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Monica [59]
8 months ago
10

Let f(-1)=16 and f(5) = -8Write the equation of the line in slope intercept form that passes throughthese two points

Mathematics
1 answer:
sergeinik [125]8 months ago
4 0
\begin{gathered} \Rightarrow x_1=-1,y_1=16,x_2=5,y_2=-8 \\ \text{The line of equation is,} \\ (y-y_1)=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \\ y-16=\frac{-8-16}{5+1}(x+1) \\ y-16=\frac{-24}{6}(x+1) \\ y-16=-4(x+1) \\ y-16=-4x-4 \\ y=-4x+16-4 \\ y=-4x+12 \end{gathered}

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Danielle needs to have repairs done on her house and is looking to hire a plumber and an electrician. The cost of the plumber fo
mezya [45]

The total cost function is the sum of the two given functions, and this is equal to:

c(t) = 190 + 70*t

<h3>How to find the linear function for the total cost?</h3>

We know that:

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If she hires both of them for the same time t, then the total cost function will be given by the sum of the two above functions, we will get:

c(t) = p(t) + e(t)

c(t) = (115 + 25*t) + (55*t + 75)

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c(t) = 190 + 70*t

If you want to learn more about linear functions, you can read:

brainly.com/question/4025726

7 0
2 years ago
What is the relationship between the sine of an angle and cosine of the other acute angle in the same triangle? Will this be tru
elixir [45]
Consider in triangle as given below:

sin(A) = opposite/hypotenuse = BC/AC
cos(B) = adjacent/hypotenuse = BC/AC

<span>Now, both of them have the same hypotenuse and both will be equal. As you have seen already both the values are same.
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3 0
2 years ago
An object is dropped from a height of 288 feet. The equation, - 16t ^ 2 + 288t = h(t) represents the height, hof the object afte
Dafna1 [17]

18 seconds

Step-by-step explanation:

The object will reach the ground when its height h(t) = 0. Therefore, we can write

h(t) = 288t - 16t^2 = 0 \Rightarrow 16t^2 = 288t

Solving for t, we get

16t = 288 \Rightarrow t = 18\:\text{s}

8 0
2 years ago
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