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svp [43]
4 years ago
7

Write a linear function f with the values f(−1)=5 and f(3)=4.

Mathematics
1 answer:
Alexeev081 [22]4 years ago
7 0
You are given two points (-1,5), (3, 4)
find the slope: m=(4-5)/[3-(-1)]=-1/4
so you have y=(-1/4)x+b
use either point to find out b: 4=(-1/4)(3)+b  =>b=19/4
the equation is y=(-1/4)x+19/4
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Which of these is an exponential function?
zhenek [66]

B and D. You are welcome.

3 0
4 years ago
Read 2 more answers
Given f(x) =
sergejj [24]

Answer:

A

Step-by-step explanation:

We are given the function:

\displaystyle f(x) = \left\{        \begin{array}{ll}            2\cos(\pi x) \text{ for }  x \leq -1 \\ \\          \displaystyle   \frac{2}{\cos(\pi x)}\text{ for } x > -1        \end{array}    \right.

And we want to find:

\displaystyle \lim_{x\to -1}f(x)

So, we need to determine whether or not the limit exists. In other words, we will find the two one-sided limits.

Left-Hand Limit:

\displaystyle \lim_{x\to-1^-}f(x)

Since we are approaching from the left, we will use the first equation:

\displaystyle =\lim_{x\to -1^-}2\cos(\pi x)

By direct substitution:

=2\cos(\pi (-1))=2\cos(-\pi)=2(-1)=-2

Right-Hand Limit:

\displaystyle \lim_{x\to -1^+}f(x)

Since we are approaching from the right, we will use the second equation:

=\displaystyle \lim_{x\to -1^+}\frac{2}{\cos(\pi x)}

Direct substitution:

\displaystyle =\frac{2}{\cos(\pi (-1))}=\frac{2}{\cos(-\pi)}=\frac{2}{(-1)}=-2

So, we can see that:

\displaystyle \displaystyle \lim_{x\to-1^-}f(x)=\displaystyle \lim_{x\to -1^+}f(x) =-2

Since both the left- and right-hand limits exist and equal the same thing, we can conclude that:

\displaystyle \lim_{x \to -1}f(x)=-2

Our answer is A.

8 0
3 years ago
5/2 (7x-15)+x>13/2-3/2
Evgen [1.6K]

5(7x - 15) + 2x ≥ 13x - 3    <em>multiplied both sides by 2 to clear the denominator</em>

35x - 75 + 2x ≥ 13 x - 3     <em>distributed 5 into 7x-15</em>

37x - 75  ≥ 13x - 3             <em>added like terms (35x and 2x)</em>

24x - 75 ≥ -3                     <em>subtracted 13x from both sides</em>

24x ≥ 72                           <em>added 75 to both sides</em>

x ≥ 3                                  <em>divided both sides by 24</em>

Answer: x ≥ 3        Notation: [3, ∞)


8 0
3 years ago
Can someone help me pls?​
Aleks [24]
The answer is number two
8 0
3 years ago
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What is the equation of the line passing through the points (2/5, 19/20) and (1/3, 11/12) in slope-intercept form?
antiseptic1488 [7]

Answer: b is the answer

Step-by-step explanation:

4 0
3 years ago
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