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Alexandra [31]
3 years ago
12

HELP PLEASE IT GOING TO BE DUE SOON

Mathematics
2 answers:
faltersainse [42]3 years ago
6 0

Answer:

y = -\frac{3}{2} + 5

Step-by-step explanation:

Firstly, you know that there is a +5 because at x=0, y = 5

Now, to find the slope, you need to use a formula:

change in y ÷ change in x so, we use two graph points:

(0, 5) and (4, -1)

Now we can use the formula:

\frac{-1 - 5}{4 - 0}  = \frac{-6}{4}

Simplify:

\frac{-6/2}{4/2}  = \frac{-3}{2}

So now we can put the equation together and get:

y = -\frac{3}{2} + 5

Hope this helps!

aksik [14]3 years ago
5 0
Well what’s the question, is there a word question above?
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Scalcet8 4. 2. 26. suppose that 2 ≤ f '(x) ≤ 4 for all values of x. what are the minimum and maximum possible values of f(4) − f
ziro4ka [17]

The minimum value of f(4) - f(1) is <u>6</u>.

The maximum value of f(4) - f(1) is <u>12</u>.

In the question, we are given that, 2 ≤ f'(x) ≤ 4 for all values of x.

Taking the given inequality as (i).

We are asked to find the minimum and maximum possible values of f(4) - f(1).

We multiply (i) by dx throughout, to get:

4dx ≤ f'(x)dx ≤ 5dx.

To find this, we integrate (i) in the definite interval [4, 1] with respect to dx, to get:

\int_{1}^{4}2dx \leq \int_{1}^{4}f'(x)dx \leq \int_{1}^{4}4dx\\\Rightarrow [2x]_{1}^{4} \leq [f(x)]_{1}^{4} \leq [4x]_{1}^{4}\\\Rightarrow 2*4 - 2*1 \leq f(4)-f(1) \leq 4*4 - 4*1\\\Rightarrow 6 \leq f(4) -f(1) \leq 12

Thus, the minimum value of f(4) - f(1) is 6.

The maximum value of f(4) - f(1) is 12.

Learn more about definite integrals at

brainly.com/question/17074932

#SPJ4

8 0
2 years ago
Y + 6 = 5(x - 4)<br>Write the formula for f(x) in terms of x​
Mandarinka [93]

The formula for f(x) in y + 6 = 5(x - 4) in terms of x is f(x) = 5(x - 4) - 6

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Answer:

7854

Step-by-step explanation:

hope this helps! :)

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