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3 years ago

8

a repair bill for your car is 553. the parts cost 265. the labor cost is 48 per hour write and solve an equation to find the num

ber of hours of labor spent repairing the car

1 answer:

Effectus [21]3 years ago

8 0

Let's represent the number of hours with the variable 'h' (or whatever letter you want it to be):

265 + 48h = 553

Substract both sides by 265:

48h = 288

Divide:

h = 6

6 hours of labor was spent

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3 years ago

mrs_skeptik [129]

Short Answer: 5/36
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To show this, you have to establish that the only linear combination of the three vectors $c_1\mathbf v_1+c_2\mathbf v_2+c_3\mathbf v_3$ that gives the zero vector $\mathbf0$ occurs for scalars $c_1=c_2=c_3=0$ .

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Solving this, you'll find that $c_1=c_2=c_3=0$ , so the vectors are indeed linearly independent, thus forming a basis for $\mathbb R^3$ and therefore they must span $\mathbb R^3$ .

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