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find f(-2) given f(x) = -3x - 5

graph by hand: y = -1/2x + 4

for babysitting, nicole charges a flat fee of $3, plus $5 per hour. write an equation for the cost, c, after h hours of babysitting. what do you think the slope and the y-intercept represent? how much money will she make if she baby-sits 5 hours?

Step-by-step explanation:

f(-2) given f(x) -3x -5

f(-2) = 1

graph by hand y= -1/2 x+ 4

y int = ( 0,4)

x int ( can be found if  y = o)

0 = -1/2 x +4

solve for x

x = 8 in coordinates ( 8,0)

join the x and y intercepts

[ graph is attached ]

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°