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Marysya12 [62]
2 years ago
7

For each situation, determine the slope and y-intercept of the graph of the equation that describes the situation.

Mathematics
1 answer:
Vika [28.1K]2 years ago
8 0

Answer:

slope=200

y-intercept=500

Step-by-step explanation:

Equation of straight line in slope intercept form is given as

y=mx+b

here

slope=m=200/day

y-intercept=b=500

y=200x+500

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A health food store makes trail mix using dried fruit and nuts. The cost of the dried fruit is $2.50 per
Vinil7 [7]

Answer:

cost of dried fruit per pound=2.5 $/pound

cost of nuts per pound =2 $/pound

total cost=225$ =cost of dried fruit +total cost of nuts

To find the cost of dried fruit we need to multiply cost of dried fruit per pound and the number of bounds hence 2.5 x where x is the number of bounds

which is the total cost of dried fruit and consequently 2y is total cost of nuts where y is the weight of nuts in pound

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
I keep putting in the formula but I keep getting the answer wrong​
Advocard [28]

Answer:

314 in²  (nearest whole number)

Step-by-step explanation:

<u>Radius of a regular polygon</u>: The distance from the <u>center</u> of the polygon to any vertex.  The radius of a hexagon is equal to the length of one side.

Therefore, from inspection of the given diagram:

  • radius = 11 in  ⇒  side length = 11 in

To find the area of a regular polygon, we first need to calculate the apothem.   The <u>apothem</u> is the line drawn from the center of the polygon to the midpoint of one of its sides.

\textsf{Length of apothem (a)}=\dfrac{s}{2 \tan\left(\frac{180^{\circ}}{n}\right)}

where:

  • s = length of one side
  • n = number of sides

Given:

  • s = 11 in
  • n = 6

Substitute the given values into the formula and solve for a:

\implies \textsf{a}=\dfrac{11}{2 \tan\left(\frac{180^{\circ}}{6}\right)}=\dfrac{11\sqrt{3}}{2}

<u>Area of a Regular Polygon</u>

\textsf{A}=\dfrac{n\:s\:a}{2}

where:

  • n = number of sides
  • s = length of one side
  • a = apothem

Given:

  • n = 6
  • s = 11
  • \textsf{a}=\dfrac{11\sqrt{3}}{2}

Substitute the given values into the formula and solve for A:

\implies \sf A=\dfrac{6 \cdot 11 \cdot \dfrac{11\sqrt{3}}{2}}{2}

\implies \sf A=314.3672216...

\implies \sf A=314\:\:in^2\:\:(nearest\:whole\:number)

8 0
1 year ago
Make t the subject of the formula q=2-4t/t+3
stira [4]

Answer:

q. (3+t)=2-4t

q.3+q.t=2-4t

4t+q.t=2-3q

t (4+q)=2-3q

t=2-3q/4+q

Step-by-step explanation:

PLZZ MARK AS BRAINLIEST!!!!!

8 0
2 years ago
Find the vertex of y=-x^2+6x-12
Debora [2.8K]
You find the x coordinates using x = -b/2a  = -6/2(-1) = 3

Substitute 3 in the equation and find y

y = -(3^2) + 6(3) - 12 = -9 + 18 - 12 = -3

Vertex (3,-3)
8 0
3 years ago
Which of the following values would complete the ordered pair if the point is on the graph of f (x) = -3x + 2 ?
Scrat [10]

Answer: the y-coordinate that completes the point is 5.


Explanation:


An ordered pair (x, y) indicates the x-and-y coordinates of a general point, where x is the input value of a function and y is the output value.


The output value is y = f(x) and must be found applying the rule (function) to the given input value.


In this case the rulte is f(x) = - 3x + 2, and the input value, x,  is - 1 (the first value of the ordered pair).


This is the mathematical procedure:

  • x = - 1
  • f(x) = f (-1) = -3 (-1) + 2 = 3 + 2 = 5.
5 0
2 years ago
Read 2 more answers
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