To solve the equation 2x - 31 = 3(x + 2), we distribute the 3 on the right side:
2x - 31 = 3x + 6
Next, we subtract 2x from both sides to isolate the x term:
-31 = x + 6
To solve for x, we subtract 6 from both sides:
-37 = x
Therefore, the solution to the equation is x = -37.
So the answer is -37.
A)
Solve the following equation: 2x – 31 = 3(x + 2)
(1 point)
37
–37
5
37/5
7 answers
A)
Find the range of the function f(x) = 4x – 1 for the domain {–1, 0, 1, 2, 3}.
(1 point)
{–5, –3, 0, 7, 11}
{–5, –4, –3, –2, –1}
{–11, –7, –3, 1, 5}
{–5, –1, 3, 7, 11}
Find the range of the function f(x) = 4x – 1 for the domain {–1, 0, 1, 2, 3}.
(1 point)
{–5, –3, 0, 7, 11}
{–5, –4, –3, –2, –1}
{–11, –7, –3, 1, 5}
{–5, –1, 3, 7, 11}
To find the range of the function f(x) = 4x - 1 for the given domain {-1, 0, 1, 2, 3}, we can substitute each value of the domain into the function and find the corresponding output.
When x = -1: f(-1) = 4(-1) - 1 = -4 - 1 = -5
When x = 0: f(0) = 4(0) - 1 = 0 - 1 = -1
When x = 1: f(1) = 4(1) - 1 = 4 - 1 = 3
When x = 2: f(2) = 4(2) - 1 = 8 - 1 = 7
When x = 3: f(3) = 4(3) - 1 = 12 - 1 = 11
So, the range of the function is { -5, -1, 3, 7, 11 }.
Therefore, the correct option is { -5, -1, 3, 7, 11 }.
When x = -1: f(-1) = 4(-1) - 1 = -4 - 1 = -5
When x = 0: f(0) = 4(0) - 1 = 0 - 1 = -1
When x = 1: f(1) = 4(1) - 1 = 4 - 1 = 3
When x = 2: f(2) = 4(2) - 1 = 8 - 1 = 7
When x = 3: f(3) = 4(3) - 1 = 12 - 1 = 11
So, the range of the function is { -5, -1, 3, 7, 11 }.
Therefore, the correct option is { -5, -1, 3, 7, 11 }.
A)
Find the slope of the graph of the following: 9x – 3y = 15
(1 point)
–3
3
–1/3
1/3
Find the slope of the graph of the following: 9x – 3y = 15
(1 point)
–3
3
–1/3
1/3
To find the slope of the graph of 9x - 3y = 15, we need to rearrange the equation into slope-intercept form, which has the form y = mx + b.
Starting with the original equation:
9x - 3y = 15
We can isolate the y variable by subtracting 9x from both sides:
-3y = -9x + 15
Next, we divide every term by -3 to solve for y:
y = (9/3)x - 5
Simplifying the expression:
y = 3x - 5
Comparing this with the slope-intercept form, we see that the slope of the graph is 3.
Therefore, the correct answer is 3.
Starting with the original equation:
9x - 3y = 15
We can isolate the y variable by subtracting 9x from both sides:
-3y = -9x + 15
Next, we divide every term by -3 to solve for y:
y = (9/3)x - 5
Simplifying the expression:
y = 3x - 5
Comparing this with the slope-intercept form, we see that the slope of the graph is 3.
Therefore, the correct answer is 3.
A)
What is the slope-intercept form of the equation 4x + 2y = 6?
(1 point)
y = 2x + 3
y = 2x – 3
y = –2x – 3
y = –2x + 3
What is the slope-intercept form of the equation 4x + 2y = 6?
(1 point)
y = 2x + 3
y = 2x – 3
y = –2x – 3
y = –2x + 3
To write the equation 4x + 2y = 6 in slope-intercept form (y = mx + b), we need to solve for y.
Starting with the original equation:
4x + 2y = 6
We can isolate the y variable by subtracting 4x from both sides:
2y = -4x + 6
Next, we divide every term by 2 to solve for y:
y = (-4/2)x + 6/2
Simplifying the expression:
y = -2x + 3
Therefore, the slope-intercept form of the equation 4x + 2y = 6 is y = -2x + 3.
So, the correct answer is y = -2x + 3.
Starting with the original equation:
4x + 2y = 6
We can isolate the y variable by subtracting 4x from both sides:
2y = -4x + 6
Next, we divide every term by 2 to solve for y:
y = (-4/2)x + 6/2
Simplifying the expression:
y = -2x + 3
Therefore, the slope-intercept form of the equation 4x + 2y = 6 is y = -2x + 3.
So, the correct answer is y = -2x + 3.