Answer:
f(1) = 42
Step-by-step explanation:
Step 1: Switch all x out to 1 for f(1) which would look like this: f(1)=4(1)^2+3(1)+13
Step 2: You would then simplify it starting with 4(1)^2 which would equal 4 squared which equals 16.
Step 3: After simplifying you would have f(1)=16+3+13
Step 4: You then just add and get 42
Hope this helped :D
The answer to this question is (9.5)...
There is no option saying 9.5?
Answer:
x = 9.7
Step-by-step explanation:
Reference angle (θ) = 68°
Opposite = 24
Adjacent = x
Apply, the trigonometric function, TOA which is:
![tan (/theta) = \frac{Opp}{Adj}](https://tex.z-dn.net/?f=%20tan%20%28%2Ftheta%29%20%3D%20%5Cfrac%7BOpp%7D%7BAdj%7D%20)
Plug in the values
![tan 68 = \frac{24}{x}](https://tex.z-dn.net/?f=%20tan%2068%20%3D%20%5Cfrac%7B24%7D%7Bx%7D%20)
Multiply both sides by x
![x*tan 68 = 24](https://tex.z-dn.net/?f=%20x%2Atan%2068%20%3D%2024%20)
Divide both sides by tan 68
![x = \frac{24}{tan 68}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cfrac%7B24%7D%7Btan%2068%7D%20)
x = 9.69662942
x = 9.7 (nearest tenth)
The answer is 42 bc 42-6 is 36
9514 1404 393
Answer:
1/3
Step-by-step explanation:
The slope of a line is the ratio of its "rise" to its "run." The "rise" is the change in vertical distance, and the "run" is the corresponding change in horizontal distance between two points on the line. The formula for the slope is ...
![m=\dfrac{y_2-y_1}{x_2-x_1}\qquad\text{where $(x_1,y_1)$ and $(x_2,y_2)$ are points on the line}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5Cqquad%5Ctext%7Bwhere%20%24%28x_1%2Cy_1%29%24%20and%20%24%28x_2%2Cy_2%29%24%20are%20points%20on%20the%20line%7D)
In this problem, you are told the line passes through the origin, which is point (x, y) = (0, 0), and through point (6, 2). Using these coordinates in the slope formula gives ...
![m=\dfrac{2-0}{6-0}=\dfrac{2}{6}=\boxed{\dfrac{1}{3}}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B2-0%7D%7B6-0%7D%3D%5Cdfrac%7B2%7D%7B6%7D%3D%5Cboxed%7B%5Cdfrac%7B1%7D%7B3%7D%7D)
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You may notice that when the line passes through the origin, the slope is simply the ratio y/x of any point on the line. Here, that ratio is 2/6 = 1/3.
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<em>Additional comment</em>
A line through the origin is the graph of a <em>proportional</em> relationship. That is, y is proportional to x. The slope of the line is the <em>constant of proportionality</em>. The equation of the line is ...
y = kx . . . . . . where k is the constant of proportionality.
The line in this problem statement will have the equation ...
y = (1/3)x