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Romashka-Z-Leto [24]
3 years ago
9

Graph 40-5y=x and plot coordinates.

Mathematics
1 answer:
almond37 [142]3 years ago
5 0
The graph is in the picture (0,8) (40,0)

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1,4,7,10,13,16   a_{n+1}=a_{n}+3
1,5,9,13,17,21   a_{n+1}=a_{n}+5
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The cost of a jacket increased from $55.00 to $62.15. What is the percentage increase of the cost of the jacket?
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The sum of the measures of all angles of a kite is ____ 180º (sometimes, always, never)
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3 years ago
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Jill has a collection of bugs. Her collection contains butterflies and tarantulas. She has 47 bugs and counts 320 total legs. (N
prisoha [69]

Answer:

The solution to this system of equations is:

  • B = 28
  • T = 19

Step-by-step explanation:

We are given that Jill has 47 bugs and counts a total 320 legs.

We can concur that by adding the total number of butterflies and the total number of tarantulas, we will get 47 bugs.

\text{tarantulas + butterflies} = 47

We are also told that T is tarantulas and B is butterflies.

T + B = 47

Then, we also know that butterflies have 6 legs and tarantulas have 8 legs. So, for every tarantula, we get a multiple of 8 and for butterflies, we get a multiple of 6. This gives us a new equation:

6B + 8T = 320

Now, we can set up a system of equation.

\displaystyle \left \{ {{B + T = 47} \atop {6B + 8T = 320}} \right.

Using the first equation, we can solve for B.

\displaystyle B + T = 47\\\\B + T - T = 47 - T\\\\B = 47 - T

Then, we can substitute this value of B into the second equation and solve for T.

\displaystyle 6(47-T)+8T=320\\\\282 - 6T + 8T = 320\\\\282 + 2T = 320\\\\2T + 282 = 320\\\\2T + 282 - 282 = 320 -282\\\\2T = 38\\\\\frac{2T}{2}=\frac{38}{2}\\\\T = 19

Finally, we can substitute this value of T into the first equation to solve for B.

B + 19 = 47\\\\B + 19 - 19 = 47 - 19\\\\B = 28

Therefore, the solution to this system of equations is:

  • B = 28
  • T = 19
7 0
3 years ago
Evaluate: f(x) = 2x^2 + 6x - 4; f(-5) *
jasenka [17]

f(x)=2x^2+6x-4\\

Find f(-5) by substituting x = -5 in the equation.

f(-5)=2(-5)^2+6(-5)-4\\f(-5)=2(25)-30-4\\f(-5)=50-34\\f(-5)=16

Therefore, the answer is f(-5) = 16

8 0
2 years ago
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