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Mice21 [21]
2 years ago
8

Jim needs to run at least 45 miles this week for training, If he has already run 17 miles, how many miles should he

Mathematics
1 answer:
Neporo4naja [7]2 years ago
8 0

Answer:

7 miles

Step-by-step explanation:

45 - 17 = 28 miles

28 : 4 = 7 miles

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The reduced cost for a decision variable that appears in a Sensitivity Report indicates the change in the optimal objective func
pshichka [43]

Answer:C

Step-by-step explanation:

Looking at number line, the function value always range from positive value from 0 to negative numbers to -1

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Covert 298.4 to a fraction
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\\ \sf\longmapsto 298.4

\\ \sf\longmapsto \dfrac{2984}{10}

\\ \sf\longmapsto \dfrac{1492}{5}

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Dante is a software salesman. Let represent his total pay (in dollars). Let represent the number of copies of History is Fun he
valentina_108 [34]

Considering the given linear function, we have that:

  • The change for each copy that he sells is of $120.
  • If he sells no copies, he makes $2400.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

His payment for x copies bought is:

y = 120x + 2400.

Hence:

  • The change for each copy that he sells is of $120, as the slope is of $120.
  • If he sells no copies, he makes $2400, which is the y-intercept.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

4 0
1 year ago
A student solves the following equation and
Phoenix [80]

Answer:

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

Step-by-step explanation:

Considering the expression

\frac{3}{a+2}-6\cdot \frac{a}{-4+a^2}=\frac{1}{a-2}

\frac{3}{a+2}-\frac{6a}{-4+a^2}=\frac{1}{a-2}

\mathrm{Find\:Least\:Common\:Multiplier\:of\:}a+2,\:-4+a^2,\:a-2:\quad \left(a+2\right)\left(a-2\right)

\mathrm{Multiply\:by\:LCM=}\left(a+2\right)\left(a-2\right)

\frac{3}{a+2}\left(a+2\right)\left(a-2\right)-\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right)=\frac{1}{a-2}\left(a+2\right)\left(a-2\right)

as

  • \frac{3}{a+2}\left(a+2\right)\left(a-2\right):\quad 3\left(a-2\right)
  • -\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right):\quad -6a
  • \frac{1}{a-2}\left(a+2\right)\left(a-2\right):\quad a+2

so equation becomes

3\left(a-2\right)-6a=a+2  

-3a-6=a+2

-3a-6+6=a+2+6

-4a=8

\mathrm{Divide\:both\:sides\:by\:}-4

\frac{-4a}{-4}=\frac{8}{-4}

a=-2

\mathrm{Verify\:Solutions}

\mathrm{Take\:the\:denominator\left(s\right)\:of\:}\frac{3}{a+2}-6\frac{a}{-4+a^2}-\frac{1}{a-2}\mathrm{\:and\:compare\:to\:zero}

\mathrm{Solve\:}\:a+2=0:\quad a=-2

\mathrm{Solve\:}\:-4+a^2=0:\quad a=2,\:a=-2

\mathrm{Solve\:}\:a-2=0:\quad a=2

So the following points are undefined

a=-2,\:a=2

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

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3 years ago
An equivalent expression for n x a using only addition
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