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AleksandrR [38]
3 years ago
5

Use the graph of f(x) to evaluate the following:

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
3 0

Answer:

\large\boxed{\dfrac{1}{2}}

Step-by-step explanation:

\text{The average rate of change of function}\ f(x)\\\text{over the interval}\ a\leq x\leq b\ \text{is given by this expression:}\\\dfrac{f(b)-f(a)}{b-a}.\\\\\text{Read from graph the values of function for}\ x=3\ \text{and}\ x=5.\\(look\ at\ the\ picture)\\\\f(3)=1,\ f(5)=2\\\\\text{Substitute:}\\\\\dfrac{f(5)-f(3)}{5-3}=\dfrac{2-1}{2}=\dfrac{1}{2}

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Points X and Z are on a number line, and point Y partitions
abruzzese [7]

Answer:

The coordinate of Z is 13.36.

Step-by-step explanation:

According to the statement, we have the following information:

\frac{XY}{XZ} = \frac{5}{12} (1)

\frac{YZ}{XZ} = \frac{7}{12} (2)

X = 0.4 (3)

Y = 5.8 (4)

From (2), we have the following expression:

YZ = \frac{7}{12}\cdot XZ

Y-Z =\frac{7}{12}\cdot (X-Z)

Y - Z = \frac{7}{12}\cdot X -\frac{7}{12}\cdot Z

Y-\frac{7}{12}\cdot X = Z-\frac{7}{12}\cdot Z

\frac{5}{12}\cdot Z = Y-\frac{7}{12}\cdot X

5\cdot Z = 12\cdot Y-7\cdot X

Z = \frac{12}{5}\cdot Y-\frac{7}{5}\cdot X (5)

If we know that Y = 5.8 and X = 0.4, then the coordinate of Z is:

Z = \frac{12}{5}\cdot (5.8)-\frac{7}{5}\cdot (0.4)

Z = 13.36

The coordinate of Z is 13.36.

6 0
2 years ago
6, g 30,5 what is g ?
Troyanec [42]

Answer:

Do you mean g as in the acceleration due to gravity on Earth?

if so, it is 30.5g= 30.5 x 9.81 = 299.205 m/s^2

Step-by-step explanation:

5 0
2 years ago
How many 100 make 3200?
Gelneren [198K]
32!

32 100s can go into the number 3200! Hope this helped!
4 0
3 years ago
Please help show work?
Romashka-Z-Leto [24]
Oh I get this.
So what you have to do is leave the same denominator and just count. Once a fraction has the same numerator and denominator that means it is a whole number.
5 0
3 years ago
Read 2 more answers
5x^2-7x-6=0 in factored form
sesenic [268]
Your answer is x = -3/5, 2
4 0
3 years ago
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