Function f is defined by the equation f(x) = 3x-7.Find the value of x so that f(x) = 20 is true.
A.x = 10
B. x = 9
C.x = 11
D.x = 8
Answers
Final answer:
You can find the value of x in the function f(x) = 3x - 7 when f(x) = 20 by isolating x in the equation. This process leads to an answer of x = 9.
Explanation:
To solve this problem, you need to substitute the given function's value f(x)=20 into the equation and solve for x.
So, you have the equation 3x-7=20. In the next step, you add 7 to both sides to isolate 3x on one side, which gives you 3x=27.
Finally, divide both sides by 3 to find the value of x. Doing so, you get x = 27/3, which simplifies to x = 9.
Therefore, when f(x) = 20, the value of x is 9, which matches answer option B.
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Related Questions
An artist creates an abstract sculpture that appears as a box perched on top of a post the box is in the shape of a cube with edges measuring 5 inches each it is placed on top of a post in the shape of a rectangular prism with the length of 3 inches a width of 4 inches and a height of 18 inches what is the volume of the entire sculpture?
(-14) (divide sign)7+2
Identify the domain and range of the function graphed below.
write a rule for how to compare two quantities so that the second quantity has a value of 1 without using a diagram
Answers
x=8in and z=√100in
8²+y²=(√100)²
64+y²=100
y²=100-64
y²=36
√(y²)=√36
y=6
The answer is C: 6 in
Answers
+ y = -1 ⇒ y =
- 1
To graph this line, plot a point at the y-intercept (0, -1), than plot the next point using the rise over run from the slope by counting up 1 and to the right 3 of the y-intercept. This gives you a second point of (3. 0). Draw a line through those two coordinates.
Answer: Plot (0, -1) and (3, 0) and draw a line through them.
***************************************************************************************
y = 4 + ⇒ y =
+ 4
Same as above. Plot the y-intercept (0, 4) and then use rise over run from the slope to plot (3, 5).
Answer: Plot (0, 4) and (3, 5) and draw a line through them.
***********************************************************************************
You should end up with two PARALLEL lines. Since the lines never intersect, there are no solutions to this system of equations.
Answer: No Solution
Answers
Answer:
6
Step-by-step explanation:
if this is on bigideas ch 9.2 I did it and got it right
Answers
We want to get the resultant velocity and direction of an airplane given that we know the velocity of the airplane and the velocity of the wind.
We will get that the velocity is 70.7 mph and the direction is 85.8° north of east.
First, let's define north as the positive y-axis and east as the positive x-axis.
The airplane flies due north at 100mph, then the velocity of the airplane alone is:
V = (0mph, 100 mph)
The wind's velocity has a magnitude of 30mph at 80° south from east (or an angle of -80° in a general coordinate axis) then the components are:
- x-component = 30mph*cos(-80°) = 5.2 mph
- y-component = 30mph*sin(-80°) = -29.5 mph
Then the vector is:
V' = (5.2mph, -29.5 mph)
The resultant velocity is just the sum of these two vectors, so we have:
resultant velocity = (0mph, 100 mph) + (5.2mph, -29.5 mph)
= (5.2 mph, 70.5 mph)
The magnitude is:
M = √( (5.2 mph)^2 + ( 70.5 mph)^2) = 70.7 mph
And the direction is given by:
θ = Atan(70.5 mph/5.2 mph) = 85.8°
Meaning that the direction is 85.8° north of east.
If you want to learn more, you can read:
Answer:
velocity of the airiplaine is 104 m/s ( 73 degrees N of W)
Step-by-step explanation:
Answers
a = -34 + 12
a = -22
Answers
The length= x
The width= y
Perimeter is 28 cm, so...
Equation 1
x+x+y+y=28
2x+2y=28
x+y=14
x=14-y
Length is 10 com longer than width, so...
Equation 2
x-y=10
Substitute Equation 1 into Equation 2
x-y=10
14-y-y=10
-2y=-4
y=2
Substitute y=2 into Equation 1
x=14-y
=14-2
=12
Answer: Length=12 cm, Width=2 cm
Final answer:
The length of the rectangle is 12 cm and the width is 2 cm.
Explanation:
To solve this problem, you have to understand that the perimeter of a rectangle is given by the formula 2(length + width). You are given that the perimeter is 28 cm, and the length is 10 cm longer than the width. Let's denote the width as 'w'. So, the length would be 'w + 10 cm'. Substituting into the formula, we have:
2((w + 10) + w) = 28
which simplifies to:
2(2w + 10) = 28
4w + 20 = 28
Subtract 20 from each side:
4w = 8
Finally, divide each side by 4 to solve for 'w':
w = 2 cm. The width is 2 cm and the length, which is 10 cm more than the width is 12 cm.
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