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Radda [10]
3 years ago
13

Given f(x) = 2x- 7. complete parts (a) through (c) below. Homework Help

Mathematics
1 answer:
vodka [1.7K]3 years ago
3 0
  • The value for f(0) is -7
  • The value of x for which f(x) = 0 is 3.5
  • The answer in part a shows that the y-intercept of graph f(x) is at (0, -7) while part (b) shows  that the x-intercept of the graph f(x) is at (3.5, 0)

Given the function f(x) = 2x - 7

a) To compute f(0), we will simply substitute x = 0 into the given expression as shown;

f(0) = 2(0) - 7

f(0) = 0 - 7

f(0) = -7

Hence the value for f(0) is -7

b) For f(x) = 0

Substitute f(x) = 0 in the expression as shown;

0 = 2x - 7

-2x = -7

x = 7/2

x = 3.5

Hence the value of x for which f(x) = 0 is 3.5

c) The answer in part a shows that the y-intercept of graph f(x) is at (0, -7) while part (b) shows  that the x-intercept of the graph f(x) is at (3.5, 0)

Learn more here: brainly.com/question/19859423

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Which of the following graphs of exponential functions corresponds to a geometric sequence with a first term of 4 and a ratio of
ser-zykov [4K]

Answer: graph E.


A geometric sequence can be written as:

a_{n} = a_{1} \cdot r^{(n - 1)}

where:

a₁ = first term = 4

r = ratio = 0.5


Substituting the numbers, we have:

a_{n} = 4 \cdot (\frac{1}{2})^{n-1}

or else

f(x) = 4 \cdot (\frac{1}{2})^{x - 1}


This is an exponential function with base less than 1. Therefore, we can exclude graph C (which depicts a linear function), and graphs A and D (which depict an exponential function with base greater than 1).


In order to choose between graph B and E, let's evaluate the function in two different points:

f(1) = 4 \cdot (\frac{1}{2})^{1 - 1} = 4

f(2) = 4 \cdot (\frac{1}{2})^{2 - 1} = 4 \cdot \frac{1}{2} = 2


Therefore, we need to look for the graph passing through the points (1, 4) and (2, 2). That is graph E.




3 0
3 years ago
Read 2 more answers
Meh needs some help once again
Ymorist [56]
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7 0
3 years ago
A farmer Has 900 yards of fencing to enclose a rectangular pasture for her goats. Since one side of the pasture borders a river,
horsena [70]

Answer:

Length, l=450 yards

Width, b=225 yards

Step-by-step explanation:

Let the long side be x and since the length is twice the width, then the width is half of that length hence 0.5x. Since we only have three parts to fence as one long side doesn't require fencing, then the perimeter will be given by x+0.5x+0.5x=2x=900 yards

X=900/2=450 yards for long side.

The short side is 0.5x hence 0.5*450=225 yards

In conclusion, the long side is 450 yards while short side is 225 yards.

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Answer:

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Step-by-step explanation:

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1. Jovi and Amillia are playing a game using the spinner below. Jovi will win the game on his next spin if the arrow lands on a
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For question number one, Jovi WILL most likely win.

Hope this helps.

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