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GuDViN [60]
3 years ago
15

What is the algebraic expression for the word phrase “the quotient of 18 and 9 less than a”?

Mathematics
1 answer:
sammy [17]3 years ago
7 0
The answer to the question above is option D: <span>18/ 9-a. If we try to analyze the word phrase above, this is the algebraic expression that matches it. When we say quotient, this is the number or the result of the division between two numbers. So the quotient of 18 and 9, this means that the answer of 18 divided by 9. And then, less than a. Less than a here means subtraction or minus. Therefore, this makes -a. </span>
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What are the critical points for g(θ) = 20θ − 5 tan θ
jarptica [38.1K]

g(θ) = 20θ − 5 tan θ

To find out critical points we take first derivative and set it =0

g(θ) = 20θ − 5 tan θ

g'(θ) = 20 − 5 sec^2(θ)

Now we set derivative =0

20 − 5 sec^2(θ)=0

Subtract 20 from both sides

− 5 sec^2(θ)=0 -20

Divide both sides by 5

sec^2(θ)= 4

Take square root on both sides

sec(θ)= -2  and sec(θ)= +2

sec can be written as 1/cos

so sec(θ)= -2  can be written as cos(θ)= -1/2

Using unit circle the value of θ is \frac{2\pi}{3} and\frac{4\pi}{3}

sec(θ)= 2  can be written as cos(θ)=1/2

Using unit circle the value of θ is \frac{\pi}{3}and\frac{5\pi}{3}

For general solution we add 2npi

So critical points are

\frac{2\pi}{3} + 2n\pi,\frac{4\pi}{3} + 2n\pi , \frac{\pi}{3} + 2n\pi, \frac{5\pi}{3} + 2n\pi


6 0
3 years ago
he graph of y=e^tan x-2 crosses the x axis at one point in the interval [0,1]. What is the slope of the graph at this point?
notsponge [240]
You need to differentiate the equation to find the answer
4 0
3 years ago
The equation y minus two-thirds = negative 2 (x minus one-fourth) is written in point-slope form. What is the equation in slope-
Diano4ka-milaya [45]

Answer:y = - 2x + 7/6

Step-by-step explanation:

The point slope form of the equation is expressed as

y - 2/3 = - 2(x - 1/4)

Comparing with the point slope form of an equation,

y - 1 = m(x - 1)

From the given equation,

Slope, m= - 2

The point through which the line passes through is ( 1/4 , 2/3)

The slope intercept form is expressed as

y = mx + c

Where

m represents slope

c represents intercept

To determine c, we we would substitute m = - 2, x = 1/4 and y = 2/3 into y = mx + c. It becomes

2/3 = - 2 × 1/4 + c

2/3 = - 1/2 + c

c = 2/3 + 1/2 = 7/6

Therefore, the slope intercept form would be

y = - 2x + 7/6

7 0
3 years ago
Can i get some on these please?^^​
kotykmax [81]

Answer:

These should be right hopefully! Hope it helps!

Download pdf
6 0
2 years ago
What is the length of the diagonal of a rectangle whose width is 100 centimeters and whose length is 180 centimeters. ( round th
Aloiza [94]
D                                              keep trying for your family

5 0
3 years ago
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