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allochka39001 [22]
3 years ago
7

Hillary babysits for $6 per hour. She also works as a math tutor for $8 per hour. Her parents only allow her to work 14 hours pe

r week. She wants to make at least $90. Write and graph a system of inequalities to represent this situation where x = babysitting and y = tutoring . Which represents a viable solution for hours worked by Hillary?
Mathematics
1 answer:
Rudik [331]3 years ago
3 0

Answer:

(4.5, 8.5)

Step-by-step explanation:


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Write an equation for each linear function described. Show your work. The graph of the function passes through the point (2,1),
svp [43]

Step-by-step explanation:

As

  • The graph of the function passes through the point (2,1), and
  • y increases by 4 when x increases by 1.

so

x             y

2             1

3             5

4             9

5             13

6             17

and so on

From the table:

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(2,\:1\right),\:\left(x_2,\:y_2\right)=\left(3,\:5\right)

m=\frac{5-1}{3-2}

m=4

As the slope-intercept form of the line is

y=mx+b

putting m=4 and any point, let say (2, 1) to find y-intercept 'b'.

1=\left(4\right)2+b

8+b=1

8+b-8=1-8

b=-7

So putting b=-7 and m=4  in the slope-intercept form of the line

y=\left(4\right)x+\left(-7\right)

y=4x-7

Therefore, the equation for the linear function will be:

y=4x-7

8 0
3 years ago
According to u.s. postal regulations, the girth plus the length of a parcel sent by mail may not exceed 108 inches, where by "gi
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Let x represent the side length of the square end, and let d represent the dimension that is the sum of length and girth. Then the volume V is given by
  V = x²(d -4x)
Volume will be maximized when the derivative of V is zero.
  dV/dx = 0 = -12x² +2dx
  0 = -2x(6x -d)
This has solutions
  x = 0, x = d/6

a) The largest possible volume is
  (d/6)²(d -4d/6) = 2(d/6)³
  = 2(108 in/6)³ = 11,664 in³

b) The dimensions of the package with largest volume are
  d/6 = 18 inches square by
  d -4d/6 = d/3 = 36 inches long

8 0
3 years ago
WILL GIVE BRAINLIEST!!<br> only if you explain ur answer
FromTheMoon [43]
What’s the question LOLOL.
8 0
3 years ago
HURRY PLS
Dovator [93]
Y=2x-3 rise over run and then the y intercept
6 0
2 years ago
A raiz da equação 2x - 1 = - 3, é: ( U = Z)
motikmotik

Answer:

A raiz da equação 2x - 1 = - 3, é: ( U = Z)

Step-by-step explanation:

7 0
3 years ago
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