F (x) = cx + 3In the function above, c is a constant. If f (1) = 1, what is the value of f (-4) ?
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If f(1) = 1 that means c is -2 because when you substitute x = 1 and when c = -2, you'll get f(1) = -2(1)+3 = -2+3 = 1
So the constant c is -2 and that means the value of f(-4) is
f(-4)=-2(-4)+3=8+3=11
Thus, the value of f(-4) is 11.
About why does "c" have to be -2, here's the proof.
Given y = f(x), therefore.
y=cx+3
Since when x = 1 and y = 1, then Substitute x = 1 and y = 1, thus 1 = c+3
1 - 3 = c and therefore, -2 = c #
So this is the proof that c = -2
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Find the missing side and round to the nearest tenth
Given f(x) = x - 10. What is f(-7) ?
What is the difference 4y/xy - 2x/xy^3
The sum of a number m and 7.1
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The car's rate in miles per minute is 1.55 miles.
The car will travel 23.25 miles in 15 minutes.
What is Speed- Distance Formula?
- Speed = Distance/Time
- Distance = Speed X Time
- Time = Distance / Speed
Given:
A car is traveling at a rate of 93 miles per hour.
In 60 minutes the car travel = 93 miles
So, In oneminutes the car travels = 93 /60
= 1.55 miles
and, In 15 minutes the car travel = 1.55 x 15
= 23.25miles
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Answer: The car is going 1.55 miles per minute.
Step-by-step explanation: Since there are 60 minutes in an hour, and the car is going 93 mph, you would simply divide 93 by 60.
Solve the equation for y.
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Answer:
Answers in the pic
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask =)
Final answer:
The equation 3x -7y=9 is solved for y by substituting the given x values (-1, 0, 1) and solving for y. The solutions for y are -1.71, -1.29, and -0.86 respectively when x is -1, 0, and 1 respectively.
Explanation:
To solve the equation 3x – 7y=9 for y, we must first substitute the given x values (-1, 0, 1) into the equation, then solve for y.
- When x = -1, our equation becomes 3(-1) - 7y = 9, which simplifies to -3 - 7y = 9. By adding 3 to both sides, we get -7y = 12, hence y = -12/7 = -1.71 approximately.
- When x = 0, our equation becomes 3(0) - 7y = 9, which simplifies to -7y = 9. Therefore, y = -9/7 = -1.29 approximately.
- When x = 1, our equation becomes 3(1) - 7y = 9, which simplifies to 3 - 7y = 9. By subtracting 3 from both sides, we get -7y=6, therefore y = -6/7 = -0.86 approximately.
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Volume = 950 cubic inches
V = 4/3 π r³ ; where π = 3.14
950 in³ = 4/3 * 3.14 * r³
950 in³ = 4.19 * r³
950 in³ ÷ 4.19 = r³
226.73 in³ = r³
∛226.73 in³ = ∛r³
6.09 = r
The radius is 6.09 or 6.10 inches.
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Answer:
p =
Step-by-step explanation:
change the mixed number to an improper fraction
- 2 = -
, hence
- p = - 3 ( multiply both sides by 7 )
- 15p = - 21 ( divide both sides by - 15 )
p = =
Final answer:
To solve this question, convert '-2 1/7' to an improper fraction (-15/7), then divide both sides of the equation by this value. This simplifies to p = 1.4 which is the solution.
Explanation:
In order to solve the equation (-2 1/7)p=-3, it's helpful to remember that multiplying each side of an equation by the same value does not change the solution. In this case, (-2 1/7) represents a fraction (-15/7) when converted to an improper fraction. Now, to isolate p on one side of the equation, divide both sides of the equation by (-15/7). This provides the solution: p = -3 / (-15/7), which simplifies to p = 1.4. Therefore, the solution to the equation is p = 1.4
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