Answer:
F(-1) = 1
x = 3
Step-by-step explanation:
1) Assume that f(-1) = y1
So that point A (x1 = -1; y1) is a point lying in the graph representing the equation y = f(x)
As it can be seen in the figure, the graph representing that equation crosses point (-1; 1)
=> Point A has y1 = 1
=> f (-1) =1
2) Assume that f(x2) = -2
So that point B (x2; y2 = -2) is a point on the graphy representing the equation y = f(x)
As indicated in the figure, the graph crosses point (3; -2)
=> Point B has x2 = 3
=> When f(x) = -2, x = 3
Answer:
3:11
Step-by-step explanation:
3x=11y
<u>Rearrange to the format of the ratio.</u>
11y = 3x
<u>Let's find </u><u>y/x</u><u>. </u><u>y/x</u><u> is </u><u>y:x.</u>
11y = 3x
<u>Divide both sides by </u><u>11</u><u>.</u>
11y/11 = 3x/11
y = 3x/11
<u>NOW LET'S DIVIDE BOTH SIDES BY </u><u>x</u><u> TO GET </u><u>x</u><u> AS THE DENOMINATOR OF </u><u>y</u><u>.</u>
y = 3x/11
y/x = (3x/11)/x
y/x = (3x/11) * 1/x
y/x = 3/11
Therefore, y:x = 3:11
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Answer:
y=-4x+7
Step-by-step explanation:
You put the points on a graph in desmos and then in a new line put the y=-4x+ and Playa round with numbers until you hit the point
Answer:
13.86 ft
Step-by-step explanation:
This can be represented by a right angled triangle with a hypotenuse of 16 feet and an angle of 60° between the hypotenuse side and the adjacent side.
The height of the pole is the side opposite to the angle 60°.
The trigonometric function states that for a right angled triangle:
sinθ = opposite / hypotenuse, cosθ = adjacent / hypotenuse, tanθ = opposite/ adjacent
To find the height of the flagpole, we use:
sin(60) = height / 16
height = 16 * sin(60)
height = 13.86 ft
The person with the incorrect reasoning for the height of the flagpole is Charlie when he should have utilized the sin function. Because he incorrectly selected the function.