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Alexandra [31]
3 years ago
6

9), please ignore my working already! And include an explanation, thank you!

Mathematics
1 answer:
Margarita [4]3 years ago
7 0
The graph shows that the function is equal to y = 2cos(3x) + 1 because in the graph I notice that the table is (0, 3), (60°, -1), and (120°, 3). It shows that a is equal to 2, b is equal to 3, and c is equal to -1, making the function equal to y = 2cos(3x) + 1

a = 2
b = 3
c = 1

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Find f' f(x)=sqr root(x+9), a=7<br>use the definition lim f(x+h)-f(x)/h
Romashka-Z-Leto [24]

f(x)=√(x+9)

f(x+h) =√(x+h+9)

f'(x) =  \lim_{h \to \\0} \frac{\sqrt{x+9+h}-\sqrt{x+9}}{h} = \\ \\ =    \lim_{h \to \\0} \frac{(\sqrt{x+9+h}-\sqrt{x+9})*(\sqrt{x+9+h}+\sqrt{x+9})}{h(\sqrt{x+9+h}+\sqrt{x+9})} =  \\ \\=   \lim_{h \to \\0} \frac{(\sqrt{x+9+h})^{2}-(\sqrt{x+9})^{2}}{h(\sqrt{x+9+h}+\sqrt{x+9})}= \\ \\= \lim_{n \to \\0} \frac{x+9+h-x-9}{h(\sqrt{x+9+h}+\sqrt{x+9})}=\lim_{n \to \\0} \frac{h}{h(\sqrt{x+9+h}+\sqrt{x+9})}=\lim_{n \to \\0} \frac{1}{(\sqrt{x+9+h}+\sqrt{x+9})} = \\ \\= \frac{1}{(\sqrt{x+9+0}+\sqrt{x+9})} =

=\frac{1}{(\sqrt{x+9}+\sqrt{x+9})} = \frac{1}{2\sqrt{x+9}}


f'(x)= \frac{1}{2\sqrt{x+9}}  \\ \\ f'(a)=\frac{1}{2\sqrt{a+9}}  \\ \\a=7 \\ \\f'(7)= \frac{1}{2\sqrt{7+9}} = \frac{1}{2*4} =\frac{1}{8} \\ \\f'(7)= \frac{1}{8}

3 0
3 years ago
118° (10x+2)° solve for x and z
Ghella [55]

Answer:

Simplifying

10x + -2 = 118

Reorder the terms:

-2 + 10x = 118

Solving

-2 + 10x = 118

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.

-2 + 2 + 10x = 118 + 2

Combine like terms: -2 + 2 = 0

0 + 10x = 118 + 2

10x = 118 + 2

<em><u>Combine like terms: 118 + 2 = 120</u></em>

<em><u>Combine like terms: 118 + 2 = 12010x = 120</u></em>

<em><u>Combine like terms: 118 + 2 = 12010x = 120Divide each side by '10'.</u></em>

<em><u>Combine like terms: 118 + 2 = 12010x = 120Divide each side by '10'.x = 12</u></em>

<em><u>Combine like terms: 118 + 2 = 12010x = 120Divide each side by '10'.x = 12Simplifying</u></em>

<em><u>Combine like terms: 118 + 2 = 12010x = 120Divide each side by '10'.x = 12Simplifyingx = 12</u></em>

6 0
3 years ago
F(x) = x^2 +3x-2<br> F(a) = ?<br> find F(x) for the given domain.
Delvig [45]

Answer:

<em>a^2 +3a-2</em>

Step-by-step explanation:

Given the expression:

g(x) =  x^2 +3x-2

We are to find f(a). To get this, we will simply replace x with a in the expression as shown;

g(a) = a^2 +3a-2

<em>hence the required domain is expressed as g(a) = a^2 +3a-2</em>

3 0
3 years ago
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Helga [31]

Answer:

$0.80

Step-by-step explanation:

percent times the original number equals the part

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5 0
3 years ago
How do i find the quotient of rational expressions???
alisha [4.7K]
First, turn it into a multiplication problem by multiplying by the reciprocal of the divisor. Then, you can cancel common factors in the numerator and denominator to make things easier to work with. Finally, multiply<span> to get your final answer!</span>
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