10.45](https://tex.z-dn.net/?f=CPI%20%3D%20%5C%246.25%20%2B%20%5C%244.20%3D%5C%2410.45)
Therefore, the Consume Price Index for this basket of goods is
B. ![\$10.45](https://tex.z-dn.net/?f=%5C%2410.45)
A set of vectors {v1,v2,...,vk} is linearly independent if the vector equation x1v1 + x2v2 + .......... + xkvk = 0 has only the trivial solution
x1 = x2 = .... = xk =0. Then the set {v1,v2,...,vk} is linearly dependent otherwise.
So putting in the formula we get
x1u1 + x2u2 + x3u3 = 0
x1u1 + x2u2 = -x3u3
au1 + bu2 = u3 ∵ (-x1/x3 = a & -x2/x3 = b)
On putting in the values
a(3,-1) + b(4,5) = (-4,7)
(3a+4b,-a+5b) = (-4,7)
On comparing we get
3a + 4b = -4 -(1)
-a + 5b = 7 -(2)
on solving these equations we get
b = 17/19 and a= -48/19
which is non trivial.
Thus the following form linearly dependent sets of vectors.
Learn more about linear dependence of vectors here :
brainly.com/question/13776214
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Answer:
5
Step-by-step explanation:
We can see a pattern of 1/2 as the week progresses. 1/2 of 80 is 40, 1/2 of 40 is 20, 1/2 of 20 is 10, so for the fourth week 1/2 of 10 is 5.
Answer:
e = 1.04
Step-by-step explanation:
To find e, we apply the sine rule
e/sineE = f/sineF
e/sine55 = 1.2/sine109
e/0.8192 = 1.2/0.9455
0.9455e = 1.2 x 0.8192
e = 0.9830/0.9455
e = 1.0397
to nearest tenth = 1.04inch