If your company needs to produce 7,800 products by the end of the next 12 weeks, how many products will you need to produce each week to finish on schedule?

Answers

Answer 1

Answer:

The company will have to produce at least 650 products each week to achieve 7800 products in 12 weeks

(7800 products divided by 12weeks = 650 products per week)

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What is the slope-intercept form equation of the line that passes through (2, 4) and (4, 10)?

Answers

$x_(1)=2\ny_1=4\nx_2=4\ny_2=10$
equation of the line passes through two points:
$(x_2-x_1)(y-y_1)=(y_2-y_1)(x-x_1)\n(4-2)(y-4)=(10-4)(x-2)\n2y-8=6x-12\n2y=6x-4\ny=3x-2$

the slope is $\frac {10-4}{4-2} = 3$ and thus our equation becomes $y-4=3*(x-2)$ .
If we rearrange terms we get $y=3x-2$

Joe solved this linear system correctly.6x+3y=6

y=−2x+2

These are the last two steps of his work.

6x−6x+6=6

6=6

Which statement about this linear system must be true?

a) x must equal 6

b) y must equal 6

c) there is no solution to this system

d) there are infinitely many solutions to this system

Answers

There are infinitely many solutions because the first two equations are actually the same just arranged differently so there's not enough information to know what x or y are in other words they could be anything.

What is the length of a side of a cube with a volume of 2197 ft3?

Answers

Vloume = (Length)^3
so, Length = (2197)^(1/3)
Length = 13 ft

A team won 3 of their first 10 games. If they win the next n games, they will have won 50% of their games. What is the value of n?

Answers

If the team wins the next n games, the number of games they win becomes 3 + n. The total number of games is 10 + n. The ratio of games won over total number of games would be 1/2.
(3 + n) / (10 + n) = 1/2
From the equation, the value of n is 4.

50%=50/100=1/2

$(3+n)/(10+n)$ = $(1)/(2)$
solve
multiply both sides by (2)(10+n)
(2)(3+n)=(1)(10+n)
6+2n=10+n
minus n from both sides
6+n=10
minus 6 from both sides
n=4

answer is n=4

Which expression is eqivalent to (x^2-3x)(4x^2+2x-9)

Answers

For this case we must find an expression equivalent to:

$(x ^ 2-3x) (4x ^ 2 + 2x-9) =$

We apply distributive property, term by term, taking into account that: $- * + = -\n- * - = +\nx ^ 2 * 4x ^ 2 + x ^ 2 * 2x-x ^ 2 * 9-3x * 4x ^ 2-3x * 2x + 3x * 9 =$